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 quiet is either not patient or funny and vice versa.
If fred is patient or humble then someone is quiet and vice versa.
If lucy is either not kind or kind then someone is both not humble and not strong.
If alice is happy or not happy then john is not wise or rich and vice versa.
If someone is not wise o... | Susan is not patient. | contradiction | (![X]:(quiet(X)<=>(~patient(X)<~>funny(X))))&
(((patient(fred)|humble(fred)))<=>(?[X]:(quiet(X))))&
(((~kind(lucy)<~>kind(lucy)))=>(?[X]:((~humble(X)&~strong(X)))))&
(((happy(alice)|~happy(alice)))<=>((~wise(john)|rich(john))))&
((?[X]:((~wise(X)|tall(X))))=>(~wise(susan)))&
(![X]:(~patient(X)=>(~patient(X)&~generous(X... | ~patient(susan) | [
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3330725825921965366333277
% SZS output start Proof for 3330725825921965366333277
6. ! [X0] : (~patient(X0) => (~generous(X0) & ~patient(X0))) [input p5]
7. ? [X0] : (~old(X0) | ~funny(X0)) <=> ? [X0] : (~creative(X0) <~> generous(X0)) [input p6]
8. ! [X0] : (creative(X0) <=> ~generous(X0)... | 0 |
Everyone who is generous is not brave or not funny.
Everyone who is either quiet or tall is curious.
Everyone who is both brave and funny is both not creative and strong and vice versa.
If john is both tall and not kind then someone is both not rich and wise and vice versa.
Everyone who is old is both brave and humble ... | Mary is not curious. | neutral | (![X]:(generous(X)=>(~brave(X)|~funny(X))))&
(![X]:((quiet(X)<~>tall(X))=>curious(X)))&
(![X]:((brave(X)&funny(X))<=>(~creative(X)&strong(X))))&
(((tall(john)&~kind(john)))<=>(?[X]:((~rich(X)&wise(X)))))&
(![X]:(old(X)<=>(brave(X)&humble(X))))&
(((~curious(mary)|wise(mary)))<=>(?[X]:(~curious(X))))&
(![X]:((~humble(X)<... | ~curious(mary) | [] | null | 0 |
Everyone who is both not humble and not happy is quiet or funny. Everyone who is both humble and not wise is strong or happy and vice versa. If someone is both tall and not tall then fred is either rich or not curious and vice versa. If someone is humble or old then someone is patient or not patient. If someone is both... | Mary is tall. | entailment | (![X]:((~humble(X)&~happy(X))=>(quiet(X)|funny(X))))&
(![X]:((humble(X)&~wise(X))<=>(strong(X)|happy(X))))&
((?[X]:((tall(X)&~tall(X))))<=>((rich(fred)<~>~curious(fred))))&
((?[X]:((humble(X)|old(X))))=>(?[X]:((patient(X)|~patient(X)))))&
((?[X]:((creative(X)&~creative(X))))<=>(?[X]:((~humble(X)<~>~patient(X)))))&
(![X... | tall(mary) | [
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 778528462731922315595644
% SZS output start Proof for 778528462731922315595644
10. ! [X0] : ((~curious(X0) & quiet(X0)) <=> (brave(X0) & ~quiet(X0))) [input p9]
11. ! [X0] : ((~curious(X0) & curious(X0)) <=> (~quiet(X0) <~> kind(X0))) [input p10]
13. ! [X0] : (tall(X0) <=> (quiet(X0) <~> ... | 0 |
Everyone who is patient or happy is both not creative and quiet and vice versa. If someone is not calm then someone is not wise or brave. Everyone who is kind is either not patient or tall and vice versa. Everyone who is both patient and not creative is not creative or brave. Everyone who is not quiet or rich is both h... | Alice is curious. | contradiction | (![X]:((patient(X)|happy(X))<=>(~creative(X)&quiet(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:(kind(X)<=>(~patient(X)<~>tall(X))))&
(![X]:((patient(X)&~creative(X))=>(~creative(X)|brave(X))))&
(![X]:((~quiet(X)|rich(X))=>(happy(X)&kind(X))))&
(((~tall(fred)&tall(fred)))=>(?[X]:((~happy(X)&generous(... | curious(alice) | [
"p0",
"p4",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7542958373407012280569155
% SZS output start Proof for 7542958373407012280569155
1. ! [X0] : ((happy(X0) | patient(X0)) <=> (quiet(X0) & ~creative(X0))) [input p0]
5. ! [X0] : ((rich(X0) | ~quiet(X0)) => (kind(X0) & happy(X0))) [input p4]
7. ! [X0] : (~brave(X0) => (~happy(X0) & ~patient(... | 0 |
If mary is either generous or not creative then someone is both not creative and funny and vice versa. Everyone who is not wise is both humble and kind and vice versa. Everyone who is both not kind and rich is either happy or quiet and vice versa. If someone is creative or not creative then someone is both not patient ... | Susan is rich. | entailment | (((generous(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)&funny(X)))))&
(![X]:(~wise(X)<=>(humble(X)&kind(X))))&
(![X]:((~kind(X)&rich(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((creative(X)|~creative(X))))=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:((~curious(X)<~>curious(X))))<=>((strong(john)<~>patient(john))))&
(![X]:... | rich(susan) | [
"p2",
"p5",
"p6",
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 584992043865530635625055
% SZS output start Proof for 584992043865530635625055
3. ! [X0] : ((rich(X0) & ~kind(X0)) <=> (happy(X0) <~> quiet(X0))) [input p2]
6. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> ~old(X0)) [input p5]
7. ! [X0] : ((happy(X0) <~> ~curious(X0)) <=> old(X0)) [input p6]
9. ... | 0 |
Everyone who is both creative and not generous is both humble and not calm.
Everyone who is brave or not wise is rich.
Everyone who is not patient or not curious is either not brave or not funny and vice versa.
Everyone who is either not happy or patient is both kind and not wise.
If fred is either strong or tall then ... | Susan is rich. | entailment | (![X]:((creative(X)&~generous(X))=>(humble(X)&~calm(X))))&
(![X]:((brave(X)|~wise(X))=>rich(X)))&
(![X]:((~patient(X)|~curious(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>patient(X))=>(kind(X)&~wise(X))))&
(((strong(fred)<~>tall(fred)))=>(?[X]:((~old(X)&creative(X)))))&
(((rich(fred)<~>~rich(fred)))=>(?[X]:(~h... | rich(susan) | [
"p1",
"p9",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2797656571515286198498829
% SZS output start Proof for 2797656571515286198498829
2. ! [X0] : ((~wise(X0) | brave(X0)) => rich(X0)) [input p1]
10. ! [X0] : (~calm(X0) => (~wise(X0) <~> rich(X0))) [input p9]
11. ! [X0] : ((humble(X0) | calm(X0)) => (~tall(X0) & ~strong(X0))) [input p10]
12.... | 0 |
Everyone who is not strong or not funny is not quiet and vice versa.
If someone is both calm and creative then paul is humble or not quiet and vice versa.
If someone is both not strong and not patient then susan is either funny or patient.
If someone is strong then someone is both creative and funny.
Everyone who is ei... | Paul is patient. | neutral | (![X]:((~strong(X)|~funny(X))<=>~quiet(X)))&
((?[X]:((calm(X)&creative(X))))<=>((humble(paul)|~quiet(paul))))&
((?[X]:((~strong(X)&~patient(X))))=>((funny(susan)<~>patient(susan))))&
((?[X]:(strong(X)))=>(?[X]:((creative(X)&funny(X)))))&
(![X]:((~tall(X)<~>~humble(X))<=>(quiet(X)<~>~generous(X))))&
(![X]:((~strong(X)|~... | patient(paul) | [] | null | 0 |
If lucy is generous then alice is creative.
Everyone who is old is either patient or happy.
Everyone who is both not patient and not tall is wise or not curious and vice versa.
Everyone who is not humble is both not patient and not curious and vice versa.
Everyone who is strong or not old is both not humble and tall an... | John is not happy. | contradiction | ((generous(lucy))=>(creative(alice)))&
(![X]:(old(X)=>(patient(X)<~>happy(X))))&
(![X]:((~patient(X)&~tall(X))<=>(wise(X)|~curious(X))))&
(![X]:(~humble(X)<=>(~patient(X)&~curious(X))))&
(![X]:((strong(X)|~old(X))<=>(~humble(X)&tall(X))))&
((patient(john))=>(?[X]:(curious(X))))&
((?[X]:((~rich(X)<~>~patient(X))))<=>(?[... | ~happy(john) | [
"p1",
"p2",
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5614994529672515398958233
% SZS output start Proof for 5614994529672515398958233
2. ! [X0] : (old(X0) => (patient(X0) <~> happy(X0))) [input p1]
3. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (~curious(X0) | wise(X0))) [input p2]
4. ! [X0] : (~humble(X0) <=> (~curious(X0) & ~patient(X0))) [i... | 0 |
If someone is either patient or happy then lucy is either not funny or happy and vice versa. Everyone who is both not patient and not quiet is both curious and patient. If someone is either not tall or humble then susan is not rich or not wise. Everyone who is not tall or not happy is both not patient and calm and vice... | Lucy is not patient. | contradiction | ((?[X]:((patient(X)<~>happy(X))))<=>((~funny(lucy)<~>happy(lucy))))&
(![X]:((~patient(X)&~quiet(X))=>(curious(X)&patient(X))))&
((?[X]:((~tall(X)<~>humble(X))))=>((~rich(susan)|~wise(susan))))&
(![X]:((~tall(X)|~happy(X))<=>(~patient(X)&calm(X))))&
(![X]:(~happy(X)<=>(~strong(X)|~patient(X))))&
((?[X]:(~calm(X)))<=>((f... | ~patient(lucy) | [
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 551140837617208020861542
% SZS output start Proof for 551140837617208020861542
4. ! [X0] : ((~happy(X0) | ~tall(X0)) <=> (calm(X0) & ~patient(X0))) [input p3]
5. ! [X0] : (~happy(X0) <=> (~patient(X0) | ~strong(X0))) [input p4]
11. ! [X0] : ((~old(X0) <~> old(X0)) <=> (~old(X0) & ~calm(X0... | 0 |
Everyone who is not brave or not rich is both humble and old and vice versa.
If someone is generous then alice is both brave and not wise and vice versa.
Everyone who is both not generous and brave is not brave and vice versa.
If john is old then john is both happy and patient and vice versa.
If someone is either not b... | Paul is strong. | contradiction | (![X]:((~brave(X)|~rich(X))<=>(humble(X)&old(X))))&
((?[X]:(generous(X)))<=>((brave(alice)&~wise(alice))))&
(![X]:((~generous(X)&brave(X))<=>~brave(X)))&
((old(john))<=>((happy(john)&patient(john))))&
((?[X]:((~brave(X)<~>~creative(X))))<=>(?[X]:((~quiet(X)&~kind(X)))))&
((?[X]:((~funny(X)<~>~happy(X))))<=>(?[X]:((stro... | strong(paul) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 621011725858203040914682
% SZS output start Proof for 621011725858203040914682
3. ! [X0] : ((brave(X0) & ~generous(X0)) <=> ~brave(X0)) [input p2]
15. ? [X0] : (strong(X0) | calm(X0)) => (funny(alice) & ~generous(alice)) [input p14]
23. strong(paul) [input hypothesis]
26. ? [X0] : strong(... | 0 |
If alice is not curious or kind then paul is calm. Everyone who is strong is either not curious or funny. Everyone who is funny or quiet is funny and vice versa. If lucy is both not happy and not tall then paul is kind or not calm and vice versa. Everyone who is happy is both not patient and creative. Everyone who is w... | Alice is not wise. | neutral | (((~curious(alice)|kind(alice)))=>(calm(paul)))&
(![X]:(strong(X)=>(~curious(X)<~>funny(X))))&
(![X]:((funny(X)|quiet(X))<=>funny(X)))&
(((~happy(lucy)&~tall(lucy)))<=>((kind(paul)|~calm(paul))))&
(![X]:(happy(X)=>(~patient(X)&creative(X))))&
(![X]:(wise(X)<=>generous(X)))&
(![X]:(~curious(X)=>(~strong(X)|quiet(X))))&
... | ~wise(alice) | [] | null | 0 |
Everyone who is humble is not rich and vice versa. Everyone who is both not quiet and not calm is either not funny or kind and vice versa. Everyone who is not tall or not creative is creative or not kind. If someone is curious then someone is not creative and vice versa. Everyone who is either not kind or creative is n... | John is brave. | entailment | (![X]:(humble(X)<=>~rich(X)))&
(![X]:((~quiet(X)&~calm(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~tall(X)|~creative(X))=>(creative(X)|~kind(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>creative(X))=>~old(X)))&
((humble(mary))=>(~creative(john)))&
(![X]:(kind(X)<=>(~brave(X)&quiet(X))))&
(![X]:(... | brave(john) | [
"p0",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 810009127266802403433139
% SZS output start Proof for 810009127266802403433139
1. ! [X0] : (humble(X0) <=> ~rich(X0)) [input p0]
8. ! [X0] : ((humble(X0) | ~tall(X0)) => (~calm(X0) & generous(X0))) [input p7]
9. ! [X0] : (~humble(X0) => brave(X0)) [input p8]
14. ! [X0] : (~brave(X0) <=> (... | 0 |
Everyone who is both not strong and humble is both humble and not humble.
