premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not happy and not old then mary is not funny.
Everyone who is both rich and not humble is both old and not strong.
If alice is both quiet and rich then alice is not calm and vice versa.
If someone is not calm then someone is wise or calm.
Everyone who is old is not humble.
If someone is humble then s... | Alice is not creative. | neutral | ((?[X]:((~happy(X)&~old(X))))=>(~funny(mary)))&
(![X]:((rich(X)&~humble(X))=>(old(X)&~strong(X))))&
(((quiet(alice)&rich(alice)))<=>(~calm(alice)))&
((?[X]:(~calm(X)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(old(X)=>~humble(X)))&
((?[X]:(humble(X)))<=>(?[X]:(~humble(X))))&
(![X]:(calm(X)=>(creative(X)|tall(X))))&
(((~wise... | ~creative(alice) | [] | null | 0 |
Everyone who is calm is both kind and calm.
Everyone who is both not rich and rich is old or tall.
Everyone who is not funny is both curious and not patient and vice versa.
Everyone who is not humble or patient is wise and vice versa.
Everyone who is not kind is both wise and patient and vice versa.
Everyone who is not... | Alice is wise. | contradiction | (![X]:(calm(X)=>(kind(X)&calm(X))))&
(![X]:((~rich(X)&rich(X))=>(old(X)|tall(X))))&
(![X]:(~funny(X)<=>(curious(X)&~patient(X))))&
(![X]:((~humble(X)|patient(X))<=>wise(X)))&
(![X]:(~kind(X)<=>(wise(X)&patient(X))))&
(![X]:(~funny(X)<=>(~brave(X)<~>brave(X))))&
((?[X]:((kind(X)&wise(X))))=>((~humble(fred)&~wise(fred)))... | wise(alice) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7649011895147710658301014
% SZS output start Proof for 7649011895147710658301014
3. ! [X0] : (~funny(X0) <=> (~patient(X0) & curious(X0))) [input p2]
4. ! [X0] : ((patient(X0) | ~humble(X0)) <=> wise(X0)) [input p3]
5. ! [X0] : (~kind(X0) <=> (patient(X0) & wise(X0))) [input p4]
6. ! [X0]... | 0 |
Everyone who is not creative or not brave is not curious.
Everyone who is not brave or not creative is both not funny and strong.
Everyone who is not tall is not calm or not creative.
Everyone who is either funny or strong is wise or not patient and vice versa.
Everyone who is not happy or not funny is either creative ... | Susan is not old. | entailment | (![X]:((~creative(X)|~brave(X))=>~curious(X)))&
(![X]:((~brave(X)|~creative(X))=>(~funny(X)&strong(X))))&
(![X]:(~tall(X)=>(~calm(X)|~creative(X))))&
(![X]:((funny(X)<~>strong(X))<=>(wise(X)|~patient(X))))&
(![X]:((~happy(X)|~funny(X))<=>(creative(X)<~>patient(X))))&
(![X]:((old(X)<~>strong(X))=>(~quiet(X)&humble(X))))... | ~old(susan) | [
"p0",
"p1",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8000285809207041631901614
% SZS output start Proof for 8000285809207041631901614
1. ! [X0] : ((~brave(X0) | ~creative(X0)) => ~curious(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~brave(X0)) => (strong(X0) & ~funny(X0))) [input p1]
12. ? [X0] : (kind(X0) | old(X0)) <=> ? [X0] : (~creati... | 0 |
Everyone who is not humble is generous and vice versa. Everyone who is both patient and curious is either not brave or not kind and vice versa. If fred is brave or generous then someone is either funny or not curious. Everyone who is both brave and kind is strong or happy and vice versa. Everyone who is not patient is ... | Mary is not happy. | neutral | (![X]:(~humble(X)<=>generous(X)))&
(![X]:((patient(X)&curious(X))<=>(~brave(X)<~>~kind(X))))&
(((brave(fred)|generous(fred)))=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:((brave(X)&kind(X))<=>(strong(X)|happy(X))))&
(![X]:(~patient(X)=>(wise(X)|strong(X))))&
(((~generous(mary)|~brave(mary)))=>(~quiet(mary)))&
(((wise(jo... | ~happy(mary) | [] | null | 0 |
If someone is kind or tall then susan is both curious and not curious and vice versa. Everyone who is either not calm or curious is either quiet or not humble and vice versa. If alice is both not old and not creative then fred is either not brave or not old. If mary is not old or strong then someone is either calm or w... | Mary is quiet. | entailment | ((?[X]:((kind(X)|tall(X))))<=>((curious(susan)&~curious(susan))))&
(![X]:((~calm(X)<~>curious(X))<=>(quiet(X)<~>~humble(X))))&
(((~old(alice)&~creative(alice)))=>((~brave(fred)<~>~old(fred))))&
(((~old(mary)|strong(mary)))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:((~quiet(X)|funny(X))=>(wise(X)&creative(X))))&
(((~tall(su... | quiet(mary) | [
"p0",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5070194827422046457186547
% SZS output start Proof for 5070194827422046457186547
1. ? [X0] : (tall(X0) | kind(X0)) <=> (~curious(susan) & curious(susan)) [input p0]
5. ! [X0] : ((funny(X0) | ~quiet(X0)) => (creative(X0) & wise(X0))) [input p4]
6. (kind(susan) & ~tall(susan)) <=> creative(... | 0 |
If someone is not tall or brave then someone is either quiet or not calm.
Everyone who is not creative is either patient or not creative and vice versa.
If paul is both not curious and not creative then alice is both not funny and wise.
If someone is either curious or old then someone is both not kind and not generous.... | John is not patient. | entailment | ((?[X]:((~tall(X)|brave(X))))=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:(~creative(X)<=>(patient(X)<~>~creative(X))))&
(((~curious(paul)&~creative(paul)))=>((~funny(alice)&wise(alice))))&
((?[X]:((curious(X)<~>old(X))))=>(?[X]:((~kind(X)&~generous(X)))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:((patient(X)<~>~strong(X))<... | ~patient(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2753728209576418978211614
% SZS output start Proof for 2753728209576418978211614
2. ! [X0] : (~creative(X0) <=> (patient(X0) <~> ~creative(X0))) [input p1]
25. patient(john) [input hypothesis]
47. ! [X0] : ((~creative(X0) | ((patient(X0) | creative(X0)) & (~creative(X0) | ~patient(X0)))) ... | 0 |
If john is both not wise and not humble then alice is patient.
If someone is both funny and not creative then mary is either tall or happy.
If john is not wise or generous then susan is either not generous or rich and vice versa.
Everyone who is not generous or not strong is both not rich and kind.
Everyone who is not ... | Fred is strong. | contradiction | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((tall(mary)<~>happy(mary))))&
(((~wise(john)|generous(john)))<=>((~generous(susan)<~>rich(susan))))&
(![X]:((~generous(X)|~strong(X))=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<... | strong(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1134359817294105989587942
% SZS output start Proof for 1134359817294105989587942
5. ! [X0] : (~funny(X0) <=> (~strong(X0) | funny(X0))) [input p4]
23. strong(fred) [input hypothesis]
40. ! [X0] : ((~funny(X0) | (strong(X0) & ~funny(X0))) & ((~strong(X0) | funny(X0)) | funny(X0))) [nnf tra... | 0 |
Everyone who is not rich is brave or kind and vice versa.
Everyone who is humble or not curious is either not brave or not funny and vice versa.
Everyone who is both generous and strong is kind or patient and vice versa.
If fred is both brave and happy then someone is strong and vice versa.
If someone is old or funny t... | Fred is curious. | neutral | (![X]:(~rich(X)<=>(brave(X)|kind(X))))&
(![X]:((humble(X)|~curious(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((generous(X)&strong(X))<=>(kind(X)|patient(X))))&
(((brave(fred)&happy(fred)))<=>(?[X]:(strong(X))))&
((?[X]:((old(X)|funny(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
((?[X]:((wise(X)&curious(X))))=>((~strong(paul)... | curious(fred) | [] | null | 0 |
If someone is quiet then paul is generous or tall.
If fred is not strong or not happy then fred is not curious or calm and vice versa.
Everyone who is brave is both rich and creative and vice versa.
Everyone who is not generous or not old is kind.
If someone is both not calm and not wise then lucy is both quiet and not... | Fred is not brave. | entailment | ((?[X]:(quiet(X)))=>((generous(paul)|tall(paul))))&
(((~strong(fred)|~happy(fred)))<=>((~curious(fred)|calm(fred))))&
(![X]:(brave(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)|~old(X))=>kind(X)))&
((?[X]:((~calm(X)&~wise(X))))=>((quiet(lucy)&~curious(lucy))))&
((strong(mary))=>((patient(fred)|brave(fred))))&
((?[... | ~brave(fred) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6752963083926200097366340
% SZS output start Proof for 6752963083926200097366340
3. ! [X0] : (brave(X0) <=> (creative(X0) & rich(X0))) [input p2]
12. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : rich(X0) [input p11]
23. brave(fred) [input hypothesis]
25. ? [X0] : (wise(X0) & ~wise(X0)) <=... | 0 |
If someone is both happy and not happy then someone is either not tall or not humble and vice versa.
Everyone who is not humble is both calm and funny and vice versa.
If lucy is both not humble and patient then susan is happy and vice versa.
Everyone who is either kind or not patient is wise.
If paul is happy then alic... | John is patient. | neutral | ((?[X]:((happy(X)&~happy(X))))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:(~humble(X)<=>(calm(X)&funny(X))))&
(((~humble(lucy)&patient(lucy)))<=>(happy(susan)))&
(![X]:((kind(X)<~>~patient(X))=>wise(X)))&
((happy(paul))=>(~generous(alice)))&
(![X]:(~funny(X)=>(~strong(X)|curious(X))))&
((?[X]:((old(X)|~quiet(X))))=>(ca... | patient(john) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave. Everyone who is funny or quiet is not quiet and vice versa. If someone is not tall or happy then someone is both quiet and funny. If someone is either brave or not old then someone is not quiet and vice versa. Everyone who is funny is both rich and calm. Ev... | Lucy is not wise. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((~tall(X)|happy(X))))=>(?[X]:((quiet(X)&funny(X)))))&
((?[X]:((brave(X)<~>~old(X))))<=>(?[X]:(~quiet(X))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~... | ~wise(lucy) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4350978116461585992786129
% SZS output start Proof for 4350978116461585992786129
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
3. ? [X0] : (happy(X0) | ~tall(X0)) => ? [X0] : (funny(X0) & quiet(X0)) [input p2]
11. (happy(lucy) <~> ~wise(lucy)) <=> ? [X0] : (~curious(X0) ... | 0 |
Everyone who is funny is either not wise or calm and vice versa. If someone is either happy or brave then lucy is not wise. Everyone who is not patient or calm is either wise or humble and vice versa. If lucy is not wise then susan is brave or creative. Everyone who is both not wise and not brave is quiet or not rich a... | Paul is not brave. | contradiction | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((happy(X)<~>brave(X))))=>(~wise(lucy)))&
(![X]:((~patient(X)|calm(X))<=>(wise(X)<~>humble(X))))&
((~wise(lucy))=>((brave(susan)|creative(susan))))&
(![X]:((~wise(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(... | ~brave(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5922920061515702064151463
% SZS output start Proof for 5922920061515702064151463
9. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p8]
25. ~brave(paul) [input hypothesis]
61. ! [X0] : ((patient(X0) | ((brave(X0) | patient(X0)) & (~patient(X0) | ~brave(X0)))) & (((patient(X... | 0 |
If someone is not generous or wise then someone is both not brave and humble and vice versa. Everyone who is not creative or creative is either rich or not tall and vice versa. Everyone who is not quiet or not humble is both not calm and old and vice versa. Everyone who is rich is old and vice versa. If alice is not ha... | Mary is not rich. | contradiction | ((?[X]:((~generous(X)|wise(X))))<=>(?[X]:((~brave(X)&humble(X)))))&
(![X]:((~creative(X)|creative(X))<=>(rich(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~calm(X)&old(X))))&
(![X]:(rich(X)<=>old(X)))&
(((~happy(alice)|wise(alice)))=>(~funny(fred)))&
(![X]:((humble(X)|patient(X))<=>(~funny(X)&funny(X))))&
(![X]:(... | ~rich(mary) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8510071330882029597813758
% SZS output start Proof for 8510071330882029597813758
3. ! [X0] : ((~humble(X0) | ~quiet(X0)) <=> (old(X0) & ~calm(X0))) [input p2]
4. ! [X0] : (rich(X0) <=> old(X0)) [input p3]
6. ! [X0] : ((patient(X0) | humble(X0)) <=> (funny(X0) & ~funny(X0))) [input p5]
18.... | 0 |
Everyone who is creative or not generous is both rich and not patient.
