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 tall or not old is both not quiet and old. If susan is humble then mary is either not calm or not kind. Everyone who is both happy and humble is both humble and not strong and vice versa. Everyone who is both not funny and happy is both not generous and patient and vice versa. If susan is bot... | Mary is tall. | contradiction | (![X]:((~tall(X)<~>~old(X))=>(~quiet(X)&old(X))))&
((humble(susan))=>((~calm(mary)<~>~kind(mary))))&
(![X]:((happy(X)&humble(X))<=>(humble(X)&~strong(X))))&
(![X]:((~funny(X)&happy(X))<=>(~generous(X)&patient(X))))&
(((rich(susan)&~humble(susan)))=>(~generous(john)))&
(![X]:(old(X)<=>(happy(X)<~>tall(X))))&
(![X]:(~hap... | tall(mary) | [
"p0",
"p5",
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5176139024857265013318468
% SZS output start Proof for 5176139024857265013318468
1. ! [X0] : ((~tall(X0) <~> ~old(X0)) => (old(X0) & ~quiet(X0))) [input p0]
6. ! [X0] : (old(X0) <=> (happy(X0) <~> tall(X0))) [input p5]
7. ! [X0] : (~happy(X0) <=> (~curious(X0) & calm(X0))) [input p6]
23. ... | 0 |
Everyone who is both not kind and not generous is happy.
If someone is not funny then lucy is both rich and not creative.
If lucy is not creative or rich then alice is not tall and vice versa.
If someone is both not kind and wise then susan is either creative or not kind.
Everyone who is both kind and funny is generous... | John is not strong. | contradiction | (![X]:((~kind(X)&~generous(X))=>happy(X)))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~kind(X)&wise(X))))=>((creative(susan)<~>~kind(susan))))&
(![X]:((kind(X)&funny(X))<=>generous(X)))&
((?[X]:((~tall(X)<~>~wise(X))))<=>(?[X]:(old(X))))&
(![X]:((c... | ~strong(john) | [
"p4",
"p6",
"p8",
"p9",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6927730669430454637101312
% SZS output start Proof for 6927730669430454637101312
5. ! [X0] : ((funny(X0) & kind(X0)) <=> generous(X0)) [input p4]
7. ! [X0] : ((calm(X0) <~> funny(X0)) => (~old(X0) <~> ~strong(X0))) [input p6]
9. ! [X0] : ((curious(X0) <~> patient(X0)) <=> (curious(X0) <~>... | 0 |
Everyone who is not rich or wise is both calm and rich and vice versa.
Everyone who is not happy or quiet is both kind and not kind.
If someone is calm or creative then someone is both calm and happy and vice versa.
Everyone who is not happy is quiet and vice versa.
Everyone who is generous is not calm or quiet and vic... | Fred is not generous. | contradiction | (![X]:((~rich(X)|wise(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(kind(X)&~kind(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(~happy(X)<=>quiet(X)))&
(![X]:(generous(X)<=>(~calm(X)|quiet(X))))&
((?[X]:((humble(X)|~humble(X))))<=>((tall(lucy)|~creative(lucy))))&
(![X]:((~funn... | ~generous(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 901125733013466970927511
% SZS output start Proof for 901125733013466970927511
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~kind(X0) & kind(X0))) [input p1]
7. ! [X0] : ((generous(X0) & ~funny(X0)) <=> (humble(X0) | happy(X0))) [input p6]
25. ~generous(fred) [input hypothesis]
27. ! [X0] : ... | 0 |
Everyone who is either not tall or not strong is both patient and humble. If someone is funny or not generous then someone is not tall or brave. If someone is not quiet or not calm then someone is quiet and vice versa. If someone is either rich or curious then john is not curious. Everyone who is rich is both old and n... | John is quiet. | neutral | (![X]:((~tall(X)<~>~strong(X))=>(patient(X)&humble(X))))&
((?[X]:((funny(X)|~generous(X))))=>(?[X]:((~tall(X)|brave(X)))))&
((?[X]:((~quiet(X)|~calm(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((rich(X)<~>curious(X))))=>(~curious(john)))&
(![X]:(rich(X)<=>(old(X)&~quiet(X))))&
(![X]:((~curious(X)<~>curious(X))=>(~funny(X)&~stro... | quiet(john) | [] | null | 0 |
Everyone who is either not wise or not strong is either not calm or funny and vice versa. Everyone who is either not wise or patient is patient or not creative and vice versa. Everyone who is curious is brave and vice versa. Everyone who is either strong or calm is either not funny or quiet and vice versa. Everyone who... | Paul is quiet. | neutral | (![X]:((~wise(X)<~>~strong(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((~wise(X)<~>patient(X))<=>(patient(X)|~creative(X))))&
(![X]:(curious(X)<=>brave(X)))&
(![X]:((strong(X)<~>calm(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(~rich(X)=>(~old(X)|tall(X))))&
(![X]:((humble(X)<~>creative(X))=>(~wise(X)|generous(X))))&
((?[X]:((quie... | quiet(paul) | [] | null | 0 |
Everyone who is both humble and not tall is humble.
Everyone who is curious is not quiet and vice versa.
If someone is both not quiet and strong then alice is both not calm and wise.
If fred is either not patient or brave then mary is both happy and not rich.
If john is not creative then paul is creative or old and vic... | Fred is curious. | entailment | (![X]:((humble(X)&~tall(X))=>humble(X)))&
(![X]:(curious(X)<=>~quiet(X)))&
((?[X]:((~quiet(X)&strong(X))))=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(... | curious(fred) | [
"p1",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8095625581219923671876514
% SZS output start Proof for 8095625581219923671876514
2. ! [X0] : (curious(X0) <=> ~quiet(X0)) [input p1]
7. ! [X0] : ((strong(X0) & ~rich(X0)) <=> ~strong(X0)) [input p6]
9. ? [X0] : ~generous(X0) <=> (~generous(mary) & ~happy(mary)) [input p8]
10. ! [X0] : ((~... | 0 |
Everyone who is either not wise or humble is either funny or not calm and vice versa. Everyone who is either wise or not funny is either quiet or creative. Everyone who is wise or strong is tall. If someone is both creative and humble then someone is either tall or quiet and vice versa. If fred is either not curious or... | Mary is not generous. | contradiction | (![X]:((~wise(X)<~>humble(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((wise(X)<~>~funny(X))=>(quiet(X)<~>creative(X))))&
(![X]:((wise(X)|strong(X))=>tall(X)))&
((?[X]:((creative(X)&humble(X))))<=>(?[X]:((tall(X)<~>quiet(X)))))&
(((~curious(fred)<~>brave(fred)))=>(?[X]:((humble(X)&strong(X)))))&
(((~creative(paul)&rich(paul))... | ~generous(mary) | [
"p2",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2155475086592297388741440
% SZS output start Proof for 2155475086592297388741440
3. ! [X0] : ((strong(X0) | wise(X0)) => tall(X0)) [input p2]
10. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (~curious(X0) <~> ~wise(X0))) [input p9]
13. ? [X0] : (humble(X0) | generous(X0)) => (humble(mary)... | 0 |
If someone is not humble or not kind then lucy is both not humble and not funny.
Everyone who is not kind or strong is humble or quiet and vice versa.
If mary is old or generous then someone is tall and vice versa.
Everyone who is quiet or kind is brave and vice versa.
If paul is both humble and not strong then someone... | Mary is generous. | entailment | ((?[X]:((~humble(X)|~kind(X))))=>((~humble(lucy)&~funny(lucy))))&
(![X]:((~kind(X)|strong(X))<=>(humble(X)|quiet(X))))&
(((old(mary)|generous(mary)))<=>(?[X]:(tall(X))))&
(![X]:((quiet(X)|kind(X))<=>brave(X)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:(humble(X)=>(humble(X)<~>~wise(X))))&
(![... | generous(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 145630839623764849618574
% SZS output start Proof for 145630839623764849618574
1. ? [X0] : (~kind(X0) | ~humble(X0)) => (~funny(lucy) & ~humble(lucy)) [input p0]
2. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (quiet(X0) | humble(X0))) [input p1]
3. (generous(mary) | old(mary)) <=> ? [X0] : tal... | 0 |
If someone is not generous then someone is generous or not happy and vice versa.
If alice is happy then paul is rich or not rich and vice versa.
If susan is both not calm and happy then someone is curious and vice versa.
If someone is both happy and not generous then someone is both not generous and not rich.
If paul i... | Susan is not happy. | contradiction | ((?[X]:(~generous(X)))<=>(?[X]:((generous(X)|~happy(X)))))&
((happy(alice))<=>((rich(paul)|~rich(paul))))&
(((~calm(susan)&happy(susan)))<=>(?[X]:(curious(X))))&
((?[X]:((happy(X)&~generous(X))))=>(?[X]:((~generous(X)&~rich(X)))))&
(((calm(paul)|~patient(paul)))=>((funny(lucy)<~>~wise(lucy))))&
(((~strong(alice)<~>~pat... | ~happy(susan) | [
"p2",
"p9",
"p11",
"p13",
"p15",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2237494437938661561481683
% SZS output start Proof for 2237494437938661561481683
3. (happy(susan) & ~calm(susan)) <=> ? [X0] : curious(X0) [input p2]
10. ~rich(alice) <=> ? [X0] : (patient(X0) | humble(X0)) [input p9]
12. ! [X0] : ((creative(X0) | ~creative(X0)) => (calm(X0) <~> ~funny(X0... | 0 |
If someone is either calm or not wise then someone is either calm or not curious and vice versa.
If someone is both humble and tall then lucy is either wise or brave and vice versa.
If someone is not brave then paul is either generous or not patient.
Everyone who is both not tall and funny is both not creative and tall... | Fred is happy. | neutral | ((?[X]:((calm(X)<~>~wise(X))))<=>(?[X]:((calm(X)<~>~curious(X)))))&
((?[X]:((humble(X)&tall(X))))<=>((wise(lucy)<~>brave(lucy))))&
((?[X]:(~brave(X)))=>((generous(paul)<~>~patient(paul))))&
(![X]:((~tall(X)&funny(X))<=>(~creative(X)&tall(X))))&
((patient(fred))<=>((generous(paul)&~calm(paul))))&
((?[X]:((calm(X)|~stron... | happy(fred) | [] | null | 0 |
If someone is funny then someone is happy and vice versa.
If alice is either brave or not quiet then alice is both not funny and humble and vice versa.
Everyone who is patient is not kind.
Everyone who is not brave or not happy is both strong and not humble and vice versa.
Everyone who is both curious and not creative ... | Alice is kind. | contradiction | ((?[X]:(funny(X)))<=>(?[X]:(happy(X))))&
(((brave(alice)<~>~quiet(alice)))<=>((~funny(alice)&humble(alice))))&
(![X]:(patient(X)=>~kind(X)))&
(![X]:((~brave(X)|~happy(X))<=>(strong(X)&~humble(X))))&
(![X]:((curious(X)&~creative(X))<=>(~patient(X)|~wise(X))))&
(((rich(alice)|~curious(alice)))<=>((brave(fred)&humble(fred... | kind(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1850550880798949581759244
% SZS output start Proof for 1850550880798949581759244
24. ~kind(alice) & ~quiet(alice) [input p23]
25. kind(alice) [input hypothesis]
148. ~kind(alice) [cnf transformation 24]
149. kind(alice) [cnf transformation 25]
333. $false [subsumption resolution 149,148]
... | 0 |
Everyone who is either generous or wise is either not patient or kind.
Everyone who is both not wise and not strong is not generous.
If susan is wise then mary is both curious and not creative and vice versa.
Everyone who is tall is both strong and not curious and vice versa.
Everyone who is strong is wise and vice ver... | Susan is not patient. | contradiction | (![X]:((generous(X)<~>wise(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~wise(X)&~strong(X))=>~generous(X)))&
((wise(susan))<=>((curious(mary)&~creative(mary))))&
(![X]:(tall(X)<=>(strong(X)&~curious(X))))&
(![X]:(strong(X)<=>wise(X)))&
(![X]:((kind(X)|~brave(X))=>(~generous(X)|brave(X))))&
((?[X]:((funny(X)<~>creative(X)))... | ~patient(susan) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8383074961101940207701406
% SZS output start Proof for 8383074961101940207701406
5. ! [X0] : (strong(X0) <=> wise(X0)) [input p4]
10. ? [X0] : (~patient(X0) | ~kind(X0)) => ? [X0] : (~wise(X0) <~> ~strong(X0)) [input p9]
23. ~patient(susan) [input hypothesis]
25. ? [X0] : (~patient(X0) | ... | 0 |
Everyone who is not strong is both not wise and creative.
