premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not humble or brave is funny or quiet. Everyone who is either not creative or wise is both curious and not kind and vice versa. If someone is tall or curious then john is generous or not calm. Everyone who is either brave or not calm is either curious or strong. Everyone who is happy or tall is e... | John is calm. | entailment | (![X]:((~humble(X)<~>brave(X))=>(funny(X)|quiet(X))))&
(![X]:((~creative(X)<~>wise(X))<=>(curious(X)&~kind(X))))&
((?[X]:((tall(X)|curious(X))))=>((generous(john)|~calm(john))))&
(![X]:((brave(X)<~>~calm(X))=>(curious(X)<~>strong(X))))&
(![X]:((happy(X)|tall(X))<=>(creative(X)<~>~brave(X))))&
(((rich(susan)|curious(sus... | calm(john) | [
"p3",
"p7",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 282099031956251131801762
% SZS output start Proof for 282099031956251131801762
4. ! [X0] : ((brave(X0) <~> ~calm(X0)) => (curious(X0) <~> strong(X0))) [input p3]
8. ! [X0] : ((~curious(X0) <~> ~patient(X0)) <=> (~creative(X0) & ~tall(X0))) [input p7]
9. ! [X0] : (~calm(X0) => (tall(X0) & ... | 0 |
Everyone who is either tall or not funny is both not patient and not funny and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
If someone is not kind or calm then mary is not wise or not funny and vice versa.
Everyone who is either not curious or wise is both not kind and not tall.
Ev... | Mary is not calm. | contradiction | (![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
((?[X]:((~kind(X)|calm(X))))<=>((~wise(mary)|~funny(mary))))&
(![X]:((~curious(X)<~>wise(X))=>(~kind(X)&~tall(X))))&
(![X]:((~rich(X)&happy(X))<=>(~rich(X)<~>~brave(X))))&
(![X]:((patient(X)<~>~funny(X))<=>~... | ~calm(mary) | [
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5157952639727529884901833
% SZS output start Proof for 5157952639727529884901833
7. ! [X0] : (~calm(X0) => (~happy(X0) & creative(X0))) [input p6]
9. ! [X0] : ((~creative(X0) & quiet(X0)) <=> (funny(X0) | ~kind(X0))) [input p8]
10. ? [X0] : (funny(X0) <~> creative(X0)) <=> ? [X0] : (patie... | 0 |
If susan is either not creative or calm then mary is both brave and not quiet and vice versa.
If mary is either not kind or generous then someone is happy.
If someone is both tall and funny then john is either not tall or not wise and vice versa.
If someone is not strong or creative then mary is not old and vice versa.... | Mary is not brave. | entailment | (((~creative(susan)<~>calm(susan)))<=>((brave(mary)&~quiet(mary))))&
(((~kind(mary)<~>generous(mary)))=>(?[X]:(happy(X))))&
((?[X]:((tall(X)&funny(X))))<=>((~tall(john)<~>~wise(john))))&
((?[X]:((~strong(X)|creative(X))))<=>(~old(mary)))&
(((~brave(fred)&~kind(fred)))=>((generous(john)|brave(john))))&
(![X]:((~humble(X... | ~brave(mary) | [
"p3",
"p5",
"p10",
"p13",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7107744493663969195714937
% SZS output start Proof for 7107744493663969195714937
4. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~old(mary) [input p3]
6. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (humble(X0) & wise(X0))) [input p5]
11. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> old(X0)) [input p10]... | 0 |
Everyone who is not patient is strong and vice versa.
Everyone who is not strong or strong is both not patient and not wise.
Everyone who is old or not tall is not rich or patient and vice versa.
Everyone who is either rich or not rich is not humble or patient.
If mary is not funny or brave then john is both not kind a... | Paul is strong. | entailment | (![X]:(~patient(X)<=>strong(X)))&
(![X]:((~strong(X)|strong(X))=>(~patient(X)&~wise(X))))&
(![X]:((old(X)|~tall(X))<=>(~rich(X)|patient(X))))&
(![X]:((rich(X)<~>~rich(X))=>(~humble(X)|patient(X))))&
(((~funny(mary)|brave(mary)))=>((~kind(john)&happy(john))))&
((kind(lucy))=>(?[X]:((~calm(X)|~old(X)))))&
(((~wise(susan)... | strong(paul) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6608522263061689136690675
% SZS output start Proof for 6608522263061689136690675
1. ! [X0] : (~patient(X0) <=> strong(X0)) [input p0]
2. ! [X0] : ((strong(X0) | ~strong(X0)) => (~wise(X0) & ~patient(X0))) [input p1]
23. ~strong(paul) [input hypothesis]
25. ! [X0] : ((~wise(X0) & ~patient(... | 0 |
If paul is either calm or quiet then lucy is both not happy and rich and vice versa.
If john is quiet or not tall then mary is either not wise or creative and vice versa.
Everyone who is both quiet and rich is generous or funny and vice versa.
If mary is both wise and rich then someone is both not quiet and brave and v... | Paul is not brave. | entailment | (((calm(paul)<~>quiet(paul)))<=>((~happy(lucy)&rich(lucy))))&
(((quiet(john)|~tall(john)))<=>((~wise(mary)<~>creative(mary))))&
(![X]:((quiet(X)&rich(X))<=>(generous(X)|funny(X))))&
(((wise(mary)&rich(mary)))<=>(?[X]:((~quiet(X)&brave(X)))))&
(![X]:((curious(X)|funny(X))=>~rich(X)))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[... | ~brave(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 217642772248314458564652
% SZS output start Proof for 217642772248314458564652
13. ! [X0] : ((~funny(X0) & ~brave(X0)) <=> (~curious(X0) | curious(X0))) [input p12]
23. brave(paul) [input hypothesis]
62. ! [X0] : (((~funny(X0) & ~brave(X0)) | (curious(X0) & ~curious(X0))) & ((~curious(X0)... | 0 |
Everyone who is both quiet and patient is kind. Everyone who is humble is either not old or not kind. If someone is both not curious and strong then fred is tall or not humble and vice versa. Everyone who is either brave or not wise is either not funny or wise and vice versa. If someone is not calm or not generous then... | Lucy is humble. | neutral | (![X]:((quiet(X)&patient(X))=>kind(X)))&
(![X]:(humble(X)=>(~old(X)<~>~kind(X))))&
((?[X]:((~curious(X)&strong(X))))<=>((tall(fred)|~humble(fred))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)<~>wise(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(funny(mary)))&
((?[X]:(wise(X)))<=>((generous(alice)<~>~old(alice))))&
((~wis... | humble(lucy) | [] | null | 0 |
If fred is humble or not kind then lucy is happy and vice versa. Everyone who is not strong is either not quiet or happy. Everyone who is both not curious and brave is not creative or not curious. If fred is both strong and not kind then mary is not quiet or not funny. Everyone who is either curious or not patient is c... | Susan is not patient. | neutral | (((humble(fred)|~kind(fred)))<=>(happy(lucy)))&
(![X]:(~strong(X)=>(~quiet(X)<~>happy(X))))&
(![X]:((~curious(X)&brave(X))=>(~creative(X)|~curious(X))))&
(((strong(fred)&~kind(fred)))=>((~quiet(mary)|~funny(mary))))&
(![X]:((curious(X)<~>~patient(X))<=>(curious(X)|~wise(X))))&
((quiet(fred))<=>((~happy(susan)<~>~tall(s... | ~patient(susan) | [] | null | 0 |
If susan is both brave and strong then lucy is either rich or not patient and vice versa.
Everyone who is either curious or old is either not patient or old.
If someone is either quiet or not generous then someone is either creative or happy.
If john is kind or creative then someone is both not kind and curious.
Everyo... | Lucy is patient. | neutral | (((brave(susan)&strong(susan)))<=>((rich(lucy)<~>~patient(lucy))))&
(![X]:((curious(X)<~>old(X))=>(~patient(X)<~>old(X))))&
((?[X]:((quiet(X)<~>~generous(X))))=>(?[X]:((creative(X)<~>happy(X)))))&
(((kind(john)|creative(john)))=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((~funny(X)<~>curious(X))=>(quiet(X)&rich(X))))&
((?... | patient(lucy) | [] | null | 0 |
If fred is not wise then alice is not happy or quiet and vice versa.
Everyone who is both not curious and rich is calm or not old.
Everyone who is not generous is both not strong and quiet.
Everyone who is both not strong and not happy is not humble and vice versa.
Everyone who is either not strong or tall is rich or n... | Fred is not generous. | neutral | ((~wise(fred))<=>((~happy(alice)|quiet(alice))))&
(![X]:((~curious(X)&rich(X))=>(calm(X)|~old(X))))&
(![X]:(~generous(X)=>(~strong(X)&quiet(X))))&
(![X]:((~strong(X)&~happy(X))<=>~humble(X)))&
(![X]:((~strong(X)<~>tall(X))<=>(rich(X)|~happy(X))))&
(![X]:((calm(X)&~quiet(X))=>(calm(X)<~>patient(X))))&
((?[X]:((brave(X)|... | ~generous(fred) | [] | null | 0 |
If someone is not tall then someone is either not generous or not brave and vice versa.
If alice is funny then fred is either not generous or not happy.
If alice is brave then john is not rich or not funny.
If someone is not funny then john is not creative.
Everyone who is calm is not patient or not creative.
Everyone ... | Susan is not humble. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((~generous(X)<~>~brave(X)))))&
((funny(alice))=>((~generous(fred)<~>~happy(fred))))&
((brave(alice))=>((~rich(john)|~funny(john))))&
((?[X]:(~funny(X)))=>(~creative(john)))&
(![X]:(calm(X)=>(~patient(X)|~creative(X))))&
(![X]:((~happy(X)&~old(X))<=>(quiet(X)<~>~wise(X))))&
(![X]:((quiet(X)<~... | ~humble(susan) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1017114793994721989150116
% SZS output start Proof for 1017114793994721989150116
7. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (~humble(X0) <~> ~kind(X0))) [input p6]
11. ! [X0] : (humble(X0) => kind(X0)) [input p10]
25. humble(susan) [input hypothesis]
36. ! [X0] : ((~humble(X0) <~> ~kind(X... | 0 |
If lucy is both kind and not kind then someone is both funny and quiet.
If fred is not kind then paul is not creative or curious.
Everyone who is both not wise and quiet is either not happy or not brave and vice versa.
If someone is not brave or old then someone is both patient and humble and vice versa.
Everyone who i... | Mary is creative. | contradiction | (((kind(lucy)&~kind(lucy)))=>(?[X]:((funny(X)&quiet(X)))))&
((~kind(fred))=>((~creative(paul)|curious(paul))))&
(![X]:((~wise(X)&quiet(X))<=>(~happy(X)<~>~brave(X))))&
((?[X]:((~brave(X)|old(X))))<=>(?[X]:((patient(X)&humble(X)))))&
(![X]:((kind(X)<~>brave(X))<=>(patient(X)|kind(X))))&
(![X]:((curious(X)|~curious(X))=>... | creative(mary) | [
"p4",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1344418184314215571899055
% SZS output start Proof for 1344418184314215571899055
5. ! [X0] : ((kind(X0) <~> brave(X0)) <=> (kind(X0) | patient(X0))) [input p4]
15. ! [X0] : (~creative(X0) <=> (~funny(X0) | ~kind(X0))) [input p14]
18. brave(mary) & quiet(mary) [input p17]
25. creative(mary... | 0 |
Everyone who is either not old or funny is either rich or calm and vice versa.
Everyone who is both not strong and happy is not patient.
If someone is both not funny and happy then someone is both not strong and not creative.
If paul is both not humble and not strong then someone is both not kind and tall and vice vers... | Alice is not humble. | contradiction | (![X]:((~old(X)<~>funny(X))<=>(rich(X)<~>calm(X))))&
(![X]:((~strong(X)&happy(X))=>~patient(X)))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:((~strong(X)&~creative(X)))))&
(((~humble(paul)&~strong(paul)))<=>(?[X]:((~kind(X)&tall(X)))))&
(![X]:((happy(X)|~strong(X))=>~brave(X)))&
((?[X]:((~strong(X)|humble(X))))<=>(?[X]:(~ha... | ~humble(alice) | [
"p4",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1327706319397391490560703
% SZS output start Proof for 1327706319397391490560703
5. ! [X0] : ((~strong(X0) | happy(X0)) => ~brave(X0)) [input p4]
8. ! [X0] : ((old(X0) & tall(X0)) <=> (~quiet(X0) | ~brave(X0))) [input p7]
10. (humble(alice) & ~quiet(alice)) <=> ? [X0] : strong(X0) [input ... | 0 |
If paul is both not curious and not rich then susan is either generous or not strong.