If alice is both curious and not kind then someone is both calm and not generous.
If someone is tall then someone is either wise or creative.
If fred is not quiet or not kind then someone is not rich.
Everyone who is patient or happy is either not f... | John is not kind. | contradiction | (![X]:((creative(X)|~generous(X))=>(rich(X)&~patient(X))))&
(((curious(alice)&~kind(alice)))=>(?[X]:((calm(X)&~generous(X)))))&
((?[X]:(tall(X)))=>(?[X]:((wise(X)<~>creative(X)))))&
(((~quiet(fred)|~kind(fred)))=>(?[X]:(~rich(X))))&
(![X]:((patient(X)|happy(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((quiet(X)&generous(X))<... | ~kind(john) | [
"p0",
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4326937431846164733758816
% SZS output start Proof for 4326937431846164733758816
1. ! [X0] : ((~generous(X0) | creative(X0)) => (~patient(X0) & rich(X0))) [input p0]
12. ! [X0] : ((~calm(X0) & strong(X0)) <=> (kind(X0) & ~humble(X0))) [input p11]
13. ! [X0] : ((~strong(X0) | patient(X0)) ... | 0 |
If someone is generous then paul is not generous or not kind and vice versa. Everyone who is wise is both not kind and kind and vice versa. If fred is calm then john is wise or generous. Everyone who is either not generous or patient is both not creative and not patient. Everyone who is brave is both not wise and not o... | Lucy is not humble. | neutral | ((?[X]:(generous(X)))<=>((~generous(paul)|~kind(paul))))&
(![X]:(wise(X)<=>(~kind(X)&kind(X))))&
((calm(fred))=>((wise(john)|generous(john))))&
(![X]:((~generous(X)<~>patient(X))=>(~creative(X)&~patient(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:((funny(X)&~patient(X))))<=>((curious(mary)|~quiet(mary))))&
((... | ~humble(lucy) | [] | null | 0 |
Everyone who is both not happy and not creative is not tall or happy and vice versa.
Everyone who is both happy and not brave is either old or not curious and vice versa.
Everyone who is curious or quiet is not brave.
Everyone who is either curious or happy is happy and vice versa.
Everyone who is not humble or happy i... | Paul is not quiet. | entailment | (![X]:((~happy(X)&~creative(X))<=>(~tall(X)|happy(X))))&
(![X]:((happy(X)&~brave(X))<=>(old(X)<~>~curious(X))))&
(![X]:((curious(X)|quiet(X))=>~brave(X)))&
(![X]:((curious(X)<~>happy(X))<=>happy(X)))&
(![X]:((~humble(X)|happy(X))<=>(curious(X)&~quiet(X))))&
(![X]:(~calm(X)<=>(~old(X)|creative(X))))&
((?[X]:((happy(X)&~... | ~quiet(paul) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5865988300184153017803655
% SZS output start Proof for 5865988300184153017803655
1. ! [X0] : ((~creative(X0) & ~happy(X0)) <=> (happy(X0) | ~tall(X0))) [input p0]
3. ! [X0] : ((quiet(X0) | curious(X0)) => ~brave(X0)) [input p2]
4. ! [X0] : ((curious(X0) <~> happy(X0)) <=> happy(X0)) [inpu... | 0 |
If lucy is not old or humble then someone is either patient or kind and vice versa.
Everyone who is both calm and not wise is either generous or not calm and vice versa.
If alice is both not humble and not creative then someone is either not patient or wise and vice versa.
Everyone who is both old and generous is not f... | Alice is not tall. | entailment | (((~old(lucy)|humble(lucy)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((calm(X)&~wise(X))<=>(generous(X)<~>~calm(X))))&
(((~humble(alice)&~creative(alice)))<=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((old(X)&generous(X))=>~funny(X)))&
(![X]:((~brave(X)|~happy(X))=>~brave(X)))&
((?[X]:((~wise(X)|brave(X))))=>(humble(l... | ~tall(alice) | [
"p1",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7977921370553382523963140
% SZS output start Proof for 7977921370553382523963140
2. ! [X0] : ((~wise(X0) & calm(X0)) <=> (generous(X0) <~> ~calm(X0))) [input p1]
7. ! [X0] : ((generous(X0) | strong(X0)) => (calm(X0) & ~tall(X0))) [input p6]
10. ! [X0] : ((~happy(X0) & tall(X0)) <=> (wise(... | 0 |
Everyone who is not humble is both not wise and not funny and vice versa. Everyone who is both not calm and not quiet is generous. Everyone who is old or not tall is both tall and not patient. Everyone who is calm is not funny. Everyone who is both rich and not calm is calm or generous and vice versa. Everyone who is n... | Fred is quiet. | neutral | (![X]:(~humble(X)<=>(~wise(X)&~funny(X))))&
(![X]:((~calm(X)&~quiet(X))=>generous(X)))&
(![X]:((old(X)|~tall(X))=>(tall(X)&~patient(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:((rich(X)&~calm(X))<=>(calm(X)|generous(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:((~rich(X)|~humble(X))=>(generous(X)&strong(X))))&
(![X]:... | quiet(fred) | [] | null | 0 |
Everyone who is calm is creative or quiet.
If someone is both not patient and not curious then someone is not funny and vice versa.
Everyone who is either not rich or curious is not rich.
If lucy is either not calm or rich then susan is happy.
Everyone who is kind is not strong or not generous.
If someone is happy or n... | Mary is not calm. | contradiction | (![X]:(calm(X)=>(creative(X)|quiet(X))))&
((?[X]:((~patient(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)<~>curious(X))=>~rich(X)))&
(((~calm(lucy)<~>rich(lucy)))=>(happy(susan)))&
(![X]:(kind(X)=>(~strong(X)|~generous(X))))&
((?[X]:((happy(X)|~creative(X))))=>(?[X]:(~generous(X))))&
(![X]:(funny(X)<=>(humb... | ~calm(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7818618602823432331379726
% SZS output start Proof for 7818618602823432331379726
13. ! [X0] : ((~old(X0) & calm(X0)) <=> ~calm(X0)) [input p12]
24. ~calm(mary) [input hypothesis]
66. ! [X0] : (((~old(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (old(X0) | ~calm(X0)))) [nnf transformation 13... | 0 |
If someone is tall then someone is either not funny or creative and vice versa.
Everyone who is both not humble and wise is either not curious or not old.
If someone is not happy then someone is not patient or not generous and vice versa.
Everyone who is both not calm and strong is not patient and vice versa.
If mary i... | Paul is not tall. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~humble(X)&wise(X))=>(~curious(X)<~>~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~calm(X)&strong(X))<=>~patient(X)))&
(((patient(mary)|~humble(mary)))=>((~generous(mary)&calm(mary))))&
(![X]:(generous(X)=>(calm(X)&~wise(... | ~tall(paul) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2448002767382577845856655
% SZS output start Proof for 2448002767382577845856655
1. ? [X0] : tall(X0) <=> ? [X0] : (~funny(X0) <~> creative(X0)) [input p0]
4. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (generous(X0) => (~wise(X0) & calm(X0))) [input p5]
8.... | 0 |
If someone is both not tall and strong then someone is either strong or funny.
Everyone who is not brave or funny is either not curious or not kind and vice versa.
If paul is wise then someone is not rich and vice versa.
Everyone who is both not calm and not patient is not generous or not strong and vice versa.
Everyon... | Paul is funny. | contradiction | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:((strong(X)<~>funny(X)))))&
(![X]:((~brave(X)|funny(X))<=>(~curious(X)<~>~kind(X))))&
((wise(paul))<=>(?[X]:(~rich(X))))&
(![X]:((~calm(X)&~patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:((~kind(X)<~>~generous(X))<=>(~creative(X)<~>curious(X))))&
(![X]:(wise(X)=>(creative(X)<~>pa... | funny(paul) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 391272084408331771209826
% SZS output start Proof for 391272084408331771209826
2. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (~curious(X0) <~> ~kind(X0))) [input p1]
4. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> (~strong(X0) | ~generous(X0))) [input p3]
7. ! [X0] : ((kind(X0) | wise(X0)) => ~hu... | 0 |
Everyone who is not quiet is humble or not rich and vice versa. Everyone who is either not curious or old is either not creative or kind. Everyone who is both not generous and humble is either not creative or patient. Everyone who is either not kind or not patient is rich or not tall and vice versa. Everyone who is not... | Alice is generous. | contradiction | (![X]:(~quiet(X)<=>(humble(X)|~rich(X))))&
(![X]:((~curious(X)<~>old(X))=>(~creative(X)<~>kind(X))))&
(![X]:((~generous(X)&humble(X))=>(~creative(X)<~>patient(X))))&
(![X]:((~kind(X)<~>~patient(X))<=>(rich(X)|~tall(X))))&
(![X]:(~curious(X)=>(creative(X)|kind(X))))&
(![X]:((~humble(X)|calm(X))=>(~brave(X)<~>strong(X)))... | generous(alice) | [
"p0",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2306675613458596804567323
% SZS output start Proof for 2306675613458596804567323
1. ! [X0] : (~quiet(X0) <=> (~rich(X0) | humble(X0))) [input p0]
9. ? [X0] : (quiet(X0) & ~old(X0)) <=> ? [X0] : (generous(X0) | calm(X0)) [input p8]
12. ! [X0] : ((~old(X0) & quiet(X0)) <=> ~rich(X0)) [input... | 0 |
Everyone who is both tall and brave is creative and vice versa. Everyone who is both not brave and not old is both old and strong. If susan is either old or not creative then someone is curious or not quiet and vice versa. Everyone who is calm is happy or not tall. Everyone who is either kind or brave is both brave and... | Paul is not wise. | contradiction | (![X]:((tall(X)&brave(X))<=>creative(X)))&
(![X]:((~brave(X)&~old(X))=>(old(X)&strong(X))))&
(((old(susan)<~>~creative(susan)))<=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:(calm(X)=>(happy(X)|~tall(X))))&
(![X]:((kind(X)<~>brave(X))=>(brave(X)&~curious(X))))&
((?[X]:(curious(X)))<=>((humble(paul)&~old(paul))))&
((?[X]:((... | ~wise(paul) | [
"p1",
"p5",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4748401851410074504518645
% SZS output start Proof for 4748401851410074504518645
2. ! [X0] : ((~old(X0) & ~brave(X0)) => (strong(X0) & old(X0))) [input p1]
6. ? [X0] : curious(X0) <=> (~old(paul) & humble(paul)) [input p5]
14. ! [X0] : ((~wise(X0) | strong(X0)) <=> ~brave(X0)) [input p13]... | 0 |
Everyone who is both not rich and not quiet is either not quiet or patient and vice versa.
If susan is both not wise and rich then someone is brave or calm.
Everyone who is creative is funny or creative and vice versa.
Everyone who is either tall or creative is not wise and vice versa.
If someone is either not happy or... | Paul is calm. | entailment | (![X]:((~rich(X)&~quiet(X))<=>(~quiet(X)<~>patient(X))))&
(((~wise(susan)&rich(susan)))=>(?[X]:((brave(X)|calm(X)))))&
(![X]:(creative(X)<=>(funny(X)|creative(X))))&
(![X]:((tall(X)<~>creative(X))<=>~wise(X)))&
((?[X]:((~happy(X)<~>funny(X))))=>((kind(alice)&brave(alice))))&
(![X]:((strong(X)<~>~patient(X))=>(~calm(X)<... | calm(paul) | [
"p0",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3090525783749378246696503
% SZS output start Proof for 3090525783749378246696503
1. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> (~quiet(X0) <~> patient(X0))) [input p0]
6. ! [X0] : ((strong(X0) <~> ~patient(X0)) => (~calm(X0) <~> ~patient(X0))) [input p5]
7. ! [X0] : (creative(X0) <=> (quiet(X... | 0 |
If someone is not quiet then someone is either brave or not creative.
Everyone who is patient is not wise and vice versa.
Everyone who is either not brave or patient is not creative and vice versa.
If someone is both not generous and not curious then someone is not tall or not kind.
