premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not old or funny is brave or quiet. Everyone who is not wise or happy is both creative and wise. If someone is rich or not creative then someone is not curious or old. If susan is both not curious and happy then someone is both not rich and not tall and vice versa. If someone is either wise or qu... | Mary is not creative. | entailment | (![X]:((~old(X)<~>funny(X))=>(brave(X)|quiet(X))))&
(![X]:((~wise(X)|happy(X))=>(creative(X)&wise(X))))&
((?[X]:((rich(X)|~creative(X))))=>(?[X]:((~curious(X)|old(X)))))&
(((~curious(susan)&happy(susan)))<=>(?[X]:((~rich(X)&~tall(X)))))&
((?[X]:((wise(X)<~>quiet(X))))<=>((creative(paul)&~creative(paul))))&
(((~humble(s... | ~creative(mary) | [
"p1",
"p4",
"p10",
"p11",
"p13",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7297740106041751683380703
% SZS output start Proof for 7297740106041751683380703
2. ! [X0] : ((happy(X0) | ~wise(X0)) => (wise(X0) & creative(X0))) [input p1]
5. ? [X0] : (wise(X0) <~> quiet(X0)) <=> (~creative(paul) & creative(paul)) [input p4]
11. ? [X0] : (generous(X0) <~> ~quiet(X0)) ... | 0 |
Everyone who is both not strong and curious is patient and vice versa.
Everyone who is either not humble or not calm is brave and vice versa.
Everyone who is both happy and not strong is both strong and funny.
Everyone who is old or funny is not brave or curious and vice versa.
If someone is both not funny and creative... | Paul is tall. | neutral | (![X]:((~strong(X)&curious(X))<=>patient(X)))&
(![X]:((~humble(X)<~>~calm(X))<=>brave(X)))&
(![X]:((happy(X)&~strong(X))=>(strong(X)&funny(X))))&
(![X]:((old(X)|funny(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~funny(X)&creative(X))))=>((curious(paul)<~>patient(paul))))&
(![X]:((~kind(X)&~strong(X))<=>(rich(X)<~>calm(X))... | tall(paul) | [] | null | 0 |
Everyone who is not patient or humble is both funny and not funny.
If lucy is not generous or not happy then someone is either calm or humble.
Everyone who is old is strong or not kind.
Everyone who is brave or curious is not creative.
If someone is either not curious or not funny then susan is not patient.
If alice is... | Susan is rich. | entailment | (![X]:((~patient(X)|humble(X))=>(funny(X)&~funny(X))))&
(((~generous(lucy)|~happy(lucy)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:(old(X)=>(strong(X)|~kind(X))))&
(![X]:((brave(X)|curious(X))=>~creative(X)))&
((?[X]:((~curious(X)<~>~funny(X))))=>(~patient(susan)))&
(((~brave(alice)|~happy(alice)))=>(?[X]:((generous(X)|... | rich(susan) | [
"p0",
"p3",
"p4",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 287610935998669303805583
% SZS output start Proof for 287610935998669303805583
1. ! [X0] : ((humble(X0) | ~patient(X0)) => (~funny(X0) & funny(X0))) [input p0]
4. ! [X0] : ((curious(X0) | brave(X0)) => ~creative(X0)) [input p3]
5. ? [X0] : (~curious(X0) <~> ~funny(X0)) => ~patient(susan) ... | 0 |
Everyone who is either not curious or patient is not happy and vice versa.
Everyone who is both not strong and not old is both curious and strong.
Everyone who is both generous and rich is both not strong and rich.
Everyone who is both not kind and not generous is not patient and vice versa.
Everyone who is wise or not... | Fred is not happy. | neutral | (![X]:((~curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:((~strong(X)&~old(X))=>(curious(X)&strong(X))))&
(![X]:((generous(X)&rich(X))=>(~strong(X)&rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>~patient(X)))&
(![X]:((wise(X)|~quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((brave(X)|happy(X))<=>(~generous(X)&happy(X))))&
(((hu... | ~happy(fred) | [] | null | 0 |
Everyone who is not humble or not creative is rich or wise and vice versa.
Everyone who is calm or not wise is both not patient and not calm and vice versa.
If paul is creative or brave then someone is not humble and vice versa.
Everyone who is both brave and tall is not rich.
Everyone who is either generous or not ric... | Paul is creative. | contradiction | (![X]:((~humble(X)|~creative(X))<=>(rich(X)|wise(X))))&
(![X]:((calm(X)|~wise(X))<=>(~patient(X)&~calm(X))))&
(((creative(paul)|brave(paul)))<=>(?[X]:(~humble(X))))&
(![X]:((brave(X)&tall(X))=>~rich(X)))&
(![X]:((generous(X)<~>~rich(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((strong(X)&~old(X))))<=>(quiet(john)))&
(![X]:((... | creative(paul) | [
"p0",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4712095772631433296950482
% SZS output start Proof for 4712095772631433296950482
1. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (wise(X0) | rich(X0))) [input p0]
9. ! [X0] : ((~old(X0) | happy(X0)) => (~funny(X0) & ~happy(X0))) [input p8]
10. ! [X0] : (~wise(X0) => generous(X0)) [input p9... | 0 |
Everyone who is strong or quiet is happy and vice versa.
If someone is both curious and not patient then someone is brave and vice versa.
Everyone who is not wise or not quiet is either quiet or tall and vice versa.
If someone is both creative and curious then someone is both strong and not tall.
Everyone who is not fu... | Susan is strong. | entailment | (![X]:((strong(X)|quiet(X))<=>happy(X)))&
((?[X]:((curious(X)&~patient(X))))<=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|~quiet(X))<=>(quiet(X)<~>tall(X))))&
((?[X]:((creative(X)&curious(X))))=>(?[X]:((strong(X)&~tall(X)))))&
(![X]:((~funny(X)|~rich(X))<=>old(X)))&
(![X]:((~old(X)&tall(X))<=>(funny(X)<~>quiet(X))))&
(![X]:(... | strong(susan) | [
"p0",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 961446655236673688258051
% SZS output start Proof for 961446655236673688258051
1. ! [X0] : ((quiet(X0) | strong(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (quiet(X0) <~> tall(X0))) [input p2]
7. ! [X0] : (tall(X0) => (humble(X0) & ~tall(X0))) [input p6]
8. ! ... | 0 |
Everyone who is not strong is brave.
Everyone who is either old or not rich is generous and vice versa.
If paul is either generous or not old then alice is not calm or old and vice versa.
If someone is curious or kind then someone is not tall or funny.
If someone is rich then fred is kind and vice versa.
Everyone who i... | Alice is not generous. | contradiction | (![X]:(~strong(X)=>brave(X)))&
(![X]:((old(X)<~>~rich(X))<=>generous(X)))&
(((generous(paul)<~>~old(paul)))<=>((~calm(alice)|old(alice))))&
((?[X]:((curious(X)|kind(X))))=>(?[X]:((~tall(X)|funny(X)))))&
((?[X]:(rich(X)))<=>(kind(fred)))&
(![X]:(~happy(X)=>(creative(X)&~tall(X))))&
(((patient(fred)<~>quiet(fred)))<=>(?[... | ~generous(alice) | [
"p1",
"p2",
"p4",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2568045573847106819258223
% SZS output start Proof for 2568045573847106819258223
2. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> generous(X0)) [input p1]
3. (generous(paul) <~> ~old(paul)) <=> (old(alice) | ~calm(alice)) [input p2]
5. ? [X0] : rich(X0) <=> kind(fred) [input p4]
15. ! [X0] : (~ta... | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then alice is either not strong or not quiet and vice versa.
Everyone who is either kind or not generous is both not generous and not strong.
Everyone who is strong is not funny and vice versa.
Everyone who is brave or rich ... | Alice is rich. | contradiction | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>((~strong(alice)<~>~quiet(alice))))&
(![X]:((kind(X)<~>~generous(X))=>(~generous(X)&~strong(X))))&
(![X]:(strong(X)<=>~funny(X)))&
(![X]:((brave(X)|rich(X))<=>(~rich(X)&~creative(X))))&
(![X]:((kind(X)&~old(X))=>(rich(X)<~>~tall(X))))&
((... | rich(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5815703114365895433827407
% SZS output start Proof for 5815703114365895433827407
5. ! [X0] : ((rich(X0) | brave(X0)) <=> (~creative(X0) & ~rich(X0))) [input p4]
21. rich(alice) [input hypothesis]
40. ! [X0] : (((rich(X0) | brave(X0)) | (creative(X0) | rich(X0))) & ((~creative(X0) & ~rich(... | 0 |
If alice is humble then someone is old or not creative.
Everyone who is not strong or not funny is both not humble and generous and vice versa.
If someone is not tall or not curious then someone is either brave or not wise and vice versa.
If fred is both old and not tall then lucy is humble and vice versa.
Everyone who... | Paul is not strong. | contradiction | ((humble(alice))=>(?[X]:((old(X)|~creative(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~humble(X)&generous(X))))&
((?[X]:((~tall(X)|~curious(X))))<=>(?[X]:((brave(X)<~>~wise(X)))))&
(((old(fred)&~tall(fred)))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X))))&
(![X... | ~strong(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1870281264767333766824481
% SZS output start Proof for 1870281264767333766824481
5. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p4]
23. ~strong(paul) [input hypothesis]
46. ! [X0] : ((((creative(X0) | strong(X0)) & (~creative(X0) | ~strong(X0))) | creative(X0)) & (... | 0 |
Everyone who is both not strong and tall is either not old or not kind. Everyone who is patient or not old is not old. Everyone who is both not wise and strong is not creative and vice versa. Everyone who is not brave or strong is either not calm or not strong. If fred is not old then someone is not humble or not funny... | John is not strong. | neutral | (![X]:((~strong(X)&tall(X))=>(~old(X)<~>~kind(X))))&
(![X]:((patient(X)|~old(X))=>~old(X)))&
(![X]:((~wise(X)&strong(X))<=>~creative(X)))&
(![X]:((~brave(X)|strong(X))=>(~calm(X)<~>~strong(X))))&
((~old(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:(~humble(X)<=>~curious(X)))&
(![X]:((~old(X)|strong(X))=>~humble(X))... | ~strong(john) | [] | null | 0 |
If mary is not happy or curious then someone is strong or not tall. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not creative or not humble is funny and vice versa. Everyone who is either curious or kind is bra... | Paul is patient. | neutral | (((~happy(mary)|curious(mary)))=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X)|curious(X))=>(humble(X)|~calm(X))))&
(((quiet(lucy)|brave(... | patient(paul) | [] | null | 0 |
Everyone who is either not quiet or kind is both not humble and not happy. Everyone who is rich or kind is not generous or funny and vice versa. If someone is either not creative or funny then mary is both not quiet and not curious. If susan is kind or not old then lucy is wise or not curious. Everyone who is not calm ... | Mary is humble. | contradiction | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|kind(X))<=>(~generous(X)|funny(X))))&
((?[X]:((~creative(X)<~>funny(X))))=>((~quiet(mary)&~curious(mary))))&
(((kind(susan)|~old(susan)))=>((wise(lucy)|~curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(funny(X)&rich(X))))&
(![X]:((happy(X)|~happy(X)... | humble(mary) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2439098466520303618146168
% SZS output start Proof for 2439098466520303618146168
1. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (~happy(X0) & ~humble(X0))) [input p0]
2. ! [X0] : ((kind(X0) | rich(X0)) <=> (funny(X0) | ~generous(X0))) [input p1]
3. ? [X0] : (~creative(X0) <~> funny(X0)) => (~c... | 0 |
If someone is either not old or not quiet then fred is not rich and vice versa.
Everyone who is either old or not rich is not rich.
Everyone who is both old and wise is either old or not old.
Everyone who is either not curious or funny is both tall and not wise and vice versa.