If paul is tall or happy then someone is either not creative or humble and vice versa.
Everyone who is not happy is tall and vice versa.
If someone is both brave and wise then alice is rich or not happy and vice versa.
Everyone who is... | Paul is not strong. | entailment | (((~curious(paul)&~rich(paul)))=>((generous(susan)<~>~strong(susan))))&
(((tall(paul)|happy(paul)))<=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:(~happy(X)<=>tall(X)))&
((?[X]:((brave(X)&wise(X))))<=>((rich(alice)|~happy(alice))))&
(![X]:((~wise(X)&~tall(X))=>(creative(X)&happy(X))))&
((?[X]:(~tall(X)))<=>((rich(lucy)... | ~strong(paul) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1684672139346915837939499
% SZS output start Proof for 1684672139346915837939499
7. ! [X0] : ((calm(X0) & ~tall(X0)) <=> strong(X0)) [input p6]
10. ! [X0] : ((tall(X0) | ~calm(X0)) <=> (~kind(X0) | calm(X0))) [input p9]
25. strong(paul) [input hypothesis]
55. ! [X0] : (((calm(X0) & ~tall(... | 0 |
If someone is not tall then susan is humble or not rich. If someone is happy then mary is not funny. If john is either rich or calm then someone is tall or not tall and vice versa. If someone is either not kind or not calm then someone is both not tall and creative and vice versa. If someone is not brave then alice is ... | Alice is generous. | entailment | ((?[X]:(~tall(X)))=>((humble(susan)|~rich(susan))))&
((?[X]:(happy(X)))=>(~funny(mary)))&
(((rich(john)<~>calm(john)))<=>(?[X]:((tall(X)|~tall(X)))))&
((?[X]:((~kind(X)<~>~calm(X))))<=>(?[X]:((~tall(X)&creative(X)))))&
((?[X]:(~brave(X)))<=>((~rich(alice)&happy(alice))))&
(![X]:((~tall(X)<~>brave(X))<=>(rich(X)&tall(X)... | generous(alice) | [
"p4",
"p5",
"p6",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 759485822961521582783242
% SZS output start Proof for 759485822961521582783242
5. ? [X0] : ~brave(X0) <=> (happy(alice) & ~rich(alice)) [input p4]
6. ! [X0] : ((~tall(X0) <~> brave(X0)) <=> (tall(X0) & rich(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> (generous(X0) <~> ha... | 0 |
If mary is patient then mary is both not creative and not kind and vice versa.
Everyone who is humble is both creative and not old.
If someone is either happy or creative then someone is either not happy or not strong and vice versa.
If alice is brave or not kind then someone is not patient and vice versa.
Everyone who... | Mary is humble. | neutral | ((patient(mary))<=>((~creative(mary)&~kind(mary))))&
(![X]:(humble(X)=>(creative(X)&~old(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:((~happy(X)<~>~strong(X)))))&
(((brave(alice)|~kind(alice)))<=>(?[X]:(~patient(X))))&
(![X]:((~curious(X)|strong(X))=>(curious(X)|funny(X))))&
(![X]:((~wise(X)|~tall(X))=>(generous(... | humble(mary) | [] | null | 0 |
If susan is not funny or quiet then someone is both quiet and kind. Everyone who is quiet is both humble and curious. If john is not creative then someone is both kind and wise and vice versa. Everyone who is both kind and creative is wise or not quiet and vice versa. Everyone who is both generous and funny is not old.... | Paul is generous. | entailment | (((~funny(susan)|quiet(susan)))=>(?[X]:((quiet(X)&kind(X)))))&
(![X]:(quiet(X)=>(humble(X)&curious(X))))&
((~creative(john))<=>(?[X]:((kind(X)&wise(X)))))&
(![X]:((kind(X)&creative(X))<=>(wise(X)|~quiet(X))))&
(![X]:((generous(X)&funny(X))=>~old(X)))&
(![X]:((strong(X)&~rich(X))<=>(~generous(X)|~kind(X))))&
((?[X]:(~ca... | generous(paul) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9067220369949462247642415
% SZS output start Proof for 9067220369949462247642415
2. ! [X0] : (quiet(X0) => (curious(X0) & humble(X0))) [input p1]
3. ~creative(john) <=> ? [X0] : (wise(X0) & kind(X0)) [input p2]
4. ! [X0] : ((creative(X0) & kind(X0)) <=> (~quiet(X0) | wise(X0))) [input p3]... | 0 |
If alice is old then someone is generous or tall. Everyone who is patient or not quiet is both wise and kind. Everyone who is creative or patient is both not generous and generous. If someone is either creative or quiet then susan is both not happy and curious and vice versa. Everyone who is both generous and not calm ... | Susan is funny. | neutral | ((old(alice))=>(?[X]:((generous(X)|tall(X)))))&
(![X]:((patient(X)|~quiet(X))=>(wise(X)&kind(X))))&
(![X]:((creative(X)|patient(X))=>(~generous(X)&generous(X))))&
((?[X]:((creative(X)<~>quiet(X))))<=>((~happy(susan)&curious(susan))))&
(![X]:((generous(X)&~calm(X))<=>~happy(X)))&
((?[X]:((~curious(X)&strong(X))))<=>((~q... | funny(susan) | [] | null | 0 |
If someone is not old or not generous then someone is not creative or kind and vice versa.
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not crea... | John is old. | contradiction | ((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((~creative(X)|kind(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~ri... | old(john) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6892691369264157676295262
% SZS output start Proof for 6892691369264157676295262
3. ! [X0] : ((kind(X0) | humble(X0)) <=> (tall(X0) & calm(X0))) [input p2]
10. ! [X0] : ((~calm(X0) | old(X0)) => (humble(X0) & ~calm(X0))) [input p9]
23. old(john) [input hypothesis]
28. ! [X0] : ((humble(X0... | 0 |
If alice is tall then mary is rich or happy and vice versa.
Everyone who is not funny is both happy and quiet.
If someone is both happy and not happy then alice is not brave.
Everyone who is both curious and not brave is both not creative and not calm and vice versa.
If mary is not quiet or not tall then fred is both g... | Lucy is not rich. | neutral | ((tall(alice))<=>((rich(mary)|happy(mary))))&
(![X]:(~funny(X)=>(happy(X)&quiet(X))))&
((?[X]:((happy(X)&~happy(X))))=>(~brave(alice)))&
(![X]:((curious(X)&~brave(X))<=>(~creative(X)&~calm(X))))&
(((~quiet(mary)|~tall(mary)))<=>((generous(fred)&humble(fred))))&
(![X]:((~humble(X)|calm(X))<=>(rich(X)|~curious(X))))&
(((... | ~rich(lucy) | [] | null | 0 |
Everyone who is not brave is old.
If someone is either not funny or not curious then fred is either not kind or happy and vice versa.
If susan is both patient and creative then someone is tall or not generous and vice versa.
If fred is not creative or not happy then someone is either not quiet or not rich.
If mary is p... | Susan is not creative. | contradiction | (![X]:(~brave(X)=>old(X)))&
((?[X]:((~funny(X)<~>~curious(X))))<=>((~kind(fred)<~>happy(fred))))&
(((patient(susan)&creative(susan)))<=>(?[X]:((tall(X)|~generous(X)))))&
(((~creative(fred)|~happy(fred)))=>(?[X]:((~quiet(X)<~>~rich(X)))))&
(((patient(mary)|~kind(mary)))=>((~rich(susan)<~>~quiet(susan))))&
(![X]:((~tall(... | ~creative(susan) | [
"p2",
"p6",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2154519399408111278457939
% SZS output start Proof for 2154519399408111278457939
3. (creative(susan) & patient(susan)) <=> ? [X0] : (~generous(X0) | tall(X0)) [input p2]
7. ? [X0] : strong(X0) => (humble(fred) & old(fred)) [input p6]
8. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> ~strong(X0))... | 0 |
If someone is both old and not funny then someone is either not old or humble. Everyone who is not old is either not quiet or curious. Everyone who is either wise or not generous is not brave and vice versa. Everyone who is generous is wise or brave. If someone is either not calm or calm then someone is curious. If som... | Paul is not curious. | neutral | ((?[X]:((old(X)&~funny(X))))=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:(~old(X)=>(~quiet(X)<~>curious(X))))&
(![X]:((wise(X)<~>~generous(X))<=>~brave(X)))&
(![X]:(generous(X)=>(wise(X)|brave(X))))&
((?[X]:((~calm(X)<~>calm(X))))=>(?[X]:(curious(X))))&
((?[X]:(~generous(X)))=>(?[X]:((kind(X)&old(X)))))&
((?[X]:((strong(X)... | ~curious(paul) | [] | null | 0 |
If susan is both not curious and humble then someone is funny and vice versa.
Everyone who is either funny or patient is patient.
Everyone who is either not calm or not generous is both quiet and not curious.
Everyone who is either not tall or patient is not strong or patient and vice versa.
If john is both creative an... | John is not patient. | contradiction | (((~curious(susan)&humble(susan)))<=>(?[X]:(funny(X))))&
(![X]:((funny(X)<~>patient(X))=>patient(X)))&
(![X]:((~calm(X)<~>~generous(X))=>(quiet(X)&~curious(X))))&
(![X]:((~tall(X)<~>patient(X))<=>(~strong(X)|patient(X))))&
(((creative(john)&strong(john)))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>calm(X)... | ~patient(john) | [
"p1",
"p3",
"p8",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7119178054831995606232021
% SZS output start Proof for 7119178054831995606232021
2. ! [X0] : ((funny(X0) <~> patient(X0)) => patient(X0)) [input p1]
4. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> (patient(X0) | ~strong(X0))) [input p3]
9. ! [X0] : ((tall(X0) & strong(X0)) <=> ~happy(X0)) [i... | 0 |
Everyone who is brave or not funny is not tall and vice versa.
If someone is both wise and rich then someone is either not tall or not quiet and vice versa.
Everyone who is kind or not kind is both not funny and not humble and vice versa.
Everyone who is both not rich and not generous is strong.
Everyone who is both ol... | John is not tall. | entailment | (![X]:((brave(X)|~funny(X))<=>~tall(X)))&
((?[X]:((wise(X)&rich(X))))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((kind(X)|~kind(X))<=>(~funny(X)&~humble(X))))&
(![X]:((~rich(X)&~generous(X))=>strong(X)))&
(![X]:((old(X)&~wise(X))=>(calm(X)<~>brave(X))))&
(![X]:((quiet(X)<~>humble(X))=>(~quiet(X)|patient(X))))&
((?[X]:(... | ~tall(john) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8520185557735211225657459
% SZS output start Proof for 8520185557735211225657459
1. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~tall(X0)) [input p0]
3. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~humble(X0) & ~funny(X0))) [input p2]
24. tall(john) [input hypothesis]
42. ! [X0] : (((~funny(X0) | br... | 0 |
Everyone who is not calm or not tall is tall and vice versa.
Everyone who is kind is either kind or happy and vice versa.
If someone is both kind and calm then someone is calm or quiet and vice versa.
Everyone who is not old is both old and funny and vice versa.