Everyone who is both calm and happy ... | Alice is creative. | contradiction | ((?[X]:(~quiet(X)))=>(?[X]:((brave(X)<~>~creative(X)))))&
(![X]:(patient(X)<=>~wise(X)))&
(![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((calm(X)&happy(X))<=>~curious(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~... | creative(alice) | [
"p2",
"p4",
"p5",
"p9",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7964934535731468377126927
% SZS output start Proof for 7964934535731468377126927
3. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((happy(X0) & calm(X0)) <=> ~curious(X0)) [input p4]
6. ! [X0] : ((quiet(X0) <~> happy(X0)) <=> (~patient(X0) <~> ~quiet(X0)... | 0 |
If alice is not old then paul is funny or not strong. If paul is generous or kind then someone is wise and vice versa. Everyone who is either generous or not happy is not strong and vice versa. If alice is funny then mary is not humble or brave. Everyone who is either not tall or not humble is both not old and not tall... | Lucy is not humble. | neutral | ((~old(alice))=>((funny(paul)|~strong(paul))))&
(((generous(paul)|kind(paul)))<=>(?[X]:(wise(X))))&
(![X]:((generous(X)<~>~happy(X))<=>~strong(X)))&
((funny(alice))=>((~humble(mary)|brave(mary))))&
(![X]:((~tall(X)<~>~humble(X))=>(~old(X)&~tall(X))))&
(![X]:((curious(X)&wise(X))=>(~strong(X)|rich(X))))&
(![X]:(humble(X... | ~humble(lucy) | [] | null | 0 |
Everyone who is quiet or humble is tall.
Everyone who is generous or curious is both wise and not patient.
If fred is both rich and not calm then someone is both patient and not funny and vice versa.
Everyone who is either kind or generous is kind.
Everyone who is not humble is not brave and vice versa.
If fred is old ... | Susan is humble. | entailment | (![X]:((quiet(X)|humble(X))=>tall(X)))&
(![X]:((generous(X)|curious(X))=>(wise(X)&~patient(X))))&
(((rich(fred)&~calm(fred)))<=>(?[X]:((patient(X)&~funny(X)))))&
(![X]:((kind(X)<~>generous(X))=>kind(X)))&
(![X]:(~humble(X)<=>~brave(X)))&
(((old(fred)|quiet(fred)))=>(?[X]:((tall(X)&strong(X)))))&
(![X]:((brave(X)&~gener... | humble(susan) | [
"p0",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6134127447491379782532344
% SZS output start Proof for 6134127447491379782532344
1. ! [X0] : ((humble(X0) | quiet(X0)) => tall(X0)) [input p0]
5. ! [X0] : (~humble(X0) <=> ~brave(X0)) [input p4]
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> (generous(X0) | tall(X0))) [input p6]
15. ~brave(... | 0 |
If susan is both calm and not humble then lucy is both not curious and not old. If john is either curious or not patient then someone is both not rich and tall and vice versa. If someone is not curious then susan is both not rich and brave and vice versa. Everyone who is not wise or not curious is not generous and vice... | Mary is not wise. | entailment | (((calm(susan)&~humble(susan)))=>((~curious(lucy)&~old(lucy))))&
(((curious(john)<~>~patient(john)))<=>(?[X]:((~rich(X)&tall(X)))))&
((?[X]:(~curious(X)))<=>((~rich(susan)&brave(susan))))&
(![X]:((~wise(X)|~curious(X))<=>~generous(X)))&
(((kind(paul)<~>~patient(paul)))<=>((~brave(lucy)|brave(lucy))))&
(![X]:((rich(X)|q... | ~wise(mary) | [
"p5",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3064804645266603102519796
% SZS output start Proof for 3064804645266603102519796
6. ! [X0] : ((quiet(X0) | rich(X0)) => (~happy(X0) <~> ~brave(X0))) [input p5]
10. ! [X0] : (funny(X0) => (~happy(X0) & patient(X0))) [input p9]
11. ! [X0] : (happy(X0) => funny(X0)) [input p10]
13. ! [X0] : ... | 0 |
If lucy is either rich or not humble then lucy is both kind and not patient and vice versa. If susan is brave then lucy is both calm and not creative and vice versa. If someone is either not humble or brave then someone is both patient and not brave. If paul is tall or not rich then alice is both not wise and calm. Eve... | Susan is not humble. | contradiction | (((rich(lucy)<~>~humble(lucy)))<=>((kind(lucy)&~patient(lucy))))&
((brave(susan))<=>((calm(lucy)&~creative(lucy))))&
((?[X]:((~humble(X)<~>brave(X))))=>(?[X]:((patient(X)&~brave(X)))))&
(((tall(paul)|~rich(paul)))=>((~wise(alice)&calm(alice))))&
(![X]:((kind(X)<~>humble(X))=>(curious(X)<~>brave(X))))&
(![X]:(~curious(X... | ~humble(susan) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 87831584945249904744021
% SZS output start Proof for 87831584945249904744021
7. ! [X0] : ((humble(X0) <~> brave(X0)) <=> (strong(X0) & ~brave(X0))) [input p6]
19. strong(susan) & ~creative(susan) [input p18]
25. ~humble(susan) [input hypothesis]
49. ! [X0] : ((((~brave(X0) | ~humble(X0)) ... | 0 |
Everyone who is both not creative and not strong is both happy and not tall and vice versa.
If lucy is either not generous or creative then someone is both not kind and not quiet.
If alice is either not rich or not patient then someone is not strong and vice versa.
Everyone who is either not curious or tall is not curi... | Fred is not creative. | neutral | (![X]:((~creative(X)&~strong(X))<=>(happy(X)&~tall(X))))&
(((~generous(lucy)<~>creative(lucy)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((~rich(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)<~>tall(X))=>(~curious(X)|~strong(X))))&
(((~funny(susan)|quiet(susan)))=>(?[X]:(~rich(X))))&
(![X]:((~quiet(X)<... | ~creative(fred) | [] | null | 0 |
If mary is either generous or calm then someone is either creative or not happy.
Everyone who is either strong or not happy is either quiet or not tall and vice versa.
Everyone who is either not kind or strong is both curious and not wise.
Everyone who is curious is not old.
If someone is both brave and strong then fre... | Mary is old. | neutral | (((generous(mary)<~>calm(mary)))=>(?[X]:((creative(X)<~>~happy(X)))))&
(![X]:((strong(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(![X]:((~kind(X)<~>strong(X))=>(curious(X)&~wise(X))))&
(![X]:(curious(X)=>~old(X)))&
((?[X]:((brave(X)&strong(X))))=>((funny(fred)&~happy(fred))))&
((?[X]:((~generous(X)&~happy(X))))<=>(~ric... | old(mary) | [] | null | 0 |
Everyone who is either not quiet or creative is either humble or not wise.
If paul is not rich then alice is generous or not wise.
If someone is either not calm or strong then susan is wise and vice versa.
Everyone who is not tall is either generous or creative.
Everyone who is not curious or not generous is both not k... | Mary is not old. | entailment | (![X]:((~quiet(X)<~>creative(X))=>(humble(X)<~>~wise(X))))&
((~rich(paul))=>((generous(alice)|~wise(alice))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(wise(susan)))&
(![X]:(~tall(X)=>(generous(X)<~>creative(X))))&
(![X]:((~curious(X)|~generous(X))<=>(~kind(X)&wise(X))))&
((happy(lucy))=>(?[X]:((wise(X)<~>~strong(X)))))&
(!... | ~old(mary) | [
"p6",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1321506331859220454126912
% SZS output start Proof for 1321506331859220454126912
7. ! [X0] : (creative(X0) <=> (humble(X0) & ~tall(X0))) [input p6]
10. ! [X0] : ((~humble(X0) | ~creative(X0)) <=> (~old(X0) & ~tall(X0))) [input p9]
13. ! [X0] : (happy(X0) <=> (~humble(X0) <~> ~creative(X0)... | 0 |
If someone is both not tall and generous then paul is not tall.
Everyone who is tall or wise is both old and not creative.
Everyone who is both not curious and not rich is not calm or not creative.
Everyone who is either tall or patient is both not quiet and old and vice versa.
Everyone who is either happy or not gener... | Paul is not creative. | contradiction | ((?[X]:((~tall(X)&generous(X))))=>(~tall(paul)))&
(![X]:((tall(X)|wise(X))=>(old(X)&~creative(X))))&
(![X]:((~curious(X)&~rich(X))=>(~calm(X)|~creative(X))))&
(![X]:((tall(X)<~>patient(X))<=>(~quiet(X)&old(X))))&
(![X]:((happy(X)<~>~generous(X))<=>~kind(X)))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((quiet(X)|funny(X))<=>(ca... | ~creative(paul) | [
"p1",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6461145102475489668295892
% SZS output start Proof for 6461145102475489668295892
2. ! [X0] : ((wise(X0) | tall(X0)) => (~creative(X0) & old(X0))) [input p1]
6. ! [X0] : (~old(X0) <=> wise(X0)) [input p5]
8. ! [X0] : ((~brave(X0) | brave(X0)) => (rich(X0) <~> wise(X0))) [input p7]
15. ! [X... | 0 |
Everyone who is wise or not tall is not kind or not happy and vice versa. Everyone who is either not patient or not kind is brave. If someone is either strong or not quiet then alice is both not strong and not wise and vice versa. Everyone who is brave or strong is humble or curious and vice versa. If fred is either no... | Alice is not tall. | neutral | (![X]:((wise(X)|~tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~patient(X)<~>~kind(X))=>brave(X)))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((~strong(alice)&~wise(alice))))&
(![X]:((brave(X)|strong(X))<=>(humble(X)|curious(X))))&
(((~creative(fred)<~>~humble(fred)))<=>((~happy(paul)<~>old(paul))))&
(((~wise(susan)<~>~tall(sus... | ~tall(alice) | [] | null | 0 |
Everyone who is not happy is quiet or funny and vice versa.
If susan is either brave or old then someone is wise.
If mary is both creative and calm then fred is not happy and vice versa.
Everyone who is not kind is both rich and calm.
If susan is rich or curious then alice is kind or not brave.
If someone is wise or no... | Mary is not rich. | contradiction | (![X]:(~happy(X)<=>(quiet(X)|funny(X))))&
(((brave(susan)<~>old(susan)))=>(?[X]:(wise(X))))&
(((creative(mary)&calm(mary)))<=>(~happy(fred)))&
(![X]:(~kind(X)=>(rich(X)&calm(X))))&
(((rich(susan)|curious(susan)))=>((kind(alice)|~brave(alice))))&
((?[X]:((wise(X)|~generous(X))))=>((old(susan)|happy(susan))))&
(((old(ali... | ~rich(mary) | [
"p3",
"p9",
"p10",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5825163123210734970710235
% SZS output start Proof for 5825163123210734970710235
4. ! [X0] : (~kind(X0) => (calm(X0) & rich(X0))) [input p3]
10. ! [X0] : (humble(X0) <=> (~kind(X0) | quiet(X0))) [input p9]
11. ? [X0] : (old(X0) | ~curious(X0)) => humble(mary) [input p10]
14. ! [X0] : (qui... | 0 |
Everyone who is funny or not quiet is not kind or wise and vice versa.
If lucy is kind then someone is rich or quiet.
Everyone who is not wise is not humble or not kind.
If someone is brave or wise then lucy is both not wise and creative and vice versa.
Everyone who is old or wise is not old or rich and vice versa.
If ... | Susan is not brave. | entailment | (![X]:((funny(X)|~quiet(X))<=>(~kind(X)|wise(X))))&
((kind(lucy))=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:(~wise(X)=>(~humble(X)|~kind(X))))&
((?[X]:((brave(X)|wise(X))))<=>((~wise(lucy)&creative(lucy))))&
(![X]:((old(X)|wise(X))<=>(~old(X)|rich(X))))&
(((humble(mary)|~curious(mary)))<=>(brave(susan)))&
(![X]:(strong(X)=>... | ~brave(susan) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2374881489136491276479624
% SZS output start Proof for 2374881489136491276479624
4. ? [X0] : (wise(X0) | brave(X0)) <=> (creative(lucy) & ~wise(lucy)) [input p3]
18. ~creative(lucy) [input p17]
25. brave(susan) [input hypothesis]
41. (? [X0] : (wise(X0) | brave(X0)) | (~creative(lucy) | w... | 0 |
Everyone who is both not quiet and creative is both not generous and not patient and vice versa. If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If some... | Mary is rich. | neutral | (![X]:((~quiet(X)&creative(X))<=>(~generous(X)&~patient(X))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X)... | rich(mary) | [] | null | 0 |
Everyone who is not old is both strong and patient.
