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 not happy is both not kind and humble and vice versa. If alice is either not funny or curious then someone is either not quiet or quiet and vice versa. Everyone who is either strong or not wise is either not quiet or patient. Everyone who is either not curious or not happy is not rich. If someone is bot... | Fred is not kind. | entailment | (![X]:(~happy(X)<=>(~kind(X)&humble(X))))&
(((~funny(alice)<~>curious(alice)))<=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((strong(X)<~>~wise(X))=>(~quiet(X)<~>patient(X))))&
(![X]:((~curious(X)<~>~happy(X))=>~rich(X)))&
((?[X]:((happy(X)&~tall(X))))=>((funny(susan)&~strong(susan))))&
(((~happy(susan)&~calm(susan)))=>((... | ~kind(fred) | [
"p0",
"p3",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5749928536926158429237679
% SZS output start Proof for 5749928536926158429237679
1. ! [X0] : (~happy(X0) <=> (humble(X0) & ~kind(X0))) [input p0]
4. ! [X0] : ((~curious(X0) <~> ~happy(X0)) => ~rich(X0)) [input p3]
8. ! [X0] : ((~happy(X0) | ~brave(X0)) <=> (~calm(X0) | calm(X0))) [input p... | 0 |
If someone is both brave and not rich then mary is both kind and not quiet.
If lucy is either humble or not funny then mary is both wise and not old and vice versa.
Everyone who is either curious or not kind is both not old and patient and vice versa.
Everyone who is wise or not curious is calm or not tall and vice ver... | Alice is not calm. | neutral | ((?[X]:((brave(X)&~rich(X))))=>((kind(mary)&~quiet(mary))))&
(((humble(lucy)<~>~funny(lucy)))<=>((wise(mary)&~old(mary))))&
(![X]:((curious(X)<~>~kind(X))<=>(~old(X)&patient(X))))&
(![X]:((wise(X)|~curious(X))<=>(calm(X)|~tall(X))))&
((?[X]:((happy(X)<~>wise(X))))<=>(?[X]:((humble(X)|funny(X)))))&
(![X]:(~brave(X)=>old... | ~calm(alice) | [] | null | 0 |
If paul is not funny or patient then paul is not old or curious. Everyone who is generous or rich is both humble and not brave and vice versa. If fred is both not happy and not old then fred is either generous or not curious and vice versa. Everyone who is not rich or not generous is either brave or not kind and vice v... | Fred is not tall. | entailment | (((~funny(paul)|patient(paul)))=>((~old(paul)|curious(paul))))&
(![X]:((generous(X)|rich(X))<=>(humble(X)&~brave(X))))&
(((~happy(fred)&~old(fred)))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((~rich(X)|~generous(X))<=>(brave(X)<~>~kind(X))))&
((~humble(alice))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((~patient(mary))... | ~tall(fred) | [
"p1",
"p3",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2592711648581165393423964
% SZS output start Proof for 2592711648581165393423964
2. ! [X0] : ((rich(X0) | generous(X0)) <=> (~brave(X0) & humble(X0))) [input p1]
4. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> (brave(X0) <~> ~kind(X0))) [input p3]
12. ! [X0] : ((brave(X0) <~> ~tall(X0)) => ~... | 0 |
Everyone who is both not rich and calm is both funny and not brave.
If fred is either not curious or not patient then someone is either not funny or old.
Everyone who is not patient is either not old or curious.
Everyone who is not kind or not strong is either not tall or curious and vice versa.
Everyone who is generou... | Alice is not generous. | neutral | (![X]:((~rich(X)&calm(X))=>(funny(X)&~brave(X))))&
(((~curious(fred)<~>~patient(fred)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:(~patient(X)=>(~old(X)<~>curious(X))))&
(![X]:((~kind(X)|~strong(X))<=>(~tall(X)<~>curious(X))))&
(![X]:(generous(X)=>(~calm(X)&happy(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(~quiet(paul)))&
(... | ~generous(alice) | [] | null | 0 |
If someone is not happy or not wise then someone is not rich or not old.
If someone is rich or brave then paul is both not humble and not brave and vice versa.
Everyone who is not wise or not quiet is old or quiet.
Everyone who is either not old or not tall is not patient or not curious.
If someone is happy then paul i... | Mary is not funny. | contradiction | ((?[X]:((~happy(X)|~wise(X))))=>(?[X]:((~rich(X)|~old(X)))))&
((?[X]:((rich(X)|brave(X))))<=>((~humble(paul)&~brave(paul))))&
(![X]:((~wise(X)|~quiet(X))=>(old(X)|quiet(X))))&
(![X]:((~old(X)<~>~tall(X))=>(~patient(X)|~curious(X))))&
((?[X]:(happy(X)))=>((tall(paul)|~funny(paul))))&
(![X]:((~curious(X)&patient(X))<=>(~... | ~funny(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2894379936447876262681646
% SZS output start Proof for 2894379936447876262681646
13. ! [X0] : (~wise(X0) <=> (~wise(X0) <~> ~funny(X0))) [input p12]
25. ~funny(mary) [input hypothesis]
64. ! [X0] : ((~wise(X0) | ((~wise(X0) | funny(X0)) & (~funny(X0) | wise(X0)))) & (((funny(X0) | wise(X0... | 0 |
Everyone who is either humble or old is patient or not old and vice versa.
If mary is not brave then alice is not generous.
Everyone who is not brave or not patient is old or not humble.
Everyone who is funny or quiet is tall.
If someone is tall or rich then someone is both strong and not brave.
If paul is either brave... | Paul is not funny. | neutral | (![X]:((humble(X)<~>old(X))<=>(patient(X)|~old(X))))&
((~brave(mary))=>(~generous(alice)))&
(![X]:((~brave(X)|~patient(X))=>(old(X)|~humble(X))))&
(![X]:((funny(X)|quiet(X))=>tall(X)))&
((?[X]:((tall(X)|rich(X))))=>(?[X]:((strong(X)&~brave(X)))))&
(((brave(paul)<~>~kind(paul)))=>((creative(fred)&~kind(fred))))&
((?[X]:... | ~funny(paul) | [] | null | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | John is not happy. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~happy(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4062164631419165655396834
% SZS output start Proof for 4062164631419165655396834
8. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~humble(X0) | humble(X0))) [input p7]
23. happy(john) [input hypothesis]
53. ! [X0] : (((~happy(X0) & ~kind(X0)) | (humble(X0) & ~humble(X0))) & ((~humble(X0) | humb... | 0 |
If alice is generous then someone is not calm. If someone is not tall or not wise then fred is not kind. Everyone who is either not strong or not rich is both not creative and old. If someone is brave then someone is wise or curious. Everyone who is both patient and not patient is both brave and not funny and vice vers... | Paul is not humble. | neutral | ((generous(alice))=>(?[X]:(~calm(X))))&
((?[X]:((~tall(X)|~wise(X))))=>(~kind(fred)))&
(![X]:((~strong(X)<~>~rich(X))=>(~creative(X)&old(X))))&
((?[X]:(brave(X)))=>(?[X]:((wise(X)|curious(X)))))&
(![X]:((patient(X)&~patient(X))<=>(brave(X)&~funny(X))))&
(![X]:((~happy(X)&rich(X))<=>(rich(X)<~>~funny(X))))&
((?[X]:(~cre... | ~humble(paul) | [] | null | 0 |
If susan is not kind then someone is either not humble or not rich.
If someone is quiet then someone is both patient and generous and vice versa.
Everyone who is either curious or not old is both quiet and funny.
If john is not tall then susan is either not happy or old and vice versa.
Everyone who is either not humble... | John is calm. | contradiction | ((~kind(susan))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:(quiet(X)))<=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((curious(X)<~>~old(X))=>(quiet(X)&funny(X))))&
((~tall(john))<=>((~happy(susan)<~>old(susan))))&
(![X]:((~humble(X)<~>~wise(X))=>(strong(X)|~generous(X))))&
(![X]:(brave(X)<=>(~calm(X)|~happy(X))))&
(![X]... | calm(john) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 249093343809529007633615
% SZS output start Proof for 249093343809529007633615
8. ! [X0] : (creative(X0) => (patient(X0) | ~creative(X0))) [input p7]
9. ! [X0] : (calm(X0) <=> (~patient(X0) & creative(X0))) [input p8]
24. calm(john) [input hypothesis]
30. ! [X0] : ((patient(X0) | ~creativ... | 0 |
If someone is both not patient and not brave then paul is both not patient and creative.
Everyone who is tall is either happy or not calm and vice versa.
Everyone who is tall or not funny is either kind or not funny and vice versa.
Everyone who is not generous is not tall and vice versa.
Everyone who is either tall or ... | Paul is not quiet. | contradiction | ((?[X]:((~patient(X)&~brave(X))))=>((~patient(paul)&creative(paul))))&
(![X]:(tall(X)<=>(happy(X)<~>~calm(X))))&
(![X]:((tall(X)|~funny(X))<=>(kind(X)<~>~funny(X))))&
(![X]:(~generous(X)<=>~tall(X)))&
(![X]:((tall(X)<~>~quiet(X))<=>(creative(X)&calm(X))))&
(((~strong(susan)|brave(susan)))=>(tall(mary)))&
(![X]:((~tall(... | ~quiet(paul) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7629531377433598439463055
% SZS output start Proof for 7629531377433598439463055
4. ! [X0] : (~generous(X0) <=> ~tall(X0)) [input p3]
5. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (calm(X0) & creative(X0))) [input p4]
7. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~quiet(X0) | kind(X0))) [input p6... | 0 |
Everyone who is curious is strong and vice versa.
Everyone who is not strong is not brave or old and vice versa.
Everyone who is both happy and patient is either not kind or brave.
If someone is not tall then someone is humble and vice versa.
If mary is generous or not patient then someone is humble or rich.
Everyone w... | Mary is curious. | neutral | (![X]:(curious(X)<=>strong(X)))&
(![X]:(~strong(X)<=>(~brave(X)|old(X))))&
(![X]:((happy(X)&patient(X))=>(~kind(X)<~>brave(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(humble(X))))&
(((generous(mary)|~patient(mary)))=>(?[X]:((humble(X)|rich(X)))))&
(![X]:((brave(X)&tall(X))=>(~calm(X)|curious(X))))&
(![X]:((~rich(X)<~>brave(X))<... | curious(mary) | [] | null | 0 |
If john is not calm or funny then someone is either kind or not funny and vice versa.
If lucy is both humble and not rich then someone is humble or not humble and vice versa.
Everyone who is both not brave and not wise is not patient and vice versa.
If someone is both not strong and not brave then someone is quiet.
Eve... | Mary is not wise. | entailment | (((~calm(john)|funny(john)))<=>(?[X]:((kind(X)<~>~funny(X)))))&
(((humble(lucy)&~rich(lucy)))<=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((~brave(X)&~wise(X))<=>~patient(X)))&
((?[X]:((~strong(X)&~brave(X))))=>(?[X]:(quiet(X))))&
(![X]:((~tall(X)&~patient(X))<=>(~generous(X)|~patient(X))))&
(((tall(john)<~>~wise(john)))... | ~wise(mary) | [
"p2",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 442649689406924527572942
% SZS output start Proof for 442649689406924527572942
3. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> ~patient(X0)) [input p2]
10. ! [X0] : ((wise(X0) | old(X0)) <=> (quiet(X0) <~> ~wise(X0))) [input p9]
11. ! [X0] : (~funny(X0) => (patient(X0) <~> quiet(X0))) [input p1... | 0 |
Everyone who is both creative and not brave is both tall and not curious and vice versa. Everyone who is not creative or strong is either not quiet or not patient. If susan is both kind and not curious then someone is both not kind and funny and vice versa. Everyone who is either brave or old is curious or calm and vic... | John is not wise. | contradiction | (![X]:((creative(X)&~brave(X))<=>(tall(X)&~curious(X))))&
(![X]:((~creative(X)|strong(X))=>(~quiet(X)<~>~patient(X))))&
(((kind(susan)&~curious(susan)))<=>(?[X]:((~kind(X)&funny(X)))))&
(![X]:((brave(X)<~>old(X))<=>(curious(X)|calm(X))))&
(![X]:((~tall(X)<~>generous(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((~rich(X)&~kind... | ~wise(john) | [
"p0",
"p2",
"p3",
"p6",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 781323046894538145086579
% SZS output start Proof for 781323046894538145086579
1. ! [X0] : ((~brave(X0) & creative(X0)) <=> (~curious(X0) & tall(X0))) [input p0]
3. (~curious(susan) & kind(susan)) <=> ? [X0] : (funny(X0) & ~kind(X0)) [input p2]
4. ! [X0] : ((brave(X0) <~> old(X0)) <=> (ca... | 0 |
If someone is either not rich or brave then susan is both not creative and not curious and vice versa.
Everyone who is both not kind and calm is both calm and wise.
Everyone who is wise is either not generous or not wise.
If someone is both strong and old then someone is not tall and vice versa.
