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 wise or not wise is patient and vice versa.
Everyone who is not kind is not rich.
If john is both not rich and quiet then someone is both not funny and creative and vice versa.
Everyone who is both kind and happy is either not wise or old and vice versa.
Everyone who is not funny is both tall and not br... | Fred is quiet. | neutral | (![X]:((wise(X)|~wise(X))<=>patient(X)))&
(![X]:(~kind(X)=>~rich(X)))&
(((~rich(john)&quiet(john)))<=>(?[X]:((~funny(X)&creative(X)))))&
(![X]:((kind(X)&happy(X))<=>(~wise(X)<~>old(X))))&
(![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((calm(X)&curious(X))=>(~humble(X)|~funny(X))))&
(![X]:((kind(X)&curious(X))=>~creati... | quiet(fred) | [] | null | 0 |
Everyone who is not generous is either not wise or wise.
If mary is creative or happy then fred is both strong and kind.
Everyone who is either not happy or not funny is both not brave and not old and vice versa.
If paul is wise then paul is not strong or not tall.
If susan is curious or strong then someone is either c... | Susan is not old. | neutral | (![X]:(~generous(X)=>(~wise(X)<~>wise(X))))&
(((creative(mary)|happy(mary)))=>((strong(fred)&kind(fred))))&
(![X]:((~happy(X)<~>~funny(X))<=>(~brave(X)&~old(X))))&
((wise(paul))=>((~strong(paul)|~tall(paul))))&
(((curious(susan)|strong(susan)))=>(?[X]:((calm(X)<~>quiet(X)))))&
(![X]:((strong(X)&generous(X))=>(~old(X)|~... | ~old(susan) | [] | null | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not happy and not patient and vice versa. Everyone who is not tall or not calm is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind... | Mary is calm. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humbl... | calm(mary) | [
"p1",
"p2",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 963719519307452432135331
% SZS output start Proof for 963719519307452432135331
2. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~patient(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((~calm(X0) | ~tall(X0)) <=> (strong(X0) & ~rich(X0))) [input p2]
7. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X... | 0 |
Everyone who is generous is both calm and generous and vice versa.
Everyone who is not creative is not strong or not patient and vice versa.
If alice is either calm or not humble then someone is tall.
Everyone who is patient is humble and vice versa.
If fred is rich then mary is both not curious and not generous and vi... | Mary is wise. | neutral | (![X]:(generous(X)<=>(calm(X)&generous(X))))&
(![X]:(~creative(X)<=>(~strong(X)|~patient(X))))&
(((calm(alice)<~>~humble(alice)))=>(?[X]:(tall(X))))&
(![X]:(patient(X)<=>humble(X)))&
((rich(fred))<=>((~curious(mary)&~generous(mary))))&
((?[X]:((~old(X)<~>patient(X))))<=>(generous(susan)))&
(![X]:((funny(X)&~generous(X)... | wise(mary) | [] | null | 0 |
Everyone who is not humble or quiet is not quiet and vice versa.
If lucy is both not quiet and creative then someone is not brave and vice versa.
Everyone who is both not funny and not old is not tall and vice versa.
If susan is both not happy and quiet then mary is both not brave and not funny and vice versa.
Everyone... | Lucy is not rich. | neutral | (![X]:((~humble(X)|quiet(X))<=>~quiet(X)))&
(((~quiet(lucy)&creative(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((~funny(X)&~old(X))<=>~tall(X)))&
(((~happy(susan)&quiet(susan)))<=>((~brave(mary)&~funny(mary))))&
(![X]:(strong(X)=>(~happy(X)|~rich(X))))&
((?[X]:(happy(X)))<=>(?[X]:((humble(X)<~>~kind(X)))))&
(![X]:((curious(... | ~rich(lucy) | [] | null | 0 |
Everyone who is not curious or creative is both wise and rich. If someone is both rich and not funny then alice is not happy or not rich and vice versa. Everyone who is curious or not happy is either not rich or curious and vice versa. Everyone who is not patient is not creative or not curious. If someone is either not... | Lucy is not creative. | entailment | (![X]:((~curious(X)|creative(X))=>(wise(X)&rich(X))))&
((?[X]:((rich(X)&~funny(X))))<=>((~happy(alice)|~rich(alice))))&
(![X]:((curious(X)|~happy(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(~patient(X)=>(~creative(X)|~curious(X))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((funny(X)|~creative(X)))))&
((?[X]:(calm(X)))<=>((p... | ~creative(lucy) | [
"p0",
"p2",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3854886931345268667445178
% SZS output start Proof for 3854886931345268667445178
1. ! [X0] : ((creative(X0) | ~curious(X0)) => (rich(X0) & wise(X0))) [input p0]
3. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~rich(X0) <~> curious(X0))) [input p2]
13. ! [X0] : ((rich(X0) | humble(X0)) => (pa... | 0 |
If someone is kind then someone is either not patient or generous and vice versa.
If someone is either not creative or not rich then someone is happy and vice versa.
If alice is not strong then someone is either not generous or calm and vice versa.
If someone is either not wise or not patient then someone is not calm a... | John is not rich. | entailment | ((?[X]:(kind(X)))<=>(?[X]:((~patient(X)<~>generous(X)))))&
((?[X]:((~creative(X)<~>~rich(X))))<=>(?[X]:(happy(X))))&
((~strong(alice))<=>(?[X]:((~generous(X)<~>calm(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((creative(X)<~>humble(X))))=>((kind(mary)&funny(mary))))&
(![X]:((brave(X)|~patien... | ~rich(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4052885499649280836382928
% SZS output start Proof for 4052885499649280836382928
1. ? [X0] : kind(X0) <=> ? [X0] : (~patient(X0) <~> generous(X0)) [input p0]
5. ? [X0] : (creative(X0) <~> humble(X0)) => (funny(mary) & kind(mary)) [input p4]
6. ! [X0] : ((~patient(X0) | brave(X0)) => (~hum... | 0 |
If someone is either kind or brave then someone is old or not brave. If someone is either strong or not quiet then alice is either strong or not rich and vice versa. Everyone who is not funny or not rich is both not rich and happy. Everyone who is patient is not generous or calm. Everyone who is wise or tall is both no... | Lucy is happy. | neutral | ((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((strong(alice)<~>~rich(alice))))&
(![X]:((~funny(X)|~rich(X))=>(~rich(X)&happy(X))))&
(![X]:(patient(X)=>(~generous(X)|calm(X))))&
(![X]:((wise(X)|tall(X))=>(~wise(X)&~calm(X))))&
(![X]:((old(X)<~>brave(X))=>(wise(X)&~wis... | happy(lucy) | [] | null | 0 |
Everyone who is both not strong and not tall is either not patient or not creative.
Everyone who is either curious or not humble is both happy and generous and vice versa.
If mary is both not generous and old then someone is both old and tall.
Everyone who is both funny and not quiet is both not tall and wise and vice ... | Lucy is not wise. | entailment | (![X]:((~strong(X)&~tall(X))=>(~patient(X)<~>~creative(X))))&
(![X]:((curious(X)<~>~humble(X))<=>(happy(X)&generous(X))))&
(((~generous(mary)&old(mary)))=>(?[X]:((old(X)&tall(X)))))&
(![X]:((funny(X)&~quiet(X))<=>(~tall(X)&wise(X))))&
((~generous(lucy))<=>(?[X]:(strong(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~calm(X... | ~wise(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8780184342038948817236153
% SZS output start Proof for 8780184342038948817236153
9. ! [X0] : (wise(X0) => (rich(X0) & ~wise(X0))) [input p8]
24. wise(lucy) [input hypothesis]
29. ! [X0] : ((rich(X0) & ~wise(X0)) | ~wise(X0)) [ennf transformation 9]
102. ~wise(X0) | ~wise(X0) [cnf transfor... | 0 |
Everyone who is funny or not calm is humble or old and vice versa. If someone is wise or tall then someone is either not wise or not rich and vice versa. Everyone who is wise is not curious and vice versa. Everyone who is both not wise and not rich is not wise or not rich and vice versa. Everyone who is not wise or not... | Alice is quiet. | neutral | (![X]:((funny(X)|~calm(X))<=>(humble(X)|old(X))))&
((?[X]:((wise(X)|tall(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:(wise(X)<=>~curious(X)))&
(![X]:((~wise(X)&~rich(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~wise(X)|~generous(X))=>curious(X)))&
(![X]:((old(X)<~>~kind(X))<=>(quiet(X)&~wise(X))))&
((?[X]:(~happy(X)))<=>(?... | quiet(alice) | [] | null | 0 |
If someone is both not curious and rich then someone is not rich or generous and vice versa. If mary is not strong or not humble then someone is both not funny and not tall. Everyone who is both not creative and not humble is both not creative and creative and vice versa. Everyone who is both strong and creative is bot... | Mary is wise. | neutral | ((?[X]:((~curious(X)&rich(X))))<=>(?[X]:((~rich(X)|generous(X)))))&
(((~strong(mary)|~humble(mary)))=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:((~creative(X)&~humble(X))<=>(~creative(X)&creative(X))))&
(![X]:((strong(X)&creative(X))<=>(~strong(X)&~generous(X))))&
(![X]:((curious(X)|~kind(X))<=>(~creative(X)|~wise(X))))&
(... | wise(mary) | [] | null | 0 |
If someone is not strong or tall then someone is not wise or curious.
Everyone who is either not wise or patient is strong and vice versa.
If someone is not tall then alice is either creative or not old and vice versa.
If someone is not creative then susan is both not kind and rich.
If someone is not tall or not curiou... | Fred is quiet. | entailment | ((?[X]:((~strong(X)|tall(X))))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((~wise(X)<~>patient(X))<=>strong(X)))&
((?[X]:(~tall(X)))<=>((creative(alice)<~>~old(alice))))&
((?[X]:(~creative(X)))=>((~kind(susan)&rich(susan))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((?[X]:((~generous(X)|happy(X)))... | quiet(fred) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2831713165395323253104639
% SZS output start Proof for 2831713165395323253104639
2. ! [X0] : ((~wise(X0) <~> patient(X0)) <=> strong(X0)) [input p1]
7. ! [X0] : ((calm(X0) | strong(X0)) => (old(X0) & happy(X0))) [input p6]
8. ! [X0] : (old(X0) <=> strong(X0)) [input p7]
9. ! [X0] : ((~cur... | 0 |
Everyone who is either wise or not wise is either not rich or funny and vice versa.
Everyone who is both not old and old is not kind and vice versa.
Everyone who is either not calm or quiet is both not calm and not old.
If mary is not kind or happy then lucy is either not creative or quiet.
If someone is both not stron... | Paul is not curious. | contradiction | (![X]:((wise(X)<~>~wise(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((~old(X)&old(X))<=>~kind(X)))&
(![X]:((~calm(X)<~>quiet(X))=>(~calm(X)&~old(X))))&
(((~kind(mary)|happy(mary)))=>((~creative(lucy)<~>quiet(lucy))))&
((?[X]:((~strong(X)&~old(X))))=>(?[X]:((curious(X)&~funny(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(~tall(... | ~curious(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3951685727275501661311069
% SZS output start Proof for 3951685727275501661311069
22. curious(paul) & ~strong(paul) [input p21]
23. ~curious(paul) [input hypothesis]
141. curious(paul) [cnf transformation 22]
142. ~curious(paul) [cnf transformation 23]
250. $false [subsumption resolution 1... | 0 |
Everyone who is both brave and strong is both not old and not strong and vice versa. Everyone who is not curious or generous is both rich and not generous and vice versa. Everyone who is either not curious or not calm is either not kind or not funny. If someone is both creative and not calm then fred is old. Everyone w... | John is not humble. | neutral | (![X]:((brave(X)&strong(X))<=>(~old(X)&~strong(X))))&
(![X]:((~curious(X)|generous(X))<=>(rich(X)&~generous(X))))&
(![X]:((~curious(X)<~>~calm(X))=>(~kind(X)<~>~funny(X))))&
((?[X]:((creative(X)&~calm(X))))=>(old(fred)))&
(![X]:(generous(X)<=>(~kind(X)&rich(X))))&
(![X]:((~quiet(X)|~generous(X))=>(calm(X)&~old(X))))&
(... | ~humble(john) | [] | null | 0 |
Everyone who is not quiet or humble is calm or not humble.
Everyone who is either not wise or not calm is both kind and not generous.
If someone is rich or brave then someone is not happy.
If someone is both calm and brave then someone is wise.
If mary is not curious or not patient then someone is not brave or funny.