Everyone who is creative is both rich and not quiet and v... | Mary is not patient. | neutral | (![X]:((~calm(X)|~tall(X))<=>tall(X)))&
(![X]:(kind(X)<=>(kind(X)<~>happy(X))))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:(~old(X)<=>(old(X)&funny(X))))&
(![X]:(creative(X)<=>(rich(X)&~quiet(X))))&
((~rich(alice))=>(?[X]:(~creative(X))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:((~patient(X)<~>... | ~patient(mary) | [] | null | 0 |
If someone is not curious or not rich then alice is both wise and not quiet. If someone is either creative or quiet then someone is both kind and not creative. If someone is not curious then john is old or calm and vice versa. If someone is tall then john is kind and vice versa. If susan is not brave then lucy is both ... | Mary is not patient. | neutral | ((?[X]:((~curious(X)|~rich(X))))=>((wise(alice)&~quiet(alice))))&
((?[X]:((creative(X)<~>quiet(X))))=>(?[X]:((kind(X)&~creative(X)))))&
((?[X]:(~curious(X)))<=>((old(john)|calm(john))))&
((?[X]:(tall(X)))<=>(kind(john)))&
((~brave(susan))<=>((patient(lucy)&~quiet(lucy))))&
(![X]:((~creative(X)&curious(X))=>(wise(X)|~br... | ~patient(mary) | [] | null | 0 |
Everyone who is not strong is both creative and brave and vice versa. Everyone who is patient is not calm or not funny. If paul is both quiet and generous then lucy is strong and vice versa. If someone is not generous then someone is not creative or not patient. Everyone who is not funny or not humble is either happy o... | Alice is not kind. | neutral | (![X]:(~strong(X)<=>(creative(X)&brave(X))))&
(![X]:(patient(X)=>(~calm(X)|~funny(X))))&
(((quiet(paul)&generous(paul)))<=>(strong(lucy)))&
((?[X]:(~generous(X)))=>(?[X]:((~creative(X)|~patient(X)))))&
(![X]:((~funny(X)|~humble(X))<=>(happy(X)<~>curious(X))))&
(![X]:((calm(X)<~>happy(X))=>(~humble(X)|~brave(X))))&
(((~... | ~kind(alice) | [] | null | 0 |
If someone is both tall and not happy then someone is not old.
Everyone who is strong is not rich.
If someone is either not patient or not creative then someone is generous and vice versa.
Everyone who is both not kind and curious is either not quiet or happy and vice versa.
Everyone who is not brave or funny is brave ... | Susan is not generous. | neutral | ((?[X]:((tall(X)&~happy(X))))=>(?[X]:(~old(X))))&
(![X]:(strong(X)=>~rich(X)))&
((?[X]:((~patient(X)<~>~creative(X))))<=>(?[X]:(generous(X))))&
(![X]:((~kind(X)&curious(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((~brave(X)|funny(X))<=>brave(X)))&
(![X]:((brave(X)|generous(X))<=>~happy(X)))&
((?[X]:((~patient(X)<~>creative(... | ~generous(susan) | [] | null | 0 |
Everyone who is calm is both not strong and not creative and vice versa.
If alice is not wise then susan is brave or not old and vice versa.
Everyone who is both not strong and not rich is either not tall or funny and vice versa.
If susan is not calm then alice is either not calm or not funny and vice versa.
Everyone w... | Mary is not calm. | entailment | (![X]:(calm(X)<=>(~strong(X)&~creative(X))))&
((~wise(alice))<=>((brave(susan)|~old(susan))))&
(![X]:((~strong(X)&~rich(X))<=>(~tall(X)<~>funny(X))))&
((~calm(susan))<=>((~calm(alice)<~>~funny(alice))))&
(![X]:((tall(X)|brave(X))<=>~wise(X)))&
((?[X]:(~calm(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(alice)<~>~brave(a... | ~calm(mary) | [
"p0",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 369365139271781144693559
% SZS output start Proof for 369365139271781144693559
1. ! [X0] : (calm(X0) <=> (~creative(X0) & ~strong(X0))) [input p0]
9. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p8]
15. ! [X0] : (old(X0) <=> (~funny(X0) & creative(X0))) [input p14]
17. calm(mar... | 0 |
If mary is not rich then someone is either strong or not funny and vice versa.
Everyone who is not brave or curious is either humble or happy and vice versa.
Everyone who is both not calm and old is patient.
If someone is not brave or not kind then susan is old or not patient and vice versa.
If john is both calm and no... | Susan is old. | contradiction | ((~rich(mary))<=>(?[X]:((strong(X)<~>~funny(X)))))&
(![X]:((~brave(X)|curious(X))<=>(humble(X)<~>happy(X))))&
(![X]:((~calm(X)&old(X))=>patient(X)))&
((?[X]:((~brave(X)|~kind(X))))<=>((old(susan)|~patient(susan))))&
(((calm(john)&~strong(john)))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:((~wise(X)&kind(X))=>(curious(X)|~old... | old(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 675121030330176000425383
% SZS output start Proof for 675121030330176000425383
15. ! [X0] : ((happy(X0) | old(X0)) => ~old(X0)) [input p14]
25. old(susan) [input hypothesis]
43. ! [X0] : (~old(X0) | (~happy(X0) & ~old(X0))) [ennf transformation 15]
128. ~old(X0) | ~old(X0) [cnf transforma... | 0 |
Everyone who is not brave or quiet is both generous and not generous. If someone is both funny and not wise then someone is either humble or not old. Everyone who is both brave and not kind is not calm. Everyone who is tall is both brave and calm. If someone is not funny then susan is both not curious and not creative.... | John is strong. | entailment | (![X]:((~brave(X)|quiet(X))=>(generous(X)&~generous(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:((humble(X)<~>~old(X)))))&
(![X]:((brave(X)&~kind(X))=>~calm(X)))&
(![X]:(tall(X)=>(brave(X)&calm(X))))&
((?[X]:(~funny(X)))=>((~curious(susan)&~creative(susan))))&
((?[X]:((~curious(X)<~>generous(X))))=>(?[X]:((~calm(X)|hum... | strong(john) | [
"p0",
"p7",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8826881666454020286954468
% SZS output start Proof for 8826881666454020286954468
1. ! [X0] : ((quiet(X0) | ~brave(X0)) => (~generous(X0) & generous(X0))) [input p0]
8. ! [X0] : ((~creative(X0) | brave(X0)) => (humble(X0) | rich(X0))) [input p7]
9. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> ... | 0 |
If someone is not wise then someone is both not kind and not wise.
If susan is either not old or strong then alice is not generous.
If someone is creative or not creative then someone is not old or creative and vice versa.
If lucy is not happy then fred is either kind or curious and vice versa.
Everyone who is either n... | Lucy is calm. | contradiction | ((?[X]:(~wise(X)))=>(?[X]:((~kind(X)&~wise(X)))))&
(((~old(susan)<~>strong(susan)))=>(~generous(alice)))&
((?[X]:((creative(X)|~creative(X))))<=>(?[X]:((~old(X)|creative(X)))))&
((~happy(lucy))<=>((kind(fred)<~>curious(fred))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|~brave(X))))&
((?[X]:((~rich(X)|wise(X))))=>((gen... | calm(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 844073561865132934719739
% SZS output start Proof for 844073561865132934719739
15. ! [X0] : (calm(X0) => (kind(X0) & ~calm(X0))) [input p14]
24. calm(lucy) [input hypothesis]
35. ! [X0] : ((kind(X0) & ~calm(X0)) | ~calm(X0)) [ennf transformation 15]
124. ~calm(X0) | ~calm(X0) [cnf transfo... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is either not strong or strong is either not brave or not rich.
Everyone who is tall is either strong or not generous.
Everyone who is either not brave or wise is not old or not brave and vice versa.
Everyone wh... | Susan is not humble. | neutral | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~brave(X)<~>~rich(X))))&
(![X]:(tall(X)=>(strong(X)<~>~generous(X))))&
(![X]:((~brave(X)<~>wise(X))<=>(~old(X)|~brave(X))))&
(![X]:((~happy(X)&funny(X))=>(~humble(X)<~>patient(X))))&
((old(alice))=>(?[X]:(~kind(X))))&
(![X]:((... | ~humble(susan) | [] | null | 0 |
Everyone who is not kind is not calm or not kind.
If someone is not tall or wise then someone is either not curious or tall.
Everyone who is not generous is both brave and creative.
If someone is curious or calm then someone is both happy and rich and vice versa.
Everyone who is not generous or not brave is either wise... | Fred is funny. | neutral | (![X]:(~kind(X)=>(~calm(X)|~kind(X))))&
((?[X]:((~tall(X)|wise(X))))=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:(~generous(X)=>(brave(X)&creative(X))))&
((?[X]:((curious(X)|calm(X))))<=>(?[X]:((happy(X)&rich(X)))))&
(![X]:((~generous(X)|~brave(X))=>(wise(X)<~>quiet(X))))&
(![X]:(~wise(X)<=>(~humble(X)|~wise(X))))&
((?[X... | funny(fred) | [] | null | 0 |
Everyone who is both not wise and calm is both wise and not curious and vice versa. If someone is both not calm and happy then mary is either generous or not generous. Everyone who is not creative is either patient or not strong and vice versa. If someone is not brave then susan is either not tall or not quiet. Everyon... | John is not calm. | entailment | (![X]:((~wise(X)&calm(X))<=>(wise(X)&~curious(X))))&
((?[X]:((~calm(X)&happy(X))))=>((generous(mary)<~>~generous(mary))))&
(![X]:(~creative(X)<=>(patient(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~tall(susan)<~>~quiet(susan))))&
(![X]:((~brave(X)|~patient(X))=>~generous(X)))&
(![X]:(~brave(X)=>(funny(X)|~wise(X))))&
(... | ~calm(john) | [
"p0",
"p5",
"p6",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4826279338408256085858217
% SZS output start Proof for 4826279338408256085858217
1. ! [X0] : ((calm(X0) & ~wise(X0)) <=> (~curious(X0) & wise(X0))) [input p0]
6. ! [X0] : (~brave(X0) => (~wise(X0) | funny(X0))) [input p5]
7. ~funny(john) <=> ? [X0] : (~brave(X0) | curious(X0)) [input p6]
... | 0 |
Everyone who is happy is both not strong and not happy. Everyone who is both brave and not rich is either wise or patient. Everyone who is both not quiet and strong is both not funny and not humble and vice versa. Everyone who is either brave or funny is strong. Everyone who is not patient or quiet is happy or patient.... | Paul is not creative. | neutral | (![X]:(happy(X)=>(~strong(X)&~happy(X))))&
(![X]:((brave(X)&~rich(X))=>(wise(X)<~>patient(X))))&
(![X]:((~quiet(X)&strong(X))<=>(~funny(X)&~humble(X))))&
(![X]:((brave(X)<~>funny(X))=>strong(X)))&
(![X]:((~patient(X)|quiet(X))=>(happy(X)|patient(X))))&
((?[X]:((~strong(X)<~>brave(X))))=>((patient(fred)|kind(fred))))&
(... | ~creative(paul) | [] | null | 0 |
If someone is not rich or rich then someone is rich or brave and vice versa.
Everyone who is kind is patient or curious and vice versa.
Everyone who is either rich or not patient is either not rich or rich.
If someone is both creative and not rich then someone is creative and vice versa.
Everyone who is kind is either ... | Paul is not old. | contradiction | ((?[X]:((~rich(X)|rich(X))))<=>(?[X]:((rich(X)|brave(X)))))&
(![X]:(kind(X)<=>(patient(X)|curious(X))))&
(![X]:((rich(X)<~>~patient(X))=>(~rich(X)<~>rich(X))))&
((?[X]:((creative(X)&~rich(X))))<=>(?[X]:(creative(X))))&
(![X]:(kind(X)<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)<~>~strong(X))=>(quiet(X)&~happy(X))))&
(... | ~old(paul) | [
"p1",
"p4",
"p5",
"p6",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8403363015519447723718954
% SZS output start Proof for 8403363015519447723718954
2. ! [X0] : (kind(X0) <=> (curious(X0) | patient(X0))) [input p1]
5. ! [X0] : (kind(X0) <=> (~kind(X0) <~> ~patient(X0))) [input p4]
6. ! [X0] : ((~old(X0) <~> ~strong(X0)) => (~happy(X0) & quiet(X0))) [input... | 0 |
If someone is not kind then someone is either curious or brave and vice versa.
Everyone who is either not funny or not humble is both not generous and happy.
Everyone who is either not patient or brave is either tall or humble.
If someone is not calm then someone is both not humble and funny.
If someone is both kind an... | Paul is wise. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((curious(X)<~>brave(X)))))&
(![X]:((~funny(X)<~>~humble(X))=>(~generous(X)&happy(X))))&
(![X]:((~patient(X)<~>brave(X))=>(tall(X)<~>humble(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~humble(X)&funny(X)))))&
((?[X]:((kind(X)&~old(X))))<=>(curious(paul)))&
(![X]:((~strong(X)&~funny(X))=>(humble(X)|kin... | wise(paul) | [] | null | 0 |
Everyone who is old or not creative is either not creative or not funny and vice versa.
Everyone who is both not patient and curious is not rich or curious.
If someone is not tall then someone is calm or not patient and vice versa.
Everyone who is both not curious and old is old and vice versa.