If someone is both not ... | Susan is creative. | contradiction | ((?[X]:((~rich(X)<~>brave(X))))<=>((~creative(susan)&~curious(susan))))&
(![X]:((~kind(X)&calm(X))=>(calm(X)&wise(X))))&
(![X]:(wise(X)=>(~generous(X)<~>~wise(X))))&
((?[X]:((strong(X)&old(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((~patient(X)&quiet(X))))<=>(?[X]:((~happy(X)&calm(X)))))&
((?[X]:((~calm(X)&~wise(X))))<=>((tal... | creative(susan) | [
"p0",
"p7",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 44662594768112581490199
% SZS output start Proof for 44662594768112581490199
1. ? [X0] : (~rich(X0) <~> brave(X0)) <=> (~curious(susan) & ~creative(susan)) [input p0]
8. ! [X0] : (~rich(X0) <=> (patient(X0) | ~curious(X0))) [input p7]
15. ! [X0] : ((~patient(X0) <~> brave(X0)) => (happy(X... | 0 |
Everyone who is either not old or not humble is both not tall and wise and vice versa.
Everyone who is calm is not curious or not strong and vice versa.
If someone is either humble or not humble then someone is strong or not wise and vice versa.
Everyone who is curious or calm is either patient or not happy.
If someone... | Lucy is wise. | entailment | (![X]:((~old(X)<~>~humble(X))<=>(~tall(X)&wise(X))))&
(![X]:(calm(X)<=>(~curious(X)|~strong(X))))&
((?[X]:((humble(X)<~>~humble(X))))<=>(?[X]:((strong(X)|~wise(X)))))&
(![X]:((curious(X)|calm(X))=>(patient(X)<~>~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((kind(X)|old(X)))))&
((~wise(alice))<=>(?[X]:((~humble(X)&funny(X)... | wise(lucy) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6432625157713961738616371
% SZS output start Proof for 6432625157713961738616371
2. ! [X0] : (calm(X0) <=> (~strong(X0) | ~curious(X0))) [input p1]
4. ! [X0] : ((calm(X0) | curious(X0)) => (patient(X0) <~> ~happy(X0))) [input p3]
7. ! [X0] : ((funny(X0) & ~humble(X0)) <=> ~patient(X0)) [i... | 0 |
Everyone who is either not humble or not patient is not creative or not tall.
Everyone who is funny or not strong is both patient and brave.
If mary is not old then someone is kind or quiet and vice versa.
If paul is either creative or not rich then someone is old or not rich and vice versa.
If someone is not old then ... | Paul is tall. | neutral | (![X]:((~humble(X)<~>~patient(X))=>(~creative(X)|~tall(X))))&
(![X]:((funny(X)|~strong(X))=>(patient(X)&brave(X))))&
((~old(mary))<=>(?[X]:((kind(X)|quiet(X)))))&
(((creative(paul)<~>~rich(paul)))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~old(X)))<=>(funny(paul)))&
(![X]:((funny(X)|tall(X))=>(~funny(X)|~quiet(X))))&
((?[... | tall(paul) | [] | null | 0 |
If alice is curious or not curious then someone is both not wise and not happy. If someone is not generous then fred is happy and vice versa. Everyone who is not old or patient is funny. If someone is not old or not brave then someone is creative or generous. Everyone who is calm is wise or not funny and vice versa. If... | Lucy is kind. | entailment | (((curious(alice)|~curious(alice)))=>(?[X]:((~wise(X)&~happy(X)))))&
((?[X]:(~generous(X)))<=>(happy(fred)))&
(![X]:((~old(X)|patient(X))=>funny(X)))&
((?[X]:((~old(X)|~brave(X))))=>(?[X]:((creative(X)|generous(X)))))&
(![X]:(calm(X)<=>(wise(X)|~funny(X))))&
(((~strong(fred)<~>strong(fred)))<=>(?[X]:((calm(X)|~brave(X)... | kind(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3100551753566633431758999
% SZS output start Proof for 3100551753566633431758999
7. ! [X0] : ((~kind(X0) | humble(X0)) <=> (kind(X0) & old(X0))) [input p6]
25. ~kind(lucy) [input hypothesis]
58. ! [X0] : (((~kind(X0) | humble(X0)) | (~kind(X0) | ~old(X0))) & ((kind(X0) & old(X0)) | (kind(... | 0 |
If lucy is not tall or not kind then someone is either happy or creative.
Everyone who is tall or rich is either tall or curious and vice versa.
If someone is not kind or rich then mary is calm or wise.
Everyone who is old or wise is strong.
If mary is not happy or not quiet then alice is either curious or funny and vi... | John is calm. | contradiction | (((~tall(lucy)|~kind(lucy)))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:((tall(X)|rich(X))<=>(tall(X)<~>curious(X))))&
((?[X]:((~kind(X)|rich(X))))=>((calm(mary)|wise(mary))))&
(![X]:((old(X)|wise(X))=>strong(X)))&
(((~happy(mary)|~quiet(mary)))<=>((curious(alice)<~>funny(alice))))&
(![X]:((~quiet(X)&old(X))=>(~patient... | calm(john) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7905384721406697168313028
% SZS output start Proof for 7905384721406697168313028
2. ! [X0] : ((rich(X0) | tall(X0)) <=> (tall(X0) <~> curious(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) <~> old(X0)) => (kind(X0) & funny(X0))) [input p6]
8. ! [X0] : ((brave(X0) | old(X0)) <=> quiet(X0)) [inp... | 0 |
Everyone who is both not kind and kind is both not calm and strong and vice versa. If someone is curious or happy then someone is either not strong or tall. Everyone who is patient or not brave is both generous and old and vice versa. Everyone who is rich or quiet is patient and vice versa. Everyone who is either wise ... | Alice is funny. | entailment | (![X]:((~kind(X)&kind(X))<=>(~calm(X)&strong(X))))&
((?[X]:((curious(X)|happy(X))))=>(?[X]:((~strong(X)<~>tall(X)))))&
(![X]:((patient(X)|~brave(X))<=>(generous(X)&old(X))))&
(![X]:((rich(X)|quiet(X))<=>patient(X)))&
(![X]:((wise(X)<~>kind(X))=>(funny(X)|brave(X))))&
(![X]:((tall(X)&~happy(X))=>old(X)))&
(((kind(mary)<... | funny(alice) | [
"p2",
"p3",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2789865095989573697224554
% SZS output start Proof for 2789865095989573697224554
3. ! [X0] : ((~brave(X0) | patient(X0)) <=> (old(X0) & generous(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | rich(X0)) <=> patient(X0)) [input p3]
8. ! [X0] : ((~quiet(X0) | calm(X0)) => (funny(X0) & calm(X0)))... | 0 |
If someone is either kind or brave then someone is old or not brave. If someone is either strong or not quiet then alice is either strong or not rich and vice versa. Everyone who is not funny or not rich is both not rich and happy. Everyone who is patient is not generous or calm. Everyone who is wise or tall is both no... | Mary is wise. | contradiction | ((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((strong(alice)<~>~rich(alice))))&
(![X]:((~funny(X)|~rich(X))=>(~rich(X)&happy(X))))&
(![X]:(patient(X)=>(~generous(X)|calm(X))))&
(![X]:((wise(X)|tall(X))=>(~wise(X)&~calm(X))))&
(![X]:((old(X)<~>brave(X))=>(wise(X)&~wis... | wise(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 673193639646927313857275
% SZS output start Proof for 673193639646927313857275
5. ! [X0] : ((tall(X0) | wise(X0)) => (~calm(X0) & ~wise(X0))) [input p4]
24. wise(mary) [input hypothesis]
29. ! [X0] : (wise(X0) => (~calm(X0) & ~wise(X0))) [pure predicate removal 5]
34. ! [X0] : ((~calm(X0)... | 0 |
If fred is either not brave or quiet then alice is not rich and vice versa.
Everyone who is both calm and not wise is either tall or not happy.
Everyone who is not kind is quiet.
Everyone who is not humble or not creative is both creative and humble.
If mary is both not strong and not tall then someone is patient and v... | Mary is not quiet. | entailment | (((~brave(fred)<~>quiet(fred)))<=>(~rich(alice)))&
(![X]:((calm(X)&~wise(X))=>(tall(X)<~>~happy(X))))&
(![X]:(~kind(X)=>quiet(X)))&
(![X]:((~humble(X)|~creative(X))=>(creative(X)&humble(X))))&
(((~strong(mary)&~tall(mary)))<=>(?[X]:(patient(X))))&
(((creative(lucy)|~calm(lucy)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]... | ~quiet(mary) | [
"p3",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7670907938944387463467904
% SZS output start Proof for 7670907938944387463467904
4. ! [X0] : ((~creative(X0) | ~humble(X0)) => (humble(X0) & creative(X0))) [input p3]
9. ! [X0] : ((calm(X0) | humble(X0)) <=> (~happy(X0) & ~patient(X0))) [input p8]
10. ! [X0] : (patient(X0) <=> (quiet(X0) ... | 0 |
If someone is either not humble or not kind then someone is curious or funny and vice versa.
Everyone who is either not quiet or not creative is both not strong and not kind and vice versa.
Everyone who is calm is not old or not calm and vice versa.
Everyone who is not generous is both not calm and curious and vice ver... | Mary is not creative. | neutral | ((?[X]:((~humble(X)<~>~kind(X))))<=>(?[X]:((curious(X)|funny(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(~strong(X)&~kind(X))))&
(![X]:(calm(X)<=>(~old(X)|~calm(X))))&
(![X]:(~generous(X)<=>(~calm(X)&curious(X))))&
((?[X]:(~humble(X)))<=>(old(alice)))&
(![X]:((~generous(X)<~>~strong(X))<=>(funny(X)|rich(X))))&
(![X]:(... | ~creative(mary) | [] | null | 0 |
Everyone who is happy or not calm is not rich or tall and vice versa.
If someone is both tall and creative then someone is either patient or not patient.
Everyone who is both brave and not funny is creative and vice versa.
If someone is either not patient or not calm then susan is either not humble or rich and vice ver... | Susan is not generous. | contradiction | (![X]:((happy(X)|~calm(X))<=>(~rich(X)|tall(X))))&
((?[X]:((tall(X)&creative(X))))=>(?[X]:((patient(X)<~>~patient(X)))))&
(![X]:((brave(X)&~funny(X))<=>creative(X)))&
((?[X]:((~patient(X)<~>~calm(X))))<=>((~humble(susan)<~>rich(susan))))&
(![X]:((~humble(X)<~>~old(X))<=>(old(X)&~brave(X))))&
(![X]:((~happy(X)&~old(X))=... | ~generous(susan) | [
"p4",
"p6",
"p8",
"p9",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4723949033480303263951854
% SZS output start Proof for 4723949033480303263951854
5. ! [X0] : ((~humble(X0) <~> ~old(X0)) <=> (~brave(X0) & old(X0))) [input p4]
7. ! [X0] : ((wise(X0) <~> kind(X0)) <=> (~humble(X0) & ~tall(X0))) [input p6]
9. ~brave(susan) <=> ? [X0] : ~humble(X0) [input p... | 0 |
Everyone who is either old or tall is both creative and brave and vice versa.
Everyone who is either kind or old is humble and vice versa.
Everyone who is either not creative or kind is not happy or not humble and vice versa.
Everyone who is not kind or creative is not humble or kind and vice versa.
Everyone who is eit... | Lucy is not old. | entailment | (![X]:((old(X)<~>tall(X))<=>(creative(X)&brave(X))))&
(![X]:((kind(X)<~>old(X))<=>humble(X)))&
(![X]:((~creative(X)<~>kind(X))<=>(~happy(X)|~humble(X))))&
(![X]:((~kind(X)|creative(X))<=>(~humble(X)|kind(X))))&
(![X]:((~happy(X)<~>tall(X))=>~happy(X)))&
((?[X]:((calm(X)|~kind(X))))=>(?[X]:((creative(X)<~>~strong(X)))))... | ~old(lucy) | [
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5979347409435209759579537
% SZS output start Proof for 5979347409435209759579537
4. ! [X0] : ((creative(X0) | ~kind(X0)) <=> (kind(X0) | ~humble(X0))) [input p3]
12. ! [X0] : ((~calm(X0) | old(X0)) => (humble(X0) & ~calm(X0))) [input p11]
13. ! [X0] : ((~curious(X0) & old(X0)) <=> (~rich(... | 0 |
Everyone who is both not humble and happy is not calm or not happy. If someone is both generous and not humble then alice is both not old and generous. If fred is either not creative or not rich then someone is curious and vice versa. Everyone who is either not patient or not funny is not happy or not wise and vice ver... | Alice is not strong. | contradiction | (![X]:((~humble(X)&happy(X))=>(~calm(X)|~happy(X))))&
((?[X]:((generous(X)&~humble(X))))=>((~old(alice)&generous(alice))))&
(((~creative(fred)<~>~rich(fred)))<=>(?[X]:(curious(X))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~happy(X)|~wise(X))))&
(![X]:((creative(X)|tall(X))<=>(strong(X)&~patient(X))))&
(![X]:((happy(X)<~>~... | ~strong(alice) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4932594004917699206206377
% SZS output start Proof for 4932594004917699206206377
5. ! [X0] : ((tall(X0) | creative(X0)) <=> (~patient(X0) & strong(X0))) [input p4]
16. ! [X0] : (tall(X0) <=> ~creative(X0)) [input p15]
24. ~strong(alice) [input hypothesis]
39. ! [X0] : (((tall(X0) | creati... | 0 |
If someone is patient or old then john is not funny or happy and vice versa.