I... | Lucy is brave. | entailment | (![X]:((~quiet(X)|humble(X))=>(calm(X)|~humble(X))))&
(![X]:((~wise(X)<~>~calm(X))=>(kind(X)&~generous(X))))&
((?[X]:((rich(X)|brave(X))))=>(?[X]:(~happy(X))))&
((?[X]:((calm(X)&brave(X))))=>(?[X]:(wise(X))))&
(((~curious(mary)|~patient(mary)))=>(?[X]:((~brave(X)|funny(X)))))&
(((brave(lucy)&~generous(lucy)))<=>(?[X]:(... | brave(lucy) | [
"p0",
"p5",
"p10",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7982548920583804729527432
% SZS output start Proof for 7982548920583804729527432
1. ! [X0] : ((humble(X0) | ~quiet(X0)) => (~humble(X0) | calm(X0))) [input p0]
6. (~generous(lucy) & brave(lucy)) <=> ? [X0] : (~curious(X0) | creative(X0)) [input p5]
11. ! [X0] : ((~creative(X0) | ~strong(X... | 0 |
Everyone who is not old or patient is either not creative or not tall and vice versa. Everyone who is not humble or not happy is old. Everyone who is both not kind and not humble is not creative and vice versa. If someone is either not patient or not rich then someone is not patient or not tall. Everyone who is not ric... | Fred is curious. | entailment | (![X]:((~old(X)|patient(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((~humble(X)|~happy(X))=>old(X)))&
(![X]:((~kind(X)&~humble(X))<=>~creative(X)))&
((?[X]:((~patient(X)<~>~rich(X))))=>(?[X]:((~patient(X)|~tall(X)))))&
(![X]:(~rich(X)<=>(~creative(X)&happy(X))))&
((old(mary))=>((~wise(paul)|~happy(paul))))&
(![X]:((~humb... | curious(fred) | [
"p0",
"p2",
"p7",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 903832005471396524883782
% SZS output start Proof for 903832005471396524883782
1. ! [X0] : ((patient(X0) | ~old(X0)) <=> (~creative(X0) <~> ~tall(X0))) [input p0]
3. ! [X0] : ((~humble(X0) & ~kind(X0)) <=> ~creative(X0)) [input p2]
8. ! [X0] : ((tall(X0) | curious(X0)) <=> (humble(X0) <~>... | 0 |
If someone is funny then mary is both not strong and tall and vice versa.
If mary is either not rich or not funny then someone is either not wise or not humble and vice versa.
If john is either not tall or old then mary is not wise.
Everyone who is both tall and curious is tall.
Everyone who is not rich or calm is both... | Paul is funny. | contradiction | ((?[X]:(funny(X)))<=>((~strong(mary)&tall(mary))))&
(((~rich(mary)<~>~funny(mary)))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(((~tall(john)<~>old(john)))=>(~wise(mary)))&
(![X]:((tall(X)&curious(X))=>tall(X)))&
(![X]:((~rich(X)|calm(X))<=>(~quiet(X)&~patient(X))))&
(((creative(john)<~>~kind(john)))=>((~curious(alice)&~funn... | funny(paul) | [
"p0",
"p4",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3572452951839677949982452
% SZS output start Proof for 3572452951839677949982452
1. ? [X0] : funny(X0) <=> (tall(mary) & ~strong(mary)) [input p0]
5. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (~patient(X0) & ~quiet(X0))) [input p4]
16. (~strong(alice) <~> calm(alice)) => (~kind(mary) & strong(... | 0 |
If someone is not generous then someone is creative or brave.
If mary is strong then someone is not patient or happy.
Everyone who is not quiet or not curious is either not brave or curious and vice versa.
If someone is both curious and not generous then someone is both not humble and brave.
Everyone who is funny or no... | Susan is not old. | neutral | ((?[X]:(~generous(X)))=>(?[X]:((creative(X)|brave(X)))))&
((strong(mary))=>(?[X]:((~patient(X)|happy(X)))))&
(![X]:((~quiet(X)|~curious(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((funny(X)|~patient(X))=>(~kind(X)<~>curious(X))))&
(((~quiet(mary)|patien... | ~old(susan) | [] | null | 0 |
If mary is not humble or not kind then paul is either not patient or curious. Everyone who is calm or wise is either quiet or brave and vice versa. Everyone who is patient or not happy is either not happy or not kind. If someone is either not strong or old then susan is both not calm and not curious. If someone is not ... | John is not tall. | contradiction | (((~humble(mary)|~kind(mary)))=>((~patient(paul)<~>curious(paul))))&
(![X]:((calm(X)|wise(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((patient(X)|~happy(X))=>(~happy(X)<~>~kind(X))))&
((?[X]:((~strong(X)<~>old(X))))=>((~calm(susan)&~curious(susan))))&
((?[X]:(~quiet(X)))<=>((~happy(alice)&~wise(alice))))&
(![X]:((~calm(X)&~c... | ~tall(john) | [
"p1",
"p5",
"p10",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7855820017800311913595909
% SZS output start Proof for 7855820017800311913595909
2. ! [X0] : ((wise(X0) | calm(X0)) <=> (quiet(X0) <~> brave(X0))) [input p1]
6. ! [X0] : ((~creative(X0) & ~calm(X0)) => tall(X0)) [input p5]
11. ! [X0] : (creative(X0) <=> (strong(X0) & calm(X0))) [input p10... | 0 |
If someone is both quiet and not generous then lucy is happy.
Everyone who is both not strong and not creative is either not creative or creative and vice versa.
If fred is either not patient or creative then lucy is quiet or generous and vice versa.
If someone is both calm and brave then john is wise or not wise and v... | Fred is not patient. | entailment | ((?[X]:((quiet(X)&~generous(X))))=>(happy(lucy)))&
(![X]:((~strong(X)&~creative(X))<=>(~creative(X)<~>creative(X))))&
(((~patient(fred)<~>creative(fred)))<=>((quiet(lucy)|generous(lucy))))&
((?[X]:((calm(X)&brave(X))))<=>((wise(john)|~wise(john))))&
(![X]:((tall(X)|~generous(X))=>strong(X)))&
((?[X]:(~funny(X)))<=>((cr... | ~patient(fred) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3703180612891660649596347
% SZS output start Proof for 3703180612891660649596347
2. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (~creative(X0) <~> creative(X0))) [input p1]
3. (~patient(fred) <~> creative(fred)) <=> (generous(lucy) | quiet(lucy)) [input p2]
5. ! [X0] : ((~generous(X0) | t... | 0 |
If someone is generous then someone is either calm or not generous and vice versa.
If fred is both not curious and not brave then someone is both old and funny and vice versa.
Everyone who is both not generous and not happy is both not quiet and not rich.
If someone is both patient and not rich then susan is not curiou... | John is not strong. | neutral | ((?[X]:(generous(X)))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(((~curious(fred)&~brave(fred)))<=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~generous(X)&~happy(X))=>(~quiet(X)&~rich(X))))&
((?[X]:((patient(X)&~rich(X))))=>((~curious(susan)|happy(susan))))&
(![X]:((~kind(X)&~funny(X))=>(~kind(X)&happy(X))))&
((?[X]:((happy(X)&~... | ~strong(john) | [] | null | 0 |
Everyone who is not brave is either not quiet or quiet.
Everyone who is either patient or not funny is funny and vice versa.
If someone is either rich or not quiet then paul is not humble.
If someone is either strong or curious then someone is not funny or not wise.
Everyone who is either funny or wise is patient.
Ever... | Susan is not strong. | entailment | (![X]:(~brave(X)=>(~quiet(X)<~>quiet(X))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(~humble(paul)))&
((?[X]:((strong(X)<~>curious(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((funny(X)<~>wise(X))=>patient(X)))&
(![X]:((humble(X)<~>~generous(X))<=>~creative(X)))&
(![X]:((humble(X... | ~strong(susan) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 506423019821795151157543
% SZS output start Proof for 506423019821795151157543
2. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p1]
6. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~creative(X0)) [input p5]
11. ? [X0] : (~curious(X0) | ~kind(X0)) <=> (~patient(lucy) | genero... | 0 |
If someone is both not strong and not curious then john is old or not tall.
Everyone who is not rich is either not quiet or not humble and vice versa.
If fred is both tall and not generous then someone is not calm or not kind.
Everyone who is not tall is rich or not calm.
If paul is patient or old then paul is either n... | Paul is patient. | neutral | ((?[X]:((~strong(X)&~curious(X))))=>((old(john)|~tall(john))))&
(![X]:(~rich(X)<=>(~quiet(X)<~>~humble(X))))&
(((tall(fred)&~generous(fred)))=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:(~tall(X)=>(rich(X)|~calm(X))))&
(((patient(paul)|old(paul)))=>((~creative(paul)<~>happy(paul))))&
(((~tall(mary)&~strong(mary)))<=>((~creat... | patient(paul) | [] | null | 0 |
Everyone who is both not funny and not calm is both not curious and not kind and vice versa. If someone is brave or not curious then someone is both not humble and patient and vice versa. If someone is both not strong and tall then someone is either not kind or quiet and vice versa. Everyone who is either happy or gene... | Fred is not wise. | entailment | (![X]:((~funny(X)&~calm(X))<=>(~curious(X)&~kind(X))))&
((?[X]:((brave(X)|~curious(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:((~strong(X)&tall(X))))<=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((happy(X)<~>generous(X))=>wise(X)))&
(((kind(lucy)<~>curious(lucy)))<=>(~generous(alice)))&
(((tall(mary)&kind(mary)))=>(... | ~wise(fred) | [
"p6",
"p10",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6581237635233723035713565
% SZS output start Proof for 6581237635233723035713565
7. ? [X0] : generous(X0) => ? [X0] : (funny(X0) & rich(X0)) [input p6]
11. (patient(john) & curious(john)) <=> ~strong(fred) [input p10]
13. (~wise(fred) <~> ~strong(fred)) <=> ? [X0] : (brave(X0) | rich(X0))... | 0 |
Everyone who is rich or humble is both not happy and wise.
Everyone who is happy or not rich is either not patient or not curious and vice versa.
Everyone who is both patient and quiet is both brave and old.
If someone is not humble then john is either not brave or not patient and vice versa.
Everyone who is not humble... | Fred is funny. | contradiction | (![X]:((rich(X)|humble(X))=>(~happy(X)&wise(X))))&
(![X]:((happy(X)|~rich(X))<=>(~patient(X)<~>~curious(X))))&
(![X]:((patient(X)&quiet(X))=>(brave(X)&old(X))))&
((?[X]:(~humble(X)))<=>((~brave(john)<~>~patient(john))))&
(![X]:((~humble(X)|brave(X))<=>(~wise(X)&~strong(X))))&
(((strong(fred)&~patient(fred)))=>(?[X]:((~... | funny(fred) | [
"p0",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8764384028703999012554032
% SZS output start Proof for 8764384028703999012554032
1. ! [X0] : ((humble(X0) | rich(X0)) => (wise(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (~strong(X0) & ~wise(X0))) [input p4]
15. ! [X0] : ((humble(X0) <~> funny(X0)) <=> wise(X... | 0 |
Everyone who is both not curious and not strong is patient or not generous and vice versa.
Everyone who is not kind or patient is humble or creative and vice versa.
If lucy is not kind or not old then john is both rich and creative and vice versa.
If mary is not funny or not generous then paul is both quiet and kind an... | Alice is not curious. | entailment | (![X]:((~curious(X)&~strong(X))<=>(patient(X)|~generous(X))))&
(![X]:((~kind(X)|patient(X))<=>(humble(X)|creative(X))))&
(((~kind(lucy)|~old(lucy)))<=>((rich(john)&creative(john))))&
(((~funny(mary)|~generous(mary)))<=>((quiet(paul)&kind(paul))))&
((?[X]:((~tall(X)&wise(X))))<=>(strong(fred)))&
((brave(susan))<=>((rich... | ~curious(alice) | [
"p0",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1641571001774924027199319
% SZS output start Proof for 1641571001774924027199319
1. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> (~generous(X0) | patient(X0))) [input p0]
24. funny(alice) & patient(alice) [input p23]
25. curious(alice) [input hypothesis]
32. ! [X0] : (((~strong(X0) & ~curio... | 0 |
Everyone who is not generous is not humble and vice versa.
If someone is not wise or curious then someone is not humble and vice versa.
If someone is wise or not creative then john is not generous and vice versa.
If fred is quiet or strong then someone is wise and vice versa.