Everyone who is both calm and brave is both brave and old and vice versa.
Everyone who is not strong is either humble or curious.
Everyone who is either kind or calm is either old or not curious.
Everyone who is generous or not calm is tall and v... | Fred is rich. | neutral | (![X]:((~strong(X)&humble(X))=>(humble(X)&~humble(X))))&
(![X]:((calm(X)&brave(X))<=>(brave(X)&old(X))))&
(![X]:(~strong(X)=>(humble(X)<~>curious(X))))&
(![X]:((kind(X)<~>calm(X))=>(old(X)<~>~curious(X))))&
(![X]:((generous(X)|~calm(X))<=>tall(X)))&
(![X]:((~wise(X)&~happy(X))=>(kind(X)&~calm(X))))&
(![X]:((brave(X)|~g... | rich(fred) | [] | null | 0 |
Everyone who is not wise or not curious is both not curious and not brave and vice versa.
If fred is either quiet or old then someone is not generous and vice versa.
Everyone who is not strong is both not happy and not rich and vice versa.
If fred is both creative and not happy then someone is either calm or old.
If so... | Alice is creative. | neutral | (![X]:((~wise(X)|~curious(X))<=>(~curious(X)&~brave(X))))&
(((quiet(fred)<~>old(fred)))<=>(?[X]:(~generous(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(((creative(fred)&~happy(fred)))=>(?[X]:((calm(X)<~>old(X)))))&
((?[X]:((~old(X)&old(X))))<=>(?[X]:((humble(X)&~quiet(X)))))&
(((~brave(susan)|curious(susan)))<=>... | creative(alice) | [] | null | 0 |
If lucy is curious then someone is either not tall or not old and vice versa. If paul is both not tall and not rich then lucy is either not strong or generous and vice versa. If someone is not wise or generous then someone is not rich and vice versa. Everyone who is either not rich or happy is curious or not patient. E... | Fred is rich. | contradiction | ((curious(lucy))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(((~tall(paul)&~rich(paul)))<=>((~strong(lucy)<~>generous(lucy))))&
((?[X]:((~wise(X)|generous(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~rich(X)<~>happy(X))=>(curious(X)|~patient(X))))&
(![X]:((~brave(X)|rich(X))<=>(~funny(X)&~kind(X))))&
(![X]:((funny(X)|brave(X))=>(brave(... | rich(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8100964709275835757423853
% SZS output start Proof for 8100964709275835757423853
16. ! [X0] : ((~quiet(X0) & rich(X0)) <=> quiet(X0)) [input p15]
24. rich(fred) [input hypothesis]
67. ! [X0] : (((~quiet(X0) & rich(X0)) | ~quiet(X0)) & (quiet(X0) | (quiet(X0) | ~rich(X0)))) [nnf transforma... | 0 |
Everyone who is not quiet is rich or not strong and vice versa.
Everyone who is both strong and not brave is both kind and creative and vice versa.
Everyone who is happy or funny is not brave or creative.
If john is either brave or rich then someone is both kind and not wise.
Everyone who is not wise is both not curiou... | John is not brave. | contradiction | (![X]:(~quiet(X)<=>(rich(X)|~strong(X))))&
(![X]:((strong(X)&~brave(X))<=>(kind(X)&creative(X))))&
(![X]:((happy(X)|funny(X))=>(~brave(X)|creative(X))))&
(((brave(john)<~>rich(john)))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(~wise(X)<=>(~curious(X)&~old(X))))&
(![X]:(~old(X)=>(~old(X)<~>strong(X))))&
(![X]:((~creative(X)|... | ~brave(john) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2250250105711059062191246
% SZS output start Proof for 2250250105711059062191246
1. ! [X0] : (~quiet(X0) <=> (~strong(X0) | rich(X0))) [input p0]
2. ! [X0] : ((~brave(X0) & strong(X0)) <=> (creative(X0) & kind(X0))) [input p1]
4. (brave(john) <~> rich(john)) => ? [X0] : (~wise(X0) & kind(... | 0 |
If susan is either wise or humble then someone is not curious or brave.
Everyone who is both happy and funny is kind or not patient and vice versa.
Everyone who is either curious or rich is old or funny.
If someone is not strong then mary is both not funny and not happy.
If alice is not funny or funny then paul is not ... | Paul is tall. | contradiction | (((wise(susan)<~>humble(susan)))=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((happy(X)&funny(X))<=>(kind(X)|~patient(X))))&
(![X]:((curious(X)<~>rich(X))=>(old(X)|funny(X))))&
((?[X]:(~strong(X)))=>((~funny(mary)&~happy(mary))))&
(((~funny(alice)|funny(alice)))=>(~generous(paul)))&
(![X]:(~happy(X)<=>(tall(X)<~>~creative... | tall(paul) | [
"p1",
"p4",
"p5",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3449778935330687693609451
% SZS output start Proof for 3449778935330687693609451
2. ! [X0] : ((funny(X0) & happy(X0)) <=> (~patient(X0) | kind(X0))) [input p1]
5. (funny(alice) | ~funny(alice)) => ~generous(paul) [input p4]
6. ! [X0] : (~happy(X0) <=> (tall(X0) <~> ~creative(X0))) [input ... | 0 |
If someone is not quiet or patient then lucy is happy and vice versa.
If lucy is funny then lucy is either not funny or tall.
If john is not patient or humble then someone is not humble.
If alice is both generous and not wise then lucy is not quiet and vice versa.
Everyone who is not tall is not calm and vice versa.
If... | Paul is not wise. | entailment | ((?[X]:((~quiet(X)|patient(X))))<=>(happy(lucy)))&
((funny(lucy))=>((~funny(lucy)<~>tall(lucy))))&
(((~patient(john)|humble(john)))=>(?[X]:(~humble(X))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((rich(... | ~wise(paul) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8551297280887140266687398
% SZS output start Proof for 8551297280887140266687398
7. ! [X0] : ((rich(X0) <~> ~funny(X0)) <=> (calm(X0) & ~calm(X0))) [input p6]
16. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (brave(X0) & ~wise(X0))) [input p15]
22. wise(paul) [input hypothesis]
50. ! [X0] : (((... | 0 |
Everyone who is generous is not humble and vice versa. Everyone who is not brave is old. If fred is either creative or not wise then someone is not kind and vice versa. Everyone who is both brave and wise is both rich and tall. If someone is both not kind and tall then fred is old or curious. If lucy is not tall then s... | Alice is not quiet. | contradiction | (![X]:(generous(X)<=>~humble(X)))&
(![X]:(~brave(X)=>old(X)))&
(((creative(fred)<~>~wise(fred)))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)&wise(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)&tall(X))))=>((old(fred)|curious(fred))))&
((~tall(lucy))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>~quiet(X)... | ~quiet(alice) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8851806852213649437768260
% SZS output start Proof for 8851806852213649437768260
7. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~brave(X0) | ~strong(X0))) [input p8]
13. ! [X0] : ((strong(X0) | ~old(X0)) => (old(X0) & quiet(X0)... | 0 |
Everyone who is both not calm and not rich is patient or not kind.
If someone is not rich or not generous then fred is not brave or patient and vice versa.
If someone is not brave or not rich then fred is either not rich or not curious.
Everyone who is calm is humble or strong and vice versa.
Everyone who is calm or ha... | John is wise. | neutral | (![X]:((~calm(X)&~rich(X))=>(patient(X)|~kind(X))))&
((?[X]:((~rich(X)|~generous(X))))<=>((~brave(fred)|patient(fred))))&
((?[X]:((~brave(X)|~rich(X))))=>((~rich(fred)<~>~curious(fred))))&
(![X]:(calm(X)<=>(humble(X)|strong(X))))&
(![X]:((calm(X)|happy(X))<=>(~quiet(X)|wise(X))))&
(((~old(lucy)<~>~calm(lucy)))<=>((~bra... | wise(john) | [] | null | 0 |
Everyone who is tall is both old and not wise and vice versa. Everyone who is not old or brave is both calm and not funny and vice versa. Everyone who is not calm is either not strong or not happy and vice versa. If alice is not quiet then susan is not wise. If john is not kind then someone is patient and vice versa. E... | Alice is not generous. | contradiction | (![X]:(tall(X)<=>(old(X)&~wise(X))))&
(![X]:((~old(X)|brave(X))<=>(calm(X)&~funny(X))))&
(![X]:(~calm(X)<=>(~strong(X)<~>~happy(X))))&
((~quiet(alice))=>(~wise(susan)))&
((~kind(john))<=>(?[X]:(patient(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(quiet(X)<~>~old(X))))&
(![X]:((~quiet(X)&strong(X))=>(funny(X)&~patient(X))))&
... | ~generous(alice) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8082288217818487553417938
% SZS output start Proof for 8082288217818487553417938
2. ! [X0] : ((brave(X0) | ~old(X0)) <=> (~funny(X0) & calm(X0))) [input p1]
5. ~kind(john) <=> ? [X0] : patient(X0) [input p4]
6. ! [X0] : ((brave(X0) <~> ~rich(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p5]
7... | 0 |
Everyone who is funny is either not kind or creative and vice versa.
Everyone who is calm or quiet is not funny and vice versa.
If susan is happy then someone is both not creative and tall.
Everyone who is either curious or brave is either tall or not funny and vice versa.
If fred is both creative and quiet then someon... | Paul is generous. | entailment | (![X]:(funny(X)<=>(~kind(X)<~>creative(X))))&
(![X]:((calm(X)|quiet(X))<=>~funny(X)))&
((happy(susan))=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((curious(X)<~>brave(X))<=>(tall(X)<~>~funny(X))))&
(((creative(fred)&quiet(fred)))<=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:((~rich(X)|calm(X))<=>(quiet(X)|~rich(X))))&
((... | generous(paul) | [
"p0",
"p1",
"p7",
"p8",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6597039814034147041323511
% SZS output start Proof for 6597039814034147041323511
1. ! [X0] : (funny(X0) <=> (~kind(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | calm(X0)) <=> ~funny(X0)) [input p1]
8. ! [X0] : ((creative(X0) & ~curious(X0)) <=> (tall(X0) <~> happy(X0))) [inp... | 0 |
If fred is not old then paul is either calm or not tall. Everyone who is not creative or not old is either funny or not old and vice versa. Everyone who is both not curious and not funny is both creative and not quiet. If john is either not tall or rich then alice is not rich and vice versa. Everyone who is old is not ... | Susan is tall. | contradiction | ((~old(fred))=>((calm(paul)<~>~tall(paul))))&
(![X]:((~creative(X)|~old(X))<=>(funny(X)<~>~old(X))))&
(![X]:((~curious(X)&~funny(X))=>(creative(X)&~quiet(X))))&
(((~tall(john)<~>rich(john)))<=>(~rich(alice)))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((wise(X)|quiet(X))=>~rich(X)))&
(![X]:((kind(X)<~>generous(X))=>(tall(X)&cur... | tall(susan) | [
"p1",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7744215854398070859634769
% SZS output start Proof for 7744215854398070859634769
2. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (funny(X0) <~> ~old(X0))) [input p1]
5. ! [X0] : (old(X0) => ~tall(X0)) [input p4]
13. ! [X0] : ((~funny(X0) | kind(X0)) => (tall(X0) & funny(X0))) [input p12]
23. ... | 0 |
If alice is not strong then someone is either strong or tall.
If lucy is either old or strong then someone is either curious or not funny.
Everyone who is not patient or not happy is both strong and happy and vice versa.
Everyone who is both funny and not brave is either not happy or humble.
Everyone who is both calm a... | John is not funny. | contradiction | ((~strong(alice))=>(?[X]:((strong(X)<~>tall(X)))))&
(((old(lucy)<~>strong(lucy)))=>(?[X]:((curious(X)<~>~funny(X)))))&
(![X]:((~patient(X)|~happy(X))<=>(strong(X)&happy(X))))&
(![X]:((funny(X)&~brave(X))=>(~happy(X)<~>humble(X))))&
(![X]:((calm(X)&generous(X))<=>happy(X)))&
(![X]:((~humble(X)<~>quiet(X))=>(wise(X)&~hap... | ~funny(john) | [
"p2",
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7722338004354072169444860
% SZS output start Proof for 7722338004354072169444860
3. ! [X0] : ((~happy(X0) | ~patient(X0)) <=> (happy(X0) & strong(X0))) [input p2]
6. ! [X0] : ((~humble(X0) <~> quiet(X0)) => (~happy(X0) & wise(X0))) [input p5]
13. ! [X0] : ((funny(X0) <~> ~funny(X0)) => (c... | 0 |
If someone is either happy or not curious then alice is not old or not tall.
