premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not old or not kind then someone is not generous. Everyone who is either not strong or creative is either not wise or funny. Everyone who is either not rich or generous is happy or not old. Everyone who is both tall and not brave is generous and vice versa. If mary is both curious and old then someone is ... | Lucy is creative. | contradiction | ((?[X]:((~old(X)|~kind(X))))=>(?[X]:(~generous(X))))&
(![X]:((~strong(X)<~>creative(X))=>(~wise(X)<~>funny(X))))&
(![X]:((~rich(X)<~>generous(X))=>(happy(X)|~old(X))))&
(![X]:((tall(X)&~brave(X))<=>generous(X)))&
(((curious(mary)&old(mary)))=>(?[X]:((~brave(X)|kind(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(creative(X))))&
(!... | creative(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8811485112314348144936168
% SZS output start Proof for 8811485112314348144936168
2. ! [X0] : ((~strong(X0) <~> creative(X0)) => (~wise(X0) <~> funny(X0))) [input p1]
4. ! [X0] : ((~brave(X0) & tall(X0)) <=> generous(X0)) [input p3]
6. ? [X0] : ~calm(X0) <=> ? [X0] : creative(X0) [input p5... | 0 |
If john is creative or rich then someone is either not tall or not wise and vice versa.
Everyone who is either happy or old is either quiet or wise and vice versa.
Everyone who is both not patient and not brave is not calm.
Everyone who is rich or curious is both not quiet and kind and vice versa.
If someone is not qui... | Lucy is brave. | contradiction | (((creative(john)|rich(john)))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>old(X))<=>(quiet(X)<~>wise(X))))&
(![X]:((~patient(X)&~brave(X))=>~calm(X)))&
(![X]:((rich(X)|curious(X))<=>(~quiet(X)&kind(X))))&
((?[X]:(~quiet(X)))<=>(wise(mary)))&
((?[X]:(old(X)))<=>(?[X]:((~brave(X)&~quiet(X)))))&
(![X]:((brave(X... | brave(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8522538984806230350117639
% SZS output start Proof for 8522538984806230350117639
7. ! [X0] : ((~rich(X0) | brave(X0)) => ~brave(X0)) [input p6]
25. brave(lucy) [input hypothesis]
33. ! [X0] : (~brave(X0) | (rich(X0) & ~brave(X0))) [ennf transformation 7]
108. ~brave(X0) | ~brave(X0) [cnf ... | 0 |
If fred is not humble or rich then alice is either wise or not kind and vice versa. Everyone who is either not curious or curious is both not happy and curious and vice versa. Everyone who is generous or kind is both strong and not curious. Everyone who is humble is either rich or not humble. If someone is either not c... | Paul is wise. | contradiction | (((~humble(fred)|rich(fred)))<=>((wise(alice)<~>~kind(alice))))&
(![X]:((~curious(X)<~>curious(X))<=>(~happy(X)&curious(X))))&
(![X]:((generous(X)|kind(X))=>(strong(X)&~curious(X))))&
(![X]:(humble(X)=>(rich(X)<~>~humble(X))))&
((?[X]:((~curious(X)<~>~old(X))))=>(?[X]:(~patient(X))))&
(![X]:(~brave(X)=>(tall(X)<~>curio... | wise(paul) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1715005989959675234318618
% SZS output start Proof for 1715005989959675234318618
2. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> (curious(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((kind(X0) | generous(X0)) => (~curious(X0) & strong(X0))) [input p2]
6. ! [X0] : (~brave(X0) => (tall(X0) <~... | 0 |
Everyone who is curious or not kind is not curious. Everyone who is not humble or humble is creative or not quiet and vice versa. Everyone who is either calm or not tall is both wise and kind. Everyone who is old or patient is either curious or quiet and vice versa. If fred is both rich and not generous then someone is... | Lucy is not quiet. | entailment | (![X]:((curious(X)|~kind(X))=>~curious(X)))&
(![X]:((~humble(X)|humble(X))<=>(creative(X)|~quiet(X))))&
(![X]:((calm(X)<~>~tall(X))=>(wise(X)&kind(X))))&
(![X]:((old(X)|patient(X))<=>(curious(X)<~>quiet(X))))&
(((rich(fred)&~generous(fred)))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:(~patient(X)<=>(creative(X)&~rich(X))))&... | ~quiet(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8161771501211043755645845
% SZS output start Proof for 8161771501211043755645845
1. ! [X0] : ((~kind(X0) | curious(X0)) => ~curious(X0)) [input p0]
2. ! [X0] : ((humble(X0) | ~humble(X0)) <=> (~quiet(X0) | creative(X0))) [input p1]
4. ! [X0] : ((patient(X0) | old(X0)) <=> (curious(X0) <~>... | 0 |
Everyone who is not happy or generous is rich and vice versa.
Everyone who is brave is not patient and vice versa.
Everyone who is rich or brave is both funny and brave and vice versa.
Everyone who is both not happy and wise is tall.
If someone is both not curious and not patient then paul is not rich.
Everyone who is ... | Paul is not generous. | entailment | (![X]:((~happy(X)|generous(X))<=>rich(X)))&
(![X]:(brave(X)<=>~patient(X)))&
(![X]:((rich(X)|brave(X))<=>(funny(X)&brave(X))))&
(![X]:((~happy(X)&wise(X))=>tall(X)))&
((?[X]:((~curious(X)&~patient(X))))=>(~rich(paul)))&
(![X]:((kind(X)<~>~funny(X))=>creative(X)))&
(![X]:((happy(X)|funny(X))=>(~old(X)<~>humble(X))))&
((... | ~generous(paul) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p9",
"p11",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6520696883019505668246149
% SZS output start Proof for 6520696883019505668246149
1. ! [X0] : ((generous(X0) | ~happy(X0)) <=> rich(X0)) [input p0]
2. ! [X0] : (brave(X0) <=> ~patient(X0)) [input p1]
3. ! [X0] : ((brave(X0) | rich(X0)) <=> (brave(X0) & funny(X0))) [input p2]
5. ? [X0] : (~... | 0 |
Everyone who is not tall is both not brave and tall and vice versa.
If fred is either brave or not patient then someone is brave or not patient.
Everyone who is brave or not kind is not patient and vice versa.
Everyone who is either not generous or not curious is not tall or not strong.
If someone is not brave or patie... | Susan is patient. | contradiction | (![X]:(~tall(X)<=>(~brave(X)&tall(X))))&
(((brave(fred)<~>~patient(fred)))=>(?[X]:((brave(X)|~patient(X)))))&
(![X]:((brave(X)|~kind(X))<=>~patient(X)))&
(![X]:((~generous(X)<~>~curious(X))=>(~tall(X)|~strong(X))))&
((?[X]:((~brave(X)|patient(X))))=>(?[X]:((~rich(X)|~generous(X)))))&
((?[X]:((brave(X)<~>~kind(X))))<=>(... | patient(susan) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 699067719922958331743482
% SZS output start Proof for 699067719922958331743482
1. ! [X0] : (~tall(X0) <=> (tall(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | brave(X0)) <=> ~patient(X0)) [input p2]
24. patient(susan) [input hypothesis]
36. ! [X0] : ((~tall(X0) | (~tall(X0) | bra... | 0 |
If someone is either brave or not curious then someone is strong or curious.
If lucy is both not curious and generous then alice is strong or rich and vice versa.
Everyone who is either wise or not strong is either calm or not calm.
If lucy is humble or not wise then susan is not funny or strong.
Everyone who is either... | Fred is kind. | neutral | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((~curious(lucy)&generous(lucy)))<=>((strong(alice)|rich(alice))))&
(![X]:((wise(X)<~>~strong(X))=>(calm(X)<~>~calm(X))))&
(((humble(lucy)|~wise(lucy)))=>((~funny(susan)|strong(susan))))&
(![X]:((~tall(X)<~>curious(X))=>~tall(X)))&
((generous(susan)... | kind(fred) | [] | null | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Mary is curious. | contradiction | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | curious(mary) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1772189592979946513105177
% SZS output start Proof for 1772189592979946513105177
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
2. ? [X0] : tall(X0) <=> ~rich(lucy) [input p1]
5. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~curious(lucy)) [... | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Alice is creative. | contradiction | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | creative(alice) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8074944694706962301727010
% SZS output start Proof for 8074944694706962301727010
2. ! [X0] : (~creative(X0) <=> generous(X0)) [input p1]
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p4]
9. ! [X0] : (~... | 0 |
If someone is old or not brave then susan is both not funny and wise and vice versa. If someone is calm or rich then alice is either rich or not patient. If someone is quiet or tall then paul is not curious. If someone is strong then mary is both not old and not kind and vice versa. Everyone who is rich or old is both ... | Susan is patient. | contradiction | ((?[X]:((old(X)|~brave(X))))<=>((~funny(susan)&wise(susan))))&
((?[X]:((calm(X)|rich(X))))=>((rich(alice)<~>~patient(alice))))&
((?[X]:((quiet(X)|tall(X))))=>(~curious(paul)))&
((?[X]:(strong(X)))<=>((~old(mary)&~kind(mary))))&
(![X]:((rich(X)|old(X))<=>(curious(X)&tall(X))))&
((~patient(paul))<=>(?[X]:((humble(X)|~pat... | patient(susan) | [
"p0",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4658353857849714183599537
% SZS output start Proof for 4658353857849714183599537
1. ? [X0] : (~brave(X0) | old(X0)) <=> (wise(susan) & ~funny(susan)) [input p0]
19. ~wise(susan) & ~kind(susan) [input p18]
22. brave(susan) <~> patient(susan) [input p21]
25. patient(susan) [input hypothesis... | 0 |
If someone is not patient then susan is both not tall and not generous. Everyone who is generous is both creative and old. If someone is either tall or not happy then someone is not strong or kind. Everyone who is not quiet or not brave is both not patient and not strong and vice versa. Everyone who is not tall or not ... | Lucy is generous. | entailment | ((?[X]:(~patient(X)))=>((~tall(susan)&~generous(susan))))&
(![X]:(generous(X)=>(creative(X)&old(X))))&
((?[X]:((tall(X)<~>~happy(X))))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~tall(X)|~strong(X))=>(calm(X)<~>generous(X))))&
(![X]:((~brave(X)&~funny(X))<=>happy... | generous(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8073256461925992391212744
% SZS output start Proof for 8073256461925992391212744
15. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> curious(X0)) [input p14]
22. ~generous(lucy) [input hypothesis]
63. ! [X0] : ((((curious(X0) | ~generous(X0)) & (~curious(X0) | generous(X0))) | ~curious(X0))... | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa.
If john is both not wise and tall then someone is not kind or patient and vice versa.
Everyone who is brave is not wise.
Everyone who is brave is both not generous and not happy.
If someone is not patient then someone is humble or c... | John is not wise. | entailment | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
(((~wise(john)&tall(john)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(brave(X)=>~wise(X)))&
(![X]:(brave(X)=>(~generous(X)&~happy(X))))&
((?[X]:(~patient(X)))=>(?[X]:((humble(X)|curious(X)))))&
(![X]:(~quiet(X)=>tall(X)))&
(((~strong(paul)<~>quiet(... | ~wise(john) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6753537043080992395472390
% SZS output start Proof for 6753537043080992395472390
2. (tall(john) & ~wise(john)) <=> ? [X0] : (patient(X0) | ~kind(X0)) [input p1]
22. ? [X0] : patient(X0) [input p21]
25. wise(john) [input hypothesis]
47. ((tall(john) & ~wise(john)) | ! [X0] : (~patient(X0) ... | 0 |
Everyone who is not strong is kind. Everyone who is both not old and not brave is both not quiet and not kind. Everyone who is either not rich or tall is both not rich and not creative. Everyone who is not funny or not happy is not wise. If someone is not old or not creative then someone is not creative or not curious.... | Fred is calm. | entailment | (![X]:(~strong(X)=>kind(X)))&
(![X]:((~old(X)&~brave(X))=>(~quiet(X)&~kind(X))))&
(![X]:((~rich(X)<~>tall(X))=>(~rich(X)&~creative(X))))&
(![X]:((~funny(X)|~happy(X))=>~wise(X)))&
((?[X]:((~old(X)|~creative(X))))=>(?[X]:((~creative(X)|~curious(X)))))&
(![X]:((calm(X)|~curious(X))=>(funny(X)<~>tall(X))))&
((?[X]:((~wise... | calm(fred) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4292944421189182821201190
% SZS output start Proof for 4292944421189182821201190
7. ? [X0] : (~calm(X0) | ~wise(X0)) => ? [X0] : (~old(X0) & ~tall(X0)) [input p6]
10. ! [X0] : ((~funny(X0) | ~old(X0)) => (~humble(X0) & tall(X0))) [input p9]
25. ~calm(fred) [input hypothesis]
27. ? [X0] : ... | 0 |
If john is either brave or funny then john is tall and vice versa.