Everyone who is both not brave and not stro... | John is generous. | contradiction | (![X]:(~generous(X)<=>~humble(X)))&
((?[X]:((~wise(X)|curious(X))))<=>(?[X]:(~humble(X))))&
((?[X]:((wise(X)|~creative(X))))<=>(~generous(john)))&
(((quiet(fred)|strong(fred)))<=>(?[X]:(wise(X))))&
(![X]:((~brave(X)&~strong(X))<=>(~rich(X)&calm(X))))&
(((happy(lucy)<~>~generous(lucy)))=>((curious(lucy)<~>quiet(lucy))))... | generous(john) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6110557744537706991526656
% SZS output start Proof for 6110557744537706991526656
3. ? [X0] : (~creative(X0) | wise(X0)) <=> ~generous(john) [input p2]
19. ~generous(lucy) & wise(lucy) [input p18]
24. generous(john) [input hypothesis]
37. (? [X0] : (~creative(X0) | wise(X0)) | generous(joh... | 0 |
If someone is tall or patient then lucy is not generous or not kind. Everyone who is not funny is both not curious and calm. If someone is both calm and not curious then someone is either not tall or brave and vice versa. If paul is brave then john is patient or not strong. If paul is generous or tall then john is both... | Susan is generous. | neutral | ((?[X]:((tall(X)|patient(X))))=>((~generous(lucy)|~kind(lucy))))&
(![X]:(~funny(X)=>(~curious(X)&calm(X))))&
((?[X]:((calm(X)&~curious(X))))<=>(?[X]:((~tall(X)<~>brave(X)))))&
((brave(paul))=>((patient(john)|~strong(john))))&
(((generous(paul)|tall(paul)))=>((~creative(john)&~humble(john))))&
(![X]:((~kind(X)<~>~patien... | generous(susan) | [] | null | 0 |
Everyone who is both generous and not curious is rich and vice versa.
If someone is either kind or not strong then fred is either not strong or not generous.
Everyone who is old or patient is calm or not old.
Everyone who is both happy and not calm is both not funny and not patient and vice versa.
If someone is rich or... | Lucy is funny. | neutral | (![X]:((generous(X)&~curious(X))<=>rich(X)))&
((?[X]:((kind(X)<~>~strong(X))))=>((~strong(fred)<~>~generous(fred))))&
(![X]:((old(X)|patient(X))=>(calm(X)|~old(X))))&
(![X]:((happy(X)&~calm(X))<=>(~funny(X)&~patient(X))))&
((?[X]:((rich(X)|~brave(X))))=>(?[X]:((calm(X)&strong(X)))))&
(((~wise(lucy)<~>old(lucy)))<=>(?[X... | funny(lucy) | [] | null | 0 |
Everyone who is both funny and not old is both not strong and creative.
Everyone who is both not brave and not patient is both brave and tall.
Everyone who is either creative or tall is not old or wise and vice versa.
Everyone who is either not rich or not strong is not wise.
If paul is both kind and tall then someone ... | Alice is generous. | neutral | (![X]:((funny(X)&~old(X))=>(~strong(X)&creative(X))))&
(![X]:((~brave(X)&~patient(X))=>(brave(X)&tall(X))))&
(![X]:((creative(X)<~>tall(X))<=>(~old(X)|wise(X))))&
(![X]:((~rich(X)<~>~strong(X))=>~wise(X)))&
(((kind(paul)&tall(paul)))<=>(?[X]:(~brave(X))))&
(![X]:((curious(X)<~>old(X))=>(~rich(X)|rich(X))))&
(![X]:(~bra... | generous(alice) | [] | null | 0 |
If someone is either quiet or not strong then fred is tall and vice versa.
Everyone who is not kind is either kind or not brave and vice versa.
If someone is not kind or happy then someone is both quiet and wise and vice versa.
Everyone who is not rich is both not creative and rich and vice versa.
If someone is happy o... | Lucy is not rich. | contradiction | ((?[X]:((quiet(X)<~>~strong(X))))<=>(tall(fred)))&
(![X]:(~kind(X)<=>(kind(X)<~>~brave(X))))&
((?[X]:((~kind(X)|happy(X))))<=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:(~rich(X)<=>(~creative(X)&rich(X))))&
((?[X]:((happy(X)|tall(X))))=>(?[X]:(~old(X))))&
((?[X]:((calm(X)&~wise(X))))=>((~wise(alice)|creative(alice))))&
(![X]:... | ~rich(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5336323354229767785914775
% SZS output start Proof for 5336323354229767785914775
4. ! [X0] : (~rich(X0) <=> (rich(X0) & ~creative(X0))) [input p3]
24. ~rich(lucy) [input hypothesis]
47. ! [X0] : ((~rich(X0) | (~rich(X0) | creative(X0))) & ((rich(X0) & ~creative(X0)) | rich(X0))) [nnf tran... | 0 |
If susan is funny or not humble then someone is both not wise and creative. If paul is not patient or not creative then someone is not happy or not creative and vice versa. If someone is wise or old then someone is not curious and vice versa. Everyone who is either quiet or not rich is humble. If paul is not generous o... | Alice is not curious. | neutral | (((funny(susan)|~humble(susan)))=>(?[X]:((~wise(X)&creative(X)))))&
(((~patient(paul)|~creative(paul)))<=>(?[X]:((~happy(X)|~creative(X)))))&
((?[X]:((wise(X)|old(X))))<=>(?[X]:(~curious(X))))&
(![X]:((quiet(X)<~>~rich(X))=>humble(X)))&
(((~generous(paul)|~tall(paul)))=>(?[X]:(~curious(X))))&
((?[X]:((strong(X)|~strong... | ~curious(alice) | [] | null | 0 |
If alice is not wise then paul is both wise and not kind and vice versa.
If john is both kind and not tall then susan is either calm or funny.
If someone is either curious or quiet then lucy is not patient.
Everyone who is both tall and not generous is either quiet or humble.
Everyone who is not brave or humble is brav... | Fred is old. | entailment | ((~wise(alice))<=>((wise(paul)&~kind(paul))))&
(((kind(john)&~tall(john)))=>((calm(susan)<~>funny(susan))))&
((?[X]:((curious(X)<~>quiet(X))))=>(~patient(lucy)))&
(![X]:((tall(X)&~generous(X))=>(quiet(X)<~>humble(X))))&
(![X]:((~brave(X)|humble(X))<=>brave(X)))&
(((~creative(fred)&patient(fred)))<=>(?[X]:((~brave(X)<~>... | old(fred) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4611900121092093929239635
% SZS output start Proof for 4611900121092093929239635
7. ! [X0] : ((patient(X0) | funny(X0)) <=> ~curious(X0)) [input p6]
12. ! [X0] : ((kind(X0) & old(X0)) <=> (~curious(X0) | ~patient(X0))) [input p11]
22. ~old(fred) [input hypothesis]
48. ! [X0] : (((patient(... | 0 |
Everyone who is either not calm or not brave is calm and vice versa.
Everyone who is brave is calm or not tall and vice versa.
Everyone who is both brave and not quiet is either quiet or not wise.
Everyone who is both happy and not funny is either not quiet or not brave.
Everyone who is both not funny and not calm is e... | Paul is creative. | entailment | (![X]:((~calm(X)<~>~brave(X))<=>calm(X)))&
(![X]:(brave(X)<=>(calm(X)|~tall(X))))&
(![X]:((brave(X)&~quiet(X))=>(quiet(X)<~>~wise(X))))&
(![X]:((happy(X)&~funny(X))=>(~quiet(X)<~>~brave(X))))&
(![X]:((~funny(X)&~calm(X))=>(humble(X)<~>~generous(X))))&
(((~brave(lucy)|~creative(lucy)))<=>((~curious(paul)&~humble(paul)))... | creative(paul) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8783624492591133099760048
% SZS output start Proof for 8783624492591133099760048
1. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> calm(X0)) [input p0]
2. ! [X0] : (brave(X0) <=> (~tall(X0) | calm(X0))) [input p1]
13. ? [X0] : (~wise(X0) | ~creative(X0)) => ? [X0] : (~brave(X0) <~> ~calm(X0)) [... | 0 |
Everyone who is either not wise or not calm is quiet or curious and vice versa.
Everyone who is either tall or not happy is not rich and vice versa.
Everyone who is not generous or brave is both generous and not kind.
Everyone who is either not creative or not brave is either not creative or strong and vice versa.
Ever... | John is not generous. | contradiction | (![X]:((~wise(X)<~>~calm(X))<=>(quiet(X)|curious(X))))&
(![X]:((tall(X)<~>~happy(X))<=>~rich(X)))&
(![X]:((~generous(X)|brave(X))=>(generous(X)&~kind(X))))&
(![X]:((~creative(X)<~>~brave(X))<=>(~creative(X)<~>strong(X))))&
(![X]:((patient(X)&curious(X))<=>(strong(X)|~wise(X))))&
(![X]:((humble(X)<~>~old(X))<=>(~generou... | ~generous(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3167719109133309919593485
% SZS output start Proof for 3167719109133309919593485
3. ! [X0] : ((brave(X0) | ~generous(X0)) => (~kind(X0) & generous(X0))) [input p2]
25. ~generous(john) [input hypothesis]
26. ! [X0] : ((~kind(X0) & generous(X0)) | (~brave(X0) & generous(X0))) [ennf transfor... | 0 |
Everyone who is not brave is either brave or not kind. If someone is humble or wise then someone is either tall or brave and vice versa. If fred is not calm then someone is not humble or not funny and vice versa. Everyone who is both not brave and not rich is not old and vice versa. Everyone who is either quiet or stro... | Susan is not creative. | neutral | (![X]:(~brave(X)=>(brave(X)<~>~kind(X))))&
((?[X]:((humble(X)|wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
((~calm(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((~brave(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)<~>strong(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~wise(X)<=>(funny(X)&old(X))))&
(![X]:((tall(X)<~>~tall... | ~creative(susan) | [] | null | 0 |
Everyone who is not kind is either not kind or not creative and vice versa.
If someone is both curious and not generous then john is not wise or brave and vice versa.
If fred is not patient or not rich then someone is generous.
If john is either old or quiet then someone is happy or quiet.
Everyone who is creative is e... | Alice is not strong. | contradiction | (![X]:(~kind(X)<=>(~kind(X)<~>~creative(X))))&
((?[X]:((curious(X)&~generous(X))))<=>((~wise(john)|brave(john))))&
(((~patient(fred)|~rich(fred)))=>(?[X]:(generous(X))))&
(((old(john)<~>quiet(john)))=>(?[X]:((happy(X)|quiet(X)))))&
(![X]:(creative(X)<=>(~strong(X)<~>creative(X))))&
(![X]:(~rich(X)=>tall(X)))&
((?[X]:(h... | ~strong(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6922648559702276904581047
% SZS output start Proof for 6922648559702276904581047
1. ! [X0] : (~kind(X0) <=> (~kind(X0) <~> ~creative(X0))) [input p0]
5. ! [X0] : (creative(X0) <=> (~strong(X0) <~> creative(X0))) [input p4]
24. ~strong(alice) [input hypothesis]
33. ! [X0] : ((~kind(X0) | (... | 0 |
If lucy is not tall or funny then john is both old and funny.
Everyone who is strong or not tall is rich.
If someone is both not wise and curious then mary is either rich or not kind and vice versa.
If someone is either patient or not old then lucy is both not strong and old.
Everyone who is brave is not brave.
Everyon... | Paul is generous. | entailment | (((~tall(lucy)|funny(lucy)))=>((old(john)&funny(john))))&
(![X]:((strong(X)|~tall(X))=>rich(X)))&
((?[X]:((~wise(X)&curious(X))))<=>((rich(mary)<~>~kind(mary))))&
((?[X]:((patient(X)<~>~old(X))))=>((~strong(lucy)&old(lucy))))&
(![X]:(brave(X)=>~brave(X)))&
(![X]:(~humble(X)=>(~kind(X)<~>~calm(X))))&
(![X]:((quiet(X)<~>... | generous(paul) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5454506343709004074784122
% SZS output start Proof for 5454506343709004074784122
5. ! [X0] : (brave(X0) => ~brave(X0)) [input p4]
13. ! [X0] : ((~generous(X0) | wise(X0)) <=> (brave(X0) & ~calm(X0))) [input p12]
25. ~generous(paul) [input hypothesis]
29. ! [X0] : (~brave(X0) | ~brave(X0))... | 0 |
If alice is not happy or not funny then fred is wise.
If someone is not patient or humble then someone is brave and vice versa.
If someone is either rich or brave then someone is both not patient and curious.
If someone is both brave and not funny then someone is not funny or not rich.
Everyone who is creative or not q... | Fred is brave. | neutral | (((~happy(alice)|~funny(alice)))=>(wise(fred)))&
((?[X]:((~patient(X)|humble(X))))<=>(?[X]:(brave(X))))&
((?[X]:((rich(X)<~>brave(X))))=>(?[X]:((~patient(X)&curious(X)))))&
((?[X]:((brave(X)&~funny(X))))=>(?[X]:((~funny(X)|~rich(X)))))&
(![X]:((creative(X)|~quiet(X))=>(humble(X)<~>~wise(X))))&
(![X]:(~happy(X)=>(~creat... | brave(fred) | [] | null | 0 |
Everyone who is both not curious and not brave is both calm and rich and vice versa.