If someone is wise then someone is both not wise and tall.
Everyone who is happy is both brave and not humble.
Everyone who is kind is curious and vice versa.
Everyone who is not rich is not wise or patient and vice versa.
If paul is rich or n... | Lucy is calm. | entailment | ((?[X]:((happy(X)<~>~curious(X))))=>((~old(alice)|~tall(alice))))&
((?[X]:(wise(X)))=>(?[X]:((~wise(X)&tall(X)))))&
(![X]:(happy(X)=>(brave(X)&~humble(X))))&
(![X]:(kind(X)<=>curious(X)))&
(![X]:(~rich(X)<=>(~wise(X)|patient(X))))&
(((rich(paul)|~old(paul)))<=>((kind(susan)&~kind(susan))))&
(![X]:(strong(X)=>~patient(X... | calm(lucy) | [
"p1",
"p2",
"p4",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 365655023007499375469026
% SZS output start Proof for 365655023007499375469026
2. ? [X0] : wise(X0) => ? [X0] : (tall(X0) & ~wise(X0)) [input p1]
3. ! [X0] : (happy(X0) => (~humble(X0) & brave(X0))) [input p2]
5. ! [X0] : (~rich(X0) <=> (patient(X0) | ~wise(X0))) [input p4]
10. ! [X0] : (... | 0 |
Everyone who is both patient and wise is not creative or not generous and vice versa. If someone is happy or creative then someone is generous. If fred is either tall or strong then john is not rich. Everyone who is both not quiet and quiet is not creative or not rich and vice versa. Everyone who is both not wise and r... | Alice is not funny. | entailment | (![X]:((patient(X)&wise(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((happy(X)|creative(X))))=>(?[X]:(generous(X))))&
(((tall(fred)<~>strong(fred)))=>(~rich(john)))&
(![X]:((~quiet(X)&quiet(X))<=>(~creative(X)|~rich(X))))&
(![X]:((~wise(X)&rich(X))<=>(~tall(X)<~>~generous(X))))&
(((kind(john)<~>brave(john)))=>(generous... | ~funny(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5144808971077371294239348
% SZS output start Proof for 5144808971077371294239348
4. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~rich(X0) | ~creative(X0))) [input p3]
8. ? [X0] : funny(X0) <=> (generous(alice) & ~rich(alice)) [input p7]
20. funny(alice) [input hypothesis]
34. ! [X0] : (((quie... | 0 |
Everyone who is not happy or not curious is happy or not kind and vice versa.
If paul is not wise or not creative then someone is generous or curious.
Everyone who is not humble or calm is strong.
If lucy is both quiet and not calm then mary is both patient and not generous.
If someone is either not calm or quiet then ... | Paul is strong. | entailment | (![X]:((~happy(X)|~curious(X))<=>(happy(X)|~kind(X))))&
(((~wise(paul)|~creative(paul)))=>(?[X]:((generous(X)|curious(X)))))&
(![X]:((~humble(X)|calm(X))=>strong(X)))&
(((quiet(lucy)&~calm(lucy)))=>((patient(mary)&~generous(mary))))&
((?[X]:((~calm(X)<~>quiet(X))))=>((tall(paul)<~>~brave(paul))))&
(![X]:((~tall(X)|~hap... | strong(paul) | [
"p2",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3369613086584820648737617
% SZS output start Proof for 3369613086584820648737617
3. ! [X0] : ((calm(X0) | ~humble(X0)) => strong(X0)) [input p2]
16. ! [X0] : ((generous(X0) | calm(X0)) <=> (wise(X0) | ~generous(X0))) [input p15]
22. ~humble(paul) <~> ~generous(paul) [input p21]
25. ~stron... | 0 |
If someone is not rich then someone is both not curious and not generous and vice versa. If someone is both not generous and tall then alice is not generous or not old and vice versa. If someone is either brave or not curious then susan is brave or not quiet and vice versa. Everyone who is both not kind and rich is bot... | Lucy is happy. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((~generous(X)&tall(X))))<=>((~generous(alice)|~old(alice))))&
((?[X]:((brave(X)<~>~curious(X))))<=>((brave(susan)|~quiet(susan))))&
(![X]:((~kind(X)&rich(X))<=>(rich(X)&~wise(X))))&
(![X]:((~kind(X)<~>~curious(X))=>(quiet(X)&~funny(X))))&
((?[X]:((~stro... | happy(lucy) | [] | null | 0 |
Everyone who is happy or curious is either rich or not brave and vice versa. Everyone who is both not patient and not kind is not strong and vice versa. Everyone who is patient or rich is curious. If paul is either kind or not tall then someone is both humble and not curious. Everyone who is either not patient or quiet... | Paul is kind. | neutral | (![X]:((happy(X)|curious(X))<=>(rich(X)<~>~brave(X))))&
(![X]:((~patient(X)&~kind(X))<=>~strong(X)))&
(![X]:((patient(X)|rich(X))=>curious(X)))&
(((kind(paul)<~>~tall(paul)))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~patient(X)<~>quiet(X))<=>(wise(X)|humble(X))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:((strong(X)<~>ta... | kind(paul) | [] | null | 0 |
If lucy is not humble then someone is both tall and not patient.
Everyone who is either calm or not calm is not creative.
Everyone who is not rich or not creative is not curious and vice versa.
If alice is both not curious and not humble then someone is both quiet and happy and vice versa.
Everyone who is both not crea... | Lucy is strong. | neutral | ((~humble(lucy))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((calm(X)<~>~calm(X))=>~creative(X)))&
(![X]:((~rich(X)|~creative(X))<=>~curious(X)))&
(((~curious(alice)&~humble(alice)))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((~creative(X)&~tall(X))=>~funny(X)))&
((~brave(paul))<=>(?[X]:((quiet(X)&~patient(X)))))&
((strong(p... | strong(lucy) | [] | null | 0 |
Everyone who is both patient and happy is happy or wise and vice versa. If alice is tall or not rich then someone is either not brave or not wise and vice versa. If paul is both brave and tall then someone is both happy and not curious and vice versa. If susan is not old then fred is not wise or not old. Everyone who i... | Paul is not patient. | neutral | (![X]:((patient(X)&happy(X))<=>(happy(X)|wise(X))))&
(((tall(alice)|~rich(alice)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(((brave(paul)&tall(paul)))<=>(?[X]:((happy(X)&~curious(X)))))&
((~old(susan))=>((~wise(fred)|~old(fred))))&
(![X]:((humble(X)<~>rich(X))<=>~quiet(X)))&
((?[X]:((~rich(X)&brave(X))))=>(?[X]:((old(X)|ri... | ~patient(paul) | [] | null | 0 |
If someone is not curious or rich then someone is both quiet and not curious and vice versa. If someone is either not humble or not curious then susan is both not creative and not old. Everyone who is not rich or not happy is wise and vice versa. Everyone who is not kind or not funny is either quiet or calm and vice ve... | Paul is rich. | contradiction | ((?[X]:((~curious(X)|rich(X))))<=>(?[X]:((quiet(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~curious(X))))=>((~creative(susan)&~old(susan))))&
(![X]:((~rich(X)|~happy(X))<=>wise(X)))&
(![X]:((~kind(X)|~funny(X))<=>(quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|patient(X))=>(~strong(X)<~>old(X))))&
(((rich(paul)&~creative(p... | rich(paul) | [
"p0",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1447560273595494844851647
% SZS output start Proof for 1447560273595494844851647
1. ? [X0] : (rich(X0) | ~curious(X0)) <=> ? [X0] : (~curious(X0) & quiet(X0)) [input p0]
8. ! [X0] : ((~creative(X0) <~> patient(X0)) <=> (brave(X0) & creative(X0))) [input p7]
10. ! [X0] : ((quiet(X0) | ~kin... | 0 |
Everyone who is not generous or not old is quiet or not curious.
Everyone who is happy is quiet and vice versa.
Everyone who is calm or humble is either funny or not humble and vice versa.
Everyone who is not rich or humble is kind or generous and vice versa.
Everyone who is brave or not old is both not wise and curiou... | Paul is not strong. | neutral | (![X]:((~generous(X)|~old(X))=>(quiet(X)|~curious(X))))&
(![X]:(happy(X)<=>quiet(X)))&
(![X]:((calm(X)|humble(X))<=>(funny(X)<~>~humble(X))))&
(![X]:((~rich(X)|humble(X))<=>(kind(X)|generous(X))))&
(![X]:((brave(X)|~old(X))=>(~wise(X)&curious(X))))&
((?[X]:((~patient(X)|~wise(X))))<=>(wise(lucy)))&
(![X]:((~creative(X)... | ~strong(paul) | [] | null | 0 |
Everyone who is not wise or not rich is not funny or not tall. Everyone who is not funny or rich is tall and vice versa. If someone is not brave or kind then john is both not brave and generous. Everyone who is not patient or humble is not kind or kind and vice versa. Everyone who is both brave and tall is not wise or ... | John is not generous. | contradiction | (![X]:((~wise(X)|~rich(X))=>(~funny(X)|~tall(X))))&
(![X]:((~funny(X)|rich(X))<=>tall(X)))&
((?[X]:((~brave(X)|kind(X))))=>((~brave(john)&generous(john))))&
(![X]:((~patient(X)|humble(X))<=>(~kind(X)|kind(X))))&
(![X]:((brave(X)&tall(X))<=>(~wise(X)|patient(X))))&
(![X]:((~funny(X)|tall(X))=>(~calm(X)|patient(X))))&
(!... | ~generous(john) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4886689399500879329833133
% SZS output start Proof for 4886689399500879329833133
2. ! [X0] : ((rich(X0) | ~funny(X0)) <=> tall(X0)) [input p1]
3. ? [X0] : (kind(X0) | ~brave(X0)) => (generous(john) & ~brave(john)) [input p2]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> (kind(X0) | ~kind(X... | 0 |
Everyone who is not strong or strong is wise and vice versa. If someone is not patient then someone is not tall or not strong and vice versa. If lucy is not generous or not rich then lucy is strong or generous and vice versa. If someone is not curious or not rich then john is either not happy or not patient. Everyone w... | Mary is rich. | entailment | (![X]:((~strong(X)|strong(X))<=>wise(X)))&
((?[X]:(~patient(X)))<=>(?[X]:((~tall(X)|~strong(X)))))&
(((~generous(lucy)|~rich(lucy)))<=>((strong(lucy)|generous(lucy))))&
((?[X]:((~curious(X)|~rich(X))))=>((~happy(john)<~>~patient(john))))&
(![X]:((humble(X)|quiet(X))=>~generous(X)))&
((?[X]:((~brave(X)<~>creative(X))))<... | rich(mary) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8366761433354184824865232
% SZS output start Proof for 8366761433354184824865232
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> wise(X0)) [input p0]
15. ? [X0] : ~wise(X0) <=> ? [X0] : (~rich(X0) | funny(X0)) [input p14]
25. ~rich(mary) [input hypothesis]
30. ? [X0] : ~wise(X0) <=> ? [X1] : ... | 0 |
Everyone who is humble or not funny is not generous. If fred is either calm or not old then someone is kind or not curious. If someone is quiet then paul is both brave and not brave and vice versa. If paul is both quiet and happy then someone is not generous or old and vice versa. Everyone who is either not humble or p... | Lucy is old. | contradiction | (![X]:((humble(X)|~funny(X))=>~generous(X)))&
(((calm(fred)<~>~old(fred)))=>(?[X]:((kind(X)|~curious(X)))))&
((?[X]:(quiet(X)))<=>((brave(paul)&~brave(paul))))&
(((quiet(paul)&happy(paul)))<=>(?[X]:((~generous(X)|old(X)))))&
(![X]:((~humble(X)<~>patient(X))<=>(generous(X)|~old(X))))&
(![X]:(~quiet(X)<=>(funny(X)&~humbl... | old(lucy) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3046575320670453562237733
% SZS output start Proof for 3046575320670453562237733
3. ? [X0] : quiet(X0) <=> (~brave(paul) & brave(paul)) [input p2]
4. (happy(paul) & quiet(paul)) <=> ? [X0] : (old(X0) | ~generous(X0)) [input p3]
22. old(lucy) [input hypothesis]
34. (? [X0] : quiet(X0) | (b... | 0 |
If fred is either not old or strong then susan is not tall and vice versa. Everyone who is brave or not tall is both wise and patient. Everyone who is not funny or patient is either tall or generous and vice versa. Everyone who is both creative and not humble is both not brave and tall and vice versa. Everyone who is e... | Alice is not calm. | entailment | (((~old(fred)<~>strong(fred)))<=>(~tall(susan)))&
(![X]:((brave(X)|~tall(X))=>(wise(X)&patient(X))))&
(![X]:((~funny(X)|patient(X))<=>(tall(X)<~>generous(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&tall(X))))&
(![X]:((calm(X)<~>happy(X))=>(funny(X)<~>generous(X))))&
(((~calm(alice)<~>~kind(alice)))=>((brave(sus... | ~calm(alice) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p11",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1499294674190355129213520
% SZS output start Proof for 1499294674190355129213520
2. ! [X0] : ((~tall(X0) | brave(X0)) => (patient(X0) & wise(X0))) [input p1]
3. ! [X0] : ((patient(X0) | ~funny(X0)) <=> (tall(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~humble(X0) & creative(X0)) <=> (... | 0 |
Everyone who is generous is not calm or not patient.