Everyone who is not quiet is humble and vice versa.
If mary is both patient and not calm then someone is wise and vice versa.
If susan is not calm or creative then someone is not patient or not old.
Everyone who is funny is both curious and not funny and vice ve... | Alice is not wise. | contradiction | (![X]:(~strong(X)=>(~wise(X)&creative(X))))&
(![X]:(~quiet(X)<=>humble(X)))&
(((patient(mary)&~calm(mary)))<=>(?[X]:(wise(X))))&
(((~calm(susan)|creative(susan)))=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:(funny(X)<=>(curious(X)&~funny(X))))&
(((~curious(lucy)<~>~strong(lucy)))<=>(?[X]:(~generous(X))))&
(![X]:((~old(X)<~... | ~wise(alice) | [
"p1",
"p6",
"p8",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4943249197045591014184920
% SZS output start Proof for 4943249197045591014184920
2. ! [X0] : (~quiet(X0) <=> humble(X0)) [input p1]
7. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (~humble(X0) <~> ~old(X0))) [input p6]
9. ? [X0] : (quiet(X0) <~> ~wise(X0)) => wise(alice) [input p8]
10. ! [X0... | 0 |
Everyone who is either not wise or wise is not calm.
If someone is calm or not patient then paul is both not generous and not humble.
If susan is both not old and kind then someone is both funny and not humble.
Everyone who is either quiet or creative is generous.
If someone is either not funny or strong then someone i... | Lucy is not wise. | neutral | (![X]:((~wise(X)<~>wise(X))=>~calm(X)))&
((?[X]:((calm(X)|~patient(X))))=>((~generous(paul)&~humble(paul))))&
(((~old(susan)&kind(susan)))=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:((quiet(X)<~>creative(X))=>generous(X)))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:(~kind(X))))&
((?[X]:((quiet(X)&old(X))))=>((~wise(lucy)<... | ~wise(lucy) | [] | null | 0 |
Everyone who is both not old and not happy is not humble or tall and vice versa.
If alice is strong then alice is humble and vice versa.
Everyone who is both wise and creative is patient and vice versa.
If someone is kind or not tall then fred is both not patient and quiet.
Everyone who is both creative and strong is e... | Fred is not generous. | neutral | (![X]:((~old(X)&~happy(X))<=>(~humble(X)|tall(X))))&
((strong(alice))<=>(humble(alice)))&
(![X]:((wise(X)&creative(X))<=>patient(X)))&
((?[X]:((kind(X)|~tall(X))))=>((~patient(fred)&quiet(fred))))&
(![X]:((creative(X)&strong(X))<=>(~calm(X)<~>~strong(X))))&
(((brave(susan)<~>calm(susan)))=>(?[X]:(~humble(X))))&
(![X]:(... | ~generous(fred) | [] | null | 0 |
If someone is both not curious and kind then someone is tall and vice versa. If someone is both quiet and not funny then someone is humble and vice versa. Everyone who is both strong and not generous is both kind and strong. If fred is not rich or kind then fred is both generous and quiet and vice versa. If mary is bot... | Fred is not happy. | neutral | ((?[X]:((~curious(X)&kind(X))))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&~funny(X))))<=>(?[X]:(humble(X))))&
(![X]:((strong(X)&~generous(X))=>(kind(X)&strong(X))))&
(((~rich(fred)|kind(fred)))<=>((generous(fred)&quiet(fred))))&
(((old(mary)&~strong(mary)))=>(?[X]:((strong(X)|~kind(X)))))&
(((~wise(lucy)|kind(lucy)))=>(?[... | ~happy(fred) | [] | null | 0 |
Everyone who is patient is either not rich or not brave.
Everyone who is both old and wise is creative or not curious and vice versa.
If mary is not tall then susan is both creative and not old and vice versa.
Everyone who is rich or strong is both strong and not brave.
Everyone who is not strong or not tall is either ... | Susan is not generous. | neutral | (![X]:(patient(X)=>(~rich(X)<~>~brave(X))))&
(![X]:((old(X)&wise(X))<=>(creative(X)|~curious(X))))&
((~tall(mary))<=>((creative(susan)&~old(susan))))&
(![X]:((rich(X)|strong(X))=>(strong(X)&~brave(X))))&
(![X]:((~strong(X)|~tall(X))<=>(~brave(X)<~>tall(X))))&
(![X]:((funny(X)<~>~curious(X))<=>patient(X)))&
((?[X]:((tal... | ~generous(susan) | [] | null | 0 |
If lucy is not tall or wise then someone is generous or not wise and vice versa.
Everyone who is funny or not happy is strong and vice versa.
Everyone who is generous is tall and vice versa.
If someone is not curious or not generous then susan is either wise or creative and vice versa.
Everyone who is kind is both not ... | Lucy is not humble. | entailment | (((~tall(lucy)|wise(lucy)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((funny(X)|~happy(X))<=>strong(X)))&
(![X]:(generous(X)<=>tall(X)))&
((?[X]:((~curious(X)|~generous(X))))<=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(... | ~humble(lucy) | [
"p1",
"p6",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 69103398629198775912518
% SZS output start Proof for 69103398629198775912518
2. ! [X0] : ((~happy(X0) | funny(X0)) <=> strong(X0)) [input p1]
7. ! [X0] : ((rich(X0) & brave(X0)) <=> (~old(X0) | quiet(X0))) [input p6]
11. ! [X0] : (old(X0) => quiet(X0)) [input p10]
12. ! [X0] : ((generous(... | 0 |
Everyone who is strong is both humble and generous. If someone is both patient and quiet then someone is not funny. If someone is both not kind and creative then paul is either rich or not creative and vice versa. If someone is either not old or not kind then someone is strong or generous. If john is either not patient... | Susan is not old. | contradiction | (![X]:(strong(X)=>(humble(X)&generous(X))))&
((?[X]:((patient(X)&quiet(X))))=>(?[X]:(~funny(X))))&
((?[X]:((~kind(X)&creative(X))))<=>((rich(paul)<~>~creative(paul))))&
((?[X]:((~old(X)<~>~kind(X))))=>(?[X]:((strong(X)|generous(X)))))&
(((~patient(john)<~>~funny(john)))=>(?[X]:((kind(X)<~>patient(X)))))&
((?[X]:((tall(... | ~old(susan) | [
"p0",
"p1",
"p7",
"p8",
"p11",
"p12",
"p13",
"p15",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6504935775065662205933602
% SZS output start Proof for 6504935775065662205933602
1. ! [X0] : (strong(X0) => (generous(X0) & humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & patient(X0)) => ? [X0] : ~funny(X0) [input p1]
8. ! [X0] : ((~creative(X0) | happy(X0)) <=> (curious(X0) <~> generou... | 0 |
Everyone who is both rich and brave is not tall and vice versa.
Everyone who is funny is both not curious and not quiet.
Everyone who is creative or rich is happy and vice versa.
Everyone who is not old or humble is not kind and vice versa.
Everyone who is not calm or humble is not creative or strong and vice versa.
If... | Susan is funny. | contradiction | (![X]:((rich(X)&brave(X))<=>~tall(X)))&
(![X]:(funny(X)=>(~curious(X)&~quiet(X))))&
(![X]:((creative(X)|rich(X))<=>happy(X)))&
(![X]:((~old(X)|humble(X))<=>~kind(X)))&
(![X]:((~calm(X)|humble(X))<=>(~creative(X)|strong(X))))&
(((happy(fred)&patient(fred)))<=>(?[X]:((humble(X)|~wise(X)))))&
(((humble(john)<~>happy(john)... | funny(susan) | [
"p2",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3007179018829103679924073
% SZS output start Proof for 3007179018829103679924073
3. ! [X0] : ((rich(X0) | creative(X0)) <=> happy(X0)) [input p2]
10. ! [X0] : (~funny(X0) <=> (tall(X0) | ~creative(X0))) [input p9]
13. ! [X0] : ((patient(X0) | happy(X0)) <=> (humble(X0) & ~humble(X0))) [in... | 0 |
If fred is tall then alice is both happy and brave and vice versa. If john is calm then susan is wise or kind. Everyone who is not tall is both not kind and not old and vice versa. If mary is not funny or quiet then mary is tall or not wise. If someone is old then someone is not strong or not brave and vice versa. If s... | Alice is not generous. | contradiction | ((tall(fred))<=>((happy(alice)&brave(alice))))&
((calm(john))=>((wise(susan)|kind(susan))))&
(![X]:(~tall(X)<=>(~kind(X)&~old(X))))&
(((~funny(mary)|quiet(mary)))=>((tall(mary)|~wise(mary))))&
((?[X]:(old(X)))<=>(?[X]:((~strong(X)|~brave(X)))))&
((?[X]:((~patient(X)&wise(X))))<=>(?[X]:((~tall(X)<~>old(X)))))&
((?[X]:(~... | ~generous(alice) | [
"p0",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7681081234183054125915386
% SZS output start Proof for 7681081234183054125915386
1. tall(fred) <=> (brave(alice) & happy(alice)) [input p0]
12. ! [X0] : ((brave(X0) <~> generous(X0)) => (happy(X0) & generous(X0))) [input p11]
22. ~happy(fred) & tall(fred) [input p21]
25. ~generous(alice) ... | 0 |
Everyone who is humble is not happy.
If mary is not curious then susan is generous and vice versa.
Everyone who is not old or not quiet is not humble and vice versa.
If someone is not brave then someone is not brave or not generous.
If someone is strong or not tall then someone is wise and vice versa.
Everyone who is b... | Fred is not wise. | neutral | (![X]:(humble(X)=>~happy(X)))&
((~curious(mary))<=>(generous(susan)))&
(![X]:((~old(X)|~quiet(X))<=>~humble(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((strong(X)|~tall(X))))<=>(?[X]:(wise(X))))&
(![X]:((humble(X)&~old(X))=>(happy(X)&~quiet(X))))&
(![X]:((strong(X)|~tall(X))=>(~wise(X)|old(X)... | ~wise(fred) | [] | null | 0 |
If alice is either generous or quiet then john is not generous or not wise and vice versa.
Everyone who is either calm or strong is either not patient or curious.
Everyone who is both happy and not funny is both calm and not strong.
Everyone who is either not happy or curious is both funny and humble and vice versa.
Ev... | Susan is not kind. | neutral | (((generous(alice)<~>quiet(alice)))<=>((~generous(john)|~wise(john))))&
(![X]:((calm(X)<~>strong(X))=>(~patient(X)<~>curious(X))))&
(![X]:((happy(X)&~funny(X))=>(calm(X)&~strong(X))))&
(![X]:((~happy(X)<~>curious(X))<=>(funny(X)&humble(X))))&
(![X]:((~quiet(X)&generous(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>((... | ~kind(susan) | [] | null | 0 |
Everyone who is quiet is tall or curious and vice versa.
Everyone who is both not patient and not brave is old or not curious and vice versa.
Everyone who is both not brave and not humble is not humble.
Everyone who is either not quiet or old is not creative and vice versa.
Everyone who is both not strong and not quiet... | Paul is quiet. | neutral | (![X]:(quiet(X)<=>(tall(X)|curious(X))))&
(![X]:((~patient(X)&~brave(X))<=>(old(X)|~curious(X))))&
(![X]:((~brave(X)&~humble(X))=>~humble(X)))&
(![X]:((~quiet(X)<~>old(X))<=>~creative(X)))&
(![X]:((~strong(X)&~quiet(X))=>(~strong(X)&creative(X))))&
((?[X]:((kind(X)<~>~patient(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((... | quiet(paul) | [] | null | 0 |
If mary is both not strong and not rich then someone is both brave and patient and vice versa. If susan is curious or not quiet then lucy is not funny and vice versa. Everyone who is curious or not happy is tall. Everyone who is either calm or not generous is both not curious and not generous. Everyone who is both stro... | Susan is not funny. | contradiction | (((~strong(mary)&~rich(mary)))<=>(?[X]:((brave(X)&patient(X)))))&
(((curious(susan)|~quiet(susan)))<=>(~funny(lucy)))&
(![X]:((curious(X)|~happy(X))=>tall(X)))&
(![X]:((calm(X)<~>~generous(X))=>(~curious(X)&~generous(X))))&
(![X]:((strong(X)&humble(X))=>(strong(X)|generous(X))))&
(![X]:((generous(X)|~kind(X))=>kind(X))... | ~funny(susan) | [
"p9",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7779221196308112890958655
% SZS output start Proof for 7779221196308112890958655
10. ! [X0] : (creative(X0) => (~old(X0) & ~humble(X0))) [input p9]
16. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (funny(X0) & curious(X0))) [input p15]
18. humble(susan) [input p17]
24. ~funny(susan) [input h... | 0 |
Everyone who is both not happy and brave is either wise or curious.