Everyone who is both not happy and tall is either not rich or creative and vice versa.
Everyone who is not kind or kind is creative and vice versa.
Everyone who is both funny and humble is curious or not happy and vice versa.
If fred i... | Fred is not rich. | contradiction | (![X]:((~curious(X)&~brave(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)&tall(X))<=>(~rich(X)<~>creative(X))))&
(![X]:((~kind(X)|kind(X))<=>creative(X)))&
(![X]:((funny(X)&humble(X))<=>(curious(X)|~happy(X))))&
(((calm(fred)|brave(fred)))=>(?[X]:(strong(X))))&
(![X]:(brave(X)<=>(~calm(X)<~>~old(X))))&
(((funny(paul)|~ta... | ~rich(fred) | [
"p8",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8685959461765612941648547
% SZS output start Proof for 8685959461765612941648547
9. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~calm(X0) | patient(X0))) [input p8]
18. calm(fred) & ~happy(fred) [input p17]
22. ~generous(fred) & ~patient(fred) [input p21]
24. ~rich(fred) [input hypothesis]
52.... | 0 |
If lucy is not brave then someone is both not rich and kind. Everyone who is either brave or not humble is both rich and not funny. If susan is both not patient and not old then alice is tall or not curious. If someone is happy or generous then alice is not patient or not tall and vice versa. If lucy is generous then s... | Susan is not funny. | entailment | ((~brave(lucy))=>(?[X]:((~rich(X)&kind(X)))))&
(![X]:((brave(X)<~>~humble(X))=>(rich(X)&~funny(X))))&
(((~patient(susan)&~old(susan)))=>((tall(alice)|~curious(alice))))&
((?[X]:((happy(X)|generous(X))))<=>((~patient(alice)|~tall(alice))))&
((generous(lucy))=>(~funny(susan)))&
(((strong(fred)<~>kind(fred)))<=>(?[X]:((~g... | ~funny(susan) | [
"p1",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 52459964088344322124664
% SZS output start Proof for 52459964088344322124664
2. ! [X0] : ((brave(X0) <~> ~humble(X0)) => (~funny(X0) & rich(X0))) [input p1]
7. ! [X0] : ((~old(X0) & ~brave(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p6]
8. ! [X0] : ((happy(X0) | brave(X0)) <=> (generous(... | 0 |
If fred is either patient or not old then paul is both not generous and old and vice versa.
Everyone who is both patient and not rich is not brave.
Everyone who is both not tall and not strong is not old and vice versa.
If someone is both calm and tall then fred is both not strong and not curious and vice versa.
Everyo... | Susan is not funny. | neutral | (((patient(fred)<~>~old(fred)))<=>((~generous(paul)&old(paul))))&
(![X]:((patient(X)&~rich(X))=>~brave(X)))&
(![X]:((~tall(X)&~strong(X))<=>~old(X)))&
((?[X]:((calm(X)&tall(X))))<=>((~strong(fred)&~curious(fred))))&
(![X]:((strong(X)<~>~happy(X))=>(~funny(X)<~>~wise(X))))&
((?[X]:((~happy(X)&calm(X))))=>(?[X]:((calm(X)... | ~funny(susan) | [] | null | 0 |
Everyone who is either rich or tall is either not creative or creative and vice versa.
Everyone who is not kind or not humble is rich.
Everyone who is happy is both quiet and not calm and vice versa.
If someone is kind then john is both creative and not patient and vice versa.
Everyone who is not old is brave or not ta... | Mary is not old. | contradiction | (![X]:((rich(X)<~>tall(X))<=>(~creative(X)<~>creative(X))))&
(![X]:((~kind(X)|~humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(quiet(X)&~calm(X))))&
((?[X]:(kind(X)))<=>((creative(john)&~patient(john))))&
(![X]:(~old(X)=>(brave(X)|~tall(X))))&
((generous(john))=>((~tall(paul)|~kind(paul))))&
((?[X]:((wise(X)&~curious(X))))<=... | ~old(mary) | [
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2632656658720919011510834
% SZS output start Proof for 2632656658720919011510834
11. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (old(X0) & humble(X0))) [input p10]
13. ! [X0] : ((calm(X0) | ~creative(X0)) => (~humble(X0) & ~rich(X0))) [input p12]
21. humble(mary) [input p20]
22. ~old(mary) [i... | 0 |
If someone is not humble or strong then someone is not humble and vice versa.
Everyone who is both not patient and not calm is either not happy or not funny.
Everyone who is either generous or happy is both not old and creative and vice versa.
If mary is both not brave and not rich then someone is not tall or curious.
... | Mary is not brave. | neutral | ((?[X]:((~humble(X)|strong(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~calm(X))=>(~happy(X)<~>~funny(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~old(X)&creative(X))))&
(((~brave(mary)&~rich(mary)))=>(?[X]:((~tall(X)|curious(X)))))&
(((~old(lucy)<~>~funny(lucy)))<=>(?[X]:(funny(X))))&
(![X]:(wise(X)<=>(~humble(X)<... | ~brave(mary) | [] | null | 0 |
Everyone who is not tall or not kind is either not tall or not calm and vice versa.
Everyone who is both patient and rich is not calm or calm.
Everyone who is either not old or not kind is both wise and not tall.
Everyone who is both not wise and not humble is both tall and not happy and vice versa.
Everyone who is not... | Susan is not brave. | neutral | (![X]:((~tall(X)|~kind(X))<=>(~tall(X)<~>~calm(X))))&
(![X]:((patient(X)&rich(X))=>(~calm(X)|calm(X))))&
(![X]:((~old(X)<~>~kind(X))=>(wise(X)&~tall(X))))&
(![X]:((~wise(X)&~humble(X))<=>(tall(X)&~happy(X))))&
(![X]:(~brave(X)=>(curious(X)|brave(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((~funny(X)|rich(X)))))&
(... | ~brave(susan) | [] | null | 0 |
If alice is not brave then alice is both happy and rich and vice versa. If fred is not old or funny then lucy is both not generous and not curious and vice versa. Everyone who is both not kind and not creative is happy or tall. If someone is either humble or kind then someone is not humble. Everyone who is both not pat... | John is not old. | neutral | ((~brave(alice))<=>((happy(alice)&rich(alice))))&
(((~old(fred)|funny(fred)))<=>((~generous(lucy)&~curious(lucy))))&
(![X]:((~kind(X)&~creative(X))=>(happy(X)|tall(X))))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&curious(X))<=>funny(X)))&
(![X]:(tall(X)<=>(~rich(X)&~quiet(X))))&
(![X]:(... | ~old(john) | [] | null | 0 |
If someone is not rich then someone is both not creative and brave and vice versa. Everyone who is kind is either not quiet or kind and vice versa. If someone is not calm then mary is not humble or rich. Everyone who is humble or not funny is both funny and not strong. If paul is either calm or rich then lucy is both w... | Mary is humble. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:(kind(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:(~calm(X)))=>((~humble(mary)|rich(mary))))&
(![X]:((humble(X)|~funny(X))=>(funny(X)&~strong(X))))&
(((calm(paul)<~>rich(paul)))<=>((wise(lucy)&~tall(lucy))))&
((?[X]:(generous(X)))<=>(?[X]:(~humble(X))))&
(((~wise(m... | humble(mary) | [] | null | 0 |
If someone is both not curious and brave then someone is both not calm and happy. Everyone who is funny is both rich and strong and vice versa. Everyone who is not creative or rich is not calm and vice versa. Everyone who is both not old and not calm is both patient and not funny and vice versa. Everyone who is not qui... | Mary is not old. | contradiction | ((?[X]:((~curious(X)&brave(X))))=>(?[X]:((~calm(X)&happy(X)))))&
(![X]:(funny(X)<=>(rich(X)&strong(X))))&
(![X]:((~creative(X)|rich(X))<=>~calm(X)))&
(![X]:((~old(X)&~calm(X))<=>(patient(X)&~funny(X))))&
(![X]:(~quiet(X)=>(wise(X)<~>~funny(X))))&
(![X]:((creative(X)<~>wise(X))=>(~happy(X)|~patient(X))))&
(((~calm(john)... | ~old(mary) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2623673238130999813889498
% SZS output start Proof for 2623673238130999813889498
2. ! [X0] : (funny(X0) <=> (strong(X0) & rich(X0))) [input p1]
3. ! [X0] : ((rich(X0) | ~creative(X0)) <=> ~calm(X0)) [input p2]
4. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (~funny(X0) & patient(X0))) [input p3]
... | 0 |
Everyone who is curious or funny is either not patient or creative.
If fred is not happy or calm then someone is either curious or generous.
If alice is either patient or not tall then susan is humble or brave.
Everyone who is not tall is patient and vice versa.
If someone is either not humble or funny then someone is ... | Fred is not rich. | contradiction | (![X]:((curious(X)|funny(X))=>(~patient(X)<~>creative(X))))&
(((~happy(fred)|calm(fred)))=>(?[X]:((curious(X)<~>generous(X)))))&
(((patient(alice)<~>~tall(alice)))=>((humble(susan)|brave(susan))))&
(![X]:(~tall(X)<=>patient(X)))&
((?[X]:((~humble(X)<~>funny(X))))=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:(~calm(X)<=>(~... | ~rich(fred) | [
"p0",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 27883872501503872251958
% SZS output start Proof for 27883872501503872251958
1. ! [X0] : ((funny(X0) | curious(X0)) => (~patient(X0) <~> creative(X0))) [input p0]
7. ! [X0] : (~creative(X0) <=> (~happy(X0) & generous(X0))) [input p6]
8. ! [X0] : ((creative(X0) & funny(X0)) <=> ~curious(X0... | 0 |
Everyone who is humble or not old is both rich and curious and vice versa. If mary is not quiet then fred is generous and vice versa. Everyone who is happy or not kind is quiet or creative. If john is both generous and not happy then someone is either strong or humble and vice versa. If mary is not happy then lucy is b... | John is creative. | contradiction | (![X]:((humble(X)|~old(X))<=>(rich(X)&curious(X))))&
((~quiet(mary))<=>(generous(fred)))&
(![X]:((happy(X)|~kind(X))=>(quiet(X)|creative(X))))&
(((generous(john)&~happy(john)))<=>(?[X]:((strong(X)<~>humble(X)))))&
((~happy(mary))<=>((~funny(lucy)&patient(lucy))))&
(![X]:((funny(X)&~wise(X))=>(generous(X)&~rich(X))))&
(... | creative(john) | [
"p9",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5379676479600108852353111
% SZS output start Proof for 5379676479600108852353111
10. ! [X0] : (~calm(X0) => (~humble(X0) & ~quiet(X0))) [input p9]
11. ! [X0] : ((~wise(X0) & generous(X0)) <=> ~calm(X0)) [input p10]
13. ! [X0] : (~wise(X0) => (humble(X0) & tall(X0))) [input p12]
17. ~creat... | 0 |
If someone is both not creative and not happy then john is not generous.
If john is patient then mary is not generous or happy.
Everyone who is both old and not strong is not quiet and vice versa.
If john is old then susan is both not funny and generous.
Everyone who is humble or not generous is both not happy and not ... | Mary is not creative. | contradiction | ((?[X]:((~creative(X)&~happy(X))))=>(~generous(john)))&
((patient(john))=>((~generous(mary)|happy(mary))))&
(![X]:((old(X)&~strong(X))<=>~quiet(X)))&
((old(john))=>((~funny(susan)&generous(susan))))&
(![X]:((humble(X)|~generous(X))<=>(~happy(X)&~funny(X))))&
(![X]:((~wise(X)|strong(X))=>(calm(X)<~>~brave(X))))&
(((kind... | ~creative(mary) | [
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4593762954704202278657401
% SZS output start Proof for 4593762954704202278657401
5. ! [X0] : ((~generous(X0) | humble(X0)) <=> (~funny(X0) & ~happy(X0))) [input p4]
13. ! [X0] : ((~creative(X0) & ~humble(X0)) => (funny(X0) & ~generous(X0))) [input p12]
14. ! [X0] : (~brave(X0) <=> (humble... | 0 |
Everyone who is both not brave and not generous is either rich or not patient and vice versa. Everyone who is both not wise and kind is not humble. Everyone who is happy is patient or not happy. If alice is brave or not tall then someone is quiet. If lucy is both not quiet and creative then fred is tall and vice versa.... | Paul is generous. | contradiction | (![X]:((~brave(X)&~generous(X))<=>(rich(X)<~>~patient(X))))&
(![X]:((~wise(X)&kind(X))=>~humble(X)))&
(![X]:(happy(X)=>(patient(X)|~happy(X))))&
(((brave(alice)|~tall(alice)))=>(?[X]:(quiet(X))))&
(((~quiet(lucy)&creative(lucy)))<=>(tall(fred)))&
((?[X]:((~old(X)|~funny(X))))<=>(calm(paul)))&
(![X]:(~humble(X)<=>(rich(... | generous(paul) | [
"p0",
"p7",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9184693072514905204374811
% SZS output start Proof for 9184693072514905204374811
1. ! [X0] : ((~generous(X0) & ~brave(X0)) <=> (rich(X0) <~> ~patient(X0))) [input p0]
8. ! [X0] : ((~rich(X0) <~> ~generous(X0)) <=> ~wise(X0)) [input p7]
10. ! [X0] : (~patient(X0) <=> ~wise(X0)) [input p9]
... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is not funny is either strong or not strong.
