premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not kind or happy is not old or not humble.
If susan is both rich and kind then someone is curious or strong.
If someone is not creative then someone is not happy or tall and vice versa.
Everyone who is wise or not calm is either not wise or creative and vice versa.
If someone is not wise or not ... | John is wise. | entailment | (![X]:((~kind(X)<~>happy(X))=>(~old(X)|~humble(X))))&
(((rich(susan)&kind(susan)))=>(?[X]:((curious(X)|strong(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((wise(X)|~calm(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|~patient(X))))=>(?[X]:((brave(X)|~kind(X)))))&
(((~strong(lucy)|creative... | wise(john) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3815184143714263495153508
% SZS output start Proof for 3815184143714263495153508
3. ? [X0] : ~creative(X0) <=> ? [X0] : (tall(X0) | ~happy(X0)) [input p2]
4. ! [X0] : ((~calm(X0) | wise(X0)) <=> (~wise(X0) <~> creative(X0))) [input p3]
7. ! [X0] : ((~calm(X0) & kind(X0)) <=> (~quiet(X0) |... | 0 |
Everyone who is funny or not rich is rich and vice versa.
Everyone who is not rich or not old is not tall and vice versa.
If paul is both not strong and funny then mary is either strong or not happy.
If someone is both curious and not kind then someone is both wise and calm.
If someone is not generous then fred is both... | Mary is generous. | neutral | (![X]:((funny(X)|~rich(X))<=>rich(X)))&
(![X]:((~rich(X)|~old(X))<=>~tall(X)))&
(((~strong(paul)&funny(paul)))=>((strong(mary)<~>~happy(mary))))&
((?[X]:((curious(X)&~kind(X))))=>(?[X]:((wise(X)&calm(X)))))&
((?[X]:(~generous(X)))=>((~tall(fred)&~calm(fred))))&
(((~brave(susan)&funny(susan)))<=>(?[X]:((~curious(X)<~>ge... | generous(mary) | [] | null | 0 |
If someone is both not tall and not humble then fred is not brave or not funny and vice versa.
Everyone who is both not strong and not kind is generous or strong.
Everyone who is both not wise and not curious is not quiet and vice versa.
Everyone who is either patient or not curious is either not brave or generous.
Eve... | Fred is not humble. | contradiction | ((?[X]:((~tall(X)&~humble(X))))<=>((~brave(fred)|~funny(fred))))&
(![X]:((~strong(X)&~kind(X))=>(generous(X)|strong(X))))&
(![X]:((~wise(X)&~curious(X))<=>~quiet(X)))&
(![X]:((patient(X)<~>~curious(X))=>(~brave(X)<~>generous(X))))&
(![X]:((old(X)&kind(X))<=>(~funny(X)<~>funny(X))))&
(![X]:((~rich(X)<~>happy(X))=>(happy... | ~humble(fred) | [
"p4",
"p5",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4224250721530552913877502
% SZS output start Proof for 4224250721530552913877502
5. ! [X0] : ((kind(X0) & old(X0)) <=> (~funny(X0) <~> funny(X0))) [input p4]
6. ! [X0] : ((~rich(X0) <~> happy(X0)) => (~old(X0) & happy(X0))) [input p5]
13. ! [X0] : (~happy(X0) => (~kind(X0) | humble(X0))) ... | 0 |
Everyone who is quiet is either humble or strong.
If someone is not rich or generous then alice is both happy and creative.
Everyone who is both rich and not creative is either not kind or not quiet and vice versa.
Everyone who is brave or not strong is not humble and vice versa.
If someone is both rich and patient the... | Lucy is patient. | contradiction | (![X]:(quiet(X)=>(humble(X)<~>strong(X))))&
((?[X]:((~rich(X)|generous(X))))=>((happy(alice)&creative(alice))))&
(![X]:((rich(X)&~creative(X))<=>(~kind(X)<~>~quiet(X))))&
(![X]:((brave(X)|~strong(X))<=>~humble(X)))&
((?[X]:((rich(X)&patient(X))))=>((humble(paul)<~>patient(paul))))&
(![X]:((~tall(X)&~generous(X))<=>(~ol... | patient(lucy) | [
"p0",
"p3",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 182453151153235945332394
% SZS output start Proof for 182453151153235945332394
1. ! [X0] : (quiet(X0) => (humble(X0) <~> strong(X0))) [input p0]
4. ! [X0] : ((~strong(X0) | brave(X0)) <=> ~humble(X0)) [input p3]
9. ! [X0] : ((creative(X0) | ~quiet(X0)) => ~patient(X0)) [input p8]
10. ! [X... | 0 |
If someone is either not wise or not strong then lucy is not generous and vice versa.
If someone is either humble or funny then someone is not funny and vice versa.
Everyone who is not curious or curious is either kind or rich and vice versa.
If someone is calm or not strong then someone is either strong or not kind.
I... | Fred is not quiet. | contradiction | ((?[X]:((~wise(X)<~>~strong(X))))<=>(~generous(lucy)))&
((?[X]:((humble(X)<~>funny(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)|curious(X))<=>(kind(X)<~>rich(X))))&
((?[X]:((calm(X)|~strong(X))))=>(?[X]:((strong(X)<~>~kind(X)))))&
((?[X]:((quiet(X)&kind(X))))<=>(~strong(susan)))&
(![X]:((kind(X)<~>calm(X))<=>(wise(... | ~quiet(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6751166837501558639757144
% SZS output start Proof for 6751166837501558639757144
3. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (kind(X0) <~> rich(X0))) [input p2]
6. ! [X0] : ((kind(X0) <~> calm(X0)) <=> (wise(X0) <~> tall(X0))) [input p5]
7. ! [X0] : (quiet(X0) <=> (calm(X0) <~> creative... | 0 |
Everyone who is brave is generous.
If john is either tall or not calm then someone is not happy and vice versa.
If paul is both not funny and creative then paul is not happy and vice versa.
Everyone who is either calm or not strong is both funny and not happy and vice versa.
If lucy is both not rich and old then someon... | Mary is not creative. | entailment | (![X]:(brave(X)=>generous(X)))&
(((tall(john)<~>~calm(john)))<=>(?[X]:(~happy(X))))&
(((~funny(paul)&creative(paul)))<=>(~happy(paul)))&
(![X]:((calm(X)<~>~strong(X))<=>(funny(X)&~happy(X))))&
(((~rich(lucy)&old(lucy)))=>(?[X]:(~humble(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)&~strong(X))<=>(t... | ~creative(mary) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 514630315374104385520072
% SZS output start Proof for 514630315374104385520072
8. ? [X0] : (curious(X0) | ~strong(X0)) <=> (~creative(mary) & ~calm(mary)) [input p7]
17. curious(mary) & generous(mary) [input p16]
25. creative(mary) [input hypothesis]
56. (? [X0] : (curious(X0) | ~strong(X... | 0 |
If someone is not patient then alice is kind and vice versa. Everyone who is either not old or patient is both rich and not quiet and vice versa. If someone is not quiet or rich then someone is both not calm and humble. Everyone who is old is not tall or happy and vice versa. Everyone who is kind or old is both quiet a... | Alice is kind. | entailment | ((?[X]:(~patient(X)))<=>(kind(alice)))&
(![X]:((~old(X)<~>patient(X))<=>(rich(X)&~quiet(X))))&
((?[X]:((~quiet(X)|rich(X))))=>(?[X]:((~calm(X)&humble(X)))))&
(![X]:(old(X)<=>(~tall(X)|happy(X))))&
(![X]:((kind(X)|old(X))<=>(quiet(X)&strong(X))))&
((?[X]:((~creative(X)|~calm(X))))<=>(?[X]:(~creative(X))))&
(((~patient(a... | kind(alice) | [
"p0",
"p1",
"p3",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6973396249658399590836422
% SZS output start Proof for 6973396249658399590836422
1. ? [X0] : ~patient(X0) <=> kind(alice) [input p0]
2. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (~quiet(X0) & rich(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (happy(X0) | ~tall(X0))) [input p3]
17. patient(joh... | 0 |
Everyone who is either brave or tall is not happy or calm and vice versa.
If john is either not creative or not calm then someone is both not creative and wise.
If someone is both not old and not strong then someone is kind and vice versa.
If someone is wise then someone is either not rich or patient.
If someone is not... | Susan is generous. | neutral | (![X]:((brave(X)<~>tall(X))<=>(~happy(X)|calm(X))))&
(((~creative(john)<~>~calm(john)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:((~old(X)&~strong(X))))<=>(?[X]:(kind(X))))&
((?[X]:(wise(X)))=>(?[X]:((~rich(X)<~>patient(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:((~brave(X)<~>old(X)... | generous(susan) | [] | null | 0 |
If john is both not kind and tall then fred is calm or not wise.
If someone is either not calm or not funny then someone is both calm and not humble and vice versa.
Everyone who is not wise is strong or happy.
Everyone who is not tall or not creative is both not rich and strong and vice versa.
Everyone who is either no... | Lucy is not creative. | contradiction | (((~kind(john)&tall(john)))=>((calm(fred)|~wise(fred))))&
((?[X]:((~calm(X)<~>~funny(X))))<=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:(~wise(X)=>(strong(X)|happy(X))))&
(![X]:((~tall(X)|~creative(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~s... | ~creative(lucy) | [
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 11253966864708897873242
% SZS output start Proof for 11253966864708897873242
8. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p7]
11. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (happy(X0) <~> ~calm(X0))) [input p10]
13. (wise(lucy) | ~creative(lucy)) => (~rich(paul) | calm(paul)) [i... | 0 |
If john is either not tall or not strong then lucy is both not quiet and not kind.
Everyone who is both not happy and not brave is not calm or not old.
If john is both not quiet and calm then susan is not happy or happy and vice versa.
Everyone who is not brave or not funny is either not quiet or happy.
Everyone who is... | Alice is generous. | contradiction | (((~tall(john)<~>~strong(john)))=>((~quiet(lucy)&~kind(lucy))))&
(![X]:((~happy(X)&~brave(X))=>(~calm(X)|~old(X))))&
(((~quiet(john)&calm(john)))<=>((~happy(susan)|happy(susan))))&
(![X]:((~brave(X)|~funny(X))=>(~quiet(X)<~>happy(X))))&
(![X]:((humble(X)|quiet(X))<=>(~generous(X)&funny(X))))&
(![X]:((quiet(X)<~>creativ... | generous(alice) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 854126951202050319968086
% SZS output start Proof for 854126951202050319968086
4. ! [X0] : ((~funny(X0) | ~brave(X0)) => (~quiet(X0) <~> happy(X0))) [input p3]
5. ! [X0] : ((quiet(X0) | humble(X0)) <=> (funny(X0) & ~generous(X0))) [input p4]
9. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> ... | 0 |
If someone is either generous or not funny then someone is either strong or tall and vice versa.
If paul is not calm or curious then someone is funny or calm.
Everyone who is either not generous or funny is either not calm or not happy.
If someone is not brave or strong then someone is not wise and vice versa.
Everyone... | Alice is not patient. | neutral | ((?[X]:((generous(X)<~>~funny(X))))<=>(?[X]:((strong(X)<~>tall(X)))))&
(((~calm(paul)|curious(paul)))=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((~generous(X)<~>funny(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:((~brave(X)|strong(X))))<=>(?[X]:(~wise(X))))&
(![X]:(~wise(X)<=>(~generous(X)&wise(X))))&
(((creative(alice)<~>strong(a... | ~patient(alice) | [] | null | 0 |
If fred is both not brave and not happy then someone is happy and vice versa.
Everyone who is both not old and humble is not wise and vice versa.
Everyone who is not generous is generous.
If alice is not kind then someone is not creative or rich and vice versa.
If alice is strong then lucy is not curious and vice versa... | Lucy is not patient. | neutral | (((~brave(fred)&~happy(fred)))<=>(?[X]:(happy(X))))&
(![X]:((~old(X)&humble(X))<=>~wise(X)))&
(![X]:(~generous(X)=>generous(X)))&
((~kind(alice))<=>(?[X]:((~creative(X)|rich(X)))))&
((strong(alice))<=>(~curious(lucy)))&
(![X]:((creative(X)|~funny(X))<=>~funny(X)))&
((?[X]:(kind(X)))=>(?[X]:((~brave(X)<~>~kind(X)))))&
(... | ~patient(lucy) | [] | null | 0 |
Everyone who is brave is strong or not kind and vice versa.
Everyone who is happy or kind is either not wise or calm and vice versa.
If john is either not patient or quiet then someone is happy and vice versa.
Everyone who is both strong and creative is either patient or not creative and vice versa.
