premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If lucy is both strong and funny then someone is not patient and vice versa.
If mary is curious then someone is not curious.
Everyone who is generous or humble is not rich or old and vice versa.
If mary is either not funny or funny then someone is not brave and vice versa.
Everyone who is curious is either not patient ... | Paul is generous. | neutral | (((strong(lucy)&funny(lucy)))<=>(?[X]:(~patient(X))))&
((curious(mary))=>(?[X]:(~curious(X))))&
(![X]:((generous(X)|humble(X))<=>(~rich(X)|old(X))))&
(((~funny(mary)<~>funny(mary)))<=>(?[X]:(~brave(X))))&
(![X]:(curious(X)=>(~patient(X)<~>~rich(X))))&
(![X]:(old(X)<=>(tall(X)|brave(X))))&
(((funny(mary)|~rich(mary)))=>... | generous(paul) | [] | null | 0 |
Everyone who is generous is both not creative and quiet and vice versa.
If someone is kind then someone is not funny and vice versa.
If someone is either not generous or wise then mary is brave.
If alice is patient then someone is strong or not tall.
Everyone who is either not wise or not funny is either tall or not fu... | Lucy is not kind. | neutral | (![X]:(generous(X)<=>(~creative(X)&quiet(X))))&
((?[X]:(kind(X)))<=>(?[X]:(~funny(X))))&
((?[X]:((~generous(X)<~>wise(X))))=>(brave(mary)))&
((patient(alice))=>(?[X]:((strong(X)|~tall(X)))))&
(![X]:((~wise(X)<~>~funny(X))<=>(tall(X)<~>~funny(X))))&
(![X]:((happy(X)|tall(X))=>tall(X)))&
((?[X]:((curious(X)<~>calm(X))))=... | ~kind(lucy) | [] | null | 0 |
Everyone who is both quiet and not funny is happy and vice versa. If someone is calm then john is not tall or not patient. Everyone who is humble is curious or not wise. Everyone who is either not strong or kind is not humble or not creative. If someone is not rich or generous then fred is either not humble or not stro... | Alice is not calm. | neutral | (![X]:((quiet(X)&~funny(X))<=>happy(X)))&
((?[X]:(calm(X)))=>((~tall(john)|~patient(john))))&
(![X]:(humble(X)=>(curious(X)|~wise(X))))&
(![X]:((~strong(X)<~>kind(X))=>(~humble(X)|~creative(X))))&
((?[X]:((~rich(X)|generous(X))))<=>((~humble(fred)<~>~strong(fred))))&
(![X]:((calm(X)|~patient(X))=>~quiet(X)))&
((kind(ma... | ~calm(alice) | [] | null | 0 |
Everyone who is either not creative or not funny is either not brave or not calm.
Everyone who is rich or not rich is either creative or happy and vice versa.
If fred is either not quiet or generous then lucy is humble.
If mary is not generous or curious then someone is both not creative and tall and vice versa.
Everyo... | John is strong. | contradiction | (![X]:((~creative(X)<~>~funny(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((rich(X)|~rich(X))<=>(creative(X)<~>happy(X))))&
(((~quiet(fred)<~>generous(fred)))=>(humble(lucy)))&
(((~generous(mary)|curious(mary)))<=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((curious(X)<~>wise(X))<=>(~old(X)<~>brave(X))))&
(![X]:(happy(X)=>(~curi... | strong(john) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 647962824379872047796979
% SZS output start Proof for 647962824379872047796979
10. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (quiet(X0) <~> curious(X0))) [input p9]
12. ! [X0] : (wise(X0) <=> (quiet(X0) <~> ~curious(X0))) [input p11]
25. strong(john) [input hypothesis]
53. ! [X0] : (((wise(X... | 0 |
If someone is wise or humble then someone is kind.
Everyone who is either calm or not curious is not tall.
Everyone who is either humble or not happy is either quiet or not tall and vice versa.
If fred is not humble or humble then lucy is not curious or curious and vice versa.