Everyone who is both not generous and not strong is not rich or happy.
If john is both not tall and brave then someone is both curious and not tall and vice versa.
Everyone who is tall is either not quiet or humble.
Everyone who is both not patient and old is either n... | Fred is not strong. | entailment | (![X]:(~old(X)=>(strong(X)&patient(X))))&
(![X]:((~generous(X)&~strong(X))=>(~rich(X)|happy(X))))&
(((~tall(john)&brave(john)))<=>(?[X]:((curious(X)&~tall(X)))))&
(![X]:(tall(X)=>(~quiet(X)<~>humble(X))))&
(![X]:((~patient(X)&old(X))=>(~calm(X)<~>kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~kind(X)|~funny(X)))))&
(((~old(a... | ~strong(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4322008010911502636780051
% SZS output start Proof for 4322008010911502636780051
10. ! [X0] : ((happy(X0) & ~strong(X0)) <=> strong(X0)) [input p9]
22. strong(fred) [input hypothesis]
55. ! [X0] : (((happy(X0) & ~strong(X0)) | ~strong(X0)) & (strong(X0) | (~happy(X0) | strong(X0)))) [nnf ... | 0 |
If mary is both strong and happy then susan is not creative or wise. Everyone who is both strong and not brave is happy and vice versa. If someone is either not strong or funny then someone is not strong or not curious. If someone is curious then someone is wise or not quiet and vice versa. Everyone who is calm or not ... | Paul is kind. | entailment | (((strong(mary)&happy(mary)))=>((~creative(susan)|wise(susan))))&
(![X]:((strong(X)&~brave(X))<=>happy(X)))&
((?[X]:((~strong(X)<~>funny(X))))=>(?[X]:((~strong(X)|~curious(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:((calm(X)|~creative(X))<=>(funny(X)&~happy(X))))&
(![X]:((generous(X)&~tall(X))<... | kind(paul) | [
"p1",
"p4",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2914753141082831234905820
% SZS output start Proof for 2914753141082831234905820
2. ! [X0] : ((~brave(X0) & strong(X0)) <=> happy(X0)) [input p1]
5. ! [X0] : ((~creative(X0) | calm(X0)) <=> (~happy(X0) & funny(X0))) [input p4]
9. ? [X0] : ~kind(X0) <=> ? [X0] : (generous(X0) | ~funny(X0))... | 0 |
If someone is both not rich and not tall then alice is either not wise or curious and vice versa.
Everyone who is both not humble and quiet is not strong and vice versa.
Everyone who is both strong and brave is not old or not calm.
If someone is not patient or not brave then paul is either not creative or not humble.
I... | Fred is not creative. | neutral | ((?[X]:((~rich(X)&~tall(X))))<=>((~wise(alice)<~>curious(alice))))&
(![X]:((~humble(X)&quiet(X))<=>~strong(X)))&
(![X]:((strong(X)&brave(X))=>(~old(X)|~calm(X))))&
((?[X]:((~patient(X)|~brave(X))))=>((~creative(paul)<~>~humble(paul))))&
((?[X]:((brave(X)|~patient(X))))=>(tall(paul)))&
(![X]:((~brave(X)<~>~generous(X))<... | ~creative(fred) | [] | null | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either strong or not creative is either not brave or funny and vice versa. If someone is both brave and funny then alice is funny or not humble and vice versa. Everyone who is not happy or wise is either not calm or not tall and vice versa. If joh... | Lucy is not rich. | contradiction | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((strong(X)<~>~creative(X))<=>(~brave(X)<~>funny(X))))&
((?[X]:((brave(X)&funny(X))))<=>((funny(alice)|~humble(alice))))&
(![X]:((~happy(X)|wise(X))<=>(~calm(X)<~>~tall(X))))&
(((~wise(john)&funny(john)))<=>((~strong(susan)<~>~kind(susan))))&
((?[X]:((generous(X)|~kind(X))... | ~rich(lucy) | [
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 589813738888076443278889
% SZS output start Proof for 589813738888076443278889
12. ! [X0] : ((strong(X0) | patient(X0)) <=> rich(X0)) [input p11]
13. ! [X0] : ((~strong(X0) | creative(X0)) <=> (strong(X0) & ~calm(X0))) [input p12]
24. ~rich(lucy) [input hypothesis]
53. ! [X0] : (((strong(... | 0 |
If john is wise or strong then someone is both brave and not patient.
If alice is both not brave and not patient then someone is either kind or rich.
If someone is not generous then john is not rich or rich and vice versa.
Everyone who is either old or not old is either humble or curious.
Everyone who is either not bra... | Alice is rich. | entailment | (((wise(john)|strong(john)))=>(?[X]:((brave(X)&~patient(X)))))&
(((~brave(alice)&~patient(alice)))=>(?[X]:((kind(X)<~>rich(X)))))&
((?[X]:(~generous(X)))<=>((~rich(john)|rich(john))))&
(![X]:((old(X)<~>~old(X))=>(humble(X)<~>curious(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>(~curious(X)|happy(X))))&
(![X]:(~creative(X... | rich(alice) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5821929324034157404802508
% SZS output start Proof for 5821929324034157404802508
4. ! [X0] : ((old(X0) <~> ~old(X0)) => (humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (happy(X0) | ~curious(X0))) [input p4]
6. ! [X0] : (~creative(X0) <=> (~tall(X0)... | 0 |
Everyone who is generous is both tall and not happy.
Everyone who is both funny and brave is not old and vice versa.
Everyone who is not generous is not happy and vice versa.
If someone is both not brave and not strong then lucy is either not tall or rich and vice versa.
Everyone who is old or not calm is tall or quiet... | Fred is not kind. | contradiction | (![X]:(generous(X)=>(tall(X)&~happy(X))))&
(![X]:((funny(X)&brave(X))<=>~old(X)))&
(![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~... | ~kind(fred) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2109542081339209397206833
% SZS output start Proof for 2109542081339209397206833
1. ! [X0] : (generous(X0) => (~happy(X0) & tall(X0))) [input p0]
2. ! [X0] : ((brave(X0) & funny(X0)) <=> ~old(X0)) [input p1]
3. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p2]
7. ! [X0] : ((calm(X0) <~> ... | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Mary is creative. | contradiction | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | creative(mary) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3700917977518453713918007
% SZS output start Proof for 3700917977518453713918007
2. ! [X0] : (~creative(X0) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p4]
9. ! [X0] : (~... | 0 |
If susan is curious or not curious then someone is not brave. If someone is both not rich and old then someone is not funny and vice versa. If someone is not strong or tall then fred is both not creative and not humble. If mary is not humble then someone is old or not brave and vice versa. If someone is either not rich... | John is curious. | neutral | (((curious(susan)|~curious(susan)))=>(?[X]:(~brave(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~strong(X)|tall(X))))=>((~creative(fred)&~humble(fred))))&
((~humble(mary))<=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((~rich(X)<~>strong(X))))=>((~generous(fred)&curious(fred))))&
(![X]:((~patient(X)&tall... | curious(john) | [] | null | 0 |
If someone is not rich then someone is both not curious and not generous and vice versa. If someone is both not generous and tall then alice is not generous or not old and vice versa. If someone is either brave or not curious then susan is brave or not quiet and vice versa. Everyone who is both not kind and rich is bot... | Paul is not strong. | entailment | ((?[X]:(~rich(X)))<=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((~generous(X)&tall(X))))<=>((~generous(alice)|~old(alice))))&
((?[X]:((brave(X)<~>~curious(X))))<=>((brave(susan)|~quiet(susan))))&
(![X]:((~kind(X)&rich(X))<=>(rich(X)&~wise(X))))&
(![X]:((~kind(X)<~>~curious(X))=>(quiet(X)&~funny(X))))&
((?[X]:((~stro... | ~strong(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 764829197165766878650450
% SZS output start Proof for 764829197165766878650450
12. ! [X0] : ((creative(X0) | strong(X0)) => (~brave(X0) & ~strong(X0))) [input p11]
24. strong(paul) [input hypothesis]
31. ! [X0] : ((~brave(X0) & ~strong(X0)) | (~creative(X0) & ~strong(X0))) [ennf transform... | 0 |
Everyone who is both not quiet and kind is curious and vice versa.
Everyone who is not curious or not happy is either curious or humble and vice versa.
If john is not generous then fred is not old or brave.
Everyone who is wise is not funny and vice versa.
If someone is both rich and not wise then someone is either qui... | Lucy is not tall. | neutral | (![X]:((~quiet(X)&kind(X))<=>curious(X)))&
(![X]:((~curious(X)|~happy(X))<=>(curious(X)<~>humble(X))))&
((~generous(john))=>((~old(fred)|brave(fred))))&
(![X]:(wise(X)<=>~funny(X)))&
((?[X]:((rich(X)&~wise(X))))=>(?[X]:((quiet(X)<~>brave(X)))))&
((?[X]:((old(X)|curious(X))))<=>((~strong(susan)|curious(susan))))&
(![X]:... | ~tall(lucy) | [] | null | 0 |
Everyone who is tall is both not patient and not generous.
If paul is both not old and not curious then susan is not generous and vice versa.
Everyone who is calm or not old is both not kind and not calm and vice versa.
If susan is not generous or not creative then fred is kind or not quiet.
If fred is both not brave a... | Susan is tall. | contradiction | (![X]:(tall(X)=>(~patient(X)&~generous(X))))&
(((~old(paul)&~curious(paul)))<=>(~generous(susan)))&
(![X]:((calm(X)|~old(X))<=>(~kind(X)&~calm(X))))&
(((~generous(susan)|~creative(susan)))=>((kind(fred)|~quiet(fred))))&
(((~brave(fred)&~calm(fred)))=>(?[X]:((~kind(X)&rich(X)))))&
(((~creative(john)<~>~quiet(john)))<=>(... | tall(susan) | [
"p0",
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1956258998730745516708052
% SZS output start Proof for 1956258998730745516708052
1. ! [X0] : (tall(X0) => (~generous(X0) & ~patient(X0))) [input p0]
2. (~curious(paul) & ~old(paul)) <=> ~generous(susan) [input p1]
21. ~creative(paul) & curious(paul) [input p20]
25. tall(susan) [input hypo... | 0 |
Everyone who is not brave or rich is not calm or not rich and vice versa. Everyone who is either not humble or not strong is either not calm or not rich. If mary is both old and generous then paul is not funny or wise. Everyone who is happy is wise and vice versa. Everyone who is either quiet or not generous is not gen... | Paul is strong. | neutral | (![X]:((~brave(X)|rich(X))<=>(~calm(X)|~rich(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(~calm(X)<~>~rich(X))))&
(((old(mary)&generous(mary)))=>((~funny(paul)|wise(paul))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((quiet(X)<~>~generous(X))=>~generous(X)))&
(![X]:((~happy(X)&~curious(X))<=>(~patient(X)<~>~old(X))))&
((~strong... | strong(paul) | [] | null | 0 |
If someone is not rich or not tall then john is creative or rich and vice versa.
If someone is patient then paul is both not funny and old and vice versa.
Everyone who is either not tall or brave is rich or not quiet and vice versa.
If someone is both brave and not happy then alice is both not funny and strong and vice... | Lucy is not wise. | neutral | ((?[X]:((~rich(X)|~tall(X))))<=>((creative(john)|rich(john))))&
((?[X]:(patient(X)))<=>((~funny(paul)&old(paul))))&
(![X]:((~tall(X)<~>brave(X))<=>(rich(X)|~quiet(X))))&
((?[X]:((brave(X)&~happy(X))))<=>((~funny(alice)&strong(alice))))&
(![X]:(creative(X)=>~happy(X)))&
((?[X]:((rich(X)&~brave(X))))<=>(?[X]:((~happy(X)<... | ~wise(lucy) | [] | null | 0 |
If alice is not brave then mary is not strong or not creative and vice versa.
If someone is both not creative and not quiet then someone is curious or not tall.
Everyone who is both not kind and not old is rich or not old and vice versa.
If someone is not happy then someone is both funny and strong and vice versa.