Everyone who is hum... | Paul is not happy. | contradiction | (![X]:(brave(X)<=>(strong(X)|~kind(X))))&
(![X]:((happy(X)|kind(X))<=>(~wise(X)<~>calm(X))))&
(((~patient(john)<~>quiet(john)))<=>(?[X]:(happy(X))))&
(![X]:((strong(X)&creative(X))<=>(patient(X)<~>~creative(X))))&
(![X]:(humble(X)=>(~creative(X)|quiet(X))))&
((?[X]:(~rich(X)))<=>((~rich(fred)<~>~humble(fred))))&
(((gen... | ~happy(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8821052785799614596756130
% SZS output start Proof for 8821052785799614596756130
16. ! [X0] : ((happy(X0) | calm(X0)) <=> ~calm(X0)) [input p15]
25. ~happy(paul) [input hypothesis]
70. ! [X0] : (((happy(X0) | calm(X0)) | calm(X0)) & (~calm(X0) | (~happy(X0) & ~calm(X0)))) [nnf transformat... | 0 |
Everyone who is either not quiet or not funny is either creative or not curious and vice versa.
If someone is either curious or not wise then lucy is both old and generous and vice versa.
If someone is both not calm and not curious then fred is not wise or not creative and vice versa.
If someone is either not kind or h... | John is not quiet. | entailment | (![X]:((~quiet(X)<~>~funny(X))<=>(creative(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>~wise(X))))<=>((old(lucy)&generous(lucy))))&
((?[X]:((~calm(X)&~curious(X))))<=>((~wise(fred)|~creative(fred))))&
((?[X]:((~kind(X)<~>happy(X))))<=>(brave(john)))&
(![X]:((~calm(X)&~funny(X))<=>~quiet(X)))&
(![X]:((old(X)&~humble(X))<... | ~quiet(john) | [
"p3",
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6870943654572435616694711
% SZS output start Proof for 6870943654572435616694711
4. ? [X0] : (~kind(X0) <~> happy(X0)) <=> brave(john) [input p3]
8. ! [X0] : ((~wise(X0) | ~patient(X0)) => ~happy(X0)) [input p7]
11. ! [X0] : ((~brave(X0) & patient(X0)) <=> (quiet(X0) | kind(X0))) [input p... | 0 |
If susan is kind or wise then someone is either kind or not strong.
Everyone who is curious or not kind is not tall or brave.
Everyone who is either not curious or patient is wise and vice versa.
Everyone who is happy or not brave is both happy and not calm.
If john is both not tall and wise then someone is curious or ... | John is strong. | entailment | (((kind(susan)|wise(susan)))=>(?[X]:((kind(X)<~>~strong(X)))))&
(![X]:((curious(X)|~kind(X))=>(~tall(X)|brave(X))))&
(![X]:((~curious(X)<~>patient(X))<=>wise(X)))&
(![X]:((happy(X)|~brave(X))=>(happy(X)&~calm(X))))&
(((~tall(john)&wise(john)))<=>(?[X]:((curious(X)|~strong(X)))))&
(![X]:(~humble(X)<=>~creative(X)))&
(![... | strong(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2472738983007739706224600
% SZS output start Proof for 2472738983007739706224600
5. (wise(john) & ~tall(john)) <=> ? [X0] : (~strong(X0) | curious(X0)) [input p4]
7. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~wise(X0) & old(X0))) [input p6]
22. ~strong(john) [input hypothesis]
37. ((wise(john... | 0 |
Everyone who is funny is tall or not happy.
If someone is either not funny or creative then someone is either happy or not happy and vice versa.
If someone is brave or funny then john is either funny or quiet.
If someone is not patient or not old then paul is happy.
If someone is either rich or not curious then someone... | Paul is not quiet. | neutral | (![X]:(funny(X)=>(tall(X)|~happy(X))))&
((?[X]:((~funny(X)<~>creative(X))))<=>(?[X]:((happy(X)<~>~happy(X)))))&
((?[X]:((brave(X)|funny(X))))=>((funny(john)<~>quiet(john))))&
((?[X]:((~patient(X)|~old(X))))=>(happy(paul)))&
((?[X]:((rich(X)<~>~curious(X))))=>(?[X]:((~happy(X)|~humble(X)))))&
((?[X]:((~funny(X)|~old(X))... | ~quiet(paul) | [] | null | 0 |
If mary is both kind and strong then someone is funny and vice versa. Everyone who is not humble or kind is not funny or not quiet and vice versa. Everyone who is either not quiet or not humble is not funny. If someone is either not tall or calm then susan is wise or generous. If someone is not creative or not kind the... | Susan is strong. | neutral | (((kind(mary)&strong(mary)))<=>(?[X]:(funny(X))))&
(![X]:((~humble(X)|kind(X))<=>(~funny(X)|~quiet(X))))&
(![X]:((~quiet(X)<~>~humble(X))=>~funny(X)))&
((?[X]:((~tall(X)<~>calm(X))))=>((wise(susan)|generous(susan))))&
((?[X]:((~creative(X)|~kind(X))))<=>(~humble(susan)))&
(![X]:((~calm(X)<~>~generous(X))<=>(~old(X)|cur... | strong(susan) | [] | null | 0 |
Everyone who is not happy or tall is not happy or not quiet.
If someone is brave or not curious then fred is both not patient and not humble.
Everyone who is wise is both not rich and not quiet and vice versa.
Everyone who is not brave is tall or not generous.
Everyone who is either not kind or wise is both brave and r... | Fred is patient. | entailment | (![X]:((~happy(X)|tall(X))=>(~happy(X)|~quiet(X))))&
((?[X]:((brave(X)|~curious(X))))=>((~patient(fred)&~humble(fred))))&
(![X]:(wise(X)<=>(~rich(X)&~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)|~generous(X))))&
(![X]:((~kind(X)<~>wise(X))=>(brave(X)&rich(X))))&
((rich(paul))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:(~calm(X)... | patient(fred) | [
"p1",
"p2",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4393607621910466955664535
% SZS output start Proof for 4393607621910466955664535
2. ? [X0] : (~curious(X0) | brave(X0)) => (~humble(fred) & ~patient(fred)) [input p1]
3. ! [X0] : (wise(X0) <=> (~quiet(X0) & ~rich(X0))) [input p2]
10. ! [X0] : ((humble(X0) <~> ~wise(X0)) <=> (patient(X0) <... | 0 |
Everyone who is wise or calm is both quiet and not wise. If mary is not brave then susan is either kind or not strong. If someone is both not wise and not brave then lucy is not strong or brave and vice versa. Everyone who is either quiet or old is calm. Everyone who is either not curious or not calm is not brave or qu... | Alice is not rich. | entailment | (![X]:((wise(X)|calm(X))=>(quiet(X)&~wise(X))))&
((~brave(mary))=>((kind(susan)<~>~strong(susan))))&
((?[X]:((~wise(X)&~brave(X))))<=>((~strong(lucy)|brave(lucy))))&
(![X]:((quiet(X)<~>old(X))=>calm(X)))&
(![X]:((~curious(X)<~>~calm(X))=>(~brave(X)|quiet(X))))&
(((patient(fred)&happy(fred)))<=>(?[X]:((humble(X)<~>kind(... | ~rich(alice) | [
"p0",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7834142998557322034964691
% SZS output start Proof for 7834142998557322034964691
1. ! [X0] : ((calm(X0) | wise(X0)) => (~wise(X0) & quiet(X0))) [input p0]
6. (happy(fred) & patient(fred)) <=> ? [X0] : (humble(X0) <~> kind(X0)) [input p5]
7. ~kind(alice) <=> ? [X0] : (humble(X0) | tall(X0)... | 0 |
Everyone who is either not quiet or not generous is both generous and curious.
If someone is tall then someone is both humble and wise and vice versa.
Everyone who is not creative or brave is both not curious and not strong and vice versa.
If lucy is either happy or brave then mary is generous or not rich.
If someone i... | Lucy is quiet. | entailment | (![X]:((~quiet(X)<~>~generous(X))=>(generous(X)&curious(X))))&
((?[X]:(tall(X)))<=>(?[X]:((humble(X)&wise(X)))))&
(![X]:((~creative(X)|brave(X))<=>(~curious(X)&~strong(X))))&
(((happy(lucy)<~>brave(lucy)))=>((generous(mary)|~rich(mary))))&
((?[X]:((~humble(X)|~quiet(X))))=>((~patient(mary)<~>strong(mary))))&
(![X]:((cu... | quiet(lucy) | [
"p0",
"p2",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 737806453700797270572967
% SZS output start Proof for 737806453700797270572967
1. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) => (curious(X0) & generous(X0))) [input p0]
3. ! [X0] : ((brave(X0) | ~creative(X0)) <=> (~strong(X0) & ~curious(X0))) [input p2]
6. ! [X0] : ((funny(X0) | curious(X0... | 0 |
If mary is not patient then john is rich and vice versa.
Everyone who is either strong or happy is both patient and generous and vice versa.
Everyone who is both wise and not creative is not curious and vice versa.
Everyone who is both not happy and curious is either not calm or creative.
If someone is either not happy... | Susan is not creative. | entailment | ((~patient(mary))<=>(rich(john)))&
(![X]:((strong(X)<~>happy(X))<=>(patient(X)&generous(X))))&
(![X]:((wise(X)&~creative(X))<=>~curious(X)))&
(![X]:((~happy(X)&curious(X))=>(~calm(X)<~>creative(X))))&
((?[X]:((~happy(X)<~>~curious(X))))<=>(~brave(paul)))&
((?[X]:((patient(X)<~>strong(X))))=>((~old(alice)&~quiet(alice))... | ~creative(susan) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1799289529872820674459770
% SZS output start Proof for 1799289529872820674459770
3. ! [X0] : ((~creative(X0) & wise(X0)) <=> ~curious(X0)) [input p2]
16. ~curious(susan) [input p15]
22. creative(susan) [input hypothesis]
40. ! [X0] : (((~creative(X0) & wise(X0)) | curious(X0)) & (~curious... | 0 |
Everyone who is both not happy and creative is not old or not funny and vice versa.
If someone is either curious or not calm then lucy is not calm and vice versa.
If fred is both kind and generous then fred is both not patient and not quiet.
Everyone who is both not happy and not tall is not creative or tall and vice v... | Fred is not curious. | entailment | (![X]:((~happy(X)&creative(X))<=>(~old(X)|~funny(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>(~calm(lucy)))&
(((kind(fred)&generous(fred)))=>((~patient(fred)&~quiet(fred))))&
(![X]:((~happy(X)&~tall(X))<=>(~creative(X)|tall(X))))&
(![X]:((funny(X)&quiet(X))=>wise(X)))&
(![X]:((creative(X)<~>rich(X))=>(~calm(X)|~rich(X))... | ~curious(fred) | [
"p1",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 604735344684586186296723
% SZS output start Proof for 604735344684586186296723
2. ? [X0] : (curious(X0) <~> ~calm(X0)) <=> ~calm(lucy) [input p1]
4. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (tall(X0) | ~creative(X0))) [input p3]
7. ! [X0] : ((~quiet(X0) & calm(X0)) <=> ~old(X0)) [input p6]
... | 0 |
Everyone who is not brave is both wise and not humble. If someone is not quiet then someone is either not strong or generous. If someone is either not humble or funny then mary is not strong or tall and vice versa. Everyone who is funny or creative is both not strong and tall. Everyone who is not brave or not patient i... | Alice is not rich. | contradiction | (![X]:(~brave(X)=>(wise(X)&~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~generous(X)<~>generou... | ~rich(alice) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1007085562257170554645836
% SZS output start Proof for 1007085562257170554645836
1. ! [X0] : (~brave(X0) => (~humble(X0) & wise(X0))) [input p0]
3. ? [X0] : (~humble(X0) <~> funny(X0)) <=> (tall(mary) | ~strong(mary)) [input p2]
5. ! [X0] : ((~patient(X0) | ~brave(X0)) => ~funny(X0)) [inp... | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Fred is not curious. | entailment | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | ~curious(fred) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1854193366987436055822477
% SZS output start Proof for 1854193366987436055822477
1. ? [X0] : (curious(X0) | ~wise(X0)) => rich(lucy) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (~kind(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [in... | 0 |
Everyone who is either creative or wise is curious and vice versa. Everyone who is quiet or not patient is quiet. Everyone who is not tall or brave is patient or brave and vice versa. If john is humble then paul is not creative and vice versa. Everyone who is either tall or creative is brave or not kind. Everyone who i... | Paul is strong. | contradiction | (![X]:((creative(X)<~>wise(X))<=>curious(X)))&
(![X]:((quiet(X)|~patient(X))=>quiet(X)))&
(![X]:((~tall(X)|brave(X))<=>(patient(X)|brave(X))))&
((humble(john))<=>(~creative(paul)))&
(![X]:((tall(X)<~>creative(X))=>(brave(X)|~kind(X))))&
(![X]:(happy(X)<=>~strong(X)))&
(![X]:((quiet(X)|~patient(X))=>curious(X)))&
(((~fu... | strong(paul) | [
"p5",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 613801232423616972732388
% SZS output start Proof for 613801232423616972732388
6. ! [X0] : (happy(X0) <=> ~strong(X0)) [input p5]
10. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (~patient(X0) & wise(X0))) [input p9]
21. ~strong(paul) | ~wise(paul) [input p20]
25. strong(paul) [input hypothesis... | 0 |
If fred is both curious and not quiet then someone is not old and vice versa.