If fred is brave then mary is both not creative and not wise and vice versa.
Everyone who is creative or kind is not happy or generous and vice versa.
If someone is either not curious or strong then someone is not happy or not tall and vice versa.
Everyone who is bot... | Alice is creative. | entailment | (![X]:(generous(X)=>(~calm(X)|~patient(X))))&
((brave(fred))<=>((~creative(mary)&~wise(mary))))&
(![X]:((creative(X)|kind(X))<=>(~happy(X)|generous(X))))&
((?[X]:((~curious(X)<~>strong(X))))<=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~funny(X)&tall(X))=>(~calm(X)|~creative(X))))&
((?[X]:((~generous(X)&patient(X))))<=>(?... | creative(alice) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1259438784062519195152137
% SZS output start Proof for 1259438784062519195152137
12. (~generous(alice) & quiet(alice)) <=> ? [X0] : (patient(X0) | ~patient(X0)) [input p11]
22. ~generous(alice) <~> ~creative(alice) [input p21]
25. ~creative(alice) [input hypothesis]
61. ((~generous(alice)... | 0 |
Everyone who is both rich and kind is both not creative and rich and vice versa. Everyone who is not quiet is wise or not calm and vice versa. Everyone who is either tall or calm is not quiet and vice versa. Everyone who is tall is not funny or not rich and vice versa. Everyone who is not strong is either rich or wise.... | Mary is rich. | neutral | (![X]:((rich(X)&kind(X))<=>(~creative(X)&rich(X))))&
(![X]:(~quiet(X)<=>(wise(X)|~calm(X))))&
(![X]:((tall(X)<~>calm(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~funny(X)|~rich(X))))&
(![X]:(~strong(X)=>(rich(X)<~>wise(X))))&
(![X]:(~old(X)=>~kind(X)))&
(((calm(paul)<~>~rich(paul)))=>((~humble(john)|kind(john))))&
((~funny(lu... | rich(mary) | [] | null | 0 |
Everyone who is either not curious or creative is not humble and vice versa.
If susan is both curious and not wise then someone is either not generous or not rich and vice versa.
Everyone who is both humble and calm is old or creative and vice versa.
If someone is both wise and generous then someone is both not kind an... | Susan is old. | contradiction | (![X]:((~curious(X)<~>creative(X))<=>~humble(X)))&
(((curious(susan)&~wise(susan)))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(![X]:((humble(X)&calm(X))<=>(old(X)|creative(X))))&
((?[X]:((wise(X)&generous(X))))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(strong(X)<=>(~happy(X)|patient(X))))&
(![X]:((calm(X)<~>~brave(X))<=>funny... | old(susan) | [
"p2",
"p4",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6256291415328060358358674
% SZS output start Proof for 6256291415328060358358674
3. ! [X0] : ((calm(X0) & humble(X0)) <=> (creative(X0) | old(X0))) [input p2]
5. ! [X0] : (strong(X0) <=> (patient(X0) | ~happy(X0))) [input p4]
7. ! [X0] : (brave(X0) => (funny(X0) <~> ~strong(X0))) [input p... | 0 |
Everyone who is both not rich and humble is rich or calm and vice versa. If someone is patient or not creative then someone is either old or funny. If someone is both wise and kind then someone is humble. If john is generous then someone is not generous or strong and vice versa. If lucy is generous or patient then john... | Susan is humble. | contradiction | (![X]:((~rich(X)&humble(X))<=>(rich(X)|calm(X))))&
((?[X]:((patient(X)|~creative(X))))=>(?[X]:((old(X)<~>funny(X)))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:(humble(X))))&
((generous(john))<=>(?[X]:((~generous(X)|strong(X)))))&
(((generous(lucy)|patient(lucy)))=>((old(john)|~humble(john))))&
((?[X]:((~funny(X)&curious(X))... | humble(susan) | [
"p0",
"p8",
"p13",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7384773830568417763432020
% SZS output start Proof for 7384773830568417763432020
1. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p0]
9. ! [X0] : (happy(X0) <=> (calm(X0) & creative(X0))) [input p8]
14. ! [X0] : ((wise(X0) | ~creative(X0)) => ~calm(X0)) [input p13]
... | 0 |
If someone is either generous or not brave then susan is rich or not old and vice versa.
Everyone who is both happy and not rich is generous.
If lucy is either patient or strong then lucy is not funny.
Everyone who is rich or calm is both not humble and generous.
If alice is not humble then someone is not patient and v... | Susan is calm. | entailment | ((?[X]:((generous(X)<~>~brave(X))))<=>((rich(susan)|~old(susan))))&
(![X]:((happy(X)&~rich(X))=>generous(X)))&
(((patient(lucy)<~>strong(lucy)))=>(~funny(lucy)))&
(![X]:((rich(X)|calm(X))=>(~humble(X)&generous(X))))&
((~humble(alice))<=>(?[X]:(~patient(X))))&
(![X]:((~tall(X)&calm(X))<=>(~patient(X)<~>patient(X))))&
(!... | calm(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4729991210919750581484383
% SZS output start Proof for 4729991210919750581484383
6. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~patient(X0) <~> patient(X0))) [input p5]
24. ~calm(susan) [input hypothesis]
45. ! [X0] : (((calm(X0) & ~tall(X0)) | ((~patient(X0) | ~patient(X0)) & (patient(X0) | p... | 0 |
Everyone who is wise or not strong is not kind and vice versa.
Everyone who is not creative or not kind is brave.
Everyone who is either not funny or not humble is either not generous or not curious and vice versa.
If someone is both quiet and creative then someone is both old and not happy.
Everyone who is both not fu... | John is happy. | contradiction | (![X]:((wise(X)|~strong(X))<=>~kind(X)))&
(![X]:((~creative(X)|~kind(X))=>brave(X)))&
(![X]:((~funny(X)<~>~humble(X))<=>(~generous(X)<~>~curious(X))))&
((?[X]:((quiet(X)&creative(X))))=>(?[X]:((old(X)&~happy(X)))))&
(![X]:((~funny(X)&~happy(X))<=>~wise(X)))&
((?[X]:((quiet(X)<~>~rich(X))))<=>(?[X]:((calm(X)&tall(X)))))... | happy(john) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1304703260429610699239562
% SZS output start Proof for 1304703260429610699239562
10. (~patient(john) & ~happy(john)) <=> (~kind(lucy) | tall(lucy)) [input p9]
13. ! [X0] : ((~happy(X0) & tall(X0)) <=> (humble(X0) | kind(X0))) [input p12]
24. happy(john) [input hypothesis]
60. ((~patient(j... | 0 |
If someone is happy then someone is kind or rich and vice versa. Everyone who is both brave and curious is both brave and not old and vice versa. Everyone who is not brave or brave is both not old and strong. Everyone who is strong is both not creative and not brave and vice versa. If lucy is either rich or calm then p... | Paul is not generous. | contradiction | ((?[X]:(happy(X)))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((brave(X)&curious(X))<=>(brave(X)&~old(X))))&
(![X]:((~brave(X)|brave(X))=>(~old(X)&strong(X))))&
(![X]:(strong(X)<=>(~creative(X)&~brave(X))))&
(((rich(lucy)<~>calm(lucy)))=>(~brave(paul)))&
(![X]:(~old(X)=>(wise(X)<~>creative(X))))&
(![X]:((patient(X)&humble(X)... | ~generous(paul) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6522897323498006794995656
% SZS output start Proof for 6522897323498006794995656
3. ! [X0] : ((brave(X0) | ~brave(X0)) => (strong(X0) & ~old(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> (~brave(X0) & ~creative(X0))) [input p3]
6. ! [X0] : (~old(X0) => (wise(X0) <~> creative(X0))) [input p... | 0 |
If alice is either not rich or tall then someone is both funny and creative and vice versa. Everyone who is both not funny and not wise is either not funny or creative and vice versa. If paul is either not calm or tall then fred is both creative and quiet. If lucy is either humble or not curious then susan is either no... | Susan is creative. | neutral | (((~rich(alice)<~>tall(alice)))<=>(?[X]:((funny(X)&creative(X)))))&
(![X]:((~funny(X)&~wise(X))<=>(~funny(X)<~>creative(X))))&
(((~calm(paul)<~>tall(paul)))=>((creative(fred)&quiet(fred))))&
(((humble(lucy)<~>~curious(lucy)))<=>((~brave(susan)<~>rich(susan))))&
(![X]:((~patient(X)&old(X))=>(tall(X)&humble(X))))&
(![X]:... | creative(susan) | [] | null | 0 |
Everyone who is either not kind or not wise is generous and vice versa. Everyone who is funny is either not patient or creative and vice versa. Everyone who is both not curious and not quiet is both creative and funny and vice versa. If mary is either not happy or not patient then someone is funny or curious. If john i... | Lucy is tall. | contradiction | (![X]:((~kind(X)<~>~wise(X))<=>generous(X)))&
(![X]:(funny(X)<=>(~patient(X)<~>creative(X))))&
(![X]:((~curious(X)&~quiet(X))<=>(creative(X)&funny(X))))&
(((~happy(mary)<~>~patient(mary)))=>(?[X]:((funny(X)|curious(X)))))&
((quiet(john))=>((~quiet(fred)<~>funny(fred))))&
(![X]:((~creative(X)<~>strong(X))<=>kind(X)))&
(... | tall(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4030269818585914837801309
% SZS output start Proof for 4030269818585914837801309
20. ~tall(lucy) [input p19]
25. tall(lucy) [input hypothesis]
147. ~tall(lucy) [cnf transformation 20]
153. tall(lucy) [cnf transformation 25]
355. $false [subsumption resolution 153,147]
% SZS output end Pro... | 0 |
If john is calm then someone is either happy or quiet and vice versa. If someone is kind or happy then mary is either not tall or patient. Everyone who is both not tall and calm is brave or not rich and vice versa. If paul is tall then alice is both curious and wise and vice versa. Everyone who is tall or humble is kin... | Alice is not wise. | contradiction | ((calm(john))<=>(?[X]:((happy(X)<~>quiet(X)))))&
((?[X]:((kind(X)|happy(X))))=>((~tall(mary)<~>patient(mary))))&
(![X]:((~tall(X)&calm(X))<=>(brave(X)|~rich(X))))&
((tall(paul))<=>((curious(alice)&wise(alice))))&
(![X]:((tall(X)|humble(X))<=>(kind(X)|creative(X))))&
(![X]:(old(X)<=>(rich(X)<~>funny(X))))&
(![X]:((~happ... | ~wise(alice) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3278939684433163901611606
% SZS output start Proof for 3278939684433163901611606
4. tall(paul) <=> (wise(alice) & curious(alice)) [input p3]
10. ? [X0] : (quiet(X0) | ~tall(X0)) => ? [X0] : (kind(X0) & ~kind(X0)) [input p9]
24. ~wise(alice) [input hypothesis]
25. ? [X0] : (quiet(X0) | ~ta... | 0 |
Everyone who is either not generous or old is both happy and not funny and vice versa. Everyone who is not curious is both not generous and not quiet and vice versa. If someone is both funny and wise then someone is either wise or rich. Everyone who is both not rich and patient is either not kind or strong. If someone ... | Susan is not quiet. | neutral | (![X]:((~generous(X)<~>old(X))<=>(happy(X)&~funny(X))))&
(![X]:(~curious(X)<=>(~generous(X)&~quiet(X))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~rich(X)&patient(X))=>(~kind(X)<~>strong(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((strong(X)|curious(X)))))&
((?[X]:((~generous(X)|old(X))))... | ~quiet(susan) | [] | null | 0 |
If alice is not patient or not funny then someone is not generous or brave and vice versa.
Everyone who is both not wise and not quiet is happy or creative.
If lucy is both not curious and not tall then someone is both tall and kind.
If someone is kind or not calm then someone is strong or humble and vice versa.