If someone is both happy and patient then someone is not kind or curious and vice versa.
Everyone who is not strong is not humble or not brave.
If someone is either n... | Mary is not curious. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:(~funny(X)=>(strong(X)<~>~strong(X))))&
((?[X]:((happy(X)&patient(X))))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(~strong(X)=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~pati... | ~curious(mary) | [
"p0",
"p7",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7576707195214027130594697
% SZS output start Proof for 7576707195214027130594697
1. ! [X0] : ((~brave(X0) <~> ~generous(X0)) <=> (~tall(X0) & ~brave(X0))) [input p0]
8. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p7]
9. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0))... | 0 |
Everyone who is not old or tall is either happy or curious and vice versa. Everyone who is both funny and old is not rich and vice versa. If someone is not humble or calm then alice is not strong and vice versa. If someone is either not kind or tall then someone is not humble. Everyone who is both humble and not funny ... | Alice is not rich. | contradiction | (![X]:((~old(X)|tall(X))<=>(happy(X)<~>curious(X))))&
(![X]:((funny(X)&old(X))<=>~rich(X)))&
((?[X]:((~humble(X)|calm(X))))<=>(~strong(alice)))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~kind(X)&creative(X))=>calm(X)))&
((?[X]:((patient(X)&... | ~rich(alice) | [
"p1",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5394945102973546575147879
% SZS output start Proof for 5394945102973546575147879
2. ! [X0] : ((old(X0) & funny(X0)) <=> ~rich(X0)) [input p1]
12. ! [X0] : (funny(X0) <=> (~kind(X0) & ~strong(X0))) [input p11]
14. ! [X0] : ((~strong(X0) | kind(X0)) => (~humble(X0) & ~funny(X0))) [input p13... | 0 |
If mary is either not strong or generous then paul is not calm and vice versa. If susan is either happy or not wise then paul is either not humble or not rich. If fred is either kind or wise then lucy is either not brave or old and vice versa. Everyone who is either funny or not rich is both not wise and not calm. Ever... | Mary is old. | neutral | (((~strong(mary)<~>generous(mary)))<=>(~calm(paul)))&
(((happy(susan)<~>~wise(susan)))=>((~humble(paul)<~>~rich(paul))))&
(((kind(fred)<~>wise(fred)))<=>((~brave(lucy)<~>old(lucy))))&
(![X]:((funny(X)<~>~rich(X))=>(~wise(X)&~calm(X))))&
(![X]:((creative(X)|old(X))=>(~creative(X)&~brave(X))))&
(![X]:((patient(X)&kind(X)... | old(mary) | [] | null | 0 |
If someone is both brave and not calm then someone is both not funny and old.
If lucy is wise then paul is rich and vice versa.
If fred is either not humble or wise then someone is kind and vice versa.
If susan is either not patient or not strong then fred is tall.
Everyone who is not rich is both humble and not genero... | Fred is humble. | contradiction | ((?[X]:((brave(X)&~calm(X))))=>(?[X]:((~funny(X)&old(X)))))&
((wise(lucy))<=>(rich(paul)))&
(((~humble(fred)<~>wise(fred)))<=>(?[X]:(kind(X))))&
(((~patient(susan)<~>~strong(susan)))=>(tall(fred)))&
(![X]:(~rich(X)<=>(humble(X)&~generous(X))))&
(![X]:((generous(X)<~>strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:((curi... | humble(fred) | [
"p2",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 91014727616788531969809
% SZS output start Proof for 91014727616788531969809
3. (~humble(fred) <~> wise(fred)) <=> ? [X0] : kind(X0) [input p2]
7. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (curious(X0) & ~wise(X0))) [input p6]
9. ! [X0] : (~humble(X0) <=> (~calm(X0) | quiet(X0))) [input p8... | 0 |
Everyone who is not humble is not old.
If mary is old then paul is wise or funny.
Everyone who is either not quiet or calm is both not curious and patient.
If someone is both not calm and funny then lucy is either not funny or not tall and vice versa.
If lucy is not generous or not patient then someone is either quiet ... | Lucy is not tall. | neutral | (![X]:(~humble(X)=>~old(X)))&
((old(mary))=>((wise(paul)|funny(paul))))&
(![X]:((~quiet(X)<~>calm(X))=>(~curious(X)&patient(X))))&
((?[X]:((~calm(X)&funny(X))))<=>((~funny(lucy)<~>~tall(lucy))))&
(((~generous(lucy)|~patient(lucy)))<=>(?[X]:((quiet(X)<~>generous(X)))))&
(![X]:((quiet(X)&~curious(X))=>~strong(X)))&
(((ha... | ~tall(lucy) | [] | null | 0 |
If alice is not humble or not wise then paul is either not quiet or not strong and vice versa.
If someone is generous or not tall then alice is kind or brave.
If fred is either not happy or tall then someone is old and vice versa.
Everyone who is not creative is creative or tall and vice versa.
Everyone who is humble o... | John is quiet. | neutral | (((~humble(alice)|~wise(alice)))<=>((~quiet(paul)<~>~strong(paul))))&
((?[X]:((generous(X)|~tall(X))))=>((kind(alice)|brave(alice))))&
(((~happy(fred)<~>tall(fred)))<=>(?[X]:(old(X))))&
(![X]:(~creative(X)<=>(creative(X)|tall(X))))&
(![X]:((humble(X)|~funny(X))<=>~rich(X)))&
(![X]:((tall(X)<~>funny(X))<=>(~generous(X)&... | quiet(john) | [] | null | 0 |
If someone is not generous or wise then someone is both not brave and humble and vice versa. Everyone who is not creative or creative is either rich or not tall and vice versa. Everyone who is not quiet or not humble is both not calm and old and vice versa. Everyone who is rich is old and vice versa. If alice is not ha... | Alice is not wise. | entailment | ((?[X]:((~generous(X)|wise(X))))<=>(?[X]:((~brave(X)&humble(X)))))&
(![X]:((~creative(X)|creative(X))<=>(rich(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~humble(X))<=>(~calm(X)&old(X))))&
(![X]:(rich(X)<=>old(X)))&
(((~happy(alice)|wise(alice)))=>(~funny(fred)))&
(![X]:((humble(X)|patient(X))<=>(~funny(X)&funny(X))))&
(![X]:(... | ~wise(alice) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 289639332404714180440495
% SZS output start Proof for 289639332404714180440495
1. ? [X0] : (wise(X0) | ~generous(X0)) <=> ? [X0] : (humble(X0) & ~brave(X0)) [input p0]
6. ! [X0] : ((patient(X0) | humble(X0)) <=> (funny(X0) & ~funny(X0))) [input p5]
18. wise(alice) [input hypothesis]
19. ?... | 0 |
If someone is both not old and rich then mary is old or not funny.
If fred is humble then lucy is patient.
If mary is both creative and not kind then someone is both not generous and not curious and vice versa.
Everyone who is not rich or not funny is not creative or not rich.
Everyone who is both patient and quiet is ... | Lucy is not old. | entailment | ((?[X]:((~old(X)&rich(X))))=>((old(mary)|~funny(mary))))&
((humble(fred))=>(patient(lucy)))&
(((creative(mary)&~kind(mary)))<=>(?[X]:((~generous(X)&~curious(X)))))&
(![X]:((~rich(X)|~funny(X))=>(~creative(X)|~rich(X))))&
(![X]:((patient(X)&quiet(X))<=>patient(X)))&
((?[X]:(curious(X)))=>(~old(lucy)))&
(((brave(susan)|c... | ~old(lucy) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4237085724781915161753688
% SZS output start Proof for 4237085724781915161753688
6. ? [X0] : curious(X0) => ~old(lucy) [input p5]
21. curious(mary) & funny(mary) [input p20]
25. old(lucy) [input hypothesis]
32. ~old(lucy) | ! [X0] : ~curious(X0) [ennf transformation 6]
88. ~old(lucy) | ~c... | 0 |
If someone is either not rich or not happy then someone is not generous and vice versa.
If someone is not humble or happy then someone is not old or not calm and vice versa.
Everyone who is not rich is not kind.
Everyone who is not generous or not calm is both not strong and not rich and vice versa.
Everyone who is eit... | Paul is tall. | entailment | ((?[X]:((~rich(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:(~rich(X)=>~kind(X)))&
(![X]:((~generous(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(happy(X)&~humble(X))))&
((quiet(paul))<=>(?[X]:((brave(X)|happy(X)))))&
(![... | tall(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9024771689489828571373396
% SZS output start Proof for 9024771689489828571373396
7. ! [X0] : ((~funny(X0) | funny(X0)) <=> (curious(X0) & tall(X0))) [input p6]
22. ~tall(paul) [input hypothesis]
49. ! [X0] : (((~funny(X0) | funny(X0)) | (~curious(X0) | ~tall(X0))) & ((curious(X0) & tall(X... | 0 |
If someone is old or quiet then fred is both generous and funny and vice versa.
Everyone who is not generous or not happy is quiet.
If someone is both curious and brave then john is not wise and vice versa.
If someone is either old or curious then mary is either quiet or not rich and vice versa.
If someone is both funn... | Paul is not calm. | neutral | ((?[X]:((old(X)|quiet(X))))<=>((generous(fred)&funny(fred))))&
(![X]:((~generous(X)|~happy(X))=>quiet(X)))&
((?[X]:((curious(X)&brave(X))))<=>(~wise(john)))&
((?[X]:((old(X)<~>curious(X))))<=>((quiet(mary)<~>~rich(mary))))&
((?[X]:((funny(X)&~wise(X))))<=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((patient(X)<~>creative(X))... | ~calm(paul) | [] | null | 0 |
Everyone who is both humble and not humble is either not tall or creative.
If lucy is both not kind and happy then someone is not happy or kind and vice versa.
Everyone who is humble is generous and vice versa.
Everyone who is either not strong or generous is both tall and not kind and vice versa.
Everyone who is not h... | Lucy is humble. | entailment | (![X]:((humble(X)&~humble(X))=>(~tall(X)<~>creative(X))))&
(((~kind(lucy)&happy(lucy)))<=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:(humble(X)<=>generous(X)))&
(![X]:((~strong(X)<~>generous(X))<=>(tall(X)&~kind(X))))&
(![X]:((~happy(X)|~rich(X))=>(old(X)|humble(X))))&
(((~patient(fred)|~wise(fred)))=>(~generous(john)))&
((?... | humble(lucy) | [
"p1",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2193715923051947470458875
% SZS output start Proof for 2193715923051947470458875
2. (happy(lucy) & ~kind(lucy)) <=> ? [X0] : (kind(X0) | ~happy(X0)) [input p1]
10. ! [X0] : ((~kind(X0) <~> ~humble(X0)) <=> (~calm(X0) & ~brave(X0))) [input p9]
11. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~c... | 0 |
If someone is either old or curious then lucy is either rich or not quiet and vice versa.
Everyone who is either not generous or not calm is not tall or patient.
Everyone who is not brave is both strong and quiet and vice versa.
Everyone who is not creative is brave and vice versa.