If someone is both not strong and rich then someone is not rich and vice versa.
Everyone who is either not creative or quiet is happy and vice versa.
Everyone who is not patient is not quiet or generous and vice versa.
If alice is not tall or not funny... | Alice is not happy. | neutral | (![X]:((~happy(X)&brave(X))=>(wise(X)<~>curious(X))))&
((?[X]:((~strong(X)&rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>happy(X)))&
(![X]:(~patient(X)<=>(~quiet(X)|generous(X))))&
(((~tall(alice)|~funny(alice)))=>(?[X]:((~humble(X)&kind(X)))))&
(![X]:((~humble(X)&calm(X))<=>~wise(X)))&
(((kind(al... | ~happy(alice) | [] | null | 0 |
If john is both not creative and not calm then someone is quiet or not curious.
If mary is either patient or strong then paul is not old.
If fred is wise or not wise then john is both not creative and not happy.
Everyone who is not wise or funny is both old and generous and vice versa.
If someone is not quiet or tall t... | Lucy is not strong. | contradiction | (((~creative(john)&~calm(john)))=>(?[X]:((quiet(X)|~curious(X)))))&
(((patient(mary)<~>strong(mary)))=>(~old(paul)))&
(((wise(fred)|~wise(fred)))=>((~creative(john)&~happy(john))))&
(![X]:((~wise(X)|funny(X))<=>(old(X)&generous(X))))&
((?[X]:((~quiet(X)|tall(X))))<=>(?[X]:(happy(X))))&
(![X]:((~creative(X)&old(X))<=>(s... | ~strong(lucy) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5074686318473530305923592
% SZS output start Proof for 5074686318473530305923592
13. (calm(paul) & ~tall(paul)) <=> (creative(lucy) | ~strong(lucy)) [input p12]
14. ! [X0] : ((~tall(X0) & calm(X0)) => ~calm(X0)) [input p13]
24. ~strong(lucy) [input hypothesis]
34. ! [X0] : (~calm(X0) | (t... | 0 |
If fred is both not funny and not patient then someone is either tall or humble and vice versa.
Everyone who is not strong or not happy is either quiet or not generous.
If susan is not rich then someone is either not strong or humble and vice versa.
Everyone who is either not brave or not funny is both brave and not ta... | Susan is funny. | contradiction | (((~funny(fred)&~patient(fred)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:((~strong(X)|~happy(X))=>(quiet(X)<~>~generous(X))))&
((~rich(susan))<=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:((~brave(X)<~>~funny(X))<=>(brave(X)&~tall(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(~old(X)<~>~quiet(X))))&
((?[X]:((humble(X)|rich... | funny(susan) | [
"p1",
"p3",
"p10",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8539199229609520676842110
% SZS output start Proof for 8539199229609520676842110
2. ! [X0] : ((~happy(X0) | ~strong(X0)) => (quiet(X0) <~> ~generous(X0))) [input p1]
4. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> (~tall(X0) & brave(X0))) [input p3]
11. ! [X0] : ((~tall(X0) <~> ~wise(X0)) =>... | 0 |
If mary is not strong or wise then susan is humble and vice versa.
If lucy is not creative then fred is not wise or not happy.
If someone is not old then fred is kind or strong.
If someone is both not strong and kind then susan is not generous and vice versa.
Everyone who is both not curious and not wise is either curi... | Susan is not strong. | contradiction | (((~strong(mary)|wise(mary)))<=>(humble(susan)))&
((~creative(lucy))=>((~wise(fred)|~happy(fred))))&
((?[X]:(~old(X)))=>((kind(fred)|strong(fred))))&
((?[X]:((~strong(X)&kind(X))))<=>(~generous(susan)))&
(![X]:((~curious(X)&~wise(X))=>(curious(X)<~>funny(X))))&
(![X]:((~quiet(X)|~happy(X))<=>(tall(X)|strong(X))))&
(((s... | ~strong(susan) | [
"p5",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 432887080042979184683108
% SZS output start Proof for 432887080042979184683108
6. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (strong(X0) | tall(X0))) [input p5]
9. ! [X0] : (~creative(X0) <=> tall(X0)) [input p8]
13. ! [X0] : ((rich(X0) & quiet(X0)) <=> (~creative(X0) | old(X0))) [input p12]... | 0 |
If someone is both not humble and creative then paul is not kind. Everyone who is not brave or not strong is wise or not old and vice versa. Everyone who is both not rich and not happy is both rich and curious. If fred is either not quiet or curious then susan is old or not tall. Everyone who is both creative and not c... | Lucy is not funny. | entailment | ((?[X]:((~humble(X)&creative(X))))=>(~kind(paul)))&
(![X]:((~brave(X)|~strong(X))<=>(wise(X)|~old(X))))&
(![X]:((~rich(X)&~happy(X))=>(rich(X)&curious(X))))&
(((~quiet(fred)<~>curious(fred)))=>((old(susan)|~tall(susan))))&
(![X]:((creative(X)&~creative(X))<=>(~kind(X)<~>curious(X))))&
(((~strong(paul)|~wise(paul)))<=>(... | ~funny(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 639174093284503162692256
% SZS output start Proof for 639174093284503162692256
14. (~old(paul) <~> old(paul)) => (~funny(lucy) & tall(lucy)) [input p13]
23. funny(lucy) [input hypothesis]
36. (~funny(lucy) & tall(lucy)) | (~old(paul) <=> old(paul)) [ennf transformation 14]
59. (~funny(luc... | 0 |
Everyone who is tall or creative is either happy or funny and vice versa. Everyone who is not curious or not brave is not creative or curious and vice versa. If fred is not tall or funny then someone is strong or humble. Everyone who is not quiet or funny is wise or not generous. If lucy is generous then susan is not c... | Fred is not kind. | neutral | (![X]:((tall(X)|creative(X))<=>(happy(X)<~>funny(X))))&
(![X]:((~curious(X)|~brave(X))<=>(~creative(X)|curious(X))))&
(((~tall(fred)|funny(fred)))=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((~quiet(X)|funny(X))=>(wise(X)|~generous(X))))&
((generous(lucy))=>(~curious(susan)))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((kin... | ~kind(fred) | [] | null | 0 |
Everyone who is either not humble or not rich is brave or not kind and vice versa.
If someone is not generous then someone is patient.
Everyone who is either not funny or patient is old or not generous.
If someone is quiet or patient then someone is either wise or funny.
If someone is both not generous and old then pau... | Fred is not old. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(brave(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(?[X]:(patient(X))))&
(![X]:((~funny(X)<~>patient(X))=>(old(X)|~generous(X))))&
((?[X]:((quiet(X)|patient(X))))=>(?[X]:((wise(X)<~>funny(X)))))&
((?[X]:((~generous(X)&old(X))))=>(patient(paul)))&
((?[X]:((~brave(X)&old(X))))<=>(?[X]:((kind(... | ~old(fred) | [] | null | 0 |
If paul is both not happy and funny then someone is both happy and not strong and vice versa.
If someone is either not old or not curious then someone is rich or not tall and vice versa.
Everyone who is either not calm or funny is calm.
If paul is either kind or not calm then susan is not strong or generous.
Everyone w... | Alice is brave. | entailment | (((~happy(paul)&funny(paul)))<=>(?[X]:((happy(X)&~strong(X)))))&
((?[X]:((~old(X)<~>~curious(X))))<=>(?[X]:((rich(X)|~tall(X)))))&
(![X]:((~calm(X)<~>funny(X))=>calm(X)))&
(((kind(paul)<~>~calm(paul)))=>((~strong(susan)|generous(susan))))&
(![X]:((~wise(X)&wise(X))<=>(~generous(X)&~strong(X))))&
(![X]:((happy(X)|~calm(... | brave(alice) | [
"p5",
"p8",
"p11",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4763174674595361623624042
% SZS output start Proof for 4763174674595361623624042
6. ! [X0] : ((~calm(X0) | happy(X0)) <=> (~wise(X0) <~> ~happy(X0))) [input p5]
9. ! [X0] : ((~wise(X0) <~> curious(X0)) => (~quiet(X0) | brave(X0))) [input p8]
12. ! [X0] : ((calm(X0) & old(X0)) <=> (~old(X0... | 0 |
If mary is kind then john is not funny. Everyone who is either tall or not rich is both not happy and patient and vice versa. Everyone who is both happy and old is happy or curious and vice versa. If paul is either rich or not kind then someone is both not happy and not kind. Everyone who is either curious or not curio... | Paul is curious. | contradiction | ((kind(mary))=>(~funny(john)))&
(![X]:((tall(X)<~>~rich(X))<=>(~happy(X)&patient(X))))&
(![X]:((happy(X)&old(X))<=>(happy(X)|curious(X))))&
(((rich(paul)<~>~kind(paul)))=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~brave(X)&~old(X))))&
((~strong(lucy))=>((strong(paul)&~quiet(paul))))&
(![X]:((... | curious(paul) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2847426910401682942167900
% SZS output start Proof for 2847426910401682942167900
3. ! [X0] : ((old(X0) & happy(X0)) <=> (curious(X0) | happy(X0))) [input p2]
5. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~old(X0) & ~brave(X0))) [input p4]
23. curious(paul) [input hypothesis]
39. ! [X0]... | 0 |
Everyone who is either not tall or happy is not old or calm and vice versa.
If mary is rich or kind then john is either not kind or not curious and vice versa.
If paul is both not calm and strong then mary is both rich and not tall.
Everyone who is either not kind or not funny is either curious or not calm.
Everyone wh... | John is not calm. | neutral | (![X]:((~tall(X)<~>happy(X))<=>(~old(X)|calm(X))))&
(((rich(mary)|kind(mary)))<=>((~kind(john)<~>~curious(john))))&
(((~calm(paul)&strong(paul)))=>((rich(mary)&~tall(mary))))&
(![X]:((~kind(X)<~>~funny(X))=>(curious(X)<~>~calm(X))))&
(![X]:((generous(X)&~patient(X))=>(tall(X)&~strong(X))))&
(![X]:((kind(X)|calm(X))<=>(... | ~calm(john) | [] | null | 0 |
If john is not humble then alice is either creative or curious.
If someone is either quiet or generous then john is patient and vice versa.
If susan is not creative then susan is both generous and not funny.
Everyone who is either not creative or brave is not patient or strong and vice versa.
If lucy is tall or not cre... | Paul is not patient. | entailment | ((~humble(john))=>((creative(alice)<~>curious(alice))))&
((?[X]:((quiet(X)<~>generous(X))))<=>(patient(john)))&
((~creative(susan))=>((generous(susan)&~funny(susan))))&
(![X]:((~creative(X)<~>brave(X))<=>(~patient(X)|strong(X))))&
(((tall(lucy)|~creative(lucy)))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)|~old(X))<=>(~creati... | ~patient(paul) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2232193109607616409133225
% SZS output start Proof for 2232193109607616409133225
12. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p11]
14. ! [X0] : ((wise(X0) | ~creative(X0)) => (~patient(X0) & ~wise(X0))) [input p13]
22. patient(paul) [input hypothesis... | 0 |
Everyone who is either not curious or not calm is either happy or not funny and vice versa.
Everyone who is both not strong and not brave is either creative or not curious.
Everyone who is both not humble and patient is both creative and funny and vice versa.
Everyone who is rich or happy is not wise and vice versa.
Ev... | Lucy is not funny. | entailment | (![X]:((~curious(X)<~>~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((~strong(X)&~brave(X))=>(creative(X)<~>~curious(X))))&
(![X]:((~humble(X)&patient(X))<=>(creative(X)&funny(X))))&
(![X]:((rich(X)|happy(X))<=>~wise(X)))&
(![X]:((~funny(X)|old(X))<=>(~wise(X)&strong(X))))&
(![X]:((humble(X)|~humble(X))<=>creative(X)))&
... | ~funny(lucy) | [
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7251734188842454216440188
% SZS output start Proof for 7251734188842454216440188
5. ! [X0] : ((old(X0) | ~funny(X0)) <=> (strong(X0) & ~wise(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | humble(X0)) <=> creative(X0)) [input p5]
8. ? [X0] : ~strong(X0) => (funny(mary) & ~creative(mary)) [in... | 0 |
Everyone who is strong is not old or not tall.