Everyone who is either humble or funny is ... | Mary is creative. | contradiction | ((?[X]:((~old(X)<~>~quiet(X))))<=>(~rich(fred)))&
(![X]:((old(X)<~>~rich(X))=>~rich(X)))&
(![X]:((old(X)&wise(X))=>(old(X)<~>~old(X))))&
(![X]:((~curious(X)<~>funny(X))<=>(tall(X)&~wise(X))))&
(![X]:((humble(X)<~>funny(X))<=>~happy(X)))&
(![X]:((~happy(X)|~funny(X))=>(~curious(X)&~calm(X))))&
(![X]:((patient(X)&~rich(X... | creative(mary) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8817164170273948874365818
% SZS output start Proof for 8817164170273948874365818
13. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> generous(X0)) [input p12]
18. ~creative(mary) | generous(mary) [input p17]
25. creative(mary) [input hypothesis]
64. ! [X0] : (((~creative(X0) & ~brave(X0)) | ~g... | 0 |
Everyone who is calm is both not curious and not wise. Everyone who is brave or creative is either not creative or not humble. If john is both not rich and not happy then someone is either curious or happy. Everyone who is tall is both not creative and not quiet. Everyone who is patient is humble or not wise. Everyone ... | Paul is rich. | neutral | (![X]:(calm(X)=>(~curious(X)&~wise(X))))&
(![X]:((brave(X)|creative(X))=>(~creative(X)<~>~humble(X))))&
(((~rich(john)&~happy(john)))=>(?[X]:((curious(X)<~>happy(X)))))&
(![X]:(tall(X)=>(~creative(X)&~quiet(X))))&
(![X]:(patient(X)=>(humble(X)|~wise(X))))&
(![X]:(~patient(X)=>(curious(X)|~calm(X))))&
((?[X]:(tall(X)))<... | rich(paul) | [] | null | 0 |
If someone is not creative then someone is not tall.
If paul is either curious or patient then paul is both not happy and rich and vice versa.
If john is either patient or not brave then mary is either not generous or not calm and vice versa.
If lucy is both not kind and curious then someone is creative or not quiet.
E... | Alice is not curious. | neutral | ((?[X]:(~creative(X)))=>(?[X]:(~tall(X))))&
(((curious(paul)<~>patient(paul)))<=>((~happy(paul)&rich(paul))))&
(((patient(john)<~>~brave(john)))<=>((~generous(mary)<~>~calm(mary))))&
(((~kind(lucy)&curious(lucy)))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(... | ~curious(alice) | [] | null | 0 |
Everyone who is either not quiet or not curious is not kind or not brave and vice versa.
Everyone who is either not brave or rich is not calm or not rich.
Everyone who is either not tall or not curious is both curious and creative.
Everyone who is either not curious or generous is not old or strong and vice versa.
If s... | Paul is not humble. | contradiction | (![X]:((~quiet(X)<~>~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~brave(X)<~>rich(X))=>(~calm(X)|~rich(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(curious(X)&creative(X))))&
(![X]:((~curious(X)<~>generous(X))<=>(~old(X)|strong(X))))&
((?[X]:(strong(X)))<=>(~funny(fred)))&
((?[X]:((rich(X)&quiet(X))))<=>(tall(paul)))&
((... | ~humble(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2624905660753075699608288
% SZS output start Proof for 2624905660753075699608288
10. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (brave(X0) & humble(X0))) [input p9]
25. ~humble(paul) [input hypothesis]
59. ! [X0] : (((wise(X0) | ~wise(X0)) | (~brave(X0) | ~humble(X0))) & ((brave(X0) & humble(X0... | 0 |
Everyone who is kind or not tall is not rich or not quiet and vice versa. If lucy is both not patient and creative then fred is not patient. Everyone who is patient is not generous. If someone is both old and not old then someone is both not strong and not humble and vice versa. Everyone who is both generous and kind i... | John is calm. | neutral | (![X]:((kind(X)|~tall(X))<=>(~rich(X)|~quiet(X))))&
(((~patient(lucy)&creative(lucy)))=>(~patient(fred)))&
(![X]:(patient(X)=>~generous(X)))&
((?[X]:((old(X)&~old(X))))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:((generous(X)&kind(X))=>~generous(X)))&
(![X]:((~generous(X)<~>~quiet(X))<=>(~humble(X)&curious(X))))&
(![X]... | calm(john) | [] | null | 0 |
If someone is not calm then someone is happy or brave.
If someone is either not wise or strong then someone is not wise or happy and vice versa.
Everyone who is either not calm or generous is not calm or brave and vice versa.
Everyone who is both not humble and happy is either tall or humble and vice versa.
Everyone wh... | Susan is not old. | contradiction | ((?[X]:(~calm(X)))=>(?[X]:((happy(X)|brave(X)))))&
((?[X]:((~wise(X)<~>strong(X))))<=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:((~calm(X)<~>generous(X))<=>(~calm(X)|brave(X))))&
(![X]:((~humble(X)&happy(X))<=>(tall(X)<~>humble(X))))&
(![X]:((~old(X)&~rich(X))=>(~generous(X)&strong(X))))&
(![X]:(~patient(X)=>(~wise(X)&calm(... | ~old(susan) | [
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6062716859222720750567051
% SZS output start Proof for 6062716859222720750567051
5. ! [X0] : ((~rich(X0) & ~old(X0)) => (strong(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((rich(X0) | ~wise(X0)) => (~patient(X0) & ~rich(X0))) [input p9]
11. ? [X0] : (~generous(X0) <~> patient(X0)) => r... | 0 |
Everyone who is not patient or kind is either not happy or not funny and vice versa.
Everyone who is either tall or not strong is both calm and wise and vice versa.
Everyone who is both strong and not old is either not creative or brave and vice versa.
If susan is both tall and not strong then someone is not tall and v... | Lucy is happy. | entailment | (![X]:((~patient(X)|kind(X))<=>(~happy(X)<~>~funny(X))))&
(![X]:((tall(X)<~>~strong(X))<=>(calm(X)&wise(X))))&
(![X]:((strong(X)&~old(X))<=>(~creative(X)<~>brave(X))))&
(((tall(susan)&~strong(susan)))<=>(?[X]:(~tall(X))))&
(![X]:((strong(X)<~>~funny(X))<=>(rich(X)&~strong(X))))&
((~brave(mary))<=>((~kind(fred)|quiet(fr... | happy(lucy) | [
"p0",
"p4",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7218739889426917450141444
% SZS output start Proof for 7218739889426917450141444
1. ! [X0] : ((kind(X0) | ~patient(X0)) <=> (~happy(X0) <~> ~funny(X0))) [input p0]
5. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> (~strong(X0) & rich(X0))) [input p4]
12. ! [X0] : ((~rich(X0) <~> ~kind(X0)) => ... | 0 |
Everyone who is creative is tall or not happy and vice versa.
Everyone who is not humble is not happy or not wise.
If mary is not funny then mary is not old or not patient and vice versa.
Everyone who is not strong is either not kind or funny and vice versa.
If someone is not tall or not wise then mary is brave or not ... | Paul is rich. | entailment | (![X]:(creative(X)<=>(tall(X)|~happy(X))))&
(![X]:(~humble(X)=>(~happy(X)|~wise(X))))&
((~funny(mary))<=>((~old(mary)|~patient(mary))))&
(![X]:(~strong(X)<=>(~kind(X)<~>funny(X))))&
((?[X]:((~tall(X)|~wise(X))))<=>((brave(mary)|~rich(mary))))&
(((creative(susan)<~>old(susan)))<=>((curious(mary)<~>brave(mary))))&
(![X]:... | rich(paul) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6635939700345145760637653
% SZS output start Proof for 6635939700345145760637653
16. ! [X0] : ((funny(X0) | ~rich(X0)) <=> (curious(X0) & ~humble(X0))) [input p15]
17. humble(paul) & ~tall(paul) [input p16]
25. ~rich(paul) [input hypothesis]
75. ! [X0] : (((funny(X0) | ~rich(X0)) | (~curi... | 0 |
If alice is both not old and humble then susan is both tall and generous.
Everyone who is quiet is both humble and not old.
Everyone who is either kind or patient is both kind and not curious and vice versa.
If lucy is either not strong or not tall then john is not funny and vice versa.
Everyone who is both creative an... | Paul is happy. | neutral | (((~old(alice)&humble(alice)))=>((tall(susan)&generous(susan))))&
(![X]:(quiet(X)=>(humble(X)&~old(X))))&
(![X]:((kind(X)<~>patient(X))<=>(kind(X)&~curious(X))))&
(((~strong(lucy)<~>~tall(lucy)))<=>(~funny(john)))&
(![X]:((creative(X)&kind(X))<=>(~old(X)|~strong(X))))&
(![X]:(funny(X)<=>(~wise(X)<~>~strong(X))))&
(![X]... | happy(paul) | [] | null | 0 |
If someone is not humble then someone is either humble or not curious.
Everyone who is not curious is calm or patient and vice versa.
Everyone who is both old and not brave is either creative or not old and vice versa.
Everyone who is both creative and not generous is old and vice versa.
Everyone who is either old or n... | Fred is curious. | contradiction | ((?[X]:(~humble(X)))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>(calm(X)|patient(X))))&
(![X]:((old(X)&~brave(X))<=>(creative(X)<~>~old(X))))&
(![X]:((creative(X)&~generous(X))<=>old(X)))&
(![X]:((old(X)<~>~happy(X))<=>~creative(X)))&
((?[X]:(kind(X)))=>((~happy(fred)&calm(fred))))&
(![X]:(~calm(X)=>(~r... | curious(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2109235022828055437652651
% SZS output start Proof for 2109235022828055437652651
2. ! [X0] : (~curious(X0) <=> (patient(X0) | calm(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & old(X0)) <=> (creative(X0) <~> ~old(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & creative(X0)) <=> old(X0)) [inp... | 0 |
If someone is both not calm and not generous then someone is either not happy or not patient. Everyone who is not generous is patient or wise and vice versa. Everyone who is not curious or funny is either not tall or not generous. If someone is not old then someone is not kind or creative and vice versa. If john is not... | Alice is not tall. | neutral | ((?[X]:((~calm(X)&~generous(X))))=>(?[X]:((~happy(X)<~>~patient(X)))))&
(![X]:(~generous(X)<=>(patient(X)|wise(X))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)<~>~generous(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)|creative(X)))))&
((~curious(john))<=>(?[X]:((~rich(X)|~generous(X)))))&
(![X]:((~patient(X)&funny(X))<=>(... | ~tall(alice) | [] | null | 0 |
If someone is both generous and not wise then someone is happy and vice versa. Everyone who is either not kind or not wise is both not old and rich. If someone is rich then alice is not tall. If alice is either happy or funny then fred is either not creative or not old. If someone is rich or tall then someone is either... | Susan is tall. | contradiction | ((?[X]:((generous(X)&~wise(X))))<=>(?[X]:(happy(X))))&
(![X]:((~kind(X)<~>~wise(X))=>(~old(X)&rich(X))))&
((?[X]:(rich(X)))=>(~tall(alice)))&
(((happy(alice)<~>funny(alice)))=>((~creative(fred)<~>~old(fred))))&
((?[X]:((rich(X)|tall(X))))<=>(?[X]:((strong(X)<~>~rich(X)))))&
(![X]:((wise(X)|strong(X))<=>(~kind(X)&~creat... | tall(susan) | [
"p6",
"p10",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3463555016353642874279834
% SZS output start Proof for 3463555016353642874279834
7. ! [X0] : ((quiet(X0) | humble(X0)) <=> ~creative(X0)) [input p6]
11. ! [X0] : (humble(X0) <=> ~old(X0)) [input p10]
15. ? [X0] : (curious(X0) | patient(X0)) <=> (~old(susan) <~> quiet(susan)) [input p14]
1... | 0 |
If paul is kind then someone is both not rich and not wise and vice versa.
Everyone who is either strong or curious is not funny and vice versa.
Everyone who is not tall is both happy and creative and vice versa.
If someone is both calm and humble then someone is either curious or not happy.
If paul is either strong or... | Paul is happy. | entailment | ((kind(paul))<=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:((strong(X)<~>curious(X))<=>~funny(X)))&
(![X]:(~tall(X)<=>(happy(X)&creative(X))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((curious(X)<~>~happy(X)))))&
(((strong(paul)<~>curious(paul)))<=>(?[X]:((calm(X)|~tall(X)))))&
(![X]:((generous(X)|happy(X))=>(generous(X)<~>~ki... | happy(paul) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8314882615499395116456953
% SZS output start Proof for 8314882615499395116456953
2. ! [X0] : ((strong(X0) <~> curious(X0)) <=> ~funny(X0)) [input p1]
3. ! [X0] : (~tall(X0) <=> (creative(X0) & happy(X0))) [input p2]
5. (strong(paul) <~> curious(paul)) <=> ? [X0] : (~tall(X0) | calm(X0)) [... | 0 |
Everyone who is quiet is generous or not old.
If someone is both not generous and not wise then someone is old or not curious.
If someone is either funny or not old then john is both humble and not wise.
Everyone who is brave is both not tall and calm and vice versa.