If someone is either generous or quie... | Lucy is generous. | neutral | ((?[X]:((old(X)<~>curious(X))))<=>((rich(lucy)<~>~quiet(lucy))))&
(![X]:((~generous(X)<~>~calm(X))=>(~tall(X)|patient(X))))&
(![X]:(~brave(X)<=>(strong(X)&quiet(X))))&
(![X]:(~creative(X)<=>brave(X)))&
((?[X]:((generous(X)<~>quiet(X))))=>(?[X]:((~calm(X)<~>~brave(X)))))&
(![X]:((~tall(X)&strong(X))=>~tall(X)))&
((~brav... | generous(lucy) | [] | null | 0 |
Everyone who is both not wise and curious is wise and vice versa. Everyone who is both not patient and curious is both quiet and humble and vice versa. Everyone who is quiet is either not generous or rich and vice versa. Everyone who is creative is both creative and not funny. Everyone who is wise is not patient or not... | John is old. | entailment | (![X]:((~wise(X)&curious(X))<=>wise(X)))&
(![X]:((~patient(X)&curious(X))<=>(quiet(X)&humble(X))))&
(![X]:(quiet(X)<=>(~generous(X)<~>rich(X))))&
(![X]:(creative(X)=>(creative(X)&~funny(X))))&
(![X]:(wise(X)<=>(~patient(X)|~kind(X))))&
(![X]:(wise(X)=>(~humble(X)&~happy(X))))&
(![X]:((~strong(X)<~>rich(X))=>(~tall(X)<~... | old(john) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7350550058768029638869980
% SZS output start Proof for 7350550058768029638869980
1. ! [X0] : ((curious(X0) & ~wise(X0)) <=> wise(X0)) [input p0]
8. ! [X0] : ((~quiet(X0) | ~old(X0)) => (curious(X0) | wise(X0))) [input p7]
18. ~old(john) [input hypothesis]
28. ! [X0] : ((curious(X0) | wise... | 0 |
Everyone who is brave is old or not humble and vice versa.
If someone is brave or not generous then someone is both not brave and humble.
If someone is either quiet or funny then lucy is both funny and old and vice versa.
If fred is not generous then lucy is both patient and brave and vice versa.
Everyone who is not fu... | Susan is funny. | contradiction | (![X]:(brave(X)<=>(old(X)|~humble(X))))&
((?[X]:((brave(X)|~generous(X))))=>(?[X]:((~brave(X)&humble(X)))))&
((?[X]:((quiet(X)<~>funny(X))))<=>((funny(lucy)&old(lucy))))&
((~generous(fred))<=>((patient(lucy)&brave(lucy))))&
(![X]:(~funny(X)<=>happy(X)))&
(![X]:(kind(X)<=>~brave(X)))&
(((~tall(alice)&~quiet(alice)))<=>(... | funny(susan) | [
"p2",
"p4",
"p8",
"p10",
"p11",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6132201455801970918387594
% SZS output start Proof for 6132201455801970918387594
3. ? [X0] : (quiet(X0) <~> funny(X0)) <=> (old(lucy) & funny(lucy)) [input p2]
5. ! [X0] : (~funny(X0) <=> happy(X0)) [input p4]
9. ! [X0] : (creative(X0) => (curious(X0) <~> ~happy(X0))) [input p8]
11. ! [X0... | 0 |
If someone is not old or creative then someone is either not rich or not humble. Everyone who is wise or humble is calm. Everyone who is not kind or not rich is either calm or not old. Everyone who is rich or happy is either not brave or not rich and vice versa. Everyone who is wise or not rich is both not old and not ... | Mary is humble. | contradiction | ((?[X]:((~old(X)|creative(X))))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((wise(X)|humble(X))=>calm(X)))&
(![X]:((~kind(X)|~rich(X))=>(calm(X)<~>~old(X))))&
(![X]:((rich(X)|happy(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:((wise(X)|~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:(~old(X)))=>((calm(paul)|tall(paul))))&
(![X]:((pat... | humble(mary) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6591908935095650258641188
% SZS output start Proof for 6591908935095650258641188
2. ! [X0] : ((humble(X0) | wise(X0)) => calm(X0)) [input p1]
5. ! [X0] : ((~rich(X0) | wise(X0)) <=> (~rich(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((old(X0) <~> patient(X0)) => (~happy(X0) & ~rich(X0))) [inp... | 0 |
If someone is not calm or not rich then someone is not creative or curious and vice versa. Everyone who is patient or calm is not wise and vice versa. Everyone who is not old or curious is not brave or creative and vice versa. If someone is both curious and brave then someone is both not funny and not kind and vice ver... | Fred is generous. | neutral | ((?[X]:((~calm(X)|~rich(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(![X]:((patient(X)|calm(X))<=>~wise(X)))&
(![X]:((~old(X)|curious(X))<=>(~brave(X)|creative(X))))&
((?[X]:((curious(X)&brave(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
(![X]:((~quiet(X)<~>kind(X))=>(~funny(X)|creative(X))))&
(![X]:((~rich(X)|~creative(X)... | generous(fred) | [] | null | 0 |
Everyone who is not curious or generous is not wise.
If fred is either not happy or calm then fred is curious or not kind and vice versa.
If lucy is either creative or not patient then lucy is kind.
Everyone who is creative is either not funny or curious and vice versa.
If someone is both not rich and wise then someone... | Mary is humble. | neutral | (![X]:((~curious(X)|generous(X))=>~wise(X)))&
(((~happy(fred)<~>calm(fred)))<=>((curious(fred)|~kind(fred))))&
(((creative(lucy)<~>~patient(lucy)))=>(kind(lucy)))&
(![X]:(creative(X)<=>(~funny(X)<~>curious(X))))&
((?[X]:((~rich(X)&wise(X))))<=>(?[X]:((tall(X)&~kind(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((strong(X)&old(X)... | humble(mary) | [] | null | 0 |
Everyone who is kind or funny is both not strong and not quiet and vice versa.
Everyone who is patient or not brave is wise or not kind and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
Everyone who is generous or not generous is not tall.
Everyone who is not quiet is creative.
Ever... | Susan is strong. | neutral | (![X]:((kind(X)|funny(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((patient(X)|~brave(X))<=>(wise(X)|~kind(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
(![X]:((generous(X)|~generous(X))=>~tall(X)))&
(![X]:(~quiet(X)=>creative(X)))&
(![X]:(strong(X)<=>(~kind(X)<~>creative(X))))&
((?[X]:((~quiet(X)&strong(X)))... | strong(susan) | [] | null | 0 |
Everyone who is not rich or kind is both not tall and happy and vice versa.
Everyone who is brave is both not funny and wise and vice versa.
Everyone who is both quiet and not creative is either happy or not kind.
If someone is not curious or not wise then lucy is not humble and vice versa.
If lucy is both humble and n... | Paul is generous. | neutral | (![X]:((~rich(X)|kind(X))<=>(~tall(X)&happy(X))))&
(![X]:(brave(X)<=>(~funny(X)&wise(X))))&
(![X]:((quiet(X)&~creative(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~curious(X)|~wise(X))))<=>(~humble(lucy)))&
(((humble(lucy)&~humble(lucy)))<=>(?[X]:((~curious(X)<~>happy(X)))))&
((tall(susan))<=>(?[X]:((~old(X)|quiet(X)))))&
(... | generous(paul) | [] | null | 0 |
Everyone who is not strong is curious or not funny and vice versa.
If lucy is both quiet and strong then someone is either funny or creative and vice versa.
Everyone who is either not old or not humble is either brave or not curious.
If alice is calm or not curious then someone is not kind or patient.
If john is funny ... | Alice is not humble. | entailment | (![X]:(~strong(X)<=>(curious(X)|~funny(X))))&
(((quiet(lucy)&strong(lucy)))<=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((~old(X)<~>~humble(X))=>(brave(X)<~>~curious(X))))&
(((calm(alice)|~curious(alice)))=>(?[X]:((~kind(X)|patient(X)))))&
((funny(john))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:((~patient(X)&~humble(X))<=... | ~humble(alice) | [
"p0",
"p1",
"p9",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8258286683630088933577288
% SZS output start Proof for 8258286683630088933577288
1. ! [X0] : (~strong(X0) <=> (~funny(X0) | curious(X0))) [input p0]
2. (strong(lucy) & quiet(lucy)) <=> ? [X0] : (funny(X0) <~> creative(X0)) [input p1]
10. ! [X0] : ((~strong(X0) | tall(X0)) <=> (curious(X0)... | 0 |
If someone is either strong or not tall then john is either happy or not kind and vice versa. If someone is not patient then someone is not happy and vice versa. Everyone who is calm or curious is either not happy or quiet. If lucy is both not generous and happy then susan is both not quiet and not calm. If someone is ... | Susan is funny. | contradiction | ((?[X]:((strong(X)<~>~tall(X))))<=>((happy(john)<~>~kind(john))))&
((?[X]:(~patient(X)))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|curious(X))=>(~happy(X)<~>quiet(X))))&
(((~generous(lucy)&happy(lucy)))=>((~quiet(susan)&~calm(susan))))&
((?[X]:((brave(X)|~calm(X))))<=>((curious(paul)&~happy(paul))))&
((?[X]:((~wise(X)<~>~... | funny(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 556588736854949888664362
% SZS output start Proof for 556588736854949888664362
12. ! [X0] : (patient(X0) <=> (~funny(X0) | ~patient(X0))) [input p11]
21. funny(susan) [input hypothesis]
61. ! [X0] : ((patient(X0) | (funny(X0) & patient(X0))) & ((~funny(X0) | ~patient(X0)) | ~patient(X0)))... | 0 |
If fred is kind then someone is not happy or generous.
Everyone who is not brave is either not brave or not patient.
Everyone who is not rich is not creative or not curious and vice versa.
If lucy is strong or rich then susan is both not curious and not brave.
Everyone who is either happy or kind is not tall and vice v... | Mary is tall. | neutral | ((kind(fred))=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:(~brave(X)=>(~brave(X)<~>~patient(X))))&
(![X]:(~rich(X)<=>(~creative(X)|~curious(X))))&
(((strong(lucy)|rich(lucy)))=>((~curious(susan)&~brave(susan))))&
(![X]:((happy(X)<~>kind(X))<=>~tall(X)))&
((brave(fred))=>((~generous(alice)|~brave(alice))))&
(![X]:(~strong... | tall(mary) | [] | null | 0 |
Everyone who is generous or humble is both wise and strong and vice versa.
Everyone who is either not humble or not kind is both kind and generous and vice versa.
If someone is not patient or kind then someone is either patient or not kind.
If susan is both quiet and not tall then someone is not curious and vice versa.... | Alice is humble. | contradiction | (![X]:((generous(X)|humble(X))<=>(wise(X)&strong(X))))&
(![X]:((~humble(X)<~>~kind(X))<=>(kind(X)&generous(X))))&
((?[X]:((~patient(X)|kind(X))))=>(?[X]:((patient(X)<~>~kind(X)))))&
(((quiet(susan)&~tall(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)|~funny(X))<=>(~old(X)&happy(X))))&
(![X]:((~generous(X)|~kind(... | humble(alice) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4510375809961806895785876
% SZS output start Proof for 4510375809961806895785876
2. ! [X0] : ((~humble(X0) <~> ~kind(X0)) <=> (generous(X0) & kind(X0))) [input p1]
6. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> (generous(X0) & rich(X0))) [input p5]
23. humble(alice) [input hypothesis]
35. !... | 0 |
Everyone who is tall or kind is curious or tall.
Everyone who is kind or not rich is quiet or not funny.
Everyone who is either happy or not calm is either not wise or rich and vice versa.
If someone is strong or curious then someone is creative.
Everyone who is not patient or brave is either not patient or not funny a... | Fred is curious. | neutral | (![X]:((tall(X)|kind(X))=>(curious(X)|tall(X))))&
(![X]:((kind(X)|~rich(X))=>(quiet(X)|~funny(X))))&
(![X]:((happy(X)<~>~calm(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((strong(X)|curious(X))))=>(?[X]:(creative(X))))&
(![X]:((~patient(X)|brave(X))<=>(~patient(X)<~>~funny(X))))&
(((old(lucy)<~>wise(lucy)))<=>(?[X]:((~old(X)|... | curious(fred) | [] | null | 0 |
If someone is either not wise or not creative then someone is both happy and not wise and vice versa.
If someone is either kind or old then someone is either not patient or kind and vice versa.
Everyone who is both not patient and calm is either curious or old.
If someone is strong then someone is not strong or not tal... | Fred is old. | entailment | ((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((happy(X)&~wise(X)))))&
((?[X]:((kind(X)<~>old(X))))<=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((~patient(X)&calm(X))=>(curious(X)<~>old(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)|~tall(X)))))&
(((patient(lucy)<~>humble(lucy)))<=>(?[X]:((~wise(X)<~>~happy(X)))))&
((qui... | old(fred) | [
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6221601668965588675930069
% SZS output start Proof for 6221601668965588675930069
9. ! [X0] : ((old(X0) | ~calm(X0)) <=> (rich(X0) | humble(X0))) [input p8]
10. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~rich(X0) & funny(X0))) [input p9]
11. ! [X0] : ((brave(X0) | ~humble(X0)) => rich(X0)) ... | 0 |
Everyone who is either quiet or not wise is either not quiet or not strong and vice versa.
Everyone who is either not generous or not funny is both old and generous and vice versa.
Everyone who is not strong or humble is both curious and patient and vice versa.