Everyone who is not generous is either not kind or calm.
Everyone who is either not strong or not rich is not happy or not old and vice versa.
Everyone who is funny or patient is either not patient or rich and vice versa.
If someone is both wise and not generous then someo... | Lucy is old. | entailment | (![X]:(strong(X)=>(~old(X)|~tall(X))))&
(![X]:(~generous(X)=>(~kind(X)<~>calm(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~happy(X)|~old(X))))&
(![X]:((funny(X)|patient(X))<=>(~patient(X)<~>rich(X))))&
((?[X]:((wise(X)&~generous(X))))=>(?[X]:((patient(X)|~happy(X)))))&
(((~strong(mary)|~calm(mary)))<=>((~tall(fred)|happy(... | old(lucy) | [
"p2",
"p6",
"p9",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5788809628663131098560218
% SZS output start Proof for 5788809628663131098560218
3. ! [X0] : ((~strong(X0) <~> ~rich(X0)) <=> (~old(X0) | ~happy(X0))) [input p2]
7. ! [X0] : ((brave(X0) & calm(X0)) <=> (wise(X0) | ~old(X0))) [input p6]
10. ! [X0] : (~happy(X0) => ~strong(X0)) [input p9]
1... | 0 |
If lucy is either humble or not brave then paul is not quiet or tall and vice versa. Everyone who is either happy or wise is brave or not curious. Everyone who is either generous or not wise is not calm and vice versa. Everyone who is either not curious or not humble is both not happy and not old. If someone is either ... | Mary is quiet. | entailment | (((humble(lucy)<~>~brave(lucy)))<=>((~quiet(paul)|tall(paul))))&
(![X]:((happy(X)<~>wise(X))=>(brave(X)|~curious(X))))&
(![X]:((generous(X)<~>~wise(X))<=>~calm(X)))&
(![X]:((~curious(X)<~>~humble(X))=>(~happy(X)&~old(X))))&
((?[X]:((old(X)<~>brave(X))))<=>((~generous(lucy)|strong(lucy))))&
((humble(mary))=>(?[X]:((quie... | quiet(mary) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8022115371102304288682453
% SZS output start Proof for 8022115371102304288682453
9. ? [X0] : ~creative(X0) <=> (quiet(mary) & ~patient(mary)) [input p8]
17. ~creative(john) [input p16]
25. ~quiet(mary) [input hypothesis]
55. (? [X0] : ~creative(X0) | (~quiet(mary) | patient(mary))) & ((qu... | 0 |
Everyone who is not brave or not wise is both wise and not wise. If someone is not happy then lucy is not kind. Everyone who is either rich or curious is either calm or not happy and vice versa. If someone is both not rich and not kind then paul is either creative or quiet. If someone is both humble and not kind then s... | John is happy. | entailment | (![X]:((~brave(X)|~wise(X))=>(wise(X)&~wise(X))))&
((?[X]:(~happy(X)))=>(~kind(lucy)))&
(![X]:((rich(X)<~>curious(X))<=>(calm(X)<~>~happy(X))))&
((?[X]:((~rich(X)&~kind(X))))=>((creative(paul)<~>quiet(paul))))&
((?[X]:((humble(X)&~kind(X))))=>(?[X]:((~tall(X)<~>creative(X)))))&
(![X]:((~generous(X)&calm(X))<=>(kind(X)&... | happy(john) | [
"p0",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2004026394545443969924553
% SZS output start Proof for 2004026394545443969924553
1. ! [X0] : ((~wise(X0) | ~brave(X0)) => (~wise(X0) & wise(X0))) [input p0]
7. ! [X0] : ((~creative(X0) & ~curious(X0)) <=> brave(X0)) [input p6]
8. ! [X0] : ((~generous(X0) | humble(X0)) <=> (curious(X0) & ~... | 0 |
Everyone who is both not quiet and rich is not humble.
Everyone who is not rich is brave and vice versa.
If fred is both not wise and not humble then someone is old or brave.
Everyone who is either calm or not wise is not kind or not old and vice versa.
Everyone who is both creative and calm is not patient or patient.
... | Mary is not creative. | neutral | (![X]:((~quiet(X)&rich(X))=>~humble(X)))&
(![X]:(~rich(X)<=>brave(X)))&
(((~wise(fred)&~humble(fred)))=>(?[X]:((old(X)|brave(X)))))&
(![X]:((calm(X)<~>~wise(X))<=>(~kind(X)|~old(X))))&
(![X]:((creative(X)&calm(X))=>(~patient(X)|patient(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:((~patient(X)|... | ~creative(mary) | [] | null | 0 |
Everyone who is both quiet and curious is either not generous or curious and vice versa.
Everyone who is not patient is both curious and generous.
If someone is creative or not humble then someone is not wise and vice versa.
Everyone who is both humble and patient is not calm or not tall and vice versa.
Everyone who is... | Fred is strong. | neutral | (![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>curious(X))))&
(![X]:(~patient(X)=>(curious(X)&generous(X))))&
((?[X]:((creative(X)|~humble(X))))<=>(?[X]:(~wise(X))))&
(![X]:((humble(X)&patient(X))<=>(~calm(X)|~tall(X))))&
(![X]:((happy(X)|~creative(X))=>(~wise(X)<~>creative(X))))&
(![X]:((~humble(X)<~>~funny(X))=>(~tal... | strong(fred) | [] | null | 0 |
Everyone who is not rich or not funny is either not creative or funny and vice versa.
Everyone who is both old and calm is either not strong or humble and vice versa.
If someone is either tall or not funny then alice is wise or not patient.
Everyone who is both not curious and humble is both not generous and brave and ... | Susan is not quiet. | contradiction | (![X]:((~rich(X)|~funny(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((old(X)&calm(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(cur... | ~quiet(susan) | [
"p1",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6779427940337727659935089
% SZS output start Proof for 6779427940337727659935089
2. ! [X0] : ((calm(X0) & old(X0)) <=> (~strong(X0) <~> humble(X0))) [input p1]
9. ! [X0] : ((~strong(X0) & strong(X0)) <=> (tall(X0) | calm(X0))) [input p8]
11. (~humble(susan) <~> ~quiet(susan)) <=> ? [X0] :... | 0 |
If susan is quiet then someone is both patient and not quiet.
Everyone who is not brave is either strong or not strong and vice versa.
If someone is either calm or brave then lucy is both funny and not patient.
If someone is either tall or quiet then john is funny and vice versa.
If susan is either curious or not happy... | Susan is old. | contradiction | ((quiet(susan))=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:(~brave(X)<=>(strong(X)<~>~strong(X))))&
((?[X]:((calm(X)<~>brave(X))))=>((funny(lucy)&~patient(lucy))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(funny(john)))&
(((curious(susan)<~>~happy(susan)))<=>((old(john)<~>tall(john))))&
((?[X]:((~wise(X)<~>~funny(X))))<=>(?[X]:... | old(susan) | [
"p1",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7541126893752038269541988
% SZS output start Proof for 7541126893752038269541988
2. ! [X0] : (~brave(X0) <=> (strong(X0) <~> ~strong(X0))) [input p1]
7. ! [X0] : (~brave(X0) => strong(X0)) [input p6]
10. (~strong(lucy) & patient(lucy)) <=> ? [X0] : (~happy(X0) | wise(X0)) [input p9]
11. ?... | 0 |
Everyone who is not tall is not calm.
If someone is either quiet or patient then someone is not calm and vice versa.
Everyone who is creative is rich and vice versa.
Everyone who is not funny or not kind is both not generous and rich and vice versa.
If someone is not calm or humble then susan is not strong.
Everyone wh... | Paul is kind. | entailment | (![X]:(~tall(X)=>~calm(X)))&
((?[X]:((quiet(X)<~>patient(X))))<=>(?[X]:(~calm(X))))&
(![X]:(creative(X)<=>rich(X)))&
(![X]:((~funny(X)|~kind(X))<=>(~generous(X)&rich(X))))&
((?[X]:((~calm(X)|humble(X))))=>(~strong(susan)))&
(![X]:(~brave(X)=>(~humble(X)<~>wise(X))))&
(![X]:(~quiet(X)=>~rich(X)))&
(![X]:((~quiet(X)&wise... | kind(paul) | [
"p2",
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4097450936714735109911162
% SZS output start Proof for 4097450936714735109911162
3. ! [X0] : (creative(X0) <=> rich(X0)) [input p2]
4. ! [X0] : ((~kind(X0) | ~funny(X0)) <=> (rich(X0) & ~generous(X0))) [input p3]
20. ~creative(paul) & tall(paul) [input p19]
25. ~kind(paul) [input hypothes... | 0 |
Everyone who is either not quiet or not tall is generous or not wise. Everyone who is both calm and not tall is quiet and vice versa. Everyone who is not patient is not happy and vice versa. Everyone who is either patient or old is either not patient or quiet. Everyone who is either not humble or rich is either calm or... | John is calm. | neutral | (![X]:((~quiet(X)<~>~tall(X))=>(generous(X)|~wise(X))))&
(![X]:((calm(X)&~tall(X))<=>quiet(X)))&
(![X]:(~patient(X)<=>~happy(X)))&
(![X]:((patient(X)<~>old(X))=>(~patient(X)<~>quiet(X))))&
(![X]:((~humble(X)<~>rich(X))<=>(calm(X)<~>~tall(X))))&
((?[X]:((~creative(X)|~tall(X))))<=>(?[X]:((rich(X)|~old(X)))))&
(((~creati... | calm(john) | [] | null | 0 |
If someone is not old then mary is either brave or not strong and vice versa.
If someone is either quiet or brave then someone is both not happy and calm.
Everyone who is either quiet or rich is not rich and vice versa.
Everyone who is either patient or not happy is either happy or generous and vice versa.
Everyone who... | Lucy is not generous. | neutral | ((?[X]:(~old(X)))<=>((brave(mary)<~>~strong(mary))))&
((?[X]:((quiet(X)<~>brave(X))))=>(?[X]:((~happy(X)&calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~rich(X)))&
(![X]:((patient(X)<~>~happy(X))<=>(happy(X)<~>generous(X))))&
(![X]:(~quiet(X)=>(wise(X)|~curious(X))))&
(![X]:((~rich(X)|~generous(X))<=>(~creative(X)<~>tall(X... | ~generous(lucy) | [] | null | 0 |
Everyone who is both not creative and kind is both not tall and kind and vice versa.
Everyone who is either funny or creative is both not happy and not tall.
If mary is either not funny or generous then john is humble or not calm and vice versa.
Everyone who is humble or old is not patient.
Everyone who is humble is bo... | Lucy is not quiet. | neutral | (![X]:((~creative(X)&kind(X))<=>(~tall(X)&kind(X))))&
(![X]:((funny(X)<~>creative(X))=>(~happy(X)&~tall(X))))&
(((~funny(mary)<~>generous(mary)))<=>((humble(john)|~calm(john))))&
(![X]:((humble(X)|old(X))=>~patient(X)))&
(![X]:(humble(X)<=>(~calm(X)&~wise(X))))&
(![X]:((~strong(X)<~>~calm(X))<=>(~curious(X)|~creative(X... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both quiet and tall is both strong and tall.
Everyone who is not humble is both quiet and not curious.
If someone is either not humble or tall then john is quiet and vice versa.
Everyone who is not funny is not humble or not rich and vice versa.
Everyone who is kind or not generous is both creative and ... | Susan is not patient. | neutral | (![X]:((quiet(X)&tall(X))=>(strong(X)&tall(X))))&
(![X]:(~humble(X)=>(quiet(X)&~curious(X))))&
((?[X]:((~humble(X)<~>tall(X))))<=>(quiet(john)))&
(![X]:(~funny(X)<=>(~humble(X)|~rich(X))))&
(![X]:((kind(X)|~generous(X))<=>(creative(X)&~funny(X))))&
(![X]:((~happy(X)|calm(X))=>(humble(X)&~quiet(X))))&
(![X]:((happy(X)<~... | ~patient(susan) | [] | null | 0 |
Everyone who is brave or not rich is not calm. If fred is quiet or not patient then someone is both strong and not curious. If someone is either patient or not wise then someone is either strong or happy and vice versa. Everyone who is old is either not brave or kind. Everyone who is not kind is not quiet or curious an... | Paul is not patient. | entailment | (![X]:((brave(X)|~rich(X))=>~calm(X)))&
(((quiet(fred)|~patient(fred)))=>(?[X]:((strong(X)&~curious(X)))))&
((?[X]:((patient(X)<~>~wise(X))))<=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:(old(X)=>(~brave(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(~quiet(X)|curious(X))))&
(![X]:(~calm(X)<=>(~happy(X)<~>strong(X))))&
(![X]:((~crea... | ~patient(paul) | [
"p0",
"p6",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6085748317143944345590695
% SZS output start Proof for 6085748317143944345590695
1. ! [X0] : ((~rich(X0) | brave(X0)) => ~calm(X0)) [input p0]
7. ! [X0] : ((rich(X0) | ~creative(X0)) <=> (old(X0) & ~patient(X0))) [input p6]
16. ! [X0] : ((calm(X0) & ~strong(X0)) <=> tall(X0)) [input p15]
... | 0 |
If john is brave then someone is not funny or happy and vice versa.