Everyone who is happy or patient is either not patient or not kind.
If susan is curious or old then someone is not quiet and vice versa.
Everyone who is not creative or not old is creative or humble and vice versa.
Everyone who is not old or not funny i... | John is rich. | neutral | (((brave(john)<~>funny(john)))<=>(tall(john)))&
(![X]:((happy(X)|patient(X))=>(~patient(X)<~>~kind(X))))&
(((curious(susan)|old(susan)))<=>(?[X]:(~quiet(X))))&
(![X]:((~creative(X)|~old(X))<=>(creative(X)|humble(X))))&
(![X]:((~old(X)|~funny(X))<=>(~patient(X)&rich(X))))&
((quiet(john))<=>(?[X]:((strong(X)&humble(X))))... | rich(john) | [] | null | 0 |
Everyone who is patient or not tall is brave.
Everyone who is not tall or not kind is either not strong or not calm.
Everyone who is strong or brave is both not strong and creative.
If john is not kind or tall then john is both not brave and generous.
Everyone who is both not generous and wise is not calm and vice vers... | Paul is wise. | contradiction | (![X]:((patient(X)|~tall(X))=>brave(X)))&
(![X]:((~tall(X)|~kind(X))=>(~strong(X)<~>~calm(X))))&
(![X]:((strong(X)|brave(X))=>(~strong(X)&creative(X))))&
(((~kind(john)|tall(john)))=>((~brave(john)&generous(john))))&
(![X]:((~generous(X)&wise(X))<=>~calm(X)))&
((?[X]:((humble(X)&rich(X))))<=>(~old(john)))&
(((funny(mar... | wise(paul) | [
"p1",
"p2",
"p4",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 456927108070247390658332
% SZS output start Proof for 456927108070247390658332
2. ! [X0] : ((~kind(X0) | ~tall(X0)) => (~strong(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((brave(X0) | strong(X0)) => (creative(X0) & ~strong(X0))) [input p2]
5. ! [X0] : ((wise(X0) & ~generous(X0)) <=> ~cal... | 0 |
Everyone who is either kind or brave is not old or strong. If someone is not quiet then someone is both not old and generous. If lucy is either not generous or not humble then mary is rich or not brave and vice versa. If someone is curious then fred is not wise and vice versa. If someone is either not tall or not creat... | Fred is not wise. | neutral | (![X]:((kind(X)<~>brave(X))=>(~old(X)|strong(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~old(X)&generous(X)))))&
(((~generous(lucy)<~>~humble(lucy)))<=>((rich(mary)|~brave(mary))))&
((?[X]:(curious(X)))<=>(~wise(fred)))&
((?[X]:((~tall(X)<~>~creative(X))))<=>((patient(lucy)<~>~happy(lucy))))&
(((~old(paul)<~>~creative(paul)))... | ~wise(fred) | [] | null | 0 |
Everyone who is either not tall or patient is quiet. If mary is either rich or not generous then john is both not strong and rich and vice versa. Everyone who is patient or strong is either not patient or not old and vice versa. Everyone who is either not happy or humble is not generous or generous. Everyone who is cre... | Mary is brave. | contradiction | (![X]:((~tall(X)<~>patient(X))=>quiet(X)))&
(((rich(mary)<~>~generous(mary)))<=>((~strong(john)&rich(john))))&
(![X]:((patient(X)|strong(X))<=>(~patient(X)<~>~old(X))))&
(![X]:((~happy(X)<~>humble(X))=>(~generous(X)|generous(X))))&
(![X]:(creative(X)<=>~rich(X)))&
(![X]:((strong(X)<~>~tall(X))<=>tall(X)))&
(((generous(... | brave(mary) | [
"p2",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5279996401263941912508812
% SZS output start Proof for 5279996401263941912508812
3. ! [X0] : ((strong(X0) | patient(X0)) <=> (~patient(X0) <~> ~old(X0))) [input p2]
6. ! [X0] : ((strong(X0) <~> ~tall(X0)) <=> tall(X0)) [input p5]
8. ! [X0] : ((~patient(X0) | calm(X0)) <=> (~old(X0) | ~qui... | 0 |
If alice is not curious or not rich then someone is funny or quiet.
Everyone who is either not happy or not tall is either calm or not patient and vice versa.
Everyone who is both not creative and not quiet is tall or not strong and vice versa.
Everyone who is both wise and not creative is rich or patient.
If someone i... | Paul is not creative. | neutral | (((~curious(alice)|~rich(alice)))=>(?[X]:((funny(X)|quiet(X)))))&
(![X]:((~happy(X)<~>~tall(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(tall(X)|~strong(X))))&
(![X]:((wise(X)&~creative(X))=>(rich(X)|patient(X))))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&generous... | ~creative(paul) | [] | null | 0 |
Everyone who is funny is both not old and funny and vice versa.
If someone is either not tall or not old then paul is funny and vice versa.
Everyone who is both tall and funny is not tall or not curious and vice versa.
If someone is both patient and funny then paul is either humble or not curious and vice versa.
If luc... | Alice is funny. | contradiction | (![X]:(funny(X)<=>(~old(X)&funny(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>(funny(paul)))&
(![X]:((tall(X)&funny(X))<=>(~tall(X)|~curious(X))))&
((?[X]:((patient(X)&funny(X))))<=>((humble(paul)<~>~curious(paul))))&
((~creative(lucy))<=>((~rich(mary)&tall(mary))))&
(![X]:((strong(X)&~kind(X))<=>(kind(X)|tall(X))))&
(![X]:... | funny(alice) | [
"p2",
"p5",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5561474871774038299699812
% SZS output start Proof for 5561474871774038299699812
3. ! [X0] : ((funny(X0) & tall(X0)) <=> (~curious(X0) | ~tall(X0))) [input p2]
6. ! [X0] : ((~kind(X0) & strong(X0)) <=> (tall(X0) | kind(X0))) [input p5]
10. ! [X0] : ((calm(X0) <~> ~funny(X0)) => (~funny(X0... | 0 |
If someone is both not kind and humble then paul is either not curious or funny.
If someone is not humble or not happy then someone is happy or not quiet and vice versa.
Everyone who is patient is both not tall and not strong.
If someone is not tall then someone is both strong and not brave.
If someone is generous then... | John is not kind. | entailment | ((?[X]:((~kind(X)&humble(X))))=>((~curious(paul)<~>funny(paul))))&
((?[X]:((~humble(X)|~happy(X))))<=>(?[X]:((happy(X)|~quiet(X)))))&
(![X]:(patient(X)=>(~tall(X)&~strong(X))))&
((?[X]:(~tall(X)))=>(?[X]:((strong(X)&~brave(X)))))&
((?[X]:(generous(X)))=>((curious(lucy)<~>creative(lucy))))&
(![X]:((~kind(X)&~tall(X))<=>... | ~kind(john) | [
"p2",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8881978818100231542168491
% SZS output start Proof for 8881978818100231542168491
3. ! [X0] : (patient(X0) => (~strong(X0) & ~tall(X0))) [input p2]
6. ! [X0] : ((~tall(X0) & ~kind(X0)) <=> (old(X0) | ~calm(X0))) [input p5]
9. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~patient(X0) <~> ~calm(X0)... | 0 |
If susan is not tall then someone is both strong and not wise and vice versa.
Everyone who is not quiet or wise is curious and vice versa.
If someone is both kind and not wise then someone is strong or not patient.
If susan is either patient or funny then someone is both wise and not strong and vice versa.
Everyone who... | Paul is brave. | contradiction | ((~tall(susan))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:((~quiet(X)|wise(X))<=>curious(X)))&
((?[X]:((kind(X)&~wise(X))))=>(?[X]:((strong(X)|~patient(X)))))&
(((patient(susan)<~>funny(susan)))<=>(?[X]:((wise(X)&~strong(X)))))&
(![X]:((generous(X)<~>curious(X))<=>(kind(X)&~generous(X))))&
((?[X]:((calm(X)<~>brave(X))))<... | brave(paul) | [
"p4",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7452252181275103858967910
% SZS output start Proof for 7452252181275103858967910
5. ! [X0] : ((generous(X0) <~> curious(X0)) <=> (~generous(X0) & kind(X0))) [input p4]
8. ! [X0] : (curious(X0) <=> (rich(X0) & funny(X0))) [input p7]
12. ! [X0] : ((kind(X0) <~> brave(X0)) <=> (~brave(X0) & ... | 0 |
If someone is not creative or not generous then mary is generous and vice versa.
Everyone who is both creative and humble is either not wise or not humble and vice versa.
Everyone who is either quiet or funny is either curious or not kind.
If someone is either humble or not old then someone is either tall or not patien... | Susan is not brave. | contradiction | ((?[X]:((~creative(X)|~generous(X))))<=>(generous(mary)))&
(![X]:((creative(X)&humble(X))<=>(~wise(X)<~>~humble(X))))&
(![X]:((quiet(X)<~>funny(X))=>(curious(X)<~>~kind(X))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((tall(X)<~>~patient(X)))))&
((?[X]:((~kind(X)|~brave(X))))=>(?[X]:((brave(X)&~kind(X)))))&
((?[X]:((tall... | ~brave(susan) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7824670026837779850581913
% SZS output start Proof for 7824670026837779850581913
11. ! [X0] : ((~calm(X0) & ~old(X0)) <=> calm(X0)) [input p10]
15. ! [X0] : (old(X0) <=> (brave(X0) & funny(X0))) [input p14]
24. ~brave(susan) [input hypothesis]
66. ! [X0] : (((~calm(X0) & ~old(X0)) | ~calm... | 0 |
Everyone who is not funny or calm is funny.
Everyone who is not happy or happy is both not tall and creative.
Everyone who is either rich or not wise is calm or rich and vice versa.
Everyone who is both not brave and not wise is both calm and not wise.
If someone is humble then someone is both calm and patient.
If paul... | Mary is not generous. | neutral | (![X]:((~funny(X)|calm(X))=>funny(X)))&
(![X]:((~happy(X)|happy(X))=>(~tall(X)&creative(X))))&
(![X]:((rich(X)<~>~wise(X))<=>(calm(X)|rich(X))))&
(![X]:((~brave(X)&~wise(X))=>(calm(X)&~wise(X))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&patient(X)))))&
(((~patient(paul)&~wise(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((calm(X)&... | ~generous(mary) | [] | null | 0 |
Everyone who is not rich or not generous is not happy or not old.
If paul is both brave and not kind then paul is not kind.
Everyone who is both not generous and funny is generous or not brave and vice versa.
If someone is not old or tall then someone is both not kind and not humble.
Everyone who is both calm and not c... | John is not patient. | contradiction | (![X]:((~rich(X)|~generous(X))=>(~happy(X)|~old(X))))&
(((brave(paul)&~kind(paul)))=>(~kind(paul)))&
(![X]:((~generous(X)&funny(X))<=>(generous(X)|~brave(X))))&
((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&~humble(X)))))&
(![X]:((calm(X)&~calm(X))<=>(~funny(X)|~old(X))))&
(((~rich(john)<~>~quiet(john)))<=>(?[X]:((calm... | ~patient(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2885065896642675430627255
% SZS output start Proof for 2885065896642675430627255
5. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~old(X0) | ~funny(X0))) [input p4]
7. ? [X0] : (~patient(X0) | humble(X0)) => ? [X0] : (~old(X0) & happy(X0)) [input p6]
20. ~patient(john) [input hypothesis]
22. ? [X... | 0 |
Everyone who is both brave and not patient is tall.
Everyone who is either not generous or not happy is both creative and calm.
Everyone who is not funny or brave is either not quiet or not humble.
Everyone who is funny is both not old and generous and vice versa.