Everyone who is not quiet is not patient and vice ve... | John is not tall. | neutral | (![X]:(quiet(X)=>(generous(X)|~old(X))))&
((?[X]:((~generous(X)&~wise(X))))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((funny(X)<~>~old(X))))=>((humble(john)&~wise(john))))&
(![X]:(brave(X)<=>(~tall(X)&calm(X))))&
(![X]:(~quiet(X)<=>~patient(X)))&
(![X]:((~generous(X)<~>~kind(X))=>(strong(X)<~>~rich(X))))&
((?[X]:(~quiet... | ~tall(john) | [] | null | 0 |
Everyone who is either not rich or generous is either kind or not curious and vice versa.
If fred is rich or quiet then someone is both not strong and patient.
Everyone who is not funny or not strong is generous.
Everyone who is either not brave or not rich is not wise.
Everyone who is both not wise and happy is not pa... | Alice is patient. | neutral | (![X]:((~rich(X)<~>generous(X))<=>(kind(X)<~>~curious(X))))&
(((rich(fred)|quiet(fred)))=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((~funny(X)|~strong(X))=>generous(X)))&
(![X]:((~brave(X)<~>~rich(X))=>~wise(X)))&
(![X]:((~wise(X)&happy(X))<=>~patient(X)))&
(![X]:((tall(X)|humble(X))<=>(happy(X)&tall(X))))&
((?[X]:((ol... | patient(alice) | [] | null | 0 |
Everyone who is either not rich or old is not tall or funny and vice versa. If alice is both wise and patient then someone is both not creative and not calm. If mary is brave or not tall then susan is calm or not patient. If paul is both wise and funny then alice is not creative or not rich. Everyone who is strong is b... | John is not brave. | entailment | (![X]:((~rich(X)<~>old(X))<=>(~tall(X)|funny(X))))&
(((wise(alice)&patient(alice)))=>(?[X]:((~creative(X)&~calm(X)))))&
(((brave(mary)|~tall(mary)))=>((calm(susan)|~patient(susan))))&
(((wise(paul)&funny(paul)))=>((~creative(alice)|~rich(alice))))&
(![X]:(strong(X)<=>(~humble(X)&~strong(X))))&
(((kind(alice)|curious(al... | ~brave(john) | [
"p0",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8425725013811423721318358
% SZS output start Proof for 8425725013811423721318358
1. ! [X0] : ((~rich(X0) <~> old(X0)) <=> (funny(X0) | ~tall(X0))) [input p0]
5. ! [X0] : (strong(X0) <=> (~strong(X0) & ~humble(X0))) [input p4]
8. ! [X0] : ((quiet(X0) & kind(X0)) <=> (~tall(X0) | happy(X0))... | 0 |
Everyone who is not happy or not quiet is both curious and tall.
If someone is generous then fred is either quiet or not old and vice versa.
Everyone who is both funny and tall is old or not rich and vice versa.
If mary is both not happy and patient then someone is generous.
Everyone who is not funny or not tall is bot... | Fred is not wise. | neutral | (![X]:((~happy(X)|~quiet(X))=>(curious(X)&tall(X))))&
((?[X]:(generous(X)))<=>((quiet(fred)<~>~old(fred))))&
(![X]:((funny(X)&tall(X))<=>(old(X)|~rich(X))))&
(((~happy(mary)&patient(mary)))=>(?[X]:(generous(X))))&
(![X]:((~funny(X)|~tall(X))<=>(creative(X)&patient(X))))&
((curious(lucy))<=>(?[X]:((calm(X)|generous(X)))... | ~wise(fred) | [] | null | 0 |
If someone is creative or old then lucy is not brave and vice versa. Everyone who is either curious or not old is not old or strong and vice versa. Everyone who is kind or calm is either not happy or brave and vice versa. If someone is both not brave and quiet then someone is kind or brave and vice versa. Everyone who ... | Lucy is not rich. | contradiction | ((?[X]:((creative(X)|old(X))))<=>(~brave(lucy)))&
(![X]:((curious(X)<~>~old(X))<=>(~old(X)|strong(X))))&
(![X]:((kind(X)|calm(X))<=>(~happy(X)<~>brave(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>(?[X]:((kind(X)|brave(X)))))&
(![X]:((kind(X)&~happy(X))<=>(kind(X)|patient(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(calm(fred... | ~rich(lucy) | [
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8727594601204111835921566
% SZS output start Proof for 8727594601204111835921566
7. ! [X0] : ((~wise(X0) | humble(X0)) <=> (~calm(X0) & wise(X0))) [input p6]
11. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~creative(X0) | patient(X0))) [input p10]
14. ! [X0] : ((creative(X0) | funny(X0)) => (... | 0 |
Everyone who is both humble and calm is not wise or not happy and vice versa.
Everyone who is both not funny and calm is not quiet or not tall.
If someone is funny then alice is not humble or generous.
If paul is both brave and calm then paul is not kind.
If someone is kind or not funny then someone is rich.
Everyone w... | John is happy. | entailment | (![X]:((humble(X)&calm(X))<=>(~wise(X)|~happy(X))))&
(![X]:((~funny(X)&calm(X))=>(~quiet(X)|~tall(X))))&
((?[X]:(funny(X)))=>((~humble(alice)|generous(alice))))&
(((brave(paul)&calm(paul)))=>(~kind(paul)))&
((?[X]:((kind(X)|~funny(X))))=>(?[X]:(rich(X))))&
(![X]:((funny(X)&calm(X))=>(strong(X)|patient(X))))&
(![X]:((ri... | happy(john) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1200874194043014586843190
% SZS output start Proof for 1200874194043014586843190
1. ! [X0] : ((calm(X0) & humble(X0)) <=> (~happy(X0) | ~wise(X0))) [input p0]
14. ! [X0] : ((calm(X0) | ~old(X0)) => ~calm(X0)) [input p13]
25. ~happy(john) [input hypothesis]
39. ! [X0] : (~calm(X0) | (~calm... | 0 |
Everyone who is both not humble and not creative is kind and vice versa.
If mary is both curious and not kind then fred is not patient and vice versa.
Everyone who is not tall or not humble is both not generous and creative.
If someone is not funny then alice is either not brave or kind and vice versa.
Everyone who is ... | John is not curious. | neutral | (![X]:((~humble(X)&~creative(X))<=>kind(X)))&
(((curious(mary)&~kind(mary)))<=>(~patient(fred)))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&creative(X))))&
((?[X]:(~funny(X)))<=>((~brave(alice)<~>kind(alice))))&
(![X]:((~patient(X)|~old(X))<=>(~kind(X)|strong(X))))&
(![X]:((brave(X)<~>patient(X))=>(kind(X)&patient(X)... | ~curious(john) | [] | null | 0 |
Everyone who is both not wise and not generous is not generous and vice versa.
Everyone who is either curious or not old is not rich or not generous and vice versa.
Everyone who is either quiet or generous is both tall and old and vice versa.
If someone is not kind or not generous then fred is either kind or brave.
If ... | Mary is tall. | neutral | (![X]:((~wise(X)&~generous(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~old(X))<=>(~rich(X)|~generous(X))))&
(![X]:((quiet(X)<~>generous(X))<=>(tall(X)&old(X))))&
((?[X]:((~kind(X)|~generous(X))))=>((kind(fred)<~>brave(fred))))&
((~funny(susan))<=>((old(mary)&~tall(mary))))&
(![X]:((~generous(X)&~tall(X))<=>(~kind(X)|qu... | tall(mary) | [] | null | 0 |
Everyone who is not curious or not wise is rich and vice versa. If lucy is either wise or not creative then alice is either not strong or calm. Everyone who is either not old or not happy is both patient and not funny and vice versa. Everyone who is happy or humble is both not quiet and not happy. If someone is both no... | Susan is old. | neutral | (![X]:((~curious(X)|~wise(X))<=>rich(X)))&
(((wise(lucy)<~>~creative(lucy)))=>((~strong(alice)<~>calm(alice))))&
(![X]:((~old(X)<~>~happy(X))<=>(patient(X)&~funny(X))))&
(![X]:((happy(X)|humble(X))=>(~quiet(X)&~happy(X))))&
((?[X]:((~happy(X)&tall(X))))=>(?[X]:(happy(X))))&
((?[X]:(rich(X)))=>(?[X]:((~humble(X)&strong(... | old(susan) | [] | null | 0 |
If someone is not rich then paul is humble or generous and vice versa.
If alice is either funny or calm then mary is both strong and rich and vice versa.
Everyone who is rich or not funny is strong.
If alice is not curious then someone is not patient and vice versa.
If someone is both humble and kind then alice is both... | Mary is patient. | entailment | ((?[X]:(~rich(X)))<=>((humble(paul)|generous(paul))))&
(((funny(alice)<~>calm(alice)))<=>((strong(mary)&rich(mary))))&
(![X]:((rich(X)|~funny(X))=>strong(X)))&
((~curious(alice))<=>(?[X]:(~patient(X))))&
((?[X]:((humble(X)&kind(X))))=>((generous(alice)&~funny(alice))))&
((?[X]:((~creative(X)<~>kind(X))))<=>((generous(a... | patient(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3077501893679705061616946
% SZS output start Proof for 3077501893679705061616946
10. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> rich(X0)) [input p9]
25. ~patient(mary) [input hypothesis]
58. ! [X0] : ((((patient(X0) | ~rich(X0)) & (~patient(X0) | rich(X0))) | ~rich(X0)) & (rich(X0) | ((ric... | 0 |
Everyone who is funny is happy or brave and vice versa.
If susan is either creative or tall then fred is not strong.
If fred is quiet or not rich then susan is not happy or not old.
Everyone who is rich or not wise is not brave.
Everyone who is not strong or not generous is strong.
If fred is either not old or kind the... | Susan is not rich. | neutral | (![X]:(funny(X)<=>(happy(X)|brave(X))))&
(((creative(susan)<~>tall(susan)))=>(~strong(fred)))&
(((quiet(fred)|~rich(fred)))=>((~happy(susan)|~old(susan))))&
(![X]:((rich(X)|~wise(X))=>~brave(X)))&
(![X]:((~strong(X)|~generous(X))=>strong(X)))&
(((~old(fred)<~>kind(fred)))<=>(?[X]:(strong(X))))&
(![X]:(~brave(X)<=>(happ... | ~rich(susan) | [] | null | 0 |
Everyone who is both not patient and not tall is not patient or not humble.
If fred is both not quiet and not kind then someone is either curious or not calm and vice versa.
Everyone who is not rich is either not tall or rich and vice versa.
Everyone who is either brave or not rich is either not happy or not strong.
Ev... | Mary is not brave. | contradiction | (![X]:((~patient(X)&~tall(X))=>(~patient(X)|~humble(X))))&
(((~quiet(fred)&~kind(fred)))<=>(?[X]:((curious(X)<~>~calm(X)))))&
(![X]:(~rich(X)<=>(~tall(X)<~>rich(X))))&
(![X]:((brave(X)<~>~rich(X))=>(~happy(X)<~>~strong(X))))&
(![X]:((creative(X)<~>~old(X))=>(brave(X)&~wise(X))))&
(((~creative(john)<~>~wise(john)))<=>(?... | ~brave(mary) | [
"p2",
"p4",
"p5",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7876986714625072154894092
% SZS output start Proof for 7876986714625072154894092
3. ! [X0] : (~rich(X0) <=> (~tall(X0) <~> rich(X0))) [input p2]
5. ! [X0] : ((creative(X0) <~> ~old(X0)) => (~wise(X0) & brave(X0))) [input p4]
6. (~creative(john) <~> ~wise(john)) <=> ? [X0] : (creative(X0) ... | 0 |
Everyone who is both curious and not quiet is wise and vice versa.
If paul is not curious or old then someone is not tall or happy.
Everyone who is not generous is either not creative or not funny and vice versa.
Everyone who is generous or happy is tall and vice versa.