Everyone who is both old and not kind is either rich or curious.
Everyone who is tall is not patient or not rich.
If someone is generous then someone is patient.
If someone is tall or not patient then lucy is tall or old.
Everyone who is eithe... | Lucy is old. | neutral | ((?[X]:((patient(X)|old(X))))<=>((~funny(john)|happy(john))))&
(![X]:((old(X)&~kind(X))=>(rich(X)<~>curious(X))))&
(![X]:(tall(X)=>(~patient(X)|~rich(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((kind(X)<~>wise(X))<=>(~strong(X)|tall(X))))&
(![X]... | old(lucy) | [] | null | 0 |
If someone is not funny then someone is happy and vice versa.
If mary is not calm or happy then fred is either patient or happy.
Everyone who is tall is either kind or creative and vice versa.
Everyone who is old is both not kind and curious.
Everyone who is not tall or quiet is either humble or rich and vice versa.
Ev... | Alice is happy. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:(happy(X))))&
(((~calm(mary)|happy(mary)))=>((patient(fred)<~>happy(fred))))&
(![X]:(tall(X)<=>(kind(X)<~>creative(X))))&
(![X]:(old(X)=>(~kind(X)&curious(X))))&
(![X]:((~tall(X)|quiet(X))<=>(humble(X)<~>rich(X))))&
(![X]:(~tall(X)<=>(~calm(X)<~>~curious(X))))&
(((~generous(lucy)&patient(luc... | happy(alice) | [
"p3",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8553601298138483525260216
% SZS output start Proof for 8553601298138483525260216
4. ! [X0] : (old(X0) => (curious(X0) & ~kind(X0))) [input p3]
9. ? [X0] : kind(X0) <=> ? [X0] : (happy(X0) <~> ~quiet(X0)) [input p8]
12. ? [X0] : ~old(X0) <=> (humble(alice) & ~humble(alice)) [input p11]
13.... | 0 |
Everyone who is old or not humble is funny and vice versa.
Everyone who is either not generous or patient is either not quiet or not tall.
Everyone who is both creative and old is not patient.
If someone is either not calm or humble then susan is old and vice versa.
Everyone who is either creative or brave is either no... | John is not humble. | contradiction | (![X]:((old(X)|~humble(X))<=>funny(X)))&
(![X]:((~generous(X)<~>patient(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((creative(X)&old(X))=>~patient(X)))&
((?[X]:((~calm(X)<~>humble(X))))<=>(old(susan)))&
(![X]:((creative(X)<~>brave(X))<=>(~humble(X)<~>~kind(X))))&
(![X]:((calm(X)&~humble(X))=>(~curious(X)&patient(X))))&
(![X]... | ~humble(john) | [
"p0",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 217060494111428400618396
% SZS output start Proof for 217060494111428400618396
1. ! [X0] : ((~humble(X0) | old(X0)) <=> funny(X0)) [input p0]
9. ! [X0] : ((creative(X0) | ~curious(X0)) => humble(X0)) [input p8]
15. ! [X0] : ((~humble(X0) & curious(X0)) => ~funny(X0)) [input p14]
24. ~humb... | 0 |
Everyone who is both not humble and old is wise or funny.
Everyone who is happy or not funny is either not kind or not rich and vice versa.
If someone is not strong or strong then fred is both creative and not generous and vice versa.
If alice is patient or not calm then someone is either not creative or old and vice v... | Fred is happy. | contradiction | (![X]:((~humble(X)&old(X))=>(wise(X)|funny(X))))&
(![X]:((happy(X)|~funny(X))<=>(~kind(X)<~>~rich(X))))&
((?[X]:((~strong(X)|strong(X))))<=>((creative(fred)&~generous(fred))))&
(((patient(alice)|~calm(alice)))<=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:(~old(X)=>(~strong(X)&funny(X))))&
(![X]:((~tall(X)&~generous(X))=>... | happy(fred) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2128637147067503170793361
% SZS output start Proof for 2128637147067503170793361
3. ? [X0] : (strong(X0) | ~strong(X0)) <=> (~generous(fred) & creative(fred)) [input p2]
5. ! [X0] : (~old(X0) => (funny(X0) & ~strong(X0))) [input p4]
8. ! [X0] : (creative(X0) <=> (~tall(X0) & ~rich(X0))) [... | 0 |
Everyone who is not strong is both not funny and creative.
If lucy is both patient and strong then someone is either creative or not strong and vice versa.
Everyone who is both happy and not funny is not strong or old and vice versa.
Everyone who is not generous or brave is either not old or quiet.
Everyone who is curi... | Paul is curious. | contradiction | (![X]:(~strong(X)=>(~funny(X)&creative(X))))&
(((patient(lucy)&strong(lucy)))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((happy(X)&~funny(X))<=>(~strong(X)|old(X))))&
(![X]:((~generous(X)|brave(X))=>(~old(X)<~>quiet(X))))&
(![X]:(curious(X)=>(~generous(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~old(X)&kind(X))))... | curious(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 439077152260991229370775
% SZS output start Proof for 439077152260991229370775
16. ! [X0] : ((~strong(X0) | curious(X0)) => (~curious(X0) & funny(X0))) [input p15]
25. curious(paul) [input hypothesis]
40. ! [X0] : ((~curious(X0) & funny(X0)) | (strong(X0) & ~curious(X0))) [ennf transforma... | 0 |
Everyone who is either not quiet or humble is funny or not wise.
If lucy is either not happy or kind then mary is generous or tall and vice versa.
If someone is tall or creative then john is tall or not calm and vice versa.
Everyone who is both generous and not creative is not brave.
Everyone who is both not happy and ... | Susan is brave. | contradiction | (![X]:((~quiet(X)<~>humble(X))=>(funny(X)|~wise(X))))&
(((~happy(lucy)<~>kind(lucy)))<=>((generous(mary)|tall(mary))))&
((?[X]:((tall(X)|creative(X))))<=>((tall(john)|~calm(john))))&
(![X]:((generous(X)&~creative(X))=>~brave(X)))&
(![X]:((~happy(X)&~quiet(X))<=>creative(X)))&
(((calm(john)&tall(john)))<=>(?[X]:((~humbl... | brave(susan) | [
"p4",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6030863071608716549854475
% SZS output start Proof for 6030863071608716549854475
5. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> creative(X0)) [input p4]
23. ~brave(susan) <~> creative(susan) [input p22]
24. quiet(susan) & ~curious(susan) [input p23]
25. brave(susan) [input hypothesis]
46. ! [... | 0 |
Everyone who is either happy or not humble is both not quiet and brave and vice versa. If someone is both calm and humble then someone is creative and vice versa. If someone is quiet then fred is calm or not quiet. Everyone who is not creative is either creative or humble. If fred is funny or generous then someone is n... | Susan is not humble. | neutral | (![X]:((happy(X)<~>~humble(X))<=>(~quiet(X)&brave(X))))&
((?[X]:((calm(X)&humble(X))))<=>(?[X]:(creative(X))))&
((?[X]:(quiet(X)))=>((calm(fred)|~quiet(fred))))&
(![X]:(~creative(X)=>(creative(X)<~>humble(X))))&
(((funny(fred)|generous(fred)))=>(?[X]:(~curious(X))))&
(((~calm(john)&~tall(john)))<=>((strong(susan)<~>hum... | ~humble(susan) | [] | null | 0 |
If someone is strong or not curious then lucy is not generous or tall and vice versa.
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not s... | Alice is calm. | contradiction | ((?[X]:((strong(X)|~curious(X))))<=>((~generous(lucy)|tall(lucy))))&
(![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|... | calm(alice) | [
"p1",
"p2",
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5147186739761558937311289
% SZS output start Proof for 5147186739761558937311289
2. ! [X0] : ((~brave(X0) | ~patient(X0)) => generous(X0)) [input p1]
3. kind(alice) <=> (~patient(john) | ~humble(john)) [input p2]
6. ! [X0] : (~funny(X0) <=> (~humble(X0) | funny(X0))) [input p5]
11. ! [X0]... | 0 |
Everyone who is curious or not patient is both not brave and not calm.
Everyone who is not brave is either not calm or curious.
If alice is not generous or brave then someone is old or happy and vice versa.
Everyone who is both rich and not quiet is not curious and vice versa.
If someone is wise or old then someone is ... | Paul is not brave. | contradiction | (![X]:((curious(X)|~patient(X))=>(~brave(X)&~calm(X))))&
(![X]:(~brave(X)=>(~calm(X)<~>curious(X))))&
(((~generous(alice)|brave(alice)))<=>(?[X]:((old(X)|happy(X)))))&
(![X]:((rich(X)&~quiet(X))<=>~curious(X)))&
((?[X]:((wise(X)|old(X))))=>(?[X]:(~brave(X))))&
(((happy(mary)&quiet(mary)))<=>(wise(alice)))&
(((patient(m... | ~brave(paul) | [
"p0",
"p1",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 888127776308827507223013
% SZS output start Proof for 888127776308827507223013
1. ! [X0] : ((~patient(X0) | curious(X0)) => (~calm(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~brave(X0) => (~calm(X0) <~> curious(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) & rich(X0)) <=> ~curious(X0)) [input... | 0 |
Everyone who is either not funny or curious is not rich and vice versa.
If someone is kind or calm then fred is both calm and quiet.
Everyone who is both calm and not strong is patient and vice versa.
Everyone who is either kind or patient is not quiet and vice versa.
Everyone who is not humble or curious is either hum... | Alice is happy. | neutral | (![X]:((~funny(X)<~>curious(X))<=>~rich(X)))&
((?[X]:((kind(X)|calm(X))))=>((calm(fred)&quiet(fred))))&
(![X]:((calm(X)&~strong(X))<=>patient(X)))&
(![X]:((kind(X)<~>patient(X))<=>~quiet(X)))&
(![X]:((~humble(X)|curious(X))=>(humble(X)<~>rich(X))))&
(((~rich(mary)<~>strong(mary)))<=>((wise(john)|creative(john))))&
(![X... | happy(alice) | [] | null | 0 |
If paul is curious or wise then alice is both not old and funny and vice versa.
Everyone who is either not rich or not patient is either creative or humble.
If lucy is either curious or strong then someone is both not happy and not curious.
If someone is not happy then lucy is rich.
If susan is not happy then alice is ... | Paul is humble. | contradiction | (((curious(paul)|wise(paul)))<=>((~old(alice)&funny(alice))))&
(![X]:((~rich(X)<~>~patient(X))=>(creative(X)<~>humble(X))))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:(~happy(X)))=>(rich(lucy)))&
((~happy(susan))<=>((~kind(alice)|~old(alice))))&
(![X]:((~calm(X)|calm(X))<=>~happy(X)))... | humble(paul) | [
"p0",
"p5",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2567671372401638782748859
% SZS output start Proof for 2567671372401638782748859
1. (wise(paul) | curious(paul)) <=> (funny(alice) & ~old(alice)) [input p0]
6. ! [X0] : ((calm(X0) | ~calm(X0)) <=> ~happy(X0)) [input p5]
11. (~humble(alice) | kind(alice)) <=> ? [X0] : (happy(X0) & ~brave(X... | 0 |
If someone is strong or not wise then someone is either not tall or not calm and vice versa.
If alice is both kind and calm then paul is either curious or kind and vice versa.
If someone is either patient or not old then mary is not kind.
If someone is not funny or not wise then someone is both old and not old.
If some... | John is humble. | contradiction | ((?[X]:((strong(X)|~wise(X))))<=>(?[X]:((~tall(X)<~>~calm(X)))))&
(((kind(alice)&calm(alice)))<=>((curious(paul)<~>kind(paul))))&
((?[X]:((patient(X)<~>~old(X))))=>(~kind(mary)))&
((?[X]:((~funny(X)|~wise(X))))=>(?[X]:((old(X)&~old(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(patient(X))))&
(![X]:(brave(X)=>(~patient(X)&~tall(X... | humble(john) | [
"p3",
"p4",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2801614003019675837296279
% SZS output start Proof for 2801614003019675837296279
4. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p3]
5. ? [X0] : ~quiet(X0) => ? [X0] : patient(X0) [input p4]
8. ! [X0] : (old(X0) => ~quiet(X0)) [input p7]
11. ! [X0] : (patient(... | 0 |
Everyone who is both not creative and rich is humble or rich and vice versa.
If someone is either not brave or quiet then paul is both not old and calm and vice versa.
Everyone who is either not wise or not curious is both kind and wise and vice versa.