Everyone who is not funny is both not wise and patient ... | John is kind. | contradiction | (![X]:((brave(X)&~patient(X))=>tall(X)))&
(![X]:((~generous(X)<~>~happy(X))=>(creative(X)&calm(X))))&
(![X]:((~funny(X)|brave(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:(funny(X)<=>(~old(X)&generous(X))))&
(![X]:(~funny(X)<=>(~wise(X)&patient(X))))&
((?[X]:((calm(X)<~>quiet(X))))=>((curious(mary)|~creative(mary))))&
(![X]:... | kind(john) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3608993884436752453974779
% SZS output start Proof for 3608993884436752453974779
10. ! [X0] : ((~humble(X0) & patient(X0)) <=> humble(X0)) [input p9]
13. ! [X0] : ((~patient(X0) <~> kind(X0)) <=> (~patient(X0) | ~creative(X0))) [input p12]
24. kind(john) [input hypothesis]
50. ! [X0] : ((... | 0 |
If paul is either brave or not strong then someone is both brave and not kind and vice versa.
Everyone who is both not old and wise is both funny and not happy and vice versa.
Everyone who is not tall or not humble is both not creative and wise.
Everyone who is both not brave and not generous is not happy or calm.
Ever... | Fred is not creative. | entailment | (((brave(paul)<~>~strong(paul)))<=>(?[X]:((brave(X)&~kind(X)))))&
(![X]:((~old(X)&wise(X))<=>(funny(X)&~happy(X))))&
(![X]:((~tall(X)|~humble(X))=>(~creative(X)&wise(X))))&
(![X]:((~brave(X)&~generous(X))=>(~happy(X)|calm(X))))&
(![X]:((wise(X)|patient(X))<=>~quiet(X)))&
((?[X]:((~kind(X)&happy(X))))=>(?[X]:(~strong(X)... | ~creative(fred) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7695617765698050818276595
% SZS output start Proof for 7695617765698050818276595
3. ! [X0] : ((~humble(X0) | ~tall(X0)) => (wise(X0) & ~creative(X0))) [input p2]
15. ! [X0] : (tall(X0) <=> (~creative(X0) <~> ~humble(X0))) [input p14]
25. creative(fred) [input hypothesis]
27. ! [X0] : ((wi... | 0 |
Everyone who is not brave or not happy is not curious or not happy.
If paul is both not strong and not old then someone is both not creative and kind and vice versa.
Everyone who is happy or wise is not happy or rich and vice versa.
Everyone who is old or tall is not happy.
If someone is both not tall and not rich then... | Mary is rich. | entailment | (![X]:((~brave(X)|~happy(X))=>(~curious(X)|~happy(X))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((happy(X)|wise(X))<=>(~happy(X)|rich(X))))&
(![X]:((old(X)|tall(X))=>~happy(X)))&
((?[X]:((~tall(X)&~rich(X))))=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(wise(X)))<=>((~kind(susan)<~>old(... | rich(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 885857883848629118283849
% SZS output start Proof for 885857883848629118283849
19. rich(mary) & kind(mary) [input p18]
24. ~rich(mary) [input hypothesis]
132. rich(mary) [cnf transformation 19]
138. ~rich(mary) [cnf transformation 24]
316. $false [subsumption resolution 138,132]
% SZS out... | 0 |
Everyone who is old or not strong is both happy and tall and vice versa.
If lucy is not funny or old then someone is both calm and patient and vice versa.
Everyone who is not patient or tall is either not generous or humble and vice versa.
If fred is either not strong or not happy then someone is not patient.
Everyone ... | John is quiet. | neutral | (![X]:((old(X)|~strong(X))<=>(happy(X)&tall(X))))&
(((~funny(lucy)|old(lucy)))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:((~patient(X)|tall(X))<=>(~generous(X)<~>humble(X))))&
(((~strong(fred)<~>~happy(fred)))=>(?[X]:(~patient(X))))&
(![X]:((creative(X)|happy(X))=>(~curious(X)<~>~brave(X))))&
(((~old(susan)<~>~quiet(susa... | quiet(john) | [] | null | 0 |
If alice is not creative or old then someone is calm or not rich and vice versa.
If someone is not funny then someone is either curious or kind and vice versa.
If someone is quiet or rich then someone is both not rich and quiet.
If fred is either kind or creative then someone is either creative or brave and vice versa.... | Paul is not patient. | entailment | (((~creative(alice)|old(alice)))<=>(?[X]:((calm(X)|~rich(X)))))&
((?[X]:(~funny(X)))<=>(?[X]:((curious(X)<~>kind(X)))))&
((?[X]:((quiet(X)|rich(X))))=>(?[X]:((~rich(X)&quiet(X)))))&
(((kind(fred)<~>creative(fred)))<=>(?[X]:((creative(X)<~>brave(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:((~happy(... | ~patient(paul) | [
"p7",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5993328626163569964246727
% SZS output start Proof for 5993328626163569964246727
8. ! [X0] : (~kind(X0) <=> (strong(X0) & calm(X0))) [input p7]
11. (calm(alice) & creative(alice)) <=> (old(paul) & ~patient(paul)) [input p10]
14. ! [X0] : ((patient(X0) | ~calm(X0)) <=> ~kind(X0)) [input p1... | 0 |
Everyone who is either not brave or rich is either quiet or brave and vice versa.
Everyone who is both not brave and old is either not strong or patient.
If someone is happy or rich then someone is not wise.
Everyone who is not happy or patient is strong.
Everyone who is not tall or not patient is both not wise and not... | Paul is not patient. | contradiction | (![X]:((~brave(X)<~>rich(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((~brave(X)&old(X))=>(~strong(X)<~>patient(X))))&
((?[X]:((happy(X)|rich(X))))=>(?[X]:(~wise(X))))&
(![X]:((~happy(X)|patient(X))=>strong(X)))&
(![X]:((~tall(X)|~patient(X))=>(~wise(X)&~generous(X))))&
((?[X]:((calm(X)&funny(X))))<=>((brave(mary)<~>~calm(mar... | ~patient(paul) | [
"p4",
"p6",
"p7",
"p8",
"p11",
"p13",
"p18",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2555536926824947788935988
% SZS output start Proof for 2555536926824947788935988
5. ! [X0] : ((~patient(X0) | ~tall(X0)) => (~generous(X0) & ~wise(X0))) [input p4]
7. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> (~tall(X0) & generous(X0))) [input p6]
8. ! [X0] : (~wise(X0) <=> (~generous(X0) <... | 0 |
If someone is either not happy or not strong then mary is both not humble and not brave.
If someone is either old or wise then alice is not curious and vice versa.
Everyone who is generous is either not tall or old and vice versa.
Everyone who is wise or creative is both funny and not old and vice versa.
If paul is not... | Susan is not creative. | neutral | ((?[X]:((~happy(X)<~>~strong(X))))=>((~humble(mary)&~brave(mary))))&
((?[X]:((old(X)<~>wise(X))))<=>(~curious(alice)))&
(![X]:(generous(X)<=>(~tall(X)<~>old(X))))&
(![X]:((wise(X)|creative(X))<=>(funny(X)&~old(X))))&
(((~humble(paul)|~tall(paul)))=>(~patient(mary)))&
(((~happy(paul)|generous(paul)))<=>((~quiet(fred)&~s... | ~creative(susan) | [] | null | 0 |
If someone is both humble and not generous then someone is not kind or creative.
Everyone who is old is not wise or not brave.
Everyone who is not rich or not funny is both not patient and not brave and vice versa.
If john is not calm then fred is not creative or not humble and vice versa.
Everyone who is either patien... | Lucy is generous. | neutral | ((?[X]:((humble(X)&~generous(X))))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:(old(X)=>(~wise(X)|~brave(X))))&
(![X]:((~rich(X)|~funny(X))<=>(~patient(X)&~brave(X))))&
((~calm(john))<=>((~creative(fred)|~humble(fred))))&
(![X]:((patient(X)<~>creative(X))<=>(~brave(X)<~>~creative(X))))&
(((kind(lucy)|~generous(lucy)))=>(?... | generous(lucy) | [] | null | 0 |
Everyone who is both not happy and old is strong.
Everyone who is funny or not kind is either humble or not generous and vice versa.
Everyone who is not patient is happy and vice versa.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and ... | Mary is brave. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(humble(X)<~>~generous(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)... | brave(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3171002108052700225707030
% SZS output start Proof for 3171002108052700225707030
24. ~brave(mary) & ~generous(mary) [input p23]
25. brave(mary) [input hypothesis]
133. ~brave(mary) [cnf transformation 24]
134. brave(mary) [cnf transformation 25]
280. $false [subsumption resolution 134,133... | 0 |
If mary is both strong and quiet then john is either not wise or kind and vice versa.
Everyone who is calm is patient.
If someone is both not tall and not happy then someone is rich or tall and vice versa.
Everyone who is both not creative and wise is both strong and happy and vice versa.
If someone is not quiet then s... | Susan is strong. | neutral | (((strong(mary)&quiet(mary)))<=>((~wise(john)<~>kind(john))))&
(![X]:(calm(X)=>patient(X)))&
((?[X]:((~tall(X)&~happy(X))))<=>(?[X]:((rich(X)|tall(X)))))&
(![X]:((~creative(X)&wise(X))<=>(strong(X)&happy(X))))&
((?[X]:(~quiet(X)))<=>((~brave(susan)&~strong(susan))))&
(![X]:((strong(X)|curious(X))<=>quiet(X)))&
((?[X]:(... | strong(susan) | [] | null | 0 |
Everyone who is generous or not old is both not quiet and not old.
If someone is creative or not wise then susan is quiet or happy.
Everyone who is not creative is both kind and not rich and vice versa.
If someone is kind then someone is generous or humble.
If alice is either not wise or calm then alice is not strong.
... | Lucy is not tall. | neutral | (![X]:((generous(X)|~old(X))=>(~quiet(X)&~old(X))))&
((?[X]:((creative(X)|~wise(X))))=>((quiet(susan)|happy(susan))))&
(![X]:(~creative(X)<=>(kind(X)&~rich(X))))&
((?[X]:(kind(X)))=>(?[X]:((generous(X)|humble(X)))))&
(((~wise(alice)<~>calm(alice)))=>(~strong(alice)))&
(((curious(alice)|~patient(alice)))=>(?[X]:((calm(X... | ~tall(lucy) | [] | null | 0 |
Everyone who is either not generous or not kind is both not creative and wise.
If mary is not brave or funny then someone is not happy.
If paul is not calm or old then someone is wise and vice versa.
Everyone who is funny is not happy and vice versa.
If mary is both not curious and not quiet then someone is both not ta... | Mary is funny. | entailment | (![X]:((~generous(X)<~>~kind(X))=>(~creative(X)&wise(X))))&
(((~brave(mary)|funny(mary)))=>(?[X]:(~happy(X))))&
(((~calm(paul)|old(paul)))<=>(?[X]:(wise(X))))&
(![X]:(funny(X)<=>~happy(X)))&
(((~curious(mary)&~quiet(mary)))<=>(?[X]:((~tall(X)&rich(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)|~f... | funny(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3636817121761265989453036
% SZS output start Proof for 3636817121761265989453036
21. funny(mary) [input p20]
24. ~funny(mary) [input hypothesis]
132. funny(mary) [cnf transformation 21]
137. ~funny(mary) [cnf transformation 24]
141. 1 <=> funny(mary) [avatar definition]
274. 1 [avatar spl... | 0 |
Everyone who is either tall or not brave is not calm. If mary is creative or happy then paul is both not patient and not old. Everyone who is kind or brave is rich and vice versa. If alice is both not generous and not funny then someone is not quiet or patient. If someone is both not old and not brave then paul is not ... | Alice is calm. | contradiction | (![X]:((tall(X)<~>~brave(X))=>~calm(X)))&
(((creative(mary)|happy(mary)))=>((~patient(paul)&~old(paul))))&
(![X]:((kind(X)|brave(X))<=>rich(X)))&
(((~generous(alice)&~funny(alice)))=>(?[X]:((~quiet(X)|patient(X)))))&
((?[X]:((~old(X)&~brave(X))))=>(~strong(paul)))&
(![X]:((~tall(X)&wise(X))=>curious(X)))&
(![X]:((~old(... | calm(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3879502006338088025919759
% SZS output start Proof for 3879502006338088025919759
18. curious(alice) & ~calm(alice) [input p17]
25. calm(alice) [input hypothesis]
117. ~calm(alice) [cnf transformation 18]
128. calm(alice) [cnf transformation 25]
299. $false [subsumption resolution 128,117]... | 0 |
If paul is both not strong and generous then john is both patient and not funny and vice versa. If someone is either not quiet or curious then someone is both not strong and creative. If someone is not funny then someone is quiet or generous and vice versa. Everyone who is either quiet or not kind is not quiet or stron... | Susan is not strong. | contradiction | (((~strong(paul)&generous(paul)))<=>((patient(john)&~funny(john))))&
((?[X]:((~quiet(X)<~>curious(X))))=>(?[X]:((~strong(X)&creative(X)))))&
((?[X]:(~funny(X)))<=>(?[X]:((quiet(X)|generous(X)))))&
(![X]:((quiet(X)<~>~kind(X))=>(~quiet(X)|strong(X))))&
(![X]:((rich(X)<~>brave(X))<=>(quiet(X)<~>~calm(X))))&
((?[X]:((gene... | ~strong(susan) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3467376560547037489492958
% SZS output start Proof for 3467376560547037489492958
8. ! [X0] : (~creative(X0) <=> rich(X0)) [input p7]
11. ! [X0] : (rich(X0) <=> (creative(X0) | strong(X0))) [input p10]
24. ~strong(susan) [input hypothesis]
55. ! [X0] : ((~creative(X0) | ~rich(X0)) & (rich(... | 0 |
If someone is old or not rich then someone is not patient and vice versa. Everyone who is both not generous and tall is both not funny and humble and vice versa. Everyone who is either not old or patient is not generous and vice versa. Everyone who is both not brave and not patient is either not patient or not wise and... | John is rich. | neutral | ((?[X]:((old(X)|~rich(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~generous(X)&tall(X))<=>(~funny(X)&humble(X))))&
(![X]:((~old(X)<~>patient(X))<=>~generous(X)))&
(![X]:((~brave(X)&~patient(X))<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>funny(X))<=>(~kind(X)&~happy(X))))&
(![X]:((~funny(X)<~>happy(X))<=>(generous(X)|ri... | rich(john) | [] | null | 0 |
If fred is generous then paul is both old and patient.