If susan is tall or not creative then mary... | Mary is not curious. | neutral | ((?[X]:((wise(X)|humble(X))))=>(?[X]:(kind(X))))&
(![X]:((calm(X)<~>~curious(X))=>~tall(X)))&
(![X]:((humble(X)<~>~happy(X))<=>(quiet(X)<~>~tall(X))))&
(((~humble(fred)|humble(fred)))<=>((~curious(lucy)|curious(lucy))))&
(((tall(susan)|~creative(susan)))=>((~wise(mary)<~>rich(mary))))&
(![X]:((~creative(X)|quiet(X))=>(... | ~curious(mary) | [] | null | 0 |
If alice is not rich or tall then someone is not brave and vice versa. Everyone who is either not old or not rich is both brave and not rich and vice versa. Everyone who is both curious and not kind is both not calm and not happy and vice versa. Everyone who is rich or curious is not tall or wise and vice versa. If som... | Mary is funny. | neutral | (((~rich(alice)|tall(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(brave(X)&~rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(~calm(X)&~happy(X))))&
(![X]:((rich(X)|curious(X))<=>(~tall(X)|wise(X))))&
((?[X]:((happy(X)|tall(X))))<=>(rich(alice)))&
((?[X]:((calm(X)&old(X))))=>(?[X]:(patient(X))))&
(((wise(ma... | funny(mary) | [] | null | 0 |
If susan is curious then john is not brave and vice versa.
Everyone who is not patient is humble.
If someone is calm or not brave then lucy is not patient or curious and vice versa.
Everyone who is not funny or kind is not calm or not brave and vice versa.
If someone is quiet then john is both not curious and not happy... | John is quiet. | contradiction | ((curious(susan))<=>(~brave(john)))&
(![X]:(~patient(X)=>humble(X)))&
((?[X]:((calm(X)|~brave(X))))<=>((~patient(lucy)|curious(lucy))))&
(![X]:((~funny(X)|kind(X))<=>(~calm(X)|~brave(X))))&
((?[X]:(quiet(X)))<=>((~curious(john)&~happy(john))))&
((?[X]:((~creative(X)|~strong(X))))=>(?[X]:((~strong(X)<~>happy(X)))))&
((?... | quiet(john) | [
"p4",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1491860784295387546495700
% SZS output start Proof for 1491860784295387546495700
5. ? [X0] : quiet(X0) <=> (~happy(john) & ~curious(john)) [input p4]
13. ! [X0] : ((happy(X0) | ~curious(X0)) => generous(X0)) [input p12]
16. ! [X0] : ((strong(X0) | generous(X0)) => ~quiet(X0)) [input p15]
... | 0 |
Everyone who is either creative or not humble is either strong or not tall.
Everyone who is not quiet is either old or kind and vice versa.
If someone is both rich and not old then alice is strong or tall and vice versa.
If mary is not brave then someone is happy or not tall and vice versa.
If someone is happy then som... | Lucy is not wise. | contradiction | (![X]:((creative(X)<~>~humble(X))=>(strong(X)<~>~tall(X))))&
(![X]:(~quiet(X)<=>(old(X)<~>kind(X))))&
((?[X]:((rich(X)&~old(X))))<=>((strong(alice)|tall(alice))))&
((~brave(mary))<=>(?[X]:((happy(X)|~tall(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~wise(X)|humble(X))<=>(quiet(X)&humble(X))))&
... | ~wise(lucy) | [
"p5",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 53222110550577672384607
% SZS output start Proof for 53222110550577672384607
6. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (humble(X0) & quiet(X0))) [input p5]
11. ! [X0] : ((~quiet(X0) | happy(X0)) => (~quiet(X0) & calm(X0))) [input p10]
22. happy(lucy) [input p21]
25. ~wise(lucy) [input hyp... | 0 |
If someone is either not wise or not generous then fred is both not brave and not generous and vice versa. If someone is either strong or not patient then fred is either funny or not patient. Everyone who is either not happy or curious is either rich or not calm and vice versa. Everyone who is not wise or not curious i... | Alice is not happy. | contradiction | ((?[X]:((~wise(X)<~>~generous(X))))<=>((~brave(fred)&~generous(fred))))&
((?[X]:((strong(X)<~>~patient(X))))=>((funny(fred)<~>~patient(fred))))&