If john is calm then pau... | Alice is not generous. | neutral | (![X]:((old(X)|~creative(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~patient(X)&curious(X))=>(~rich(X)|curious(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~curious(X)&old(X))<=>old(X)))&
((calm(john))<=>((~creative(paul)&~funny(paul))))&
((?[X]:((~tall(X)&brave(X))))<=>(?[X]:(~funny(X))))&
((?... | ~generous(alice) | [] | null | 0 |
Everyone who is either old or generous is tall or not brave and vice versa.
Everyone who is both patient and not wise is both strong and brave and vice versa.
Everyone who is wise or curious is either not quiet or quiet and vice versa.
Everyone who is generous is either brave or tall.
Everyone who is not creative is bo... | Lucy is tall. | neutral | (![X]:((old(X)<~>generous(X))<=>(tall(X)|~brave(X))))&
(![X]:((patient(X)&~wise(X))<=>(strong(X)&brave(X))))&
(![X]:((wise(X)|curious(X))<=>(~quiet(X)<~>quiet(X))))&
(![X]:(generous(X)=>(brave(X)<~>tall(X))))&
(![X]:(~creative(X)=>(~brave(X)&generous(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(strong(susan)))&
(((~funn... | tall(lucy) | [] | null | 0 |
Everyone who is not old is not calm or not patient and vice versa.
If someone is not calm then someone is either not quiet or quiet and vice versa.
Everyone who is both rich and not patient is either not quiet or brave.
Everyone who is not humble or strong is both not quiet and not old.
Everyone who is humble is both n... | Lucy is creative. | neutral | (![X]:(~old(X)<=>(~calm(X)|~patient(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(![X]:((rich(X)&~patient(X))=>(~quiet(X)<~>brave(X))))&
(![X]:((~humble(X)|strong(X))=>(~quiet(X)&~old(X))))&
(![X]:(humble(X)=>(~calm(X)&tall(X))))&
(((~brave(fred)&~rich(fred)))=>((humble(mary)|wise(mary))))&
(![X]:(kind... | creative(lucy) | [] | null | 0 |
Everyone who is both strong and quiet is not curious or not creative and vice versa.
If someone is both tall and not kind then alice is strong and vice versa.
If someone is not rich then someone is both not curious and quiet.
Everyone who is not kind is both kind and tall and vice versa.
Everyone who is humble or quiet... | Susan is rich. | contradiction | (![X]:((strong(X)&quiet(X))<=>(~curious(X)|~creative(X))))&
((?[X]:((tall(X)&~kind(X))))<=>(strong(alice)))&
((?[X]:(~rich(X)))=>(?[X]:((~curious(X)&quiet(X)))))&
(![X]:(~kind(X)<=>(kind(X)&tall(X))))&
(![X]:((humble(X)|quiet(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~humble(X)=>(curious(X)<~>quiet(X))))&
((~kind(fred))<=... | rich(susan) | [
"p0",
"p4",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4673677301904404701818915
% SZS output start Proof for 4673677301904404701818915
1. ! [X0] : ((quiet(X0) & strong(X0)) <=> (~creative(X0) | ~curious(X0))) [input p0]
5. ! [X0] : ((quiet(X0) | humble(X0)) => (~rich(X0) <~> ~strong(X0))) [input p4]
15. ! [X0] : ((~creative(X0) <~> ~quiet(X0... | 0 |
If someone is curious or not humble then mary is either patient or creative and vice versa.
If john is not patient then lucy is either wise or not funny and vice versa.
Everyone who is either happy or not wise is patient or not strong and vice versa.
If someone is either generous or not quiet then lucy is not happy.
If... | Mary is not patient. | contradiction | ((?[X]:((curious(X)|~humble(X))))<=>((patient(mary)<~>creative(mary))))&
((~patient(john))<=>((wise(lucy)<~>~funny(lucy))))&
(![X]:((happy(X)<~>~wise(X))<=>(patient(X)|~strong(X))))&
((?[X]:((generous(X)<~>~quiet(X))))=>(~happy(lucy)))&
((?[X]:(~quiet(X)))=>((~funny(mary)|wise(mary))))&
(((curious(susan)|strong(susan))... | ~patient(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4028405623450763010265330
% SZS output start Proof for 4028405623450763010265330
14. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (old(X0) & ~old(X0))) [input p13]
25. ~patient(mary) [input hypothesis]
54. ! [X0] : (((~patient(X0) | ~wise(X0)) | (~old(X0) | old(X0))) & ((old(X0) & ~old(X0)) |... | 0 |
Everyone who is both not happy and old is strong.
If mary is either tall or calm then someone is either strong or happy.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both humble and happy ... | Susan is not tall. | entailment | (![X]:((~happy(X)&old(X))=>strong(X)))&
(((tall(mary)<~>calm(mary)))=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~gene... | ~tall(susan) | [
"p2",
"p5",
"p10",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8466361812236253379290872
% SZS output start Proof for 8466361812236253379290872
3. ! [X0] : (humble(X0) <=> (wise(X0) <~> rich(X0))) [input p2]
6. ! [X0] : (~tall(X0) <=> calm(X0)) [input p5]
11. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p10]
13. ! [X0] :... | 0 |
If someone is both not funny and not brave then someone is wise.
If susan is either patient or curious then someone is both not quiet and not curious and vice versa.
If someone is not funny or not old then someone is either not creative or generous and vice versa.
Everyone who is creative is not generous and vice versa... | Mary is not quiet. | neutral | ((?[X]:((~funny(X)&~brave(X))))=>(?[X]:(wise(X))))&
(((patient(susan)<~>curious(susan)))<=>(?[X]:((~quiet(X)&~curious(X)))))&
((?[X]:((~funny(X)|~old(X))))<=>(?[X]:((~creative(X)<~>generous(X)))))&
(![X]:(creative(X)<=>~generous(X)))&
((?[X]:((patient(X)&~happy(X))))=>((strong(alice)&~humble(alice))))&
(![X]:((generous... | ~quiet(mary) | [] | null | 0 |
Everyone who is creative is both not curious and wise.
Everyone who is both old and not calm is not brave or wise and vice versa.
If someone is not generous or not tall then mary is rich or quiet.
If someone is both not quiet and creative then someone is not funny.
Everyone who is not tall or not rich is either humble ... | Lucy is not old. | neutral | (![X]:(creative(X)=>(~curious(X)&wise(X))))&
(![X]:((old(X)&~calm(X))<=>(~brave(X)|wise(X))))&
((?[X]:((~generous(X)|~tall(X))))=>((rich(mary)|quiet(mary))))&
((?[X]:((~quiet(X)&creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~rich(X))=>(humble(X)<~>creative(X))))&
((?[X]:((~quiet(X)<~>~old(X))))=>(?[X]:(~curious... | ~old(lucy) | [] | null | 0 |
If fred is creative or not funny then lucy is patient and vice versa.
Everyone who is not strong or old is both tall and patient and vice versa.
Everyone who is funny or curious is not rich.
Everyone who is not happy or not patient is either rich or funny and vice versa.
If someone is kind then someone is wise or rich ... | Paul is not wise. | contradiction | (((creative(fred)|~funny(fred)))<=>(patient(lucy)))&
(![X]:((~strong(X)|old(X))<=>(tall(X)&patient(X))))&
(![X]:((funny(X)|curious(X))=>~rich(X)))&
(![X]:((~happy(X)|~patient(X))<=>(rich(X)<~>funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)|rich(X)))))&
((?[X]:((~curious(X)<~>rich(X))))=>(?[X]:((kind(X)&creative(X)))))... | ~wise(paul) | [
"p6",
"p7",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5573438623580643727209795
% SZS output start Proof for 5573438623580643727209795
7. ! [X0] : (~wise(X0) => (patient(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (strong(X0) & ~humble(X0))) [input p7]
15. ! [X0] : (quiet(X0) => (brave(X0) & calm(X0))) [input p1... | 0 |
If susan is either not calm or quiet then someone is either funny or not old and vice versa.
Everyone who is both not curious and not patient is not humble.
If lucy is not brave then someone is patient and vice versa.
If someone is creative then someone is not quiet or not brave and vice versa.
Everyone who is tall is ... | Mary is quiet. | contradiction | (((~calm(susan)<~>quiet(susan)))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((~curious(X)&~patient(X))=>~humble(X)))&
((~brave(lucy))<=>(?[X]:(patient(X))))&
((?[X]:(creative(X)))<=>(?[X]:((~quiet(X)|~brave(X)))))&
(![X]:(tall(X)=>(~creative(X)<~>~funny(X))))&
(![X]:((quiet(X)&creative(X))=>(generous(X)|~strong(X))))&
((?... | quiet(mary) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5152010930859021813411576
% SZS output start Proof for 5152010930859021813411576
8. ! [X0] : (~generous(X0) <=> (~curious(X0) & kind(X0))) [input p7]
10. ? [X0] : (~wise(X0) | quiet(X0)) => ? [X0] : (generous(X0) & ~rich(X0)) [input p9]
16. ! [X0] : ((~rich(X0) <~> generous(X0)) <=> (~kin... | 0 |
Everyone who is both not curious and quiet is not patient or wise.
Everyone who is not generous is both brave and not wise.
If paul is not funny or not generous then lucy is both not kind and not creative and vice versa.
Everyone who is happy or strong is generous or brave.
If john is funny then john is not rich.
Every... | Mary is not strong. | neutral | (![X]:((~curious(X)&quiet(X))=>(~patient(X)|wise(X))))&
(![X]:(~generous(X)=>(brave(X)&~wise(X))))&
(((~funny(paul)|~generous(paul)))<=>((~kind(lucy)&~creative(lucy))))&
(![X]:((happy(X)|strong(X))=>(generous(X)|brave(X))))&
((funny(john))=>(~rich(john)))&
(![X]:((strong(X)&tall(X))=>(curious(X)&brave(X))))&
(![X]:((ha... | ~strong(mary) | [] | null | 0 |
Everyone who is both patient and generous is happy or not old.
Everyone who is both rich and not tall is kind.
If someone is both patient and brave then someone is both not kind and happy and vice versa.
Everyone who is not patient is not calm or not old and vice versa.
Everyone who is either not happy or funny is rich... | John is not rich. | contradiction | (![X]:((patient(X)&generous(X))=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~tall(X))=>kind(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:(~patient(X)<=>(~calm(X)|~old(X))))&
(![X]:((~happy(X)<~>funny(X))=>rich(X)))&
(![X]:((generous(X)|kind(X))<=>(~old(X)|~quiet(X))))&
(![X]:((quiet(X)|happy(... | ~rich(john) | [
"p2",
"p3",
"p6",
"p8",
"p9",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7502754541644498530107730
% SZS output start Proof for 7502754541644498530107730
3. ? [X0] : (brave(X0) & patient(X0)) <=> ? [X0] : (happy(X0) & ~kind(X0)) [input p2]
4. ! [X0] : (~patient(X0) <=> (~old(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((happy(X0) | quiet(X0)) => ~calm(X0)) [input... | 0 |
If fred is old then john is not rich. If someone is humble then someone is both tall and not humble and vice versa. Everyone who is either kind or not calm is not brave and vice versa. If someone is tall then someone is wise and vice versa. Everyone who is not curious or curious is either not funny or brave. Everyone w... | Alice is not funny. | contradiction | ((old(fred))=>(~rich(john)))&
((?[X]:(humble(X)))<=>(?[X]:((tall(X)&~humble(X)))))&
(![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(ki... | ~funny(alice) | [
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5408373811902567921588576
% SZS output start Proof for 5408373811902567921588576
5. ! [X0] : ((curious(X0) | ~curious(X0)) => (~funny(X0) <~> brave(X0))) [input p4]
6. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | ~strong(X0))) [input p5]
8. ! [X0] : (strong(X0) <=> (funny(X0) & ~tall... | 0 |
If someone is both not curious and not patient then lucy is rich and vice versa. Everyone who is both not calm and not old is either rich or not strong and vice versa. Everyone who is not funny or not patient is both strong and old. Everyone who is not patient or creative is both not old and calm and vice versa. If sus... | Paul is not happy. | contradiction | ((?[X]:((~curious(X)&~patient(X))))<=>(rich(lucy)))&
(![X]:((~calm(X)&~old(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((~funny(X)|~patient(X))=>(strong(X)&old(X))))&
(![X]:((~patient(X)|creative(X))<=>(~old(X)&calm(X))))&
(((curious(susan)&funny(susan)))=>(?[X]:((strong(X)<~>~funny(X)))))&
(![X]:((humble(X)<~>~patient(X))<=... | ~happy(paul) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 651076565325059192731897
% SZS output start Proof for 651076565325059192731897
12. ! [X0] : (happy(X0) <=> old(X0)) [input p11]
17. old(paul) & ~brave(paul) [input p16]
24. ~happy(paul) [input hypothesis]
25. old(paul) [pure predicate removal 17]
55. ! [X0] : ((happy(X0) | ~old(X0)) & (ol... | 0 |
Everyone who is not happy or not curious is either calm or wise.