Everyone who is both not happy and wise is brave.
Everyone who is either kind or not strong is either curious or funny and vice versa.
If someone is tall or not strong then john is both not humble and curious.
If someone is either not calm or not quiet then paul is... | Fred is not happy. | neutral | ((generous(fred))=>((old(paul)&patient(paul))))&
(![X]:((~happy(X)&wise(X))=>brave(X)))&
(![X]:((kind(X)<~>~strong(X))<=>(curious(X)<~>funny(X))))&
((?[X]:((tall(X)|~strong(X))))=>((~humble(john)&curious(john))))&
((?[X]:((~calm(X)<~>~quiet(X))))<=>((tall(paul)&~kind(paul))))&
(![X]:((generous(X)&~strong(X))<=>(~patien... | ~happy(fred) | [] | null | 0 |
Everyone who is not tall or humble is either calm or not kind and vice versa.
Everyone who is both generous and humble is not rich or happy and vice versa.
Everyone who is both not tall and calm is either not generous or not quiet.
Everyone who is not funny is either not brave or not rich.
Everyone who is not generous ... | Susan is not calm. | entailment | (![X]:((~tall(X)|humble(X))<=>(calm(X)<~>~kind(X))))&
(![X]:((generous(X)&humble(X))<=>(~rich(X)|happy(X))))&
(![X]:((~tall(X)&calm(X))=>(~generous(X)<~>~quiet(X))))&
(![X]:(~funny(X)=>(~brave(X)<~>~rich(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~happy(X)<~>rich(X))))&
(((~wise(alice)<~>curious(alice)))=>(?[X]:((~quie... | ~calm(susan) | [
"p0",
"p1",
"p4",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1042325286874261256282453
% SZS output start Proof for 1042325286874261256282453
1. ! [X0] : ((humble(X0) | ~tall(X0)) <=> (calm(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : ((humble(X0) & generous(X0)) <=> (happy(X0) | ~rich(X0))) [input p1]
5. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (... | 0 |
Everyone who is brave is either not wise or not kind and vice versa. Everyone who is either not wise or not curious is either not brave or funny and vice versa. If susan is either not generous or strong then someone is either patient or not funny and vice versa. If someone is not curious or brave then john is either no... | Paul is funny. | contradiction | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~brave(X)<~>funny(X))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~happy(john)<~>~generous(john))))&
(((~old(john)|generous(john)))=>((patient(paul)|old(paul))))&
(![X]:(g... | funny(paul) | [
"p2",
"p5",
"p6",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 53303509105337871690110
% SZS output start Proof for 53303509105337871690110
3. (~generous(susan) <~> strong(susan)) <=> ? [X0] : (patient(X0) <~> ~funny(X0)) [input p2]
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
7. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0)... | 0 |
If someone is not patient then fred is either not curious or not happy and vice versa.
If someone is not quiet then someone is both generous and not quiet and vice versa.
Everyone who is not tall or tall is either patient or not happy.
Everyone who is either curious or happy is both brave and not brave and vice versa.
... | Paul is not kind. | entailment | ((?[X]:(~patient(X)))<=>((~curious(fred)<~>~happy(fred))))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~tall(X)|tall(X))=>(patient(X)<~>~happy(X))))&
(![X]:((curious(X)<~>happy(X))<=>(brave(X)&~brave(X))))&
((~creative(mary))<=>((brave(mary)<~>tall(mary))))&
(![X]:(~creative(X)=>generous(X)))&
((?... | ~kind(paul) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3968567235800517549424530
% SZS output start Proof for 3968567235800517549424530
1. ? [X0] : ~patient(X0) <=> (~curious(fred) <~> ~happy(fred)) [input p0]
4. ! [X0] : ((curious(X0) <~> happy(X0)) <=> (~brave(X0) & brave(X0))) [input p3]
6. ! [X0] : (~creative(X0) => generous(X0)) [input p... | 0 |
If mary is not rich or brave then someone is not generous or not creative and vice versa. Everyone who is not generous or not kind is humble and vice versa. Everyone who is both creative and not humble is both not curious and brave and vice versa. Everyone who is brave is either patient or not creative and vice versa. ... | John is not generous. | entailment | (((~rich(mary)|brave(mary)))<=>(?[X]:((~generous(X)|~creative(X)))))&
(![X]:((~generous(X)|~kind(X))<=>humble(X)))&
(![X]:((creative(X)&~humble(X))<=>(~curious(X)&brave(X))))&
(![X]:(brave(X)<=>(patient(X)<~>~creative(X))))&
(![X]:(~wise(X)=>(quiet(X)|~creative(X))))&
((?[X]:((generous(X)|~curious(X))))<=>(?[X]:((brave... | ~generous(john) | [
"p1",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1489800627415233341516664
% SZS output start Proof for 1489800627415233341516664
2. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> humble(X0)) [input p1]
6. ? [X0] : (~curious(X0) | generous(X0)) <=> ? [X0] : (~humble(X0) & brave(X0)) [input p5]
15. ? [X0] : (brave(X0) <~> ~generous(X0)) => (h... | 0 |
If paul is both not wise and calm then john is old or patient.
Everyone who is either happy or not tall is not curious.
Everyone who is both creative and not curious is old.
Everyone who is not brave or not generous is not calm and vice versa.
If someone is either generous or strong then someone is not tall and vice ve... | Alice is not creative. | contradiction | (((~wise(paul)&calm(paul)))=>((old(john)|patient(john))))&
(![X]:((happy(X)<~>~tall(X))=>~curious(X)))&
(![X]:((creative(X)&~curious(X))=>old(X)))&
(![X]:((~brave(X)|~generous(X))<=>~calm(X)))&
((?[X]:((generous(X)<~>strong(X))))<=>(?[X]:(~tall(X))))&
(((happy(lucy)&~tall(lucy)))<=>((humble(lucy)|~happy(lucy))))&
(![X]... | ~creative(alice) | [
"p3",
"p9",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 16849138008138300277921
% SZS output start Proof for 16849138008138300277921
4. ! [X0] : ((~generous(X0) | ~brave(X0)) <=> ~calm(X0)) [input p3]
10. ? [X0] : (calm(X0) | ~creative(X0)) <=> (~tall(alice) & ~generous(alice)) [input p9]
13. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> ~wise(X0... | 0 |
If paul is either not strong or not generous then john is curious or calm. Everyone who is not humble or strong is both not happy and not patient. If susan is not patient then lucy is both not brave and quiet and vice versa. If someone is either not old or not calm then susan is not generous or not tall and vice versa.... | Susan is not strong. | entailment | (((~strong(paul)<~>~generous(paul)))=>((curious(john)|calm(john))))&
(![X]:((~humble(X)|strong(X))=>(~happy(X)&~patient(X))))&
((~patient(susan))<=>((~brave(lucy)&quiet(lucy))))&
((?[X]:((~old(X)<~>~calm(X))))<=>((~generous(susan)|~tall(susan))))&
(((tall(mary)&~strong(mary)))<=>(?[X]:(calm(X))))&
((?[X]:(~brave(X)))=>... | ~strong(susan) | [
"p1",
"p2",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 729171610515127883284866
% SZS output start Proof for 729171610515127883284866
2. ! [X0] : ((strong(X0) | ~humble(X0)) => (~patient(X0) & ~happy(X0))) [input p1]
3. ~patient(susan) <=> (quiet(lucy) & ~brave(lucy)) [input p2]
6. ? [X0] : ~brave(X0) => happy(lucy) [input p5]
19. ~humble(luc... | 0 |
If someone is curious or not creative then fred is both not strong and brave and vice versa. If lucy is both rich and funny then paul is not humble or not generous. If lucy is both not calm and creative then john is not humble or not wise and vice versa. Everyone who is creative is not tall or not rich. If someone is p... | Fred is not humble. | neutral | ((?[X]:((curious(X)|~creative(X))))<=>((~strong(fred)&brave(fred))))&
(((rich(lucy)&funny(lucy)))=>((~humble(paul)|~generous(paul))))&
(((~calm(lucy)&creative(lucy)))<=>((~humble(john)|~wise(john))))&
(![X]:(creative(X)=>(~tall(X)|~rich(X))))&
((?[X]:((patient(X)|~creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)<... | ~humble(fred) | [] | null | 0 |
Everyone who is either not rich or brave is curious and vice versa. If someone is calm then paul is either not old or brave and vice versa. If lucy is either not generous or generous then susan is not creative. Everyone who is both not kind and old is both not creative and old and vice versa. Everyone who is both not b... | Lucy is not generous. | neutral | (![X]:((~rich(X)<~>brave(X))<=>curious(X)))&
((?[X]:(calm(X)))<=>((~old(paul)<~>brave(paul))))&
(((~generous(lucy)<~>generous(lucy)))=>(~creative(susan)))&
(![X]:((~kind(X)&old(X))<=>(~creative(X)&old(X))))&
(![X]:((~brave(X)&~calm(X))=>(~wise(X)&~old(X))))&
((?[X]:((funny(X)|~funny(X))))<=>(?[X]:((happy(X)<~>~strong(X... | ~generous(lucy) | [] | null | 0 |
If alice is both strong and not brave then lucy is kind or strong and vice versa.
If lucy is either rich or not wise then paul is happy.
If john is both kind and quiet then susan is either wise or tall.
Everyone who is both generous and calm is both not quiet and quiet.
If fred is patient then susan is not calm and vic... | Lucy is not kind. | entailment | (((strong(alice)&~brave(alice)))<=>((kind(lucy)|strong(lucy))))&
(((rich(lucy)<~>~wise(lucy)))=>(happy(paul)))&
(((kind(john)&quiet(john)))=>((wise(susan)<~>tall(susan))))&
(![X]:((generous(X)&calm(X))=>(~quiet(X)&quiet(X))))&
((patient(fred))<=>(~calm(susan)))&
((~happy(mary))<=>(?[X]:(~strong(X))))&
((?[X]:((rich(X)&... | ~kind(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9005410956294591246820868
% SZS output start Proof for 9005410956294591246820868
1. (~brave(alice) & strong(alice)) <=> (strong(lucy) | kind(lucy)) [input p0]
9. ! [X0] : ((old(X0) | ~brave(X0)) <=> (kind(X0) & ~strong(X0))) [input p8]
25. kind(lucy) [input hypothesis]
42. ((~brave(alice)... | 0 |
If fred is patient then fred is either not brave or quiet and vice versa.
If susan is not generous then someone is rich and vice versa.
Everyone who is either not tall or rich is both happy and tall.
Everyone who is either wise or tall is not brave.