Everyo... | Fred is not wise. | contradiction | (((~patient(alice)|~funny(alice)))<=>(?[X]:((~generous(X)|brave(X)))))&
(![X]:((~wise(X)&~quiet(X))=>(happy(X)|creative(X))))&
(((~curious(lucy)&~tall(lucy)))=>(?[X]:((tall(X)&kind(X)))))&
((?[X]:((kind(X)|~calm(X))))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:(generous(X)=>(~brave(X)&~creative(X))))&
(![X]:((~wise(X)&~c... | ~wise(fred) | [
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 879105760617874989238235
% SZS output start Proof for 879105760617874989238235
11. ! [X0] : ((kind(X0) | calm(X0)) => (humble(X0) & ~wise(X0))) [input p10]
12. ! [X0] : ((calm(X0) & ~kind(X0)) <=> (patient(X0) | ~brave(X0))) [input p11]
13. ! [X0] : ((brave(X0) | calm(X0)) => (old(X0) & w... | 0 |
If someone is tall or not wise then susan is either brave or not quiet. If someone is either tall or calm then fred is either not strong or not patient and vice versa. If lucy is not brave then john is both wise and calm and vice versa. Everyone who is not generous is either curious or rich and vice versa. If john is e... | Paul is not wise. | neutral | ((?[X]:((tall(X)|~wise(X))))=>((brave(susan)<~>~quiet(susan))))&
((?[X]:((tall(X)<~>calm(X))))<=>((~strong(fred)<~>~patient(fred))))&
((~brave(lucy))<=>((wise(john)&calm(john))))&
(![X]:(~generous(X)<=>(curious(X)<~>rich(X))))&
(((wise(john)<~>happy(john)))=>((~funny(john)<~>happy(john))))&
(((curious(paul)&generous(pa... | ~wise(paul) | [] | null | 0 |
If fred is either not old or not quiet then alice is both patient and not quiet and vice versa.
Everyone who is creative is either not creative or patient and vice versa.
If john is not patient or patient then someone is both old and not rich and vice versa.
If mary is calm or kind then lucy is not generous or funny an... | Lucy is curious. | neutral | (((~old(fred)<~>~quiet(fred)))<=>((patient(alice)&~quiet(alice))))&
(![X]:(creative(X)<=>(~creative(X)<~>patient(X))))&
(((~patient(john)|patient(john)))<=>(?[X]:((old(X)&~rich(X)))))&
(((calm(mary)|kind(mary)))<=>((~generous(lucy)|funny(lucy))))&
(![X]:((rich(X)|~funny(X))<=>creative(X)))&
(![X]:(quiet(X)<=>(wise(X)|~... | curious(lucy) | [] | null | 0 |
If susan is humble then someone is not quiet or not humble and vice versa. If someone is either generous or funny then john is funny and vice versa. Everyone who is either not kind or not happy is patient and vice versa. If someone is strong or not happy then someone is generous or patient and vice versa. If mary is ol... | Susan is kind. | entailment | ((humble(susan))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((generous(X)<~>funny(X))))<=>(funny(john)))&
(![X]:((~kind(X)<~>~happy(X))<=>patient(X)))&
((?[X]:((strong(X)|~happy(X))))<=>(?[X]:((generous(X)|patient(X)))))&
((old(mary))<=>(?[X]:((~brave(X)&~humble(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((tall(X)<~>brave(X))))... | kind(susan) | [
"p5",
"p6",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8287403206055364477994534
% SZS output start Proof for 8287403206055364477994534
6. ? [X0] : quiet(X0) => ? [X0] : (tall(X0) <~> brave(X0)) [input p5]
7. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~calm(X0) <~> brave(X0))) [input p6]
13. ! [X0] : ((~quiet(X0) | generous(X0)) => (tall(X0) <~... | 0 |
Everyone who is both strong and not funny is brave or strong.
Everyone who is not strong or happy is both rich and not quiet and vice versa.
If fred is not funny then fred is either calm or wise and vice versa.
Everyone who is generous is either not creative or kind.
If susan is not tall or calm then lucy is wise or no... | Alice is not wise. | entailment | (![X]:((strong(X)&~funny(X))=>(brave(X)|strong(X))))&
(![X]:((~strong(X)|happy(X))<=>(rich(X)&~quiet(X))))&
((~funny(fred))<=>((calm(fred)<~>wise(fred))))&
(![X]:(generous(X)=>(~creative(X)<~>kind(X))))&
(((~tall(susan)|calm(susan)))=>((wise(lucy)|~creative(lucy))))&
((?[X]:((generous(X)|~wise(X))))=>(?[X]:(~generous(X... | ~wise(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6578894809507851671389019
% SZS output start Proof for 6578894809507851671389019
19. ~generous(alice) & ~wise(alice) [input p18]
25. wise(alice) [input hypothesis]
121. ~wise(alice) [cnf transformation 19]
130. wise(alice) [cnf transformation 25]
259. $false [subsumption resolution 130,12... | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Susan is quiet. | contradiction | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | quiet(susan) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 620546809264096631212882
% SZS output start Proof for 620546809264096631212882
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> (~... | 0 |
If paul is either not curious or quiet then someone is both not humble and calm and vice versa.
Everyone who is strong or not curious is both not strong and wise.
Everyone who is rich or not generous is not brave.
If john is wise or not generous then paul is happy or not generous and vice versa.
If someone is patient t... | Mary is old. | neutral | (((~curious(paul)<~>quiet(paul)))<=>(?[X]:((~humble(X)&calm(X)))))&
(![X]:((strong(X)|~curious(X))=>(~strong(X)&wise(X))))&
(![X]:((rich(X)|~generous(X))=>~brave(X)))&
(((wise(john)|~generous(john)))<=>((happy(paul)|~generous(paul))))&
((?[X]:(patient(X)))=>(?[X]:((~rich(X)&rich(X)))))&
((?[X]:((~brave(X)<~>~patient(X)... | old(mary) | [] | null | 0 |
Everyone who is not creative is rich and vice versa. Everyone who is not funny is either not brave or generous. Everyone who is strong is both not kind and not tall. If someone is either not wise or calm then john is generous. If someone is either not generous or happy then someone is both generous and not calm. If som... | Fred is not strong. | contradiction | (![X]:(~creative(X)<=>rich(X)))&
(![X]:(~funny(X)=>(~brave(X)<~>generous(X))))&
(![X]:(strong(X)=>(~kind(X)&~tall(X))))&
((?[X]:((~wise(X)<~>calm(X))))=>(generous(john)))&
((?[X]:((~generous(X)<~>happy(X))))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:(curious(X)))=>(?[X]:((~tall(X)|patient(X)))))&
(![X]:((old(X)&tall(X)... | ~strong(fred) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1704830932443336734367266
% SZS output start Proof for 1704830932443336734367266
10. ! [X0] : ((~tall(X0) | old(X0)) <=> (~rich(X0) & ~old(X0))) [input p9]
20. strong(fred) <~> old(fred) [input p19]
23. ~strong(fred) [input hypothesis]
55. ! [X0] : (((~tall(X0) | old(X0)) | (rich(X0) | ol... | 0 |
If someone is either calm or not funny then lucy is both happy and generous and vice versa.
If paul is tall then someone is brave or calm and vice versa.
Everyone who is brave or humble is both rich and not wise and vice versa.
If someone is either not humble or not creative then paul is not creative and vice versa.
If... | John is rich. | entailment | ((?[X]:((calm(X)<~>~funny(X))))<=>((happy(lucy)&generous(lucy))))&
((tall(paul))<=>(?[X]:((brave(X)|calm(X)))))&
(![X]:((brave(X)|humble(X))<=>(rich(X)&~wise(X))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>(~creative(paul)))&
((?[X]:(tall(X)))<=>(?[X]:((~patient(X)|creative(X)))))&
((?[X]:((~brave(X)<~>~wise(X))))<=>(?[... | rich(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5015068442470795840231424
% SZS output start Proof for 5015068442470795840231424
19. rich(john) [input p18]
25. ~rich(john) [input hypothesis]
139. rich(john) [cnf transformation 19]
147. ~rich(john) [cnf transformation 25]
335. $false [subsumption resolution 147,139]
% SZS output end Pro... | 0 |
If alice is both not calm and not kind then someone is tall and vice versa.
If someone is either quiet or humble then mary is either not patient or creative and vice versa.
Everyone who is either old or brave is not generous.
If lucy is both calm and quiet then paul is not old or not creative and vice versa.
Everyone w... | John is curious. | entailment | (((~calm(alice)&~kind(alice)))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)<~>humble(X))))<=>((~patient(mary)<~>creative(mary))))&
(![X]:((old(X)<~>brave(X))=>~generous(X)))&
(((calm(lucy)&quiet(lucy)))<=>((~old(paul)|~creative(paul))))&
(![X]:((curious(X)<~>~rich(X))=>patient(X)))&
(![X]:((~funny(X)<~>~happy(X))<=>(old(X)&k... | curious(john) | [
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4469790357264854755912875
% SZS output start Proof for 4469790357264854755912875
8. (~calm(john) & curious(john)) <=> ? [X0] : quiet(X0) [input p7]
9. ! [X0] : ((calm(X0) & curious(X0)) <=> (curious(X0) <~> ~funny(X0))) [input p8]
13. ! [X0] : (~curious(X0) => (~funny(X0) <~> quiet(X0))) ... | 0 |
If someone is either not creative or not generous then mary is old.
Everyone who is rich or not brave is both not strong and rich.
Everyone who is not strong or old is both strong and not patient and vice versa.
Everyone who is either not wise or not humble is either not quiet or old and vice versa.
Everyone who is bot... | Susan is creative. | neutral | ((?[X]:((~creative(X)<~>~generous(X))))=>(old(mary)))&
(![X]:((rich(X)|~brave(X))=>(~strong(X)&rich(X))))&
(![X]:((~strong(X)|old(X))<=>(strong(X)&~patient(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~quiet(X)<~>old(X))))&
(![X]:((curious(X)&humble(X))<=>(~calm(X)<~>~happy(X))))&
((?[X]:((~patient(X)&humble(X))))<=>(?[X]:... | creative(susan) | [] | null | 0 |
If susan is both not calm and humble then lucy is both calm and not strong and vice versa. If paul is not brave then someone is not happy and vice versa. Everyone who is calm or not tall is either not quiet or not calm and vice versa. Everyone who is both not brave and old is either kind or not funny and vice versa. Ev... | Paul is not tall. | entailment | (((~calm(susan)&humble(susan)))<=>((calm(lucy)&~strong(lucy))))&
((~brave(paul))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|~tall(X))<=>(~quiet(X)<~>~calm(X))))&
(![X]:((~brave(X)&old(X))<=>(kind(X)<~>~funny(X))))&
(![X]:((calm(X)<~>~patient(X))<=>(calm(X)&~patient(X))))&
((?[X]:(rich(X)))<=>((~creative(paul)<~>~calm(paul)... | ~tall(paul) | [
"p2",
"p4",
"p5",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7365647624860852847806021
% SZS output start Proof for 7365647624860852847806021
3. ! [X0] : ((~tall(X0) | calm(X0)) <=> (~quiet(X0) <~> ~calm(X0))) [input p2]
5. ! [X0] : ((calm(X0) <~> ~patient(X0)) <=> (~patient(X0) & calm(X0))) [input p4]
6. ? [X0] : rich(X0) <=> (~creative(paul) <~> ... | 0 |
Everyone who is either humble or not kind is both wise and tall and vice versa. If john is both not wise and not brave then lucy is either not strong or not funny and vice versa. If alice is not funny then susan is both not humble and tall and vice versa. Everyone who is both quiet and tall is calm. If someone is eithe... | Alice is quiet. | contradiction | (![X]:((humble(X)<~>~kind(X))<=>(wise(X)&tall(X))))&
(((~wise(john)&~brave(john)))<=>((~strong(lucy)<~>~funny(lucy))))&
((~funny(alice))<=>((~humble(susan)&tall(susan))))&
(![X]:((quiet(X)&tall(X))=>calm(X)))&
((?[X]:((~happy(X)<~>~funny(X))))=>((funny(fred)<~>quiet(fred))))&
(((rich(paul)|old(paul)))=>(rich(lucy)))&
(... | quiet(alice) | [
"p2",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 786887950566233524430326
% SZS output start Proof for 786887950566233524430326
3. ~funny(alice) <=> (tall(susan) & ~humble(susan)) [input p2]
11. ! [X0] : (tall(X0) <=> quiet(X0)) [input p10]
16. ! [X0] : ((humble(X0) <~> wise(X0)) <=> (~quiet(X0) | ~wise(X0))) [input p15]
24. quiet(alice... | 0 |
Everyone who is not wise is not creative or wise and vice versa.
If someone is both generous and creative then fred is either not brave or wise.
Everyone who is either happy or not wise is either happy or rich and vice versa.
If someone is both not old and funny then someone is old and vice versa.
If john is both not p... | Susan is not tall. | neutral | (![X]:(~wise(X)<=>(~creative(X)|wise(X))))&
((?[X]:((generous(X)&creative(X))))=>((~brave(fred)<~>wise(fred))))&
(![X]:((happy(X)<~>~wise(X))<=>(happy(X)<~>rich(X))))&
((?[X]:((~old(X)&funny(X))))<=>(?[X]:(old(X))))&
(((~patient(john)&~strong(john)))=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((brave(X)|rich(X))=>(generous... | ~tall(susan) | [] | null | 0 |
If susan is either tall or not curious then susan is both not patient and not happy.