If someone is either not tall or not creative the... | Lucy is curious. | contradiction | (![X]:((curious(X)&~quiet(X))<=>wise(X)))&
(((~curious(paul)|old(paul)))=>(?[X]:((~tall(X)|happy(X)))))&
(![X]:(~generous(X)<=>(~creative(X)<~>~funny(X))))&
(![X]:((generous(X)|happy(X))<=>tall(X)))&
((?[X]:((~tall(X)<~>~creative(X))))=>((rich(mary)&~wise(mary))))&
(![X]:(~humble(X)<=>(happy(X)<~>strong(X))))&
((?[X]:(... | curious(lucy) | [
"p0",
"p7",
"p10",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7321960362319640436808809
% SZS output start Proof for 7321960362319640436808809
1. ! [X0] : ((~quiet(X0) & curious(X0)) <=> wise(X0)) [input p0]
8. ! [X0] : ((~curious(X0) & curious(X0)) <=> (quiet(X0) & rich(X0))) [input p7]
11. ! [X0] : ((~humble(X0) | kind(X0)) <=> rich(X0)) [input p1... | 0 |
If someone is either humble or not wise then paul is both wise and not wise and vice versa. If lucy is both kind and old then paul is not strong and vice versa. Everyone who is either calm or wise is calm and vice versa. Everyone who is happy or funny is wise. If mary is not humble then someone is not brave. If someone... | Susan is not curious. | entailment | ((?[X]:((humble(X)<~>~wise(X))))<=>((wise(paul)&~wise(paul))))&
(((kind(lucy)&old(lucy)))<=>(~strong(paul)))&
(![X]:((calm(X)<~>wise(X))<=>calm(X)))&
(![X]:((happy(X)|funny(X))=>wise(X)))&
((~humble(mary))=>(?[X]:(~brave(X))))&
((?[X]:(funny(X)))<=>(?[X]:((curious(X)|calm(X)))))&
(![X]:(calm(X)<=>(curious(X)&rich(X))))... | ~curious(susan) | [
"p2",
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8156343827296474251237823
% SZS output start Proof for 8156343827296474251237823
3. ! [X0] : ((calm(X0) <~> wise(X0)) <=> calm(X0)) [input p2]
4. ! [X0] : ((funny(X0) | happy(X0)) => wise(X0)) [input p3]
6. ? [X0] : funny(X0) <=> ? [X0] : (calm(X0) | curious(X0)) [input p5]
22. curious(su... | 0 |
If susan is either not happy or not calm then fred is not brave.
If lucy is both patient and not patient then alice is either calm or strong.
Everyone who is kind or creative is both generous and not tall and vice versa.
Everyone who is either not generous or happy is quiet or not brave.
Everyone who is not rich is bot... | Lucy is not tall. | entailment | (((~happy(susan)<~>~calm(susan)))=>(~brave(fred)))&
(((patient(lucy)&~patient(lucy)))=>((calm(alice)<~>strong(alice))))&
(![X]:((kind(X)|creative(X))<=>(generous(X)&~tall(X))))&
(![X]:((~generous(X)<~>happy(X))=>(quiet(X)|~brave(X))))&
(![X]:(~rich(X)<=>(strong(X)&~rich(X))))&
((?[X]:((happy(X)&patient(X))))=>(?[X]:(hu... | ~tall(lucy) | [
"p2",
"p4",
"p10",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8850819574399570257757665
% SZS output start Proof for 8850819574399570257757665
3. ! [X0] : ((creative(X0) | kind(X0)) <=> (~tall(X0) & generous(X0))) [input p2]
5. ! [X0] : (~rich(X0) <=> (~rich(X0) & strong(X0))) [input p4]
11. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~creative(X0) | br... | 0 |
Everyone who is either not rich or not generous is not quiet. If someone is generous then mary is not curious. Everyone who is either not calm or rich is both not calm and not funny. Everyone who is not calm is either not wise or not rich. If someone is tall then paul is not funny or creative and vice versa. Everyone w... | Paul is not funny. | neutral | (![X]:((~rich(X)<~>~generous(X))=>~quiet(X)))&
((?[X]:(generous(X)))=>(~curious(mary)))&
(![X]:((~calm(X)<~>rich(X))=>(~calm(X)&~funny(X))))&
(![X]:(~calm(X)=>(~wise(X)<~>~rich(X))))&
((?[X]:(tall(X)))<=>((~funny(paul)|creative(paul))))&
(![X]:(~funny(X)=>(brave(X)<~>rich(X))))&
((?[X]:((humble(X)|~humble(X))))=>((rich... | ~funny(paul) | [] | null | 0 |
If someone is old or wise then alice is calm. Everyone who is either not kind or not happy is either not quiet or old and vice versa. If someone is not old then susan is not funny. If mary is patient then someone is not calm and vice versa. If john is either not happy or rich then someone is old or not strong and vice ... | Susan is kind. | contradiction | ((?[X]:((old(X)|wise(X))))=>(calm(alice)))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X... | kind(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1208553261166562904835975
% SZS output start Proof for 1208553261166562904835975
1. ? [X0] : (wise(X0) | old(X0)) => calm(alice) [input p0]
2. ! [X0] : ((~kind(X0) <~> ~happy(X0)) <=> (~quiet(X0) <~> old(X0))) [input p1]
3. ? [X0] : ~old(X0) => ~funny(susan) [input p2]
6. ! [X0] : ((~happ... | 0 |
If lucy is either patient or rich then someone is not happy or not creative.
Everyone who is both calm and not happy is both not funny and happy and vice versa.
If paul is both not creative and patient then someone is not brave.
If fred is not calm or not tall then susan is not old or not brave and vice versa.
Everyone... | Fred is not brave. | entailment | (((patient(lucy)<~>rich(lucy)))=>(?[X]:((~happy(X)|~creative(X)))))&
(![X]:((calm(X)&~happy(X))<=>(~funny(X)&happy(X))))&
(((~creative(paul)&patient(paul)))=>(?[X]:(~brave(X))))&
(((~calm(fred)|~tall(fred)))<=>((~old(susan)|~brave(susan))))&
(![X]:((~calm(X)<~>~funny(X))=>(~generous(X)|funny(X))))&
(![X]:((~curious(X)|... | ~brave(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1946512045165075663543771
% SZS output start Proof for 1946512045165075663543771
8. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (generous(X0) | brave(X0))) [input p7]
23. brave(fred) [input hypothesis]
50. ! [X0] : (((generous(X0) & ~brave(X0)) | (~generous(X0) & ~brave(X0))) & ((generous(X... | 0 |
Everyone who is not wise or curious is kind.
Everyone who is not humble or curious is generous.
Everyone who is not quiet is not strong and vice versa.
Everyone who is not happy is both not kind and not calm and vice versa.
If john is not curious or not humble then someone is both calm and not quiet.
Everyone who is no... | Susan is curious. | entailment | (![X]:((~wise(X)|curious(X))=>kind(X)))&
(![X]:((~humble(X)|curious(X))=>generous(X)))&
(![X]:(~quiet(X)<=>~strong(X)))&
(![X]:(~happy(X)<=>(~kind(X)&~calm(X))))&
(((~curious(john)|~humble(john)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~calm(X)|funny(X))<=>~funny(X)))&
(((~creative(paul)|funny(paul)))=>(?[X]:((~calm(X... | curious(susan) | [
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4102543481180468852673012
% SZS output start Proof for 4102543481180468852673012
6. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((old(X0) | ~calm(X0)) => (~patient(X0) <~> tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) | patient(X0)) => (funny(X0) | patient(X0)... | 0 |
Everyone who is either not rich or rich is both not happy and tall.
Everyone who is either old or brave is not tall or not calm and vice versa.
If fred is either not strong or not curious then paul is either not brave or not old and vice versa.
Everyone who is both not humble and not patient is either rich or not stron... | John is not kind. | entailment | (![X]:((~rich(X)<~>rich(X))=>(~happy(X)&tall(X))))&
(![X]:((old(X)<~>brave(X))<=>(~tall(X)|~calm(X))))&
(((~strong(fred)<~>~curious(fred)))<=>((~brave(paul)<~>~old(paul))))&
(![X]:((~humble(X)&~patient(X))=>(rich(X)<~>~strong(X))))&
((~rich(susan))<=>((generous(fred)<~>~calm(fred))))&
(![X]:((~humble(X)|~brave(X))=>~ca... | ~kind(john) | [
"p0",
"p1",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2352655126471309108916738
% SZS output start Proof for 2352655126471309108916738
1. ! [X0] : ((~rich(X0) <~> rich(X0)) => (tall(X0) & ~happy(X0))) [input p0]
2. ! [X0] : ((old(X0) <~> brave(X0)) <=> (~calm(X0) | ~tall(X0))) [input p1]
6. ! [X0] : ((~brave(X0) | ~humble(X0)) => ~calm(X0)) ... | 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... | John is not quiet. | entailment | (![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... | ~quiet(john) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 195274082981120003518341
% SZS output start Proof for 195274082981120003518341
2. ! [X0] : (~old(X0) <=> (quiet(X0) | ~generous(X0))) [input p1]
13. ! [X0] : ((brave(X0) | ~brave(X0)) => (wise(X0) & old(X0))) [input p12]
23. quiet(john) [input hypothesis]
33. ! [X0] : ((wise(X0) & old(X0)... | 0 |
Everyone who is creative or calm is patient. Everyone who is humble or not humble is not patient or funny. If someone is patient or not strong then someone is generous and vice versa. Everyone who is curious is not humble or not generous. If lucy is not wise or curious then someone is both not strong and creative. If s... | Paul is old. | neutral | (![X]:((creative(X)|calm(X))=>patient(X)))&
(![X]:((humble(X)|~humble(X))=>(~patient(X)|funny(X))))&
((?[X]:((patient(X)|~strong(X))))<=>(?[X]:(generous(X))))&
(![X]:(curious(X)=>(~humble(X)|~generous(X))))&
(((~wise(lucy)|curious(lucy)))=>(?[X]:((~strong(X)&creative(X)))))&
((?[X]:((~patient(X)<~>~humble(X))))=>(?[X]:... | old(paul) | [] | null | 0 |
If someone is either not brave or calm then someone is funny or strong and vice versa.
Everyone who is not kind is not happy and vice versa.
Everyone who is either not wise or not old is happy or kind.
Everyone who is creative is both not creative and not happy.
Everyone who is humble or not wise is not curious or stro... | Susan is not strong. | neutral | ((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X))))&
(![X]:(creative(X)=>(~creative(X)&~happy(X))))&
(![X]:((humble(X)|~wise(X))<=>(~curious(X)|strong(X))))&
(![X]:((~kind(X)|~tall(X))<=>(~creative(X)<~>~happy(X))))&
(![X]:(~... | ~strong(susan) | [] | null | 0 |
If mary is not brave then mary is not strong or generous and vice versa. Everyone who is both tall and brave is tall or not quiet. If alice is either generous or kind then susan is happy. Everyone who is either quiet or not curious is both calm and kind and vice versa. If someone is patient then fred is generous or fun... | Paul is not strong. | neutral | ((~brave(mary))<=>((~strong(mary)|generous(mary))))&
(![X]:((tall(X)&brave(X))=>(tall(X)|~quiet(X))))&
(((generous(alice)<~>kind(alice)))=>(happy(susan)))&
(![X]:((quiet(X)<~>~curious(X))<=>(calm(X)&kind(X))))&
((?[X]:(patient(X)))=>((generous(fred)|funny(fred))))&
(![X]:(creative(X)<=>(~kind(X)|generous(X))))&
(![X]:(... | ~strong(paul) | [] | null | 0 |
Everyone who is both creative and not rich is either quiet or not funny and vice versa.
Everyone who is humble is not wise.
Everyone who is quiet or wise is wise and vice versa.
Everyone who is either quiet or old is not tall.
Everyone who is happy is old and vice versa.
Everyone who is both creative and tall is not ge... | John is not generous. | neutral | (![X]:((creative(X)&~rich(X))<=>(quiet(X)<~>~funny(X))))&
(![X]:(humble(X)=>~wise(X)))&
(![X]:((quiet(X)|wise(X))<=>wise(X)))&
(![X]:((quiet(X)<~>old(X))=>~tall(X)))&
(![X]:(happy(X)<=>old(X)))&
(![X]:((creative(X)&tall(X))<=>~generous(X)))&
((?[X]:((curious(X)<~>~kind(X))))=>(~patient(alice)))&
((?[X]:((funny(X)|~wise... | ~generous(john) | [] | null | 0 |
Everyone who is either wise or rich is not quiet or patient and vice versa.
Everyone who is both not generous and not patient is both humble and happy.
Everyone who is not tall or not brave is either not happy or not curious.
If someone is both old and humble then lucy is not creative and vice versa.
If paul is either ... | Paul is brave. | contradiction | (![X]:((wise(X)<~>rich(X))<=>(~quiet(X)|patient(X))))&
(![X]:((~generous(X)&~patient(X))=>(humble(X)&happy(X))))&
(![X]:((~tall(X)|~brave(X))=>(~happy(X)<~>~curious(X))))&
((?[X]:((old(X)&humble(X))))<=>(~creative(lucy)))&
(((creative(paul)<~>brave(paul)))<=>(~strong(john)))&
(![X]:((~curious(X)&~generous(X))<=>(humble... | brave(paul) | [
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1089676358432147808784947
% SZS output start Proof for 1089676358432147808784947
5. (creative(paul) <~> brave(paul)) <=> ~strong(john) [input p4]
6. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> (rich(X0) | humble(X0))) [input p5]
9. ! [X0] : ((rich(X0) | ~kind(X0)) => (generous(X0) & stro... | 0 |
Everyone who is creative is both not quiet and not strong and vice versa.