If someone is funny then someone is both old and calm.
Everyone who is both not creative and brave is both not humble and not calm.
If someone is happy then alice is either brave or not kind.
If someone is either happy or not calm then someone is not k... | Alice is not rich. | contradiction | ((brave(john))<=>(?[X]:((~funny(X)|happy(X)))))&
((?[X]:(funny(X)))=>(?[X]:((old(X)&calm(X)))))&
(![X]:((~creative(X)&brave(X))=>(~humble(X)&~calm(X))))&
((?[X]:(happy(X)))=>((brave(alice)<~>~kind(alice))))&
((?[X]:((happy(X)<~>~calm(X))))<=>(?[X]:(~kind(X))))&
((~calm(susan))=>(?[X]:(~happy(X))))&
(![X]:((~patient(X)&... | ~rich(alice) | [
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8797733281024966931843180
% SZS output start Proof for 8797733281024966931843180
14. (rich(alice) <~> ~old(alice)) <=> ? [X0] : ~rich(X0) [input p13]
22. old(alice) | rich(alice) [input p21]
25. ~rich(alice) [input hypothesis]
65. (((old(alice) | ~rich(alice)) & (~old(alice) | rich(alice)... | 0 |
If someone is both generous and quiet then someone is both not creative and brave and vice versa.
Everyone who is both not curious and creative is both not curious and not calm and vice versa.
If someone is not strong then someone is either creative or not old.
Everyone who is either funny or creative is either humble ... | Mary is curious. | neutral | ((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((~curious(X)&creative(X))<=>(~curious(X)&~calm(X))))&
((?[X]:(~strong(X)))=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:((funny(X)<~>creative(X))<=>(humble(X)<~>creative(X))))&
(((happy(alice)|~generous(alice)))=>((brave(mary)|calm(mary))))&
(![X... | curious(mary) | [] | null | 0 |
If paul is not generous or not kind then alice is both not rich and not patient and vice versa.
Everyone who is either tall or not wise is either not humble or wise and vice versa.
If someone is generous then someone is wise or not strong.
If fred is both not happy and wise then someone is not patient and vice versa.
I... | Paul is tall. | entailment | (((~generous(paul)|~kind(paul)))<=>((~rich(alice)&~patient(alice))))&
(![X]:((tall(X)<~>~wise(X))<=>(~humble(X)<~>wise(X))))&
((?[X]:(generous(X)))=>(?[X]:((wise(X)|~strong(X)))))&
(((~happy(fred)&wise(fred)))<=>(?[X]:(~patient(X))))&
(((~calm(lucy)<~>old(lucy)))=>(brave(alice)))&
(![X]:(humble(X)=>(~brave(X)<~>rich(X)... | tall(paul) | [
"p9",
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3441277450800099362336520
% SZS output start Proof for 3441277450800099362336520
10. ! [X0] : ((~old(X0) <~> tall(X0)) <=> (~kind(X0) <~> brave(X0))) [input p9]
13. ! [X0] : ((~curious(X0) | ~rich(X0)) => (old(X0) <~> kind(X0))) [input p12]
21. ~brave(paul) [input p20]
22. ~curious(paul) ... | 0 |
Everyone who is either not tall or old is not creative or not happy and vice versa. If someone is either strong or wise then alice is curious. Everyone who is both old and quiet is wise or not old and vice versa. Everyone who is kind or not old is not happy and vice versa. If someone is kind then someone is both not hu... | Alice is happy. | entailment | (![X]:((~tall(X)<~>old(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((strong(X)<~>wise(X))))=>(curious(alice)))&
(![X]:((old(X)&quiet(X))<=>(wise(X)|~old(X))))&
(![X]:((kind(X)|~old(X))<=>~happy(X)))&
((?[X]:(kind(X)))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:((~strong(X)<~>rich(X))<=>(~curious(X)|~calm(X))))&
(![X]:((kind(X... | happy(alice) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8977152209014436577643942
% SZS output start Proof for 8977152209014436577643942
3. ! [X0] : ((quiet(X0) & old(X0)) <=> (~old(X0) | wise(X0))) [input p2]
4. ! [X0] : ((~old(X0) | kind(X0)) <=> ~happy(X0)) [input p3]
5. ? [X0] : kind(X0) => ? [X0] : (~old(X0) & ~humble(X0)) [input p4]
23. ... | 0 |
Everyone who is not wise or not curious is both not curious and not brave and vice versa.
If fred is either quiet or old then someone is not generous and vice versa.
Everyone who is not strong is both not happy and not rich and vice versa.
If fred is both creative and not happy then someone is either calm or old.
If so... | Fred is tall. | entailment | (![X]:((~wise(X)|~curious(X))<=>(~curious(X)&~brave(X))))&
(((quiet(fred)<~>old(fred)))<=>(?[X]:(~generous(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(((creative(fred)&~happy(fred)))=>(?[X]:((calm(X)<~>old(X)))))&
((?[X]:((~old(X)&old(X))))<=>(?[X]:((humble(X)&~quiet(X)))))&
(((~brave(susan)|curious(susan)))<=>... | tall(fred) | [
"p0",
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5121207958398258670775069
% SZS output start Proof for 5121207958398258670775069
1. ! [X0] : ((~curious(X0) | ~wise(X0)) <=> (~brave(X0) & ~curious(X0))) [input p0]
3. ! [X0] : (~strong(X0) <=> (~rich(X0) & ~happy(X0))) [input p2]
10. ! [X0] : (~wise(X0) => (~brave(X0) <~> strong(X0))) [i... | 0 |
Everyone who is happy is both old and not generous.
Everyone who is not funny is both curious and not humble and vice versa.
If lucy is either old or not calm then susan is either not quiet or calm.
If someone is old or not rich then someone is both not quiet and not tall.
If someone is both not patient and tall then f... | Paul is funny. | entailment | (![X]:(happy(X)=>(old(X)&~generous(X))))&
(![X]:(~funny(X)<=>(curious(X)&~humble(X))))&
(((old(lucy)<~>~calm(lucy)))=>((~quiet(susan)<~>calm(susan))))&
((?[X]:((old(X)|~rich(X))))=>(?[X]:((~quiet(X)&~tall(X)))))&
((?[X]:((~patient(X)&tall(X))))=>((~generous(fred)|~wise(fred))))&
(![X]:(~patient(X)<=>(rich(X)<~>~patient... | funny(paul) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5400096978510382360249604
% SZS output start Proof for 5400096978510382360249604
2. ! [X0] : (~funny(X0) <=> (~humble(X0) & curious(X0))) [input p1]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~patient(X0))) [input p5]
14. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~rich(X0) | kind(X0))) [... | 0 |
If john is either happy or old then someone is both not curious and not humble and vice versa.
If susan is not humble then someone is both not tall and not brave and vice versa.
Everyone who is both not calm and not humble is happy and vice versa.
If someone is funny then paul is both not happy and not humble and vice ... | Fred is humble. | neutral | (((happy(john)<~>old(john)))<=>(?[X]:((~curious(X)&~humble(X)))))&
((~humble(susan))<=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((~calm(X)&~humble(X))<=>happy(X)))&
((?[X]:(funny(X)))<=>((~happy(paul)&~humble(paul))))&
((?[X]:(generous(X)))=>(?[X]:((~strong(X)<~>~calm(X)))))&
(((~kind(john)<~>tall(john)))=>(?[X]:(~curious... | humble(fred) | [] | null | 0 |
If john is both not wise and not humble then alice is patient. If someone is both funny and not creative then susan is both not calm and not strong. Everyone who is not brave is kind. Everyone who is not funny is funny or not strong and vice versa. Everyone who is both patient and creative is both not kind and funny an... | Mary is creative. | contradiction | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((~calm(susan)&~strong(susan))))&
(![X]:(~brave(X)=>kind(X)))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~creative... | creative(mary) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 30268784554447244156108
% SZS output start Proof for 30268784554447244156108
7. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p6]
21. generous(mary) & ~tall(mary) [input p20]
25. creative(mary) [input hypothesis]
43. ! [X0] : ((~creative(X0) | tall(X0)) & (~tall(X0) | creative(X0))) [nnf ... | 0 |
Everyone who is rich or not wise is both kind and not curious.
If lucy is both not kind and tall then john is strong or not wise and vice versa.
If someone is both not rich and old then someone is both not rich and curious and vice versa.
Everyone who is kind is both not strong and quiet and vice versa.
If fred is rich... | Lucy is kind. | entailment | (![X]:((rich(X)|~wise(X))=>(kind(X)&~curious(X))))&
(((~kind(lucy)&tall(lucy)))<=>((strong(john)|~wise(john))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((~rich(X)&curious(X)))))&
(![X]:(kind(X)<=>(~strong(X)&quiet(X))))&
((rich(fred))<=>(~curious(john)))&
(![X]:((~kind(X)<~>patient(X))<=>creative(X)))&
((?[X]:((~funny(X)&... | kind(lucy) | [
"p3",
"p8",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3627025709638302322725990
% SZS output start Proof for 3627025709638302322725990
4. ! [X0] : (kind(X0) <=> (quiet(X0) & ~strong(X0))) [input p3]
9. ! [X0] : ((~humble(X0) | ~happy(X0)) => quiet(X0)) [input p8]
11. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (~old(X0) & ~happy(X0))) [input p10]... | 0 |
Everyone who is funny or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich is both pati... | Paul is patient. | contradiction | (![X]:((funny(X)|~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X)))&
((... | patient(paul) | [
"p0",
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5601783120170482633193351
% SZS output start Proof for 5601783120170482633193351
1. ! [X0] : ((~quiet(X0) | funny(X0)) => (kind(X0) & ~patient(X0))) [input p0]
6. ! [X0] : ((funny(X0) | strong(X0)) <=> generous(X0)) [input p5]
10. ! [X0] : ((creative(X0) | ~funny(X0)) <=> (~calm(X0) & ~st... | 0 |
Everyone who is brave is not patient or not happy and vice versa.
Everyone who is not rich or old is tall or not happy.
If fred is both not old and funny then someone is not kind or patient and vice versa.
If someone is kind or creative then someone is either not patient or patient and vice versa.
Everyone who is funny... | Susan is curious. | neutral | (![X]:(brave(X)<=>(~patient(X)|~happy(X))))&
(![X]:((~rich(X)|old(X))=>(tall(X)|~happy(X))))&
(((~old(fred)&funny(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
((?[X]:((kind(X)|creative(X))))<=>(?[X]:((~patient(X)<~>patient(X)))))&
(![X]:((funny(X)|humble(X))=>~calm(X)))&
(![X]:((~quiet(X)<~>wise(X))<=>(~brave(X)|~calm(X)... | curious(susan) | [] | null | 0 |
If mary is either wise or not curious then paul is curious or quiet and vice versa. Everyone who is not creative is patient or funny and vice versa. Everyone who is both not wise and brave is both happy and wise and vice versa. Everyone who is either not tall or happy is old or humble. Everyone who is creative or not g... | John is brave. | neutral | (((wise(mary)<~>~curious(mary)))<=>((curious(paul)|quiet(paul))))&
(![X]:(~creative(X)<=>(patient(X)|funny(X))))&
(![X]:((~wise(X)&brave(X))<=>(happy(X)&wise(X))))&
(![X]:((~tall(X)<~>happy(X))=>(old(X)|humble(X))))&
(![X]:((creative(X)|~generous(X))<=>(happy(X)<~>~calm(X))))&
((?[X]:((strong(X)<~>~curious(X))))=>((cre... | brave(john) | [] | null | 0 |
Everyone who is both rich and generous is generous or curious.
If john is not funny or wise then someone is both not wise and not creative and vice versa.
If someone is either not generous or brave then lucy is either not wise or old.
Everyone who is not brave is not creative or quiet.