Everyone who is not curious or funny is either rich or not curious and vice versa.
If alice is not creative then alice is calm and vice versa.
Everyone who is both not tall and kind is either generous or not funny and vice versa.
If someone i... | Alice is creative. | neutral | (((curious(fred)&~quiet(fred)))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)|funny(X))<=>(rich(X)<~>~curious(X))))&
((~creative(alice))<=>(calm(alice)))&
(![X]:((~tall(X)&kind(X))<=>(generous(X)<~>~funny(X))))&
((?[X]:((~generous(X)|~old(X))))<=>(?[X]:((~quiet(X)|rich(X)))))&
((?[X]:((~funny(X)&calm(X))))=>(humble(susan)))... | creative(alice) | [] | null | 0 |
Everyone who is not funny is either curious or not wise and vice versa.
Everyone who is not patient or generous is either not strong or calm and vice versa.
Everyone who is both not funny and calm is not humble and vice versa.
If fred is either not calm or brave then someone is calm.
If someone is both not funny and no... | Fred is tall. | contradiction | (![X]:(~funny(X)<=>(curious(X)<~>~wise(X))))&
(![X]:((~patient(X)|generous(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((~funny(X)&calm(X))<=>~humble(X)))&
(((~calm(fred)<~>brave(fred)))=>(?[X]:(calm(X))))&
((?[X]:((~funny(X)&~patient(X))))=>((old(susan)<~>~quiet(susan))))&
(![X]:((humble(X)<~>quiet(X))=>(creative(X)<~>~happ... | tall(fred) | [
"p6",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 976189835270784477700910
% SZS output start Proof for 976189835270784477700910
7. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (strong(X0) <~> brave(X0))) [input p6]
9. ! [X0] : ((patient(X0) | ~kind(X0)) => (~generous(X0) & brave(X0))) [input p8]
10. ! [X0] : (kind(X0) <=> (~wise(X0) & gene... | 0 |
Everyone who is both not wise and tall is strong and vice versa.
If lucy is either rich or calm then alice is not creative or rich and vice versa.
Everyone who is both not wise and not tall is either tall or happy and vice versa.
Everyone who is either not kind or not funny is wise.
If john is not happy then someone is... | Susan is old. | neutral | (![X]:((~wise(X)&tall(X))<=>strong(X)))&
(((rich(lucy)<~>calm(lucy)))<=>((~creative(alice)|rich(alice))))&
(![X]:((~wise(X)&~tall(X))<=>(tall(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~funny(X))=>wise(X)))&
((~happy(john))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curious(X)&~brave(X))=>(~wise(X)&~generous(X))))&
((?[X]:((h... | old(susan) | [] | null | 0 |
If susan is either not patient or patient then mary is either quiet or brave and vice versa.
Everyone who is either quiet or creative is quiet.
If someone is either wise or happy then someone is patient or not brave.
Everyone who is either funny or brave is either funny or tall.
Everyone who is both brave and not wise ... | Lucy is not tall. | entailment | (((~patient(susan)<~>patient(susan)))<=>((quiet(mary)<~>brave(mary))))&
(![X]:((quiet(X)<~>creative(X))=>quiet(X)))&
((?[X]:((wise(X)<~>happy(X))))=>(?[X]:((patient(X)|~brave(X)))))&
(![X]:((funny(X)<~>brave(X))=>(funny(X)<~>tall(X))))&
(![X]:((brave(X)&~wise(X))=>(generous(X)|~kind(X))))&
((?[X]:((~old(X)|~creative(X)... | ~tall(lucy) | [
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1058794535199299708837076
% SZS output start Proof for 1058794535199299708837076
11. ! [X0] : ((~curious(X0) | patient(X0)) <=> (~rich(X0) & calm(X0))) [input p10]
16. ! [X0] : ((calm(X0) | patient(X0)) <=> (old(X0) <~> tall(X0))) [input p15]
19. ~calm(lucy) & ~old(lucy) [input p18]
24. t... | 0 |
If susan is either not curious or not quiet then mary is not creative.
Everyone who is not happy or not creative is both patient and not old.
Everyone who is either not old or not funny is quiet and vice versa.
If someone is not happy then susan is either brave or not curious.
If someone is both creative and quiet then... | Alice is calm. | contradiction | (((~curious(susan)<~>~quiet(susan)))=>(~creative(mary)))&
(![X]:((~happy(X)|~creative(X))=>(patient(X)&~old(X))))&
(![X]:((~old(X)<~>~funny(X))<=>quiet(X)))&
((?[X]:(~happy(X)))=>((brave(susan)<~>~curious(susan))))&
((?[X]:((creative(X)&quiet(X))))<=>(happy(lucy)))&
(((~rich(paul)&~kind(paul)))=>(tall(susan)))&
(![X]:(... | calm(alice) | [
"p1",
"p7",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3832986808092268107621723
% SZS output start Proof for 3832986808092268107621723
2. ! [X0] : ((~creative(X0) | ~happy(X0)) => (~old(X0) & patient(X0))) [input p1]
8. ! [X0] : ((~kind(X0) | ~old(X0)) => (~quiet(X0) | ~calm(X0))) [input p7]
12. ! [X0] : (~humble(X0) <=> (humble(X0) & curiou... | 0 |
Everyone who is generous or happy is both rich and curious.
Everyone who is either funny or not kind is strong.
If someone is wise then lucy is calm or not wise and vice versa.
If alice is kind or quiet then susan is happy.
Everyone who is not wise is both generous and funny and vice versa.
Everyone who is not generous... | Alice is not funny. | contradiction | (![X]:((generous(X)|happy(X))=>(rich(X)&curious(X))))&
(![X]:((funny(X)<~>~kind(X))=>strong(X)))&
((?[X]:(wise(X)))<=>((calm(lucy)|~wise(lucy))))&
(((kind(alice)|quiet(alice)))=>(happy(susan)))&
(![X]:(~wise(X)<=>(generous(X)&funny(X))))&
(![X]:(~generous(X)=>(~happy(X)&~patient(X))))&
((?[X]:((humble(X)&quiet(X))))=>(... | ~funny(alice) | [
"p0",
"p1",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2741778172220700769204964
% SZS output start Proof for 2741778172220700769204964
1. ! [X0] : ((happy(X0) | generous(X0)) => (curious(X0) & rich(X0))) [input p0]
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) => strong(X0)) [input p1]
8. (~generous(susan) | curious(susan)) <=> (calm(alice) & ~kind... | 0 |
If alice is not kind then fred is not kind. If someone is not curious then lucy is either not patient or humble. Everyone who is not quiet or not tall is happy. If someone is not wise or generous then paul is either tall or patient and vice versa. If someone is both not wise and rich then susan is generous. Everyone wh... | Lucy is patient. | contradiction | ((~kind(alice))=>(~kind(fred)))&
((?[X]:(~curious(X)))=>((~patient(lucy)<~>humble(lucy))))&
(![X]:((~quiet(X)|~tall(X))=>happy(X)))&
((?[X]:((~wise(X)|generous(X))))<=>((tall(paul)<~>patient(paul))))&
((?[X]:((~wise(X)&rich(X))))=>(generous(susan)))&
(![X]:(quiet(X)<=>(humble(X)|~rich(X))))&
(((brave(paul)&tall(paul)))... | patient(lucy) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4148713874862842368635428
% SZS output start Proof for 4148713874862842368635428
3. ! [X0] : ((~tall(X0) | ~quiet(X0)) => happy(X0)) [input p2]
10. ! [X0] : ((~old(X0) | happy(X0)) => (kind(X0) & ~kind(X0))) [input p9]
13. ! [X0] : (patient(X0) => (~tall(X0) & ~generous(X0))) [input p12]
... | 0 |
If mary is either not strong or not old then john is either not humble or brave and vice versa.
Everyone who is not kind is both happy and not kind.
If someone is both not kind and not rich then someone is not rich or not humble and vice versa.
Everyone who is either calm or tall is humble or creative and vice versa.
I... | Alice is humble. | contradiction | (((~strong(mary)<~>~old(mary)))<=>((~humble(john)<~>brave(john))))&
(![X]:(~kind(X)=>(happy(X)&~kind(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((calm(X)<~>tall(X))<=>(humble(X)|creative(X))))&
(((~wise(fred)&kind(fred)))<=>(?[X]:(~brave(X))))&
((rich(alice))=>((old(alice)<~>~curious(... | humble(alice) | [
"p8",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4375742381457544584626092
% SZS output start Proof for 4375742381457544584626092
9. ! [X0] : ((~curious(X0) | calm(X0)) => ~humble(X0)) [input p8]
10. ! [X0] : (funny(X0) <=> (~wise(X0) & kind(X0))) [input p9]
13. ! [X0] : ((~strong(X0) | brave(X0)) => (~brave(X0) <~> funny(X0))) [input p... | 0 |
Everyone who is not creative is either not tall or not humble and vice versa.
If someone is humble or not humble then someone is both humble and not funny and vice versa.
If mary is not brave or not strong then mary is both tall and not patient.
Everyone who is not rich is both not funny and funny and vice versa.
Every... | Alice is not creative. | entailment | (![X]:(~creative(X)<=>(~tall(X)<~>~humble(X))))&
((?[X]:((humble(X)|~humble(X))))<=>(?[X]:((humble(X)&~funny(X)))))&
(((~brave(mary)|~strong(mary)))=>((tall(mary)&~patient(mary))))&
(![X]:(~rich(X)<=>(~funny(X)&funny(X))))&
(![X]:(happy(X)=>(calm(X)<~>kind(X))))&
((~kind(susan))<=>((patient(alice)&~humble(alice))))&
(!... | ~creative(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7677622690715536349861718
% SZS output start Proof for 7677622690715536349861718
7. ! [X0] : (~creative(X0) <=> (creative(X0) | generous(X0))) [input p6]
19. creative(alice) [input hypothesis]
43. ! [X0] : ((~creative(X0) | (~creative(X0) & ~generous(X0))) & ((creative(X0) | generous(X0))... | 0 |
Everyone who is both not humble and humble is creative and vice versa.
Everyone who is both funny and not old is not curious and vice versa.
If someone is either not brave or humble then alice is not kind or not happy.
Everyone who is not patient or tall is both generous and not generous.
If someone is calm or happy th... | Susan is tall. | contradiction | (![X]:((~humble(X)&humble(X))<=>creative(X)))&
(![X]:((funny(X)&~old(X))<=>~curious(X)))&
((?[X]:((~brave(X)<~>humble(X))))=>((~kind(alice)|~happy(alice))))&
(![X]:((~patient(X)|tall(X))=>(generous(X)&~generous(X))))&
((?[X]:((calm(X)|happy(X))))<=>(?[X]:(~kind(X))))&
(((strong(john)|~kind(john)))=>(?[X]:((~brave(X)<~>... | tall(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 24052812095091046118374
% SZS output start Proof for 24052812095091046118374
4. ! [X0] : ((tall(X0) | ~patient(X0)) => (~generous(X0) & generous(X0))) [input p3]
25. tall(susan) [input hypothesis]
31. ! [X0] : ((~generous(X0) & generous(X0)) | (~tall(X0) & patient(X0))) [ennf transformati... | 0 |
If someone is not brave then someone is not creative or not wise and vice versa.
If alice is not quiet or not rich then someone is not creative.
If someone is both not rich and rich then paul is not patient.
Everyone who is both not curious and not patient is not generous and vice versa.
If fred is not calm then someon... | Alice is not wise. | contradiction | ((?[X]:(~brave(X)))<=>(?[X]:((~creative(X)|~wise(X)))))&
(((~quiet(alice)|~rich(alice)))=>(?[X]:(~creative(X))))&
((?[X]:((~rich(X)&rich(X))))=>(~patient(paul)))&
(![X]:((~curious(X)&~patient(X))<=>~generous(X)))&
((~calm(fred))=>(?[X]:((creative(X)<~>quiet(X)))))&
(![X]:((~happy(X)&wise(X))<=>(~funny(X)|~patient(X))))... | ~wise(alice) | [
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 151618397688678693564602
% SZS output start Proof for 151618397688678693564602
4. ! [X0] : ((~patient(X0) & ~curious(X0)) <=> ~generous(X0)) [input p3]
6. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (~patient(X0) | ~funny(X0))) [input p5]
8. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (~generous(... | 0 |
Everyone who is either tall or brave is old and vice versa.