If someone is either creative or not brave then someone is calm or not generous.
Everyone who is either creative or kind is not old.
Everyone who is generous is either not calm or wise and vice versa.
Everyone who is wise or not humble is not brave or fun... | Lucy is funny. | contradiction | (![X]:((~happy(X)|~curious(X))=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((creative(X)<~>kind(X))=>~old(X)))&
(![X]:(generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((wise(X)|~humble(X))<=>(~brave(X)|funny(X))))&
(![X]:((~quiet(X)|wise(X))<=>(calm(X)&~curious(X))))... | funny(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5253478606805071246769908
% SZS output start Proof for 5253478606805071246769908
1. ! [X0] : ((~curious(X0) | ~happy(X0)) => (calm(X0) <~> wise(X0))) [input p0]
4. ! [X0] : (generous(X0) <=> (~calm(X0) <~> wise(X0))) [input p3]
6. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~curious(X0) & calm... | 0 |
If someone is not tall then someone is creative or not tall and vice versa.
If someone is humble or not strong then someone is not patient.
If alice is creative or not happy then mary is either not patient or not generous and vice versa.
Everyone who is not calm or creative is both quiet and not happy.
If alice is crea... | Mary is not quiet. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((creative(X)|~tall(X)))))&
((?[X]:((humble(X)|~strong(X))))=>(?[X]:(~patient(X))))&
(((creative(alice)|~happy(alice)))<=>((~patient(mary)<~>~generous(mary))))&
(![X]:((~calm(X)|creative(X))=>(quiet(X)&~happy(X))))&
((creative(alice))<=>(quiet(mary)))&
(![X]:((brave(X)<~>patient(X))<=>(~stron... | ~quiet(mary) | [
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7479921100158237312502230
% SZS output start Proof for 7479921100158237312502230
4. ! [X0] : ((creative(X0) | ~calm(X0)) => (~happy(X0) & quiet(X0))) [input p3]
5. creative(alice) <=> quiet(mary) [input p4]
9. ! [X0] : ((quiet(X0) | brave(X0)) => happy(X0)) [input p8]
23. quiet(mary) [inp... | 0 |
Everyone who is either creative or quiet is not tall or wise and vice versa.
Everyone who is kind is both not funny and not strong.
Everyone who is not patient is not happy or humble.
If someone is not rich or strong then someone is both not calm and brave.
If paul is kind or not rich then someone is either not strong ... | John is old. | contradiction | (![X]:((creative(X)<~>quiet(X))<=>(~tall(X)|wise(X))))&
(![X]:(kind(X)=>(~funny(X)&~strong(X))))&
(![X]:(~patient(X)=>(~happy(X)|humble(X))))&
((?[X]:((~rich(X)|strong(X))))=>(?[X]:((~calm(X)&brave(X)))))&
(((kind(paul)|~rich(paul)))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
(![X]:(kind(X)<=>(~quiet(X)&~creative(X))))&
(![X... | old(john) | [
"p0",
"p7",
"p12",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7571169214996428367720805
% SZS output start Proof for 7571169214996428367720805
1. ! [X0] : ((creative(X0) <~> quiet(X0)) <=> (wise(X0) | ~tall(X0))) [input p0]
8. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~humble(X0) | ~creative(X0))) [input p7]
13. ! [X0] : (~wise(X0) <=> (curious(... | 0 |
Everyone who is not rich or not brave is either generous or strong and vice versa.
Everyone who is both not patient and not funny is either not calm or humble and vice versa.
Everyone who is creative or generous is both strong and old and vice versa.
Everyone who is calm is both not creative and old and vice versa.
Eve... | Fred is not old. | contradiction | (![X]:((~rich(X)|~brave(X))<=>(generous(X)<~>strong(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((creative(X)|generous(X))<=>(strong(X)&old(X))))&
(![X]:(calm(X)<=>(~creative(X)&old(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|rich(X))))&
(![X]:(old(X)=>(~brave(X)&~humble(X))))&
((?[X]:((~... | ~old(fred) | [
"p12",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8535457757547666777834662
% SZS output start Proof for 8535457757547666777834662
13. (quiet(fred) & old(fred)) <=> (~humble(alice) | ~kind(alice)) [input p12]
15. ! [X0] : (~happy(X0) <=> (quiet(X0) & brave(X0))) [input p14]
16. ? [X0] : (tall(X0) | happy(X0)) => (~brave(alice) & ~kind(al... | 0 |
Everyone who is both funny and not calm is not brave.
If someone is both not funny and quiet then someone is either generous or not quiet.
If susan is quiet then mary is not generous or strong.
If susan is both not tall and not generous then someone is either not wise or patient.
Everyone who is both not rich and stron... | Paul is funny. | neutral | (![X]:((funny(X)&~calm(X))=>~brave(X)))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((generous(X)<~>~quiet(X)))))&
((quiet(susan))=>((~generous(mary)|strong(mary))))&
(((~tall(susan)&~generous(susan)))=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~rich(X)&strong(X))<=>(quiet(X)|old(X))))&
(![X]:((curious(X)|calm(X))=>~wise(X... | funny(paul) | [] | null | 0 |
If alice is both curious and strong then alice is not tall or not patient.
Everyone who is old is both creative and quiet and vice versa.
Everyone who is humble is both not quiet and rich and vice versa.
If mary is either funny or not happy then susan is strong and vice versa.
Everyone who is both not old and kind is e... | Alice is not kind. | neutral | (((curious(alice)&strong(alice)))=>((~tall(alice)|~patient(alice))))&
(![X]:(old(X)<=>(creative(X)&quiet(X))))&
(![X]:(humble(X)<=>(~quiet(X)&rich(X))))&
(((funny(mary)<~>~happy(mary)))<=>(strong(susan)))&
(![X]:((~old(X)&kind(X))<=>(curious(X)<~>~brave(X))))&
(![X]:(~strong(X)<=>(~quiet(X)|~patient(X))))&
(((rich(susa... | ~kind(alice) | [] | null | 0 |
If paul is quiet then someone is patient or not strong and vice versa.
If someone is both not brave and kind then someone is both old and not humble and vice versa.
Everyone who is not old or tall is not tall or not old and vice versa.
If someone is not quiet or not old then john is either wise or not tall and vice ver... | Paul is funny. | contradiction | ((quiet(paul))<=>(?[X]:((patient(X)|~strong(X)))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((old(X)&~humble(X)))))&
(![X]:((~old(X)|tall(X))<=>(~tall(X)|~old(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((wise(john)<~>~tall(john))))&
((?[X]:((brave(X)&~happy(X))))=>((~strong(fred)<~>~old(fred))))&
((?[X]:((~calm(X)&~funny(X))... | funny(paul) | [
"p2",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4421077277547982707559952
% SZS output start Proof for 4421077277547982707559952
3. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~old(X0) | ~tall(X0))) [input p2]
12. ! [X0] : ((humble(X0) | ~calm(X0)) <=> (old(X0) <~> ~humble(X0))) [input p11]
20. ~calm(paul) <~> funny(paul) [input p19]
23. funn... | 0 |
Everyone who is either not generous or strong is not wise or patient and vice versa.
Everyone who is tall or not calm is either not rich or generous and vice versa.
If alice is either creative or rich then someone is funny.
Everyone who is both kind and not strong is tall.
If lucy is brave then susan is humble or not c... | Lucy is old. | contradiction | (![X]:((~generous(X)<~>strong(X))<=>(~wise(X)|patient(X))))&
(![X]:((tall(X)|~calm(X))<=>(~rich(X)<~>generous(X))))&
(((creative(alice)<~>rich(alice)))=>(?[X]:(funny(X))))&
(![X]:((kind(X)&~strong(X))=>tall(X)))&
((brave(lucy))=>((humble(susan)|~curious(susan))))&
((?[X]:((old(X)&strong(X))))<=>((~funny(fred)|kind(fred... | old(lucy) | [
"p0",
"p7",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 481595527503200275474150
% SZS output start Proof for 481595527503200275474150
1. ! [X0] : ((~generous(X0) <~> strong(X0)) <=> (patient(X0) | ~wise(X0))) [input p0]
8. ! [X0] : ((humble(X0) & ~generous(X0)) <=> (~generous(X0) <~> ~old(X0))) [input p7]
9. ! [X0] : ((~happy(X0) | ~humble(X0... | 0 |
Everyone who is either not calm or brave is either not curious or brave.
Everyone who is both old and not funny is either not creative or old.
If someone is either not patient or not quiet then susan is not patient.
Everyone who is both not curious and wise is happy or strong and vice versa.
Everyone who is either not ... | Lucy is old. | neutral | (![X]:((~calm(X)<~>brave(X))=>(~curious(X)<~>brave(X))))&
(![X]:((old(X)&~funny(X))=>(~creative(X)<~>old(X))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(~patient(susan)))&
(![X]:((~curious(X)&wise(X))<=>(happy(X)|strong(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~quiet(X)&~rich(X))))&
(((~brave(mary)|kind(mary)))<=>((~tall(mar... | old(lucy) | [] | null | 0 |
If someone is both not funny and tall then someone is not humble. If alice is either not tall or not strong then someone is both not brave and not tall and vice versa. Everyone who is either not happy or creative is not calm and vice versa. If someone is not old then someone is not curious. Everyone who is both calm an... | Alice is generous. | contradiction | ((?[X]:((~funny(X)&tall(X))))=>(?[X]:(~humble(X))))&
(((~tall(alice)<~>~strong(alice)))<=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((~happy(X)<~>creative(X))<=>~calm(X)))&
((?[X]:(~old(X)))=>(?[X]:(~curious(X))))&
(![X]:((calm(X)&quiet(X))=>(quiet(X)<~>brave(X))))&
((?[X]:(kind(X)))<=>(?[X]:(old(X))))&
(![X]:((wise(X)<~>~... | generous(alice) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 306150879337688472534655
% SZS output start Proof for 306150879337688472534655
12. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> (~generous(X0) & calm(X0))) [input p11]
25. generous(alice) [input hypothesis]
64. ! [X0] : ((((~rich(X0) | rich(X0)) & (rich(X0) | ~rich(X0))) | (generous(X0) | ~calm... | 0 |
If someone is both creative and not old then lucy is not creative or happy.
Everyone who is not calm is either happy or curious and vice versa.
If someone is not generous then john is not calm or not funny and vice versa.
If someone is tall or not old then someone is either not creative or not calm.
If someone is not b... | Fred is not quiet. | entailment | ((?[X]:((creative(X)&~old(X))))=>((~creative(lucy)|happy(lucy))))&
(![X]:(~calm(X)<=>(happy(X)<~>curious(X))))&
((?[X]:(~generous(X)))<=>((~calm(john)|~funny(john))))&
((?[X]:((tall(X)|~old(X))))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((?[X]:((~brave(X)|~strong(X))))=>(?[X]:((~tall(X)|quiet(X)))))&
((?[X]:((kind(X)&funn... | ~quiet(fred) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1191626246644583257743137
% SZS output start Proof for 1191626246644583257743137
13. ! [X0] : (quiet(X0) => (happy(X0) & ~wise(X0))) [input p12]
23. kind(fred) & wise(fred) [input p22]
25. quiet(fred) [input hypothesis]
37. ! [X0] : ((happy(X0) & ~wise(X0)) | ~quiet(X0)) [ennf transformat... | 0 |
Everyone who is tall is both not happy and not tall. Everyone who is either not calm or strong is kind or creative. Everyone who is quiet or calm is patient. Everyone who is either not strong or not brave is both not brave and not rich and vice versa. If fred is both tall and rich then fred is both calm and not happy a... | Susan is not patient. | contradiction | (![X]:(tall(X)=>(~happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>strong(X))=>(kind(X)|creative(X))))&
(![X]:((quiet(X)|calm(X))=>patient(X)))&
(![X]:((~strong(X)<~>~brave(X))<=>(~brave(X)&~rich(X))))&
(((tall(fred)&rich(fred)))<=>((calm(fred)&~happy(fred))))&
((old(alice))<=>((patient(mary)<~>curious(mary))))&
(![X]:((~happy... | ~patient(susan) | [
"p0",
"p2",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 384390160801091533405994
% SZS output start Proof for 384390160801091533405994
1. ! [X0] : (tall(X0) => (~tall(X0) & ~happy(X0))) [input p0]
3. ! [X0] : ((calm(X0) | quiet(X0)) => patient(X0)) [input p2]
9. ? [X0] : (~tall(X0) & ~quiet(X0)) => creative(alice) [input p8]
14. ? [X0] : (crea... | 0 |
If paul is not curious then someone is quiet or tall and vice versa.