Ever... | Alice is rich. | contradiction | ((~brave(alice))<=>((~strong(mary)|~creative(mary))))&
((?[X]:((~creative(X)&~quiet(X))))=>(?[X]:((curious(X)|~tall(X)))))&
(![X]:((~kind(X)&~old(X))<=>(rich(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((funny(X)&strong(X)))))&
(![X]:((rich(X)&~old(X))=>(~funny(X)<~>brave(X))))&
(![X]:((kind(X)<~>~kind(X))<=>(brave(X)<~... | rich(alice) | [
"p2",
"p4",
"p5",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7831110443922223109605485
% SZS output start Proof for 7831110443922223109605485
3. ! [X0] : ((~old(X0) & ~kind(X0)) <=> (~old(X0) | rich(X0))) [input p2]
5. ! [X0] : ((~old(X0) & rich(X0)) => (~funny(X0) <~> brave(X0))) [input p4]
6. ! [X0] : ((kind(X0) <~> ~kind(X0)) <=> (brave(X0) <~> ... | 0 |
If paul is both wise and not rich then someone is wise and vice versa. Everyone who is both creative and wise is not quiet. If susan is humble or not generous then susan is either not kind or patient and vice versa. Everyone who is both not quiet and not funny is not funny or not tall and vice versa. If someone is funn... | Paul is not wise. | entailment | (((wise(paul)&~rich(paul)))<=>(?[X]:(wise(X))))&
(![X]:((creative(X)&wise(X))=>~quiet(X)))&
(((humble(susan)|~generous(susan)))<=>((~kind(susan)<~>patient(susan))))&
(![X]:((~quiet(X)&~funny(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((funny(X)|~brave(X))))=>(?[X]:(generous(X))))&
(![X]:((strong(X)|~creative(X))<=>(quiet(X)&... | ~wise(paul) | [
"p0",
"p1",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6575902522006056159114486
% SZS output start Proof for 6575902522006056159114486
1. (~rich(paul) & wise(paul)) <=> ? [X0] : wise(X0) [input p0]
2. ! [X0] : ((wise(X0) & creative(X0)) => ~quiet(X0)) [input p1]
6. ! [X0] : ((~creative(X0) | strong(X0)) <=> (~curious(X0) & quiet(X0))) [input... | 0 |
Everyone who is not funny or kind is either humble or not old and vice versa.
Everyone who is not calm or not brave is either happy or not calm.
Everyone who is both strong and tall is either not funny or curious.
Everyone who is funny is both not generous and humble and vice versa.
Everyone who is funny or not old is ... | Paul is brave. | entailment | (![X]:((~funny(X)|kind(X))<=>(humble(X)<~>~old(X))))&
(![X]:((~calm(X)|~brave(X))=>(happy(X)<~>~calm(X))))&
(![X]:((strong(X)&tall(X))=>(~funny(X)<~>curious(X))))&
(![X]:(funny(X)<=>(~generous(X)&humble(X))))&
(![X]:((funny(X)|~old(X))=>(~old(X)<~>~happy(X))))&
(![X]:(~calm(X)<=>(rich(X)&old(X))))&
(![X]:(strong(X)<=>(... | brave(paul) | [
"p1",
"p3",
"p4",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3909429767899503288734839
% SZS output start Proof for 3909429767899503288734839
2. ! [X0] : ((~brave(X0) | ~calm(X0)) => (happy(X0) <~> ~calm(X0))) [input p1]
4. ! [X0] : (funny(X0) <=> (humble(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((~old(X0) | funny(X0)) => (~old(X0) <~> ~happy(X... | 0 |
Everyone who is both curious and quiet is both not patient and not curious.
If someone is not generous or brave then someone is not tall and vice versa.
Everyone who is not curious or not generous is not quiet or calm and vice versa.
Everyone who is kind is not wise or not old and vice versa.
Everyone who is both quiet... | Fred is patient. | contradiction | (![X]:((curious(X)&quiet(X))=>(~patient(X)&~curious(X))))&
((?[X]:((~generous(X)|brave(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~curious(X)|~generous(X))<=>(~quiet(X)|calm(X))))&
(![X]:(kind(X)<=>(~wise(X)|~old(X))))&
(![X]:((quiet(X)&funny(X))<=>(tall(X)<~>funny(X))))&
(![X]:((humble(X)&old(X))=>(tall(X)<~>quiet(X))))&
(![... | patient(fred) | [
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8557774078816752228761065
% SZS output start Proof for 8557774078816752228761065
9. ! [X0] : ((generous(X0) | patient(X0)) => old(X0)) [input p8]
11. ! [X0] : ((~curious(X0) <~> ~generous(X0)) <=> (~curious(X0) <~> ~old(X0))) [input p10]
19. ~generous(fred) & humble(fred) [input p18]
25. ... | 0 |
If alice is either not old or old then someone is not kind or not calm. Everyone who is either brave or not strong is curious and vice versa. If paul is wise then someone is strong or old and vice versa. Everyone who is brave or happy is not kind and vice versa. Everyone who is rich or not calm is not generous. If lucy... | Lucy is not calm. | contradiction | (((~old(alice)<~>old(alice)))=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>curious(X)))&
((wise(paul))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>~kind(X)))&
(![X]:((rich(X)|~calm(X))=>~generous(X)))&
(((~humble(lucy)|~wise(lucy)))<=>((happy(fred)|~wise(fred))))&
(![X]:(patient(X)<... | ~calm(lucy) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4534386225507615409341671
% SZS output start Proof for 4534386225507615409341671
5. ! [X0] : ((~calm(X0) | rich(X0)) => ~generous(X0)) [input p4]
7. ! [X0] : (patient(X0) <=> (~generous(X0) <~> patient(X0))) [input p6]
25. ~calm(lucy) [input hypothesis]
30. ! [X0] : (~generous(X0) | (calm... | 0 |
Everyone who is either brave or not patient is not old and vice versa. If someone is both humble and not humble then someone is humble or not old. If fred is not generous or calm then someone is not quiet or patient. Everyone who is both not funny and not brave is not generous or old. If fred is both not curious and ge... | Susan is old. | entailment | (![X]:((brave(X)<~>~patient(X))<=>~old(X)))&
((?[X]:((humble(X)&~humble(X))))=>(?[X]:((humble(X)|~old(X)))))&
(((~generous(fred)|calm(fred)))=>(?[X]:((~quiet(X)|patient(X)))))&
(![X]:((~funny(X)&~brave(X))=>(~generous(X)|old(X))))&
(((~curious(fred)&generous(fred)))<=>(?[X]:(curious(X))))&
(((~wise(fred)<~>~strong(fred... | old(susan) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1034748909547656736773649
% SZS output start Proof for 1034748909547656736773649
1. ! [X0] : ((brave(X0) <~> ~patient(X0)) <=> ~old(X0)) [input p0]
17. patient(susan) & ~brave(susan) [input p16]
24. ~old(susan) [input hypothesis]
39. ! [X0] : ((((patient(X0) | ~brave(X0)) & (~patient(X0) ... | 0 |
Everyone who is both brave and not calm is kind or tall and vice versa.
Everyone who is curious or not kind is creative.
Everyone who is either curious or kind is not calm.
If mary is either humble or not funny then someone is either old or happy and vice versa.
If someone is both strong and rich then susan is both not... | Paul is not kind. | entailment | (![X]:((brave(X)&~calm(X))<=>(kind(X)|tall(X))))&
(![X]:((curious(X)|~kind(X))=>creative(X)))&
(![X]:((curious(X)<~>kind(X))=>~calm(X)))&
(((humble(mary)<~>~funny(mary)))<=>(?[X]:((old(X)<~>happy(X)))))&
((?[X]:((strong(X)&rich(X))))=>((~rich(susan)&~tall(susan))))&
(![X]:((kind(X)|happy(X))<=>~brave(X)))&
((humble(ali... | ~kind(paul) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9009822765813848331964434
% SZS output start Proof for 9009822765813848331964434
1. ! [X0] : ((~calm(X0) & brave(X0)) <=> (tall(X0) | kind(X0))) [input p0]
6. ! [X0] : ((happy(X0) | kind(X0)) <=> ~brave(X0)) [input p5]
22. kind(paul) [input hypothesis]
38. ! [X0] : (((~calm(X0) & brave(X0... | 0 |
If alice is not tall then someone is funny and vice versa. If someone is strong or not wise then someone is either not tall or not calm and vice versa. If alice is both kind and calm then paul is either curious or kind and vice versa. If someone is either patient or not old then mary is not kind. If someone is not funn... | Susan is humble. | contradiction | ((~tall(alice))<=>(?[X]:(funny(X))))&
((?[X]:((strong(X)|~wise(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((kind(alice)&calm(alice)))<=>((curious(paul)<~>kind(paul))))&
((?[X]:((patient(X)<~>~old(X))))=>(~kind(mary)))&
((?[X]:((~funny(X)|~wise(X))))=>(?[X]:((old(X)&~old(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(patient(X))))&... | humble(susan) | [
"p4",
"p5",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 218631112819695190970666
% SZS output start Proof for 218631112819695190970666
5. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p4]
6. ? [X0] : ~quiet(X0) => ? [X0] : patient(X0) [input p5]
9. ! [X0] : (old(X0) => ~quiet(X0)) [input p8]
12. ! [X0] : (patient(X0... | 0 |
Everyone who is not strong is not happy or not patient and vice versa. If someone is tall or brave then someone is both tall and not tall and vice versa. Everyone who is either not generous or kind is both curious and not funny. If paul is creative or humble then someone is either not calm or brave and vice versa. Ever... | Susan is not strong. | entailment | (![X]:(~strong(X)<=>(~happy(X)|~patient(X))))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:((tall(X)&~tall(X)))))&
(![X]:((~generous(X)<~>kind(X))=>(curious(X)&~funny(X))))&
(((creative(paul)|humble(paul)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~creative(X)|kind(X))<=>(~strong(X)<~>curious(X))))&
((strong(susan))<=>((~wi... | ~strong(susan) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3527008918081422444481455
% SZS output start Proof for 3527008918081422444481455
1. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~strong(X0) <~> curious(X0))) [input p4]
6. strong(susan) <=> (happy(lucy) & ~wise(lucy)) [inp... | 0 |
Everyone who is either not quiet or kind is not brave or curious.
If fred is quiet or tall then someone is either brave or not tall and vice versa.
If alice is both not calm and kind then someone is both not patient and not generous.
Everyone who is not quiet is either patient or generous and vice versa.
Everyone who i... | Mary is quiet. | contradiction | (![X]:((~quiet(X)<~>kind(X))=>(~brave(X)|curious(X))))&
(((quiet(fred)|tall(fred)))<=>(?[X]:((brave(X)<~>~tall(X)))))&
(((~calm(alice)&kind(alice)))=>(?[X]:((~patient(X)&~generous(X)))))&
(![X]:(~quiet(X)<=>(patient(X)<~>generous(X))))&
(![X]:((~happy(X)<~>~quiet(X))<=>(~curious(X)&calm(X))))&
(![X]:((creative(X)&calm(... | quiet(mary) | [
"p4",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4135701427821152017767534
% SZS output start Proof for 4135701427821152017767534
5. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> (calm(X0) & ~curious(X0))) [input p4]
11. ! [X0] : ((~strong(X0) | ~curious(X0)) <=> ~quiet(X0)) [input p10]
12. (humble(mary) & generous(mary)) <=> ? [X0] : (calm... | 0 |
Everyone who is creative is both brave and wise and vice versa. If someone is calm then someone is either not humble or creative. If paul is both patient and not funny then someone is old or not old and vice versa. If john is not creative or not brave then someone is not patient. Everyone who is both happy and not brav... | Paul is quiet. | contradiction | (![X]:(creative(X)<=>(brave(X)&wise(X))))&
((?[X]:(calm(X)))=>(?[X]:((~humble(X)<~>creative(X)))))&
(((patient(paul)&~funny(paul)))<=>(?[X]:((old(X)|~old(X)))))&
(((~creative(john)|~brave(john)))=>(?[X]:(~patient(X))))&
(![X]:((happy(X)&~brave(X))=>(~rich(X)<~>~quiet(X))))&
(![X]:((wise(X)|~funny(X))<=>(~kind(X)&curiou... | quiet(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4922869372459929211738878
% SZS output start Proof for 4922869372459929211738878
16. (happy(paul) | quiet(paul)) => ~quiet(paul) [input p15]
25. quiet(paul) [input hypothesis]
35. ~quiet(paul) | (~happy(paul) & ~quiet(paul)) [ennf transformation 16]
134. ~quiet(paul) | ~quiet(paul) [cnf t... | 0 |
If susan is either tall or not curious then susan is not happy or kind.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone who is not rich... | Lucy is rich. | neutral | (((tall(susan)<~>~curious(susan)))=>((~happy(susan)|kind(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
... | rich(lucy) | [] | null | 0 |
Everyone who is not brave is curious and vice versa. If susan is both happy and not patient then someone is not kind or not rich and vice versa. If alice is not humble or brave then someone is either not creative or patient and vice versa. Everyone who is not generous is either generous or happy. Everyone who is both n... | Susan is not old. | contradiction | (![X]:(~brave(X)<=>curious(X)))&
(((happy(susan)&~patient(susan)))<=>(?[X]:((~kind(X)|~rich(X)))))&
(((~humble(alice)|brave(alice)))<=>(?[X]:((~creative(X)<~>patient(X)))))&
(![X]:(~generous(X)=>(generous(X)<~>happy(X))))&
(![X]:((~rich(X)&calm(X))=>(old(X)&~tall(X))))&
(![X]:((rich(X)|~happy(X))<=>(~old(X)&~strong(X))... | ~old(susan) | [
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3263147386747299971148121
% SZS output start Proof for 3263147386747299971148121
6. ! [X0] : ((~happy(X0) | rich(X0)) <=> (~strong(X0) & ~old(X0))) [input p5]
9. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> (~humble(X0) | humble(X0))) [input p8]
15. ! [X0] : ((strong(X0) | ~happy(X0)) <=> old(X... | 0 |
Everyone who is either quiet or brave is not tall and vice versa.