If susan is either kind or not humble then someone is happy or patient... | John is generous. | neutral | ((patient(fred))<=>((~brave(fred)<~>quiet(fred))))&
((~generous(susan))<=>(?[X]:(rich(X))))&
(![X]:((~tall(X)<~>rich(X))=>(happy(X)&tall(X))))&
(![X]:((wise(X)<~>tall(X))=>~brave(X)))&
(((kind(susan)<~>~humble(susan)))<=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~creative(X)|rich(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:... | generous(john) | [] | null | 0 |
Everyone who is either old or not happy is kind or not calm and vice versa. Everyone who is either wise or patient is both not patient and not old and vice versa. If susan is either not wise or not funny then someone is either happy or not funny. If someone is either not patient or curious then someone is both wise and... | John is not wise. | contradiction | (![X]:((old(X)<~>~happy(X))<=>(kind(X)|~calm(X))))&
(![X]:((wise(X)<~>patient(X))<=>(~patient(X)&~old(X))))&
(((~wise(susan)<~>~funny(susan)))=>(?[X]:((happy(X)<~>~funny(X)))))&
((?[X]:((~patient(X)<~>curious(X))))=>(?[X]:((wise(X)&happy(X)))))&
(![X]:(generous(X)<=>(~strong(X)<~>~quiet(X))))&
(![X]:(~quiet(X)=>(curiou... | ~wise(john) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1319325076378617705346309
% SZS output start Proof for 1319325076378617705346309
2. ! [X0] : ((wise(X0) <~> patient(X0)) <=> (~old(X0) & ~patient(X0))) [input p1]
11. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~old(X0)) [input p10]
25. ~wise(john) [input hypothesis]
34. ! [X0] : (~old(X0) | (~... | 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 funny. | contradiction | ((~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 3071974080588446596103822
% SZS output start Proof for 3071974080588446596103822
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)) <=> (gener... | 0 |
Everyone who is either not rich or not generous is not quiet and vice versa.
If alice is either not quiet or not brave then someone is not curious.
If alice is calm or funny then susan is both old and not happy and vice versa.
If someone is either not quiet or strong then john is either not rich or curious.
Everyone wh... | Fred is not patient. | contradiction | (![X]:((~rich(X)<~>~generous(X))<=>~quiet(X)))&
(((~quiet(alice)<~>~brave(alice)))=>(?[X]:(~curious(X))))&
(((calm(alice)|funny(alice)))<=>((old(susan)&~happy(susan))))&
((?[X]:((~quiet(X)<~>strong(X))))=>((~rich(john)<~>curious(john))))&
(![X]:((~rich(X)&creative(X))=>(generous(X)&~quiet(X))))&
((?[X]:(~quiet(X)))<=>(... | ~patient(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 65804521215135278444020
% SZS output start Proof for 65804521215135278444020
17. wise(fred) & patient(fred) [input p16]
25. ~patient(fred) [input hypothesis]
157. patient(fred) [cnf transformation 17]
168. ~patient(fred) [cnf transformation 25]
442. $false [subsumption resolution 168,157]... | 0 |
Everyone who is both not strong and curious is both not curious and not brave.
Everyone who is generous or not rich is tall.
If someone is either not rich or not creative then alice is happy and vice versa.
Everyone who is both wise and rich is creative.
If someone is generous then someone is both calm and strong.
If m... | Alice is not humble. | neutral | (![X]:((~strong(X)&curious(X))=>(~curious(X)&~brave(X))))&
(![X]:((generous(X)|~rich(X))=>tall(X)))&
((?[X]:((~rich(X)<~>~creative(X))))<=>(happy(alice)))&
(![X]:((wise(X)&rich(X))=>creative(X)))&
((?[X]:(generous(X)))=>(?[X]:((calm(X)&strong(X)))))&
(((calm(mary)<~>~strong(mary)))<=>((~wise(alice)&old(alice))))&
(((ta... | ~humble(alice) | [] | null | 0 |
Everyone who is both happy and kind is either not calm or funny and vice versa.
Everyone who is not old is not generous or quiet and vice versa.
If someone is happy or creative then john is both rich and creative and vice versa.
Everyone who is both not patient and not strong is both not creative and strong.
If paul is... | Lucy is not funny. | contradiction | (![X]:((happy(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~old(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((happy(X)|creative(X))))<=>((rich(john)&creative(john))))&
(![X]:((~patient(X)&~strong(X))=>(~creative(X)&strong(X))))&
(((~funny(paul)<~>~creative(paul)))=>((humble(lucy)<~>kind(lucy))))&
(((wise(alice)<~>~funny(al... | ~funny(lucy) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4350426886869116836382575
% SZS output start Proof for 4350426886869116836382575
1. ! [X0] : ((kind(X0) & happy(X0)) <=> (~calm(X0) <~> funny(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (quiet(X0) | ~generous(X0))) [input p1]
3. ? [X0] : (creative(X0) | happy(X0)) <=> (creative(john) & ric... | 0 |
If paul is creative or brave then someone is either old or kind and vice versa. Everyone who is tall is both quiet and not rich and vice versa. Everyone who is not calm is not patient and vice versa. If paul is either not quiet or patient then fred is both brave and not kind. If someone is quiet or tall then someone is... | Fred is not calm. | entailment | (((creative(paul)|brave(paul)))<=>(?[X]:((old(X)<~>kind(X)))))&
(![X]:(tall(X)<=>(quiet(X)&~rich(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(((~quiet(paul)<~>patient(paul)))=>((brave(fred)&~kind(fred))))&
((?[X]:((quiet(X)|tall(X))))=>(?[X]:((~brave(X)|humble(X)))))&
(![X]:((tall(X)|happy(X))=>~wise(X)))&
(![X]:((strong(X... | ~calm(fred) | [
"p2",
"p8",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4374983663682790163651405
% SZS output start Proof for 4374983663682790163651405
3. ! [X0] : (~calm(X0) <=> ~patient(X0)) [input p2]
9. ! [X0] : ((curious(X0) | rich(X0)) <=> (~funny(X0) & ~brave(X0))) [input p8]
11. ! [X0] : ((~rich(X0) | humble(X0)) => (old(X0) <~> ~funny(X0))) [input p... | 0 |
If alice is not funny then lucy is strong or kind and vice versa.
Everyone who is both patient and not creative is either not old or not patient and vice versa.
Everyone who is both not rich and not kind is humble or not old and vice versa.
If alice is both not brave and generous then susan is either old or not rich an... | Susan is rich. | contradiction | ((~funny(alice))<=>((strong(lucy)|kind(lucy))))&
(![X]:((patient(X)&~creative(X))<=>(~old(X)<~>~patient(X))))&
(![X]:((~rich(X)&~kind(X))<=>(humble(X)|~old(X))))&
(((~brave(alice)&generous(alice)))<=>((old(susan)<~>~rich(susan))))&
((?[X]:(~happy(X)))<=>(?[X]:((~kind(X)|~brave(X)))))&
(((strong(paul)<~>~brave(paul)))<=... | rich(susan) | [
"p1",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 556842426538354198012731
% SZS output start Proof for 556842426538354198012731
2. ! [X0] : ((~creative(X0) & patient(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p1]
3. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (~old(X0) | humble(X0))) [input p2]
12. ! [X0] : ((~patient(X0) | ~tall(X0)) <=> (... | 0 |
Everyone who is either kind or not brave is tall.
If susan is both not happy and strong then fred is not old.
If someone is not humble or not quiet then someone is both strong and not wise and vice versa.
Everyone who is brave is not happy or patient and vice versa.
If someone is happy or kind then someone is not wise ... | Mary is not old. | neutral | (![X]:((kind(X)<~>~brave(X))=>tall(X)))&
(((~happy(susan)&strong(susan)))=>(~old(fred)))&
((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(brave(X)<=>(~happy(X)|patient(X))))&
((?[X]:((happy(X)|kind(X))))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)<~>calm(X))<=>~quiet(X)))&
(![X]:((~patient(X)<~>h... | ~old(mary) | [] | null | 0 |
If someone is not old or not wise then lucy is both brave and quiet and vice versa.
If john is both quiet and brave then someone is either not old or happy.
Everyone who is both not creative and kind is not quiet or not humble.
Everyone who is both kind and not wise is either not kind or tall.
Everyone who is either no... | Lucy is not quiet. | entailment | ((?[X]:((~old(X)|~wise(X))))<=>((brave(lucy)&quiet(lucy))))&
(((quiet(john)&brave(john)))=>(?[X]:((~old(X)<~>happy(X)))))&
(![X]:((~creative(X)&kind(X))=>(~quiet(X)|~humble(X))))&
(![X]:((kind(X)&~wise(X))=>(~kind(X)<~>tall(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:((~tall(X)&brave(X))))<... | ~quiet(lucy) | [
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4438764639656215804782878
% SZS output start Proof for 4438764639656215804782878
5. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (wise(X0) <~> ~quiet(X0))) [input p4]
11. ! [X0] : ((~patient(X0) & ~generous(X0)) => ~quiet(X0)) [input p10]
16. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> generous(... | 0 |
If someone is not rich then someone is old and vice versa. If someone is tall then someone is generous or calm and vice versa. Everyone who is brave is not patient or not wise. Everyone who is either generous or old is both rich and creative. Everyone who is kind is either kind or rich and vice versa. Everyone who is s... | John is not generous. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:(old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((generous(X)|calm(X)))))&
(![X]:(brave(X)=>(~patient(X)|~wise(X))))&
(![X]:((generous(X)<~>old(X))=>(rich(X)&creative(X))))&
(![X]:(kind(X)<=>(kind(X)<~>rich(X))))&
(![X]:(strong(X)=>(~kind(X)<~>~quiet(X))))&
(![X]:((quiet(X)&wise(X))=>(humble(X)&~kind(X... | ~generous(john) | [
"p0",
"p3",
"p4",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6440524585713312164697168
% SZS output start Proof for 6440524585713312164697168
1. ? [X0] : ~rich(X0) <=> ? [X0] : old(X0) [input p0]
4. ! [X0] : ((generous(X0) <~> old(X0)) => (creative(X0) & rich(X0))) [input p3]
5. ! [X0] : (kind(X0) <=> (kind(X0) <~> rich(X0))) [input p4]
8. ! [X0] :... | 0 |
If paul is both tall and not old then alice is either not humble or not wise.
Everyone who is either not patient or old is either not curious or calm.
If alice is either wise or not tall then paul is not old or quiet.
Everyone who is both wise and rich is not funny and vice versa.
Everyone who is either funny or not ge... | Paul is not tall. | entailment | (((tall(paul)&~old(paul)))=>((~humble(alice)<~>~wise(alice))))&
(![X]:((~patient(X)<~>old(X))=>(~curious(X)<~>calm(X))))&
(((wise(alice)<~>~tall(alice)))=>((~old(paul)|quiet(paul))))&
(![X]:((wise(X)&rich(X))<=>~funny(X)))&
(![X]:((funny(X)<~>~generous(X))=>~curious(X)))&
(![X]:((strong(X)<~>~humble(X))=>(~old(X)&patie... | ~tall(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7456789784454729125791306
% SZS output start Proof for 7456789784454729125791306
14. ! [X0] : ((tall(X0) | ~funny(X0)) => (~rich(X0) & rich(X0))) [input p13]
24. tall(paul) [input hypothesis]
38. ! [X0] : ((~rich(X0) & rich(X0)) | (~tall(X0) & funny(X0))) [ennf transformation 14]
104. ric... | 0 |
Everyone who is strong or not patient is either not brave or not wise. If someone is not humble then mary is either funny or not brave and vice versa. If someone is old then someone is not calm and vice versa. Everyone who is patient or not happy is not brave and vice versa. Everyone who is both humble and not wise is ... | Susan is not brave. | neutral | (![X]:((strong(X)|~patient(X))=>(~brave(X)<~>~wise(X))))&
((?[X]:(~humble(X)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(old(X)))<=>(?[X]:(~calm(X))))&
(![X]:((patient(X)|~happy(X))<=>~brave(X)))&
(![X]:((humble(X)&~wise(X))<=>(wise(X)&humble(X))))&
(![X]:((quiet(X)|creative(X))=>(funny(X)&humble(X))))&
(((~humble(sus... | ~brave(susan) | [] | null | 0 |
If susan is both not generous and not curious then someone is rich and vice versa. If paul is not old then susan is both curious and old and vice versa. Everyone who is not patient is both not old and funny and vice versa. Everyone who is not funny is either tall or brave and vice versa. Everyone who is either not curi... | John is generous. | neutral | (((~generous(susan)&~curious(susan)))<=>(?[X]:(rich(X))))&
((~old(paul))<=>((curious(susan)&old(susan))))&
(![X]:(~patient(X)<=>(~old(X)&funny(X))))&
(![X]:(~funny(X)<=>(tall(X)<~>brave(X))))&
(![X]:((~curious(X)<~>rich(X))<=>~patient(X)))&
(![X]:(~wise(X)=>(~quiet(X)|~generous(X))))&
(![X]:((brave(X)<~>~patient(X))<=>... | generous(john) | [] | null | 0 |
Everyone who is not happy is generous.