If lucy is either wise or calm then paul is quiet and vice versa.
If susan is not wise then someone is not happy or patient and vice versa.
Everyone who is not strong or brave is generous or curious.
If someone is both not generous and creative then m... | Lucy is not wise. | contradiction | ((~curious(paul))<=>(?[X]:((quiet(X)|tall(X)))))&
(((wise(lucy)<~>calm(lucy)))<=>(quiet(paul)))&
((~wise(susan))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(generous(X)|curious(X))))&
((?[X]:((~generous(X)&creative(X))))=>((~strong(mary)&~curious(mary))))&
((~funny(paul))<=>(?[X]:(calm(X))))&
(![... | ~wise(lucy) | [
"p0",
"p1",
"p12",
"p13",
"p14",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7019316742587607855387508
% SZS output start Proof for 7019316742587607855387508
1. ~curious(paul) <=> ? [X0] : (tall(X0) | quiet(X0)) [input p0]
2. (wise(lucy) <~> calm(lucy)) <=> quiet(paul) [input p1]
13. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p12]
14. ! [X0] : ((~wise(X0) <~> ~ha... | 0 |
If paul is both not quiet and old then someone is not humble and vice versa.
If john is either rich or quiet then paul is both happy and old.
Everyone who is either wise or not wise is wise or kind.
Everyone who is not generous is both not patient and brave and vice versa.
Everyone who is both rich and curious is both ... | Alice is quiet. | neutral | (((~quiet(paul)&old(paul)))<=>(?[X]:(~humble(X))))&
(((rich(john)<~>quiet(john)))=>((happy(paul)&old(paul))))&
(![X]:((wise(X)<~>~wise(X))=>(wise(X)|kind(X))))&
(![X]:(~generous(X)<=>(~patient(X)&brave(X))))&
(![X]:((rich(X)&curious(X))<=>(~calm(X)&tall(X))))&
((?[X]:((patient(X)|~creative(X))))<=>(?[X]:((old(X)<~>~hap... | quiet(alice) | [] | null | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | Lucy is wise. | entailment | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | wise(lucy) | [
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3775365257279058929550941
% SZS output start Proof for 3775365257279058929550941
10. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> ~happy(X0)) [input p9]
15. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (~happy(X0) | ~strong(X0))) [input p14]
16. humble(lucy) [input p15]
23. ~wise(lucy) [input hy... | 0 |
If someone is quiet then someone is humble and vice versa.
Everyone who is not creative is both funny and not curious and vice versa.
Everyone who is strong is not funny and vice versa.
If someone is rich then paul is not humble or not tall and vice versa.
Everyone who is either not tall or not happy is either not tall... | John is not kind. | neutral | ((?[X]:(quiet(X)))<=>(?[X]:(humble(X))))&
(![X]:(~creative(X)<=>(funny(X)&~curious(X))))&
(![X]:(strong(X)<=>~funny(X)))&
((?[X]:(rich(X)))<=>((~humble(paul)|~tall(paul))))&
(![X]:((~tall(X)<~>~happy(X))=>(~tall(X)<~>~curious(X))))&
((?[X]:((patient(X)<~>humble(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~calm(X)|rich... | ~kind(john) | [] | null | 0 |
If someone is calm then john is both not tall and wise and vice versa.
Everyone who is creative is not funny or not humble and vice versa.
Everyone who is quiet or strong is tall or rich and vice versa.
If someone is both quiet and strong then someone is quiet or funny and vice versa.
Everyone who is creative or not fu... | John is happy. | entailment | ((?[X]:(calm(X)))<=>((~tall(john)&wise(john))))&
(![X]:(creative(X)<=>(~funny(X)|~humble(X))))&
(![X]:((quiet(X)|strong(X))<=>(tall(X)|rich(X))))&
((?[X]:((quiet(X)&strong(X))))<=>(?[X]:((quiet(X)|funny(X)))))&
(![X]:((creative(X)|~funny(X))<=>(quiet(X)<~>rich(X))))&
(![X]:((~funny(X)&tall(X))<=>(~kind(X)|~happy(X))))&... | happy(john) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 857594360697758956599695
% SZS output start Proof for 857594360697758956599695
6. ! [X0] : ((tall(X0) & ~funny(X0)) <=> (~happy(X0) | ~kind(X0))) [input p5]
9. ! [X0] : ((happy(X0) | ~happy(X0)) => (~tall(X0) & brave(X0))) [input p8]
24. ~happy(john) [input hypothesis]
28. ! [X0] : ((~tal... | 0 |
If susan is not tall then someone is either happy or not brave.
If susan is either old or not funny then someone is old or generous.
Everyone who is either quiet or not calm is happy.
Everyone who is strong or not wise is either quiet or not strong and vice versa.
If paul is either not tall or not strong then mary is b... | Fred is strong. | contradiction | ((~tall(susan))=>(?[X]:((happy(X)<~>~brave(X)))))&
(((old(susan)<~>~funny(susan)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((quiet(X)<~>~calm(X))=>happy(X)))&
(![X]:((strong(X)|~wise(X))<=>(quiet(X)<~>~strong(X))))&
(((~tall(paul)<~>~strong(paul)))=>((~wise(mary)&~funny(mary))))&
(![X]:((~humble(X)|~creative(X))<=>quiet... | strong(fred) | [
"p2",
"p3",
"p6",
"p7",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7177709730260071324820466
% SZS output start Proof for 7177709730260071324820466
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) => happy(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | strong(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p3]
7. ! [X0] : ((~happy(X0) & curious(X0)) => (~quiet(X0) <~> bra... | 0 |
Everyone who is either not patient or not funny is not brave or wise and vice versa.
Everyone who is both not tall and not strong is either not wise or not strong and vice versa.
Everyone who is both old and creative is either strong or not wise and vice versa.
If paul is not brave then alice is brave and vice versa.
I... | Paul is patient. | entailment | (![X]:((~patient(X)<~>~funny(X))<=>(~brave(X)|wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(... | patient(paul) | [
"p1",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1452580878571243525191430
% SZS output start Proof for 1452580878571243525191430
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
8. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p7]
16. ! [X0] : ((strong(X0) | happy(X0)) <=> (... | 0 |
If someone is not generous or not creative then susan is either not tall or calm and vice versa. If alice is both generous and not strong then someone is not kind or generous. If mary is either not brave or rich then john is either kind or curious. If someone is happy or not strong then paul is calm or not calm. Everyo... | Paul is creative. | entailment | ((?[X]:((~generous(X)|~creative(X))))<=>((~tall(susan)<~>calm(susan))))&
(((generous(alice)&~strong(alice)))=>(?[X]:((~kind(X)|generous(X)))))&
(((~brave(mary)<~>rich(mary)))=>((kind(john)<~>curious(john))))&
((?[X]:((happy(X)|~strong(X))))=>((calm(paul)|~calm(paul))))&
(![X]:((tall(X)&generous(X))=>~humble(X)))&
(![X]... | creative(paul) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 521597336219800043817822
% SZS output start Proof for 521597336219800043817822
1. ? [X0] : (~creative(X0) | ~generous(X0)) <=> (~tall(susan) <~> calm(susan)) [input p0]
5. ! [X0] : ((generous(X0) & tall(X0)) => ~humble(X0)) [input p4]
7. ! [X0] : (~patient(X0) <=> creative(X0)) [input p6]... | 0 |
If someone is both not brave and rich then john is both not humble and not wise and vice versa.
Everyone who is both wise and funny is either not curious or not happy and vice versa.
If someone is brave then someone is not creative or not quiet.
If someone is both funny and humble then mary is either tall or patient an... | Susan is not curious. | contradiction | ((?[X]:((~brave(X)&rich(X))))<=>((~humble(john)&~wise(john))))&
(![X]:((wise(X)&funny(X))<=>(~curious(X)<~>~happy(X))))&
((?[X]:(brave(X)))=>(?[X]:((~creative(X)|~quiet(X)))))&
((?[X]:((funny(X)&humble(X))))<=>((tall(mary)<~>patient(mary))))&
(![X]:(wise(X)=>(quiet(X)&brave(X))))&
((creative(fred))=>((~old(susan)<~>~cr... | ~curious(susan) | [
"p4",
"p7",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 844248043942433225252931
% SZS output start Proof for 844248043942433225252931
5. ! [X0] : (wise(X0) => (brave(X0) & quiet(X0))) [input p4]
8. ! [X0] : ((humble(X0) | tall(X0)) <=> (kind(X0) & ~old(X0))) [input p7]
10. ! [X0] : (~curious(X0) <=> (tall(X0) & ~strong(X0))) [input p9]
12. ! ... | 0 |
If alice is not curious or not kind then someone is funny or quiet.
If someone is not tall or rich then someone is both not rich and not wise.
Everyone who is both brave and not brave is funny and vice versa.
Everyone who is either old or brave is creative and vice versa.
Everyone who is humble or not quiet is either n... | Lucy is old. | neutral | (((~curious(alice)|~kind(alice)))=>(?[X]:((funny(X)|quiet(X)))))&
((?[X]:((~tall(X)|rich(X))))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:((brave(X)&~brave(X))<=>funny(X)))&
(![X]:((old(X)<~>brave(X))<=>creative(X)))&
(![X]:((humble(X)|~quiet(X))<=>(~quiet(X)<~>~rich(X))))&
((?[X]:(~old(X)))<=>((happy(susan)|~creative(susan... | old(lucy) | [] | null | 0 |
Everyone who is brave is not kind or not tall. If alice is both not wise and not generous then fred is both happy and not funny and vice versa. Everyone who is either generous or tall is not tall and vice versa. Everyone who is both not quiet and not patient is either not funny or old and vice versa. Everyone who is bo... | Fred is not funny. | entailment | (![X]:(brave(X)=>(~kind(X)|~tall(X))))&
(((~wise(alice)&~generous(alice)))<=>((happy(fred)&~funny(fred))))&
(![X]:((generous(X)<~>tall(X))<=>~tall(X)))&
(![X]:((~quiet(X)&~patient(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)&curious(X))=>(~calm(X)|humble(X))))&
(![X]:((strong(X)&brave(X))=>(patient(X)&~tall(X))))&
((... | ~funny(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8874012676089075272987222
% SZS output start Proof for 8874012676089075272987222
11. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> ~creative(X0)) [input p10]
24. funny(fred) [input hypothesis]
47. ! [X0] : ((((~creative(X0) | funny(X0)) & (creative(X0) | ~funny(X0))) | creative(X0)) & (~cre... | 0 |
If fred is both not calm and curious then fred is both not tall and not generous.
Everyone who is tall or not wise is both quiet and not happy.
If paul is both not creative and generous then someone is curious or not rich.
Everyone who is not calm or not wise is not happy or patient.
Everyone who is both happy and not ... | Paul is curious. | entailment | (((~calm(fred)&curious(fred)))=>((~tall(fred)&~generous(fred))))&
(![X]:((tall(X)|~wise(X))=>(quiet(X)&~happy(X))))&
(((~creative(paul)&generous(paul)))=>(?[X]:((curious(X)|~rich(X)))))&
(![X]:((~calm(X)|~wise(X))=>(~happy(X)|patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~curious(X)<~>~patient(X))))&
((~funny(fred))=>((... | curious(paul) | [
"p1",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2974363702064071091733000
% SZS output start Proof for 2974363702064071091733000
2. ! [X0] : ((~wise(X0) | tall(X0)) => (~happy(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((~wise(X0) & happy(X0)) <=> (~curious(X0) <~> ~patient(X0))) [input p4]
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~stro... | 0 |
Everyone who is not tall or not quiet is either patient or kind and vice versa.