Everyone who is generous is tall and vice versa.
If fred is not brave then someone is either creative or not happy and vice versa.
If paul is both not strong and not old then someone is not tall or not brave and vice versa.
Everyone wh... | Paul is humble. | neutral | (((tall(susan)<~>~curious(susan)))=>((~patient(susan)&~happy(susan))))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))... | humble(paul) | [] | null | 0 |
Everyone who is both patient and old is not curious.
If someone is both patient and not rich then someone is not creative and vice versa.
Everyone who is both not calm and strong is funny and vice versa.
If someone is rich then fred is quiet.
If alice is both happy and not wise then someone is both not old and not stro... | Paul is happy. | entailment | (![X]:((patient(X)&old(X))=>~curious(X)))&
((?[X]:((patient(X)&~rich(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~calm(X)&strong(X))<=>funny(X)))&
((?[X]:(rich(X)))=>(quiet(fred)))&
(((happy(alice)&~wise(alice)))<=>(?[X]:((~old(X)&~strong(X)))))&
((?[X]:((~calm(X)<~>calm(X))))<=>(?[X]:((old(X)|~creative(X)))))&
(((humble(f... | happy(paul) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3455780203968409356765510
% SZS output start Proof for 3455780203968409356765510
16. ? [X0] : ~happy(X0) => happy(paul) [input p15]
20. ? [X0] : ~happy(X0) [input p19]
24. ~happy(paul) [input hypothesis]
39. happy(paul) | ! [X0] : happy(X0) [ennf transformation 16]
81. ? [X0] : ~happy(X0)... | 0 |
Everyone who is both not strong and brave is either not strong or old and vice versa. If mary is creative then fred is generous and vice versa. If someone is not calm then susan is either patient or rich and vice versa. Everyone who is brave is rich or not funny and vice versa. Everyone who is either old or strong is b... | John is patient. | contradiction | (![X]:((~strong(X)&brave(X))<=>(~strong(X)<~>old(X))))&
((creative(mary))<=>(generous(fred)))&
((?[X]:(~calm(X)))<=>((patient(susan)<~>rich(susan))))&
(![X]:(brave(X)<=>(rich(X)|~funny(X))))&
(![X]:((old(X)<~>strong(X))<=>brave(X)))&
(![X]:((wise(X)<~>creative(X))=>(strong(X)<~>quiet(X))))&
(((quiet(mary)&strong(mary))... | patient(john) | [
"p0",
"p3",
"p4",
"p7",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7905611902583975950770266
% SZS output start Proof for 7905611902583975950770266
1. ! [X0] : ((brave(X0) & ~strong(X0)) <=> (~strong(X0) <~> old(X0))) [input p0]
4. ! [X0] : (brave(X0) <=> (~funny(X0) | rich(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> strong(X0)) <=> brave(X0)) [input p4]
... | 0 |
Everyone who is funny is not generous.
Everyone who is wise is not happy and vice versa.
Everyone who is not quiet is not generous or wise.
Everyone who is strong is both creative and calm.
Everyone who is strong is strong or not patient.
If john is brave or not funny then someone is quiet or not quiet.
If john is not ... | John is humble. | neutral | (![X]:(funny(X)=>~generous(X)))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:(~quiet(X)=>(~generous(X)|wise(X))))&
(![X]:(strong(X)=>(creative(X)&calm(X))))&
(![X]:(strong(X)=>(strong(X)|~patient(X))))&
(((brave(john)|~funny(john)))=>(?[X]:((quiet(X)|~quiet(X)))))&
((~calm(john))=>((~kind(alice)|old(alice))))&
(![X]:((tall(X)&... | humble(john) | [] | null | 0 |
If susan is both not curious and not generous then fred is not creative. Everyone who is both humble and calm is either kind or not quiet. If fred is both calm and not humble then someone is wise or not generous and vice versa. If alice is both not happy and not creative then lucy is curious or rich and vice versa. Eve... | Mary is not humble. | neutral | (((~curious(susan)&~generous(susan)))=>(~creative(fred)))&
(![X]:((humble(X)&calm(X))=>(kind(X)<~>~quiet(X))))&
(((calm(fred)&~humble(fred)))<=>(?[X]:((wise(X)|~generous(X)))))&
(((~happy(alice)&~creative(alice)))<=>((curious(lucy)|rich(lucy))))&
(![X]:((tall(X)|curious(X))=>~kind(X)))&
(![X]:((quiet(X)<~>~rich(X))<=>~... | ~humble(mary) | [] | null | 0 |
If lucy is not brave then lucy is either not creative or strong and vice versa.
Everyone who is brave or strong is both humble and brave and vice versa.
Everyone who is both brave and quiet is not wise.
Everyone who is not tall or patient is not patient or old and vice versa.
Everyone who is either brave or old is both... | Lucy is humble. | entailment | ((~brave(lucy))<=>((~creative(lucy)<~>strong(lucy))))&
(![X]:((brave(X)|strong(X))<=>(humble(X)&brave(X))))&
(![X]:((brave(X)&quiet(X))=>~wise(X)))&
(![X]:((~tall(X)|patient(X))<=>(~patient(X)|old(X))))&
(![X]:((brave(X)<~>old(X))<=>(patient(X)&funny(X))))&
(![X]:(~quiet(X)<=>(generous(X)<~>~strong(X))))&
(![X]:((~brav... | humble(lucy) | [
"p1",
"p3",
"p4",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2953926027590405680269621
% SZS output start Proof for 2953926027590405680269621
2. ! [X0] : ((strong(X0) | brave(X0)) <=> (brave(X0) & humble(X0))) [input p1]
4. ! [X0] : ((patient(X0) | ~tall(X0)) <=> (old(X0) | ~patient(X0))) [input p3]
5. ! [X0] : ((brave(X0) <~> old(X0)) <=> (funny(X... | 0 |
Everyone who is either old or not old is both funny and patient and vice versa.
Everyone who is curious is kind or brave.
If someone is both not wise and not patient then someone is either creative or rich.
Everyone who is humble or quiet is not rich and vice versa.
Everyone who is not wise is both curious and creative... | Alice is not creative. | entailment | (![X]:((old(X)<~>~old(X))<=>(funny(X)&patient(X))))&
(![X]:(curious(X)=>(kind(X)|brave(X))))&
((?[X]:((~wise(X)&~patient(X))))=>(?[X]:((creative(X)<~>rich(X)))))&
(![X]:((humble(X)|quiet(X))<=>~rich(X)))&
(![X]:(~wise(X)<=>(curious(X)&creative(X))))&
((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]... | ~creative(alice) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3288120925973631596558503
% SZS output start Proof for 3288120925973631596558503
11. ! [X0] : ((~kind(X0) | creative(X0)) => (kind(X0) & ~generous(X0))) [input p10]
16. generous(alice) & funny(alice) [input p15]
22. creative(alice) [input hypothesis]
29. ! [X0] : ((kind(X0) & ~generous(X0... | 0 |
Everyone who is both brave and not funny is either generous or funny and vice versa.
If someone is not kind or curious then fred is not wise and vice versa.
If lucy is creative then susan is both not quiet and not rich and vice versa.
If john is tall then alice is either curious or not patient.
If someone is either ric... | Mary is creative. | contradiction | (![X]:((brave(X)&~funny(X))<=>(generous(X)<~>funny(X))))&
((?[X]:((~kind(X)|curious(X))))<=>(~wise(fred)))&
((creative(lucy))<=>((~quiet(susan)&~rich(susan))))&
((tall(john))=>((curious(alice)<~>~patient(alice))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:((old(X)&quiet(X)))))&
(![X]:((tall(X)<~>happy(X))=>(~creative(X)<~... | creative(mary) | [
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2874294903357495572598510
% SZS output start Proof for 2874294903357495572598510
6. ! [X0] : ((tall(X0) <~> happy(X0)) => (~creative(X0) <~> ~happy(X0))) [input p5]
8. ! [X0] : ((~tall(X0) <~> happy(X0)) => (wise(X0) & happy(X0))) [input p7]
9. ? [X0] : (creative(X0) & ~tall(X0)) <=> ? [X... | 0 |
Everyone who is both curious and not humble is not kind or not patient and vice versa. Everyone who is both not wise and brave is either not wise or wise and vice versa. Everyone who is happy or quiet is not funny and vice versa. If john is both not creative and not brave then someone is humble and vice versa. Everyone... | Lucy is not humble. | entailment | (![X]:((curious(X)&~humble(X))<=>(~kind(X)|~patient(X))))&
(![X]:((~wise(X)&brave(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((happy(X)|quiet(X))<=>~funny(X)))&
(((~creative(john)&~brave(john)))<=>(?[X]:(humble(X))))&
(![X]:((~creative(X)&~strong(X))=>(~generous(X)&brave(X))))&
(![X]:((kind(X)<~>wise(X))=>(~wise(X)&patient(X)... | ~humble(lucy) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4877390806023303735548647
% SZS output start Proof for 4877390806023303735548647
2. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (~wise(X0) <~> wise(X0))) [input p1]
4. (~brave(john) & ~creative(john)) <=> ? [X0] : humble(X0) [input p3]
25. humble(lucy) [input hypothesis]
46. ! [X0] : (((brave(X... | 0 |
Everyone who is not happy is humble. Everyone who is not generous is not humble. Everyone who is either not tall or not funny is both not strong and old. If lucy is rich then someone is old. If someone is not happy or not brave then someone is both not generous and creative and vice versa. If someone is curious then so... | Lucy is brave. | entailment | (![X]:(~happy(X)=>humble(X)))&
(![X]:(~generous(X)=>~humble(X)))&
(![X]:((~tall(X)<~>~funny(X))=>(~strong(X)&old(X))))&
((rich(lucy))=>(?[X]:(old(X))))&
((?[X]:((~happy(X)|~brave(X))))<=>(?[X]:((~generous(X)&creative(X)))))&
((?[X]:(curious(X)))<=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:((~happy(X)&~curious(X))<=>(~funny... | brave(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 695830052258936741488744
% SZS output start Proof for 695830052258936741488744
11. ! [X0] : ((brave(X0) <~> calm(X0)) <=> ~calm(X0)) [input p10]
25. ~brave(lucy) [input hypothesis]
59. ! [X0] : ((((~calm(X0) | ~brave(X0)) & (calm(X0) | brave(X0))) | calm(X0)) & (~calm(X0) | ((brave(X0) | ... | 0 |
Everyone who is either not patient or kind is strong and vice versa. Everyone who is not patient or not happy is both calm and rich and vice versa. Everyone who is both not rich and not curious is either tall or not kind. Everyone who is not rich is either patient or happy. Everyone who is both humble and quiet is both... | Mary is not old. | neutral | (![X]:((~patient(X)<~>kind(X))<=>strong(X)))&
(![X]:((~patient(X)|~happy(X))<=>(calm(X)&rich(X))))&
(![X]:((~rich(X)&~curious(X))=>(tall(X)<~>~kind(X))))&
(![X]:(~rich(X)=>(patient(X)<~>happy(X))))&
(![X]:((humble(X)&quiet(X))=>(~creative(X)&~tall(X))))&
(![X]:((creative(X)&~rich(X))=>(~old(X)<~>~brave(X))))&
((?[X]:(c... | ~old(mary) | [] | null | 0 |
Everyone who is not quiet or not creative is both not strong and not generous and vice versa.
If someone is both rich and not strong then john is not humble or strong and vice versa.
Everyone who is funny or not humble is either not brave or generous and vice versa.
Everyone who is either not patient or not creative is... | Fred is rich. | entailment | (![X]:((~quiet(X)|~creative(X))<=>(~strong(X)&~generous(X))))&
((?[X]:((rich(X)&~strong(X))))<=>((~humble(john)|strong(john))))&
(![X]:((funny(X)|~humble(X))<=>(~brave(X)<~>generous(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>(~generous(X)&~calm(X))))&
(![X]:((quiet(X)&~rich(X))=>rich(X)))&
(![X]:((~tall(X)<~>tall(X))... | rich(fred) | [
"p0",
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2469775702528282207762181
% SZS output start Proof for 2469775702528282207762181
1. ! [X0] : ((~creative(X0) | ~quiet(X0)) <=> (~generous(X0) & ~strong(X0))) [input p0]
5. ! [X0] : ((~rich(X0) & quiet(X0)) => rich(X0)) [input p4]
18. strong(fred) [input p17]
24. ~rich(fred) [input hypothe... | 0 |
Everyone who is both funny and not old is both not strong and creative.
Everyone who is both not brave and not patient is both brave and tall.
Everyone who is either creative or tall is not old or wise and vice versa.
Everyone who is either not rich or not strong is not wise.