If lucy is both humble and not humble then someone is not happy and vice versa.
If someone is both generous and not kind then someone is funny.
If someone is both not kind and humble then john is either not happy or humble and vice versa.
Everyone who is happy... | Paul is not creative. | contradiction | (![X]:((tall(X)<~>brave(X))<=>old(X)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:(~happy(X))))&
((?[X]:((generous(X)&~kind(X))))=>(?[X]:(funny(X))))&
((?[X]:((~kind(X)&humble(X))))<=>((~happy(john)<~>humble(john))))&
(![X]:(happy(X)=>(rich(X)&~calm(X))))&
((?[X]:((kind(X)&curious(X))))=>((~happy(alice)|humble(alice))))&... | ~creative(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6513520480282724776881513
% SZS output start Proof for 6513520480282724776881513
16. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (creative(X0) & happy(X0))) [input p15]
24. ~creative(paul) [input hypothesis]
62. ! [X0] : (((curious(X0) | ~curious(X0)) | (~creative(X0) | ~happy(X0))) & ((cr... | 0 |
Everyone who is tall is patient or funny. If someone is humble or patient then susan is both not creative and not calm. Everyone who is not brave is calm or curious and vice versa. Everyone who is calm or rich is either not tall or not calm. Everyone who is quiet or not curious is not humble or not brave. Everyone who ... | John is quiet. | neutral | (![X]:(tall(X)=>(patient(X)|funny(X))))&
((?[X]:((humble(X)|patient(X))))=>((~creative(susan)&~calm(susan))))&
(![X]:(~brave(X)<=>(calm(X)|curious(X))))&
(![X]:((calm(X)|rich(X))=>(~tall(X)<~>~calm(X))))&
(![X]:((quiet(X)|~curious(X))=>(~humble(X)|~brave(X))))&
(![X]:((kind(X)&strong(X))<=>strong(X)))&
((?[X]:((creativ... | quiet(john) | [] | null | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa.
Everyone who is tall or brave is not kind.
If someone is either generous or kind then alice is either strong or not strong.
Everyone who is calm is funny.
Everyone who is funny or not wise is either wise or quiet.
Everyone who is ei... | Fred is not wise. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | ~wise(fred) | [
"p8",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5745062842740935551257877
% SZS output start Proof for 5745062842740935551257877
9. ! [X0] : ((~wise(X0) <~> ~rich(X0)) => funny(X0)) [input p8]
14. ! [X0] : ((~brave(X0) | brave(X0)) => (~wise(X0) | ~funny(X0))) [input p13]
19. ~generous(fred) & ~rich(fred) [input p18]
22. wise(fred) [in... | 0 |
If lucy is funny then someone is not curious.
If mary is not patient or not kind then paul is either not old or not kind.
If lucy is tall or strong then mary is generous or kind.
Everyone who is either not funny or tall is tall.
Everyone who is tall or not rich is either not strong or happy and vice versa.
If susan is ... | Alice is not generous. | contradiction | ((funny(lucy))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~kind(paul))))&
(((tall(lucy)|strong(lucy)))=>((generous(mary)|kind(mary))))&
(![X]:((~funny(X)<~>tall(X))=>tall(X)))&
(![X]:((tall(X)|~rich(X))<=>(~strong(X)<~>happy(X))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:((kind(X)|stron... | ~generous(alice) | [
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2060106649431889074951320
% SZS output start Proof for 2060106649431889074951320
7. ! [X0] : ((creative(X0) & ~patient(X0)) <=> (~brave(X0) <~> patient(X0))) [input p6]
9. ? [X0] : calm(X0) <=> (patient(susan) <~> ~generous(susan)) [input p8]
14. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=>... | 0 |
If someone is either patient or humble then john is either not old or humble.
Everyone who is not tall or curious is curious or not old and vice versa.
Everyone who is not humble is kind and vice versa.
Everyone who is not calm is not humble and vice versa.
Everyone who is either calm or not generous is curious or not ... | Susan is not calm. | contradiction | ((?[X]:((patient(X)<~>humble(X))))=>((~old(john)<~>humble(john))))&
(![X]:((~tall(X)|curious(X))<=>(curious(X)|~old(X))))&
(![X]:(~humble(X)<=>kind(X)))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((calm(X)<~>~generous(X))=>(curious(X)|~creative(X))))&
(((~wise(paul)|happy(paul)))<=>(curious(mary)))&
(((~wise(fred)<~>~creat... | ~calm(susan) | [
"p2",
"p3",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4869991927077333712986927
% SZS output start Proof for 4869991927077333712986927
3. ! [X0] : (~humble(X0) <=> kind(X0)) [input p2]
4. ! [X0] : (~calm(X0) <=> ~humble(X0)) [input p3]
9. ? [X0] : (calm(X0) <~> ~brave(X0)) <=> ~kind(susan) [input p8]
19. ~tall(susan) & ~brave(susan) [input p... | 0 |
If lucy is both not tall and not creative then fred is not rich or not kind and vice versa. Everyone who is patient is not funny and vice versa. If lucy is both not patient and old then fred is not brave. If someone is not kind then john is both wise and old. Everyone who is not quiet or strong is quiet or not creative... | Fred is not rich. | neutral | (((~tall(lucy)&~creative(lucy)))<=>((~rich(fred)|~kind(fred))))&
(![X]:(patient(X)<=>~funny(X)))&
(((~patient(lucy)&old(lucy)))=>(~brave(fred)))&
((?[X]:(~kind(X)))=>((wise(john)&old(john))))&
(![X]:((~quiet(X)|strong(X))<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)<=>strong(X)))&
(![X]:((~strong(X)|old(X))<=>~kind(X... | ~rich(fred) | [] | null | 0 |
If someone is kind then john is not brave or not tall and vice versa. Everyone who is rich or not happy is both not kind and brave and vice versa. Everyone who is not wise is either not tall or not creative and vice versa. If alice is both not brave and wise then susan is calm or funny. If someone is both old and not c... | Susan is patient. | contradiction | ((?[X]:(kind(X)))<=>((~brave(john)|~tall(john))))&
(![X]:((rich(X)|~happy(X))<=>(~kind(X)&brave(X))))&
(![X]:(~wise(X)<=>(~tall(X)<~>~creative(X))))&
(((~brave(alice)&wise(alice)))=>((calm(susan)|funny(susan))))&
((?[X]:((old(X)&~creative(X))))=>((~curious(fred)|~creative(fred))))&
((?[X]:((~brave(X)&rich(X))))=>(?[X]:... | patient(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8367730100784258632928336
% SZS output start Proof for 8367730100784258632928336
17. tall(susan) & ~patient(susan) [input p16]
24. patient(susan) [input hypothesis]
108. ~patient(susan) [cnf transformation 17]
121. patient(susan) [cnf transformation 24]
265. $false [subsumption resolution... | 0 |
If fred is not tall or rich then someone is both not humble and wise and vice versa. Everyone who is both quiet and not patient is both wise and brave and vice versa. Everyone who is either not kind or not funny is either not strong or not creative. If paul is both old and not calm then susan is humble. Everyone who is... | Susan is creative. | contradiction | (((~tall(fred)|rich(fred)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((quiet(X)&~patient(X))<=>(wise(X)&brave(X))))&
(![X]:((~kind(X)<~>~funny(X))=>(~strong(X)<~>~creative(X))))&
(((old(paul)&~calm(paul)))=>(humble(susan)))&
(![X]:((funny(X)<~>~brave(X))<=>~curious(X)))&
((?[X]:((~generous(X)&~wise(X))))<=>(?[X]:((~humb... | creative(susan) | [
"p4",
"p7",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 493646061150657133132995
% SZS output start Proof for 493646061150657133132995
5. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> ~curious(X0)) [input p4]
8. ? [X0] : (calm(X0) | ~quiet(X0)) => brave(paul) [input p7]
9. ! [X0] : ((funny(X0) & curious(X0)) <=> (patient(X0) <~> generous(X0))) [inp... | 0 |
If someone is both rich and funny then someone is not funny.
Everyone who is not kind is either rich or humble and vice versa.
Everyone who is kind is not wise or not tall and vice versa.
Everyone who is humble is not rich or old.
If john is not rich then someone is either not old or patient and vice versa.
If mary is ... | Mary is not creative. | contradiction | ((?[X]:((rich(X)&funny(X))))=>(?[X]:(~funny(X))))&
(![X]:(~kind(X)<=>(rich(X)<~>humble(X))))&
(![X]:(kind(X)<=>(~wise(X)|~tall(X))))&
(![X]:(humble(X)=>(~rich(X)|old(X))))&
((~rich(john))<=>(?[X]:((~old(X)<~>patient(X)))))&
(((~rich(mary)|curious(mary)))=>((~patient(alice)<~>~funny(alice))))&
(![X]:((funny(X)<~>strong(... | ~creative(mary) | [
"p2",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4365802030051252448591528
% SZS output start Proof for 4365802030051252448591528
3. ! [X0] : (kind(X0) <=> (~tall(X0) | ~wise(X0))) [input p2]
10. ! [X0] : ((~funny(X0) <~> tall(X0)) => (kind(X0) & funny(X0))) [input p9]
12. ! [X0] : (~kind(X0) <=> (happy(X0) & ~humble(X0))) [input p11]
1... | 0 |
If lucy is both not kind and not calm then lucy is either not tall or not funny and vice versa. Everyone who is either not rich or funny is not curious. Everyone who is either generous or not curious is either not creative or not curious and vice versa. If john is either not happy or quiet then someone is either not ha... | Mary is rich. | neutral | (((~kind(lucy)&~calm(lucy)))<=>((~tall(lucy)<~>~funny(lucy))))&
(![X]:((~rich(X)<~>funny(X))=>~curious(X)))&
(![X]:((generous(X)<~>~curious(X))<=>(~creative(X)<~>~curious(X))))&
(((~happy(john)<~>quiet(john)))=>(?[X]:((~happy(X)<~>~funny(X)))))&
((?[X]:(~creative(X)))=>((~funny(mary)<~>rich(mary))))&
(![X]:((brave(X)&~... | rich(mary) | [] | null | 0 |
Everyone who is not strong or not funny is either not patient or not curious and vice versa.
If someone is either not patient or not old then someone is either quiet or rich and vice versa.
Everyone who is strong or curious is both not wise and not brave.
Everyone who is not funny is both not generous and quiet and vic... | Fred is not curious. | neutral | (![X]:((~strong(X)|~funny(X))<=>(~patient(X)<~>~curious(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(![X]:((strong(X)|curious(X))=>(~wise(X)&~brave(X))))&
(![X]:(~funny(X)<=>(~generous(X)&quiet(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((calm(susan)<~>rich(susan))))&
((?[X]:((~calm(X)<~>c... | ~curious(fred) | [] | null | 0 |
Everyone who is both not curious and strong is funny. If someone is either kind or happy then someone is kind and vice versa. Everyone who is not patient is not old and vice versa. Everyone who is funny is either strong or humble and vice versa. Everyone who is generous or not calm is either not funny or not kind. If s... | Fred is funny. | contradiction | (![X]:((~curious(X)&strong(X))=>funny(X)))&
((?[X]:((kind(X)<~>happy(X))))<=>(?[X]:(kind(X))))&
(![X]:(~patient(X)<=>~old(X)))&
(![X]:(funny(X)<=>(strong(X)<~>humble(X))))&
(![X]:((generous(X)|~calm(X))=>(~funny(X)<~>~kind(X))))&
((?[X]:((~calm(X)|~happy(X))))<=>((wise(paul)|~curious(paul))))&
(![X]:(humble(X)=>(patien... | funny(fred) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1183952993339433186295901
% SZS output start Proof for 1183952993339433186295901
3. ! [X0] : (~patient(X0) <=> ~old(X0)) [input p2]
8. ! [X0] : ((wise(X0) | ~old(X0)) => (quiet(X0) & ~funny(X0))) [input p7]
9. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~calm(X0) | patient(X0))) [input p8]... | 0 |
Everyone who is not humble or not kind is both not strong and not creative. Everyone who is calm or old is strong or not quiet. Everyone who is old or not tall is either kind or wise. Everyone who is either not calm or not happy is either not kind or happy and vice versa. Everyone who is old or not generous is not stro... | Mary is curious. | neutral | (![X]:((~humble(X)|~kind(X))=>(~strong(X)&~creative(X))))&
(![X]:((calm(X)|old(X))=>(strong(X)|~quiet(X))))&
(![X]:((old(X)|~tall(X))=>(kind(X)<~>wise(X))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((old(X)|~generous(X))<=>(~strong(X)|~brave(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(old(X)|tall(X)... | curious(mary) | [] | null | 0 |
Everyone who is not wise is not rich or humble.