Everyone who is curious is tall and vice versa.
Everyone who is bot... | Alice is patient. | entailment | (![X]:((~creative(X)&rich(X))<=>(humble(X)|rich(X))))&
((?[X]:((~brave(X)<~>quiet(X))))<=>((~old(paul)&calm(paul))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&wise(X))))&
(![X]:(curious(X)<=>tall(X)))&
(![X]:((funny(X)&~rich(X))<=>(~rich(X)<~>funny(X))))&
((?[X]:((calm(X)|~generous(X))))=>(?[X]:(creative(X))))&
((?[X... | patient(alice) | [
"p0",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6354672091924410061543700
% SZS output start Proof for 6354672091924410061543700
1. ! [X0] : ((rich(X0) & ~creative(X0)) <=> (rich(X0) | humble(X0))) [input p0]
5. ! [X0] : ((~rich(X0) & funny(X0)) <=> (~rich(X0) <~> funny(X0))) [input p4]
6. ? [X0] : (~generous(X0) | calm(X0)) => ? [X0] ... | 0 |
If someone is not old then alice is both not calm and not brave. Everyone who is both not happy and humble is either strong or old. If someone is either not strong or not brave then fred is either old or not creative. Everyone who is both kind and not humble is either not tall or not wise. Everyone who is not brave is ... | Fred is not happy. | contradiction | ((?[X]:(~old(X)))=>((~calm(alice)&~brave(alice))))&
(![X]:((~happy(X)&humble(X))=>(strong(X)<~>old(X))))&
((?[X]:((~strong(X)<~>~brave(X))))=>((old(fred)<~>~creative(fred))))&
(![X]:((kind(X)&~humble(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>calm(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((creative(X)&~brave(X... | ~happy(fred) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6791682162103004668127928
% SZS output start Proof for 6791682162103004668127928
1. ? [X0] : ~old(X0) => (~brave(alice) & ~calm(alice)) [input p0]
2. ! [X0] : ((humble(X0) & ~happy(X0)) => (strong(X0) <~> old(X0))) [input p1]
3. ? [X0] : (~strong(X0) <~> ~brave(X0)) => (old(fred) <~> ~cre... | 0 |
Everyone who is wise or funny is kind.
If someone is humble or not generous then mary is wise or kind and vice versa.
If someone is not strong or not calm then someone is not strong and vice versa.
If fred is not calm then john is either kind or strong.
If someone is happy or not happy then alice is either not happy or... | John is brave. | contradiction | (![X]:((wise(X)|funny(X))=>kind(X)))&
((?[X]:((humble(X)|~generous(X))))<=>((wise(mary)|kind(mary))))&
((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:(~strong(X))))&
((~calm(fred))=>((kind(john)<~>strong(john))))&
((?[X]:((happy(X)|~happy(X))))<=>((~happy(alice)<~>tall(alice))))&
(((old(mary)|humble(mary)))=>(?[X]:((calm(X)|t... | brave(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1354897371137325654342868
% SZS output start Proof for 1354897371137325654342868
10. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (brave(X0) | ~brave(X0))) [input p9]
25. brave(john) [input hypothesis]
62. ! [X0] : (((~humble(X0) & ~brave(X0)) | (~brave(X0) & brave(X0))) & ((brave(X0) | ~brav... | 0 |
Everyone who is not strong or not happy is not quiet or quiet and vice versa.
If lucy is generous or old then mary is creative or not calm.
Everyone who is not funny or not humble is not rich.
Everyone who is not funny or funny is both not humble and not funny.
Everyone who is either funny or tall is either creative or... | Lucy is not humble. | entailment | (![X]:((~strong(X)|~happy(X))<=>(~quiet(X)|quiet(X))))&
(((generous(lucy)|old(lucy)))=>((creative(mary)|~calm(mary))))&
(![X]:((~funny(X)|~humble(X))=>~rich(X)))&
(![X]:((~funny(X)|funny(X))=>(~humble(X)&~funny(X))))&
(![X]:((funny(X)<~>tall(X))=>(creative(X)<~>rich(X))))&
(![X]:((quiet(X)&~kind(X))=>(old(X)<~>generous... | ~humble(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6035853039907703676513485
% SZS output start Proof for 6035853039907703676513485
4. ! [X0] : ((funny(X0) | ~funny(X0)) => (~funny(X0) & ~humble(X0))) [input p3]
24. humble(lucy) [input hypothesis]
33. ! [X0] : ((~funny(X0) & ~humble(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 4]... | 0 |
Everyone who is happy is not strong and vice versa. Everyone who is strong is tall or patient and vice versa. If fred is both not curious and not quiet then someone is both patient and curious. If alice is calm then someone is happy and vice versa. Everyone who is kind or not old is either not curious or generous and v... | Alice is not wise. | entailment | (![X]:(happy(X)<=>~strong(X)))&
(![X]:(strong(X)<=>(tall(X)|patient(X))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((patient(X)&curious(X)))))&
((calm(alice))<=>(?[X]:(happy(X))))&
(![X]:((kind(X)|~old(X))<=>(~curious(X)<~>generous(X))))&
((~old(fred))=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((tall(X)<~>rich(X))<=>happ... | ~wise(alice) | [
"p0",
"p1",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5035585985253035534708425
% SZS output start Proof for 5035585985253035534708425
1. ! [X0] : (happy(X0) <=> ~strong(X0)) [input p0]
2. ! [X0] : (strong(X0) <=> (patient(X0) | tall(X0))) [input p1]
8. ! [X0] : ((brave(X0) | wise(X0)) => (patient(X0) & curious(X0))) [input p7]
15. ! [X0] : ... | 0 |
Everyone who is humble is both generous and not wise.
Everyone who is not curious is both not generous and curious.
Everyone who is not calm is curious or generous and vice versa.
If paul is calm then someone is not calm.
If alice is generous then someone is curious or not patient.
Everyone who is not quiet is old and ... | Fred is not generous. | neutral | (![X]:(humble(X)=>(generous(X)&~wise(X))))&
(![X]:(~curious(X)=>(~generous(X)&curious(X))))&
(![X]:(~calm(X)<=>(curious(X)|generous(X))))&
((calm(paul))=>(?[X]:(~calm(X))))&
((generous(alice))=>(?[X]:((curious(X)|~patient(X)))))&
(![X]:(~quiet(X)<=>old(X)))&
((?[X]:(~strong(X)))<=>((rich(john)|~kind(john))))&
(((~happy... | ~generous(fred) | [] | null | 0 |
Everyone who is either happy or strong is tall and vice versa. If someone is either not happy or old then someone is either not rich or quiet and vice versa. Everyone who is quiet is brave or not funny. If john is both not quiet and patient then someone is both funny and brave and vice versa. Everyone who is happy is b... | Susan is funny. | contradiction | (![X]:((happy(X)<~>strong(X))<=>tall(X)))&
((?[X]:((~happy(X)<~>old(X))))<=>(?[X]:((~rich(X)<~>quiet(X)))))&
(![X]:(quiet(X)=>(brave(X)|~funny(X))))&
(((~quiet(john)&patient(john)))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:(happy(X)<=>(~happy(X)&brave(X))))&
((?[X]:((~humble(X)|funny(X))))=>((happy(lucy)|~kind(lucy))))&
... | funny(susan) | [
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2869208697486136104923736
% SZS output start Proof for 2869208697486136104923736
5. ! [X0] : (happy(X0) <=> (brave(X0) & ~happy(X0))) [input p4]
6. ? [X0] : (funny(X0) | ~humble(X0)) => (~kind(lucy) | happy(lucy)) [input p5]
12. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => (creative(X0) & kind... | 0 |
Everyone who is both not kind and happy is both rich and quiet. Everyone who is not quiet or quiet is either old or strong. If paul is not generous or humble then someone is either humble or generous and vice versa. If susan is not wise or calm then someone is tall or not old. If alice is either funny or rich then john... | John is calm. | contradiction | (![X]:((~kind(X)&happy(X))=>(rich(X)&quiet(X))))&
(![X]:((~quiet(X)|quiet(X))=>(old(X)<~>strong(X))))&
(((~generous(paul)|humble(paul)))<=>(?[X]:((humble(X)<~>generous(X)))))&
(((~wise(susan)|calm(susan)))=>(?[X]:((tall(X)|~old(X)))))&
(((funny(alice)<~>rich(alice)))=>((~quiet(john)<~>calm(john))))&
((?[X]:((~old(X)|~t... | calm(john) | [
"p5",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2398731393831452667365037
% SZS output start Proof for 2398731393831452667365037
6. ? [X0] : (~tall(X0) | ~old(X0)) => happy(john) [input p5]
15. ! [X0] : ((patient(X0) | happy(X0)) <=> (patient(X0) & ~calm(X0))) [input p14]
22. ? [X0] : ~old(X0) [input p21]
25. calm(john) [input hypothes... | 0 |
If lucy is not calm then someone is both not strong and wise and vice versa. If someone is tall or not curious then someone is not curious or kind and vice versa. Everyone who is not creative or brave is not curious or rich. Everyone who is either happy or not quiet is strong or not quiet and vice versa. Everyone who i... | Lucy is not old. | neutral | ((~calm(lucy))<=>(?[X]:((~strong(X)&wise(X)))))&
((?[X]:((tall(X)|~curious(X))))<=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:((~creative(X)|brave(X))=>(~curious(X)|rich(X))))&
(![X]:((happy(X)<~>~quiet(X))<=>(strong(X)|~quiet(X))))&
(![X]:((happy(X)<~>~old(X))<=>(~calm(X)<~>creative(X))))&
(![X]:((quiet(X)<~>strong(X))=>(... | ~old(lucy) | [] | null | 0 |
If fred is generous or not quiet then fred is kind or not rich. Everyone who is happy is not generous or quiet. Everyone who is not creative is generous or not wise and vice versa. Everyone who is either old or quiet is kind or not calm. If paul is either not happy or not quiet then paul is not tall or creative. Everyo... | John is not wise. | neutral | (((generous(fred)|~quiet(fred)))=>((kind(fred)|~rich(fred))))&
(![X]:(happy(X)=>(~generous(X)|quiet(X))))&
(![X]:(~creative(X)<=>(generous(X)|~wise(X))))&
(![X]:((old(X)<~>quiet(X))=>(kind(X)|~calm(X))))&
(((~happy(paul)<~>~quiet(paul)))=>((~tall(paul)|creative(paul))))&
(![X]:((creative(X)|~wise(X))=>(wise(X)<~>~calm(... | ~wise(john) | [] | null | 0 |
Everyone who is either humble or not humble is both creative and patient.
Everyone who is calm or rich is both not calm and creative.
If lucy is not funny then someone is old.
If someone is rich then john is not creative or happy and vice versa.
Everyone who is either calm or not rich is not old or funny and vice versa... | Fred is kind. | contradiction | (![X]:((humble(X)<~>~humble(X))=>(creative(X)&patient(X))))&
(![X]:((calm(X)|rich(X))=>(~calm(X)&creative(X))))&
((~funny(lucy))=>(?[X]:(old(X))))&
((?[X]:(rich(X)))<=>((~creative(john)|happy(john))))&
(![X]:((calm(X)<~>~rich(X))<=>(~old(X)|funny(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(kind(X)<~>~calm(X))))&
(![X]:((~t... | kind(fred) | [
"p0",
"p1",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1436455101973465438958540
% SZS output start Proof for 1436455101973465438958540
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (patient(X0) & creative(X0))) [input p0]
2. ! [X0] : ((rich(X0) | calm(X0)) => (creative(X0) & ~calm(X0))) [input p1]
6. ! [X0] : ((~brave(X0) <~> ~funny(X0)) => (... | 0 |
Everyone who is curious is not brave and vice versa.
If someone is rich or wise then someone is patient.
Everyone who is humble or not creative is either wise or not old and vice versa.
If lucy is either humble or wise then someone is both not quiet and patient and vice versa.
Everyone who is not creative is both stron... | Paul is quiet. | contradiction | (![X]:(curious(X)<=>~brave(X)))&
((?[X]:((rich(X)|wise(X))))=>(?[X]:(patient(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)<~>~old(X))))&
(((humble(lucy)<~>wise(lucy)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~creative(X)<=>(strong(X)&creative(X))))&
(![X]:(~brave(X)<=>(brave(X)&~generous(X))))&
(![X]:((~quiet(X)... | quiet(paul) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 384374019508614394664520
% SZS output start Proof for 384374019508614394664520
5. ! [X0] : (~creative(X0) <=> (creative(X0) & strong(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) <~> kind(X0)) <=> (~calm(X0) <~> kind(X0))) [input p6]
9. ! [X0] : (~calm(X0) <=> creative(X0)) [input p8]
23. qui... | 0 |
Everyone who is either kind or humble is either calm or not patient and vice versa.
If susan is both old and not patient then someone is both kind and creative.
Everyone who is either humble or not quiet is both quiet and not strong.
If someone is brave or not funny then someone is either brave or not brave.