(![X]:((~happy(X)<~>curious(X))<=>(rich(X)<~>~calm(X))))&
(![X]:((~wise(X)|~curious(X))<=>(curious(X)|calm(X))))&
(![X]:((kind(X)|old(X))=>(calm(X)|~old(X))))&
((?[X]:(creativ... | ~happy(alice) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 861174066862858576047044
% SZS output start Proof for 861174066862858576047044
6. ? [X0] : creative(X0) => ? [X0] : (~patient(X0) & patient(X0)) [input p5]
14. ? [X0] : ~happy(X0) <=> (creative(mary) & ~calm(mary)) [input p13]
21. ~happy(alice) [input hypothesis]
22. ? [X0] : creative(X0)... | 0 |
If alice is both patient and not funny then someone is brave and vice versa. Everyone who is both wise and old is both not humble and not wise. If someone is calm or rich then someone is not wise or not quiet and vice versa. Everyone who is not tall is not funny and vice versa. If someone is either curious or not happy... | Alice is old. | contradiction | (((patient(alice)&~funny(alice)))<=>(?[X]:(brave(X))))&
(![X]:((wise(X)&old(X))=>(~humble(X)&~wise(X))))&
((?[X]:((calm(X)|rich(X))))<=>(?[X]:((~wise(X)|~quiet(X)))))&
(![X]:(~tall(X)<=>~funny(X)))&
((?[X]:((curious(X)<~>~happy(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(((~funny(fred)<~>~generous(fred)))<=>(?[X]:((~humb... | old(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 628125855030454836445819
% SZS output start Proof for 628125855030454836445819
21. ~old(alice) [input p20]
25. old(alice) [input hypothesis]
134. ~old(alice) [cnf transformation 21]
140. old(alice) [cnf transformation 25]
254. 26 <=> old(alice) [avatar definition]
339. ~26 [avatar split c... | 0 |
Everyone who is both not patient and wise is quiet or happy and vice versa.
If someone is kind then someone is not brave.
If john is not happy or tall then someone is not calm or not kind and vice versa.
If someone is either generous or not rich then lucy is both not creative and not patient and vice versa.
Everyone wh... | Fred is wise. | entailment | (![X]:((~patient(X)&wise(X))<=>(quiet(X)|happy(X))))&
((?[X]:(kind(X)))=>(?[X]:(~brave(X))))&
(((~happy(john)|tall(john)))<=>(?[X]:((~calm(X)|~kind(X)))))&
((?[X]:((generous(X)<~>~rich(X))))<=>((~creative(lucy)&~patient(lucy))))&
(![X]:((strong(X)&funny(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(~humble(X)=>~happy(X)))&
... | wise(fred) | [
"p0",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1394997789547560300358343
% SZS output start Proof for 1394997789547560300358343
1. ! [X0] : ((wise(X0) & ~patient(X0)) <=> (happy(X0) | quiet(X0))) [input p0]
10. ! [X0] : ((~brave(X0) | old(X0)) => happy(X0)) [input p9]
12. ? [X0] : (~brave(X0) & brave(X0)) <=> ? [X0] : (~wise(X0) <~> o... | 0 |
If someone is brave then alice is both not funny and wise and vice versa. If lucy is not curious then someone is both funny and not kind. Everyone who is not kind or calm is old or wise and vice versa. If john is not strong or not rich then alice is either calm or not happy. Everyone who is not humble is both generous ... | John is not kind. | entailment | ((?[X]:(brave(X)))<=>((~funny(alice)&wise(alice))))&
((~curious(lucy))=>(?[X]:((funny(X)&~kind(X)))))&
(![X]:((~kind(X)|calm(X))<=>(old(X)|wise(X))))&
(((~strong(john)|~rich(john)))=>((calm(alice)<~>~happy(alice))))&
(![X]:(~humble(X)=>(generous(X)&creative(X))))&
((?[X]:((~quiet(X)|rich(X))))=>(?[X]:(creative(X))))&
(... | ~kind(john) | [
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6137289846209954610761123
% SZS output start Proof for 6137289846209954610761123
5. ! [X0] : (~humble(X0) => (creative(X0) & generous(X0))) [input p4]
10. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (generous(X0) | calm(X0))) [input p9]
11. ? [X0] : (creative(X0) | generous(X0)) => ? [X0] : (fun... | 0 |
If someone is either not generous or calm then someone is either patient or generous and vice versa.