Everyone who is not strong or tall is either not rich or not calm and vice versa.
If john is not generous then mary is either creative or not quiet and vice versa.
Everyone who is either not kind or old is either rich or not kind.
Everyone who is... | Mary is not kind. | neutral | (![X]:(creative(X)<=>(~quiet(X)&~strong(X))))&
(![X]:((~strong(X)|tall(X))<=>(~rich(X)<~>~calm(X))))&
((~generous(john))<=>((creative(mary)<~>~quiet(mary))))&
(![X]:((~kind(X)<~>old(X))=>(rich(X)<~>~kind(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~funny(X)|calm(X))))&
(((rich(fred)|wise(fred)))<=>((~tall(mary)&~calm(mary)... | ~kind(mary) | [] | null | 0 |
Everyone who is old or wise is both funny and not creative and vice versa.
If someone is both strong and wise then someone is either not quiet or quiet.
Everyone who is strong is happy or not rich.
If someone is humble or not old then fred is old and vice versa.
Everyone who is calm or not creative is either not humble... | Lucy is not humble. | contradiction | (![X]:((old(X)|wise(X))<=>(funny(X)&~creative(X))))&
((?[X]:((strong(X)&wise(X))))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:(strong(X)=>(happy(X)|~rich(X))))&
((?[X]:((humble(X)|~old(X))))<=>(old(fred)))&
(![X]:((calm(X)|~creative(X))=>(~humble(X)<~>calm(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>~pa... | ~humble(lucy) | [
"p0",
"p4",
"p7",
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2403697331315853618472331
% SZS output start Proof for 2403697331315853618472331
1. ! [X0] : ((wise(X0) | old(X0)) <=> (~creative(X0) & funny(X0))) [input p0]
5. ! [X0] : ((~creative(X0) | calm(X0)) => (~humble(X0) <~> calm(X0))) [input p4]
8. ! [X0] : ((old(X0) & happy(X0)) <=> (calm(X0)... | 0 |
Everyone who is wise is both not quiet and not wise and vice versa. If someone is brave or kind then john is either not patient or not quiet and vice versa. Everyone who is not creative is both not funny and not old and vice versa. If mary is not old then someone is both not strong and patient. Everyone who is not crea... | Alice is old. | neutral | (![X]:(wise(X)<=>(~quiet(X)&~wise(X))))&
((?[X]:((brave(X)|kind(X))))<=>((~patient(john)<~>~quiet(john))))&
(![X]:(~creative(X)<=>(~funny(X)&~old(X))))&
((~old(mary))=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((~creative(X)|happy(X))<=>(tall(X)<~>~quiet(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:((~brave(X)|~kind(X))))... | old(alice) | [] | null | 0 |
If fred is both calm and not calm then lucy is both humble and old and vice versa.
If lucy is both not curious and wise then paul is either not tall or not strong and vice versa.
Everyone who is both not patient and not strong is either happy or strong.
If john is quiet then fred is either patient or not strong.
If som... | Lucy is old. | entailment | (((calm(fred)&~calm(fred)))<=>((humble(lucy)&old(lucy))))&
(((~curious(lucy)&wise(lucy)))<=>((~tall(paul)<~>~strong(paul))))&
(![X]:((~patient(X)&~strong(X))=>(happy(X)<~>strong(X))))&
((quiet(john))=>((patient(fred)<~>~strong(fred))))&
((?[X]:(~curious(X)))=>(?[X]:((old(X)|strong(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((c... | old(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8740893776957523225742293
% SZS output start Proof for 8740893776957523225742293
14. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> (old(X0) & ~wise(X0))) [input p13]
24. ~old(lucy) [input hypothesis]
61. ! [X0] : ((((~rich(X0) | rich(X0)) & (rich(X0) | ~rich(X0))) | (~old(X0) | wise(X0))) & ((ol... | 0 |
If susan is either not rich or old then lucy is both not curious and not kind. If someone is old or brave then fred is not patient and vice versa. Everyone who is either brave or not generous is quiet or old. Everyone who is not patient or humble is not tall and vice versa. If someone is not happy then mary is not happ... | John is not kind. | contradiction | (((~rich(susan)<~>old(susan)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~h... | ~kind(john) | [
"p1",
"p2",
"p3",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3953611135568210607747448
% SZS output start Proof for 3953611135568210607747448
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => (old(X0) | quiet(X0))) [input p2]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p... | 0 |
Everyone who is humble or creative is not old and vice versa.
Everyone who is not creative is brave.
Everyone who is not humble or not creative is both not kind and humble and vice versa.
Everyone who is either not tall or happy is both happy and rich and vice versa.
Everyone who is both not happy and generous is eithe... | Fred is wise. | entailment | (![X]:((humble(X)|creative(X))<=>~old(X)))&
(![X]:(~creative(X)=>brave(X)))&
(![X]:((~humble(X)|~creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(happy(X)&rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(~strong(X)<~>~calm(X))))&
(((generous(mary)<~>~old(mary)))<=>((humble(mary)&~quiet(mary))))&
((~c... | wise(fred) | [
"p2",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7758225002945024454786507
% SZS output start Proof for 7758225002945024454786507
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (humble(X0) & ~kind(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> happy(X0)) <=> (rich(X0) & happy(X0))) [input p3]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) <=> (t... | 0 |
Everyone who is either not happy or not old is not quiet or tall. Everyone who is either calm or old is not brave or not rich and vice versa. If susan is either not generous or old then fred is generous and vice versa. If someone is either not old or brave then someone is either not wise or not humble. Everyone who is ... | Mary is not kind. | contradiction | (![X]:((~happy(X)<~>~old(X))=>(~quiet(X)|tall(X))))&
(![X]:((calm(X)<~>old(X))<=>(~brave(X)|~rich(X))))&
(((~generous(susan)<~>old(susan)))<=>(generous(fred)))&
((?[X]:((~old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((~rich(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
(![X]:((creative(X)&~rich(X))<=... | ~kind(mary) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5907170284390567838133798
% SZS output start Proof for 5907170284390567838133798
11. ! [X0] : ((~generous(X0) & generous(X0)) <=> ~quiet(X0)) [input p10]
14. ? [X0] : (~kind(X0) | ~tall(X0)) <=> (creative(susan) & ~quiet(susan)) [input p13]
22. ~kind(mary) [input hypothesis]
54. ! [X0] : ... | 0 |
If lucy is old or curious then lucy is either not wise or humble and vice versa. If someone is curious then someone is either not tall or tall and vice versa. If someone is not patient then someone is not old or curious. Everyone who is either rich or quiet is either not humble or not happy and vice versa. If someone i... | John is not humble. | contradiction | (((old(lucy)|curious(lucy)))<=>((~wise(lucy)<~>humble(lucy))))&
((?[X]:(curious(X)))<=>(?[X]:((~tall(X)<~>tall(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((~old(X)|curious(X)))))&
(![X]:((rich(X)<~>quiet(X))<=>(~humble(X)<~>~happy(X))))&
((?[X]:((~generous(X)|happy(X))))=>(kind(mary)))&
(((~tall(paul)&generous(paul)))<=>(str... | ~humble(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5007088485143619204786154
% SZS output start Proof for 5007088485143619204786154
21. quiet(john) & humble(john) [input p20]
25. ~humble(john) [input hypothesis]
138. humble(john) [cnf transformation 21]
144. ~humble(john) [cnf transformation 25]
316. $false [subsumption resolution 144,138... | 0 |
Everyone who is both creative and happy is both tall and humble and vice versa.
If susan is not kind or not patient then someone is either not quiet or happy and vice versa.
If paul is not quiet then someone is not brave or not generous.
If someone is either not strong or not rich then someone is either tall or not cur... | Susan is not curious. | contradiction | (![X]:((creative(X)&happy(X))<=>(tall(X)&humble(X))))&
(((~kind(susan)|~patient(susan)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
((~quiet(paul))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:(~happy(X)<=>(~kind(X)<~>funny(X))))&
(((patient(john)&~quiet(john... | ~curious(susan) | [
"p0",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4549814141978429114378168
% SZS output start Proof for 4549814141978429114378168
1. ! [X0] : ((happy(X0) & creative(X0)) <=> (humble(X0) & tall(X0))) [input p0]
8. ! [X0] : ((~curious(X0) | ~happy(X0)) => (brave(X0) & tall(X0))) [input p7]
10. ! [X0] : (~patient(X0) <=> (creative(X0) & ~s... | 0 |
Everyone who is kind or not funny is both strong and curious.
If lucy is not generous then someone is not rich and vice versa.
If someone is both humble and not calm then fred is both not quiet and not calm.
If someone is not humble or brave then someone is both wise and strong and vice versa.
Everyone who is not curio... | Mary is not strong. | contradiction | (![X]:((kind(X)|~funny(X))=>(strong(X)&curious(X))))&
((~generous(lucy))<=>(?[X]:(~rich(X))))&
((?[X]:((humble(X)&~calm(X))))=>((~quiet(fred)&~calm(fred))))&
((?[X]:((~humble(X)|brave(X))))<=>(?[X]:((wise(X)&strong(X)))))&
(![X]:(~curious(X)<=>(humble(X)&calm(X))))&
(![X]:((old(X)<~>creative(X))<=>(~kind(X)&~curious(X)... | ~strong(mary) | [
"p0",
"p4",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4430963069377863687493586
% SZS output start Proof for 4430963069377863687493586
1. ! [X0] : ((~funny(X0) | kind(X0)) => (curious(X0) & strong(X0))) [input p0]
5. ! [X0] : (~curious(X0) <=> (calm(X0) & humble(X0))) [input p4]
7. ! [X0] : (strong(X0) <=> humble(X0)) [input p6]
17. ~funny(m... | 0 |
If paul is both not patient and creative then susan is funny.
Everyone who is rich or happy is either brave or not happy and vice versa.
Everyone who is both not humble and quiet is either patient or old and vice versa.
If paul is humble or not patient then someone is old or quiet.
Everyone who is both not kind and fun... | Paul is creative. | contradiction | (((~patient(paul)&creative(paul)))=>(funny(susan)))&
(![X]:((rich(X)|happy(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~humble(X)&quiet(X))<=>(patient(X)<~>old(X))))&
(((humble(paul)|~patient(paul)))=>(?[X]:((old(X)|quiet(X)))))&
(![X]:((~kind(X)&funny(X))=>quiet(X)))&
(((~calm(alice)<~>generous(alice)))=>((~strong(susan)&... | creative(paul) | [
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1784794288477314655552600
% SZS output start Proof for 1784794288477314655552600
2. ! [X0] : ((happy(X0) | rich(X0)) <=> (brave(X0) <~> ~happy(X0))) [input p1]
8. ! [X0] : ((brave(X0) <~> creative(X0)) => (old(X0) & happy(X0))) [input p7]
11. ! [X0] : (brave(X0) => (~generous(X0) & ~creat... | 0 |
Everyone who is tall or not humble is rich and vice versa. Everyone who is either generous or calm is not funny. Everyone who is not funny or strong is either kind or wise. Everyone who is brave or not humble is both brave and not rich and vice versa. Everyone who is rich is not creative. If mary is either brave or hum... | Mary is old. | neutral | (![X]:((tall(X)|~humble(X))<=>rich(X)))&
(![X]:((generous(X)<~>calm(X))=>~funny(X)))&
(![X]:((~funny(X)|strong(X))=>(kind(X)<~>wise(X))))&
(![X]:((brave(X)|~humble(X))<=>(brave(X)&~rich(X))))&
(![X]:(rich(X)=>~creative(X)))&
(((brave(mary)<~>humble(mary)))<=>((calm(john)&~old(john))))&
(![X]:((quiet(X)<~>~happy(X))<=>h... | old(mary) | [] | null | 0 |
Everyone who is old is curious and vice versa.
If lucy is not quiet then someone is curious or quiet and vice versa.
Everyone who is either curious or patient is both not happy and creative and vice versa.
If someone is either calm or funny then someone is quiet or not humble and vice versa.
If lucy is calm then paul i... | Lucy is patient. | neutral | (![X]:(old(X)<=>curious(X)))&
((~quiet(lucy))<=>(?[X]:((curious(X)|quiet(X)))))&
(![X]:((curious(X)<~>patient(X))<=>(~happy(X)&creative(X))))&
((?[X]:((calm(X)<~>funny(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
((calm(lucy))=>(wise(paul)))&
(![X]:((~humble(X)|~rich(X))=>(~funny(X)|funny(X))))&
((quiet(paul))=>(?[X]:((tal... | patient(lucy) | [] | null | 0 |
Everyone who is either rich or wise is quiet or not old.