If fred is... | Susan is quiet. | entailment | (![X]:((kind(X)<~>humble(X))<=>(calm(X)<~>~patient(X))))&
(((old(susan)&~patient(susan)))=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((humble(X)<~>~quiet(X))=>(quiet(X)&~strong(X))))&
((?[X]:((brave(X)|~funny(X))))=>(?[X]:((brave(X)<~>~brave(X)))))&
(((~curious(fred)|creative(fred)))=>(?[X]:(rich(X))))&
(![X]:((patient(X)... | quiet(susan) | [
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 940261480998398945307026
% SZS output start Proof for 940261480998398945307026
10. ! [X0] : (calm(X0) <=> wise(X0)) [input p9]
15. quiet(susan) <=> ? [X0] : calm(X0) [input p14]
21. ? [X0] : (rich(X0) & wise(X0)) [input p20]
25. ~quiet(susan) [input hypothesis]
56. ! [X0] : ((calm(X0) | ~... | 0 |
Everyone who is quiet is not generous or not tall and vice versa.
If alice is curious then lucy is humble.
If someone is either not old or funny then someone is curious or not calm.
If someone is not strong then susan is either not quiet or not calm and vice versa.
Everyone who is both not curious and brave is not brav... | Paul is wise. | contradiction | (![X]:(quiet(X)<=>(~generous(X)|~tall(X))))&
((curious(alice))=>(humble(lucy)))&
((?[X]:((~old(X)<~>funny(X))))=>(?[X]:((curious(X)|~calm(X)))))&
((?[X]:(~strong(X)))<=>((~quiet(susan)<~>~calm(susan))))&
(![X]:((~curious(X)&brave(X))=>(~brave(X)|rich(X))))&
((?[X]:((happy(X)<~>funny(X))))=>(~funny(paul)))&
(![X]:(~gene... | wise(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 289602578846848343775727
% SZS output start Proof for 289602578846848343775727
10. wise(paul) => ~wise(paul) [input p9]
25. wise(paul) [input hypothesis]
33. ~wise(paul) | ~wise(paul) [ennf transformation 10]
88. ~wise(paul) | ~wise(paul) [cnf transformation 33]
122. wise(paul) [cnf trans... | 0 |
If someone is either not brave or funny then someone is patient.
If someone is either not wise or rich then paul is either not old or curious.
Everyone who is both not strong and rich is not rich or quiet.
If someone is patient or not funny then paul is both not generous and quiet and vice versa.
If paul is not generou... | Mary is brave. | contradiction | ((?[X]:((~brave(X)<~>funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~wise(X)<~>rich(X))))=>((~old(paul)<~>curious(paul))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|quiet(X))))&
((?[X]:((patient(X)|~funny(X))))<=>((~generous(paul)&quiet(paul))))&
((~generous(paul))<=>(old(mary)))&
((?[X]:((~generous(X)<~>~funny(X))))=>(?[X]... | brave(mary) | [
"p0",
"p3",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2365350786929951757964228
% SZS output start Proof for 2365350786929951757964228
1. ? [X0] : (~brave(X0) <~> funny(X0)) => ? [X0] : patient(X0) [input p0]
4. ? [X0] : (~funny(X0) | patient(X0)) <=> (quiet(paul) & ~generous(paul)) [input p3]
8. ! [X0] : ((quiet(X0) | calm(X0)) => (patient(... | 0 |
Everyone who is humble is not quiet or not generous and vice versa. If someone is either not generous or calm then susan is either generous or not tall and vice versa. If someone is not creative then paul is both curious and humble and vice versa. Everyone who is both not wise and not tall is either not rich or quiet. ... | Paul is not patient. | contradiction | (![X]:(humble(X)<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(susan)<~>~tall(susan))))&
((?[X]:(~creative(X)))<=>((curious(paul)&humble(paul))))&
(![X]:((~wise(X)&~tall(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((funny(X)&rich(X))<=>(humble(X)<~>tall(X))))&
(![X]:(old(X)=>(~generous(X)&happy(... | ~patient(paul) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5386017940825475768159741
% SZS output start Proof for 5386017940825475768159741
1. ! [X0] : (humble(X0) <=> (~generous(X0) | ~quiet(X0))) [input p0]
5. ! [X0] : ((rich(X0) & funny(X0)) <=> (humble(X0) <~> tall(X0))) [input p4]
6. ! [X0] : (old(X0) => (happy(X0) & ~generous(X0))) [input p... | 0 |
Everyone who is not curious or not strong is either not patient or patient and vice versa. Everyone who is not patient or not quiet is both humble and not happy and vice versa. If paul is not strong or not brave then someone is not funny. Everyone who is both rich and generous is both not curious and quiet. Everyone wh... | Fred is not strong. | neutral | (![X]:((~curious(X)|~strong(X))<=>(~patient(X)<~>patient(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(humble(X)&~happy(X))))&
(((~strong(paul)|~brave(paul)))=>(?[X]:(~funny(X))))&
(![X]:((rich(X)&generous(X))=>(~curious(X)&quiet(X))))&
(![X]:((~wise(X)<~>patient(X))<=>~humble(X)))&
(![X]:((~tall(X)&~happy(X))=>(~brave(X)|~... | ~strong(fred) | [] | null | 0 |
Everyone who is both not kind and not wise is both not quiet and not rich. Everyone who is generous is either not generous or humble. Everyone who is both calm and not quiet is not humble and vice versa. Everyone who is strong or funny is either not happy or not quiet and vice versa. Everyone who is either not patient ... | Alice is not generous. | entailment | (![X]:((~kind(X)&~wise(X))=>(~quiet(X)&~rich(X))))&
(![X]:(generous(X)=>(~generous(X)<~>humble(X))))&
(![X]:((calm(X)&~quiet(X))<=>~humble(X)))&
(![X]:((strong(X)|funny(X))<=>(~happy(X)<~>~quiet(X))))&
(![X]:((~patient(X)<~>happy(X))=>kind(X)))&
(![X]:((~old(X)<~>humble(X))<=>(calm(X)&~old(X))))&
(![X]:((~strong(X)|~ha... | ~generous(alice) | [
"p1",
"p6",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8891180736195974587814825
% SZS output start Proof for 8891180736195974587814825
2. ! [X0] : (generous(X0) => (~generous(X0) <~> humble(X0))) [input p1]
7. ! [X0] : ((~happy(X0) | ~strong(X0)) => (~rich(X0) & humble(X0))) [input p6]
14. (humble(mary) | ~calm(mary)) <=> (~creative(alice) &... | 0 |
If susan is both not humble and brave then fred is funny or happy and vice versa.
Everyone who is both not happy and tall is old or not quiet.
If mary is old or not kind then someone is funny.
If someone is not happy then lucy is either not funny or not old and vice versa.
Everyone who is both rich and not curious is c... | Lucy is not curious. | entailment | (((~humble(susan)&brave(susan)))<=>((funny(fred)|happy(fred))))&
(![X]:((~happy(X)&tall(X))=>(old(X)|~quiet(X))))&
(((old(mary)|~kind(mary)))=>(?[X]:(funny(X))))&
((?[X]:(~happy(X)))<=>((~funny(lucy)<~>~old(lucy))))&
(![X]:((rich(X)&~curious(X))<=>curious(X)))&
((?[X]:((old(X)<~>creative(X))))=>(~kind(john)))&
(![X]:((... | ~curious(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1182674812450591557699488
% SZS output start Proof for 1182674812450591557699488
5. ! [X0] : ((~curious(X0) & rich(X0)) <=> curious(X0)) [input p4]
24. curious(lucy) [input hypothesis]
43. ! [X0] : (((~curious(X0) & rich(X0)) | ~curious(X0)) & (curious(X0) | (curious(X0) | ~rich(X0)))) [n... | 0 |
Everyone who is either funny or not curious is either old or tall. Everyone who is not patient is happy and vice versa. If lucy is both wise and not wise then someone is not curious or rich. If someone is either not old or not curious then paul is either not happy or kind and vice versa. Everyone who is patient or stro... | Alice is funny. | contradiction | (![X]:((funny(X)<~>~curious(X))=>(old(X)<~>tall(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(((wise(lucy)&~wise(lucy)))=>(?[X]:((~curious(X)|rich(X)))))&
((?[X]:((~old(X)<~>~curious(X))))<=>((~happy(paul)<~>kind(paul))))&
(![X]:((patient(X)|strong(X))=>(~curious(X)|~humble(X))))&
(![X]:((calm(X)|~old(X))<=>~creative(X)))&
... | funny(alice) | [
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1743905521083275367380806
% SZS output start Proof for 1743905521083275367380806
8. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> brave(X0)) [input p7]
9. ! [X0] : (~rich(X0) => (quiet(X0) & ~funny(X0))) [input p8]
16. ! [X0] : (~rich(X0) <=> (~humble(X0) | generous(X0))) [input p15]
24. funny... | 0 |
Everyone who is not funny is both not brave and funny. Everyone who is quiet or not old is both generous and not humble. If someone is both not kind and kind then lucy is both wise and not humble and vice versa. Everyone who is patient or not creative is old and vice versa. Everyone who is either humble or curious is b... | John is not old. | contradiction | (![X]:(~funny(X)=>(~brave(X)&funny(X))))&
(![X]:((quiet(X)|~old(X))=>(generous(X)&~humble(X))))&
((?[X]:((~kind(X)&kind(X))))<=>((wise(lucy)&~humble(lucy))))&
(![X]:((patient(X)|~creative(X))<=>old(X)))&
(![X]:((humble(X)<~>curious(X))=>(~funny(X)&~brave(X))))&
((old(lucy))=>(?[X]:((~wise(X)<~>~old(X)))))&
(((~wise(ali... | ~old(john) | [
"p1",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6333337873554266827344033
% SZS output start Proof for 6333337873554266827344033
2. ! [X0] : ((~old(X0) | quiet(X0)) => (~humble(X0) & generous(X0))) [input p1]
4. ! [X0] : ((~creative(X0) | patient(X0)) <=> old(X0)) [input p3]
19. humble(john) | ~creative(john) [input p18]
25. ~old(john)... | 0 |
Everyone who is not rich is either not strong or not old and vice versa. If someone is patient then someone is both not humble and not patient. If someone is either strong or curious then someone is either happy or not wise and vice versa. Everyone who is either not patient or not funny is either not curious or not tal... | Alice is wise. | neutral | (![X]:(~rich(X)<=>(~strong(X)<~>~old(X))))&
((?[X]:(patient(X)))=>(?[X]:((~humble(X)&~patient(X)))))&
((?[X]:((strong(X)<~>curious(X))))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((~patient(X)<~>~funny(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((curious(X)<~>wise(X))<=>calm(X)))&
(![X]:((~curious(X)&~rich(X))<=>(generous(... | wise(alice) | [] | null | 0 |
Everyone who is not old or not funny is both not curious and not humble and vice versa.
If fred is both not happy and tall then someone is both wise and humble.
If susan is creative or not creative then someone is funny and vice versa.
Everyone who is not creative or not old is both strong and old and vice versa.
Every... | Fred is not patient. | neutral | (![X]:((~old(X)|~funny(X))<=>(~curious(X)&~humble(X))))&
(((~happy(fred)&tall(fred)))=>(?[X]:((wise(X)&humble(X)))))&
(((creative(susan)|~creative(susan)))<=>(?[X]:(funny(X))))&
(![X]:((~creative(X)|~old(X))<=>(strong(X)&old(X))))&
(![X]:((~wise(X)&~curious(X))=>tall(X)))&
(![X]:((~creative(X)|kind(X))=>(happy(X)|old(X... | ~patient(fred) | [] | null | 0 |
If someone is either happy or not funny then susan is not curious or not rich and vice versa.
Everyone who is not brave is kind or not curious and vice versa.
Everyone who is funny is quiet or not generous and vice versa.
If someone is not rich or old then someone is brave and vice versa.