Everyone who is not generous or not curious is not strong.
If someone is both happy and not wise then paul is curious and vice versa.
Everyone who is not humble is not happy.
If lucy is curious then alice is both not cr... | Lucy is not creative. | entailment | ((?[X]:((~generous(X)<~>calm(X))))<=>(?[X]:((patient(X)<~>generous(X)))))&
(![X]:((~generous(X)|~curious(X))=>~strong(X)))&
((?[X]:((happy(X)&~wise(X))))<=>(curious(paul)))&
(![X]:(~humble(X)=>~happy(X)))&
((curious(lucy))<=>((~creative(alice)&~patient(alice))))&
(![X]:((creative(X)&~calm(X))=>(~creative(X)&wise(X))))&... | ~creative(lucy) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5530765532161697560512433
% SZS output start Proof for 5530765532161697560512433
6. ! [X0] : ((~calm(X0) & creative(X0)) => (wise(X0) & ~creative(X0))) [input p5]
12. ! [X0] : ((calm(X0) | ~funny(X0)) <=> (~creative(X0) & old(X0))) [input p11]
24. creative(lucy) [input hypothesis]
28. ! [... | 0 |
Everyone who is both not kind and not generous is either not kind or not quiet.
Everyone who is not humble is not funny.
Everyone who is quiet or funny is not brave.
If someone is quiet or not calm then someone is either not old or not tall.
Everyone who is not patient or wise is curious or not quiet.
If someone is gen... | Lucy is brave. | neutral | (![X]:((~kind(X)&~generous(X))=>(~kind(X)<~>~quiet(X))))&
(![X]:(~humble(X)=>~funny(X)))&
(![X]:((quiet(X)|funny(X))=>~brave(X)))&
((?[X]:((quiet(X)|~calm(X))))=>(?[X]:((~old(X)<~>~tall(X)))))&
(![X]:((~patient(X)|wise(X))=>(curious(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>((old(mary)&~humble(mary))))&
(((~quiet(lucy)&... | brave(lucy) | [] | null | 0 |
If someone is both not calm and happy then paul is either not funny or calm. Everyone who is both patient and not kind is either kind or funny and vice versa. Everyone who is not brave or not tall is either strong or humble. If mary is not old then someone is either funny or kind. Everyone who is not humble is both not... | Alice is old. | contradiction | ((?[X]:((~calm(X)&happy(X))))=>((~funny(paul)<~>calm(paul))))&
(![X]:((patient(X)&~kind(X))<=>(kind(X)<~>funny(X))))&
(![X]:((~brave(X)|~tall(X))=>(strong(X)<~>humble(X))))&
((~old(mary))=>(?[X]:((funny(X)<~>kind(X)))))&
(![X]:(~humble(X)=>(~old(X)&~humble(X))))&
(![X]:((quiet(X)|generous(X))=>(kind(X)|~calm(X))))&
((?... | old(alice) | [
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8525670853705246328197762
% SZS output start Proof for 8525670853705246328197762
5. ! [X0] : (~humble(X0) => (~humble(X0) & ~old(X0))) [input p4]
8. ! [X0] : ((humble(X0) | ~rich(X0)) => ~kind(X0)) [input p7]
18. kind(alice) <~> ~humble(alice) [input p17]
25. old(alice) [input hypothesis]... | 0 |
If john is both rich and humble then fred is not happy or old.
Everyone who is not funny is either not happy or old.
Everyone who is both brave and kind is either wise or not generous and vice versa.
Everyone who is not wise is kind and vice versa.