Everyone who is not funny or not rich is happy and vice versa.
Everyone who is strong or not patient is either humble or tall and vice versa.
If john is happy or not strong then someone is generous or funny.
If fred is strong then paul is not funny and vice versa... | Fred is not quiet. | contradiction | (![X]:((rich(X)<~>wise(X))=>(quiet(X)|~old(X))))&
(![X]:((~funny(X)|~rich(X))<=>happy(X)))&
(![X]:((strong(X)|~patient(X))<=>(humble(X)<~>tall(X))))&
(((happy(john)|~strong(john)))=>(?[X]:((generous(X)|funny(X)))))&
((strong(fred))<=>(~funny(paul)))&
((?[X]:((~humble(X)<~>~tall(X))))<=>(~humble(fred)))&
((rich(fred))=>... | ~quiet(fred) | [
"p2",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 266280317729531905880579
% SZS output start Proof for 266280317729531905880579
3. ! [X0] : ((~patient(X0) | strong(X0)) <=> (humble(X0) <~> tall(X0))) [input p2]
6. ? [X0] : (~humble(X0) <~> ~tall(X0)) <=> ~humble(fred) [input p5]
14. ! [X0] : ((calm(X0) & humble(X0)) <=> (~quiet(X0) | ol... | 0 |
Everyone who is either not happy or not old is not quiet or tall. Everyone who is either calm or old is not brave or not rich and vice versa. If susan is either not generous or old then fred is generous and vice versa. If someone is either not old or brave then someone is either not wise or not humble. Everyone who is ... | Paul is calm. | contradiction | (![X]:((~happy(X)<~>~old(X))=>(~quiet(X)|tall(X))))&
(![X]:((calm(X)<~>old(X))<=>(~brave(X)|~rich(X))))&
(((~generous(susan)<~>old(susan)))<=>(generous(fred)))&
((?[X]:((~old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((~rich(X)<~>creative(X))<=>(creative(X)<~>tall(X))))&
(![X]:((creative(X)&~rich(X))<=... | calm(paul) | [
"p4",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1990084719858097246673414
% SZS output start Proof for 1990084719858097246673414
5. ! [X0] : ((~rich(X0) <~> creative(X0)) <=> (creative(X0) <~> tall(X0))) [input p4]
9. ! [X0] : (~rich(X0) => (~creative(X0) <~> rich(X0))) [input p8]
11. ! [X0] : ((~generous(X0) & generous(X0)) <=> ~quiet... | 0 |
If paul is both not rich and not patient then john is either not humble or humble and vice versa.
If mary is old then someone is either tall or not calm.
Everyone who is either not wise or funny is either not strong or not kind.
If lucy is not old or not patient then someone is not creative.
If someone is not wise then... | John is patient. | neutral | (((~rich(paul)&~patient(paul)))<=>((~humble(john)<~>humble(john))))&
((old(mary))=>(?[X]:((tall(X)<~>~calm(X)))))&
(![X]:((~wise(X)<~>funny(X))=>(~strong(X)<~>~kind(X))))&
(((~old(lucy)|~patient(lucy)))=>(?[X]:(~creative(X))))&
((?[X]:(~wise(X)))=>((kind(mary)<~>rich(mary))))&
(![X]:((generous(X)|~curious(X))<=>(genero... | patient(john) | [] | null | 0 |
If john is strong or not happy then someone is either tall or not brave and vice versa.
If someone is happy or not rich then fred is not curious or not happy and vice versa.
If mary is tall or not old then someone is both wise and not creative.
Everyone who is not patient is both generous and not strong and vice versa.... | John is funny. | neutral | (((strong(john)|~happy(john)))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:((happy(X)|~rich(X))))<=>((~curious(fred)|~happy(fred))))&
(((tall(mary)|~old(mary)))=>(?[X]:((wise(X)&~creative(X)))))&
(![X]:(~patient(X)<=>(generous(X)&~strong(X))))&
(![X]:((~rich(X)<~>old(X))<=>(brave(X)|~curious(X))))&
(((~wise(paul)<~>~gene... | funny(john) | [] | null | 0 |
Everyone who is both not humble and not curious is strong or not wise.
Everyone who is either happy or not humble is not funny and vice versa.
If someone is not funny or humble then alice is quiet.
If mary is not funny then mary is not humble.
Everyone who is not calm is strong or wise.
If john is both not wise and wis... | Fred is not funny. | entailment | (![X]:((~humble(X)&~curious(X))=>(strong(X)|~wise(X))))&
(![X]:((happy(X)<~>~humble(X))<=>~funny(X)))&
((?[X]:((~funny(X)|humble(X))))=>(quiet(alice)))&
((~funny(mary))=>(~humble(mary)))&
(![X]:(~calm(X)=>(strong(X)|wise(X))))&
(((~wise(john)&wise(john)))=>(~happy(alice)))&
(![X]:((~rich(X)<~>calm(X))=>quiet(X)))&
(![X... | ~funny(fred) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7860789988603605964796360
% SZS output start Proof for 7860789988603605964796360
15. ! [X0] : ((old(X0) & rich(X0)) <=> (funny(X0) | ~creative(X0))) [input p14]
19. ~old(fred) & curious(fred) [input p18]
22. funny(fred) [input hypothesis]
53. ! [X0] : (((old(X0) & rich(X0)) | (~funny(X0) ... | 0 |
Everyone who is either humble or not tall is both old and kind and vice versa.
If susan is generous or not brave then susan is generous or not tall and vice versa.
Everyone who is rich is both calm and not strong.
If someone is strong then someone is wise and vice versa.
Everyone who is both wise and creative is either... | Alice is not happy. | contradiction | (![X]:((humble(X)<~>~tall(X))<=>(old(X)&kind(X))))&
(((generous(susan)|~brave(susan)))<=>((generous(susan)|~tall(susan))))&
(![X]:(rich(X)=>(calm(X)&~strong(X))))&
((?[X]:(strong(X)))<=>(?[X]:(wise(X))))&
(![X]:((wise(X)&creative(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(~curious(X)=>old(X)))&
(![X]:((wise(X)&tall(X))<=>(... | ~happy(alice) | [
"p2",
"p5",
"p6",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1498357201644692328796173
% SZS output start Proof for 1498357201644692328796173
3. ! [X0] : (rich(X0) => (~strong(X0) & calm(X0))) [input p2]
6. ! [X0] : (~curious(X0) => old(X0)) [input p5]
7. ! [X0] : ((tall(X0) & wise(X0)) <=> (curious(X0) | ~humble(X0))) [input p6]
11. ! [X0] : ((ric... | 0 |
If alice is not old then someone is happy.
Everyone who is old is either not humble or brave and vice versa.
Everyone who is either not curious or not quiet is not creative and vice versa.
If john is either creative or not funny then paul is happy or humble and vice versa.
Everyone who is kind is curious.
If mary is ha... | Paul is tall. | neutral | ((~old(alice))=>(?[X]:(happy(X))))&
(![X]:(old(X)<=>(~humble(X)<~>brave(X))))&
(![X]:((~curious(X)<~>~quiet(X))<=>~creative(X)))&
(((creative(john)<~>~funny(john)))<=>((happy(paul)|humble(paul))))&
(![X]:(kind(X)=>curious(X)))&
((happy(mary))=>(?[X]:((~old(X)<~>~generous(X)))))&
(![X]:((happy(X)|~wise(X))<=>(kind(X)<~>... | tall(paul) | [] | null | 0 |
Everyone who is wise is generous and vice versa.
If susan is either not kind or old then paul is not happy.
If someone is quiet then paul is not old or not kind.
Everyone who is wise is humble and vice versa.
Everyone who is generous is either not funny or rich.
If mary is strong or calm then someone is both brave and ... | Lucy is not strong. | entailment | (![X]:(wise(X)<=>generous(X)))&
(((~kind(susan)<~>old(susan)))=>(~happy(paul)))&
((?[X]:(quiet(X)))=>((~old(paul)|~kind(paul))))&
(![X]:(wise(X)<=>humble(X)))&
(![X]:(generous(X)=>(~funny(X)<~>rich(X))))&
(((strong(mary)|calm(mary)))<=>(?[X]:((brave(X)&happy(X)))))&
(((~funny(fred)<~>patient(fred)))<=>(?[X]:(~quiet(X))... | ~strong(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8406137614171157921182849
% SZS output start Proof for 8406137614171157921182849
9. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> ~happy(X0)) [input p8]
24. strong(lucy) [input hypothesis]
49. ! [X0] : ((((~happy(X0) | strong(X0)) & (happy(X0) | ~strong(X0))) | happy(X0)) & (~happy(X0) | ((~s... | 0 |
Everyone who is wise or funny is both happy and not calm and vice versa. If someone is either brave or not old then someone is quiet or not happy and vice versa. Everyone who is both not creative and not quiet is not curious. Everyone who is curious or funny is not strong and vice versa. Everyone who is wise is both hu... | Mary is strong. | entailment | (![X]:((wise(X)|funny(X))<=>(happy(X)&~calm(X))))&
((?[X]:((brave(X)<~>~old(X))))<=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((~creative(X)&~quiet(X))=>~curious(X)))&
(![X]:((curious(X)|funny(X))<=>~strong(X)))&
(![X]:(wise(X)<=>(humble(X)&~kind(X))))&
((?[X]:((wise(X)|~curious(X))))=>(?[X]:((~calm(X)&~curious(X)))))&
(![... | strong(mary) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4277484864325510505908854
% SZS output start Proof for 4277484864325510505908854
11. ! [X0] : ((wise(X0) | ~old(X0)) => (~old(X0) & strong(X0))) [input p10]
23. ~brave(mary) & ~old(mary) [input p22]
24. ~strong(mary) [input hypothesis]
35. ! [X0] : ((~old(X0) & strong(X0)) | (~wise(X0) & ... | 0 |
Everyone who is either strong or not generous is generous and vice versa.
If susan is not calm then someone is either not strong or not wise and vice versa.
Everyone who is either not wise or quiet is either not wise or curious.
Everyone who is either curious or not curious is either not tall or old and vice versa.
If ... | Mary is brave. | neutral | (![X]:((strong(X)<~>~generous(X))<=>generous(X)))&
((~calm(susan))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
(![X]:((~wise(X)<~>quiet(X))=>(~wise(X)<~>curious(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((rich(X)&~old(X))))<=>(?[X]:(strong(X))))&
((happy(mary))<=>((calm(alice)&~calm(alice))))&
(... | brave(mary) | [] | null | 0 |
If mary is kind or creative then mary is either rich or not brave and vice versa.
Everyone who is either wise or not creative is not generous.
If someone is both not humble and happy then susan is patient and vice versa.
Everyone who is both kind and rich is strong or quiet.
If someone is both humble and not generous t... | Fred is not funny. | entailment | (((kind(mary)|creative(mary)))<=>((rich(mary)<~>~brave(mary))))&
(![X]:((wise(X)<~>~creative(X))=>~generous(X)))&
((?[X]:((~humble(X)&happy(X))))<=>(patient(susan)))&
(![X]:((kind(X)&rich(X))=>(strong(X)|quiet(X))))&
((?[X]:((humble(X)&~generous(X))))=>(?[X]:((~happy(X)&~creative(X)))))&
((?[X]:(kind(X)))=>(?[X]:(patie... | ~funny(fred) | [
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2462153424418448386487235
% SZS output start Proof for 2462153424418448386487235
9. ! [X0] : (strong(X0) <=> funny(X0)) [input p8]
24. ~strong(fred) & ~curious(fred) [input p23]
25. funny(fred) [input hypothesis]
53. ! [X0] : ((strong(X0) | ~funny(X0)) & (funny(X0) | ~strong(X0))) [nnf tr... | 0 |
If someone is generous or not wise then john is not brave and vice versa.
Everyone who is generous is wise and vice versa.
If lucy is not kind or quiet then someone is either creative or strong.
Everyone who is patient is not creative or patient.
If someone is old or calm then someone is not kind and vice versa.
Everyo... | Mary is not happy. | neutral | ((?[X]:((generous(X)|~wise(X))))<=>(~brave(john)))&
(![X]:(generous(X)<=>wise(X)))&
(((~kind(lucy)|quiet(lucy)))=>(?[X]:((creative(X)<~>strong(X)))))&
(![X]:(patient(X)=>(~creative(X)|patient(X))))&
((?[X]:((old(X)|calm(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~kind(X)<~>old(X))<=>humble(X)))&
(((rich(lucy)&~patient(lucy)))... | ~happy(mary) | [] | null | 0 |
If paul is both not funny and tall then someone is old or not brave and vice versa.