If john is either old or funny then someone is both old and not quiet and vice versa.
Everyone who is both strong and wise is not patient or not old and vice versa.
If someone is patient or not curious then susan is not happy or not wise an... | Alice is tall. | contradiction | (![X]:((~tall(X)|~quiet(X))<=>(patient(X)<~>kind(X))))&
(((old(john)<~>funny(john)))<=>(?[X]:((old(X)&~quiet(X)))))&
(![X]:((strong(X)&wise(X))<=>(~patient(X)|~old(X))))&
((?[X]:((patient(X)|~curious(X))))<=>((~happy(susan)|~wise(susan))))&
(![X]:((~patient(X)&~generous(X))=>~generous(X)))&
(((generous(mary)&strong(mar... | tall(alice) | [
"p0",
"p2",
"p7",
"p8",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2894032688256321028811370
% SZS output start Proof for 2894032688256321028811370
1. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> (patient(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((wise(X0) & strong(X0)) <=> (~old(X0) | ~patient(X0))) [input p2]
8. ! [X0] : ((~tall(X0) | ~creative(X0)) => kind... | 0 |
Everyone who is wise or brave is both not generous and funny and vice versa.
If susan is either creative or not humble then paul is not patient and vice versa.
Everyone who is either wise or patient is either not generous or not humble.
If susan is generous then susan is happy and vice versa.
If someone is both kind an... | John is not rich. | contradiction | (![X]:((wise(X)|brave(X))<=>(~generous(X)&funny(X))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((curious(X)|wise(X))=>~curious(... | ~rich(john) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 688568870715553044812651
% SZS output start Proof for 688568870715553044812651
6. ! [X0] : ((wise(X0) | curious(X0)) => ~curious(X0)) [input p5]
11. ? [X0] : (kind(X0) | ~rich(X0)) <=> curious(lucy) [input p10]
21. ~rich(john) [input hypothesis]
25. ! [X0] : (~curious(X0) | (~wise(X0) & ~... | 0 |
Everyone who is not kind is generous.
Everyone who is not brave is not rich or not quiet and vice versa.
If someone is not calm or not strong then john is happy or not creative.
Everyone who is quiet is both generous and not quiet.
If susan is either strong or curious then susan is humble or not patient.
If someone is ... | Alice is not wise. | neutral | (![X]:(~kind(X)=>generous(X)))&
(![X]:(~brave(X)<=>(~rich(X)|~quiet(X))))&
((?[X]:((~calm(X)|~strong(X))))=>((happy(john)|~creative(john))))&
(![X]:(quiet(X)=>(generous(X)&~quiet(X))))&
(((strong(susan)<~>curious(susan)))=>((humble(susan)|~patient(susan))))&
((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:(curious(X))))&
(... | ~wise(alice) | [] | null | 0 |
Everyone who is not tall is brave. Everyone who is old or humble is not strong and vice versa. Everyone who is not quiet is either not brave or generous. Everyone who is humble or wise is either not generous or creative. If paul is not curious or creative then someone is happy or not old. Everyone who is either not cal... | Lucy is not curious. | entailment | (![X]:(~tall(X)=>brave(X)))&
(![X]:((old(X)|humble(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~brave(X)<~>generous(X))))&
(![X]:((humble(X)|wise(X))=>(~generous(X)<~>creative(X))))&
(((~curious(paul)|creative(paul)))=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((~calm(X)<~>~kind(X))<=>(~brave(X)|~quiet(X))))&
(![X]:(funny(X)=>qui... | ~curious(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7992152805907801130891
% SZS output start Proof for 7992152805907801130891
19. ~curious(lucy) & ~generous(lucy) [input p18]
25. curious(lucy) [input hypothesis]
122. ~curious(lucy) [cnf transformation 19]
130. curious(lucy) [cnf transformation 25]
231. $false [subsumption resolution 130,1... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Paul is not generous. | entailment | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | ~generous(paul) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8892417142990746151564381
% SZS output start Proof for 8892417142990746151564381
1. ! [X0] : ((funny(X0) & ~tall(X0)) => (~curious(X0) <~> generous(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~generous(X0)) => creative(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0)))... | 0 |
If someone is both old and strong then susan is tall or not curious.
If someone is not calm or generous then someone is not old.
If someone is not strong or brave then lucy is either old or tall and vice versa.
Everyone who is kind is either not patient or brave and vice versa.
Everyone who is not funny is both funny a... | Alice is not generous. | entailment | ((?[X]:((old(X)&strong(X))))=>((tall(susan)|~curious(susan))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:(~old(X))))&
((?[X]:((~strong(X)|brave(X))))<=>((old(lucy)<~>tall(lucy))))&
(![X]:(kind(X)<=>(~patient(X)<~>brave(X))))&
(![X]:(~funny(X)=>(funny(X)&generous(X))))&
((?[X]:((~patient(X)<~>generous(X))))<=>((tall(alic... | ~generous(alice) | [
"p3",
"p4",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2569653130715527393897332
% SZS output start Proof for 2569653130715527393897332
4. ! [X0] : (kind(X0) <=> (~patient(X0) <~> brave(X0))) [input p3]
5. ! [X0] : (~funny(X0) => (generous(X0) & funny(X0))) [input p4]
9. ! [X0] : ((~patient(X0) <~> brave(X0)) => (~patient(X0) & strong(X0))) [... | 0 |
If mary is both quiet and calm then susan is brave.
If susan is not wise then someone is either not brave or not funny and vice versa.
Everyone who is both not patient and not old is both tall and not humble.
If someone is either old or quiet then susan is not brave or not kind and vice versa.
Everyone who is both pati... | Mary is not rich. | contradiction | (((quiet(mary)&calm(mary)))=>(brave(susan)))&
((~wise(susan))<=>(?[X]:((~brave(X)<~>~funny(X)))))&
(![X]:((~patient(X)&~old(X))=>(tall(X)&~humble(X))))&
((?[X]:((old(X)<~>quiet(X))))<=>((~brave(susan)|~kind(susan))))&
(![X]:((patient(X)&~funny(X))<=>(~funny(X)<~>~calm(X))))&
((~calm(paul))<=>((curious(paul)|patient(pau... | ~rich(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1395440359389547519911220
% SZS output start Proof for 1395440359389547519911220
16. kind(mary) & rich(mary) [input p15]
22. ~rich(mary) [input hypothesis]
123. rich(mary) [cnf transformation 16]
132. ~rich(mary) [cnf transformation 22]
276. $false [subsumption resolution 132,123]
% SZS o... | 0 |
Everyone who is kind or not tall is both not wise and not happy and vice versa.
Everyone who is either not humble or humble is both kind and not patient and vice versa.
Everyone who is both creative and not calm is both not rich and calm.
Everyone who is not funny is not tall or humble and vice versa.
Everyone who is p... | Mary is humble. | neutral | (![X]:((kind(X)|~tall(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(kind(X)&~patient(X))))&
(![X]:((creative(X)&~calm(X))=>(~rich(X)&calm(X))))&
(![X]:(~funny(X)<=>(~tall(X)|humble(X))))&
(![X]:((patient(X)|curious(X))<=>(~kind(X)<~>rich(X))))&
(((~funny(fred)|creative(fred)))<=>((brave(susan)&wise(s... | humble(mary) | [] | null | 0 |
If someone is either rich or funny then paul is both not generous and rich.
Everyone who is strong is both not rich and not old and vice versa.
If alice is both quiet and not funny then someone is brave and vice versa.
Everyone who is either old or not calm is both patient and not patient and vice versa.
Everyone who i... | Fred is not rich. | contradiction | ((?[X]:((rich(X)<~>funny(X))))=>((~generous(paul)&rich(paul))))&
(![X]:(strong(X)<=>(~rich(X)&~old(X))))&
(((quiet(alice)&~funny(alice)))<=>(?[X]:(brave(X))))&
(![X]:((old(X)<~>~calm(X))<=>(patient(X)&~patient(X))))&
(![X]:(creative(X)=>(~quiet(X)|~wise(X))))&
(((old(lucy)&~strong(lucy)))<=>(?[X]:(~rich(X))))&
(((~rich... | ~rich(fred) | [
"p1",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 301388038344372393830408
% SZS output start Proof for 301388038344372393830408
2. ! [X0] : (strong(X0) <=> (~old(X0) & ~rich(X0))) [input p1]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (calm(X0) & ~strong(X0))) [input p9]
15. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> (~old(X0) & ~c... | 0 |
If someone is not tall then someone is both not creative and not calm and vice versa.
Everyone who is either patient or not wise is tall or not happy and vice versa.
If someone is not patient then fred is either old or not funny and vice versa.
Everyone who is either not rich or tall is tall or not kind.
Everyone who i... | Alice is not funny. | contradiction | ((?[X]:(~tall(X)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:((patient(X)<~>~wise(X))<=>(tall(X)|~happy(X))))&
((?[X]:(~patient(X)))<=>((old(fred)<~>~funny(fred))))&
(![X]:((~rich(X)<~>tall(X))=>(tall(X)|~kind(X))))&
(![X]:((quiet(X)&~funny(X))<=>~generous(X)))&
(![X]:((~creative(X)&funny(X))=>(~curious(X)|calm(X))))&... | ~funny(alice) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 302777507932812947650426
% SZS output start Proof for 302777507932812947650426
10. ! [X0] : (~happy(X0) <=> funny(X0)) [input p9]
18. ~brave(alice) & ~happy(alice) [input p17]
24. ~funny(alice) [input hypothesis]
59. ! [X0] : ((~happy(X0) | ~funny(X0)) & (funny(X0) | happy(X0))) [nnf tran... | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Lucy is not brave. | entailment | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | ~brave(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 179757311199217559804589
% SZS output start Proof for 179757311199217559804589
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> (~... | 0 |
If fred is brave then susan is both not kind and funny and vice versa.
Everyone who is either not happy or not generous is not kind or not funny and vice versa.
If someone is not quiet or strong then john is both not calm and happy and vice versa.
Everyone who is strong is both humble and patient.
If someone is not hap... | Alice is not brave. | contradiction | ((brave(fred))<=>((~kind(susan)&funny(susan))))&
(![X]:((~happy(X)<~>~generous(X))<=>(~kind(X)|~funny(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>((~calm(john)&happy(john))))&
(![X]:(strong(X)=>(humble(X)&patient(X))))&
((?[X]:(~happy(X)))=>(?[X]:(~wise(X))))&
(((quiet(alice)&~kind(alice)))=>(?[X]:(~rich(X))))&
(((happy(l... | ~brave(alice) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6082672851357570813426586
% SZS output start Proof for 6082672851357570813426586
4. ! [X0] : (strong(X0) => (patient(X0) & humble(X0))) [input p3]
10. ! [X0] : ((wise(X0) | ~quiet(X0)) => (patient(X0) <~> ~quiet(X0))) [input p9]
13. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (happy(X0) & bra... | 0 |
Everyone who is either not rich or old is either rich or not old.
Everyone who is not calm is both not happy and patient.
If someone is either not brave or brave then john is wise.
Everyone who is tall or creative is both calm and not patient.
Everyone who is not brave is both brave and not curious and vice versa.