If someone is happy or quiet then alice is either not rich... | Paul is not calm. | contradiction | (![X]:((quiet(X)<~>~wise(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:((~generous(X)<~>~funny(X))<=>(old(X)&generous(X))))&
(![X]:((~strong(X)|humble(X))<=>(curious(X)&patient(X))))&
((?[X]:((happy(X)|quiet(X))))=>((~rich(alice)<~>funny(alice))))&
(![X]:((~brave(X)|~calm(X))=>~humble(X)))&
((?[X]:((patient(X)|~kind(X))))<=>... | ~calm(paul) | [
"p1",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7232196019823048137824786
% SZS output start Proof for 7232196019823048137824786
2. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> (generous(X0) & old(X0))) [input p1]
15. ! [X0] : ((~funny(X0) | calm(X0)) => (strong(X0) & calm(X0))) [input p14]
21. ~generous(paul) [input p20]
23. ~calm(pau... | 0 |
Everyone who is both strong and not generous is curious. Everyone who is either not tall or creative is either tall or not brave and vice versa. If someone is calm or not strong then someone is not kind and vice versa. Everyone who is both calm and not happy is not calm and vice versa. If someone is generous then mary ... | Alice is happy. | entailment | (![X]:((strong(X)&~generous(X))=>curious(X)))&
(![X]:((~tall(X)<~>creative(X))<=>(tall(X)<~>~brave(X))))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)&~happy(X))<=>~calm(X)))&
((?[X]:(generous(X)))<=>((creative(mary)<~>~patient(mary))))&
((?[X]:(~rich(X)))=>(?[X]:((~creative(X)&~quiet(X)))))&
(!... | happy(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7244744376925357816738605
% SZS output start Proof for 7244744376925357816738605
4. ! [X0] : ((~happy(X0) & calm(X0)) <=> ~calm(X0)) [input p3]
25. ~happy(alice) [input hypothesis]
45. ! [X0] : (((~happy(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (happy(X0) | ~calm(X0)))) [nnf transformat... | 0 |
If someone is old or strong then fred is either strong or kind and vice versa.
Everyone who is happy is wise or not old and vice versa.
Everyone who is both quiet and strong is either calm or not generous and vice versa.
If someone is both not curious and patient then someone is either kind or old.
Everyone who is both... | Alice is patient. | entailment | ((?[X]:((old(X)|strong(X))))<=>((strong(fred)<~>kind(fred))))&
(![X]:(happy(X)<=>(wise(X)|~old(X))))&
(![X]:((quiet(X)&strong(X))<=>(calm(X)<~>~generous(X))))&
((?[X]:((~curious(X)&patient(X))))=>(?[X]:((kind(X)<~>old(X)))))&
(![X]:((calm(X)&~brave(X))=>(strong(X)&quiet(X))))&
(![X]:(calm(X)<=>(~patient(X)|humble(X))))... | patient(alice) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 399563750936711559807268
% SZS output start Proof for 399563750936711559807268
6. ! [X0] : (calm(X0) <=> (humble(X0) | ~patient(X0))) [input p5]
22. ~calm(alice) & wise(alice) [input p21]
25. ~patient(alice) [input hypothesis]
50. ! [X0] : ((calm(X0) | (~humble(X0) & patient(X0))) & ((hum... | 0 |
If someone is either not brave or generous then someone is not old.
If someone is not happy then someone is both not funny and humble and vice versa.
If someone is both tall and curious then someone is either not old or quiet.
Everyone who is either curious or funny is not humble or not calm and vice versa.
Everyone wh... | Mary is strong. | entailment | ((?[X]:((~brave(X)<~>generous(X))))=>(?[X]:(~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~funny(X)&humble(X)))))&
((?[X]:((tall(X)&curious(X))))=>(?[X]:((~old(X)<~>quiet(X)))))&
(![X]:((curious(X)<~>funny(X))<=>(~humble(X)|~calm(X))))&
(![X]:(quiet(X)<=>(~generous(X)|kind(X))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~c... | strong(mary) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8405154995352177773160437
% SZS output start Proof for 8405154995352177773160437
10. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (~strong(X0) & humble(X0))) [input p9]
14. ! [X0] : ((~strong(X0) | brave(X0)) => ~humble(X0)) [input p13]
25. ~strong(mary) [input hypothesis]
34. ! [X0] : ((~stro... | 0 |
If someone is quiet or not creative then paul is either not happy or kind and vice versa. If lucy is not creative or rich then alice is both not generous and not tall. If susan is not wise or brave then lucy is both not generous and strong. Everyone who is both strong and funny is brave. Everyone who is not brave or no... | John is creative. | contradiction | ((?[X]:((quiet(X)|~creative(X))))<=>((~happy(paul)<~>kind(paul))))&
(((~creative(lucy)|rich(lucy)))=>((~generous(alice)&~tall(alice))))&
(((~wise(susan)|brave(susan)))=>((~generous(lucy)&strong(lucy))))&
(![X]:((strong(X)&funny(X))=>brave(X)))&
(![X]:((~brave(X)|~quiet(X))=>(tall(X)&~rich(X))))&
(![X]:((~kind(X)<~>happ... | creative(john) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 467497432330346662917559
% SZS output start Proof for 467497432330346662917559
14. ! [X0] : (creative(X0) <=> patient(X0)) [input p13]
18. ~patient(john) & kind(john) [input p17]
23. creative(john) [input hypothesis]
63. ! [X0] : ((creative(X0) | ~patient(X0)) & (patient(X0) | ~creative(X... | 0 |
If mary is both not happy and calm then someone is both not calm and not funny.
Everyone who is either not kind or strong is either happy or old and vice versa.
If paul is either not patient or generous then someone is not quiet or not rich.
Everyone who is patient or brave is either not happy or not kind and vice vers... | Paul is not tall. | contradiction | (((~happy(mary)&calm(mary)))=>(?[X]:((~calm(X)&~funny(X)))))&
(![X]:((~kind(X)<~>strong(X))<=>(happy(X)<~>old(X))))&
(((~patient(paul)<~>generous(paul)))=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:((patient(X)|brave(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:((~generous(X)|kind(X))<=>(kind(X)&quiet(X))))&
(![X]:(creative(X)<=>(... | ~tall(paul) | [
"p1",
"p3",
"p8",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6275511837603605316682726
% SZS output start Proof for 6275511837603605316682726
2. ! [X0] : ((~kind(X0) <~> strong(X0)) <=> (happy(X0) <~> old(X0))) [input p1]
4. ! [X0] : ((brave(X0) | patient(X0)) <=> (~happy(X0) <~> ~kind(X0))) [input p3]
9. ! [X0] : ((patient(X0) | ~kind(X0)) <=> tal... | 0 |
Everyone who is both not quiet and not humble is either funny or not humble.
Everyone who is both not kind and wise is both curious and strong and vice versa.
Everyone who is both humble and tall is both not generous and funny and vice versa.
If john is either old or not curious then someone is quiet and vice versa.
If... | Alice is brave. | contradiction | (![X]:((~quiet(X)&~humble(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~kind(X)&wise(X))<=>(curious(X)&strong(X))))&
(![X]:((humble(X)&tall(X))<=>(~generous(X)&funny(X))))&
(((old(john)<~>~curious(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((~strong(X)&quiet(X))=>(~rich... | brave(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1791871162438826529533739
% SZS output start Proof for 1791871162438826529533739
22. ~strong(alice) & ~brave(alice) [input p21]
25. brave(alice) [input hypothesis]
133. ~brave(alice) [cnf transformation 22]
137. brave(alice) [cnf transformation 25]
270. $false [subsumption resolution 137,... | 0 |
If fred is both quiet and not brave then alice is brave or strong. Everyone who is not strong is not quiet. Everyone who is not tall is either not kind or not strong and vice versa. If someone is not wise or not rich then mary is not patient or quiet and vice versa. Everyone who is tall or not generous is both not tall... | Lucy is not wise. | entailment | (((quiet(fred)&~brave(fred)))=>((brave(alice)|strong(alice))))&
(![X]:(~strong(X)=>~quiet(X)))&
(![X]:(~tall(X)<=>(~kind(X)<~>~strong(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~patient(mary)|quiet(mary))))&
(![X]:((tall(X)|~generous(X))<=>(~tall(X)&~rich(X))))&
((?[X]:((~humble(X)|curious(X))))<=>(?[X]:((creative(X)&~ri... | ~wise(lucy) | [
"p4",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5398782989397323636774173
% SZS output start Proof for 5398782989397323636774173
5. ! [X0] : ((~generous(X0) | tall(X0)) <=> (~rich(X0) & ~tall(X0))) [input p4]
10. ! [X0] : ((~funny(X0) | ~patient(X0)) <=> (~patient(X0) <~> generous(X0))) [input p9]
11. ~patient(susan) => (old(lucy) & ~r... | 0 |
Everyone who is not strong is quiet. Everyone who is either not patient or calm is not patient and vice versa. If someone is not kind then paul is both funny and curious. If someone is strong or not brave then alice is not funny or not humble. Everyone who is both old and not old is not creative or not wise and vice ve... | Fred is not humble. | entailment | (![X]:(~strong(X)=>quiet(X)))&
(![X]:((~patient(X)<~>calm(X))<=>~patient(X)))&
((?[X]:(~kind(X)))=>((funny(paul)&curious(paul))))&
((?[X]:((strong(X)|~brave(X))))=>((~funny(alice)|~humble(alice))))&
(![X]:((old(X)&~old(X))<=>(~creative(X)|~wise(X))))&
((generous(alice))<=>((strong(paul)&old(paul))))&
(![X]:(~funny(X)<=... | ~humble(fred) | [
"p2",
"p6",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3888194093324718802727721
% SZS output start Proof for 3888194093324718802727721
3. ? [X0] : ~kind(X0) => (curious(paul) & funny(paul)) [input p2]
7. ! [X0] : (~funny(X0) <=> ~old(X0)) [input p6]
8. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> (~patient(X0) | strong(X0))) [input p7]
9. ! [X... | 0 |
If someone is not happy then mary is not strong. Everyone who is either not rich or not kind is old. Everyone who is not old is not calm and vice versa. Everyone who is either not creative or brave is either tall or not strong and vice versa. Everyone who is tall is not quiet. Everyone who is either wise or not creativ... | John is not creative. | contradiction | ((?[X]:(~happy(X)))=>(~strong(mary)))&
(![X]:((~rich(X)<~>~kind(X))=>old(X)))&
(![X]:(~old(X)<=>~calm(X)))&
(![X]:((~creative(X)<~>brave(X))<=>(tall(X)<~>~strong(X))))&
(![X]:(tall(X)=>~quiet(X)))&
(![X]:((wise(X)<~>~creative(X))<=>(kind(X)|funny(X))))&
(![X]:((~patient(X)|tall(X))=>(~rich(X)&patient(X))))&
((?[X]:((cr... | ~creative(john) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6930542458337389076537822
% SZS output start Proof for 6930542458337389076537822
7. ! [X0] : ((tall(X0) | ~patient(X0)) => (patient(X0) & ~rich(X0))) [input p6]
14. ! [X0] : ((creative(X0) & funny(X0)) <=> patient(X0)) [input p13]
24. ~creative(john) [input hypothesis]
35. ! [X0] : ((pati... | 0 |
If someone is curious or not happy then someone is not generous or funny.
If fred is both strong and not humble then john is not funny.
Everyone who is both calm and not curious is not wise or not creative.
Everyone who is both curious and old is quiet or rich and vice versa.
Everyone who is not wise or not rich is eit... | John is not funny. | neutral | ((?[X]:((curious(X)|~happy(X))))=>(?[X]:((~generous(X)|funny(X)))))&
(((strong(fred)&~humble(fred)))=>(~funny(john)))&
(![X]:((calm(X)&~curious(X))=>(~wise(X)|~creative(X))))&
(![X]:((curious(X)&old(X))<=>(quiet(X)|rich(X))))&
(![X]:((~wise(X)|~rich(X))<=>(~generous(X)<~>~funny(X))))&
(((calm(susan)<~>brave(susan)))<=>... | ~funny(john) | [] | null | 0 |
If john is funny then lucy is either not strong or funny. Everyone who is not generous is both calm and not brave and vice versa. Everyone who is funny or strong is not generous or calm. If someone is both not funny and not creative then john is both generous and not generous. Everyone who is both kind and humble is bo... | Alice is generous. | entailment | ((funny(john))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:(~generous(X)<=>(calm(X)&~brave(X))))&
(![X]:((funny(X)|strong(X))=>(~generous(X)|calm(X))))&
((?[X]:((~funny(X)&~creative(X))))=>((generous(john)&~generous(john))))&
(![X]:((kind(X)&humble(X))<=>(wise(X)&~creative(X))))&
(![X]:(~calm(X)<=>(funny(X)|~brave(X))))&
... | generous(alice) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5463708865629199643292546
% SZS output start Proof for 5463708865629199643292546
2. ! [X0] : (~generous(X0) <=> (~brave(X0) & calm(X0))) [input p1]
6. ! [X0] : (~calm(X0) <=> (~brave(X0) | funny(X0))) [input p5]
22. ~generous(alice) [input hypothesis]
37. ! [X0] : ((~generous(X0) | (brave... | 0 |
If alice is happy then someone is not generous or rich and vice versa.