Everyone who is either calm or happy is both not creative and not tall.... | Alice is strong. | contradiction | (((rich(john)&humble(john)))=>((~happy(fred)|old(fred))))&
(![X]:(~funny(X)=>(~happy(X)<~>old(X))))&
(![X]:((brave(X)&kind(X))<=>(wise(X)<~>~generous(X))))&
(![X]:(~wise(X)<=>kind(X)))&
(![X]:((calm(X)<~>happy(X))=>(~creative(X)&~tall(X))))&
(![X]:((~kind(X)&~quiet(X))=>calm(X)))&
((~calm(john))=>((~rich(alice)<~>~quie... | strong(alice) | [
"p2",
"p3",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5959411975830871791320143
% SZS output start Proof for 5959411975830871791320143
3. ! [X0] : ((kind(X0) & brave(X0)) <=> (wise(X0) <~> ~generous(X0))) [input p2]
4. ! [X0] : (~wise(X0) <=> kind(X0)) [input p3]
16. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~strong(X0) <~> generous(X0))) ... | 0 |
If someone is not happy then someone is tall. Everyone who is both kind and not generous is either not brave or not generous and vice versa. Everyone who is generous is not brave and vice versa. If lucy is generous then john is creative. If fred is generous then someone is both creative and not strong. Everyone who is ... | Lucy is not quiet. | neutral | ((?[X]:(~happy(X)))=>(?[X]:(tall(X))))&
(![X]:((kind(X)&~generous(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:(generous(X)<=>~brave(X)))&
((generous(lucy))=>(creative(john)))&
((generous(fred))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&tall(X))=>(brave(X)&strong(X))))&
((?[X]:((~humble(X)|~old(X))))<=>((~qui... | ~quiet(lucy) | [] | null | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either happy or not generous and vice versa.
Everyone who is both tall and generous is not happy or not kind and vice versa.
Everyone who is both not funny and brave is creative and vice versa.
If someon... | Fred is kind. | entailment | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((happy(paul)<~>~generous(paul))))&
(![X]:((tall(X)&generous(X))<=>(~happy(X)|~kind(X))))&
(![X]:((~funny(X)&brave(X))<=>creative(X)))&
((?[X]:((~generous(X)|strong(X))))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((~happy(lucy)|humble(l... | kind(fred) | [
"p1",
"p2",
"p8",
"p9",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4820016775909345940599895
% SZS output start Proof for 4820016775909345940599895
2. ? [X0] : (~generous(X0) | ~happy(X0)) <=> (happy(paul) <~> ~generous(paul)) [input p1]
3. ! [X0] : ((generous(X0) & tall(X0)) <=> (~kind(X0) | ~happy(X0))) [input p2]
9. ! [X0] : ((~happy(X0) <~> ~strong(X... | 0 |
If mary is both not humble and not brave then mary is both not tall and curious.
Everyone who is both not rich and not creative is either not humble or humble and vice versa.
If someone is curious then someone is either not quiet or not generous.
If someone is either not rich or patient then paul is either funny or not... | Paul is quiet. | neutral | (((~humble(mary)&~brave(mary)))=>((~tall(mary)&curious(mary))))&
(![X]:((~rich(X)&~creative(X))<=>(~humble(X)<~>humble(X))))&
((?[X]:(curious(X)))=>(?[X]:((~quiet(X)<~>~generous(X)))))&
((?[X]:((~rich(X)<~>patient(X))))<=>((funny(paul)<~>~curious(paul))))&
(((quiet(paul)<~>~wise(paul)))<=>(?[X]:((generous(X)&brave(X)))... | quiet(paul) | [] | null | 0 |
If someone is not happy or not wise then paul is either patient or generous and vice versa. If mary is old then lucy is not happy or brave. Everyone who is tall or not old is not generous. Everyone who is both not curious and not wise is quiet or generous and vice versa. If fred is both patient and curious then someone... | John is brave. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((patient(paul)<~>generous(paul))))&
((old(mary))=>((~happy(lucy)|brave(lucy))))&
(![X]:((tall(X)|~old(X))=>~generous(X)))&
(![X]:((~curious(X)&~wise(X))<=>(quiet(X)|generous(X))))&
(((patient(fred)&curious(fred)))=>(?[X]:(~funny(X))))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)&generous(X... | brave(john) | [
"p2",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 413795926806203613692146
% SZS output start Proof for 413795926806203613692146
3. ! [X0] : ((~old(X0) | tall(X0)) => ~generous(X0)) [input p2]
8. ! [X0] : (~funny(X0) => wise(X0)) [input p7]
9. (~generous(john) | ~brave(john)) <=> (~funny(susan) & ~creative(susan)) [input p8]
11. ? [X0] :... | 0 |
Everyone who is old or creative is both not happy and old. If someone is not creative or not brave then susan is not generous. If someone is either not rich or creative then john is not funny. Everyone who is calm is funny and vice versa. If someone is both rich and not patient then someone is not happy or quiet and vi... | John is not kind. | entailment | (![X]:((old(X)|creative(X))=>(~happy(X)&old(X))))&
((?[X]:((~creative(X)|~brave(X))))=>(~generous(susan)))&
((?[X]:((~rich(X)<~>creative(X))))=>(~funny(john)))&
(![X]:(calm(X)<=>funny(X)))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((~curious(X)&curious(X))=>(kind(X)<~>~kind(X))))&
(![X]:(... | ~kind(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 759332760986080317760266
% SZS output start Proof for 759332760986080317760266
11. ! [X0] : ((~funny(X0) | kind(X0)) <=> (~happy(X0) & ~kind(X0))) [input p10]
23. kind(john) [input hypothesis]
49. ! [X0] : (((~funny(X0) | kind(X0)) | (happy(X0) | kind(X0))) & ((~happy(X0) & ~kind(X0)) | (... | 0 |
Everyone who is not funny or not tall is both generous and brave and vice versa.