If someone is both not funny a... | Alice is quiet. | contradiction | ((?[X]:((happy(X)<~>~funny(X))))<=>((~curious(susan)|~rich(susan))))&
(![X]:(~brave(X)<=>(kind(X)|~curious(X))))&
(![X]:(funny(X)<=>(quiet(X)|~generous(X))))&
((?[X]:((~rich(X)|old(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~funny(X)&humble(X))))=>(?[X]:((happy(X)|~happy(X)))))&
((?[X]:((~strong(X)&~patient(X))))<=>(?[X]:((~... | quiet(alice) | [
"p1",
"p8",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3191681323081154972930904
% SZS output start Proof for 3191681323081154972930904
2. ! [X0] : (~brave(X0) <=> (~curious(X0) | kind(X0))) [input p1]
9. ! [X0] : ((~curious(X0) <~> old(X0)) <=> (generous(X0) & ~curious(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (~quiet(X0) <~> ~old(X0)... | 0 |
Everyone who is not humble is both curious and not patient. Everyone who is creative is either curious or not tall and vice versa. Everyone who is both old and not old is quiet and vice versa. If someone is patient or not strong then mary is either not brave or not wise and vice versa. If alice is either strong or crea... | Paul is not calm. | neutral | (![X]:(~humble(X)=>(curious(X)&~patient(X))))&
(![X]:(creative(X)<=>(curious(X)<~>~tall(X))))&
(![X]:((old(X)&~old(X))<=>quiet(X)))&
((?[X]:((patient(X)|~strong(X))))<=>((~brave(mary)<~>~wise(mary))))&
(((strong(alice)<~>creative(alice)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((happy(X)|~generous(X))<=>(~brave(X... | ~calm(paul) | [] | null | 0 |
If someone is either not creative or wise then paul is not wise or funny. Everyone who is either not patient or quiet is both patient and not quiet and vice versa. Everyone who is happy or humble is both generous and not calm. If paul is either not old or brave then susan is either patient or not generous. Everyone who... | Susan is quiet. | entailment | ((?[X]:((~creative(X)<~>wise(X))))=>((~wise(paul)|funny(paul))))&
(![X]:((~patient(X)<~>quiet(X))<=>(patient(X)&~quiet(X))))&
(![X]:((happy(X)|humble(X))=>(generous(X)&~calm(X))))&
(((~old(paul)<~>brave(paul)))=>((patient(susan)<~>~generous(susan))))&
(![X]:((curious(X)|~funny(X))<=>(~patient(X)|generous(X))))&
(((funn... | quiet(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1025061248212144506454534
% SZS output start Proof for 1025061248212144506454534
2. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (~quiet(X0) & patient(X0))) [input p1]
23. ~quiet(susan) [input hypothesis]
38. ! [X0] : ((((~quiet(X0) | patient(X0)) & (quiet(X0) | ~patient(X0))) | (quiet(X0) ... | 0 |
Everyone who is not calm or not quiet is either old or not kind.
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then ali... | John is not tall. | contradiction | (![X]:((~calm(X)|~quiet(X))=>(old(X)<~>~kind(X))))&
(![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))... | ~tall(john) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1169595581954852590485343
% SZS output start Proof for 1169595581954852590485343
2. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p1]
7. ! [X0] : ((~wise(X0) | creative(X0)) <=> rich(X0)) [input p6]
8. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~happy(X0) | ~tall(... | 0 |
If paul is not strong or not humble then someone is happy.
If susan is both creative and not happy then someone is both funny and not humble and vice versa.
If someone is either rich or strong then someone is both creative and not calm.
Everyone who is humble is either not old or strong.
If susan is both not tall and n... | Susan is not humble. | entailment | (((~strong(paul)|~humble(paul)))=>(?[X]:(happy(X))))&
(((creative(susan)&~happy(susan)))<=>(?[X]:((funny(X)&~humble(X)))))&
((?[X]:((rich(X)<~>strong(X))))=>(?[X]:((creative(X)&~calm(X)))))&
(![X]:(humble(X)=>(~old(X)<~>strong(X))))&
(((~tall(susan)&~humble(susan)))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)<~>~happy... | ~humble(susan) | [
"p2",
"p4",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7512231700758247900319062
% SZS output start Proof for 7512231700758247900319062
3. ? [X0] : (rich(X0) <~> strong(X0)) => ? [X0] : (~calm(X0) & creative(X0)) [input p2]
5. (~humble(susan) & ~tall(susan)) <=> ? [X0] : ~strong(X0) [input p4]
9. ! [X0] : (~rich(X0) <=> (strong(X0) | calm(X0)... | 0 |
Everyone who is not curious or not calm is not generous and vice versa.
Everyone who is not happy or strong is both not calm and not happy.
Everyone who is not funny is creative or generous and vice versa.
If alice is either happy or tall then john is not patient and vice versa.
Everyone who is generous or not brave is... | Mary is patient. | neutral | (![X]:((~curious(X)|~calm(X))<=>~generous(X)))&
(![X]:((~happy(X)|strong(X))=>(~calm(X)&~happy(X))))&
(![X]:(~funny(X)<=>(creative(X)|generous(X))))&
(((happy(alice)<~>tall(alice)))<=>(~patient(john)))&
(![X]:((generous(X)|~brave(X))=>(~kind(X)|~happy(X))))&
(((generous(alice)|quiet(alice)))=>(?[X]:(brave(X))))&
(((~ha... | patient(mary) | [] | null | 0 |
Everyone who is generous is strong and vice versa.
If someone is both happy and creative then alice is old and vice versa.
If someone is either not curious or kind then alice is both old and not brave and vice versa.
If paul is strong or not patient then someone is not old.
Everyone who is either not creative or not ki... | Fred is tall. | neutral | (![X]:(generous(X)<=>strong(X)))&
((?[X]:((happy(X)&creative(X))))<=>(old(alice)))&
((?[X]:((~curious(X)<~>kind(X))))<=>((old(alice)&~brave(alice))))&
(((strong(paul)|~patient(paul)))=>(?[X]:(~old(X))))&
(![X]:((~creative(X)<~>~kind(X))=>(~tall(X)|old(X))))&
(![X]:((old(X)|~creative(X))<=>(~patient(X)&~wise(X))))&
((~c... | tall(fred) | [] | null | 0 |
If someone is both not humble and not old then someone is either not rich or not old. If someone is kind or creative then mary is either strong or not funny and vice versa. Everyone who is patient or humble is strong or not strong and vice versa. Everyone who is both not generous and wise is either humble or patient an... | Susan is quiet. | contradiction | ((?[X]:((~humble(X)&~old(X))))=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:((kind(X)|creative(X))))<=>((strong(mary)<~>~funny(mary))))&
(![X]:((patient(X)|humble(X))<=>(strong(X)|~strong(X))))&
(![X]:((~generous(X)&wise(X))<=>(humble(X)<~>patient(X))))&
(![X]:(patient(X)=>(funny(X)<~>~quiet(X))))&
((?[X]:((wise(X)<~>~humbl... | quiet(susan) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4194706046732266254934897
% SZS output start Proof for 4194706046732266254934897
3. ! [X0] : ((humble(X0) | patient(X0)) <=> (~strong(X0) | strong(X0))) [input p2]
4. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (humble(X0) <~> patient(X0))) [input p3]
5. ! [X0] : (patient(X0) => (funny(X0) <... | 0 |
If john is brave then susan is not kind or not old and vice versa.
Everyone who is both funny and happy is not strong or not creative.
If john is not curious then fred is happy and vice versa.
Everyone who is tall or not curious is either creative or not calm.
Everyone who is both calm and not curious is both not happy... | Paul is calm. | neutral | ((brave(john))<=>((~kind(susan)|~old(susan))))&
(![X]:((funny(X)&happy(X))=>(~strong(X)|~creative(X))))&
((~curious(john))<=>(happy(fred)))&
(![X]:((tall(X)|~curious(X))=>(creative(X)<~>~calm(X))))&
(![X]:((calm(X)&~curious(X))=>(~happy(X)&~kind(X))))&
((?[X]:((~curious(X)<~>~creative(X))))<=>((~old(susan)&~tall(susan)... | calm(paul) | [] | null | 0 |
Everyone who is happy is both not humble and old and vice versa.
Everyone who is not rich or not quiet is both not happy and brave and vice versa.
Everyone who is either not rich or patient is happy or tall and vice versa.
If fred is either tall or not generous then someone is strong and vice versa.
Everyone who is not... | Mary is not old. | neutral | (![X]:(happy(X)<=>(~humble(X)&old(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(~happy(X)&brave(X))))&
(![X]:((~rich(X)<~>patient(X))<=>(happy(X)|tall(X))))&
(((tall(fred)<~>~generous(fred)))<=>(?[X]:(strong(X))))&
(![X]:((~patient(X)|calm(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((humble(X)&patient(X))<=>(~patient(X)&kind(X)))... | ~old(mary) | [] | null | 0 |
If susan is both not happy and curious then paul is either calm or happy.
Everyone who is patient is not tall and vice versa.
Everyone who is both not brave and not happy is not patient and vice versa.
Everyone who is tall is both not strong and not curious and vice versa.
If fred is tall or happy then someone is both ... | Paul is brave. | entailment | (((~happy(susan)&curious(susan)))=>((calm(paul)<~>happy(paul))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~brave(X)&~happy(X))<=>~patient(X)))&
(![X]:(tall(X)<=>(~strong(X)&~curious(X))))&
(((tall(fred)|happy(fred)))<=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)|~calm(X))))&
((?[X]:((... | brave(paul) | [
"p1",
"p3",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8208822292121149888166170
% SZS output start Proof for 8208822292121149888166170
2. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p1]
4. ! [X0] : (tall(X0) <=> (~curious(X0) & ~strong(X0))) [input p3]
10. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> tall(X0)) [input p9]
17. strong(paul) [inp... | 0 |
If someone is funny then lucy is kind or not patient.
If someone is either not old or old then john is either not happy or strong and vice versa.
Everyone who is funny or not kind is both not old and generous and vice versa.
Everyone who is strong or curious is both patient and brave and vice versa.
If someone is not o... | John is not funny. | entailment | ((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))&
((?[X]:((~old(X)<~>old(X))))<=>((~happy(john)<~>strong(john))))&
(![X]:((funny(X)|~kind(X))<=>(~old(X)&generous(X))))&
(![X]:((strong(X)|curious(X))<=>(patient(X)&brave(X))))&
((?[X]:((~old(X)|~kind(X))))<=>(calm(alice)))&
((~tall(alice))<=>(~generous(lucy)))&
(![X]:(... | ~funny(john) | [
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1249731414935215090102956
% SZS output start Proof for 1249731414935215090102956
3. ! [X0] : ((~kind(X0) | funny(X0)) <=> (generous(X0) & ~old(X0))) [input p2]
4. ! [X0] : ((curious(X0) | strong(X0)) <=> (brave(X0) & patient(X0))) [input p3]
5. ? [X0] : (~kind(X0) | ~old(X0)) <=> calm(ali... | 0 |
If paul is either not curious or not calm then someone is not humble and vice versa.
If someone is either not patient or not funny then paul is both not tall and not funny and vice versa.
If paul is both not wise and tall then someone is either brave or old and vice versa.
Everyone who is either wise or brave is both n... | Mary is strong. | entailment | (((~curious(paul)<~>~calm(paul)))<=>(?[X]:(~humble(X))))&
((?[X]:((~patient(X)<~>~funny(X))))<=>((~tall(paul)&~funny(paul))))&
(((~wise(paul)&tall(paul)))<=>(?[X]:((brave(X)<~>old(X)))))&
(![X]:((wise(X)<~>brave(X))=>(~wise(X)&~humble(X))))&
((~curious(susan))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~patient(X)&generous... | strong(mary) | [
"p2",
"p3",
"p7",
"p9",
"p11",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2058927244231969168423193
% SZS output start Proof for 2058927244231969168423193
3. (tall(paul) & ~wise(paul)) <=> ? [X0] : (brave(X0) <~> old(X0)) [input p2]
4. ! [X0] : ((wise(X0) <~> brave(X0)) => (~humble(X0) & ~wise(X0))) [input p3]
8. ! [X0] : ((~brave(X0) | patient(X0)) <=> (~kind(... | 0 |
If someone is not happy then someone is brave and vice versa.
Everyone who is not happy is not curious or not humble and vice versa.
If alice is either not funny or not patient then someone is brave or kind.
Everyone who is humble is either calm or not patient.
If susan is both old and not patient then someone is both ... | John is not happy. | contradiction | ((?[X]:(~happy(X)))<=>(?[X]:(brave(X))))&
(![X]:(~happy(X)<=>(~curious(X)|~humble(X))))&
(((~funny(alice)<~>~patient(alice)))=>(?[X]:((brave(X)|kind(X)))))&
(![X]:(humble(X)=>(calm(X)<~>~patient(X))))&
(((old(susan)&~patient(susan)))=>(?[X]:((kind(X)&creative(X)))))&
(![X]:((humble(X)<~>~quiet(X))=>(quiet(X)&~strong(X)... | ~happy(john) | [
"p1",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3525999564441549746905289
% SZS output start Proof for 3525999564441549746905289
2. ! [X0] : (~happy(X0) <=> (~humble(X0) | ~curious(X0))) [input p1]
10. ! [X0] : (~happy(X0) => ~generous(X0)) [input p9]
12. ! [X0] : (old(X0) <=> generous(X0)) [input p11]
16. (~generous(john) | ~curious(j... | 0 |
Everyone who is curious is not generous and vice versa.
Everyone who is both creative and not rich is not curious or not creative and vice versa.
If susan is old then alice is not quiet and vice versa.
If someone is generous then someone is old or not rich.
Everyone who is happy is not wise and vice versa.
If fred is n... | Paul is not wise. | neutral | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((creative(X)&~rich(X))<=>(~curious(X)|~creative(X))))&
((old(susan))<=>(~quiet(alice)))&
((?[X]:(generous(X)))=>(?[X]:((old(X)|~rich(X)))))&
(![X]:(happy(X)<=>~wise(X)))&
(((~strong(fred)|~patient(fred)))=>((humble(paul)<~>~calm(paul))))&
(![X]:((kind(X)<~>~calm(X))<=>~wise(X)... | ~wise(paul) | [] | null | 0 |
Everyone who is both rich and generous is generous or curious.