Everyone who is not generous is both not tall and not quiet and vice versa.
Everyone who is not patient or not creative is not curious and vice versa.
Everyone who is humble or not brave is kind and vice versa.
If someone is strong then someone is both wise and not wise.
... | Alice is not generous. | neutral | (![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(![X]:(~generous(X)<=>(~tall(X)&~quiet(X))))&
(![X]:((~patient(X)|~creative(X))<=>~curious(X)))&
(![X]:((humble(X)|~brave(X))<=>kind(X)))&
((?[X]:(strong(X)))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~creative(X)&funny(X))<=>strong(X)))&
((calm(fred))=>((~generous(lucy)<~>generous... | ~generous(alice) | [] | null | 0 |
If john is not quiet then alice is not tall and vice versa. If someone is generous or humble then someone is not kind and vice versa. Everyone who is not funny or wise is happy or not creative. Everyone who is rich or brave is either humble or not calm. If mary is not humble then someone is generous and vice versa. Eve... | Paul is quiet. | entailment | ((~quiet(john))<=>(~tall(alice)))&
((?[X]:((generous(X)|humble(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~funny(X)|wise(X))=>(happy(X)|~creative(X))))&
(![X]:((rich(X)|brave(X))=>(humble(X)<~>~calm(X))))&
((~humble(mary))<=>(?[X]:(generous(X))))&
(![X]:((~kind(X)|funny(X))<=>(creative(X)|~wise(X))))&
(![X]:((~strong(X)&~quie... | quiet(paul) | [
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5353275158957102686448317
% SZS output start Proof for 5353275158957102686448317
7. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> (~brave(X0) & ~kind(X0))) [input p6]
10. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> ~wise(X0)) [input p9]
12. ! [X0] : ((~tall(X0) | ~brave(X0)) <=> (patient(X0) & qu... | 0 |
If susan is both generous and old then someone is kind and vice versa.
Everyone who is not old is funny.
If someone is not kind then someone is wise.
Everyone who is both wise and not curious is either not strong or old and vice versa.
If someone is either not happy or not generous then fred is either not patient or ca... | Paul is not rich. | neutral | (((generous(susan)&old(susan)))<=>(?[X]:(kind(X))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:(~kind(X)))=>(?[X]:(wise(X))))&
(![X]:((wise(X)&~curious(X))<=>(~strong(X)<~>old(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((~patient(fred)<~>calm(fred))))&
((?[X]:((~rich(X)|quiet(X))))<=>(?[X]:((tall(X)<~>~strong(X)))))&
((?[X... | ~rich(paul) | [] | null | 0 |
Everyone who is patient is not funny and vice versa.
If someone is calm or brave then someone is not curious or not calm and vice versa.
Everyone who is not quiet is either not wise or not patient and vice versa.
Everyone who is happy or curious is either curious or not wise and vice versa.
Everyone who is either not c... | Fred is funny. | entailment | (![X]:(patient(X)<=>~funny(X)))&
((?[X]:((calm(X)|brave(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:(~quiet(X)<=>(~wise(X)<~>~patient(X))))&
(![X]:((happy(X)|curious(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)<~>strong(X))<=>(tall(X)|curious(X))))&
(((~old(paul)<~>~humble(paul)))<=>(?[X]:((~happy(X)&~generous... | funny(fred) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7918584405769569820835434
% SZS output start Proof for 7918584405769569820835434
1. ! [X0] : (patient(X0) <=> ~funny(X0)) [input p0]
3. ! [X0] : (~quiet(X0) <=> (~wise(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : ((curious(X0) | happy(X0)) <=> (curious(X0) <~> ~wise(X0))) [input p3]
5. !... | 0 |
Everyone who is either happy or rich is tall or not wise and vice versa.
Everyone who is not kind is not tall or generous and vice versa.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is either humble or quiet and vice versa.
Everyone who is wise or not curious is eit... | Fred is not curious. | entailment | (![X]:((happy(X)<~>rich(X))<=>(tall(X)|~wise(X))))&
(![X]:(~kind(X)<=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curious(X))<=>(~wise(X)<~>humble(X))))&
(![X]:(wise(X)=>(~strong(X)&rich(X))))&
((?[X]:(~calm(X)... | ~curious(fred) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1946422523917235217713584
% SZS output start Proof for 1946422523917235217713584
1. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (~wise(X0) | tall(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~wise(X0) <~> humble(X0))) [input p4]
6. ! [X0] : (wise(X0) => (rich(X0) & ~strong(X0))... | 0 |
If someone is either humble or generous then someone is both brave and old and vice versa.
If paul is both old and quiet then lucy is kind or creative and vice versa.
If someone is both happy and tall then mary is not wise or funny and vice versa.
If susan is both not rich and not humble then someone is quiet or strong... | Paul is not creative. | entailment | ((?[X]:((humble(X)<~>generous(X))))<=>(?[X]:((brave(X)&old(X)))))&
(((old(paul)&quiet(paul)))<=>((kind(lucy)|creative(lucy))))&
((?[X]:((happy(X)&tall(X))))<=>((~wise(mary)|funny(mary))))&
(((~rich(susan)&~humble(susan)))=>(?[X]:((quiet(X)|strong(X)))))&
(![X]:(~rich(X)<=>(~happy(X)<~>calm(X))))&
(![X]:((~rich(X)&~wise... | ~creative(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8304032169961145832349979
% SZS output start Proof for 8304032169961145832349979
21. ~creative(paul) & ~humble(paul) [input p20]
25. creative(paul) [input hypothesis]
165. ~creative(paul) [cnf transformation 21]
170. creative(paul) [cnf transformation 25]
433. $false [subsumption resoluti... | 0 |
If someone is either not old or quiet then someone is either not kind or wise.
Everyone who is patient is both not patient and quiet and vice versa.
If paul is strong then someone is strong.
Everyone who is old or not quiet is both curious and not brave.
If paul is either wise or not old then fred is tall.
Everyone who... | Paul is happy. | contradiction | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(![X]:(patient(X)<=>(~patient(X)&quiet(X))))&
((strong(paul))=>(?[X]:(strong(X))))&
(![X]:((old(X)|~quiet(X))=>(curious(X)&~brave(X))))&
(((wise(paul)<~>~old(paul)))=>(tall(fred)))&
(![X]:((~quiet(X)&~patient(X))=>(~tall(X)&old(X))))&
(![X]:((~quiet(X)&qui... | happy(paul) | [
"p1",
"p3",
"p6",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4158265701598599811437775
% SZS output start Proof for 4158265701598599811437775
2. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) | old(X0)) => (~brave(X0) & curious(X0))) [input p3]
7. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~generous(X0) <~> ~... | 0 |
If someone is rich then lucy is either not kind or not humble and vice versa.
Everyone who is not quiet is rich or curious and vice versa.
If someone is generous then someone is either wise or rich and vice versa.
If someone is wise then paul is both not strong and kind and vice versa.
Everyone who is happy is either n... | Susan is not wise. | entailment | ((?[X]:(rich(X)))<=>((~kind(lucy)<~>~humble(lucy))))&
(![X]:(~quiet(X)<=>(rich(X)|curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:(wise(X)))<=>((~strong(paul)&kind(paul))))&
(![X]:(happy(X)=>(~rich(X)<~>creative(X))))&
(((~generous(mary)&brave(mary)))=>((calm(paul)<~>happy(paul))))&
(![X]:(... | ~wise(susan) | [
"p1",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5261354341826149208942882
% SZS output start Proof for 5261354341826149208942882
2. ! [X0] : (~quiet(X0) <=> (curious(X0) | rich(X0))) [input p1]
4. ? [X0] : wise(X0) <=> (kind(paul) & ~strong(paul)) [input p3]
7. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (~patient(X0) <~> patient(X0))) [i... | 0 |
If someone is not happy then someone is both not old and not brave and vice versa.
Everyone who is both wise and quiet is not kind or funny.
Everyone who is not kind is both not creative and not generous and vice versa.
If paul is both not curious and curious then someone is not brave.
If mary is not kind or not calm t... | Mary is not calm. | entailment | ((?[X]:(~happy(X)))<=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((wise(X)&quiet(X))=>(~kind(X)|funny(X))))&
(![X]:(~kind(X)<=>(~creative(X)&~generous(X))))&
(((~curious(paul)&curious(paul)))=>(?[X]:(~brave(X))))&
(((~kind(mary)|~calm(mary)))=>((funny(john)<~>patient(john))))&
((?[X]:(patient(X)))=>((~kind(john)|~creative(jo... | ~calm(mary) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4076356140325377151289922
% SZS output start Proof for 4076356140325377151289922
17. ~generous(mary) & ~calm(mary) [input p16]
25. calm(mary) [input hypothesis]
137. ~calm(mary) [cnf transformation 17]
150. calm(mary) [cnf transformation 25]
173. 6 <=> calm(mary) [avatar definition]
366. ... | 0 |
Everyone who is both humble and not creative is either creative or not wise and vice versa.
Everyone who is either not creative or kind is not calm.
Everyone who is generous or quiet is kind and vice versa.
If someone is wise or not wise then someone is not humble or not wise and vice versa.
If someone is not calm then... | Fred is funny. | contradiction | (![X]:((humble(X)&~creative(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((~creative(X)<~>kind(X))=>~calm(X)))&
(![X]:((generous(X)|quiet(X))<=>kind(X)))&
((?[X]:((wise(X)|~wise(X))))<=>(?[X]:((~humble(X)|~wise(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(strong(X))))&
(![X]:((~quiet(X)&brave(X))=>~tall(X)))&
(![X]:((~humble(X)&~cre... | funny(fred) | [
"p2",
"p6",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5414033895550697380150173
% SZS output start Proof for 5414033895550697380150173
3. ! [X0] : ((quiet(X0) | generous(X0)) <=> kind(X0)) [input p2]
7. ! [X0] : ((~creative(X0) & ~humble(X0)) <=> ~funny(X0)) [input p6]
9. ? [X0] : (kind(X0) & ~wise(X0)) <=> ? [X0] : (curious(X0) & ~rich(X0))... | 0 |
Everyone who is not brave is funny or not quiet.
If fred is both calm and not funny then someone is either generous or not tall and vice versa.
Everyone who is tall or brave is not quiet and vice versa.
Everyone who is either not patient or not rich is brave.
Everyone who is both not funny and patient is both not calm ... | John is not funny. | neutral | (![X]:(~brave(X)=>(funny(X)|~quiet(X))))&
(((calm(fred)&~funny(fred)))<=>(?[X]:((generous(X)<~>~tall(X)))))&
(![X]:((tall(X)|brave(X))<=>~quiet(X)))&
(![X]:((~patient(X)<~>~rich(X))=>brave(X)))&
(![X]:((~funny(X)&patient(X))=>(~calm(X)&~tall(X))))&
((?[X]:((~quiet(X)<~>patient(X))))<=>((wise(susan)&~old(susan))))&
(![X... | ~funny(john) | [] | null | 0 |
If lucy is either strong or funny then someone is creative or tall and vice versa.
If someone is either not generous or not funny then mary is not brave.
If someone is happy then alice is humble or happy and vice versa.
If fred is both calm and strong then fred is both wise and not calm.