Everyone who is tall is curious o... | Mary is not old. | entailment | (![X]:((rich(X)&generous(X))=>(generous(X)|curious(X))))&
(((~funny(john)|wise(john)))<=>(?[X]:((~wise(X)&~creative(X)))))&
((?[X]:((~generous(X)<~>brave(X))))=>((~wise(lucy)<~>old(lucy))))&
(![X]:(~brave(X)=>(~creative(X)|quiet(X))))&
(![X]:(tall(X)<=>(curious(X)|brave(X))))&
(![X]:((curious(X)<~>strong(X))=>quiet(X))... | ~old(mary) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1928925345132191557233271
% SZS output start Proof for 1928925345132191557233271
4. ! [X0] : (~brave(X0) => (quiet(X0) | ~creative(X0))) [input p3]
5. ! [X0] : (tall(X0) <=> (brave(X0) | curious(X0))) [input p4]
9. ~old(mary) <=> ? [X0] : (rich(X0) | kind(X0)) [input p8]
10. ! [X0] : (cre... | 0 |
If mary is creative or kind then paul is rich.
Everyone who is both happy and kind is not quiet and vice versa.
Everyone who is old is either old or quiet and vice versa.
If fred is both strong and not rich then lucy is both not humble and tall and vice versa.
Everyone who is not humble or strong is both not happy and ... | Alice is tall. | neutral | (((creative(mary)|kind(mary)))=>(rich(paul)))&
(![X]:((happy(X)&kind(X))<=>~quiet(X)))&
(![X]:(old(X)<=>(old(X)<~>quiet(X))))&
(((strong(fred)&~rich(fred)))<=>((~humble(lucy)&tall(lucy))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|cur... | tall(alice) | [] | null | 0 |
Everyone who is not calm is both old and rich. Everyone who is curious or not tall is not strong or not happy and vice versa. Everyone who is both quiet and not kind is either creative or brave. If someone is both curious and not humble then susan is both not happy and brave. Everyone who is both tall and rich is humbl... | Paul is not humble. | entailment | (![X]:(~calm(X)=>(old(X)&rich(X))))&
(![X]:((curious(X)|~tall(X))<=>(~strong(X)|~happy(X))))&
(![X]:((quiet(X)&~kind(X))=>(creative(X)<~>brave(X))))&
((?[X]:((curious(X)&~humble(X))))=>((~happy(susan)&brave(susan))))&
(![X]:((tall(X)&rich(X))<=>(humble(X)|generous(X))))&
((?[X]:(~humble(X)))=>((quiet(alice)<~>~curious(... | ~humble(paul) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5718100281354671541830336
% SZS output start Proof for 5718100281354671541830336
5. ! [X0] : ((rich(X0) & tall(X0)) <=> (generous(X0) | humble(X0))) [input p4]
22. funny(paul) & ~rich(paul) [input p21]
25. humble(paul) [input hypothesis]
40. ! [X0] : (((rich(X0) & tall(X0)) | (~generous(X... | 0 |
Everyone who is curious or tall is not brave.
Everyone who is either wise or not rich is both creative and quiet and vice versa.
Everyone who is either humble or old is either kind or tall.
Everyone who is patient or not kind is both wise and not happy.
If someone is not strong then someone is both strong and brave.
Ev... | Susan is not strong. | contradiction | (![X]:((curious(X)|tall(X))=>~brave(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>old(X))=>(kind(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(wise(X)&~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(~patient(X)&~strong(X))))&
(![... | ~strong(susan) | [
"p0",
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3037193763610201996230476
% SZS output start Proof for 3037193763610201996230476
1. ! [X0] : ((tall(X0) | curious(X0)) => ~brave(X0)) [input p0]
5. ? [X0] : ~strong(X0) => ? [X0] : (brave(X0) & strong(X0)) [input p4]
6. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (~strong(X0) & ~patient(X0))... | 0 |
Everyone who is either patient or not wise is humble and vice versa. Everyone who is both not calm and not quiet is happy. Everyone who is either creative or kind is either calm or not wise. If lucy is rich then paul is not quiet or brave. Everyone who is both not strong and not quiet is both tall and old. If someone i... | Paul is not happy. | contradiction | (![X]:((patient(X)<~>~wise(X))<=>humble(X)))&
(![X]:((~calm(X)&~quiet(X))=>happy(X)))&
(![X]:((creative(X)<~>kind(X))=>(calm(X)<~>~wise(X))))&
((rich(lucy))=>((~quiet(paul)|brave(paul))))&
(![X]:((~strong(X)&~quiet(X))=>(tall(X)&old(X))))&
((?[X]:(~creative(X)))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(tall(X)&kind(X))))... | ~happy(paul) | [
"p0",
"p1",
"p2",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 191222635723962863253555
% SZS output start Proof for 191222635723962863253555
1. ! [X0] : ((patient(X0) <~> ~wise(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) & ~calm(X0)) => happy(X0)) [input p1]
3. ! [X0] : ((creative(X0) <~> kind(X0)) => (calm(X0) <~> ~wise(X0))) [input p2... | 0 |
If mary is both strong and patient then someone is either not rich or not brave.
Everyone who is not brave is old.
If fred is not happy or happy then lucy is both not creative and not patient and vice versa.
Everyone who is both happy and patient is creative or brave and vice versa.
If someone is patient then lucy is e... | Lucy is patient. | contradiction | (((strong(mary)&patient(mary)))=>(?[X]:((~rich(X)<~>~brave(X)))))&
(![X]:(~brave(X)=>old(X)))&
(((~happy(fred)|happy(fred)))<=>((~creative(lucy)&~patient(lucy))))&
(![X]:((happy(X)&patient(X))<=>(creative(X)|brave(X))))&
((?[X]:(patient(X)))=>((funny(lucy)<~>~curious(lucy))))&
(![X]:(humble(X)<=>(kind(X)|funny(X))))&
(... | patient(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 698015855545368734693677
% SZS output start Proof for 698015855545368734693677
3. (happy(fred) | ~happy(fred)) <=> (~patient(lucy) & ~creative(lucy)) [input p2]
25. patient(lucy) [input hypothesis]
39. ((happy(fred) | ~happy(fred)) | (patient(lucy) | creative(lucy))) & ((~patient(lucy) & ... | 0 |
Everyone who is not brave or not kind is not old or not brave and vice versa.
Everyone who is humble or curious is not generous.
Everyone who is not funny or not old is either curious or brave and vice versa.
If john is not rich then someone is rich or kind.
If someone is not wise then someone is funny or not funny and... | Lucy is rich. | contradiction | (![X]:((~brave(X)|~kind(X))<=>(~old(X)|~brave(X))))&
(![X]:((humble(X)|curious(X))=>~generous(X)))&
(![X]:((~funny(X)|~old(X))<=>(curious(X)<~>brave(X))))&
((~rich(john))=>(?[X]:((rich(X)|kind(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((funny(X)|~funny(X)))))&
(((happy(susan)|rich(susan)))<=>((~creative(mary)<~>kind(mary))))&... | rich(lucy) | [
"p1",
"p13",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4627616554353395916809738
% SZS output start Proof for 4627616554353395916809738
2. ! [X0] : ((curious(X0) | humble(X0)) => ~generous(X0)) [input p1]
14. ! [X0] : ((kind(X0) | ~strong(X0)) => (~curious(X0) <~> rich(X0))) [input p13]
18. kind(lucy) | curious(lucy) [input p17]
23. generous(... | 0 |
Everyone who is both patient and wise is not creative or not generous and vice versa. If someone is happy or creative then someone is generous. If fred is either tall or strong then john is not rich. Everyone who is both not quiet and quiet is not creative or not rich and vice versa. Everyone who is both not wise and r... | Susan is patient. | contradiction | (![X]:((patient(X)&wise(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((happy(X)|creative(X))))=>(?[X]:(generous(X))))&
(((tall(fred)<~>strong(fred)))=>(~rich(john)))&
(![X]:((~quiet(X)&quiet(X))<=>(~creative(X)|~rich(X))))&
(![X]:((~wise(X)&rich(X))<=>(~tall(X)<~>~generous(X))))&
(((kind(john)<~>brave(john)))=>(generous... | patient(susan) | [
"p0",
"p3",
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7907861868240494713227792
% SZS output start Proof for 7907861868240494713227792
1. ! [X0] : ((wise(X0) & patient(X0)) <=> (~generous(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~rich(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((rich(X0) & ~wise(X0)) <=> ... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If susan is both creative and kind then someone is not patient.
Everyone who is both not humble and not happy is kind or generous and vice versa.
Everyone who is not rich is not curious or not rich.
Everyone who is both not wise and calm... | Lucy is not strong. | neutral | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(~patient(X))))&
(![X]:((~humble(X)&~happy(X))<=>(kind(X)|generous(X))))&
(![X]:(~rich(X)=>(~curious(X)|~rich(X))))&
(![X]:((~wise(X)&calm(X))<=>(~tall(X)|quiet(X))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>old(X))))&
((?[X]:((~... | ~strong(lucy) | [] | null | 0 |
Everyone who is kind or not rich is wise or not tall.
Everyone who is not calm is either generous or kind.
Everyone who is either not funny or not patient is either creative or old.
If someone is either wise or funny then lucy is either not brave or funny and vice versa.
If someone is either not quiet or not generous t... | Lucy is not generous. | neutral | (![X]:((kind(X)|~rich(X))=>(wise(X)|~tall(X))))&
(![X]:(~calm(X)=>(generous(X)<~>kind(X))))&
(![X]:((~funny(X)<~>~patient(X))=>(creative(X)<~>old(X))))&
((?[X]:((wise(X)<~>funny(X))))<=>((~brave(lucy)<~>funny(lucy))))&
((?[X]:((~quiet(X)<~>~generous(X))))<=>(?[X]:((happy(X)|rich(X)))))&
((?[X]:(funny(X)))=>(rich(alice)... | ~generous(lucy) | [] | null | 0 |
Everyone who is either humble or not funny is patient and vice versa. Everyone who is brave or not kind is either wise or not brave and vice versa. Everyone who is either not happy or patient is both tall and funny. If paul is strong or curious then john is both strong and happy. If lucy is tall then someone is not hum... | John is not happy. | neutral | (![X]:((humble(X)<~>~funny(X))<=>patient(X)))&
(![X]:((brave(X)|~kind(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~happy(X)<~>patient(X))=>(tall(X)&funny(X))))&
(((strong(paul)|curious(paul)))=>((strong(john)&happy(john))))&
((tall(lucy))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:((~quiet(X)&brave(X))=>(~wise(X)<~>funny(X))))&... | ~happy(john) | [] | null | 0 |
Everyone who is tall or brave is wise or tall and vice versa.
If someone is not creative or old then someone is curious.
Everyone who is kind or not brave is either not brave or patient and vice versa.
Everyone who is not kind is generous or funny and vice versa.
If someone is either happy or creative then someone is n... | Mary is not generous. | entailment | (![X]:((tall(X)|brave(X))<=>(wise(X)|tall(X))))&
((?[X]:((~creative(X)|old(X))))=>(?[X]:(curious(X))))&
(![X]:((kind(X)|~brave(X))<=>(~brave(X)<~>patient(X))))&
(![X]:(~kind(X)<=>(generous(X)|funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~generous(X)<~>kind(X))=>(happy(X)|~humble(X))))&... | ~generous(mary) | [
"p3",
"p12",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 68313993203709610993681
% SZS output start Proof for 68313993203709610993681
4. ! [X0] : (~kind(X0) <=> (funny(X0) | generous(X0))) [input p3]
13. (~quiet(susan) & ~curious(susan)) <=> ? [X0] : (funny(X0) | ~brave(X0)) [input p12]
17. kind(mary) <~> ~brave(mary) [input p16]
19. curious(su... | 0 |
Everyone who is not humble or humble is not kind or not rich and vice versa.
If someone is either quiet or kind then john is either old or not creative and vice versa.
If someone is both calm and not patient then someone is both patient and wise and vice versa.