If l... | John is wise. | entailment | (![X]:((~rich(X)<~>old(X))=>(rich(X)<~>~old(X))))&
(![X]:(~calm(X)=>(~happy(X)&patient(X))))&
((?[X]:((~brave(X)<~>brave(X))))=>(wise(john)))&
(![X]:((tall(X)|creative(X))=>(calm(X)&~patient(X))))&
(![X]:(~brave(X)<=>(brave(X)&~curious(X))))&
(((~strong(lucy)&quiet(lucy)))<=>(~brave(lucy)))&
(![X]:((humble(X)<~>patient... | wise(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2802562312988091880782399
% SZS output start Proof for 2802562312988091880782399
3. ? [X0] : (~brave(X0) <~> brave(X0)) => wise(john) [input p2]
5. ! [X0] : (~brave(X0) <=> (~curious(X0) & brave(X0))) [input p4]
24. ~wise(john) [input hypothesis]
30. wise(john) | ! [X0] : (~brave(X0) <=> ... | 0 |
Everyone who is both not curious and rich is either strong or not generous and vice versa. If someone is both rich and not calm then lucy is either strong or curious. If mary is not wise then someone is not tall or kind. Everyone who is not humble is tall or not happy. If someone is both strong and quiet then susan is ... | Lucy is generous. | contradiction | (![X]:((~curious(X)&rich(X))<=>(strong(X)<~>~generous(X))))&
((?[X]:((rich(X)&~calm(X))))=>((strong(lucy)<~>curious(lucy))))&
((~wise(mary))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(~humble(X)=>(tall(X)|~happy(X))))&
((?[X]:((strong(X)&quiet(X))))<=>(happy(susan)))&
(![X]:(quiet(X)=>(~wise(X)|~rich(X))))&
(![X]:((~rich(X)... | generous(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1581407574266400863712681
% SZS output start Proof for 1581407574266400863712681
1. ! [X0] : ((rich(X0) & ~curious(X0)) <=> (strong(X0) <~> ~generous(X0))) [input p0]
2. ? [X0] : (~calm(X0) & rich(X0)) => (strong(lucy) <~> curious(lucy)) [input p1]
5. ? [X0] : (quiet(X0) & strong(X0)) <=>... | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | Alice is humble. | entailment | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | humble(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4995327239108515484310288
% SZS output start Proof for 4995327239108515484310288
7. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [input p6]
19. ~humble(alice) [input hypothesis]
46. ! [X0] : (((~tall(X0) | ~humble(X0)) | (happy(X0) | ~humble(X0))) & ((~happy(X0) & hu... | 0 |
Everyone who is not rich or brave is not patient.
Everyone who is either not tall or not calm is not old or brave and vice versa.
If someone is either old or not patient then john is brave.
If someone is either calm or brave then alice is not patient or not wise.
Everyone who is not kind or not strong is either old or ... | Susan is not strong. | contradiction | (![X]:((~rich(X)|brave(X))=>~patient(X)))&
(![X]:((~tall(X)<~>~calm(X))<=>(~old(X)|brave(X))))&
((?[X]:((old(X)<~>~patient(X))))=>(brave(john)))&
((?[X]:((calm(X)<~>brave(X))))=>((~patient(alice)|~wise(alice))))&
(![X]:((~kind(X)|~strong(X))<=>(old(X)<~>tall(X))))&
((?[X]:(~patient(X)))=>(strong(susan)))&
((?[X]:(~crea... | ~strong(susan) | [
"p0",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8788974806260709416450885
% SZS output start Proof for 8788974806260709416450885
1. ! [X0] : ((brave(X0) | ~rich(X0)) => ~patient(X0)) [input p0]
6. ? [X0] : ~patient(X0) => strong(susan) [input p5]
14. ? [X0] : rich(X0) => (~patient(alice) & wise(alice)) [input p13]
25. ~strong(susan) [i... | 0 |
Everyone who is not patient or wise is both old and not rich. If paul is either not happy or quiet then alice is not wise. Everyone who is not brave is both not calm and not old and vice versa. Everyone who is both curious and not generous is either rich or kind and vice versa. If someone is rich or not wise then john ... | John is not curious. | neutral | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(((~happy(paul)<~>quiet(paul)))=>(~wise(alice)))&
(![X]:(~brave(X)<=>(~calm(X)&~old(X))))&
(![X]:((curious(X)&~generous(X))<=>(rich(X)<~>kind(X))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))... | ~curious(john) | [] | null | 0 |
If someone is either not rich or kind then lucy is kind or not calm. Everyone who is both creative and strong is both not funny and funny and vice versa. Everyone who is wise is both kind and patient. Everyone who is not kind is happy. If john is not brave or kind then lucy is either tall or rich and vice versa. If mar... | Mary is not kind. | contradiction | ((?[X]:((~rich(X)<~>kind(X))))=>((kind(lucy)|~calm(lucy))))&
(![X]:((creative(X)&strong(X))<=>(~funny(X)&funny(X))))&
(![X]:(wise(X)=>(kind(X)&patient(X))))&
(![X]:(~kind(X)=>happy(X)))&
(((~brave(john)|kind(john)))<=>((tall(lucy)<~>rich(lucy))))&
(((funny(mary)<~>~kind(mary)))<=>(?[X]:(~brave(X))))&
((?[X]:((~kind(X)&... | ~kind(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1690613523686901146724660
% SZS output start Proof for 1690613523686901146724660
21. kind(mary) & strong(mary) [input p20]
25. ~kind(mary) [input hypothesis]
139. kind(mary) [cnf transformation 21]
144. ~kind(mary) [cnf transformation 25]
176. 7 <=> kind(mary) [avatar definition]
320. 7 [... | 0 |
If someone is both curious and creative then mary is either not wise or generous and vice versa. Everyone who is kind is both not quiet and quiet and vice versa. If someone is both wise and kind then fred is either patient or kind and vice versa. Everyone who is not kind is either not old or quiet. If someone is either... | Mary is not humble. | entailment | ((?[X]:((curious(X)&creative(X))))<=>((~wise(mary)<~>generous(mary))))&
(![X]:(kind(X)<=>(~quiet(X)&quiet(X))))&
((?[X]:((wise(X)&kind(X))))<=>((patient(fred)<~>kind(fred))))&
(![X]:(~kind(X)=>(~old(X)<~>quiet(X))))&
((?[X]:((wise(X)<~>funny(X))))=>(?[X]:((brave(X)<~>humble(X)))))&
((?[X]:((~curious(X)&~old(X))))<=>(?[... | ~humble(mary) | [
"p1",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 43804507807840949164031
% SZS output start Proof for 43804507807840949164031
2. ! [X0] : (kind(X0) <=> (quiet(X0) & ~quiet(X0))) [input p1]
12. (humble(fred) & strong(fred)) <=> (generous(mary) & humble(mary)) [input p11]
13. ! [X0] : ((strong(X0) | old(X0)) <=> (humble(X0) <~> ~kind(X0))... | 0 |
If lucy is either funny or kind then fred is both humble and not wise.
Everyone who is both not quiet and not kind is both creative and not tall.
If someone is not creative then someone is either funny or strong.
Everyone who is both brave and not curious is quiet or wise and vice versa.
If someone is both humble and n... | John is wise. | contradiction | (((funny(lucy)<~>kind(lucy)))=>((humble(fred)&~wise(fred))))&
(![X]:((~quiet(X)&~kind(X))=>(creative(X)&~tall(X))))&
((?[X]:(~creative(X)))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:((brave(X)&~curious(X))<=>(quiet(X)|wise(X))))&
((?[X]:((humble(X)&~kind(X))))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((~funny(X)<~>~h... | wise(john) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6486882091659845277442753
% SZS output start Proof for 6486882091659845277442753
4. ! [X0] : ((~curious(X0) & brave(X0)) <=> (wise(X0) | quiet(X0))) [input p3]
10. (quiet(john) & ~quiet(john)) <=> ? [X0] : brave(X0) [input p9]
25. wise(john) [input hypothesis]
43. ! [X0] : (((~curious(X0)... | 0 |
If mary is calm or funny then mary is not creative.
Everyone who is both old and not quiet is both calm and old and vice versa.
If someone is either strong or wise then someone is not quiet and vice versa.
Everyone who is either not funny or quiet is both not quiet and old and vice versa.
Everyone who is either old or ... | Susan is not strong. | contradiction | (((calm(mary)|funny(mary)))=>(~creative(mary)))&
(![X]:((old(X)&~quiet(X))<=>(calm(X)&old(X))))&
((?[X]:((strong(X)<~>wise(X))))<=>(?[X]:(~quiet(X))))&
(![X]:((~funny(X)<~>quiet(X))<=>(~quiet(X)&old(X))))&
(![X]:((old(X)<~>~old(X))<=>(tall(X)<~>~curious(X))))&
((?[X]:((old(X)&~old(X))))<=>((~strong(alice)&~tall(alice))... | ~strong(susan) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7006935766233673110130361
% SZS output start Proof for 7006935766233673110130361
20. strong(susan) [input p19]
24. ~strong(susan) [input hypothesis]
132. strong(susan) [cnf transformation 20]
136. ~strong(susan) [cnf transformation 24]
237. $false [subsumption resolution 136,132]
% SZS ou... | 0 |
Everyone who is kind or happy is tall and vice versa. If john is both curious and not generous then someone is not curious and vice versa. If someone is not tall then someone is both brave and not humble and vice versa. If fred is not kind or kind then alice is not happy or funny and vice versa. Everyone who is not wis... | Paul is happy. | neutral | (![X]:((kind(X)|happy(X))<=>tall(X)))&
(((curious(john)&~generous(john)))<=>(?[X]:(~curious(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((brave(X)&~humble(X)))))&
(((~kind(fred)|kind(fred)))<=>((~happy(alice)|funny(alice))))&
(![X]:(~wise(X)<=>(~generous(X)&humble(X))))&
(![X]:(~funny(X)<=>(~kind(X)&~old(X))))&
(![X]:((~creative... | happy(paul) | [] | null | 0 |
If susan is either patient or not funny then alice is both strong and happy.
If mary is not rich or happy then someone is not patient and vice versa.
Everyone who is strong is not rich or quiet and vice versa.
If someone is kind then lucy is both quiet and happy and vice versa.
Everyone who is both old and not strong i... | Alice is calm. | entailment | (((patient(susan)<~>~funny(susan)))=>((strong(alice)&happy(alice))))&
(((~rich(mary)|happy(mary)))<=>(?[X]:(~patient(X))))&
(![X]:(strong(X)<=>(~rich(X)|quiet(X))))&
((?[X]:(kind(X)))<=>((quiet(lucy)&happy(lucy))))&
(![X]:((old(X)&~strong(X))=>(~funny(X)<~>patient(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~wise(X)<~>~... | calm(alice) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 128891324940100211471441
% SZS output start Proof for 128891324940100211471441
15. ! [X0] : ((~happy(X0) | humble(X0)) <=> calm(X0)) [input p14]
16. ! [X0] : (happy(X0) <=> (~strong(X0) & calm(X0))) [input p15]
25. ~calm(alice) [input hypothesis]
61. ! [X0] : (((~happy(X0) | humble(X0)) |... | 0 |
If paul is either humble or not creative then john is both kind and not happy.
Everyone who is either not creative or kind is not calm.
If susan is either patient or not wise then mary is not wise or curious.
If mary is not funny or not calm then susan is not curious.
If someone is not strong then fred is both generous... | Lucy is not generous. | contradiction | (((humble(paul)<~>~creative(paul)))=>((kind(john)&~happy(john))))&
(![X]:((~creative(X)<~>kind(X))=>~calm(X)))&
(((patient(susan)<~>~wise(susan)))=>((~wise(mary)|curious(mary))))&
(((~funny(mary)|~calm(mary)))=>(~curious(susan)))&
((?[X]:(~strong(X)))<=>((generous(fred)&kind(fred))))&
(![X]:((~quiet(X)&creative(X))=>(f... | ~generous(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8881071748065112219139149
% SZS output start Proof for 8881071748065112219139149
22. generous(lucy) & funny(lucy) [input p21]
24. ~generous(lucy) [input hypothesis]
149. generous(lucy) [cnf transformation 22]
151. ~generous(lucy) [cnf transformation 24]
403. $false [subsumption resolution... | 0 |
If mary is either rich or not funny then someone is either not curious or strong and vice versa. If john is either not tall or not old then someone is both not curious and not creative. Everyone who is not strong or not humble is kind. If fred is either not quiet or not calm then fred is creative or not kind. If mary i... | Mary is creative. | contradiction | (((rich(mary)<~>~funny(mary)))<=>(?[X]:((~curious(X)<~>strong(X)))))&
(((~tall(john)<~>~old(john)))=>(?[X]:((~curious(X)&~creative(X)))))&
(![X]:((~strong(X)|~humble(X))=>kind(X)))&
(((~quiet(fred)<~>~calm(fred)))=>((creative(fred)|~kind(fred))))&
(((curious(mary)<~>calm(mary)))<=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>... | creative(mary) | [
"p4",
"p5",
"p7",
"p8",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1627307867321172298920308
% SZS output start Proof for 1627307867321172298920308
5. (curious(mary) <~> calm(mary)) <=> ? [X0] : ~calm(X0) [input p4]
6. ! [X0] : (~tall(X0) <=> (~curious(X0) <~> ~creative(X0))) [input p5]
8. ! [X0] : (calm(X0) <=> (~quiet(X0) & ~old(X0))) [input p7]
9. ! [... | 0 |
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