Everyone who is either not calm... | Susan is kind. | contradiction | (((strong(lucy)<~>funny(lucy)))<=>(?[X]:((creative(X)|tall(X)))))&
((?[X]:((~generous(X)<~>~funny(X))))=>(~brave(mary)))&
((?[X]:(happy(X)))<=>((humble(alice)|happy(alice))))&
(((calm(fred)&strong(fred)))=>((wise(fred)&~calm(fred))))&
(![X]:((~calm(X)<~>quiet(X))=>(old(X)&~humble(X))))&
(![X]:((~kind(X)<~>tall(X))=>(ol... | kind(susan) | [
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4350087269291311513772693
% SZS output start Proof for 4350087269291311513772693
6. ! [X0] : ((~kind(X0) <~> tall(X0)) => (old(X0) <~> ~wise(X0))) [input p5]
8. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> (~brave(X0) & tall(X0))) [input p7]
10. ! [X0] : ((kind(X0) & tall(X0)) <=> (wise(X0) <~>... | 0 |
Everyone who is quiet is both brave and not funny and vice versa. If susan is both brave and not generous then fred is either patient or wise. Everyone who is either not tall or not kind is both not rich and not funny and vice versa. Everyone who is either strong or not happy is either not creative or not tall and vice... | Paul is funny. | entailment | (![X]:(quiet(X)<=>(brave(X)&~funny(X))))&
(((brave(susan)&~generous(susan)))=>((patient(fred)<~>wise(fred))))&
(![X]:((~tall(X)<~>~kind(X))<=>(~rich(X)&~funny(X))))&
(![X]:((strong(X)<~>~happy(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((~old(X)&old(X))<=>(old(X)&kind(X))))&
(![X]:((~generous(X)|~patient(X))=>funny(X)))&... | funny(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3962382193264247773409788
% SZS output start Proof for 3962382193264247773409788
20. ~quiet(paul) & funny(paul) [input p19]
25. ~funny(paul) [input hypothesis]
152. funny(paul) [cnf transformation 20]
160. ~funny(paul) [cnf transformation 25]
362. $false [subsumption resolution 160,152]
%... | 0 |
If alice is not funny or not calm then someone is rich or humble. If john is both not patient and generous then paul is either creative or wise and vice versa. If someone is not strong then someone is either happy or calm. Everyone who is humble or not humble is both not creative and curious. Everyone who is patient is... | Alice is not funny. | contradiction | (((~funny(alice)|~calm(alice)))=>(?[X]:((rich(X)|humble(X)))))&
(((~patient(john)&generous(john)))<=>((creative(paul)<~>wise(paul))))&
((?[X]:(~strong(X)))=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((humble(X)|~humble(X))=>(~creative(X)&curious(X))))&
(![X]:(patient(X)<=>(~old(X)<~>~creative(X))))&
(![X]:((strong(X)|happy... | ~funny(alice) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5096587096700675448305225
% SZS output start Proof for 5096587096700675448305225
4. ! [X0] : ((~humble(X0) | humble(X0)) => (curious(X0) & ~creative(X0))) [input p3]
6. ! [X0] : ((happy(X0) | strong(X0)) <=> (~happy(X0) | strong(X0))) [input p5]
8. ! [X0] : (~strong(X0) <=> (funny(X0) <~>... | 0 |
Everyone who is either funny or not happy is kind and vice versa. Everyone who is strong is both not tall and funny and vice versa. Everyone who is both brave and funny is both generous and not kind and vice versa. If paul is either not wise or old then someone is not funny or not rich. Everyone who is quiet or not hum... | Alice is not tall. | entailment | (![X]:((funny(X)<~>~happy(X))<=>kind(X)))&
(![X]:(strong(X)<=>(~tall(X)&funny(X))))&
(![X]:((brave(X)&funny(X))<=>(generous(X)&~kind(X))))&
(((~wise(paul)<~>old(paul)))=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((quiet(X)|~humble(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((tall(X)|~tall(X))))<=>(?[X]:(~happy(X))))&
(((~genero... | ~tall(alice) | [
"p1",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3548837994433694911875495
% SZS output start Proof for 3548837994433694911875495
2. ! [X0] : (strong(X0) <=> (funny(X0) & ~tall(X0))) [input p1]
13. ! [X0] : ((calm(X0) | ~humble(X0)) <=> strong(X0)) [input p12]
20. old(alice) & ~humble(alice) [input p19]
24. tall(alice) [input hypothesis... | 0 |
Everyone who is funny is patient. Everyone who is both not calm and not creative is both brave and rich and vice versa. Everyone who is not generous or not kind is not humble. Everyone who is either happy or not quiet is not tall. Everyone who is not funny is kind. If someone is not strong or not kind then someone is w... | Fred is curious. | entailment | (![X]:(funny(X)=>patient(X)))&
(![X]:((~calm(X)&~creative(X))<=>(brave(X)&rich(X))))&
(![X]:((~generous(X)|~kind(X))=>~humble(X)))&
(![X]:((happy(X)<~>~quiet(X))=>~tall(X)))&
(![X]:(~funny(X)=>kind(X)))&
((?[X]:((~strong(X)|~kind(X))))<=>(?[X]:((wise(X)|~funny(X)))))&
((?[X]:(strong(X)))<=>(?[X]:((~generous(X)|~creativ... | curious(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 72473529635987344504566
% SZS output start Proof for 72473529635987344504566
17. curious(fred) [input p16]
24. ~curious(fred) [input hypothesis]
123. curious(fred) [cnf transformation 17]
131. ~curious(fred) [cnf transformation 24]
255. 29 <=> curious(fred) [avatar definition]
281. 29 [av... | 0 |
If lucy is both not calm and not humble then alice is not kind and vice versa.
Everyone who is either brave or not old is quiet and vice versa.
If john is both happy and rich then someone is not humble or funny and vice versa.
If paul is not funny or creative then alice is both not curious and not strong and vice versa... | Alice is wise. | entailment | (((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
(((happy(john)&rich(john)))<=>(?[X]:((~humble(X)|funny(X)))))&
(((~funny(paul)|creative(paul)))<=>((~curious(alice)&~strong(alice))))&
(![X]:((patient(X)&~tall(X))<=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|wise(X))=>(~quiet(X)... | wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6238978569355125828508347
% SZS output start Proof for 6238978569355125828508347
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p1]
3. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humble(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(... | 0 |
Everyone who is either not old or creative is not creative or strong and vice versa.
Everyone who is not happy or not old is not funny and vice versa.
If someone is generous or not brave then someone is generous.
Everyone who is curious or kind is either not brave or not quiet and vice versa.
Everyone who is both not c... | Alice is not humble. | entailment | (![X]:((~old(X)<~>creative(X))<=>(~creative(X)|strong(X))))&
(![X]:((~happy(X)|~old(X))<=>~funny(X)))&
((?[X]:((generous(X)|~brave(X))))=>(?[X]:(generous(X))))&
(![X]:((curious(X)|kind(X))<=>(~brave(X)<~>~quiet(X))))&
(![X]:((~calm(X)&patient(X))<=>(quiet(X)|generous(X))))&
(((patient(alice)|happy(alice)))=>((~funny(su... | ~humble(alice) | [
"p0",
"p1",
"p4",
"p7",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8112367658113121614665205
% SZS output start Proof for 8112367658113121614665205
1. ! [X0] : ((~old(X0) <~> creative(X0)) <=> (strong(X0) | ~creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~happy(X0)) <=> ~funny(X0)) [input p1]
5. ! [X0] : ((patient(X0) & ~calm(X0)) <=> (generous(X0) |... | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Paul is not wise. | entailment | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | ~wise(paul) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9000698110885262883610719
% SZS output start Proof for 9000698110885262883610719
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ... | 0 |
Everyone who is not quiet or not brave is both brave and not strong and vice versa.
If mary is either rich or curious then someone is both generous and rich.
Everyone who is wise or not kind is not rich or creative and vice versa.
If someone is both not happy and calm then someone is both not old and humble and vice ve... | John is not brave. | contradiction | (![X]:((~quiet(X)|~brave(X))<=>(brave(X)&~strong(X))))&
(((rich(mary)<~>curious(mary)))=>(?[X]:((generous(X)&rich(X)))))&
(![X]:((wise(X)|~kind(X))<=>(~rich(X)|creative(X))))&
((?[X]:((~happy(X)&calm(X))))<=>(?[X]:((~old(X)&humble(X)))))&
(![X]:(brave(X)=>(~patient(X)|~funny(X))))&
(((~tall(fred)&quiet(fred)))<=>((~old... | ~brave(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7507709777819596368102092
% SZS output start Proof for 7507709777819596368102092
1. ! [X0] : ((~brave(X0) | ~quiet(X0)) <=> (~strong(X0) & brave(X0))) [input p0]
21. ~brave(john) [input hypothesis]
35. ! [X0] : (((~brave(X0) | ~quiet(X0)) | (strong(X0) | ~brave(X0))) & ((~strong(X0) & bra... | 0 |
If someone is both not curious and happy then lucy is not humble or humble. Everyone who is not calm is either not humble or not happy and vice versa. If someone is curious or happy then susan is both not generous and generous and vice versa. If someone is funny or not happy then someone is not strong and vice versa. E... | Alice is brave. | neutral | ((?[X]:((~curious(X)&happy(X))))=>((~humble(lucy)|humble(lucy))))&
(![X]:(~calm(X)<=>(~humble(X)<~>~happy(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~generous(susan)&generous(susan))))&
((?[X]:((funny(X)|~happy(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~funny(X)&~generous(X))<=>(humble(X)&generous(X))))&
((~rich(paul))=>(~... | brave(alice) | [] | null | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa.
Everyone who is both not calm and creative is both not happy and not patient and vice versa.
Everyone who is not tall or not calm is either not strong or curious and vice versa.
If alice is strong or happy then someone is not tall or... | Paul is happy. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~strong(X)<~>curious(X))))&
(((strong(alice)|happy(alice)))<=>(?[X]:((~tall(X)|~humble(X)))))&
(((~creative(paul)&~generous(paul)))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]... | happy(paul) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9216750329319185088441257
% SZS output start Proof for 9216750329319185088441257
2. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~patient(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((patient(X0) | rich(X0)) => (~humble(X0) & humble(X0))) [input p5]
14. ! [X0] : ((funny(X0) | creative(X0)) <=>... | 0 |
If john is not curious or not happy then fred is either brave or calm and vice versa. If someone is not patient or not quiet then someone is either not funny or humble. Everyone who is either calm or not calm is brave or not curious and vice versa. If alice is not creative or not strong then someone is not wise or not ... | Lucy is generous. | contradiction | (((~curious(john)|~happy(john)))<=>((brave(fred)<~>calm(fred))))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:((~funny(X)<~>humble(X)))))&
(![X]:((calm(X)<~>~calm(X))<=>(brave(X)|~curious(X))))&
(((~creative(alice)|~strong(alice)))<=>(?[X]:((~wise(X)|~old(X)))))&
(![X]:((~quiet(X)&~calm(X))=>(~wise(X)|happy(X))))&
(![X]:(... | generous(lucy) | [
"p2",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4458244934933823839876862
% SZS output start Proof for 4458244934933823839876862
3. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (~curious(X0) | brave(X0))) [input p2]
13. ! [X0] : (brave(X0) <=> ~generous(X0)) [input p12]
22. curious(lucy) [input p21]
25. generous(lucy) [input hypothesis]
46. ... | 0 |
If someone is either quiet or not wise then someone is either happy or not brave and vice versa.
Everyone who is not kind is generous.
Everyone who is either old or funny is not generous or tall.
If someone is either not tall or kind then someone is not curious and vice versa.
Everyone who is both strong and not brave ... | Lucy is not humble. | neutral | ((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~brave(X)))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((old(X)<~>funny(X))=>(~generous(X)|tall(X))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(~curious(X))))&
(![X]:((strong(X)&~brave(X))=>(~happy(X)&~patient(X))))&
(((~rich(john)<~>creative(john)))=>(?[X]:((kind(X)<~>... | ~humble(lucy) | [] | null | 0 |
Everyone who is either not calm or brave is generous or funny and vice versa. Everyone who is not creative is not calm and vice versa. Everyone who is either kind or not calm is creative and vice versa. If someone is not quiet then john is not tall or quiet and vice versa. Everyone who is either not old or rich is not ... | Lucy is not brave. | entailment | (![X]:((~calm(X)<~>brave(X))<=>(generous(X)|funny(X))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((kind(X)<~>~calm(X))<=>creative(X)))&
((?[X]:(~quiet(X)))<=>((~tall(john)|quiet(john))))&
(![X]:((~old(X)<~>rich(X))<=>~tall(X)))&
(![X]:((humble(X)<~>~rich(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~calm(X)|~creative(X))=>~t... | ~brave(lucy) | [
"p0",
"p1",
"p6",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8546153955553860318564026
% SZS output start Proof for 8546153955553860318564026
1. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> (funny(X0) | generous(X0))) [input p0]
2. ! [X0] : (~creative(X0) <=> ~calm(X0)) [input p1]
7. ! [X0] : ((~creative(X0) | ~calm(X0)) => ~tall(X0)) [input p6]
9. ! [X... | 0 |
Everyone who is creative is either not calm or patient.
If someone is funny then someone is strong or kind and vice versa.
Everyone who is either quiet or calm is either rich or not generous.
If someone is not tall then john is brave.
If someone is wise then someone is funny.