If someone is either quiet or not rich then someone is eit... | Lucy is not strong. | neutral | (![X]:((~humble(X)|humble(X))<=>(~kind(X)|~rich(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>((old(john)<~>~creative(john))))&
((?[X]:((calm(X)&~patient(X))))<=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:((quiet(X)<~>~rich(X))))=>(?[X]:((~funny(X)<~>tall(X)))))&
(((kind(alice)|~calm(alice)))=>((patient(lucy)|~rich(lucy))))&
(((... | ~strong(lucy) | [] | null | 0 |
If someone is not rich or not curious then john is not quiet. Everyone who is creative or humble is either generous or curious. Everyone who is not humble or not calm is brave or creative and vice versa. Everyone who is both not tall and tall is either not rich or not strong and vice versa. If alice is both patient and... | Fred is funny. | entailment | ((?[X]:((~rich(X)|~curious(X))))=>(~quiet(john)))&
(![X]:((creative(X)|humble(X))=>(generous(X)<~>curious(X))))&
(![X]:((~humble(X)|~calm(X))<=>(brave(X)|creative(X))))&
(![X]:((~tall(X)&tall(X))<=>(~rich(X)<~>~strong(X))))&
(((patient(alice)&humble(alice)))<=>(?[X]:((kind(X)&~curious(X)))))&
(![X]:(~strong(X)<=>(~humb... | funny(fred) | [
"p1",
"p3",
"p11",
"p13",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 280325540415068206694796
% SZS output start Proof for 280325540415068206694796
2. ! [X0] : ((humble(X0) | creative(X0)) => (generous(X0) <~> curious(X0))) [input p1]
4. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~rich(X0) <~> ~strong(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) | rich(X0)) => (~... | 0 |
Everyone who is both not wise and not kind is not curious or not creative and vice versa.
Everyone who is not rich is not rich or not funny.
Everyone who is happy is kind or rich.
Everyone who is either kind or not funny is both curious and not tall and vice versa.
If mary is not generous or not patient then john is bo... | Susan is not kind. | neutral | (![X]:((~wise(X)&~kind(X))<=>(~curious(X)|~creative(X))))&
(![X]:(~rich(X)=>(~rich(X)|~funny(X))))&
(![X]:(happy(X)=>(kind(X)|rich(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(curious(X)&~tall(X))))&
(((~generous(mary)|~patient(mary)))=>((tall(john)&happy(john))))&
(![X]:(~calm(X)<=>(~calm(X)|old(X))))&
((?[X]:((funny(X)&hum... | ~kind(susan) | [] | null | 0 |
Everyone who is either rich or not rich is wise or quiet and vice versa. Everyone who is tall is rich and vice versa. Everyone who is patient is tall or not generous. If mary is old then lucy is both humble and tall and vice versa. Everyone who is either humble or not brave is both not patient and curious and vice vers... | Paul is creative. | neutral | (![X]:((rich(X)<~>~rich(X))<=>(wise(X)|quiet(X))))&
(![X]:(tall(X)<=>rich(X)))&
(![X]:(patient(X)=>(tall(X)|~generous(X))))&
((old(mary))<=>((humble(lucy)&tall(lucy))))&
(![X]:((humble(X)<~>~brave(X))<=>(~patient(X)&curious(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(rich(X)&~rich(X))))&
(![X]:(~funny(X)=>~calm(X)))&
(![X... | creative(paul) | [] | null | 0 |
If paul is both tall and generous then someone is not creative and vice versa.
Everyone who is quiet or brave is wise.
If someone is both rich and tall then someone is either not quiet or not strong.
Everyone who is not old is kind or creative.
Everyone who is humble or patient is not tall.
If someone is not brave then... | Mary is not calm. | entailment | (((tall(paul)&generous(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((quiet(X)|brave(X))=>wise(X)))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~quiet(X)<~>~strong(X)))))&
(![X]:(~old(X)=>(kind(X)|creative(X))))&
(![X]:((humble(X)|patient(X))=>~tall(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)|funny(X)))))&
(![X]:((generous(X)|~g... | ~calm(mary) | [
"p0",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3701312760776905728732139
% SZS output start Proof for 3701312760776905728732139
1. (generous(paul) & tall(paul)) <=> ? [X0] : ~creative(X0) [input p0]
5. ! [X0] : ((patient(X0) | humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : ((~generous(X0) | generous(X0)) => (patient(X0) & old(X0))) ... | 0 |
Everyone who is not old or not funny is not strong or happy and vice versa.
Everyone who is either not curious or not humble is both strong and not funny.
Everyone who is either not calm or generous is strong or tall.
If paul is not humble then susan is patient or not brave and vice versa.
If paul is either not rich or... | Lucy is funny. | contradiction | (![X]:((~old(X)|~funny(X))<=>(~strong(X)|happy(X))))&
(![X]:((~curious(X)<~>~humble(X))=>(strong(X)&~funny(X))))&
(![X]:((~calm(X)<~>generous(X))=>(strong(X)|tall(X))))&
((~humble(paul))<=>((patient(susan)|~brave(susan))))&
(((~rich(paul)<~>patient(paul)))=>((happy(fred)&~rich(fred))))&
((?[X]:(tall(X)))<=>(?[X]:(~curi... | funny(lucy) | [
"p1",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5726402334755928010104062
% SZS output start Proof for 5726402334755928010104062
2. ! [X0] : ((~curious(X0) <~> ~humble(X0)) => (~funny(X0) & strong(X0))) [input p1]
15. ! [X0] : (~generous(X0) => (~patient(X0) & ~strong(X0))) [input p14]
16. ? [X0] : (curious(X0) | ~brave(X0)) => ? [X0] ... | 0 |
Everyone who is either brave or funny is both rich and not patient and vice versa.
Everyone who is not wise or not calm is not rich or not creative.
Everyone who is tall or not strong is either not calm or brave and vice versa.
If lucy is not curious or not happy then someone is not old or not kind.
Everyone who is bot... | John is not funny. | entailment | (![X]:((brave(X)<~>funny(X))<=>(rich(X)&~patient(X))))&
(![X]:((~wise(X)|~calm(X))=>(~rich(X)|~creative(X))))&
(![X]:((tall(X)|~strong(X))<=>(~calm(X)<~>brave(X))))&
(((~curious(lucy)|~happy(lucy)))=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((calm(X)&tall(X))=>~kind(X)))&
(![X]:((creative(X)|~kind(X))<=>(~calm(X)<~>happy(X)... | ~funny(john) | [
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1220691258387603985955241
% SZS output start Proof for 1220691258387603985955241
13. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> (strong(X0) & ~creative(X0))) [input p12]
14. ! [X0] : ((strong(X0) <~> ~creative(X0)) => (rich(X0) & ~curious(X0))) [input p13]
15. (generous(john) & curious(j... | 0 |
Everyone who is either generous or curious is either not funny or rich and vice versa. Everyone who is brave or not brave is not funny or humble. Everyone who is either curious or kind is either not kind or not patient and vice versa. Everyone who is both not old and not kind is not strong and vice versa. Everyone who ... | Mary is curious. | contradiction | (![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)&~kind(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(~old(X)&calm(X))))&
(![X]:((~curious(X)|~humble(X))=>rich(X)))&
(![X]:((~quiet(X)&wi... | curious(mary) | [
"p2",
"p4",
"p6",
"p9",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8577389388976113435904435
% SZS output start Proof for 8577389388976113435904435
3. ! [X0] : ((curious(X0) <~> kind(X0)) <=> (~kind(X0) <~> ~patient(X0))) [input p2]
5. ! [X0] : (~tall(X0) <=> (calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> curious(X0)) [input p... | 0 |
Everyone who is not generous or not quiet is both not curious and not humble.
Everyone who is patient is wise.
If john is both happy and not creative then someone is not patient and vice versa.
Everyone who is both funny and not happy is either not strong or not funny and vice versa.
If someone is happy or not curious ... | Paul is not tall. | entailment | (![X]:((~generous(X)|~quiet(X))=>(~curious(X)&~humble(X))))&
(![X]:(patient(X)=>wise(X)))&
(((happy(john)&~creative(john)))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)&~happy(X))<=>(~strong(X)<~>~funny(X))))&
((?[X]:((happy(X)|~curious(X))))=>(?[X]:((~wise(X)&patient(X)))))&
((?[X]:((strong(X)|brave(X))))<=>((creative(lu... | ~tall(paul) | [
"p1",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8569693579740838122586854
% SZS output start Proof for 8569693579740838122586854
2. ! [X0] : (patient(X0) => wise(X0)) [input p1]
4. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~strong(X0) <~> ~funny(X0))) [input p3]
5. ? [X0] : (~curious(X0) | happy(X0)) => ? [X0] : (patient(X0) & ~wise(X0))... | 0 |
Everyone who is both funny and wise is either not quiet or wise and vice versa.
If someone is not funny or calm then john is not creative.
Everyone who is both kind and not happy is both not old and quiet and vice versa.
Everyone who is not patient is either tall or not patient and vice versa.
If someone is both brave ... | John is creative. | contradiction | (![X]:((funny(X)&wise(X))<=>(~quiet(X)<~>wise(X))))&
((?[X]:((~funny(X)|calm(X))))=>(~creative(john)))&
(![X]:((kind(X)&~happy(X))<=>(~old(X)&quiet(X))))&
(![X]:(~patient(X)<=>(tall(X)<~>~patient(X))))&
((?[X]:((brave(X)&~old(X))))<=>((wise(paul)&~patient(paul))))&
(![X]:((strong(X)<~>~rich(X))=>(~old(X)|~strong(X))))&... | creative(john) | [
"p0",
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2781203671994912784631363
% SZS output start Proof for 2781203671994912784631363
1. ! [X0] : ((wise(X0) & funny(X0)) <=> (~quiet(X0) <~> wise(X0))) [input p0]
2. ? [X0] : (calm(X0) | ~funny(X0)) => ~creative(john) [input p1]
10. (funny(lucy) | happy(lucy)) => (~quiet(paul) & ~happy(paul))... | 0 |
If someone is creative or wise then john is patient or creative and vice versa.
Everyone who is calm or not brave is brave.
If someone is quiet then john is not old and vice versa.
Everyone who is happy or generous is patient and vice versa.
Everyone who is either humble or not tall is either strong or not curious.
If ... | Alice is patient. | entailment | ((?[X]:((creative(X)|wise(X))))<=>((patient(john)|creative(john))))&
(![X]:((calm(X)|~brave(X))=>brave(X)))&
((?[X]:(quiet(X)))<=>(~old(john)))&
(![X]:((happy(X)|generous(X))<=>patient(X)))&
(![X]:((humble(X)<~>~tall(X))=>(strong(X)<~>~curious(X))))&
((?[X]:((~kind(X)<~>brave(X))))=>(?[X]:((~wise(X)|~creative(X)))))&
(... | patient(alice) | [
"p3",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1974522269522645459602414
% SZS output start Proof for 1974522269522645459602414
4. ! [X0] : ((generous(X0) | happy(X0)) <=> patient(X0)) [input p3]
13. ! [X0] : ((generous(X0) | ~kind(X0)) => happy(X0)) [input p12]
19. kind(alice) <~> ~happy(alice) [input p18]
23. ~patient(alice) [input ... | 0 |
Everyone who is creative or strong is not brave.
If someone is both not quiet and generous then someone is tall or not wise and vice versa.
If someone is either tall or not generous then someone is both calm and not tall and vice versa.
If someone is either not old or creative then someone is either calm or not curious... | Mary is not strong. | contradiction | (![X]:((creative(X)|strong(X))=>~brave(X)))&
((?[X]:((~quiet(X)&generous(X))))<=>(?[X]:((tall(X)|~wise(X)))))&
((?[X]:((tall(X)<~>~generous(X))))<=>(?[X]:((calm(X)&~tall(X)))))&
((?[X]:((~old(X)<~>creative(X))))<=>(?[X]:((calm(X)<~>~curious(X)))))&
(![X]:((curious(X)|~curious(X))=>(~calm(X)|kind(X))))&
(((~patient(mary... | ~strong(mary) | [
"p0",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 951560537190443202251358
% SZS output start Proof for 951560537190443202251358
1. ! [X0] : ((strong(X0) | creative(X0)) => ~brave(X0)) [input p0]
6. (~quiet(mary) | ~patient(mary)) => (brave(john) & humble(john)) [input p5]
10. ! [X0] : (creative(X0) <=> ~strong(X0)) [input p9]
11. ! [X0]... | 0 |
Everyone who is both not patient and not calm is either tall or calm.
Everyone who is brave or patient is not wise.
Everyone who is not humble is either not humble or rich and vice versa.
Everyone who is rich or tall is wise.
If someone is either kind or funny then mary is not tall.