Everyone who is not quiet or funny is creative.
If paul is happy then someone is either wise or not funny.
If someone is not wise or old then someone is wise.
If someone is either not creative or rich then mary is both not patient and not happy.
Everyone who is creative is not str... | Susan is happy. | entailment | (![X]:(~happy(X)=>generous(X)))&
(![X]:((~quiet(X)|funny(X))=>creative(X)))&
((happy(paul))=>(?[X]:((wise(X)<~>~funny(X)))))&
((?[X]:((~wise(X)|old(X))))=>(?[X]:(wise(X))))&
((?[X]:((~creative(X)<~>rich(X))))=>((~patient(mary)&~happy(mary))))&
(![X]:(creative(X)=>~strong(X)))&
((~wise(lucy))=>(?[X]:((happy(X)&~wise(X))... | happy(susan) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5330150451480570845782050
% SZS output start Proof for 5330150451480570845782050
1. ! [X0] : (~happy(X0) => generous(X0)) [input p0]
13. ! [X0] : (generous(X0) => (funny(X0) & ~funny(X0))) [input p12]
24. ~happy(susan) [input hypothesis]
32. ! [X0] : (generous(X0) | happy(X0)) [ennf trans... | 0 |
Everyone who is both strong and not old is not tall or rich. Everyone who is not happy or creative is patient or not rich. If john is both kind and not rich then someone is not wise. If paul is either not tall or tall then fred is either not old or not rich and vice versa. Everyone who is both calm and not patient is e... | Alice is not quiet. | neutral | (![X]:((strong(X)&~old(X))=>(~tall(X)|rich(X))))&
(![X]:((~happy(X)|creative(X))=>(patient(X)|~rich(X))))&
(((kind(john)&~rich(john)))=>(?[X]:(~wise(X))))&
(((~tall(paul)<~>tall(paul)))<=>((~old(fred)<~>~rich(fred))))&
(![X]:((calm(X)&~patient(X))=>(patient(X)<~>generous(X))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(generous... | ~quiet(alice) | [] | null | 0 |
If someone is kind then someone is tall or kind and vice versa.
Everyone who is both curious and not rich is both not tall and happy and vice versa.
If someone is either funny or tall then someone is either quiet or not tall and vice versa.
Everyone who is not strong or rich is either wise or not patient and vice versa... | John is old. | contradiction | ((?[X]:(kind(X)))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((curious(X)&~rich(X))<=>(~tall(X)&happy(X))))&
((?[X]:((funny(X)<~>tall(X))))<=>(?[X]:((quiet(X)<~>~tall(X)))))&
(![X]:((~strong(X)|rich(X))<=>(wise(X)<~>~patient(X))))&
((?[X]:(~kind(X)))=>((~generous(susan)&~creative(susan))))&
(((~brave(paul)<~>quiet(paul)))<=>... | old(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2143649014913850220595458
% SZS output start Proof for 2143649014913850220595458
7. ! [X0] : ((~creative(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p6]
24. old(john) [input hypothesis]
30. ! [X0] : ((~strong(X0) & ~old(X0)) | (creative(X0) & ~old(X0))) [ennf transformation 7]
114.... | 0 |
Everyone who is either brave or not patient is either humble or not tall.
If someone is both creative and wise then someone is generous or quiet and vice versa.
If someone is both not calm and calm then someone is either humble or generous and vice versa.
If someone is not curious or not happy then susan is either not ... | Alice is creative. | neutral | (![X]:((brave(X)<~>~patient(X))=>(humble(X)<~>~tall(X))))&
((?[X]:((creative(X)&wise(X))))<=>(?[X]:((generous(X)|quiet(X)))))&
((?[X]:((~calm(X)&calm(X))))<=>(?[X]:((humble(X)<~>generous(X)))))&
((?[X]:((~curious(X)|~happy(X))))<=>((~wise(susan)<~>~strong(susan))))&
(![X]:(funny(X)<=>(~calm(X)&generous(X))))&
(((kind(a... | creative(alice) | [] | null | 0 |
If someone is both not strong and not kind then mary is either calm or patient and vice versa.
Everyone who is either not quiet or generous is either not rich or calm.
If susan is funny or not rich then someone is not wise or generous.
Everyone who is not calm or funny is not tall and vice versa.
Everyone who is either... | John is happy. | contradiction | ((?[X]:((~strong(X)&~kind(X))))<=>((calm(mary)<~>patient(mary))))&
(![X]:((~quiet(X)<~>generous(X))=>(~rich(X)<~>calm(X))))&
(((funny(susan)|~rich(susan)))=>(?[X]:((~wise(X)|generous(X)))))&
(![X]:((~calm(X)|funny(X))<=>~tall(X)))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)<~>brave(X))))&
(((~old(paul)<~>~patient(paul))... | happy(john) | [
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4446543503579799682760259
% SZS output start Proof for 4446543503579799682760259
5. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (strong(X0) <~> brave(X0))) [input p4]
7. ! [X0] : ((~brave(X0) | creative(X0)) => curious(X0)) [input p6]
8. ! [X0] : (humble(X0) <=> (curious(X0) & ~strong(X0))) [... | 0 |
Everyone who is either brave or not wise is either not generous or not curious and vice versa.
If lucy is both tall and wise then lucy is both not patient and generous.
Everyone who is strong or not curious is curious or not creative and vice versa.
Everyone who is either creative or not old is either strong or humble ... | Fred is not funny. | entailment | (![X]:((brave(X)<~>~wise(X))<=>(~generous(X)<~>~curious(X))))&
(((tall(lucy)&wise(lucy)))=>((~patient(lucy)&generous(lucy))))&
(![X]:((strong(X)|~curious(X))<=>(curious(X)|~creative(X))))&
(![X]:((creative(X)<~>~old(X))<=>(strong(X)<~>humble(X))))&
((humble(lucy))<=>(?[X]:((~kind(X)<~>creative(X)))))&
(![X]:((~strong(X... | ~funny(fred) | [
"p2",
"p5",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7440531209055910414507996
% SZS output start Proof for 7440531209055910414507996
3. ! [X0] : ((~curious(X0) | strong(X0)) <=> (~creative(X0) | curious(X0))) [input p2]
6. ! [X0] : ((~strong(X0) <~> curious(X0)) <=> (~curious(X0) <~> wise(X0))) [input p5]
11. ! [X0] : (~generous(X0) <=> (s... | 0 |
Everyone who is funny is either creative or patient.
If someone is both kind and humble then someone is not brave or rich.
If alice is tall or rich then fred is either rich or not calm.
Everyone who is old or tall is both tall and not strong and vice versa.
Everyone who is not tall is either curious or happy and vice v... | Mary is not brave. | entailment | (![X]:(funny(X)=>(creative(X)<~>patient(X))))&
((?[X]:((kind(X)&humble(X))))=>(?[X]:((~brave(X)|rich(X)))))&
(((tall(alice)|rich(alice)))=>((rich(fred)<~>~calm(fred))))&
(![X]:((old(X)|tall(X))<=>(tall(X)&~strong(X))))&
(![X]:(~tall(X)<=>(curious(X)<~>happy(X))))&
(![X]:((~curious(X)&tall(X))<=>(kind(X)|rich(X))))&
((?... | ~brave(mary) | [
"p4",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3260004071429916751996858
% SZS output start Proof for 3260004071429916751996858
5. ! [X0] : (~tall(X0) <=> (curious(X0) <~> happy(X0))) [input p4]
6. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (rich(X0) | kind(X0))) [input p5]
13. ! [X0] : ((wise(X0) & happy(X0)) <=> kind(X0)) [input p12]
1... | 0 |
Everyone who is not creative or not humble is not curious and vice versa.
If someone is both not old and not funny then someone is either not funny or wise and vice versa.
Everyone who is either not patient or not strong is happy or funny.
Everyone who is both not kind and tall is both happy and tall and vice versa.
If... | Alice is wise. | neutral | (![X]:((~creative(X)|~humble(X))<=>~curious(X)))&
((?[X]:((~old(X)&~funny(X))))<=>(?[X]:((~funny(X)<~>wise(X)))))&
(![X]:((~patient(X)<~>~strong(X))=>(happy(X)|funny(X))))&
(![X]:((~kind(X)&tall(X))<=>(happy(X)&tall(X))))&
((?[X]:((~happy(X)&happy(X))))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)|old(X))<=>(~happy(X)|~br... | wise(alice) | [] | null | 0 |
Everyone who is both not strong and patient is humble.
If someone is not old then someone is not curious or happy and vice versa.
Everyone who is either not quiet or patient is brave or quiet.
Everyone who is both patient and wise is not old.
If someone is not happy or not generous then someone is kind or not humble an... | Alice is old. | entailment | (![X]:((~strong(X)&patient(X))=>humble(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~curious(X)|happy(X)))))&
(![X]:((~quiet(X)<~>patient(X))=>(brave(X)|quiet(X))))&
(![X]:((patient(X)&wise(X))=>~old(X)))&
((?[X]:((~happy(X)|~generous(X))))<=>(?[X]:((kind(X)|~humble(X)))))&
((?[X]:((~kind(X)<~>quiet(X))))=>((humble(paul)<~>~wise(... | old(alice) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8141130772207769765761479
% SZS output start Proof for 8141130772207769765761479
8. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (~quiet(X0) & patient(X0))) [input p7]
13. ? [X0] : (~old(X0) | humble(X0)) <=> (curious(paul) & patient(paul)) [input p12]
24. ~old(alice) [input hypothesis]
56.... | 0 |
Everyone who is both humble and not brave is either not happy or wise.
If someone is not brave then lucy is tall.
Everyone who is either not happy or not brave is either not rich or not tall and vice versa.
Everyone who is patient is both not kind and humble and vice versa.
Everyone who is tall or not rich is strong.
I... | Lucy is not wise. | contradiction | (![X]:((humble(X)&~brave(X))=>(~happy(X)<~>wise(X))))&
((?[X]:(~brave(X)))=>(tall(lucy)))&
(![X]:((~happy(X)<~>~brave(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~>~generous(X)))))&
(![X]:(~generous(X)=>~wi... | ~wise(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p10",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4489409461214739420940442
% SZS output start Proof for 4489409461214739420940442
1. ! [X0] : ((~brave(X0) & humble(X0)) => (~happy(X0) <~> wise(X0))) [input p0]
2. ? [X0] : ~brave(X0) => tall(lucy) [input p1]
4. ! [X0] : (patient(X0) <=> (humble(X0) & ~kind(X0))) [input p3]
5. ! [X0] : ((... | 0 |
Everyone who is not creative or not rich is not rich or tall.
Everyone who is rich or patient is quiet.
Everyone who is not wise or quiet is not old.
Everyone who is not strong or curious is calm.
If susan is both not patient and calm then paul is both not rich and kind.
Everyone who is either not quiet or not generous... | Paul is not tall. | neutral | (![X]:((~creative(X)|~rich(X))=>(~rich(X)|tall(X))))&
(![X]:((rich(X)|patient(X))=>quiet(X)))&
(![X]:((~wise(X)|quiet(X))=>~old(X)))&
(![X]:((~strong(X)|curious(X))=>calm(X)))&
(((~patient(susan)&calm(susan)))=>((~rich(paul)&kind(paul))))&
(![X]:((~quiet(X)<~>~generous(X))=>quiet(X)))&
(![X]:((kind(X)&~calm(X))=>(~kind... | ~tall(paul) | [] | null | 0 |
If someone is old then lucy is either calm or humble and vice versa.
Everyone who is either not curious or quiet is old and vice versa.
Everyone who is not curious or kind is not wise or not creative and vice versa.
Everyone who is not patient is not wise and vice versa.
Everyone who is either not tall or strong is tal... | John is not quiet. | entailment | ((?[X]:(old(X)))<=>((calm(lucy)<~>humble(lucy))))&
(![X]:((~curious(X)<~>quiet(X))<=>old(X)))&
(![X]:((~curious(X)|kind(X))<=>(~wise(X)|~creative(X))))&
(![X]:(~patient(X)<=>~wise(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(tall(X)|~patient(X))))&
(![X]:(happy(X)<=>(~humble(X)&humble(X))))&
(![X]:(strong(X)=>(patient(X)|~ha... | ~quiet(john) | [
"p3",
"p4",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6833627503722099774801775
% SZS output start Proof for 6833627503722099774801775
4. ! [X0] : (~patient(X0) <=> ~wise(X0)) [input p3]
5. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~patient(X0) | tall(X0))) [input p4]
14. ! [X0] : ((~patient(X0) & wise(X0)) <=> ~patient(X0)) [input p13]
22. ... | 0 |
If someone is humble then john is either not tall or not brave and vice versa.