If mary is both not wise and old then fred is not happy and vice versa.
If someone is not kind then alice is both not quiet and not calm.
Everyone who is both not quiet and not strong is not patient or kind.
If lucy is not wise then someon... | Alice is patient. | contradiction | (![X]:((~funny(X)|~tall(X))<=>(generous(X)&brave(X))))&
(((~wise(mary)&old(mary)))<=>(~happy(fred)))&
((?[X]:(~kind(X)))=>((~quiet(alice)&~calm(alice))))&
(![X]:((~quiet(X)&~strong(X))=>(~patient(X)|kind(X))))&
((~wise(lucy))<=>(?[X]:(patient(X))))&
(![X]:((~patient(X)&~happy(X))<=>(funny(X)&creative(X))))&
(![X]:((~ki... | patient(alice) | [
"p4",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9179012104781389244791585
% SZS output start Proof for 9179012104781389244791585
5. ~wise(lucy) <=> ? [X0] : patient(X0) [input p4]
12. ~patient(alice) <=> ? [X0] : ~wise(X0) [input p11]
24. ~quiet(mary) & patient(mary) [input p23]
25. patient(alice) [input hypothesis]
39. (~wise(lucy) | ... | 0 |
If lucy is patient or not humble then someone is not brave or curious and vice versa.
If someone is creative then susan is either strong or calm and vice versa.
If someone is both not calm and rich then someone is not strong.
If alice is either rich or not humble then susan is not strong or not generous and vice versa.... | John is not strong. | neutral | (((patient(lucy)|~humble(lucy)))<=>(?[X]:((~brave(X)|curious(X)))))&
((?[X]:(creative(X)))<=>((strong(susan)<~>calm(susan))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:(~strong(X))))&
(((rich(alice)<~>~humble(alice)))<=>((~strong(susan)|~generous(susan))))&
(((generous(mary)&kind(mary)))=>((happy(mary)|~calm(mary))))&
((cre... | ~strong(john) | [] | null | 0 |
Everyone who is not strong or brave is quiet and vice versa.
If alice is either not strong or happy then someone is not kind.
Everyone who is either not tall or not brave is both not wise and not calm.
Everyone who is strong is not quiet or wise.
Everyone who is both not wise and not creative is both not patient and ol... | Mary is not creative. | contradiction | (![X]:((~strong(X)|brave(X))<=>quiet(X)))&
(((~strong(alice)<~>happy(alice)))=>(?[X]:(~kind(X))))&
(![X]:((~tall(X)<~>~brave(X))=>(~wise(X)&~calm(X))))&
(![X]:(strong(X)=>(~quiet(X)|wise(X))))&
(![X]:((~wise(X)&~creative(X))=>(~patient(X)&old(X))))&
((?[X]:(patient(X)))=>((calm(john)&~kind(john))))&
(![X]:(creative(X)=... | ~creative(mary) | [
"p0",
"p4",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8913104441295432424288882
% SZS output start Proof for 8913104441295432424288882
1. ! [X0] : ((brave(X0) | ~strong(X0)) <=> quiet(X0)) [input p0]
5. ! [X0] : ((~creative(X0) & ~wise(X0)) => (old(X0) & ~patient(X0))) [input p4]
11. ! [X0] : (~patient(X0) => quiet(X0)) [input p10]
12. ! [X0... | 0 |
If someone is not humble then john is not creative or patient.