Everyone who is both happy and not humble is not wise and vice versa.
Everyone who is either not kind or not old is patient or calm and vice versa.
Everyone who is not funny or not calm is both not kind and not patient and vice versa.
If someone is ... | Alice is brave. | contradiction | ((happy(alice))<=>(?[X]:((~generous(X)|rich(X)))))&
(![X]:((happy(X)&~humble(X))<=>~wise(X)))&
(![X]:((~kind(X)<~>~old(X))<=>(patient(X)|calm(X))))&
(![X]:((~funny(X)|~calm(X))<=>(~kind(X)&~patient(X))))&
((?[X]:((wise(X)&~wise(X))))<=>((kind(john)|~calm(john))))&
((~creative(paul))=>((quiet(mary)|wise(mary))))&
(![X]:... | brave(alice) | [
"p0",
"p1",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4577204236519299475635908
% SZS output start Proof for 4577204236519299475635908
1. happy(alice) <=> ? [X0] : (rich(X0) | ~generous(X0)) [input p0]
2. ! [X0] : ((~humble(X0) & happy(X0)) <=> ~wise(X0)) [input p1]
7. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~brave(X0) & ~creative(X0))) [in... | 0 |
Everyone who is generous or kind is both not strong and not brave. If someone is creative or not calm then lucy is rich or calm and vice versa. If someone is strong then alice is either generous or not calm. If someone is not tall then someone is either not brave or quiet. If fred is either tall or humble then lucy is ... | Mary is humble. | entailment | (![X]:((generous(X)|kind(X))=>(~strong(X)&~brave(X))))&
((?[X]:((creative(X)|~calm(X))))<=>((rich(lucy)|calm(lucy))))&
((?[X]:(strong(X)))=>((generous(alice)<~>~calm(alice))))&
((?[X]:(~tall(X)))=>(?[X]:((~brave(X)<~>quiet(X)))))&
(((tall(fred)<~>humble(fred)))=>((~funny(lucy)<~>kind(lucy))))&
(![X]:((old(X)<~>~generou... | humble(mary) | [
"p0",
"p7",
"p10",
"p13",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1015779004088602693786344
% SZS output start Proof for 1015779004088602693786344
1. ! [X0] : ((kind(X0) | generous(X0)) => (~brave(X0) & ~strong(X0))) [input p0]
8. ! [X0] : ((rich(X0) | ~curious(X0)) => (funny(X0) <~> happy(X0))) [input p7]
11. ! [X0] : (~happy(X0) => (calm(X0) & generou... | 0 |
If fred is strong or not funny then someone is either not kind or quiet.
If john is either not patient or quiet then john is funny.
Everyone who is both not wise and quiet is old or not patient.
Everyone who is humble is either not creative or not rich and vice versa.
Everyone who is both rich and not patient is both n... | Susan is creative. | contradiction | (((strong(fred)|~funny(fred)))=>(?[X]:((~kind(X)<~>quiet(X)))))&
(((~patient(john)<~>quiet(john)))=>(funny(john)))&
(![X]:((~wise(X)&quiet(X))=>(old(X)|~patient(X))))&
(![X]:(humble(X)<=>(~creative(X)<~>~rich(X))))&
(![X]:((rich(X)&~patient(X))<=>(~happy(X)&wise(X))))&
(![X]:((~old(X)<~>~humble(X))<=>~wise(X)))&
(((~pa... | creative(susan) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1990974034064417751829971
% SZS output start Proof for 1990974034064417751829971
12. ! [X0] : ((~creative(X0) <~> ~wise(X0)) => funny(X0)) [input p11]
20. ~wise(susan) & ~funny(susan) [input p19]
24. creative(susan) [input hypothesis]
33. ! [X0] : (funny(X0) | (~creative(X0) <=> ~wise(X0)... | 0 |
Everyone who is not patient or brave is quiet or rich and vice versa. Everyone who is both not patient and curious is kind. If lucy is old then lucy is both rich and not kind. Everyone who is both not rich and tall is both not generous and calm and vice versa. If someone is either strong or rich then someone is either ... | Susan is not wise. | entailment | (![X]:((~patient(X)|brave(X))<=>(quiet(X)|rich(X))))&
(![X]:((~patient(X)&curious(X))=>kind(X)))&
((old(lucy))=>((rich(lucy)&~kind(lucy))))&
(![X]:((~rich(X)&tall(X))<=>(~generous(X)&calm(X))))&
((?[X]:((strong(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((~wise(X)&brave(X))))=>((rich(susan)|patient(su... | ~wise(susan) | [
"p3",
"p6",
"p8",
"p9",
"p11",
"p14",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8607282636829236501868546
% SZS output start Proof for 8607282636829236501868546
4. ! [X0] : ((tall(X0) & ~rich(X0)) <=> (calm(X0) & ~generous(X0))) [input p3]
7. ! [X0] : ((~funny(X0) & ~happy(X0)) <=> (~tall(X0) <~> ~wise(X0))) [input p6]
9. ! [X0] : ((rich(X0) <~> ~funny(X0)) <=> (~qui... | 0 |
If mary is quiet or not creative then someone is not calm and vice versa.
If someone is both not kind and calm then someone is either not patient or not brave.
If someone is either not humble or strong then susan is not brave and vice versa.
If lucy is not patient or not tall then someone is quiet or not creative.
Ever... | Lucy is tall. | entailment | (((quiet(mary)|~creative(mary)))<=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)&calm(X))))=>(?[X]:((~patient(X)<~>~brave(X)))))&
((?[X]:((~humble(X)<~>strong(X))))<=>(~brave(susan)))&
(((~patient(lucy)|~tall(lucy)))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:((~wise(X)&funny(X))<=>(happy(X)<~>~humble(X))))&
(![X]:((humble(X)<~... | tall(lucy) | [
"p4",
"p5",
"p8",
"p10",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 336927846959830304630028
% SZS output start Proof for 336927846959830304630028
5. ! [X0] : ((funny(X0) & ~wise(X0)) <=> (happy(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : ((humble(X0) <~> brave(X0)) <=> (rich(X0) <~> curious(X0))) [input p5]
9. ! [X0] : ((~brave(X0) <~> tall(X0)) <=> (~h... | 0 |
If fred is both not humble and not happy then mary is both tall and not creative. Everyone who is not calm is not curious or tall and vice versa. Everyone who is either not brave or wise is either funny or brave. Everyone who is both not generous and rich is not calm. Everyone who is not curious is old or not quiet. If... | Paul is generous. | contradiction | (((~humble(fred)&~happy(fred)))=>((tall(mary)&~creative(mary))))&
(![X]:(~calm(X)<=>(~curious(X)|tall(X))))&
(![X]:((~brave(X)<~>wise(X))=>(funny(X)<~>brave(X))))&
(![X]:((~generous(X)&rich(X))=>~calm(X)))&
(![X]:(~curious(X)=>(old(X)|~quiet(X))))&
((?[X]:((~old(X)|~quiet(X))))<=>((~happy(paul)&~generous(paul))))&
((?[... | generous(paul) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4766896702466613818348208
% SZS output start Proof for 4766896702466613818348208
6. ? [X0] : (~quiet(X0) | ~old(X0)) <=> (~generous(paul) & ~happy(paul)) [input p5]
23. ~quiet(paul) & strong(paul) [input p22]
25. generous(paul) [input hypothesis]
48. (? [X0] : (~quiet(X0) | ~old(X0)) | (g... | 0 |
If someone is either patient or brave then alice is funny or not tall.
Everyone who is either not rich or not creative is both not humble and not calm and vice versa.
Everyone who is both not tall and brave is generous or not tall and vice versa.
Everyone who is both not creative and not humble is either patient or bra... | Susan is patient. | entailment | ((?[X]:((patient(X)<~>brave(X))))=>((funny(alice)|~tall(alice))))&
(![X]:((~rich(X)<~>~creative(X))<=>(~humble(X)&~calm(X))))&
(![X]:((~tall(X)&brave(X))<=>(generous(X)|~tall(X))))&
(![X]:((~creative(X)&~humble(X))<=>(patient(X)<~>brave(X))))&
((generous(john))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~strong(X)|~ta... | patient(susan) | [
"p4",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4777425574283204334517498
% SZS output start Proof for 4777425574283204334517498
5. generous(john) <=> ? [X0] : (patient(X0) <~> rich(X0)) [input p4]
7. ! [X0] : ((~kind(X0) & rich(X0)) <=> (~generous(X0) | generous(X0))) [input p6]
8. ! [X0] : ((strong(X0) | generous(X0)) <=> ~old(X0)) [... | 0 |
Everyone who is either not curious or wise is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind and not curious and vice versa. If john is either not quiet or not happy then fred is both not strong and not wise. Everyone who is both curious and not humble is either bra... | Alice is happy. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humble(X))=>(brave(X)<~>happy(X))))&
(![X]:(kind(X)<=>(kind(X)<~>~happy(X))))&
((?[X]:((funny(X)&happy(X))))=>(creativ... | happy(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6391812373465918900532557
% SZS output start Proof for 6391812373465918900532557
5. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p4]
23. ~happy(alice) [input hypothesis]
40. ! [X0] : ((kind(X0) | ((kind(X0) | happy(X0)) & (~happy(X0) | ~kind(X0)))) & (((happy(X0) | ~kind(X0)) ... | 0 |
Everyone who is not strong or not creative is both not humble and wise.
Everyone who is old or curious is not generous or not patient and vice versa.
If someone is not tall or rich then lucy is not brave and vice versa.
Everyone who is strong is both humble and not happy and vice versa.
If someone is generous then alic... | Susan is not quiet. | neutral | (![X]:((~strong(X)|~creative(X))=>(~humble(X)&wise(X))))&
(![X]:((old(X)|curious(X))<=>(~generous(X)|~patient(X))))&
((?[X]:((~tall(X)|rich(X))))<=>(~brave(lucy)))&
(![X]:(strong(X)<=>(humble(X)&~happy(X))))&
((?[X]:(generous(X)))<=>((rich(alice)&generous(alice))))&
(![X]:((strong(X)<~>~old(X))=>(~old(X)&~funny(X))))&
... | ~quiet(susan) | [] | null | 0 |
If fred is either strong or not kind then someone is both funny and not happy.
If paul is not old then susan is not patient or rich and vice versa.
Everyone who is not happy is not happy or humble and vice versa.
If mary is both kind and funny then someone is funny or not creative and vice versa.
Everyone who is humble... | Mary is quiet. | neutral | (((strong(fred)<~>~kind(fred)))=>(?[X]:((funny(X)&~happy(X)))))&
((~old(paul))<=>((~patient(susan)|rich(susan))))&
(![X]:(~happy(X)<=>(~happy(X)|humble(X))))&
(((kind(mary)&funny(mary)))<=>(?[X]:((funny(X)|~creative(X)))))&
(![X]:((humble(X)|~rich(X))<=>~creative(X)))&
(![X]:((~rich(X)<~>strong(X))=>(~brave(X)<~>~tall(... | quiet(mary) | [] | null | 0 |
Everyone who is not tall is either tall or creative and vice versa.
Everyone who is both kind and calm is both humble and not calm.
Everyone who is patient or not kind is creative and vice versa.
If someone is either not calm or wise then john is patient.
Everyone who is not quiet is not calm or brave.
If john is not c... | Paul is not strong. | contradiction | (![X]:(~tall(X)<=>(tall(X)<~>creative(X))))&
(![X]:((kind(X)&calm(X))=>(humble(X)&~calm(X))))&
(![X]:((patient(X)|~kind(X))<=>creative(X)))&
((?[X]:((~calm(X)<~>wise(X))))=>(patient(john)))&
(![X]:(~quiet(X)=>(~calm(X)|brave(X))))&
((~calm(john))<=>(~patient(paul)))&
((?[X]:(~rich(X)))<=>((~generous(lucy)|old(lucy))))&... | ~strong(paul) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 470536125925522002798055
% SZS output start Proof for 470536125925522002798055
1. ! [X0] : (~tall(X0) <=> (tall(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((calm(X0) & kind(X0)) => (~calm(X0) & humble(X0))) [input p1]
3. ! [X0] : ((~kind(X0) | patient(X0)) <=> creative(X0)) [input p2]
... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.