If someone is rich or not calm then someone is both calm and not strong and vice versa.
If lucy is either not quiet or not calm then john is either not funny or wise.
Everyone who is both happy and funny is both happy and strong and vic... | Lucy is not happy. | entailment | (((~funny(paul)&tall(paul)))<=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((rich(X)|~calm(X))))<=>(?[X]:((calm(X)&~strong(X)))))&
(((~quiet(lucy)<~>~calm(lucy)))=>((~funny(john)<~>wise(john))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
(![X]:((humble(X)|generous(X))=>tall(X)))&
((?[X]:((~happy(X)&curious(X))))<=>... | ~happy(lucy) | [
"p0",
"p3",
"p4",
"p11",
"p12",
"p13",
"p14",
"p16",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1935123192432723999939874
% SZS output start Proof for 1935123192432723999939874
1. (tall(paul) & ~funny(paul)) <=> ? [X0] : (~brave(X0) | old(X0)) [input p0]
4. ! [X0] : ((funny(X0) & happy(X0)) <=> (strong(X0) & happy(X0))) [input p3]
5. ! [X0] : ((generous(X0) | humble(X0)) => tall(X0)... | 0 |
If someone is both not tall and not generous then someone is both curious and not rich and vice versa.
If paul is either not curious or quiet then susan is both not wise and not curious.
Everyone who is either curious or funny is funny and vice versa.
If alice is either quiet or wise then someone is both curious and no... | Mary is not generous. | contradiction | ((?[X]:((~tall(X)&~generous(X))))<=>(?[X]:((curious(X)&~rich(X)))))&
(((~curious(paul)<~>quiet(paul)))=>((~wise(susan)&~curious(susan))))&
(![X]:((curious(X)<~>funny(X))<=>funny(X)))&
(((quiet(alice)<~>wise(alice)))<=>(?[X]:((curious(X)&~rich(X)))))&
(![X]:(~wise(X)<=>(brave(X)&generous(X))))&
(((~kind(john)|~quiet(joh... | ~generous(mary) | [
"p2",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1353877747712883240413222
% SZS output start Proof for 1353877747712883240413222
3. ! [X0] : ((curious(X0) <~> funny(X0)) <=> funny(X0)) [input p2]
5. ! [X0] : (~wise(X0) <=> (generous(X0) & brave(X0))) [input p4]
17. ~wise(mary) <~> curious(mary) [input p16]
25. ~generous(mary) [input hy... | 0 |
Everyone who is not funny is humble and vice versa.
If someone is old or not funny then someone is not old and vice versa.
If someone is both not kind and wise then someone is either brave or not rich.
Everyone who is not quiet is both not brave and curious.
If susan is both not curious and calm then someone is both no... | Susan is not patient. | entailment | (![X]:(~funny(X)<=>humble(X)))&
((?[X]:((old(X)|~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny... | ~patient(susan) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4940316061650503529601539
% SZS output start Proof for 4940316061650503529601539
6. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p5]
9. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p8]
20. patient(susan) [input hypothesis]
23. ? [... | 0 |
If someone is not curious or not happy then someone is either quiet or not funny and vice versa.
Everyone who is not curious or not tall is not tall or kind.
Everyone who is calm is quiet or generous.
If someone is both not calm and not happy then john is not generous or funny and vice versa.
If someone is either happy... | Mary is rich. | contradiction | ((?[X]:((~curious(X)|~happy(X))))<=>(?[X]:((quiet(X)<~>~funny(X)))))&
(![X]:((~curious(X)|~tall(X))=>(~tall(X)|kind(X))))&
(![X]:(calm(X)=>(quiet(X)|generous(X))))&
((?[X]:((~calm(X)&~happy(X))))<=>((~generous(john)|funny(john))))&
((?[X]:((happy(X)<~>brave(X))))=>((~curious(fred)|~calm(fred))))&
(![X]:(rich(X)<=>(old(... | rich(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6502785730264809605603539
% SZS output start Proof for 6502785730264809605603539
10. ! [X0] : (~quiet(X0) <=> (rich(X0) & quiet(X0))) [input p9]
23. rich(mary) [input hypothesis]
59. ! [X0] : ((~quiet(X0) | (~rich(X0) | ~quiet(X0))) & ((rich(X0) & quiet(X0)) | quiet(X0))) [nnf transformat... | 0 |
If someone is curious or not old then someone is not strong or not happy and vice versa.
Everyone who is quiet or curious is both not curious and calm.
Everyone who is both not quiet and not tall is not strong or not curious and vice versa.
Everyone who is both wise and not patient is either not wise or quiet.
If lucy ... | Alice is curious. | contradiction | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((quiet(X)|curious(X))=>(~curious(X)&calm(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~strong(X)|~curious(X))))&
(![X]:((wise(X)&~patient(X))=>(~wise(X)<~>quiet(X))))&
(((patient(lucy)<~>~old(lucy)))=>(?[X]:((~funny(X)|curious(X)))))&
((?[X]:(wise(X)))<... | curious(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6933738883215328628966123
% SZS output start Proof for 6933738883215328628966123
2. ! [X0] : ((curious(X0) | quiet(X0)) => (calm(X0) & ~curious(X0))) [input p1]
23. curious(alice) [input hypothesis]
25. ! [X0] : ((calm(X0) & ~curious(X0)) | (~curious(X0) & ~quiet(X0))) [ennf transformatio... | 0 |
Everyone who is both generous and calm is either not rich or brave and vice versa.
Everyone who is not curious or not humble is either not creative or not calm and vice versa.
If someone is not old then susan is not calm and vice versa.
Everyone who is strong or not creative is not curious.
Everyone who is either not r... | Mary is not rich. | entailment | (![X]:((generous(X)&calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~curious(X)|~humble(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:(~old(X)))<=>(~calm(susan)))&
(![X]:((strong(X)|~creative(X))=>~curious(X)))&
(![X]:((~rich(X)<~>brave(X))<=>(humble(X)|old(X))))&
(![X]:((~rich(X)&~kind(X))<=>(generous(X)|~funny(X))))&
((?[X]:... | ~rich(mary) | [
"p0",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4212181466493636478848905
% SZS output start Proof for 4212181466493636478848905
1. ! [X0] : ((calm(X0) & generous(X0)) <=> (~rich(X0) <~> brave(X0))) [input p0]
5. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> (old(X0) | humble(X0))) [input p4]
6. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> (~funny(... | 0 |
If lucy is both brave and patient then mary is humble. Everyone who is either wise or not humble is both not old and not wise. If someone is both not humble and funny then paul is either not funny or not curious. If mary is not happy or not humble then someone is either creative or curious. Everyone who is not generous... | Mary is not calm. | neutral | (((brave(lucy)&patient(lucy)))=>(humble(mary)))&
(![X]:((wise(X)<~>~humble(X))=>(~old(X)&~wise(X))))&
((?[X]:((~humble(X)&funny(X))))=>((~funny(paul)<~>~curious(paul))))&
(((~happy(mary)|~humble(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(~generous(X)=>(wise(X)|~quiet(X))))&
(![X]:(~happy(X)=>(~generous(X)|~s... | ~calm(mary) | [] | null | 0 |
If someone is rich then mary is not patient and vice versa.
If someone is calm then someone is both not tall and not humble and vice versa.
If paul is both quiet and not rich then mary is kind or generous and vice versa.
Everyone who is calm or happy is not funny.
Everyone who is old is both wise and generous.
Everyone... | Fred is rich. | entailment | ((?[X]:(rich(X)))<=>(~patient(mary)))&
((?[X]:(calm(X)))<=>(?[X]:((~tall(X)&~humble(X)))))&
(((quiet(paul)&~rich(paul)))<=>((kind(mary)|generous(mary))))&
(![X]:((calm(X)|happy(X))=>~funny(X)))&
(![X]:(old(X)=>(wise(X)&generous(X))))&
(![X]:((creative(X)&~creative(X))=>(happy(X)|~happy(X))))&
((?[X]:((~old(X)<~>~quiet(... | rich(fred) | [
"p7",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 381966914203162224991196
% SZS output start Proof for 381966914203162224991196
8. ! [X0] : ((~kind(X0) | happy(X0)) <=> ~wise(X0)) [input p7]
11. ! [X0] : (~wise(X0) <=> (wise(X0) & ~strong(X0))) [input p10]
12. ! [X0] : ((~generous(X0) <~> ~calm(X0)) => (~tall(X0) & ~kind(X0))) [input p1... | 0 |
If someone is calm or not wise then paul is brave and vice versa.
Everyone who is both brave and curious is quiet.
If someone is happy then susan is quiet.
If someone is either curious or not calm then someone is either not funny or not generous.
If john is quiet then mary is both not brave and brave and vice versa.
If... | Mary is not funny. | contradiction | ((?[X]:((calm(X)|~wise(X))))<=>(brave(paul)))&
(![X]:((brave(X)&curious(X))=>quiet(X)))&
((?[X]:(happy(X)))=>(quiet(susan)))&
((?[X]:((curious(X)<~>~calm(X))))=>(?[X]:((~funny(X)<~>~generous(X)))))&
((quiet(john))<=>((~brave(mary)&brave(mary))))&
((?[X]:((~tall(X)<~>~creative(X))))<=>(~funny(alice)))&
(((~tall(mary)&~o... | ~funny(mary) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 398379707410053213666765
% SZS output start Proof for 398379707410053213666765
16. ? [X0] : old(X0) => (brave(mary) & funny(mary)) [input p15]
20. ? [X0] : old(X0) [input p19]
24. ~funny(mary) [input hypothesis]
35. (brave(mary) & funny(mary)) | ! [X0] : ~old(X0) [ennf transformation 16]
... | 0 |
Everyone who is both not strong and curious is not brave and vice versa. Everyone who is quiet or old is rich or old and vice versa. Everyone who is both not wise and not humble is either not tall or not calm. If lucy is not brave or creative then someone is both rich and not calm. Everyone who is not funny or brave is... | Fred is wise. | entailment | (![X]:((~strong(X)&curious(X))<=>~brave(X)))&
(![X]:((quiet(X)|old(X))<=>(rich(X)|old(X))))&
(![X]:((~wise(X)&~humble(X))=>(~tall(X)<~>~calm(X))))&
(((~brave(lucy)|creative(lucy)))=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:((~funny(X)|brave(X))=>(funny(X)&~quiet(X))))&
(![X]:((happy(X)&~happy(X))=>curious(X)))&
(![X]:((~fun... | wise(fred) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2534503309105223413889370
% SZS output start Proof for 2534503309105223413889370
5. ! [X0] : ((brave(X0) | ~funny(X0)) => (~quiet(X0) & funny(X0))) [input p4]
7. ! [X0] : ((humble(X0) | ~funny(X0)) <=> (wise(X0) <~> ~humble(X0))) [input p6]
25. ~wise(fred) [input hypothesis]
31. ! [X0] : ... | 0 |
If alice is generous or not quiet then someone is either funny or not old and vice versa. If john is not quiet or not humble then john is both not funny and old and vice versa. If mary is both not quiet and rich then someone is tall and vice versa. Everyone who is not quiet or not rich is not rich or not wise. Everyone... | John is quiet. | neutral | (((generous(alice)|~quiet(alice)))<=>(?[X]:((funny(X)<~>~old(X)))))&
(((~quiet(john)|~humble(john)))<=>((~funny(john)&old(john))))&
(((~quiet(mary)&rich(mary)))<=>(?[X]:(tall(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~rich(X)|~wise(X))))&
(![X]:((~calm(X)|curious(X))=>(~kind(X)&~calm(X))))&
(![X]:((calm(X)<~>brave(X))=>(bra... | quiet(john) | [] | null | 0 |
If someone is rich or not funny then john is patient or not quiet and vice versa.
If someone is creative or not tall then someone is kind.
Everyone who is both strong and funny is strong or brave.
If mary is both not quiet and curious then alice is either not kind or wise.
Everyone who is either not wise or not curious... | Mary is not strong. | neutral | ((?[X]:((rich(X)|~funny(X))))<=>((patient(john)|~quiet(john))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:(kind(X))))&
(![X]:((strong(X)&funny(X))=>(strong(X)|brave(X))))&
(((~quiet(mary)&curious(mary)))=>((~kind(alice)<~>wise(alice))))&
(![X]:((~wise(X)<~>~curious(X))=>curious(X)))&
(![X]:(~old(X)=>(patient(X)|humble(X... | ~strong(mary) | [] | null | 0 |
Everyone who is kind or not humble is both not quiet and calm and vice versa.