Everyone who is patient is calm and vice versa.
If john is patient or humble then john is not patient.
If paul is either humble or not patient then someone is not calm.
If john is either not happy or rich then someone is old or not strong and vice versa.
Ev... | John is happy. | entailment | ((?[X]:(~humble(X)))=>((~creative(john)|patient(john))))&
(![X]:(patient(X)<=>calm(X)))&
(((patient(john)|humble(john)))=>(~patient(john)))&
(((humble(paul)<~>~patient(paul)))=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]... | happy(john) | [
"p4",
"p5",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3657533957663582085866141
% SZS output start Proof for 3657533957663582085866141
5. (~happy(john) <~> rich(john)) <=> ? [X0] : (~strong(X0) | old(X0)) [input p4]
6. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (rich(X0) & ~funny(X0))) [input p5]
18. ~happy(susan) [input p17]
21. old(susan) | ~... | 0 |
If fred is happy then someone is either not creative or tall.
Everyone who is not happy is rich and vice versa.
If someone is either not creative or curious then someone is not generous or curious and vice versa.
If someone is strong or not rich then fred is either not wise or not happy and vice versa.
If lucy is rich ... | Paul is strong. | contradiction | ((happy(fred))=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:(~happy(X)<=>rich(X)))&
((?[X]:((~creative(X)<~>curious(X))))<=>(?[X]:((~generous(X)|curious(X)))))&
((?[X]:((strong(X)|~rich(X))))<=>((~wise(fred)<~>~happy(fred))))&
((rich(lucy))=>((~calm(paul)<~>curious(paul))))&
(((calm(fred)&~creative(fred)))<=>((generous(a... | strong(paul) | [
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3146579772140946745652884
% SZS output start Proof for 3146579772140946745652884
14. ! [X0] : (strong(X0) <=> (wise(X0) & ~patient(X0))) [input p13]
15. ! [X0] : ((~kind(X0) | ~patient(X0)) => (~creative(X0) & humble(X0))) [input p14]
17. creative(paul) [input p16]
24. strong(paul) [input... | 0 |
Everyone who is both not calm and calm is not funny or not humble and vice versa.
Everyone who is generous or not patient is either quiet or not funny and vice versa.
If someone is either not quiet or not funny then alice is either not generous or not creative.
If someone is wise or not calm then someone is generous.
E... | John is not generous. | contradiction | (![X]:((~calm(X)&calm(X))<=>(~funny(X)|~humble(X))))&
(![X]:((generous(X)|~patient(X))<=>(quiet(X)<~>~funny(X))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>((~generous(alice)<~>~creative(alice))))&
((?[X]:((wise(X)|~calm(X))))=>(?[X]:(generous(X))))&
(![X]:((~patient(X)&humble(X))<=>(funny(X)<~>~kind(X))))&
((?[X]:((tall(X)|... | ~generous(john) | [
"p0",
"p1",
"p6",
"p8",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2712742163666320022154697
% SZS output start Proof for 2712742163666320022154697
1. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~humble(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~patient(X0) | generous(X0)) <=> (quiet(X0) <~> ~funny(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) & ~calm(X0)) <=> (... | 0 |
Everyone who is both quiet and kind is either not tall or brave and vice versa. If lucy is both not wise and not kind then someone is both creative and not strong. Everyone who is both not happy and not strong is not funny or not brave and vice versa. Everyone who is both humble and not patient is not kind and vice ver... | Fred is not creative. | entailment | (![X]:((quiet(X)&kind(X))<=>(~tall(X)<~>brave(X))))&
(((~wise(lucy)&~kind(lucy)))=>(?[X]:((creative(X)&~strong(X)))))&
(![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
((?[X]:((wise(X)|~humble(X))))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|h... | ~creative(fred) | [
"p2",
"p3",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3586660946537670656306790
% SZS output start Proof for 3586660946537670656306790
3. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~kind(X0)) [input p3]
10. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~c... | 0 |
If someone is not wise or generous then someone is not wise or not humble and vice versa.
If someone is both brave and not quiet then paul is happy or wise and vice versa.