If someone is patient or curious the... | Fred is not creative. | entailment | (![X]:((~patient(X)&~calm(X))=>(tall(X)<~>calm(X))))&
(![X]:((brave(X)|patient(X))=>~wise(X)))&
(![X]:(~humble(X)<=>(~humble(X)<~>rich(X))))&
(![X]:((rich(X)|tall(X))=>wise(X)))&
((?[X]:((kind(X)<~>funny(X))))=>(~tall(mary)))&
((?[X]:((patient(X)|curious(X))))<=>(kind(susan)))&
((happy(john))<=>((strong(lucy)|~patient(... | ~creative(fred) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 326496158993331479629470
% SZS output start Proof for 326496158993331479629470
3. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> rich(X0))) [input p2]
10. ! [X0] : ((creative(X0) | ~old(X0)) <=> rich(X0)) [input p9]
23. creative(fred) [input hypothesis]
36. ! [X0] : ((~humble(X0) | ((~humble(... | 0 |
If someone is not humble then someone is both curious and not quiet. If someone is creative then john is not brave or not calm and vice versa. If john is wise or not old then someone is either old or humble. Everyone who is either calm or not happy is both creative and brave. If alice is funny then someone is both pati... | John is wise. | contradiction | ((?[X]:(~humble(X)))=>(?[X]:((curious(X)&~quiet(X)))))&
((?[X]:(creative(X)))<=>((~brave(john)|~calm(john))))&
(((wise(john)|~old(john)))=>(?[X]:((old(X)<~>humble(X)))))&
(![X]:((calm(X)<~>~happy(X))=>(creative(X)&brave(X))))&
((funny(alice))<=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:(rich(X)<=>(creative(X)&~rich(X)... | wise(john) | [
"p5",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2645415667478902621632838
% SZS output start Proof for 2645415667478902621632838
6. ! [X0] : (rich(X0) <=> (~rich(X0) & creative(X0))) [input p5]
7. ? [X0] : ~happy(X0) <=> ~old(alice) [input p6]
9. ! [X0] : ((~creative(X0) | happy(X0)) => (brave(X0) & ~happy(X0))) [input p8]
16. (~wise(j... | 0 |
Everyone who is not strong is both humble and not calm. Everyone who is not happy is creative or not wise and vice versa. If someone is not brave then lucy is not kind. Everyone who is either wise or curious is both not wise and not patient. If mary is either kind or not old then someone is calm or strong and vice vers... | Mary is rich. | entailment | (![X]:(~strong(X)=>(humble(X)&~calm(X))))&
(![X]:(~happy(X)<=>(creative(X)|~wise(X))))&
((?[X]:(~brave(X)))=>(~kind(lucy)))&
(![X]:((wise(X)<~>curious(X))=>(~wise(X)&~patient(X))))&
(((kind(mary)<~>~old(mary)))<=>(?[X]:((calm(X)|strong(X)))))&
(![X]:((brave(X)<~>rich(X))=>(~old(X)&funny(X))))&
(((~generous(lucy)&~old(l... | rich(mary) | [
"p2",
"p5",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 430488516030880028151207
% SZS output start Proof for 430488516030880028151207
3. ? [X0] : ~brave(X0) => ~kind(lucy) [input p2]
6. ! [X0] : ((brave(X0) <~> rich(X0)) => (funny(X0) & ~old(X0))) [input p5]
11. ! [X0] : ((~kind(X0) | humble(X0)) => ~rich(X0)) [input p10]
13. ! [X0] : ((~brav... | 0 |
Everyone who is rich or generous is quiet or not tall. Everyone who is either happy or kind is either not quiet or not happy and vice versa. If alice is not generous then someone is either old or not happy. Everyone who is either brave or not generous is either not curious or rich. Everyone who is both strong and brave... | Lucy is not happy. | neutral | (![X]:((rich(X)|generous(X))=>(quiet(X)|~tall(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~quiet(X)<~>~happy(X))))&
((~generous(alice))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((brave(X)<~>~generous(X))=>(~curious(X)<~>rich(X))))&
(![X]:((strong(X)&brave(X))<=>brave(X)))&
((?[X]:((~wise(X)<~>strong(X))))<=>(?[X]:(~calm(X))))&... | ~happy(lucy) | [] | null | 0 |
Everyone who is generous or not humble is quiet or curious.
Everyone who is either curious or not brave is generous and vice versa.
Everyone who is either happy or not curious is either not generous or wise and vice versa.
Everyone who is not old or generous is either tall or wise and vice versa.
Everyone who is not ge... | Mary is not kind. | neutral | (![X]:((generous(X)|~humble(X))=>(quiet(X)|curious(X))))&
(![X]:((curious(X)<~>~brave(X))<=>generous(X)))&
(![X]:((happy(X)<~>~curious(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise... | ~kind(mary) | [] | null | 0 |
If lucy is generous or kind then someone is strong.
If fred is both wise and not calm then someone is quiet and vice versa.
Everyone who is both funny and patient is generous and vice versa.
If john is both not old and not wise then someone is both rich and funny.
Everyone who is both tall and not humble is both not ri... | John is not wise. | neutral | (((generous(lucy)|kind(lucy)))=>(?[X]:(strong(X))))&
(((wise(fred)&~calm(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((funny(X)&patient(X))<=>generous(X)))&
(((~old(john)&~wise(john)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((tall(X)&~humble(X))<=>(~rich(X)&~strong(X))))&
(![X]:((old(X)<~>creative(X))<=>(~funny(X)|~old(X))))&
((... | ~wise(john) | [] | null | 0 |
Everyone who is either calm or humble is not calm or not generous.
Everyone who is kind or tall is not creative or not calm.
If mary is not wise or not creative then someone is not rich.
Everyone who is both not wise and not rich is funny and vice versa.
Everyone who is either generous or not old is both not humble and... | Lucy is not generous. | neutral | (![X]:((calm(X)<~>humble(X))=>(~calm(X)|~generous(X))))&
(![X]:((kind(X)|tall(X))=>(~creative(X)|~calm(X))))&
(((~wise(mary)|~creative(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wis... | ~generous(lucy) | [] | null | 0 |
If alice is brave or not creative then alice is not brave and vice versa. Everyone who is creative or curious is tall or not happy. If alice is not wise then someone is not old and vice versa. If someone is both brave and patient then someone is either calm or creative and vice versa. If someone is either not funny or ... | Mary is generous. | neutral | (((brave(alice)|~creative(alice)))<=>(~brave(alice)))&
(![X]:((creative(X)|curious(X))=>(tall(X)|~happy(X))))&
((~wise(alice))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((calm(X)<~>creative(X)))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((patient(paul)|~kind(paul))))&
((?[X]:(~generous(X)))=>((rich(lucy)<... | generous(mary) | [] | null | 0 |
If lucy is either kind or not happy then someone is quiet or creative and vice versa.
If mary is both not wise and not happy then paul is both not funny and curious and vice versa.
If paul is either not humble or not patient then john is either not tall or not calm and vice versa.
Everyone who is either not wise or not... | Mary is not curious. | neutral | (((kind(lucy)<~>~happy(lucy)))<=>(?[X]:((quiet(X)|creative(X)))))&
(((~wise(mary)&~happy(mary)))<=>((~funny(paul)&curious(paul))))&
(((~humble(paul)<~>~patient(paul)))<=>((~tall(john)<~>~calm(john))))&
(![X]:((~wise(X)<~>~kind(X))<=>(~quiet(X)|generous(X))))&
(![X]:((~rich(X)<~>generous(X))<=>(~kind(X)&~rich(X))))&
(![... | ~curious(mary) | [] | null | 0 |
Everyone who is not generous or not creative is both funny and not strong.
Everyone who is both not brave and funny is both strong and not kind.
Everyone who is not strong or not patient is both not creative and kind and vice versa.
If someone is not curious then someone is humble and vice versa.
If paul is either kind... | Lucy is patient. | entailment | (![X]:((~generous(X)|~creative(X))=>(funny(X)&~strong(X))))&
(![X]:((~brave(X)&funny(X))=>(strong(X)&~kind(X))))&
(![X]:((~strong(X)|~patient(X))<=>(~creative(X)&kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(humble(X))))&
(((kind(paul)<~>rich(paul)))<=>(?[X]:(brave(X))))&
(![X]:((generous(X)<~>~creative(X))<=>(funny(X)|ca... | patient(lucy) | [
"p0",
"p2",
"p5",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9190276205750457620984217
% SZS output start Proof for 9190276205750457620984217
1. ! [X0] : ((~creative(X0) | ~generous(X0)) => (~strong(X0) & funny(X0))) [input p0]
3. ! [X0] : ((~patient(X0) | ~strong(X0)) <=> (kind(X0) & ~creative(X0))) [input p2]
6. ! [X0] : ((generous(X0) <~> ~creat... | 0 |
Everyone who is not wise or not humble is both tall and not rich and vice versa. Everyone who is either curious or not happy is both curious and calm. Everyone who is not kind is patient and vice versa. Everyone who is both not wise and not generous is humble or not patient and vice versa. Everyone who is strong or cal... | John is strong. | contradiction | (![X]:((~wise(X)|~humble(X))<=>(tall(X)&~rich(X))))&
(![X]:((curious(X)<~>~happy(X))=>(curious(X)&calm(X))))&
(![X]:(~kind(X)<=>patient(X)))&
(![X]:((~wise(X)&~generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((strong(X)|calm(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((~calm(X)<~>~tall(X))=>(~rich(X)|wise(X))))&
(![X]:((r... | strong(john) | [
"p0",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1224991072506782782817273
% SZS output start Proof for 1224991072506782782817273
1. ! [X0] : ((~humble(X0) | ~wise(X0)) <=> (~rich(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (~patient(X0) | humble(X0))) [input p3]
5. ! [X0] : ((calm(X0) | strong(X0)) <=> (str... | 0 |
If susan is either not rich or curious then fred is wise.
Everyone who is either old or humble is not quiet.
Everyone who is both not calm and not patient is not humble or not quiet and vice versa.
Everyone who is wise is not old.
Everyone who is humble is not strong or not creative and vice versa.
Everyone who is both... | John is not generous. | entailment | (((~rich(susan)<~>curious(susan)))=>(wise(fred)))&
(![X]:((old(X)<~>humble(X))=>~quiet(X)))&
(![X]:((~calm(X)&~patient(X))<=>(~humble(X)|~quiet(X))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:(humble(X)<=>(~strong(X)|~creative(X))))&
(![X]:((~funny(X)&rich(X))=>(quiet(X)<~>old(X))))&
(((tall(alice)<~>calm(alice)))=>(?[X]:((fun... | ~generous(john) | [
"p4",
"p9",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5443104163184772929236355
% SZS output start Proof for 5443104163184772929236355
5. ! [X0] : (humble(X0) <=> (~creative(X0) | ~strong(X0))) [input p4]
10. (~humble(paul) | ~curious(paul)) <=> ? [X0] : (curious(X0) <~> quiet(X0)) [input p9]
11. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> (gener... | 0 |
If mary is either not brave or rich then someone is both not wise and tall.
If someone is either wise or strong then susan is brave.
If paul is either not quiet or not tall then fred is not humble or not calm.
Everyone who is both not strong and not curious is either curious or humble.
Everyone who is not generous is n... | Mary is not patient. | neutral | (((~brave(mary)<~>rich(mary)))=>(?[X]:((~wise(X)&tall(X)))))&
((?[X]:((wise(X)<~>strong(X))))=>(brave(susan)))&
(((~quiet(paul)<~>~tall(paul)))=>((~humble(fred)|~calm(fred))))&
(![X]:((~strong(X)&~curious(X))=>(curious(X)<~>humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|generous(X))))&
((?[X]:((~funny(X)<~>~strong(X))... | ~patient(mary) | [] | null | 0 |
Everyone who is either not creative or not strong is either not generous or brave and vice versa.
Everyone who is either rich or not rich is both not quiet and kind and vice versa.
Everyone who is not old is patient.
Everyone who is either not strong or not humble is either not curious or not quiet and vice versa.
If s... | Paul is calm. | contradiction | (![X]:((~creative(X)<~>~strong(X))<=>(~generous(X)<~>brave(X))))&
(![X]:((rich(X)<~>~rich(X))<=>(~quiet(X)&kind(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((~strong(X)<~>~humble(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>((patient(alice)<~>creative(alice))))&
((?[X]:((patient(X)&happy(X))))=>(... | calm(paul) | [
"p1",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4862877703875612191172456
% SZS output start Proof for 4862877703875612191172456
2. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (kind(X0) & ~quiet(X0))) [input p1]
7. ? [X0] : kind(X0) <=> (~creative(paul) & ~strong(paul)) [input p6]
10. ! [X0] : ((~funny(X0) | generous(X0)) => (~generous(X0) ... | 0 |
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