If john is not funny or wise then someone is both not wise and not creative and vice versa.
If someone is either not generous or brave then lucy is either not wise or old.
Everyone who is not brave is not creative or quiet.
Everyone who is tall is curious o... | Mary is not old. | entailment | (![X]:((rich(X)&generous(X))=>(generous(X)|curious(X))))&
(((~funny(john)|wise(john)))<=>(?[X]:((~wise(X)&~creative(X)))))&
((?[X]:((~generous(X)<~>brave(X))))=>((~wise(lucy)<~>old(lucy))))&
(![X]:(~brave(X)=>(~creative(X)|quiet(X))))&
(![X]:(tall(X)<=>(curious(X)|brave(X))))&
(![X]:((curious(X)<~>strong(X))=>quiet(X))... | ~old(mary) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1928925345132191557163558
% SZS output start Proof for 1928925345132191557163558
4. ! [X0] : (~brave(X0) => (quiet(X0) | ~creative(X0))) [input p3]
5. ! [X0] : (tall(X0) <=> (brave(X0) | curious(X0))) [input p4]
9. ~old(mary) <=> ? [X0] : (rich(X0) | kind(X0)) [input p8]
10. ! [X0] : (cre... | 0 |
Everyone who is humble or not tall is either strong or not happy and vice versa.
Everyone who is either strong or quiet is both not rich and not calm.
Everyone who is both strong and wise is calm.
If fred is not creative or humble then mary is not humble and vice versa.
If someone is funny or brave then john is funny.
... | John is not creative. | contradiction | (![X]:((humble(X)|~tall(X))<=>(strong(X)<~>~happy(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~rich(X)&~calm(X))))&
(![X]:((strong(X)&wise(X))=>calm(X)))&
(((~creative(fred)|humble(fred)))<=>(~humble(mary)))&
((?[X]:((funny(X)|brave(X))))=>(funny(john)))&
(((calm(fred)<~>~creative(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((funny... | ~creative(john) | [
"p0",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6491012411333116166403030
% SZS output start Proof for 6491012411333116166403030
1. ! [X0] : ((~tall(X0) | humble(X0)) <=> (strong(X0) <~> ~happy(X0))) [input p0]
7. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (tall(X0) & ~kind(X0))) [input p6]
8. ? [X0] : ~creative(X0) => ~funny(paul) [input ... | 0 |
Everyone who is not calm or not funny is not happy or old and vice versa. If someone is both not funny and not kind then someone is either not generous or not funny. Everyone who is both not rich and not wise is either wise or not happy and vice versa. If fred is not tall or not happy then john is not patient. Everyone... | John is not calm. | entailment | (![X]:((~calm(X)|~funny(X))<=>(~happy(X)|old(X))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(wise(X)<~>~happy(X))))&
(((~tall(fred)|~happy(fred)))=>(~patient(john)))&
(![X]:((happy(X)|curious(X))<=>(curious(X)|rich(X))))&
(![X]:((~funny(X)<~>funny(X))=>(curious... | ~calm(john) | [
"p0",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4851050111795998474363611
% SZS output start Proof for 4851050111795998474363611
1. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (old(X0) | ~happy(X0))) [input p0]
9. ! [X0] : (happy(X0) <=> (~happy(X0) | ~humble(X0))) [input p8]
12. ! [X0] : (old(X0) => funny(X0)) [input p11]
14. ! [X0] : ((ca... | 0 |
Everyone who is calm is patient or generous and vice versa.
Everyone who is either not wise or quiet is tall or not patient.
Everyone who is not calm is not patient.
Everyone who is not generous or not kind is not rich and vice versa.
If someone is either patient or not wise then john is not creative.
If paul is brave ... | John is creative. | contradiction | (![X]:(calm(X)<=>(patient(X)|generous(X))))&
(![X]:((~wise(X)<~>quiet(X))=>(tall(X)|~patient(X))))&
(![X]:(~calm(X)=>~patient(X)))&
(![X]:((~generous(X)|~kind(X))<=>~rich(X)))&
((?[X]:((patient(X)<~>~wise(X))))=>(~creative(john)))&
(((brave(paul)|wise(paul)))<=>(?[X]:(kind(X))))&
(![X]:((tall(X)<~>old(X))=>(~brave(X)&h... | creative(john) | [
"p4",
"p8",
"p10",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5691390478558130615675232
% SZS output start Proof for 5691390478558130615675232
5. ? [X0] : (patient(X0) <~> ~wise(X0)) => ~creative(john) [input p4]
9. ? [X0] : ~kind(X0) <=> ? [X0] : (curious(X0) & ~tall(X0)) [input p8]
11. ! [X0] : ((~generous(X0) | ~calm(X0)) <=> (~creative(X0) & ~pa... | 0 |
Everyone who is not curious is patient or not curious.
Everyone who is both not generous and not curious is calm or creative and vice versa.
If someone is generous then john is not patient.
Everyone who is not strong is both not old and humble.
Everyone who is both creative and kind is either patient or curious and vic... | Paul is not tall. | contradiction | (![X]:(~curious(X)=>(patient(X)|~curious(X))))&
(![X]:((~generous(X)&~curious(X))<=>(calm(X)|creative(X))))&
((?[X]:(generous(X)))=>(~patient(john)))&
(![X]:(~strong(X)=>(~old(X)&humble(X))))&
(![X]:((creative(X)&kind(X))<=>(patient(X)<~>curious(X))))&
((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((calm(X)&curious(X)))))&
(... | ~tall(paul) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8684328494479889640638467
% SZS output start Proof for 8684328494479889640638467
2. ! [X0] : ((~curious(X0) & ~generous(X0)) <=> (creative(X0) | calm(X0))) [input p1]
6. ? [X0] : (curious(X0) | ~tall(X0)) <=> ? [X0] : (curious(X0) & calm(X0)) [input p5]
22. ~tall(paul) [input hypothesis]
... | 0 |
If someone is funny then mary is not quiet.
Everyone who is either happy or patient is either not wise or kind and vice versa.
Everyone who is funny or not curious is not wise.
If someone is both patient and brave then lucy is not brave or not curious and vice versa.
If someone is not old then fred is either wise or ri... | John is curious. | entailment | ((?[X]:(funny(X)))=>(~quiet(mary)))&
(![X]:((happy(X)<~>patient(X))<=>(~wise(X)<~>kind(X))))&
(![X]:((funny(X)|~curious(X))=>~wise(X)))&
((?[X]:((patient(X)&brave(X))))<=>((~brave(lucy)|~curious(lucy))))&
((?[X]:(~old(X)))<=>((wise(fred)<~>rich(fred))))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:((~humble(X)&brave(X))))... | curious(john) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6106945914273905273467506
% SZS output start Proof for 6106945914273905273467506
10. ! [X0] : ((~humble(X0) & quiet(X0)) <=> (~curious(X0) | tall(X0))) [input p9]
15. ! [X0] : ((~creative(X0) | quiet(X0)) => curious(X0)) [input p14]
24. ~curious(john) [input hypothesis]
33. ! [X0] : (curi... | 0 |
Everyone who is either not calm or not wise is either tall or old.
If fred is not old or not happy then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or not humble is both not old and not tall.
If someone is not brave or not str... | Lucy is not wise. | entailment | (![X]:((~calm(X)<~>~wise(X))=>(tall(X)<~>old(X))))&
(((~old(fred)|~happy(fred)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fred))))&
(![X]:((wise(X)<~>strong(X))<=>~calm(X... | ~wise(lucy) | [
"p0",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8991593761604664351445398
% SZS output start Proof for 8991593761604664351445398
1. ! [X0] : ((~calm(X0) <~> ~wise(X0)) => (tall(X0) <~> old(X0))) [input p0]
4. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (cur... | 0 |
Everyone who is both not curious and generous is both rich and not tall and vice versa.
Everyone who is strong or curious is tall or brave and vice versa.
If john is tall then someone is either not patient or creative and vice versa.
If susan is either not kind or quiet then alice is not generous and vice versa.
If ali... | Susan is not kind. | contradiction | (![X]:((~curious(X)&generous(X))<=>(rich(X)&~tall(X))))&
(![X]:((strong(X)|curious(X))<=>(tall(X)|brave(X))))&
((tall(john))<=>(?[X]:((~patient(X)<~>creative(X)))))&
(((~kind(susan)<~>quiet(susan)))<=>(~generous(alice)))&
(((tall(alice)|quiet(alice)))<=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((~funny(X)<~>~strong(X))=... | ~kind(susan) | [
"p3",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5893012742492599230594631
% SZS output start Proof for 5893012742492599230594631
4. (~kind(susan) <~> quiet(susan)) <=> ~generous(alice) [input p3]
15. ? [X0] : (generous(X0) | ~quiet(X0)) <=> ~tall(lucy) [input p14]
22. ~rich(lucy) & tall(lucy) [input p21]
25. ~kind(susan) [input hypothe... | 0 |
Everyone who is not strong or creative is humble or happy and vice versa.
If someone is both not wise and curious then susan is both kind and not strong and vice versa.
If someone is not quiet or brave then alice is either brave or quiet and vice versa.
Everyone who is generous or brave is kind and vice versa.
If someo... | Mary is happy. | neutral | (![X]:((~strong(X)|creative(X))<=>(humble(X)|happy(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((kind(susan)&~strong(susan))))&
((?[X]:((~quiet(X)|brave(X))))<=>((brave(alice)<~>quiet(alice))))&
(![X]:((generous(X)|brave(X))<=>kind(X)))&
((?[X]:((~kind(X)&calm(X))))<=>((~calm(mary)&~happy(mary))))&
(((calm(alice)|quiet(al... | happy(mary) | [] | null | 0 |
If susan is both not old and humble then alice is not curious or quiet and vice versa. If mary is either not strong or not funny then mary is not brave and vice versa. Everyone who is generous or curious is either not calm or not strong and vice versa. Everyone who is both not rich and calm is either not kind or not cu... | Susan is not rich. | contradiction | (((~old(susan)&humble(susan)))<=>((~curious(alice)|quiet(alice))))&
(((~strong(mary)<~>~funny(mary)))<=>(~brave(mary)))&
(![X]:((generous(X)|curious(X))<=>(~calm(X)<~>~strong(X))))&
(![X]:((~rich(X)&calm(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((patient(X)|happy(X))=>(rich(X)<~>generous(X))))&
((~humble(fred))=>(?[X]:(... | ~rich(susan) | [
"p0",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 975870108639830421192828
% SZS output start Proof for 975870108639830421192828
1. (humble(susan) & ~old(susan)) <=> (quiet(alice) | ~curious(alice)) [input p0]
9. ! [X0] : ((~old(X0) | kind(X0)) <=> (~brave(X0) & rich(X0))) [input p8]
14. ! [X0] : (curious(X0) => (~quiet(X0) <~> ~tall(X0)... | 0 |
If someone is either humble or brave then someone is not patient and vice versa. If someone is not generous then someone is either not happy or not humble and vice versa. If lucy is rich then john is both calm and not wise. If someone is not humble or not happy then alice is creative. Everyone who is either tall or not... | Mary is not happy. | entailment | ((?[X]:((humble(X)<~>brave(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
((rich(lucy))=>((calm(john)&~wise(john))))&
((?[X]:((~humble(X)|~happy(X))))=>(creative(alice)))&
(![X]:((tall(X)<~>~humble(X))=>(~happy(X)|~tall(X))))&
(![X]:((~curious(X)&~happy(X))<=>(happy(X)|brave... | ~happy(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5354438442780837637172769
% SZS output start Proof for 5354438442780837637172769
6. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> (brave(X0) | happy(X0))) [input p5]
22. happy(mary) [input hypothesis]
53. ! [X0] : (((~happy(X0) & ~curious(X0)) | (~brave(X0) & ~happy(X0))) & ((brave(X0) | happ... | 0 |
Everyone who is either not old or tall is both humble and not humble and vice versa. If susan is both quiet and brave then someone is either not rich or rich. If someone is calm then mary is both not kind and not rich. Everyone who is either curious or rich is either calm or not calm and vice versa. Everyone who is cal... | Fred is not curious. | entailment | (![X]:((~old(X)<~>tall(X))<=>(humble(X)&~humble(X))))&
(((quiet(susan)&brave(susan)))=>(?[X]:((~rich(X)<~>rich(X)))))&
((?[X]:(calm(X)))=>((~kind(mary)&~rich(mary))))&
(![X]:((curious(X)<~>rich(X))<=>(calm(X)<~>~calm(X))))&
(![X]:(calm(X)=>wise(X)))&
(![X]:((~quiet(X)|funny(X))<=>(~tall(X)&creative(X))))&
((~old(fred))... | ~curious(fred) | [
"p4",
"p6",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7731829176992011123130791
% SZS output start Proof for 7731829176992011123130791
5. ! [X0] : (calm(X0) => wise(X0)) [input p4]
7. ~old(fred) => (~kind(alice) & calm(alice)) [input p6]
11. ! [X0] : (wise(X0) => (~strong(X0) & ~wise(X0))) [input p10]
12. ! [X0] : (~brave(X0) <=> (~old(X0) <... | 0 |
Everyone who is both not funny and not calm is not rich.