Everyone who is both curious and not tall i... | Fred is not rich. | entailment | (![X]:(creative(X)=>(~calm(X)<~>patient(X))))&
((?[X]:(funny(X)))<=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((quiet(X)<~>calm(X))=>(rich(X)<~>~generous(X))))&
((?[X]:(~tall(X)))=>(brave(john)))&
((?[X]:(wise(X)))=>(?[X]:(funny(X))))&
(![X]:((curious(X)&~tall(X))<=>rich(X)))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((patie... | ~rich(fred) | [
"p3",
"p5",
"p7",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 253933599919885486374016
% SZS output start Proof for 253933599919885486374016
4. ? [X0] : ~tall(X0) => brave(john) [input p3]
6. ! [X0] : ((~tall(X0) & curious(X0)) <=> rich(X0)) [input p5]
8. (happy(fred) & ~brave(fred)) <=> ? [X0] : brave(X0) [input p7]
10. ! [X0] : ((curious(X0) <~> ~... | 0 |
Everyone who is not generous is both not funny and not rich.
If mary is either not quiet or not brave then someone is either wise or not funny.
Everyone who is both humble and strong is both old and not humble and vice versa.
Everyone who is not generous or not tall is not wise or old and vice versa.
Everyone who is no... | Alice is creative. | neutral | (![X]:(~generous(X)=>(~funny(X)&~rich(X))))&
(((~quiet(mary)<~>~brave(mary)))=>(?[X]:((wise(X)<~>~funny(X)))))&
(![X]:((humble(X)&strong(X))<=>(old(X)&~humble(X))))&
(![X]:((~generous(X)|~tall(X))<=>(~wise(X)|old(X))))&
(![X]:((~kind(X)|brave(X))=>(~strong(X)<~>~brave(X))))&
(![X]:(~calm(X)=>(~calm(X)&wise(X))))&
(![X]... | creative(alice) | [] | null | 0 |
Everyone who is both not funny and not rich is curious or not calm. Everyone who is wise is either not patient or not happy and vice versa. If mary is not curious or not creative then paul is either humble or not quiet. Everyone who is either old or not calm is humble and vice versa. Everyone who is either not funny or... | Paul is wise. | neutral | (![X]:((~funny(X)&~rich(X))=>(curious(X)|~calm(X))))&
(![X]:(wise(X)<=>(~patient(X)<~>~happy(X))))&
(((~curious(mary)|~creative(mary)))=>((humble(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>~calm(X))<=>humble(X)))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)<~>creative(X))))&
(![X]:((strong(X)<~>wise(X))=>old(X)))&
(![X]... | wise(paul) | [] | null | 0 |
Everyone who is creative or not patient is both not generous and calm.
Everyone who is creative or not quiet is both happy and quiet and vice versa.
Everyone who is not generous is calm or not wise.
If susan is not wise then someone is not tall and vice versa.
If someone is either kind or humble then someone is not str... | Lucy is not old. | neutral | (![X]:((creative(X)|~patient(X))=>(~generous(X)&calm(X))))&
(![X]:((creative(X)|~quiet(X))<=>(happy(X)&quiet(X))))&
(![X]:(~generous(X)=>(calm(X)|~wise(X))))&
((~wise(susan))<=>(?[X]:(~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(~creative(X)<=>(generous(X)&~creative(X))))&
((?... | ~old(lucy) | [] | null | 0 |
If someone is either strong or happy then fred is not calm and vice versa.
If someone is rich then someone is both not funny and strong and vice versa.
Everyone who is not curious is either not kind or happy and vice versa.
Everyone who is not quiet or not humble is wise.
If someone is either not happy or calm then som... | Lucy is curious. | neutral | ((?[X]:((strong(X)<~>happy(X))))<=>(~calm(fred)))&
((?[X]:(rich(X)))<=>(?[X]:((~funny(X)&strong(X)))))&
(![X]:(~curious(X)<=>(~kind(X)<~>happy(X))))&
(![X]:((~quiet(X)|~humble(X))=>wise(X)))&
((?[X]:((~happy(X)<~>calm(X))))=>(?[X]:((kind(X)|creative(X)))))&
((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((calm(X)&brave(X))))... | curious(lucy) | [] | null | 0 |
Everyone who is rich is both wise and generous and vice versa.
Everyone who is generous is both calm and creative.
Everyone who is either not kind or not quiet is both kind and not brave.
If john is either not quiet or rich then fred is quiet and vice versa.
If paul is either not generous or tall then mary is brave or ... | Mary is curious. | neutral | (![X]:(rich(X)<=>(wise(X)&generous(X))))&
(![X]:(generous(X)=>(calm(X)&creative(X))))&
(![X]:((~kind(X)<~>~quiet(X))=>(kind(X)&~brave(X))))&
(((~quiet(john)<~>rich(john)))<=>(quiet(fred)))&
(((~generous(paul)<~>tall(paul)))=>((brave(mary)|curious(mary))))&
(((~funny(mary)&~wise(mary)))<=>((generous(alice)|calm(alice)))... | curious(mary) | [] | null | 0 |
Everyone who is creative is strong or not creative and vice versa.
Everyone who is either not creative or tall is not quiet.
Everyone who is either not happy or quiet is not generous or not funny and vice versa.
If someone is both quiet and not curious then mary is not old and vice versa.
If alice is not kind or kind t... | Lucy is not curious. | contradiction | (![X]:(creative(X)<=>(strong(X)|~creative(X))))&
(![X]:((~creative(X)<~>tall(X))=>~quiet(X)))&
(![X]:((~happy(X)<~>quiet(X))<=>(~generous(X)|~funny(X))))&
((?[X]:((quiet(X)&~curious(X))))<=>(~old(mary)))&
(((~kind(alice)|kind(alice)))=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:(~tall(X)<=>(happy(X)|~brave(X))))&
(![X]... | ~curious(lucy) | [
"p5",
"p6",
"p8",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 594096949159654435091758
% SZS output start Proof for 594096949159654435091758
6. ! [X0] : (~tall(X0) <=> (~brave(X0) | happy(X0))) [input p5]
7. ! [X0] : ((~curious(X0) & happy(X0)) <=> (rich(X0) | kind(X0))) [input p6]
9. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (curious(X0) & wise(X0)))... | 0 |
Everyone who is either not tall or not wise is either humble or generous and vice versa. If alice is either brave or not kind then fred is either tall or not humble. If someone is not patient then someone is not old and vice versa. If someone is both patient and strong then mary is both not patient and humble. Everyone... | Paul is not happy. | contradiction | (![X]:((~tall(X)<~>~wise(X))<=>(humble(X)<~>generous(X))))&
(((brave(alice)<~>~kind(alice)))=>((tall(fred)<~>~humble(fred))))&
((?[X]:(~patient(X)))<=>(?[X]:(~old(X))))&
((?[X]:((patient(X)&strong(X))))=>((~patient(mary)&humble(mary))))&
(![X]:((~rich(X)&happy(X))<=>(quiet(X)&~humble(X))))&
(![X]:(humble(X)=>(happy(X)&... | ~happy(paul) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 16606364298563898945233
% SZS output start Proof for 16606364298563898945233
5. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (~humble(X0) & quiet(X0))) [input p4]
6. ! [X0] : (humble(X0) => (~happy(X0) & happy(X0))) [input p5]
9. ! [X0] : (humble(X0) <=> (~quiet(X0) & ~humble(X0))) [input p8]
25... | 0 |
Everyone who is either tall or rich is either strong or not quiet.
Everyone who is not patient is either not patient or not rich.
Everyone who is both not happy and old is both calm and not brave and vice versa.
Everyone who is either calm or old is not brave and vice versa.
If mary is either wise or not strong then lu... | Lucy is not brave. | contradiction | (![X]:((tall(X)<~>rich(X))=>(strong(X)<~>~quiet(X))))&
(![X]:(~patient(X)=>(~patient(X)<~>~rich(X))))&
(![X]:((~happy(X)&old(X))<=>(calm(X)&~brave(X))))&
(![X]:((calm(X)<~>old(X))<=>~brave(X)))&
(((wise(mary)<~>~strong(mary)))<=>(~old(lucy)))&
(![X]:(~tall(X)<=>(~generous(X)<~>tall(X))))&
((~humble(john))<=>(?[X]:(~qui... | ~brave(lucy) | [
"p2",
"p3",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 834056114587402714549339
% SZS output start Proof for 834056114587402714549339
3. ! [X0] : ((old(X0) & ~happy(X0)) <=> (~brave(X0) & calm(X0))) [input p2]
4. ! [X0] : ((calm(X0) <~> old(X0)) <=> ~brave(X0)) [input p3]
6. ! [X0] : (~tall(X0) <=> (~generous(X0) <~> tall(X0))) [input p5]
18.... | 0 |
Everyone who is not strong is calm and vice versa. Everyone who is calm or curious is both funny and not creative. If john is both tall and not quiet then someone is funny. If mary is curious or funny then someone is both rich and not quiet and vice versa. Everyone who is both calm and not humble is either old or not f... | John is not calm. | neutral | (![X]:(~strong(X)<=>calm(X)))&
(![X]:((calm(X)|curious(X))=>(funny(X)&~creative(X))))&
(((tall(john)&~quiet(john)))=>(?[X]:(funny(X))))&
(((curious(mary)|funny(mary)))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((calm(X)&~humble(X))<=>(old(X)<~>~funny(X))))&
(![X]:(~funny(X)=>old(X)))&
((calm(john))<=>((~humble(lucy)<~>~qu... | ~calm(john) | [] | null | 0 |
Everyone who is generous or not funny is not quiet or not kind and vice versa.
Everyone who is patient or not wise is tall or not wise and vice versa.
Everyone who is either kind or generous is either not old or tall and vice versa.
Everyone who is not wise is either not patient or strong.
If susan is old then someone ... | Mary is not rich. | entailment | (![X]:((generous(X)|~funny(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(tall(X)|~wise(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>strong(X))))&
((old(susan))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:(~curious(X)<=>(generous(X)&~happy(X))))&
(![X]:(tal... | ~rich(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7906714483206706857127168
% SZS output start Proof for 7906714483206706857127168
12. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> tall(X0)) [input p11]
24. rich(mary) [input hypothesis]
61. ! [X0] : (((~rich(X0) | ~tall(X0)) | ~tall(X0)) & (tall(X0) | (rich(X0) & tall(X0)))) [nnf transformation ... | 0 |
If someone is not funny then someone is both not patient and not humble. Everyone who is both kind and humble is humble and vice versa. If john is both not quiet and not creative then someone is not happy or not patient and vice versa. If someone is both not rich and not creative then someone is rich. If alice is eithe... | Susan is rich. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((~patient(X)&~humble(X)))))&
(![X]:((kind(X)&humble(X))<=>humble(X)))&
(((~quiet(john)&~creative(john)))<=>(?[X]:((~happy(X)|~patient(X)))))&
((?[X]:((~rich(X)&~creative(X))))=>(?[X]:(rich(X))))&
(((kind(alice)<~>funny(alice)))<=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((~strong(X)&~curious... | rich(susan) | [] | null | 0 |
Everyone who is both kind and not tall is either not funny or not creative. Everyone who is not strong is kind or not tall and vice versa. If someone is creative or not curious then lucy is either not old or brave and vice versa. Everyone who is both calm and not happy is not generous and vice versa. If someone is not ... | Mary is funny. | neutral | (![X]:((kind(X)&~tall(X))=>(~funny(X)<~>~creative(X))))&
(![X]:(~strong(X)<=>(kind(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>((~old(lucy)<~>brave(lucy))))&
(![X]:((calm(X)&~happy(X))<=>~generous(X)))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:((creative(X)<~>~humble(X)))))&
(![X]:(~curious(X)=>(brave(X)<~>cre... | funny(mary) | [] | null | 0 |
Everyone who is either tall or not funny is both not tall and calm. If susan is both not rich and not funny then someone is old. If someone is kind then someone is not humble or not funny and vice versa. If someone is rich or not tall then susan is not tall or not curious. If paul is not generous then paul is both curi... | John is not strong. | entailment | (![X]:((tall(X)<~>~funny(X))=>(~tall(X)&calm(X))))&
(((~rich(susan)&~funny(susan)))=>(?[X]:(old(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~humble(X)|~funny(X)))))&
((?[X]:((rich(X)|~tall(X))))=>((~tall(susan)|~curious(susan))))&
((~generous(paul))=>((curious(paul)&brave(paul))))&
(![X]:((~old(X)&~funny(X))<=>wise(X)))&
(![X]:... | ~strong(john) | [
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4802576446072085491121369
% SZS output start Proof for 4802576446072085491121369
7. ! [X0] : ((strong(X0) <~> rich(X0)) => ~strong(X0)) [input p6]
8. ! [X0] : ((calm(X0) & happy(X0)) <=> (rich(X0) | ~quiet(X0))) [input p7]
9. ! [X0] : ((kind(X0) & calm(X0)) <=> ~kind(X0)) [input p8]
25. s... | 0 |
If someone is either tall or old then someone is both not curious and rich and vice versa. Everyone who is either brave or not brave is either generous or not humble. If someone is both funny and happy then someone is either quiet or not kind. Everyone who is happy or not wise is either tall or old and vice versa. If s... | Lucy is wise. | contradiction | ((?[X]:((tall(X)<~>old(X))))<=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((brave(X)<~>~brave(X))=>(generous(X)<~>~humble(X))))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((quiet(X)<~>~kind(X)))))&
(![X]:((happy(X)|~wise(X))<=>(tall(X)<~>old(X))))&
((?[X]:(brave(X)))=>(?[X]:((~strong(X)&rich(X)))))&
(((old(mary)<~>~curious(mary... | wise(lucy) | [
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1420316781006507082541325
% SZS output start Proof for 1420316781006507082541325
7. ! [X0] : ((wise(X0) | patient(X0)) <=> ~tall(X0)) [input p6]
9. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (wise(X0) & ~wise(X0))) [input p8]
10. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (~tall(X0) | ~calm(X0))... | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is both not creative and not quiet then paul is not kind or rich. If someone is either not calm or not wise then paul is both not old and not patient and vice versa. Everyone who is either not strong or not tall is either not calm or not strong.... | Paul is not generous. | entailment | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((~creative(susan)&~quiet(susan)))=>((~kind(paul)|rich(paul))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X... | ~generous(paul) | [
"p5",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 387736487818076655630409
% SZS output start Proof for 387736487818076655630409
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p5]
9. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p8]
10. (tall(paul) | ~generous(paul)) <=> (~... | 0 |
If someone is not kind or kind then someone is either creative or not wise and vice versa.