Everyone who is either brave or not humble is funny.
Everyone who is not patient or kind is generous.
If fred is either not funny or patient then fred is both not creative and tall and vice versa.
If john is creative then someone is both not curious and ... | Susan is not wise. | neutral | (![X]:((quiet(X)<~>brave(X))<=>~tall(X)))&
(![X]:((brave(X)<~>~humble(X))=>funny(X)))&
(![X]:((~patient(X)|kind(X))=>generous(X)))&
(((~funny(fred)<~>patient(fred)))<=>((~creative(fred)&tall(fred))))&
((creative(john))=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((old(X)<~>wise(X))<=>(~funny(X)&~brave(X))))&
((~tall(john))... | ~wise(susan) | [] | null | 0 |
Everyone who is kind or creative is humble.
Everyone who is wise is rich or not curious.
Everyone who is not humble or humble is both not humble and not creative.
Everyone who is not funny is not old or not rich and vice versa.
If someone is both rich and tall then paul is either old or patient.
If susan is either brav... | Paul is not old. | entailment | (![X]:((kind(X)|creative(X))=>humble(X)))&
(![X]:(wise(X)=>(rich(X)|~curious(X))))&
(![X]:((~humble(X)|humble(X))=>(~humble(X)&~creative(X))))&
(![X]:(~funny(X)<=>(~old(X)|~rich(X))))&
((?[X]:((rich(X)&tall(X))))=>((old(paul)<~>patient(paul))))&
(((brave(susan)<~>~funny(susan)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(... | ~old(paul) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3912926365211122942294483
% SZS output start Proof for 3912926365211122942294483
1. ! [X0] : ((creative(X0) | kind(X0)) => humble(X0)) [input p0]
3. ! [X0] : ((humble(X0) | ~humble(X0)) => (~creative(X0) & ~humble(X0))) [input p2]
4. ! [X0] : (~funny(X0) <=> (~rich(X0) | ~old(X0))) [input... | 0 |
Everyone who is humble or not old is both rich and curious and vice versa. If mary is not quiet then fred is generous and vice versa. Everyone who is happy or not kind is quiet or creative. If john is both generous and not happy then someone is either strong or humble and vice versa. If mary is not happy then lucy is b... | Alice is not happy. | neutral | (![X]:((humble(X)|~old(X))<=>(rich(X)&curious(X))))&
((~quiet(mary))<=>(generous(fred)))&
(![X]:((happy(X)|~kind(X))=>(quiet(X)|creative(X))))&
(((generous(john)&~happy(john)))<=>(?[X]:((strong(X)<~>humble(X)))))&
((~happy(mary))<=>((~funny(lucy)&patient(lucy))))&
(![X]:((funny(X)&~wise(X))=>(generous(X)&~rich(X))))&
(... | ~happy(alice) | [] | null | 0 |
Everyone who is either quiet or not strong is not curious and vice versa.
Everyone who is not calm or not creative is quiet and vice versa.
Everyone who is not curious or kind is both old and calm and vice versa.
Everyone who is not patient or not humble is not creative or not tall and vice versa.
Everyone who is eithe... | Susan is patient. | contradiction | (![X]:((quiet(X)<~>~strong(X))<=>~curious(X)))&
(![X]:((~calm(X)|~creative(X))<=>quiet(X)))&
(![X]:((~curious(X)|kind(X))<=>(old(X)&calm(X))))&
(![X]:((~patient(X)|~humble(X))<=>(~creative(X)|~tall(X))))&
(![X]:((quiet(X)<~>funny(X))=>(rich(X)|kind(X))))&
(((~old(john)<~>~calm(john)))<=>((~patient(alice)&~strong(alice)... | patient(susan) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8132095039770899012686267
% SZS output start Proof for 8132095039770899012686267
1. ! [X0] : ((quiet(X0) <~> ~strong(X0)) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : ((kind(X0) | ~curious(X0)) <=> (calm(X0) & old(X0))) [input... | 0 |
If mary is funny then lucy is both not happy and patient and vice versa. If someone is humble or quiet then mary is not happy and vice versa. If someone is both not generous and patient then someone is both not brave and tall and vice versa. Everyone who is both not generous and funny is generous and vice versa. Everyo... | Mary is not generous. | entailment | ((funny(mary))<=>((~happy(lucy)&patient(lucy))))&
((?[X]:((humble(X)|quiet(X))))<=>(~happy(mary)))&
((?[X]:((~generous(X)&patient(X))))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((~generous(X)&funny(X))<=>generous(X)))&
(![X]:((kind(X)<~>~patient(X))<=>(funny(X)|~kind(X))))&
((brave(susan))=>(?[X]:((patient(X)|funny(X))))... | ~generous(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6479036512849674487243585
% SZS output start Proof for 6479036512849674487243585
4. ! [X0] : ((funny(X0) & ~generous(X0)) <=> generous(X0)) [input p3]
22. generous(mary) [input hypothesis]
42. ! [X0] : (((funny(X0) & ~generous(X0)) | ~generous(X0)) & (generous(X0) | (~funny(X0) | generous... | 0 |
If someone is both not curious and not rich then someone is either not rich or not humble and vice versa.
Everyone who is either not creative or kind is not patient.
Everyone who is not happy is both not wise and not old.
If fred is humble then someone is either not humble or not tall.
If someone is both not quiet and ... | Susan is not kind. | contradiction | ((?[X]:((~curious(X)&~rich(X))))<=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((~creative(X)<~>kind(X))=>~patient(X)))&
(![X]:(~happy(X)=>(~wise(X)&~old(X))))&
((humble(fred))=>(?[X]:((~humble(X)<~>~tall(X)))))&
((?[X]:((~quiet(X)&tall(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~tall(X)|creative(X))))&
(![X]:((~q... | ~kind(susan) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3390354038434324964739761
% SZS output start Proof for 3390354038434324964739761
5. ? [X0] : (tall(X0) & ~quiet(X0)) <=> ? [X0] : quiet(X0) [input p4]
6. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~quiet(X0)) => (calm(X0) & ~quiet(X0))) [in... | 0 |
Everyone who is not patient or wise is brave and vice versa.
If someone is either quiet or wise then someone is either not creative or not happy.
If lucy is both not curious and not creative then susan is either old or tall and vice versa.
If someone is kind or calm then susan is not brave or funny.
Everyone who is not... | Lucy is quiet. | neutral | (![X]:((~patient(X)|wise(X))<=>brave(X)))&
((?[X]:((quiet(X)<~>wise(X))))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(((~curious(lucy)&~creative(lucy)))<=>((old(susan)<~>tall(susan))))&
((?[X]:((kind(X)|calm(X))))=>((~brave(susan)|funny(susan))))&
(![X]:((~humble(X)|humble(X))<=>(~tall(X)<~>kind(X))))&
(![X]:(brave(X)<=>(r... | quiet(lucy) | [] | null | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Paul is not kind. | entailment | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | ~kind(paul) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2475146719670452227281307
% SZS output start Proof for 2475146719670452227281307
5. ? [X0] : (kind(X0) | ~generous(X0)) <=> (~brave(paul) <~> ~generous(paul)) [input p4]
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
8. ! [X0] : ((wise(X0) & ~happy(X0)) <=> old(X0)) [in... | 0 |
Everyone who is both not calm and not kind is quiet and vice versa.
Everyone who is either not strong or humble is both not funny and not strong.
If someone is not humble then mary is both not happy and curious and vice versa.
Everyone who is both not creative and quiet is not happy and vice versa.
If paul is old or br... | Mary is creative. | neutral | (![X]:((~calm(X)&~kind(X))<=>quiet(X)))&
(![X]:((~strong(X)<~>humble(X))=>(~funny(X)&~strong(X))))&
((?[X]:(~humble(X)))<=>((~happy(mary)&curious(mary))))&
(![X]:((~creative(X)&quiet(X))<=>~happy(X)))&
(((old(paul)|brave(paul)))=>(curious(susan)))&
(![X]:((brave(X)<~>~funny(X))<=>(old(X)&creative(X))))&
(![X]:(rich(X)<... | creative(mary) | [] | null | 0 |
If susan is not tall or brave then john is patient or not curious.
If john is humble or not curious then fred is both not generous and not tall and vice versa.
Everyone who is either wise or not generous is not creative or not happy.
Everyone who is calm or old is both not brave and happy and vice versa.
If fred is eit... | Lucy is not old. | neutral | (((~tall(susan)|brave(susan)))=>((patient(john)|~curious(john))))&
(((humble(john)|~curious(john)))<=>((~generous(fred)&~tall(fred))))&
(![X]:((wise(X)<~>~generous(X))=>(~creative(X)|~happy(X))))&
(![X]:((calm(X)|old(X))<=>(~brave(X)&happy(X))))&
(((rich(fred)<~>~strong(fred)))=>(?[X]:((patient(X)|creative(X)))))&
((?[... | ~old(lucy) | [] | null | 0 |
Everyone who is creative or not rich is either humble or calm and vice versa.
If someone is funny or tall then alice is kind and vice versa.
If mary is creative then mary is both wise and not humble and vice versa.
If someone is not tall or generous then susan is not tall and vice versa.
Everyone who is happy is not ha... | Lucy is patient. | neutral | (![X]:((creative(X)|~rich(X))<=>(humble(X)<~>calm(X))))&
((?[X]:((funny(X)|tall(X))))<=>(kind(alice)))&
((creative(mary))<=>((wise(mary)&~humble(mary))))&
((?[X]:((~tall(X)|generous(X))))<=>(~tall(susan)))&
(![X]:(happy(X)=>(~happy(X)|old(X))))&
(![X]:(~creative(X)<=>tall(X)))&
(![X]:((~patient(X)<~>~brave(X))=>(~kind(... | patient(lucy) | [] | null | 0 |
Everyone who is either not quiet or creative is either humble or not wise.
If paul is not rich then alice is generous or not wise.
If someone is either not calm or strong then susan is wise and vice versa.
Everyone who is not tall is either generous or creative.
Everyone who is not curious or not generous is both not k... | Lucy is happy. | contradiction | (![X]:((~quiet(X)<~>creative(X))=>(humble(X)<~>~wise(X))))&
((~rich(paul))=>((generous(alice)|~wise(alice))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(wise(susan)))&
(![X]:(~tall(X)=>(generous(X)<~>creative(X))))&
(![X]:((~curious(X)|~generous(X))<=>(~kind(X)&wise(X))))&
((happy(lucy))=>(?[X]:((wise(X)<~>~strong(X)))))&
(!... | happy(lucy) | [
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3966039567564385230375288
% SZS output start Proof for 3966039567564385230375288
7. ! [X0] : (creative(X0) <=> (humble(X0) & ~tall(X0))) [input p6]
10. ! [X0] : ((~humble(X0) | ~creative(X0)) <=> (~old(X0) & ~tall(X0))) [input p9]
13. ! [X0] : (happy(X0) <=> (~humble(X0) <~> ~creative(X0)... | 0 |
If paul is not tall then susan is quiet or creative.