If paul is both kind and tall then someone ... | Mary is old. | neutral | (![X]:((funny(X)&~old(X))=>(~strong(X)&creative(X))))&
(![X]:((~brave(X)&~patient(X))=>(brave(X)&tall(X))))&
(![X]:((creative(X)<~>tall(X))<=>(~old(X)|wise(X))))&
(![X]:((~rich(X)<~>~strong(X))=>~wise(X)))&
(((kind(paul)&tall(paul)))<=>(?[X]:(~brave(X))))&
(![X]:((curious(X)<~>old(X))=>(~rich(X)|rich(X))))&
(![X]:(~bra... | old(mary) | [] | null | 0 |
If someone is either not tall or not strong then someone is calm and vice versa.
Everyone who is not kind is both not brave and not rich.
Everyone who is both generous and humble is not calm or creative.
If mary is both calm and not patient then mary is both brave and creative.
Everyone who is not creative or not curio... | Alice is humble. | contradiction | ((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:(calm(X))))&
(![X]:(~kind(X)=>(~brave(X)&~rich(X))))&
(![X]:((generous(X)&humble(X))=>(~calm(X)|creative(X))))&
(((calm(mary)&~patient(mary)))=>((brave(mary)&creative(mary))))&
(![X]:((~creative(X)|~curious(X))=>(curious(X)&~quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:((~curious(X)|~... | humble(alice) | [
"p6",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6060311045961267168535589
% SZS output start Proof for 6060311045961267168535589
7. ! [X0] : ((happy(X0) | ~creative(X0)) => (~calm(X0) & patient(X0))) [input p6]
9. ! [X0] : ((~humble(X0) <~> ~calm(X0)) => generous(X0)) [input p8]
10. ! [X0] : ((generous(X0) | ~patient(X0)) => ~happy(X0)... | 0 |
Everyone who is generous is calm.
Everyone who is not funny is either generous or not curious and vice versa.
If someone is creative or not creative then someone is both generous and not kind.
Everyone who is not strong or strong is both curious and not funny.
Everyone who is both not patient and humble is either gener... | Fred is not strong. | neutral | (![X]:(generous(X)=>calm(X)))&
(![X]:(~funny(X)<=>(generous(X)<~>~curious(X))))&
((?[X]:((creative(X)|~creative(X))))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((~strong(X)|strong(X))=>(curious(X)&~funny(X))))&
(![X]:((~patient(X)&humble(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)<~>creative(X))=>(~funny(X)&calm(... | ~strong(fred) | [] | null | 0 |
Everyone who is not kind is both not kind and curious. If someone is not creative or strong then someone is both wise and not brave and vice versa. Everyone who is kind is both funny and quiet. Everyone who is both not happy and happy is not generous or happy and vice versa. If someone is not kind or tall then alice is... | John is brave. | entailment | (![X]:(~kind(X)=>(~kind(X)&curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(kind(X)=>(funny(X)&quiet(X))))&
(![X]:((~happy(X)&happy(X))<=>(~generous(X)|happy(X))))&
((?[X]:((~kind(X)|tall(X))))=>((~funny(alice)&curious(alice))))&
((?[X]:((~patient(X)<~>funny(X))))=>((~funny(paul... | brave(john) | [
"p1",
"p3",
"p7",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8070995806801163852772713
% SZS output start Proof for 8070995806801163852772713
2. ? [X0] : (strong(X0) | ~creative(X0)) <=> ? [X0] : (~brave(X0) & wise(X0)) [input p1]
4. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (happy(X0) | ~generous(X0))) [input p3]
8. ? [X0] : (wise(X0) <~> happy(X0)) ... | 0 |
Everyone who is either brave or not wise is not wise and vice versa. Everyone who is not happy or not strong is either not kind or curious. If fred is not rich then fred is not calm and vice versa. Everyone who is either not creative or quiet is both not curious and kind. Everyone who is not happy is both funny and old... | Paul is not curious. | entailment | (![X]:((brave(X)<~>~wise(X))<=>~wise(X)))&
(![X]:((~happy(X)|~strong(X))=>(~kind(X)<~>curious(X))))&
((~rich(fred))<=>(~calm(fred)))&
(![X]:((~creative(X)<~>quiet(X))=>(~curious(X)&kind(X))))&
(![X]:(~happy(X)=>(funny(X)&old(X))))&
(![X]:(strong(X)=>(~calm(X)|~creative(X))))&
(![X]:((~curious(X)&happy(X))=>(rich(X)<~>~... | ~curious(paul) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1964985588725214679132686
% SZS output start Proof for 1964985588725214679132686
2. ! [X0] : ((~strong(X0) | ~happy(X0)) => (~kind(X0) <~> curious(X0))) [input p1]
8. ! [X0] : ((~humble(X0) <~> humble(X0)) => (~kind(X0) & quiet(X0))) [input p7]
12. ! [X0] : (curious(X0) <=> (~kind(X0) <~>... | 0 |
If susan is not generous then someone is either happy or wise.
Everyone who is rich is tall.
Everyone who is not generous or not quiet is both kind and not tall and vice versa.
If someone is both tall and rich then susan is both creative and not kind and vice versa.
Everyone who is not happy or generous is happy and vi... | Fred is not quiet. | entailment | ((~generous(susan))=>(?[X]:((happy(X)<~>wise(X)))))&
(![X]:(rich(X)=>tall(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(kind(X)&~tall(X))))&
((?[X]:((tall(X)&rich(X))))<=>((creative(susan)&~kind(susan))))&
(![X]:((~happy(X)|generous(X))<=>happy(X)))&
((?[X]:((~kind(X)<~>curious(X))))<=>(?[X]:(~generous(X))))&
((~brave(john)... | ~quiet(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6083678948806891529869932
% SZS output start Proof for 6083678948806891529869932
15. ! [X0] : ((~old(X0) & old(X0)) <=> quiet(X0)) [input p14]
20. quiet(fred) [input hypothesis]
55. ! [X0] : (((~old(X0) & old(X0)) | ~quiet(X0)) & (quiet(X0) | (old(X0) | ~old(X0)))) [nnf transformation 15]... | 0 |
If mary is rich then alice is strong and vice versa.
Everyone who is either strong or not funny is tall or not brave and vice versa.
Everyone who is either wise or humble is either rich or not creative.
Everyone who is patient or kind is not funny or old and vice versa.
Everyone who is either not happy or happy is eith... | John is not strong. | entailment | ((rich(mary))<=>(strong(alice)))&
(![X]:((strong(X)<~>~funny(X))<=>(tall(X)|~brave(X))))&
(![X]:((wise(X)<~>humble(X))=>(rich(X)<~>~creative(X))))&
(![X]:((patient(X)|kind(X))<=>(~funny(X)|old(X))))&
(![X]:((~happy(X)<~>happy(X))=>(generous(X)<~>tall(X))))&
((?[X]:((~rich(X)|~patient(X))))<=>((old(fred)|~happy(fred))))... | ~strong(john) | [
"p4",
"p9",
"p10",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 506932443189858371712002
% SZS output start Proof for 506932443189858371712002
5. ! [X0] : ((~happy(X0) <~> happy(X0)) => (generous(X0) <~> tall(X0))) [input p4]
10. ? [X0] : ~rich(X0) => generous(john) [input p9]
11. ! [X0] : (rich(X0) <=> (~strong(X0) <~> ~tall(X0))) [input p10]
17. str... | 0 |
If someone is not kind then lucy is either not humble or wise and vice versa.
If someone is funny then mary is both not tall and brave and vice versa.
If someone is both not creative and happy then lucy is either strong or not creative and vice versa.
Everyone who is either wise or not funny is happy.
If someone is eit... | Mary is not funny. | entailment | ((?[X]:(~kind(X)))<=>((~humble(lucy)<~>wise(lucy))))&
((?[X]:(funny(X)))<=>((~tall(mary)&brave(mary))))&
((?[X]:((~creative(X)&happy(X))))<=>((strong(lucy)<~>~creative(lucy))))&
(![X]:((wise(X)<~>~funny(X))=>happy(X)))&
((?[X]:((calm(X)<~>patient(X))))=>((~kind(paul)|humble(paul))))&
(![X]:(~quiet(X)<=>(~generous(X)<~>... | ~funny(mary) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6307753751351047820280579
% SZS output start Proof for 6307753751351047820280579
2. ? [X0] : funny(X0) <=> (brave(mary) & ~tall(mary)) [input p1]
11. ! [X0] : ((calm(X0) | ~calm(X0)) => (~calm(X0) & tall(X0))) [input p10]
19. funny(mary) [input hypothesis]
29. ! [X0] : ((~calm(X0) & tall(... | 0 |
Everyone who is curious is not generous and vice versa.
Everyone who is kind or not curious is both brave and generous and vice versa.
Everyone who is not creative or wise is either tall or brave and vice versa.
Everyone who is not rich or happy is either happy or calm.
If fred is both not patient and happy then fred i... | Fred is quiet. | neutral | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy... | quiet(fred) | [] | null | 0 |
If fred is not generous then someone is not patient or happy and vice versa. If someone is either calm or curious then someone is either not funny or old and vice versa. If paul is both not funny and tall then mary is both not happy and not old and vice versa. Everyone who is not calm is both not creative and not wise ... | Fred is generous. | contradiction | ((~generous(fred))<=>(?[X]:((~patient(X)|happy(X)))))&
((?[X]:((calm(X)<~>curious(X))))<=>(?[X]:((~funny(X)<~>old(X)))))&
(((~funny(paul)&tall(paul)))<=>((~happy(mary)&~old(mary))))&
(![X]:(~calm(X)<=>(~creative(X)&~wise(X))))&
((?[X]:((old(X)&~strong(X))))=>(?[X]:(funny(X))))&
((~humble(susan))=>(?[X]:(~wise(X))))&
((... | generous(fred) | [
"p0",
"p3",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5930820939148620733845679
% SZS output start Proof for 5930820939148620733845679
1. ~generous(fred) <=> ? [X0] : (happy(X0) | ~patient(X0)) [input p0]
4. ! [X0] : (~calm(X0) <=> (~wise(X0) & ~creative(X0))) [input p3]
10. ! [X0] : ((rich(X0) | ~wise(X0)) => (~patient(X0) & funny(X0))) [in... | 0 |
Everyone who is both funny and happy is not funny.
Everyone who is both not patient and generous is not curious.
Everyone who is either not wise or not humble is not quiet or happy.
Everyone who is both creative and not generous is brave or tall and vice versa.
Everyone who is either not wise or not calm is old or wise... | John is not curious. | neutral | (![X]:((funny(X)&happy(X))=>~funny(X)))&
(![X]:((~patient(X)&generous(X))=>~curious(X)))&
(![X]:((~wise(X)<~>~humble(X))=>(~quiet(X)|happy(X))))&
(![X]:((creative(X)&~generous(X))<=>(brave(X)|tall(X))))&
(![X]:((~wise(X)<~>~calm(X))<=>(old(X)|wise(X))))&
(![X]:((~patient(X)&calm(X))<=>brave(X)))&
(![X]:((tall(X)<~>~hap... | ~curious(john) | [] | null | 0 |
Everyone who is not calm is happy or not wise and vice versa.
Everyone who is happy is both generous and not curious and vice versa.
If someone is both humble and happy then john is happy or funny and vice versa.
If john is both not humble and not curious then paul is not quiet and vice versa.
Everyone who is not calm ... | Paul is humble. | neutral | (![X]:(~calm(X)<=>(happy(X)|~wise(X))))&
(![X]:(happy(X)<=>(generous(X)&~curious(X))))&
((?[X]:((humble(X)&happy(X))))<=>((happy(john)|funny(john))))&
(((~humble(john)&~curious(john)))<=>(~quiet(paul)))&
(![X]:((~calm(X)|old(X))<=>(creative(X)|kind(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~quiet(X)|creative(X))))&
((funn... | humble(paul) | [] | null | 0 |
Everyone who is brave is kind and vice versa.
If alice is both happy and not quiet then alice is not tall or not brave and vice versa.
Everyone who is not rich is not creative.
Everyone who is not quiet or kind is either not creative or kind and vice versa.
If someone is not funny or not old then susan is either calm o... | Paul is not tall. | entailment | (![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alice))))&
(![X]:(~rich(X)=>~creative(X)))&
(![X]:((~quiet(X)|kind(X))<=>(~creative(X)<~>kind(X))))&
((?[X]:((~funny(X)|~old(X))))=>((calm(susan)<~>~kind(susan))))&
(![X]:((funny(X)<~>~creative(X))=>(~rich(X)&humble(X))))&
((?[X]:(rich... | ~tall(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2803385021459967843806032
% SZS output start Proof for 2803385021459967843806032
8. ! [X0] : ((~tall(X0) & ~old(X0)) <=> (old(X0) | ~old(X0))) [input p7]
23. tall(paul) [input hypothesis]
46. ! [X0] : (((~tall(X0) & ~old(X0)) | (~old(X0) & old(X0))) & ((old(X0) | ~old(X0)) | (tall(X0) | o... | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Mary is not brave. | entailment | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | ~brave(mary) | [
"p2",
"p6",
"p7",
"p8",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8996957858595555784731059
% SZS output start Proof for 8996957858595555784731059
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
7. ? [X0] : (humble(X0) <~> brave(X0)) => (~kind(mary) | humble(mary)) [input p6]
8. ! [X0] : ((calm(X0) & ~rich(X0)) <=> ... | 0 |
If paul is not curious then susan is calm and vice versa.