Everyone who is not brave or not old is both not generous and humble.
If fred is not kind then someone is either creative or humble.
Everyone who is old or not creative is generous and vice versa.
If someone is either not strong ... | Mary is old. | contradiction | ((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~brave(X)|~old(X))=>(~generous(X)&humble(X))))&
((~kind(fred))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:((old(X)|~creative(X))<=>generous(X)))&
((?[X]:((~strong(X)<~>~generous(X))))<=>(?[X]:(curious(X))))&
(((~strong(paul)|~funny(paul)))<=>((... | old(mary) | [
"p6",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3804469573493772373476417
% SZS output start Proof for 3804469573493772373476417
7. ? [X0] : (funny(X0) | curious(X0)) => (~strong(fred) & ~quiet(fred)) [input p6]
10. ! [X0] : ((quiet(X0) <~> ~strong(X0)) => (generous(X0) & ~generous(X0))) [input p9]
23. funny(mary) | ~old(mary) [input p... | 0 |
If john is not creative or generous then lucy is either not curious or not rich.
Everyone who is calm is either not strong or not calm.
If someone is both not strong and humble then someone is either curious or not strong and vice versa.
If someone is not creative or not quiet then someone is not brave or not calm and ... | Susan is not generous. | entailment | (((~creative(john)|generous(john)))=>((~curious(lucy)<~>~rich(lucy))))&
(![X]:(calm(X)=>(~strong(X)<~>~calm(X))))&
((?[X]:((~strong(X)&humble(X))))<=>(?[X]:((curious(X)<~>~strong(X)))))&
((?[X]:((~creative(X)|~quiet(X))))<=>(?[X]:((~brave(X)|~calm(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>(generous(X)<~>~old(X))))&
(![X]... | ~generous(susan) | [
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6344156992979923074280347
% SZS output start Proof for 6344156992979923074280347
8. ! [X0] : (~kind(X0) <=> (~generous(X0) & wise(X0))) [input p7]
15. ! [X0] : ((~generous(X0) <~> kind(X0)) => (curious(X0) & ~generous(X0))) [input p14]
23. generous(susan) [input hypothesis]
35. ! [X0] : (... | 0 |
Everyone who is both not calm and old is not old and vice versa.
If someone is both not humble and not generous then someone is both not kind and generous.
If someone is creative or calm then someone is strong or brave.
If susan is both not rich and not brave then fred is funny.
Everyone who is either creative or old i... | John is not tall. | contradiction | (![X]:((~calm(X)&old(X))<=>~old(X)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~kind(X)&generous(X)))))&
((?[X]:((creative(X)|calm(X))))=>(?[X]:((strong(X)|brave(X)))))&
(((~rich(susan)&~brave(susan)))=>(funny(fred)))&
(![X]:((creative(X)<~>old(X))<=>(~generous(X)<~>~creative(X))))&
((~creative(susan))=>(?[X]:((cre... | ~tall(john) | [
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4871754880219982741138750
% SZS output start Proof for 4871754880219982741138750
8. ? [X0] : (funny(X0) <~> ~humble(X0)) => tall(john) [input p7]
12. ! [X0] : (~creative(X0) <=> (~humble(X0) | creative(X0))) [input p11]
13. ! [X0] : (~funny(X0) <=> (~humble(X0) | ~quiet(X0))) [input p12]
... | 0 |
Everyone who is not strong is both not tall and generous. Everyone who is not kind is not generous or strong and vice versa. Everyone who is both not calm and not creative is not humble and vice versa. Everyone who is wise or not tall is not funny and vice versa. Everyone who is not patient is tall or creative and vice... | John is humble. | contradiction | (![X]:(~strong(X)=>(~tall(X)&generous(X))))&
(![X]:(~kind(X)<=>(~generous(X)|strong(X))))&
(![X]:((~calm(X)&~creative(X))<=>~humble(X)))&
(![X]:((wise(X)|~tall(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(tall(X)|creative(X))))&
(![X]:(~quiet(X)<=>(~old(X)|curious(X))))&
((?[X]:((funny(X)<~>creative(X))))=>((generous(mary)... | humble(john) | [
"p1",
"p2",
"p12",
"p13",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8167928401882647539851447
% SZS output start Proof for 8167928401882647539851447
2. ! [X0] : (~kind(X0) <=> (strong(X0) | ~generous(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & ~calm(X0)) <=> ~humble(X0)) [input p2]
13. ? [X0] : brave(X0) => (kind(mary) & strong(mary)) [input p12]
14. (... | 0 |
If fred is both patient and curious then mary is both calm and not strong and vice versa.
If susan is both not curious and not kind then alice is not old or patient and vice versa.
Everyone who is wise is not happy or not old and vice versa.
Everyone who is both tall and happy is not humble and vice versa.
If susan is ... | Alice is not wise. | contradiction | (((patient(fred)&curious(fred)))<=>((calm(mary)&~strong(mary))))&
(((~curious(susan)&~kind(susan)))<=>((~old(alice)|patient(alice))))&
(![X]:(wise(X)<=>(~happy(X)|~old(X))))&
(![X]:((tall(X)&happy(X))<=>~humble(X)))&
(((funny(susan)&wise(susan)))=>((~wise(mary)|quiet(mary))))&
(![X]:((~tall(X)<~>humble(X))=>~creative(X... | ~wise(alice) | [
"p2",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7783078418482353357765697
% SZS output start Proof for 7783078418482353357765697
3. ! [X0] : (wise(X0) <=> (~old(X0) | ~happy(X0))) [input p2]
8. ! [X0] : (~calm(X0) <=> (calm(X0) | brave(X0))) [input p7]
15. (rich(paul) & calm(paul)) <=> ? [X0] : (old(X0) & ~wise(X0)) [input p14]
23. ~wi... | 0 |
Everyone who is tall is quiet and vice versa. If someone is not strong or not kind then someone is not wise. Everyone who is both not humble and not strong is both not calm and not strong. If someone is both wise and not humble then mary is humble. If alice is both old and rich then someone is both not funny and quiet.... | Paul is not patient. | neutral | (![X]:(tall(X)<=>quiet(X)))&
((?[X]:((~strong(X)|~kind(X))))=>(?[X]:(~wise(X))))&
(![X]:((~humble(X)&~strong(X))=>(~calm(X)&~strong(X))))&
((?[X]:((wise(X)&~humble(X))))=>(humble(mary)))&
(((old(alice)&rich(alice)))=>(?[X]:((~funny(X)&quiet(X)))))&
((~calm(paul))=>((old(susan)<~>~rich(susan))))&
(![X]:((funny(X)&~patie... | ~patient(paul) | [] | null | 0 |
Everyone who is both quiet and not wise is both brave and not creative and vice versa.
Everyone who is not humble is strong or generous and vice versa.
Everyone who is strong is not patient and vice versa.
Everyone who is not funny is both not quiet and tall.
Everyone who is kind is both not generous and not happy.
Eve... | Lucy is rich. | contradiction | (![X]:((quiet(X)&~wise(X))<=>(brave(X)&~creative(X))))&
(![X]:(~humble(X)<=>(strong(X)|generous(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:(~funny(X)=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))<=>(?[X]:((~... | rich(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6939592998562346681444013
% SZS output start Proof for 6939592998562346681444013
6. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (~kind(X0) & ~rich(X0))) [input p5]
23. rich(lucy) [input hypothesis]
37. ! [X0] : (((~quiet(X0) | quiet(X0)) | (kind(X0) | rich(X0))) & ((~kind(X0) & ~rich(X0)) | (q... | 0 |
If susan is both not calm and humble then lucy is both calm and not strong and vice versa. If paul is not brave then someone is not happy and vice versa. Everyone who is calm or not tall is either not quiet or not calm and vice versa. Everyone who is both not brave and old is either kind or not funny and vice versa. Ev... | Paul is not tall. | entailment | (((~calm(susan)&humble(susan)))<=>((calm(lucy)&~strong(lucy))))&
((~brave(paul))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|~tall(X))<=>(~quiet(X)<~>~calm(X))))&
(![X]:((~brave(X)&old(X))<=>(kind(X)<~>~funny(X))))&
(![X]:((calm(X)<~>~patient(X))<=>(calm(X)&~patient(X))))&
((?[X]:(rich(X)))<=>((~creative(paul)<~>~calm(paul)... | ~tall(paul) | [
"p2",
"p4",
"p5",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7365647624860852847929909
% SZS output start Proof for 7365647624860852847929909
3. ! [X0] : ((~tall(X0) | calm(X0)) <=> (~quiet(X0) <~> ~calm(X0))) [input p2]
5. ! [X0] : ((calm(X0) <~> ~patient(X0)) <=> (~patient(X0) & calm(X0))) [input p4]
6. ? [X0] : rich(X0) <=> (~creative(paul) <~> ... | 0 |
Everyone who is strong or not curious is kind and vice versa.
Everyone who is not strong is wise and vice versa.
If someone is not happy or not patient then someone is not creative.
If someone is brave then lucy is either happy or not kind.
If someone is both creative and not brave then someone is old or strong.
Everyo... | Alice is kind. | entailment | (![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:(~strong(X)<=>wise(X)))&
((?[X]:((~happy(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:(brave(X)))=>((happy(lucy)<~>~kind(lucy))))&
((?[X]:((creative(X)&~brave(X))))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(happy(X)&rich(X))))&
(![X]:((~funny... | kind(alice) | [
"p0",
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2641002445195482858495580
% SZS output start Proof for 2641002445195482858495580
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> wise(X0)) [input p1]
14. ! [X0] : ((wise(X0) | ~calm(X0)) <=> (~wise(X0) & happy(X0))) [input p13]
23. ~kind(alic... | 0 |
Everyone who is both wise and not patient is not kind or not brave and vice versa.
If someone is both generous and creative then fred is either not old or not funny.
Everyone who is patient is either strong or generous.
Everyone who is both curious and patient is both wise and patient and vice versa.
Everyone who is br... | Susan is not happy. | entailment | (![X]:((wise(X)&~patient(X))<=>(~kind(X)|~brave(X))))&
((?[X]:((generous(X)&creative(X))))=>((~old(fred)<~>~funny(fred))))&
(![X]:(patient(X)=>(strong(X)<~>generous(X))))&
(![X]:((curious(X)&patient(X))<=>(wise(X)&patient(X))))&
(![X]:(brave(X)=>(old(X)<~>~generous(X))))&
((?[X]:(brave(X)))<=>((generous(susan)&~wise(su... | ~happy(susan) | [
"p5",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3016112014567321528468432
% SZS output start Proof for 3016112014567321528468432
6. ? [X0] : brave(X0) <=> (~wise(susan) & generous(susan)) [input p5]
20. tall(mary) & brave(mary) [input p19]
24. generous(susan) <~> happy(susan) [input p23]
25. happy(susan) [input hypothesis]
47. (? [X0] ... | 0 |
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