Everyone who is either not strong or rich is both not funny and not creative and vice versa.
If someone is not patient or not tall then someone is not wise and vice versa.
If mary is either humble or brave then alice is not strong or not tal... | Susan is not curious. | neutral | ((?[X]:(humble(X)))<=>((~tall(john)<~>~brave(john))))&
(![X]:((~strong(X)<~>rich(X))<=>(~funny(X)&~creative(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(?[X]:(~wise(X))))&
(((humble(mary)<~>brave(mary)))<=>((~strong(alice)|~tall(alice))))&
(((~strong(alice)<~>generous(alice)))=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((~gener... | ~curious(susan) | [] | null | 0 |
Everyone who is either humble or not happy is both not brave and not creative and vice versa. If mary is either funny or wise then fred is kind. Everyone who is either brave or not strong is both rich and old and vice versa. If someone is not kind or curious then someone is both curious and not brave. Everyone who is e... | Mary is not strong. | contradiction | (![X]:((humble(X)<~>~happy(X))<=>(~brave(X)&~creative(X))))&
(((funny(mary)<~>wise(mary)))=>(kind(fred)))&
(![X]:((brave(X)<~>~strong(X))<=>(rich(X)&old(X))))&
((?[X]:((~kind(X)|curious(X))))=>(?[X]:((curious(X)&~brave(X)))))&
(![X]:((patient(X)<~>happy(X))<=>(~tall(X)<~>old(X))))&
((~kind(paul))=>(creative(alice)))&
(... | ~strong(mary) | [
"p0",
"p2",
"p4",
"p6",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7709920233608190023483937
% SZS output start Proof for 7709920233608190023483937
1. ! [X0] : ((humble(X0) <~> ~happy(X0)) <=> (~creative(X0) & ~brave(X0))) [input p0]
3. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (old(X0) & rich(X0))) [input p2]
5. ! [X0] : ((patient(X0) <~> happy(X0)) <=>... | 0 |
If someone is not tall then lucy is both happy and not kind.
Everyone who is patient is not kind or wise and vice versa.
Everyone who is not brave is curious or kind.
Everyone who is both humble and not humble is both not quiet and not creative.
Everyone who is either not calm or brave is quiet and vice versa.
Everyone... | Lucy is not funny. | entailment | ((?[X]:(~tall(X)))=>((happy(lucy)&~kind(lucy))))&
(![X]:(patient(X)<=>(~kind(X)|wise(X))))&
(![X]:(~brave(X)=>(curious(X)|kind(X))))&
(![X]:((humble(X)&~humble(X))=>(~quiet(X)&~creative(X))))&
(![X]:((~calm(X)<~>brave(X))<=>quiet(X)))&
(![X]:((funny(X)|~brave(X))=>(~happy(X)&~calm(X))))&
(![X]:((~old(X)|~tall(X))=>~cre... | ~funny(lucy) | [
"p0",
"p4",
"p5",
"p7",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4312202552145636809987586
% SZS output start Proof for 4312202552145636809987586
1. ? [X0] : ~tall(X0) => (~kind(lucy) & happy(lucy)) [input p0]
5. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> quiet(X0)) [input p4]
6. ! [X0] : ((~brave(X0) | funny(X0)) => (~calm(X0) & ~happy(X0))) [input p5]
8... | 0 |
If john is either not brave or not strong then someone is either not wise or old and vice versa.
If susan is funny then someone is both not humble and not funny and vice versa.
Everyone who is funny is both not kind and not calm.
Everyone who is both creative and rich is patient or quiet.
Everyone who is both creative ... | Paul is not wise. | contradiction | (((~brave(john)<~>~strong(john)))<=>(?[X]:((~wise(X)<~>old(X)))))&
((funny(susan))<=>(?[X]:((~humble(X)&~funny(X)))))&
(![X]:(funny(X)=>(~kind(X)&~calm(X))))&
(![X]:((creative(X)&rich(X))=>(patient(X)|quiet(X))))&
(![X]:((creative(X)&curious(X))=>(~kind(X)|~funny(X))))&
(![X]:((curious(X)<~>kind(X))=>(brave(X)|tall(X))... | ~wise(paul) | [
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8290106663069992590841122
% SZS output start Proof for 8290106663069992590841122
12. ! [X0] : ((calm(X0) & old(X0)) <=> (~wise(X0) | ~kind(X0))) [input p11]
21. ~old(paul) [input p20]
25. ~wise(paul) [input hypothesis]
62. ! [X0] : (((calm(X0) & old(X0)) | (wise(X0) & kind(X0))) & ((~wise... | 0 |
If susan is both not rich and not tall then someone is both not rich and not creative.
If someone is not humble or patient then john is either not rich or old and vice versa.
Everyone who is not brave is both not happy and rich and vice versa.
Everyone who is either not generous or old is either creative or not humble.... | Lucy is not calm. | neutral | (((~rich(susan)&~tall(susan)))=>(?[X]:((~rich(X)&~creative(X)))))&
((?[X]:((~humble(X)|patient(X))))<=>((~rich(john)<~>old(john))))&
(![X]:(~brave(X)<=>(~happy(X)&rich(X))))&
(![X]:((~generous(X)<~>old(X))=>(creative(X)<~>~humble(X))))&
(![X]:((tall(X)&rich(X))<=>(patient(X)|~patient(X))))&
(((humble(paul)<~>~wise(paul... | ~calm(lucy) | [] | null | 0 |
Everyone who is not curious is not calm or not patient. Everyone who is both rich and patient is either not wise or not quiet and vice versa. Everyone who is either tall or not curious is both not generous and not quiet and vice versa. If someone is either happy or generous then fred is brave and vice versa. If lucy is... | John is not old. | entailment | (![X]:(~curious(X)=>(~calm(X)|~patient(X))))&
(![X]:((rich(X)&patient(X))<=>(~wise(X)<~>~quiet(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(~generous(X)&~quiet(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>(brave(fred)))&
(((rich(lucy)&~funny(lucy)))<=>(~patient(alice)))&
(![X]:(generous(X)=>(~quiet(X)|~brave(X))))&
((?[X]:(... | ~old(john) | [
"p7",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 668533444443856659997070
% SZS output start Proof for 668533444443856659997070
8. (funny(john) | old(john)) => old(paul) [input p7]
10. ! [X0] : (~calm(X0) => (strong(X0) & ~old(X0))) [input p9]
22. old(paul) <~> calm(paul) [input p21]
24. old(john) [input hypothesis]
32. old(paul) | (~fu... | 0 |
If lucy is patient or not humble then someone is not brave or curious and vice versa.
If someone is creative then susan is either strong or calm and vice versa.
If someone is both not calm and rich then someone is not strong.
If alice is either rich or not humble then susan is not strong or not generous and vice versa.... | John is not strong. | neutral | (((patient(lucy)|~humble(lucy)))<=>(?[X]:((~brave(X)|curious(X)))))&
((?[X]:(creative(X)))<=>((strong(susan)<~>calm(susan))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:(~strong(X))))&
(((rich(alice)<~>~humble(alice)))<=>((~strong(susan)|~generous(susan))))&
(((generous(mary)&kind(mary)))=>((happy(mary)|~calm(mary))))&
((cre... | ~strong(john) | [] | null | 0 |
If mary is not tall then fred is kind or not rich and vice versa. Everyone who is both not humble and old is tall. Everyone who is not generous or not humble is both not brave and wise and vice versa. Everyone who is not humble or not funny is not strong or not happy and vice versa. Everyone who is either kind or humbl... | Fred is not generous. | neutral | ((~tall(mary))<=>((kind(fred)|~rich(fred))))&
(![X]:((~humble(X)&old(X))=>tall(X)))&
(![X]:((~generous(X)|~humble(X))<=>(~brave(X)&wise(X))))&
(![X]:((~humble(X)|~funny(X))<=>(~strong(X)|~happy(X))))&
(![X]:((kind(X)<~>humble(X))=>(~strong(X)<~>~humble(X))))&
(![X]:(quiet(X)=>(~curious(X)&strong(X))))&
(![X]:((~old(X)&... | ~generous(fred) | [] | null | 0 |
Everyone who is not happy or not rich is either quiet or happy and vice versa.
Everyone who is strong or not wise is either calm or rich and vice versa.
Everyone who is humble is happy and vice versa.
Everyone who is not patient is either not tall or funny and vice versa.
If someone is patient or happy then fred is not... | John is not funny. | entailment | (![X]:((~happy(X)|~rich(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((strong(X)|~wise(X))<=>(calm(X)<~>rich(X))))&
(![X]:(humble(X)<=>happy(X)))&
(![X]:(~patient(X)<=>(~tall(X)<~>funny(X))))&
((?[X]:((patient(X)|happy(X))))=>(~strong(fred)))&
(![X]:((tall(X)&~generous(X))=>calm(X)))&
((?[X]:((~wise(X)|creative(X))))<=>(?[X]:(... | ~funny(john) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7894490970211164133662033
% SZS output start Proof for 7894490970211164133662033
1. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> (quiet(X0) <~> happy(X0))) [input p0]
4. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> funny(X0))) [input p3]
5. ? [X0] : (happy(X0) | patient(X0)) => ~strong(fred) [inpu... | 0 |
Everyone who is not strong is not happy or not patient and vice versa. If someone is tall or brave then someone is both tall and not tall and vice versa. Everyone who is either not generous or kind is both curious and not funny. If paul is creative or humble then someone is either not calm or brave and vice versa. Ever... | Paul is strong. | contradiction | (![X]:(~strong(X)<=>(~happy(X)|~patient(X))))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:((tall(X)&~tall(X)))))&
(![X]:((~generous(X)<~>kind(X))=>(curious(X)&~funny(X))))&
(((creative(paul)|humble(paul)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:((~creative(X)|kind(X))<=>(~strong(X)<~>curious(X))))&
((strong(susan))<=>((~wi... | strong(paul) | [
"p0",
"p4",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4111585566805998224346439
% SZS output start Proof for 4111585566805998224346439
1. ! [X0] : (~strong(X0) <=> (~patient(X0) | ~happy(X0))) [input p0]
5. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (~strong(X0) <~> curious(X0))) [input p4]
11. ! [X0] : (~kind(X0) => (creative(X0) & ~happy(X0)... | 0 |
Everyone who is kind or not strong is not creative or not funny.
Everyone who is not wise or not humble is wise.
Everyone who is not patient or brave is either not humble or kind and vice versa.
If someone is either not kind or not brave then someone is not rich or not kind.
If someone is not rich then someone is curio... | John is not quiet. | neutral | (![X]:((kind(X)|~strong(X))=>(~creative(X)|~funny(X))))&
(![X]:((~wise(X)|~humble(X))=>wise(X)))&
(![X]:((~patient(X)|brave(X))<=>(~humble(X)<~>kind(X))))&
((?[X]:((~kind(X)<~>~brave(X))))=>(?[X]:((~rich(X)|~kind(X)))))&
((?[X]:(~rich(X)))<=>(?[X]:((curious(X)|~creative(X)))))&
(![X]:(curious(X)=>~rich(X)))&
((?[X]:(cu... | ~quiet(john) | [] | null | 0 |
Everyone who is not kind is not funny.
If paul is not quiet then alice is not old.
Everyone who is not tall or not old is funny or not rich and vice versa.
If someone is not kind then susan is not brave.
Everyone who is either not strong or not curious is both funny and not humble.