If someone is both brave and calm then mary is patient or not generous and vice versa.
Everyone who is not old or not humble is not tall or happy and vice versa.
Everyone who is both curious and quiet is not brave.
Everyone who is not old is ... | Alice is patient. | neutral | (![X]:((kind(X)|~humble(X))<=>(~quiet(X)&calm(X))))&
((?[X]:((brave(X)&calm(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tall(X)&~happy(X))))&
((?[X]:((brave(X)|~creative(X))))<=>((brave(susan)&~kind(susan))... | patient(alice) | [] | null | 0 |
If someone is not old then alice is either not humble or not quiet and vice versa.
If someone is both curious and not quiet then someone is both not wise and not generous.
If john is strong then someone is not tall or kind.
Everyone who is both not patient and not wise is both not humble and not patient.
Everyone who i... | Susan is patient. | entailment | ((?[X]:(~old(X)))<=>((~humble(alice)<~>~quiet(alice))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:((~wise(X)&~generous(X)))))&
((strong(john))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:((~patient(X)&~wise(X))=>(~humble(X)&~patient(X))))&
(![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X... | patient(susan) | [
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 409845142539520760983679
% SZS output start Proof for 409845142539520760983679
12. ! [X0] : ((~brave(X0) | humble(X0)) => (happy(X0) & ~happy(X0))) [input p11]
13. ! [X0] : ((happy(X0) | ~brave(X0)) <=> (strong(X0) | ~patient(X0))) [input p12]
21. ~strong(susan) & ~happy(susan) [input p20... | 0 |
If someone is both funny and not funny then mary is not humble.
If someone is both calm and not humble then someone is both not curious and not kind and vice versa.
If someone is both kind and not creative then paul is either quiet or old and vice versa.
Everyone who is not creative is not quiet or not generous.
If som... | Susan is patient. | contradiction | ((?[X]:((funny(X)&~funny(X))))=>(~humble(mary)))&
((?[X]:((calm(X)&~humble(X))))<=>(?[X]:((~curious(X)&~kind(X)))))&
((?[X]:((kind(X)&~creative(X))))<=>((quiet(paul)<~>old(paul))))&
(![X]:(~creative(X)=>(~quiet(X)|~generous(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((calm(X)&~generous(X)))))&
(((~generous(susan)&~wise(susan)))... | patient(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 504500427623756356615817
% SZS output start Proof for 504500427623756356615817
22. ~patient(susan) & humble(susan) [input p21]
25. patient(susan) [input hypothesis]
136. ~patient(susan) [cnf transformation 22]
141. patient(susan) [cnf transformation 25]
337. $false [subsumption resolution... | 0 |
If someone is tall then someone is both curious and brave.
If john is not tall or not strong then paul is not generous or not happy and vice versa.
Everyone who is both not creative and not kind is funny and vice versa.
If someone is brave or curious then someone is not rich and vice versa.
If fred is either not funny ... | Fred is creative. | neutral | ((?[X]:(tall(X)))=>(?[X]:((curious(X)&brave(X)))))&
(((~tall(john)|~strong(john)))<=>((~generous(paul)|~happy(paul))))&
(![X]:((~creative(X)&~kind(X))<=>funny(X)))&
((?[X]:((brave(X)|curious(X))))<=>(?[X]:(~rich(X))))&
(((~funny(fred)<~>creative(fred)))<=>((~humble(paul)&~funny(paul))))&
((~creative(john))<=>(?[X]:((~g... | creative(fred) | [] | null | 0 |
If someone is both strong and not happy then someone is both not brave and not tall and vice versa.
Everyone who is either creative or wise is both brave and not creative and vice versa.
Everyone who is either generous or not rich is either quiet or rich and vice versa.
Everyone who is not calm is either quiet or not p... | Alice is not quiet. | contradiction | ((?[X]:((strong(X)&~happy(X))))<=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((creative(X)<~>wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(quiet(X)<~>rich(X))))&
(![X]:(~calm(X)=>(quiet(X)<~>~patient(X))))&
(![X]:(~creative(X)=>(strong(X)|rich(X))))&
(![X]:((~old(X)|generous(X))=>(happy(X)&quiet(X... | ~quiet(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4110460933215244481363993
% SZS output start Proof for 4110460933215244481363993
3. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (quiet(X0) <~> rich(X0))) [input p2]
6. ! [X0] : ((generous(X0) | ~old(X0)) => (quiet(X0) & happy(X0))) [input p5]
23. ~quiet(alice) [input hypothesis]
35. ! [X0]... | 0 |
Everyone who is either not wise or not rich is either creative or not rich.
If someone is not calm or not tall then someone is quiet and vice versa.
Everyone who is not quiet or quiet is quiet.
Everyone who is quiet or curious is either old or not tall.
If susan is either not calm or not humble then alice is wise and v... | John is not generous. | contradiction | (![X]:((~wise(X)<~>~rich(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((~calm(X)|~tall(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~quiet(X)|quiet(X))=>quiet(X)))&
(![X]:((quiet(X)|curious(X))=>(old(X)<~>~tall(X))))&
(((~calm(susan)<~>~humble(susan)))<=>(wise(alice)))&
((?[X]:((patient(X)<~>old(X))))=>(?[X]:((~generous(X)|creative(... | ~generous(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4552590452144690697854720
% SZS output start Proof for 4552590452144690697854720
11. ! [X0] : ((old(X0) & ~old(X0)) <=> (funny(X0) | ~generous(X0))) [input p10]
22. ~generous(john) [input hypothesis]
52. ! [X0] : (((old(X0) & ~old(X0)) | (~funny(X0) & generous(X0))) & ((funny(X0) | ~gener... | 0 |
Everyone who is either not tall or not creative is creative.
If mary is either strong or not quiet then lucy is either wise or curious and vice versa.
Everyone who is either wise or brave is not wise or not strong and vice versa.
If someone is either quiet or creative then john is either rich or not curious and vice ve... | Mary is tall. | contradiction | (![X]:((~tall(X)<~>~creative(X))=>creative(X)))&
(((strong(mary)<~>~quiet(mary)))<=>((wise(lucy)<~>curious(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~wise(X)|~strong(X))))&
((?[X]:((quiet(X)<~>creative(X))))<=>((rich(john)<~>~curious(john))))&
(![X]:((~rich(X)|brave(X))=>(calm(X)&~calm(X))))&
(((~brave(lucy)<~>~creative... | tall(mary) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3332501767360049273160359
% SZS output start Proof for 3332501767360049273160359
1. ! [X0] : ((~tall(X0) <~> ~creative(X0)) => creative(X0)) [input p0]
5. ! [X0] : ((brave(X0) | ~rich(X0)) => (~calm(X0) & calm(X0))) [input p4]
12. ! [X0] : ((~brave(X0) | kind(X0)) <=> ~creative(X0)) [inpu... | 0 |
If someone is either not curious or tall then fred is not patient or kind.
If alice is both not funny and not happy then someone is either rich or not curious and vice versa.
If john is not humble or calm then john is either brave or not rich and vice versa.
Everyone who is both quiet and happy is old or happy and vice... | John is not creative. | entailment | ((?[X]:((~curious(X)<~>tall(X))))=>((~patient(fred)|kind(fred))))&
(((~funny(alice)&~happy(alice)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((~humble(john)|calm(john)))<=>((brave(john)<~>~rich(john))))&
(![X]:((quiet(X)&happy(X))<=>(old(X)|happy(X))))&
(((~curious(mary)&rich(mary)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]... | ~creative(john) | [
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1996502539912456827675332
% SZS output start Proof for 1996502539912456827675332
7. ! [X0] : ((quiet(X0) <~> ~funny(X0)) <=> (creative(X0) & generous(X0))) [input p6]
8. ! [X0] : ((calm(X0) | tall(X0)) => ~generous(X0)) [input p7]
10. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> ~generous(X0... | 0 |
Everyone who is both not creative and curious is either strong or wise and vice versa.
Everyone who is not curious or funny is either not strong or not generous and vice versa.
If someone is not wise or calm then mary is either old or not kind and vice versa.
If alice is not funny or not old then someone is both curiou... | Lucy is not humble. | contradiction | (![X]:((~creative(X)&curious(X))<=>(strong(X)<~>wise(X))))&
(![X]:((~curious(X)|funny(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((old(mary)<~>~kind(mary))))&
(((~funny(alice)|~old(alice)))=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~old(X)|~strong(X))<=>(~generous(X)&tall(X))))&
(![X]:((humb... | ~humble(lucy) | [
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4379434240628453698468339
% SZS output start Proof for 4379434240628453698468339
5. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (tall(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (funny(X0) & generous(X0))) [input p9]
14. ! [X0] : ((~humble(X0) | happy(X0)) => ~st... | 0 |
If someone is both not curious and brave then someone is both not calm and happy. Everyone who is funny is both rich and strong and vice versa. Everyone who is not creative or rich is not calm and vice versa. Everyone who is both not old and not calm is both patient and not funny and vice versa. Everyone who is not qui... | Mary is not old. | contradiction | ((?[X]:((~curious(X)&brave(X))))=>(?[X]:((~calm(X)&happy(X)))))&
(![X]:(funny(X)<=>(rich(X)&strong(X))))&
(![X]:((~creative(X)|rich(X))<=>~calm(X)))&
(![X]:((~old(X)&~calm(X))<=>(patient(X)&~funny(X))))&
(![X]:(~quiet(X)=>(wise(X)<~>~funny(X))))&
(![X]:((creative(X)<~>wise(X))=>(~happy(X)|~patient(X))))&
(((~calm(john)... | ~old(mary) | [
"p1",
"p2",
"p3",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2623673238130999813235304
% SZS output start Proof for 2623673238130999813235304
2. ! [X0] : (funny(X0) <=> (strong(X0) & rich(X0))) [input p1]
3. ! [X0] : ((rich(X0) | ~creative(X0)) <=> ~calm(X0)) [input p2]
4. ! [X0] : ((~calm(X0) & ~old(X0)) <=> (~funny(X0) & patient(X0))) [input p3]
... | 0 |
Everyone who is both generous and not creative is both happy and humble.
If susan is either not curious or old then john is either not kind or strong and vice versa.
Everyone who is both not funny and patient is not calm and vice versa.
Everyone who is either not quiet or not old is either not quiet or not strong and v... | Mary is rich. | entailment | (![X]:((generous(X)&~creative(X))=>(happy(X)&humble(X))))&
(((~curious(susan)<~>old(susan)))<=>((~kind(john)<~>strong(john))))&
(![X]:((~funny(X)&patient(X))<=>~calm(X)))&
(![X]:((~quiet(X)<~>~old(X))<=>(~quiet(X)<~>~strong(X))))&
(![X]:(happy(X)=>~tall(X)))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:((~strong(X)|tall(X... | rich(mary) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1391961478629388377267337
% SZS output start Proof for 1391961478629388377267337
9. ! [X0] : (strong(X0) => (~rich(X0) & rich(X0))) [input p8]
14. (~old(lucy) & old(lucy)) <=> ? [X0] : (~rich(X0) <~> strong(X0)) [input p13]
25. ~rich(mary) [input hypothesis]
33. ! [X0] : ((~rich(X0) & ric... | 0 |
If someone is both quiet and calm then someone is patient or kind and vice versa.
If alice is both not funny and not tall then mary is both creative and not creative and vice versa.
Everyone who is not tall is both humble and not calm and vice versa.
If someone is tall then someone is either generous or not generous an... | John is not quiet. | entailment | ((?[X]:((quiet(X)&calm(X))))<=>(?[X]:((patient(X)|kind(X)))))&
(((~funny(alice)&~tall(alice)))<=>((creative(mary)&~creative(mary))))&
(![X]:(~tall(X)<=>(humble(X)&~calm(X))))&
((?[X]:(tall(X)))<=>(?[X]:((generous(X)<~>~generous(X)))))&
(![X]:((~tall(X)<~>~calm(X))=>(~generous(X)&~strong(X))))&
(![X]:((~happy(X)&creativ... | ~quiet(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7707110497085233219998927
% SZS output start Proof for 7707110497085233219998927
14. ! [X0] : ((quiet(X0) | ~humble(X0)) => (creative(X0) & ~quiet(X0))) [input p13]
25. quiet(john) [input hypothesis]
36. ! [X0] : ((creative(X0) & ~quiet(X0)) | (~quiet(X0) & humble(X0))) [ennf transformati... | 0 |
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