Everyone who is not creative or funny is either not brave or funny and vice versa.
If someone is both brave and funny then alice is funny or not humble and vice versa.
Everyone who is not happy or wise is either not calm or not tall and vice versa.
If john is bot... | Lucy is creative. | contradiction | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((~creative(X)|funny(X))<=>(~brave(X)<~>funny(X))))&
((?[X]:((brave(X)&funny(X))))<=>((funny(alice)|~humble(alice))))&
(![X]:((~happy(X)|wise(X))<=>(~calm(X)<~>~tall(X))))&
(((~wise(john)&funny(john)))<=>((~strong(susan)<~>~kind(susan))))&
((?[X]:((generous(X)|~kind(X))))=... | creative(lucy) | [
"p0",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 567973867795732526896269
% SZS output start Proof for 567973867795732526896269
1. ! [X0] : ((~calm(X0) & ~funny(X0)) => ~rich(X0)) [input p0]
9. funny(lucy) => (tall(john) & ~strong(john)) [input p8]
12. ! [X0] : ((strong(X0) | patient(X0)) <=> rich(X0)) [input p11]
13. ! [X0] : ((~strong... | 0 |
If john is both not calm and brave then paul is either old or not quiet.
If someone is both not curious and brave then someone is either quiet or not rich and vice versa.
Everyone who is not kind is either happy or creative.
If someone is either not curious or strong then someone is not funny or not creative.
Everyone ... | John is not creative. | contradiction | (((~calm(john)&brave(john)))=>((old(paul)<~>~quiet(paul))))&
((?[X]:((~curious(X)&brave(X))))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(![X]:(~kind(X)=>(happy(X)<~>creative(X))))&
((?[X]:((~curious(X)<~>strong(X))))=>(?[X]:((~funny(X)|~creative(X)))))&
(![X]:((~old(X)&~brave(X))<=>(~rich(X)|patient(X))))&
(((humble(lucy)<~>~... | ~creative(john) | [
"p2",
"p4",
"p6",
"p8",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7643251458490720042326461
% SZS output start Proof for 7643251458490720042326461
3. ! [X0] : (~kind(X0) => (happy(X0) <~> creative(X0))) [input p2]
5. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (patient(X0) | ~rich(X0))) [input p4]
7. ! [X0] : ((calm(X0) <~> ~rich(X0)) => (~brave(X0) & quiet(X... | 0 |
If someone is either not rich or not happy then someone is not generous and vice versa.
If someone is not humble or happy then someone is not old or not calm and vice versa.
Everyone who is not rich is not kind.
Everyone who is not generous or not calm is both not strong and not rich and vice versa.
Everyone who is eit... | Paul is kind. | contradiction | ((?[X]:((~rich(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:(~rich(X)=>~kind(X)))&
(![X]:((~generous(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(happy(X)&~humble(X))))&
((quiet(paul))<=>(?[X]:((brave(X)|happy(X)))))&
(![... | kind(paul) | [
"p2",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7381832218095333839428382
% SZS output start Proof for 7381832218095333839428382
3. ! [X0] : (~rich(X0) => ~kind(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | funny(X0)) <=> (curious(X0) & tall(X0))) [input p6]
13. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (curious(X0) | strong(X0))) [input ... | 0 |
If someone is both happy and generous then someone is not rich and vice versa.
If paul is not curious then john is both not patient and calm and vice versa.
Everyone who is quiet is both not brave and not funny.
Everyone who is not happy is both generous and brave and vice versa.
If susan is not strong then john is eit... | John is not calm. | contradiction | ((?[X]:((happy(X)&generous(X))))<=>(?[X]:(~rich(X))))&
((~curious(paul))<=>((~patient(john)&calm(john))))&
(![X]:(quiet(X)=>(~brave(X)&~funny(X))))&
(![X]:(~happy(X)<=>(generous(X)&brave(X))))&
((~strong(susan))<=>((~old(john)<~>~funny(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(old(X))))&
((?[X]:((~patient(X)&~bra... | ~calm(john) | [
"p2",
"p3",
"p7",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2511952598976951549262899
% SZS output start Proof for 2511952598976951549262899
3. ! [X0] : (quiet(X0) => (~funny(X0) & ~brave(X0))) [input p2]
4. ! [X0] : (~happy(X0) <=> (brave(X0) & generous(X0))) [input p3]
8. ! [X0] : ((~brave(X0) <~> funny(X0)) <=> (~happy(X0) <~> ~calm(X0))) [inpu... | 0 |
Everyone who is both creative and brave is both humble and wise and vice versa. Everyone who is strong is humble or quiet. If fred is either not generous or not humble then paul is either rich or not tall. Everyone who is both creative and not brave is not generous. If susan is not old then someone is not old and vice ... | Paul is not curious. | neutral | (![X]:((creative(X)&brave(X))<=>(humble(X)&wise(X))))&
(![X]:(strong(X)=>(humble(X)|quiet(X))))&
(((~generous(fred)<~>~humble(fred)))=>((rich(paul)<~>~tall(paul))))&
(![X]:((creative(X)&~brave(X))=>~generous(X)))&
((~old(susan))<=>(?[X]:(~old(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>~humble(X)))&
((?[X]:((~strong(X)<... | ~curious(paul) | [] | null | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either c... | Alice is not calm. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious... | ~calm(alice) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5035977897333743006176780
% SZS output start Proof for 5035977897333743006176780
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
4. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p3]
6. ! [X0] : ((curious(X0)... | 0 |
Everyone who is quiet or generous is not quiet and vice versa.
If someone is not humble then lucy is either old or not creative and vice versa.
If fred is both not kind and not wise then alice is either not curious or not creative.
Everyone who is kind is not kind or humble.
Everyone who is either creative or not quiet... | Paul is not humble. | entailment | (![X]:((quiet(X)|generous(X))<=>~quiet(X)))&
((?[X]:(~humble(X)))<=>((old(lucy)<~>~creative(lucy))))&
(((~kind(fred)&~wise(fred)))=>((~curious(alice)<~>~creative(alice))))&
(![X]:(kind(X)=>(~kind(X)|humble(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(~curious(X)<~>~rich(X))))&
(((patient(fred)&~strong(fred)))=>((~tall(al... | ~humble(paul) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8937763496017093251267407
% SZS output start Proof for 8937763496017093251267407
1. ! [X0] : ((generous(X0) | quiet(X0)) <=> ~quiet(X0)) [input p0]
7. ! [X0] : (humble(X0) => (strong(X0) & quiet(X0))) [input p6]
25. humble(paul) [input hypothesis]
35. ! [X0] : ((strong(X0) & quiet(X0)) | ... | 0 |
Everyone who is either wise or quiet is either not generous or generous and vice versa. If someone is not calm then someone is old or not funny and vice versa. Everyone who is not brave is kind and vice versa. Everyone who is either not happy or strong is both not rich and not calm. Everyone who is tall or strong is bo... | Mary is humble. | entailment | (![X]:((wise(X)<~>quiet(X))<=>(~generous(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((old(X)|~funny(X)))))&
(![X]:(~brave(X)<=>kind(X)))&
(![X]:((~happy(X)<~>strong(X))=>(~rich(X)&~calm(X))))&
(![X]:((tall(X)|strong(X))<=>(~curious(X)&wise(X))))&
((?[X]:((old(X)&~kind(X))))=>(?[X]:(humble(X))))&
(((funny(susan)&pa... | humble(mary) | [
"p0",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7684046183460499038221335
% SZS output start Proof for 7684046183460499038221335
1. ! [X0] : ((wise(X0) <~> quiet(X0)) <=> (~generous(X0) <~> generous(X0))) [input p0]
12. ! [X0] : ((humble(X0) <~> ~wise(X0)) => (~calm(X0) <~> humble(X0))) [input p11]
24. quiet(mary) & calm(mary) [input p... | 0 |
If fred is both generous and wise then alice is either not curious or happy and vice versa. Everyone who is both creative and quiet is quiet or happy and vice versa. If susan is either creative or not rich then lucy is both kind and not brave and vice versa. Everyone who is either not rich or funny is both patient and ... | Susan is curious. | neutral | (((generous(fred)&wise(fred)))<=>((~curious(alice)<~>happy(alice))))&
(![X]:((creative(X)&quiet(X))<=>(quiet(X)|happy(X))))&
(((creative(susan)<~>~rich(susan)))<=>((kind(lucy)&~brave(lucy))))&
(![X]:((~rich(X)<~>funny(X))<=>(patient(X)&~patient(X))))&
(![X]:((~kind(X)|funny(X))<=>(~brave(X)&~patient(X))))&
((?[X]:((~wi... | curious(susan) | [] | null | 0 |
Everyone who is quiet is curious.
If lucy is wise or not patient then john is not generous.
If someone is not humble then someone is funny or not curious and vice versa.
Everyone who is not patient or not quiet is not patient and vice versa.
If john is rich or not generous then someone is either not strong or creative ... | Fred is kind. | entailment | (![X]:(quiet(X)=>curious(X)))&
(((wise(lucy)|~patient(lucy)))=>(~generous(john)))&
((?[X]:(~humble(X)))<=>(?[X]:((funny(X)|~curious(X)))))&
(![X]:((~patient(X)|~quiet(X))<=>~patient(X)))&
(((rich(john)|~generous(john)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((humble(X)|old(X))=>(generous(X)<~>~old(X))))&
(![X]:... | kind(fred) | [
"p3",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4001678466210471061222240
% SZS output start Proof for 4001678466210471061222240
4. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : ((funny(X0) | ~wise(X0)) <=> ~quiet(X0)) [input p8]
11. ! [X0] : ((~kind(X0) | ~funny(X0)) => ~wise(X0)) [input p10]
12. (old(... | 0 |
Everyone who is both not rich and not generous is not happy and vice versa. If john is either calm or humble then fred is not wise or not rich and vice versa. If someone is either not curious or not generous then someone is either creative or not patient. Everyone who is either not quiet or quiet is rich or brave and v... | Mary is patient. | contradiction | (![X]:((~rich(X)&~generous(X))<=>~happy(X)))&
(((calm(john)<~>humble(john)))<=>((~wise(fred)|~rich(fred))))&
((?[X]:((~curious(X)<~>~generous(X))))=>(?[X]:((creative(X)<~>~patient(X)))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(rich(X)|brave(X))))&
(((calm(mary)|~rich(mary)))<=>(~quiet(mary)))&
((?[X]:((~brave(X)<~>calm(X))))... | patient(mary) | [
"p5",
"p7",
"p9",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 256945514804060726391255
% SZS output start Proof for 256945514804060726391255
6. ? [X0] : (~brave(X0) <~> calm(X0)) <=> (~humble(mary) & rich(mary)) [input p5]
8. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (calm(X0) | ~patient(X0))) [input p7]
10. ~curious(mary) <=> (kind(mary) & ~kind(m... | 0 |
Everyone who is brave or not strong is creative or not creative and vice versa. Everyone who is both not quiet and generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If so... | Alice is not funny. | entailment | (![X]:((brave(X)|~strong(X))<=>(creative(X)|~creative(X))))&
(![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~s... | ~funny(alice) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2625558756655868720537
% SZS output start Proof for 2625558756655868720537
13. ! [X0] : (funny(X0) <=> (~kind(X0) & ~strong(X0))) [input p12]
15. ! [X0] : ((~strong(X0) | kind(X0)) => (~humble(X0) & ~funny(X0))) [input p14]
22. funny(alice) [input hypothesis]
32. ! [X0] : ((~humble(X0) & ... | 0 |
If fred is funny or creative then mary is happy.
If someone is tall then john is patient or not rich.
Everyone who is either curious or not creative is both not rich and brave and vice versa.
Everyone who is not creative or tall is both not strong and creative.
If mary is creative or not strong then someone is either n... | Lucy is not humble. | entailment | (((funny(fred)|creative(fred)))=>(happy(mary)))&
((?[X]:(tall(X)))=>((patient(john)|~rich(john))))&
(![X]:((curious(X)<~>~creative(X))<=>(~rich(X)&brave(X))))&
(![X]:((~creative(X)|tall(X))=>(~strong(X)&creative(X))))&
(((creative(mary)|~strong(mary)))<=>(?[X]:((~patient(X)<~>~calm(X)))))&
((?[X]:((creative(X)&~curious... | ~humble(lucy) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7230912223398051335917637
% SZS output start Proof for 7230912223398051335917637
4. ! [X0] : ((tall(X0) | ~creative(X0)) => (creative(X0) & ~strong(X0))) [input p3]
12. (~generous(lucy) | humble(lucy)) => (~old(fred) & ~creative(fred)) [input p11]
25. humble(lucy) [input hypothesis]
31. !... | 0 |
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