If lucy is both not curious and not c... | Susan is not rich. | neutral | (![X]:(~kind(X)=>~funny(X)))&
((~quiet(paul))=>(~old(alice)))&
(![X]:((~tall(X)|~old(X))<=>(funny(X)|~rich(X))))&
((?[X]:(~kind(X)))=>(~brave(susan)))&
(![X]:((~strong(X)<~>~curious(X))=>(funny(X)&~humble(X))))&
(((~curious(lucy)&~creative(lucy)))<=>((~curious(mary)<~>~wise(mary))))&
((?[X]:(old(X)))=>((wise(susan)&~ki... | ~rich(susan) | [] | null | 0 |
Everyone who is kind is either calm or not wise. Everyone who is either not quiet or kind is not happy. Everyone who is not quiet is not curious or not brave. If john is either rich or not creative then john is both patient and happy. If someone is either generous or patient then lucy is either not kind or not humble a... | Mary is not wise. | entailment | (![X]:(kind(X)=>(calm(X)<~>~wise(X))))&
(![X]:((~quiet(X)<~>kind(X))=>~happy(X)))&
(![X]:(~quiet(X)=>(~curious(X)|~brave(X))))&
(((rich(john)<~>~creative(john)))=>((patient(john)&happy(john))))&
((?[X]:((generous(X)<~>patient(X))))<=>((~kind(lucy)<~>~humble(lucy))))&
(((strong(lucy)|~happy(lucy)))=>((curious(alice)&~br... | ~wise(mary) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 335746825003924392231484
% SZS output start Proof for 335746825003924392231484
8. ! [X0] : ((generous(X0) & ~funny(X0)) <=> (tall(X0) | wise(X0))) [input p7]
23. generous(mary) <~> wise(mary) [input p22]
25. wise(mary) [input hypothesis]
47. ! [X0] : (((generous(X0) & ~funny(X0)) | (~tall... | 0 |
Everyone who is both strong and quiet is humble or not humble. Everyone who is funny or not generous is not kind and vice versa. If paul is old or happy then someone is either strong or brave and vice versa. If paul is either old or rich then someone is curious or humble and vice versa. If mary is happy then someone is... | Mary is creative. | neutral | (![X]:((strong(X)&quiet(X))=>(humble(X)|~humble(X))))&
(![X]:((funny(X)|~generous(X))<=>~kind(X)))&
(((old(paul)|happy(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(((old(paul)<~>rich(paul)))<=>(?[X]:((curious(X)|humble(X)))))&
((happy(mary))=>(?[X]:((tall(X)<~>~quiet(X)))))&
((happy(paul))<=>(?[X]:((~calm(X)&funny(X)))... | creative(mary) | [] | null | 0 |
If someone is either creative or old then someone is either not calm or not brave.
Everyone who is both not creative and creative is both wise and not tall and vice versa.
Everyone who is quiet is either happy or not tall.
If someone is both generous and brave then someone is either tall or generous and vice versa.
Eve... | Mary is calm. | entailment | ((?[X]:((creative(X)<~>old(X))))=>(?[X]:((~calm(X)<~>~brave(X)))))&
(![X]:((~creative(X)&creative(X))<=>(wise(X)&~tall(X))))&
(![X]:(quiet(X)=>(happy(X)<~>~tall(X))))&
((?[X]:((generous(X)&brave(X))))<=>(?[X]:((tall(X)<~>generous(X)))))&
(![X]:((tall(X)<~>~curious(X))=>(~tall(X)&patient(X))))&
(![X]:(patient(X)<=>(~ric... | calm(mary) | [
"p1",
"p4",
"p5",
"p10",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2250758340380558411159237
% SZS output start Proof for 2250758340380558411159237
2. ! [X0] : ((creative(X0) & ~creative(X0)) <=> (~tall(X0) & wise(X0))) [input p1]
5. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (patient(X0) & ~tall(X0))) [input p4]
6. ! [X0] : (patient(X0) <=> (curious(X0) &... | 0 |
Everyone who is either not old or strong is not creative and vice versa.
Everyone who is either calm or not humble is patient or not humble and vice versa.
If someone is not quiet or strong then someone is either happy or humble and vice versa.
Everyone who is either not calm or old is either creative or kind and vice ... | Paul is calm. | entailment | (![X]:((~old(X)<~>strong(X))<=>~creative(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(patient(X)|~humble(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>(?[X]:((happy(X)<~>humble(X)))))&
(![X]:((~calm(X)<~>old(X))<=>(creative(X)<~>kind(X))))&
(((rich(susan)|~wise(susan)))<=>((strong(alice)&~wise(alice))))&
(![X]:((~humble(X)|~brave... | calm(paul) | [
"p1",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8727532552865429875404631
% SZS output start Proof for 8727532552865429875404631
2. ! [X0] : ((calm(X0) <~> ~humble(X0)) <=> (~humble(X0) | patient(X0))) [input p1]
6. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> ~patient(X0)) [input p5]
8. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> (~generous(X0... | 0 |
Everyone who is not strong is both not generous and not rich.
If lucy is both curious and not calm then lucy is strong.
Everyone who is both curious and rich is both not brave and funny.
If fred is generous or strong then fred is creative or quiet and vice versa.
Everyone who is both humble and old is rich.
Everyone wh... | Fred is brave. | neutral | (![X]:(~strong(X)=>(~generous(X)&~rich(X))))&
(((curious(lucy)&~calm(lucy)))=>(strong(lucy)))&
(![X]:((curious(X)&rich(X))=>(~brave(X)&funny(X))))&
(((generous(fred)|strong(fred)))<=>((creative(fred)|quiet(fred))))&
(![X]:((humble(X)&old(X))=>rich(X)))&
(![X]:((rich(X)<~>funny(X))<=>~brave(X)))&
((?[X]:(kind(X)))<=>(?[... | brave(fred) | [] | null | 0 |
If someone is patient then john is both generous and wise and vice versa. Everyone who is either not old or happy is tall. Everyone who is either not curious or not rich is both not brave and not humble. Everyone who is either not generous or not humble is wise or brave. Everyone who is both calm and old is either not ... | Fred is generous. | neutral | ((?[X]:(patient(X)))<=>((generous(john)&wise(john))))&
(![X]:((~old(X)<~>happy(X))=>tall(X)))&
(![X]:((~curious(X)<~>~rich(X))=>(~brave(X)&~humble(X))))&
(![X]:((~generous(X)<~>~humble(X))=>(wise(X)|brave(X))))&
(![X]:((calm(X)&old(X))=>(~wise(X)<~>generous(X))))&
(![X]:((tall(X)&wise(X))=>(~brave(X)&~creative(X))))&
(... | generous(fred) | [] | null | 0 |
Everyone who is generous or not calm is not tall.
If fred is not humble or not tall then alice is both not patient and not humble and vice versa.
If someone is not funny or not patient then mary is brave and vice versa.
Everyone who is old is both not old and curious and vice versa.
Everyone who is happy is either brav... | Susan is brave. | neutral | (![X]:((generous(X)|~calm(X))=>~tall(X)))&
(((~humble(fred)|~tall(fred)))<=>((~patient(alice)&~humble(alice))))&
((?[X]:((~funny(X)|~patient(X))))<=>(brave(mary)))&
(![X]:(old(X)<=>(~old(X)&curious(X))))&
(![X]:(happy(X)<=>(brave(X)<~>strong(X))))&
((?[X]:(~creative(X)))<=>((~rich(susan)|patient(susan))))&
(![X]:((humb... | brave(susan) | [] | null | 0 |
Everyone who is both not calm and patient is not patient and vice versa. Everyone who is either wise or not kind is either not wise or kind and vice versa. Everyone who is not happy is brave and vice versa. If someone is not tall or quiet then susan is quiet and vice versa. Everyone who is either not generous or creati... | Fred is not patient. | contradiction | (![X]:((~calm(X)&patient(X))<=>~patient(X)))&
(![X]:((wise(X)<~>~kind(X))<=>(~wise(X)<~>kind(X))))&
(![X]:(~happy(X)<=>brave(X)))&
((?[X]:((~tall(X)|quiet(X))))<=>(quiet(susan)))&
(![X]:((~generous(X)<~>creative(X))<=>(rich(X)<~>~quiet(X))))&
(((tall(fred)<~>brave(fred)))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:(creative(... | ~patient(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6559642895250078686932433
% SZS output start Proof for 6559642895250078686932433
1. ! [X0] : ((patient(X0) & ~calm(X0)) <=> ~patient(X0)) [input p0]
23. ~patient(fred) [input hypothesis]
36. ! [X0] : (((patient(X0) & ~calm(X0)) | patient(X0)) & (~patient(X0) | (~patient(X0) | calm(X0)))) ... | 0 |
If someone is both not quiet and not patient then paul is rich and vice versa. Everyone who is either wise or not strong is not rich or calm. Everyone who is humble is both happy and brave. Everyone who is not calm is not quiet or not funny. If someone is either quiet or generous then alice is not brave or not rich. If... | Alice is not humble. | neutral | ((?[X]:((~quiet(X)&~patient(X))))<=>(rich(paul)))&
(![X]:((wise(X)<~>~strong(X))=>(~rich(X)|calm(X))))&
(![X]:(humble(X)=>(happy(X)&brave(X))))&
(![X]:(~calm(X)=>(~quiet(X)|~funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>((~brave(alice)|~rich(alice))))&
((~humble(john))=>((~humble(mary)<~>humble(mary))))&
((?[X]:((ri... | ~humble(alice) | [] | null | 0 |
Everyone who is either not wise or not brave is old and vice versa.
Everyone who is both not humble and not funny is either old or quiet.
If john is either not generous or not quiet then someone is either wise or patient.
Everyone who is generous is either old or generous and vice versa.
If someone is both old and not ... | Lucy is not wise. | entailment | (![X]:((~wise(X)<~>~brave(X))<=>old(X)))&
(![X]:((~humble(X)&~funny(X))=>(old(X)<~>quiet(X))))&
(((~generous(john)<~>~quiet(john)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:(generous(X)<=>(old(X)<~>generous(X))))&
((?[X]:((old(X)&~patient(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(patient(X)))<=>((old(paul)|ki... | ~wise(lucy) | [
"p0",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2699818340970659004502837
% SZS output start Proof for 2699818340970659004502837
1. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> old(X0)) [input p0]
4. ! [X0] : (generous(X0) <=> (old(X0) <~> generous(X0))) [input p3]
8. ! [X0] : ((~brave(X0) & ~kind(X0)) <=> (~kind(X0) | ~old(X0))) [input p7... | 0 |
Everyone who is humble or not curious is both not creative and not generous. Everyone who is rich or not funny is not calm or creative. Everyone who is patient is both curious and happy. Everyone who is not old or not wise is either not happy or tall. Everyone who is patient is both calm and strong. If someone is eithe... | Mary is quiet. | neutral | (![X]:((humble(X)|~curious(X))=>(~creative(X)&~generous(X))))&
(![X]:((rich(X)|~funny(X))=>(~calm(X)|creative(X))))&
(![X]:(patient(X)=>(curious(X)&happy(X))))&
(![X]:((~old(X)|~wise(X))=>(~happy(X)<~>tall(X))))&
(![X]:(patient(X)=>(calm(X)&strong(X))))&
((?[X]:((~happy(X)<~>creative(X))))=>(?[X]:((humble(X)|~brave(X))... | quiet(mary) | [] | null | 0 |
Everyone who is not strong or not generous is both old and not tall and vice versa.
Everyone who is both tall and not creative is both not funny and quiet and vice versa.
Everyone who is rich or not strong is both not funny and not patient and vice versa.
Everyone who is curious is either not quiet or not rich.
If some... | Fred is happy. | neutral | (![X]:((~strong(X)|~generous(X))<=>(old(X)&~tall(X))))&
(![X]:((tall(X)&~creative(X))<=>(~funny(X)&quiet(X))))&
(![X]:((rich(X)|~strong(X))<=>(~funny(X)&~patient(X))))&
(![X]:(curious(X)=>(~quiet(X)<~>~rich(X))))&
((?[X]:((~wise(X)&brave(X))))<=>((tall(alice)<~>~wise(alice))))&
(![X]:((creative(X)|~funny(X))=>(~old(X)|... | happy(fred) | [] | null | 0 |
If fred is not generous or happy then someone is either not patient or not humble and vice versa. If john is kind or not strong then someone is both old and tall and vice versa. If mary is not rich then lucy is funny and vice versa. If someone is either not generous or not brave then mary is either not funny or not pat... | John is happy. | entailment | (((~generous(fred)|happy(fred)))<=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((kind(john)|~strong(john)))<=>(?[X]:((old(X)&tall(X)))))&
((~rich(mary))<=>(funny(lucy)))&
((?[X]:((~generous(X)<~>~brave(X))))=>((~funny(mary)<~>~patient(mary))))&
(![X]:((~curious(X)&~brave(X))<=>patient(X)))&
(![X]:((calm(X)<~>brave(X))<=>hum... | happy(john) | [
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8883783042266366947104173
% SZS output start Proof for 8883783042266366947104173
5. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> patient(X0)) [input p4]
10. ! [X0] : (~happy(X0) => (~tall(X0) & old(X0))) [input p9]
11. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> (curious(X0) & patient(X0))) [inp... | 0 |
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