Everyone who is both generous and not brave is either calm or not old.
If someone is not old or not generous then someone is happy.
If alice is both not kind and curious then someone is both patient and not quiet.
If lucy is creative or not strong then susan is both ... | Lucy is not happy. | contradiction | ((~tall(paul))=>((quiet(susan)|creative(susan))))&
(![X]:((generous(X)&~brave(X))=>(calm(X)<~>~old(X))))&
((?[X]:((~old(X)|~generous(X))))=>(?[X]:(happy(X))))&
(((~kind(alice)&curious(alice)))=>(?[X]:((patient(X)&~quiet(X)))))&
(((creative(lucy)|~strong(lucy)))=>((happy(susan)&brave(susan))))&
(![X]:((generous(X)|curio... | ~happy(lucy) | [
"p5",
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8085655145014365532451564
% SZS output start Proof for 8085655145014365532451564
6. ! [X0] : ((curious(X0) | generous(X0)) <=> (~patient(X0) | ~humble(X0))) [input p5]
8. ! [X0] : ((creative(X0) & ~funny(X0)) <=> generous(X0)) [input p7]
10. ? [X0] : (brave(X0) & ~brave(X0)) <=> ? [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... | Susan is not creative. | contradiction | (![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))))&
((?... | ~creative(susan) | [
"p4",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6073241329512595916416708
% SZS output start Proof for 6073241329512595916416708
5. ! [X0] : ((calm(X0) | ~humble(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((generous(X0) | brave(X0)) <=> (~brave(X0) & kind(X0))) [input p5]
7. ? [X0] : (~creative(X0) | ~old(X0)) <=> ? [X0] : (patient(X0) ... | 0 |
Everyone who is patient or not quiet is kind.
If susan is quiet or happy then john is either not old or funny and vice versa.
Everyone who is strong or old is either not humble or patient and vice versa.
Everyone who is either brave or not generous is calm or not wise.
If someone is not funny or wise then lucy is quiet... | John is not strong. | entailment | (![X]:((patient(X)|~quiet(X))=>kind(X)))&
(((quiet(susan)|happy(susan)))<=>((~old(john)<~>funny(john))))&
(![X]:((strong(X)|old(X))<=>(~humble(X)<~>patient(X))))&
(![X]:((brave(X)<~>~generous(X))=>(calm(X)|~wise(X))))&
((?[X]:((~funny(X)|wise(X))))=>((quiet(lucy)|~funny(lucy))))&
(![X]:(brave(X)<=>(~quiet(X)|~calm(X)))... | ~strong(john) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7289011363068067257537744
% SZS output start Proof for 7289011363068067257537744
9. ! [X0] : ((~old(X0) | funny(X0)) <=> (~strong(X0) & wise(X0))) [input p8]
10. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> (~tall(X0) <~> tall(X0))) [input p9]
25. strong(john) [input hypothesis]
57. ! [X0] :... | 0 |
Everyone who is both not wise and not tall is old or rich and vice versa. If fred is both curious and funny then alice is not wise. If someone is either not patient or strong then john is both not calm and strong. Everyone who is either not humble or funny is both not old and curious. If alice is either strong or quiet... | Lucy is not tall. | contradiction | (![X]:((~wise(X)&~tall(X))<=>(old(X)|rich(X))))&
(((curious(fred)&funny(fred)))=>(~wise(alice)))&
((?[X]:((~patient(X)<~>strong(X))))=>((~calm(john)&strong(john))))&
(![X]:((~humble(X)<~>funny(X))=>(~old(X)&curious(X))))&
(((strong(alice)<~>quiet(alice)))<=>(?[X]:((happy(X)|~happy(X)))))&
(![X]:((kind(X)|~kind(X))<=>(~... | ~tall(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3428742335929850320513
% SZS output start Proof for 3428742335929850320513
1. ! [X0] : ((~tall(X0) & ~wise(X0)) <=> (rich(X0) | old(X0))) [input p0]
4. ! [X0] : ((~humble(X0) <~> funny(X0)) => (curious(X0) & ~old(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | kind(X0)) <=> (patient(X0) & ~qui... | 0 |
If someone is both humble and not rich then paul is both strong and patient and vice versa.
If alice is kind or generous then john is strong or not curious.
Everyone who is funny is both not happy and patient.
Everyone who is not humble or calm is both rich and not curious.
Everyone who is not old is both not tall and ... | Mary is creative. | entailment | ((?[X]:((humble(X)&~rich(X))))<=>((strong(paul)&patient(paul))))&
(((kind(alice)|generous(alice)))=>((strong(john)|~curious(john))))&
(![X]:(funny(X)=>(~happy(X)&patient(X))))&
(![X]:((~humble(X)|calm(X))=>(rich(X)&~curious(X))))&
(![X]:(~old(X)=>(~tall(X)&~old(X))))&
(![X]:((creative(X)<~>patient(X))<=>(~funny(X)<~>fu... | creative(mary) | [
"p0",
"p2",
"p3",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3298417675331329567146787
% SZS output start Proof for 3298417675331329567146787
1. ? [X0] : (~rich(X0) & humble(X0)) <=> (patient(paul) & strong(paul)) [input p0]
3. ! [X0] : (funny(X0) => (patient(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((calm(X0) | ~humble(X0)) => (~curious(X0) & ric... | 0 |
Everyone who is either patient or not patient is either not tall or not brave. If someone is tall then fred is either not tall or brave. Everyone who is both not strong and funny is either not kind or not wise and vice versa. If mary is not funny or brave then paul is not curious and vice versa. Everyone who is kind is... | Mary is not funny. | neutral | (![X]:((patient(X)<~>~patient(X))=>(~tall(X)<~>~brave(X))))&
((?[X]:(tall(X)))=>((~tall(fred)<~>brave(fred))))&
(![X]:((~strong(X)&funny(X))<=>(~kind(X)<~>~wise(X))))&
(((~funny(mary)|brave(mary)))<=>(~curious(paul)))&
(![X]:(kind(X)=>~patient(X)))&
(![X]:((brave(X)|~generous(X))=>(~humble(X)&kind(X))))&
((creative(luc... | ~funny(mary) | [] | null | 0 |
Everyone who is happy or not calm is both kind and not happy and vice versa.
Everyone who is either not curious or not generous is not humble and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is both not wise and not brave is brave and vice versa.
Everyone who is both... | Lucy is not humble. | entailment | (![X]:((happy(X)|~calm(X))<=>(kind(X)&~happy(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>~humble(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creative(lucy)))<=>(?[X]:((tall(X)|brave(X)))))&
(![X]:(... | ~humble(lucy) | [
"p2",
"p3",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8181671054753195746609754
% SZS output start Proof for 8181671054753195746609754
3. ! [X0] : (~creative(X0) <=> (strong(X0) <~> patient(X0))) [input p2]
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p3]
8. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))) [in... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both not curious and not happy is either patient or generous.
If someone is either brave or not brave then fred is either not patient or rich and vice versa.
If su... | Lucy is not calm. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((~curious(X)&~happy(X))=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fred))))&
(((~brave(susan)<~>~wise(susan)))=>((~humble(john)&humble(john))))&
(![X]:((old(X)&calm(X))... | ~calm(lucy) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3043454476743275427489398
% SZS output start Proof for 3043454476743275427489398
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
5. (~brave(susan) <~> ~wise(susan)) => (humble(john) & ~humble(john)) [input p4]
12. ? [X0] : ~calm(X0) <=> (~patient(susan) & ~br... | 0 |
If lucy is not tall then lucy is either not humble or calm and vice versa.
Everyone who is patient is not creative or not patient and vice versa.
Everyone who is either not happy or kind is kind and vice versa.
If someone is either happy or not old then someone is either not old or not brave and vice versa.
Everyone wh... | Susan is not calm. | entailment | ((~tall(lucy))<=>((~humble(lucy)<~>calm(lucy))))&
(![X]:(patient(X)<=>(~creative(X)|~patient(X))))&
(![X]:((~happy(X)<~>kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X... | ~calm(susan) | [
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8538314779830174244548024
% SZS output start Proof for 8538314779830174244548024
3. ! [X0] : ((~happy(X0) <~> kind(X0)) <=> kind(X0)) [input p2]
9. ? [X0] : (~happy(X0) & ~funny(X0)) <=> ? [X0] : (quiet(X0) | ~curious(X0)) [input p8]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> ~quiet(X0)) ... | 0 |
If paul is both not funny and kind then susan is both curious and not generous. Everyone who is either not kind or calm is either happy or quiet and vice versa. If paul is not generous then john is not quiet or wise and vice versa. If fred is tall or happy then someone is brave and vice versa. If someone is kind then m... | Alice is not creative. | contradiction | (((~funny(paul)&kind(paul)))=>((curious(susan)&~generous(susan))))&
(![X]:((~kind(X)<~>calm(X))<=>(happy(X)<~>quiet(X))))&
((~generous(paul))<=>((~quiet(john)|wise(john))))&
(((tall(fred)|happy(fred)))<=>(?[X]:(brave(X))))&
((?[X]:(kind(X)))=>((~tall(mary)|quiet(mary))))&
(![X]:(~creative(X)=>(quiet(X)&~kind(X))))&
(![... | ~creative(alice) | [
"p1",
"p5",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4652657018155539106229163
% SZS output start Proof for 4652657018155539106229163
2. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (happy(X0) <~> quiet(X0))) [input p1]
6. ! [X0] : (~creative(X0) => (~kind(X0) & quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(... | 0 |
Everyone who is not generous is either not funny or rich.
If john is not humble or quiet then someone is not happy and vice versa.
If john is rich then fred is not tall or curious.
Everyone who is either curious or not quiet is both not kind and calm and vice versa.
Everyone who is quiet or not generous is both generou... | Alice is not funny. | entailment | (![X]:(~generous(X)=>(~funny(X)<~>rich(X))))&
(((~humble(john)|quiet(john)))<=>(?[X]:(~happy(X))))&
((rich(john))=>((~tall(fred)|curious(fred))))&
(![X]:((curious(X)<~>~quiet(X))<=>(~kind(X)&calm(X))))&
(![X]:((quiet(X)|~generous(X))<=>(generous(X)&calm(X))))&
(![X]:((curious(X)&wise(X))<=>(~rich(X)|curious(X))))&
(![X... | ~funny(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1913754544559831570355584
% SZS output start Proof for 1913754544559831570355584
15. ! [X0] : ((~funny(X0) & brave(X0)) <=> (~curious(X0) | curious(X0))) [input p14]
25. funny(alice) [input hypothesis]
63. ! [X0] : (((~funny(X0) & brave(X0)) | (curious(X0) & ~curious(X0))) & ((~curious(X0... | 0 |
Everyone who is either tall or strong is not generous and vice versa.
If someone is either not curious or old then someone is both not old and generous and vice versa.
If someone is both generous and not curious then someone is not funny and vice versa.
If john is creative or rich then someone is not strong.
If someone... | John is not funny. | entailment | (![X]:((tall(X)<~>strong(X))<=>~generous(X)))&
((?[X]:((~curious(X)<~>old(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((?[X]:((generous(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(((creative(john)|rich(john)))=>(?[X]:(~strong(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:((~happy(X)&rich(X)))))&
(![X]:((~patient(X)<~>~brave(X... | ~funny(john) | [
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7633113940625710792229488
% SZS output start Proof for 7633113940625710792229488
9. ! [X0] : ((~strong(X0) <~> quiet(X0)) => (~rich(X0) & ~kind(X0))) [input p8]
11. ! [X0] : ((kind(X0) & strong(X0)) <=> (quiet(X0) | ~calm(X0))) [input p10]
15. ! [X0] : ((~generous(X0) | ~quiet(X0)) => (ha... | 0 |
If john is both not curious and quiet then someone is quiet.
Everyone who is both not strong and funny is both generous and not creative.
If someone is either not calm or not generous then someone is generous.
If alice is either not old or kind then susan is either not creative or not calm and vice versa.