If someone is either tall or wise then someone is funny.
Everyone who is either quiet or not humble is both calm and brave.
If susan is humble then someone is not wise.
If someone is not tall or curious then someone is curious or not old and vice versa.
Everyone... | Paul is wise. | neutral | ((~curious(paul))<=>(calm(susan)))&
((?[X]:((tall(X)<~>wise(X))))=>(?[X]:(funny(X))))&
(![X]:((quiet(X)<~>~humble(X))=>(calm(X)&brave(X))))&
((humble(susan))=>(?[X]:(~wise(X))))&
((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((curious(X)|~old(X)))))&
(![X]:(~humble(X)<=>kind(X)))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((calm... | wise(paul) | [] | null | 0 |
If someone is kind or not humble then fred is both not wise and creative and vice versa. Everyone who is not tall is both not funny and not wise. Everyone who is not curious or not calm is funny and vice versa. Everyone who is both not tall and not strong is either not wise or not humble. Everyone who is humble is funn... | Fred is not creative. | entailment | ((?[X]:((kind(X)|~humble(X))))<=>((~wise(fred)&creative(fred))))&
(![X]:(~tall(X)=>(~funny(X)&~wise(X))))&
(![X]:((~curious(X)|~calm(X))<=>funny(X)))&
(![X]:((~tall(X)&~strong(X))=>(~wise(X)<~>~humble(X))))&
(![X]:(humble(X)<=>funny(X)))&
(![X]:((~happy(X)<~>funny(X))=>~calm(X)))&
((?[X]:((tall(X)|~patient(X))))<=>(?[X... | ~creative(fred) | [
"p0",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7010496701567654730573262
% SZS output start Proof for 7010496701567654730573262
1. ? [X0] : (~humble(X0) | kind(X0)) <=> (creative(fred) & ~wise(fred)) [input p0]
9. ! [X0] : ((~calm(X0) | happy(X0)) => (calm(X0) | ~creative(X0))) [input p8]
10. ! [X0] : (wise(X0) <=> (~patient(X0) <~> p... | 0 |
Everyone who is both creative and not kind is both creative and not happy and vice versa.
Everyone who is both wise and not calm is not creative or calm.
Everyone who is old is funny.
Everyone who is creative or old is generous and vice versa.
Everyone who is both not rich and tall is both not curious and not wise.
If ... | Lucy is not kind. | neutral | (![X]:((creative(X)&~kind(X))<=>(creative(X)&~happy(X))))&
(![X]:((wise(X)&~calm(X))=>(~creative(X)|calm(X))))&
(![X]:(old(X)=>funny(X)))&
(![X]:((creative(X)|old(X))<=>generous(X)))&
(![X]:((~rich(X)&tall(X))=>(~curious(X)&~wise(X))))&
(((calm(mary)<~>~wise(mary)))<=>(?[X]:((tall(X)<~>old(X)))))&
((?[X]:(~humble(X)))<... | ~kind(lucy) | [] | null | 0 |
Everyone who is not happy or not creative is both not old and not tall.
If susan is not quiet then someone is brave or not humble.
If someone is both funny and not curious then mary is either patient or tall.
Everyone who is old is not patient or tall and vice versa.
Everyone who is happy is not generous and vice versa... | Susan is not quiet. | neutral | (![X]:((~happy(X)|~creative(X))=>(~old(X)&~tall(X))))&
((~quiet(susan))=>(?[X]:((brave(X)|~humble(X)))))&
((?[X]:((funny(X)&~curious(X))))=>((patient(mary)<~>tall(mary))))&
(![X]:(old(X)<=>(~patient(X)|tall(X))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((~old(X)<~>~rich(X))=>(~wise(X)<~>wise(X))))&
(![X]:(rich(X)=>(~c... | ~quiet(susan) | [] | null | 0 |
If someone is not happy then paul is both not patient and not creative and vice versa.
If mary is both calm and strong then someone is not old or calm.
If fred is either not calm or humble then alice is old or not wise.
Everyone who is humble is both not strong and wise.
If fred is not happy then alice is patient.
If j... | John is not humble. | entailment | ((?[X]:(~happy(X)))<=>((~patient(paul)&~creative(paul))))&
(((calm(mary)&strong(mary)))=>(?[X]:((~old(X)|calm(X)))))&
(((~calm(fred)<~>humble(fred)))=>((old(alice)|~wise(alice))))&
(![X]:(humble(X)=>(~strong(X)&wise(X))))&
((~happy(fred))=>(patient(alice)))&
(((strong(john)<~>~quiet(john)))<=>(old(paul)))&
(![X]:(~wise... | ~humble(john) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6819650454857046783567682
% SZS output start Proof for 6819650454857046783567682
4. ! [X0] : (humble(X0) => (wise(X0) & ~strong(X0))) [input p3]
12. ! [X0] : (~creative(X0) <=> (~tall(X0) <~> creative(X0))) [input p11]
16. ! [X0] : ((~tall(X0) | old(X0)) => (~wise(X0) <~> strong(X0))) [in... | 0 |
If mary is not strong or strong then lucy is both not brave and not tall and vice versa.
Everyone who is not patient or brave is quiet and vice versa.
Everyone who is both humble and rich is both not generous and not calm and vice versa.
Everyone who is either brave or not calm is brave.
Everyone who is either not humb... | John is not rich. | entailment | (((~strong(mary)|strong(mary)))<=>((~brave(lucy)&~tall(lucy))))&
(![X]:((~patient(X)|brave(X))<=>quiet(X)))&
(![X]:((humble(X)&rich(X))<=>(~generous(X)&~calm(X))))&
(![X]:((brave(X)<~>~calm(X))=>brave(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(wise(X)&humble(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(kind(X)|calm(X))))&
(![X]... | ~rich(john) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 962250344632709665147019
% SZS output start Proof for 962250344632709665147019
2. ! [X0] : ((brave(X0) | ~patient(X0)) <=> quiet(X0)) [input p1]
3. ! [X0] : ((rich(X0) & humble(X0)) <=> (~calm(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((brave(X0) <~> ~calm(X0)) => brave(X0)) [input p3]... | 0 |
If alice is either not quiet or not generous then fred is both not wise and not curious and vice versa. If alice is not rich then someone is either not humble or not curious and vice versa. Everyone who is both strong and not wise is either funny or happy and vice versa. If someone is both wise and happy then susan is ... | Lucy is not brave. | contradiction | (((~quiet(alice)<~>~generous(alice)))<=>((~wise(fred)&~curious(fred))))&
((~rich(alice))<=>(?[X]:((~humble(X)<~>~curious(X)))))&
(![X]:((strong(X)&~wise(X))<=>(funny(X)<~>happy(X))))&
((?[X]:((wise(X)&happy(X))))<=>(~generous(susan)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~happy(X))))&
(![X]:((humble(X)&rich(X))=>(tall(X)... | ~brave(lucy) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 735540137500380528885657
% SZS output start Proof for 735540137500380528885657
7. ! [X0] : ((curious(X0) | generous(X0)) => brave(X0)) [input p6]
9. ! [X0] : ((generous(X0) & quiet(X0)) <=> (~generous(X0) | ~old(X0))) [input p8]
24. ~brave(lucy) [input hypothesis]
30. ! [X0] : (brave(X0) ... | 0 |
Everyone who is both curious and not calm is not old. Everyone who is both old and rich is both not curious and rich and vice versa. If john is both not patient and strong then someone is not tall. If someone is not quiet then someone is not calm or not old and vice versa. Everyone who is not generous or not calm is ei... | John is not tall. | neutral | (![X]:((curious(X)&~calm(X))=>~old(X)))&
(![X]:((old(X)&rich(X))<=>(~curious(X)&rich(X))))&
(((~patient(john)&strong(john)))=>(?[X]:(~tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~generous(X)|~calm(X))=>(~humble(X)<~>patient(X))))&
(((happy(mary)|~calm(mary)))=>((~kind(lucy)|~happy(lucy))))&
... | ~tall(john) | [] | null | 0 |
Everyone who is not kind is generous and vice versa.
If someone is rich then someone is not funny.
Everyone who is both not calm and not generous is not brave or quiet.
If alice is either not wise or strong then paul is both brave and creative.
Everyone who is both calm and patient is both not generous and not patient.... | John is kind. | entailment | (![X]:(~kind(X)<=>generous(X)))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)&~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&~patient(X))))&
(![X]:((kind(X)|~strong(X))=>(quiet(X)&~happy(X))))&
(((~old(mar... | kind(john) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 557403224064371192776340
% SZS output start Proof for 557403224064371192776340
1. ! [X0] : (~kind(X0) <=> generous(X0)) [input p0]
5. ! [X0] : ((patient(X0) & calm(X0)) => (~patient(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~strong(X0) | kind(X0)) => (~happy(X0) & quiet(X0))) [input ... | 0 |
If paul is either old or not kind then someone is both not brave and not strong and vice versa.
Everyone who is kind or not kind is not curious or not humble.
If mary is either quiet or wise then someone is both not brave and tall and vice versa.
Everyone who is either quiet or tall is either old or not humble.
Everyon... | John is not calm. | entailment | (((old(paul)<~>~kind(paul)))<=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((kind(X)|~kind(X))=>(~curious(X)|~humble(X))))&
(((quiet(mary)<~>wise(mary)))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((quiet(X)<~>tall(X))=>(old(X)<~>~humble(X))))&
(![X]:((~strong(X)&kind(X))<=>(funny(X)&~curious(X))))&
(![X]:((patient(X)&~funny(X... | ~calm(john) | [
"p1",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4173966476126103796728597
% SZS output start Proof for 4173966476126103796728597
2. ! [X0] : ((~kind(X0) | kind(X0)) => (~humble(X0) | ~curious(X0))) [input p1]
9. (quiet(fred) | ~patient(fred)) <=> ~calm(john) [input p8]
11. ! [X0] : ((wise(X0) | ~humble(X0)) => (humble(X0) <~> ~strong(X... | 0 |
If someone is not rich then someone is not calm.
Everyone who is not curious or humble is either quiet or not rich and vice versa.
If someone is brave or not humble then paul is not generous or not kind and vice versa.
If someone is not curious then mary is both brave and not curious and vice versa.
If fred is either p... | Fred is funny. | entailment | ((?[X]:(~rich(X)))=>(?[X]:(~calm(X))))&
(![X]:((~curious(X)|humble(X))<=>(quiet(X)<~>~rich(X))))&
((?[X]:((brave(X)|~humble(X))))<=>((~generous(paul)|~kind(paul))))&
((?[X]:(~curious(X)))<=>((brave(mary)&~curious(mary))))&
(((patient(fred)<~>~happy(fred)))=>((~funny(susan)<~>~creative(susan))))&
(![X]:(strong(X)<=>(old... | funny(fred) | [
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8414052082974865018316558
% SZS output start Proof for 8414052082974865018316558
6. ! [X0] : (strong(X0) <=> (~strong(X0) & old(X0))) [input p5]
8. ! [X0] : ((old(X0) | ~tall(X0)) <=> (~funny(X0) | ~generous(X0))) [input p7]
14. ! [X0] : ((old(X0) <~> ~old(X0)) <=> tall(X0)) [input p13]
2... | 0 |
Everyone who is not happy is either not quiet or not patient and vice versa.
If susan is both not kind and not happy then someone is both humble and not calm and vice versa.
If someone is brave then someone is not wise or tall.
Everyone who is either wise or rich is not generous or not funny.
Everyone who is either qui... | Lucy is not tall. | entailment | (![X]:(~happy(X)<=>(~quiet(X)<~>~patient(X))))&
(((~kind(susan)&~happy(susan)))<=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~wise(X)|tall(X)))))&
(![X]:((wise(X)<~>rich(X))=>(~generous(X)|~funny(X))))&
(![X]:((quiet(X)<~>old(X))<=>(patient(X)|~old(X))))&
(![X]:(humble(X)<=>~calm(X)))&
(((curious(lucy)... | ~tall(lucy) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2399151379183340534197800
% SZS output start Proof for 2399151379183340534197800
10. ! [X0] : ((~creative(X0) | wise(X0)) <=> (curious(X0) & ~rich(X0))) [input p9]
15. ! [X0] : ((~curious(X0) & creative(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p14]
25. tall(lucy) [input hypothesis]
53... | 0 |
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