Everyone who ... | Fred is creative. | contradiction | (((~curious(john)&quiet(john)))=>(?[X]:(quiet(X))))&
(![X]:((~strong(X)&funny(X))=>(generous(X)&~creative(X))))&
((?[X]:((~calm(X)<~>~generous(X))))=>(?[X]:(generous(X))))&
(((~old(alice)<~>kind(alice)))<=>((~creative(susan)<~>~calm(susan))))&
(![X]:(strong(X)=>(~wise(X)&humble(X))))&
(![X]:((~patient(X)|creative(X))<=... | creative(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 886547686128471185797875
% SZS output start Proof for 886547686128471185797875
6. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~brave(X0) & brave(X0))) [input p5]
25. creative(fred) [input hypothesis]
48. ! [X0] : (((creative(X0) | ~patient(X0)) | (brave(X0) | ~brave(X0))) & ((~brave(X0) ... | 0 |
Everyone who is both quiet and not creative is strong.
If someone is old then someone is not generous or calm.
Everyone who is not humble or not funny is old or rich and vice versa.
Everyone who is generous or quiet is both quiet and creative.
If paul is either not humble or not rich then someone is creative and vice v... | Lucy is humble. | contradiction | (![X]:((quiet(X)&~creative(X))=>strong(X)))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funny(X))<=>(old(X)|rich(X))))&
(![X]:((generous(X)|quiet(X))=>(quiet(X)&creative(X))))&
(((~humble(paul)<~>~rich(paul)))<=>(?[X]:(creative(X))))&
(((~creative(paul)|funny(paul)))=>(?[X]:(~quiet(X))))&
(... | humble(lucy) | [
"p3",
"p9",
"p10",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2229827963760879234989833
% SZS output start Proof for 2229827963760879234989833
4. ! [X0] : ((quiet(X0) | generous(X0)) => (creative(X0) & quiet(X0))) [input p3]
10. ! [X0] : ((~patient(X0) | ~tall(X0)) => rich(X0)) [input p9]
11. ! [X0] : ((funny(X0) <~> ~rich(X0)) <=> (generous(X0) & q... | 0 |
If someone is both kind and old then someone is not quiet. Everyone who is either calm or not creative is not calm or brave. If someone is either happy or not funny then someone is both brave and not brave and vice versa. Everyone who is not kind is not patient. If john is either generous or old then someone is not fun... | Alice is curious. | neutral | ((?[X]:((kind(X)&old(X))))=>(?[X]:(~quiet(X))))&
(![X]:((calm(X)<~>~creative(X))=>(~calm(X)|brave(X))))&
((?[X]:((happy(X)<~>~funny(X))))<=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:(~kind(X)=>~patient(X)))&
(((generous(john)<~>old(john)))=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)&curious(X))=>(wise(X)&funny(X))))&
(![X]:(... | curious(alice) | [] | null | 0 |
If mary is both kind and quiet then alice is happy.
If someone is not old or funny then susan is tall and vice versa.
Everyone who is not generous is not tall or curious and vice versa.
If someone is quiet then someone is generous.
Everyone who is not happy or patient is either kind or old and vice versa.
Everyone who ... | Alice is not kind. | contradiction | (((kind(mary)&quiet(mary)))=>(happy(alice)))&
((?[X]:((~old(X)|funny(X))))<=>(tall(susan)))&
(![X]:(~generous(X)<=>(~tall(X)|curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)|patient(X))<=>(kind(X)<~>old(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)&~kind(X))))&
(((~old(fred)|curious(fred)))... | ~kind(alice) | [
"p2",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2499739351251700271358149
% SZS output start Proof for 2499739351251700271358149
3. ! [X0] : (~generous(X0) <=> (curious(X0) | ~tall(X0))) [input p2]
8. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~patient(fred) & patient(fred)) [input p7]
9. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (~hum... | 0 |
If mary is brave then someone is not old and vice versa. Everyone who is both not curious and generous is either calm or not humble and vice versa. If someone is either not happy or not generous then fred is calm or not tall and vice versa. If someone is both happy and creative then alice is both not old and kind. Ever... | Paul is happy. | contradiction | ((brave(mary))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&generous(X))<=>(calm(X)<~>~humble(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((calm(fred)|~tall(fred))))&
((?[X]:((happy(X)&creative(X))))=>((~old(alice)&kind(alice))))&
(![X]:(~happy(X)=>(brave(X)|~calm(X))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>(?[X]:(~old(X)... | happy(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7976348289864488525196050
% SZS output start Proof for 7976348289864488525196050
19. kind(paul) & ~happy(paul) [input p18]
24. happy(paul) [input hypothesis]
143. ~happy(paul) [cnf transformation 19]
150. happy(paul) [cnf transformation 24]
312. $false [subsumption resolution 150,143]
% S... | 0 |
Everyone who is not tall or not generous is either not happy or patient. Everyone who is creative is both rich and not funny. If alice is not funny or not rich then mary is either kind or happy and vice versa. If someone is generous or not brave then someone is either quiet or not generous. Everyone who is strong or no... | Paul is not patient. | neutral | (![X]:((~tall(X)|~generous(X))=>(~happy(X)<~>patient(X))))&
(![X]:(creative(X)=>(rich(X)&~funny(X))))&
(((~funny(alice)|~rich(alice)))<=>((kind(mary)<~>happy(mary))))&
((?[X]:((generous(X)|~brave(X))))=>(?[X]:((quiet(X)<~>~generous(X)))))&
(![X]:((strong(X)|~calm(X))<=>(~brave(X)|~quiet(X))))&
((?[X]:(strong(X)))<=>((~... | ~patient(paul) | [] | null | 0 |
If john is not funny then someone is not patient or rich.
If susan is both not patient and not curious then susan is not quiet and vice versa.
Everyone who is either not brave or not old is both tall and not brave.
If someone is either creative or not calm then someone is both not funny and not wise.
If alice is both t... | Alice is tall. | contradiction | ((~funny(john))=>(?[X]:((~patient(X)|rich(X)))))&
(((~patient(susan)&~curious(susan)))<=>(~quiet(susan)))&
(![X]:((~brave(X)<~>~old(X))=>(tall(X)&~brave(X))))&
((?[X]:((creative(X)<~>~calm(X))))=>(?[X]:((~funny(X)&~wise(X)))))&
(((tall(alice)&~kind(alice)))=>((patient(alice)<~>~generous(alice))))&
(![X]:((~kind(X)&~old... | tall(alice) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 824634471949270579025706
% SZS output start Proof for 824634471949270579025706
7. ! [X0] : ((strong(X0) | tall(X0)) <=> (humble(X0) & ~calm(X0))) [input p6]
9. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (~humble(X0) | tall(X0))) [input p8]
25. tall(alice) [input hypothesis]
51. ! [X0] : (((s... | 0 |
Everyone who is either curious or patient is not kind or not wise and vice versa.
Everyone who is not curious is calm and vice versa.
Everyone who is not wise or quiet is both patient and strong.
If susan is both curious and brave then someone is not creative or wise.
Everyone who is tall or not rich is humble and vice... | Fred is patient. | neutral | (![X]:((curious(X)<~>patient(X))<=>(~kind(X)|~wise(X))))&
(![X]:(~curious(X)<=>calm(X)))&
(![X]:((~wise(X)|quiet(X))=>(patient(X)&strong(X))))&
(((curious(susan)&brave(susan)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((tall(X)|~rich(X))<=>humble(X)))&
(![X]:((~creative(X)<~>~tall(X))<=>(old(X)<~>generous(X))))&
(((~ol... | patient(fred) | [] | null | 0 |
Everyone who is not creative or not humble is either not wise or tall.
If mary is either not old or kind then someone is not old or generous and vice versa.
Everyone who is both old and not brave is not curious and vice versa.
Everyone who is both not old and creative is creative or tall.
Everyone who is not wise is no... | Susan is not humble. | contradiction | (![X]:((~creative(X)|~humble(X))=>(~wise(X)<~>tall(X))))&
(((~old(mary)<~>kind(mary)))<=>(?[X]:((~old(X)|generous(X)))))&
(![X]:((old(X)&~brave(X))<=>~curious(X)))&
(![X]:((~old(X)&creative(X))=>(creative(X)|tall(X))))&
(![X]:(~wise(X)<=>(~brave(X)|quiet(X))))&
(((creative(alice)&~happy(alice)))=>((~patient(alice)<~>~h... | ~humble(susan) | [
"p4",
"p11",
"p12",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2544799175976513103114329
% SZS output start Proof for 2544799175976513103114329
5. ! [X0] : (~wise(X0) <=> (quiet(X0) | ~brave(X0))) [input p4]
12. ! [X0] : ((quiet(X0) | ~humble(X0)) => (~creative(X0) & ~strong(X0))) [input p11]
13. ! [X0] : ((~brave(X0) <~> creative(X0)) => humble(X0))... | 0 |
Everyone who is not creative is creative or strong. If someone is either brave or humble then alice is both not curious and not generous. If someone is both calm and patient then john is both not generous and not funny and vice versa. Everyone who is both not creative and not humble is not brave or not wise and vice ve... | Fred is curious. | neutral | (![X]:(~creative(X)=>(creative(X)|strong(X))))&
((?[X]:((brave(X)<~>humble(X))))=>((~curious(alice)&~generous(alice))))&
((?[X]:((calm(X)&patient(X))))<=>((~generous(john)&~funny(john))))&
(![X]:((~creative(X)&~humble(X))<=>(~brave(X)|~wise(X))))&
(![X]:(~wise(X)<=>(rich(X)&~wise(X))))&
(![X]:((~generous(X)|humble(X))<... | curious(fred) | [] | null | 0 |
If susan is both not strong and not wise then fred is rich and vice versa.
Everyone who is either calm or kind is kind or wise.
Everyone who is either not humble or not quiet is brave.
If john is not humble or patient then someone is rich or not generous.
If someone is not humble then someone is not old and vice versa.... | Fred is rich. | neutral | (((~strong(susan)&~wise(susan)))<=>(rich(fred)))&
(![X]:((calm(X)<~>kind(X))=>(kind(X)|wise(X))))&
(![X]:((~humble(X)<~>~quiet(X))=>brave(X)))&
(((~humble(john)|patient(john)))=>(?[X]:((rich(X)|~generous(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:(~old(X))))&
((?[X]:((calm(X)&~wise(X))))=>((~wise(alice)|creative(alice))))&
(... | rich(fred) | [] | null | 0 |
Everyone who is happy or rich is both patient and not funny and vice versa.
Everyone who is strong or not wise is either not brave or not creative.
If susan is either not generous or quiet then someone is either not generous or not funny and vice versa.
If fred is either not humble or curious then alice is not calm.
If... | Lucy is not quiet. | contradiction | (![X]:((happy(X)|rich(X))<=>(patient(X)&~funny(X))))&
(![X]:((strong(X)|~wise(X))=>(~brave(X)<~>~creative(X))))&
(((~generous(susan)<~>quiet(susan)))<=>(?[X]:((~generous(X)<~>~funny(X)))))&
(((~humble(fred)<~>curious(fred)))=>(~calm(alice)))&
(((calm(paul)<~>~humble(paul)))=>((strong(john)&calm(john))))&
(![X]:(curious... | ~quiet(lucy) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5450666465270164540385549
% SZS output start Proof for 5450666465270164540385549
1. ! [X0] : ((rich(X0) | happy(X0)) <=> (~funny(X0) & patient(X0))) [input p0]
14. (rich(lucy) & ~patient(lucy)) <=> ? [X0] : ~quiet(X0) [input p13]
25. ~quiet(lucy) [input hypothesis]
35. ! [X0] : (((rich(X0... | 0 |
If someone is both happy and not humble then susan is calm.
If someone is either rich or strong then paul is not old.
If someone is either strong or tall then fred is both patient and strong.
Everyone who is strong is both brave and curious.
If paul is not brave then someone is either not brave or funny and vice versa.... | Mary is not patient. | neutral | ((?[X]:((happy(X)&~humble(X))))=>(calm(susan)))&
((?[X]:((rich(X)<~>strong(X))))=>(~old(paul)))&
((?[X]:((strong(X)<~>tall(X))))=>((patient(fred)&strong(fred))))&
(![X]:(strong(X)=>(brave(X)&curious(X))))&
((~brave(paul))<=>(?[X]:((~brave(X)<~>funny(X)))))&
(![X]:((~calm(X)<~>~wise(X))<=>humble(X)))&
(![X]:((~tall(X)<~... | ~patient(mary) | [] | null | 0 |
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