Everyone who is both not funny and happy is not funny and vice versa.
Everyone who is old or kind is brave or funny.
If mary is either not happy or ... | Lucy is not old. | neutral | ((?[X]:((~wise(X)|generous(X))))<=>(?[X]:((~wise(X)|~humble(X)))))&
((?[X]:((brave(X)&~quiet(X))))<=>((happy(paul)|wise(paul))))&
(![X]:((~funny(X)&happy(X))<=>~funny(X)))&
(![X]:((old(X)|kind(X))=>(brave(X)|funny(X))))&
(((~happy(mary)<~>~funny(mary)))=>((~funny(fred)|old(fred))))&
((?[X]:((curious(X)<~>~happy(X))))<=... | ~old(lucy) | [] | null | 0 |
Everyone who is both not quiet and not strong is not wise and vice versa. Everyone who is either not rich or not quiet is both brave and curious. Everyone who is creative or patient is either not quiet or not brave and vice versa. Everyone who is not generous is not kind or not creative and vice versa. Everyone who is ... | Susan is quiet. | contradiction | (![X]:((~quiet(X)&~strong(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~quiet(X))=>(brave(X)&curious(X))))&
(![X]:((creative(X)|patient(X))<=>(~quiet(X)<~>~brave(X))))&
(![X]:(~generous(X)<=>(~kind(X)|~creative(X))))&
(![X]:((~patient(X)<~>~creative(X))<=>creative(X)))&
(![X]:((curious(X)&~quiet(X))<=>wise(X)))&
(![X]:((~rich(... | quiet(susan) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7716412403197455558160301
% SZS output start Proof for 7716412403197455558160301
1. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> ~wise(X0)) [input p0]
6. ! [X0] : ((~quiet(X0) & curious(X0)) <=> wise(X0)) [input p5]
23. quiet(susan) [input hypothesis]
33. ! [X0] : (((~strong(X0) & ~quiet(X0))... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa.
If paul is not wise or tall then fred is not strong.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or patient is both not brave and not tall.
Everyone who is creative is rich an... | Paul is generous. | entailment | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)... | generous(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1272404427803069556873733
% SZS output start Proof for 1272404427803069556873733
11. ! [X0] : ((~generous(X0) | ~curious(X0)) => generous(X0)) [input p10]
23. ~generous(paul) [input hypothesis]
29. ! [X0] : (generous(X0) | (generous(X0) & curious(X0))) [ennf transformation 11]
98. generou... | 0 |
If mary is happy then someone is brave.
Everyone who is humble is wise or not happy and vice versa.
Everyone who is rich or curious is both generous and not creative and vice versa.
Everyone who is either not wise or not humble is either curious or not funny and vice versa.
Everyone who is both rich and creative is eit... | Paul is not happy. | neutral | ((happy(mary))=>(?[X]:(brave(X))))&
(![X]:(humble(X)<=>(wise(X)|~happy(X))))&
(![X]:((rich(X)|curious(X))<=>(generous(X)&~creative(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(curious(X)<~>~funny(X))))&
(![X]:((rich(X)&creative(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((~rich(X)&calm(X))<=>(~kind(X)&~humble(X))))&
((~curious(p... | ~happy(paul) | [] | null | 0 |
Everyone who is not strong is both humble and not calm. Everyone who is not happy is creative or not wise and vice versa. If someone is not brave then lucy is not kind. Everyone who is either wise or curious is both not wise and not patient. If mary is either kind or not old then someone is calm or strong and vice vers... | Lucy is generous. | entailment | (![X]:(~strong(X)=>(humble(X)&~calm(X))))&
(![X]:(~happy(X)<=>(creative(X)|~wise(X))))&
((?[X]:(~brave(X)))=>(~kind(lucy)))&
(![X]:((wise(X)<~>curious(X))=>(~wise(X)&~patient(X))))&
(((kind(mary)<~>~old(mary)))<=>(?[X]:((calm(X)|strong(X)))))&
(![X]:((brave(X)<~>rich(X))=>(~old(X)&funny(X))))&
(((~generous(lucy)&~old(l... | generous(lucy) | [
"p5",
"p10",
"p11",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3515468447898751264925417
% SZS output start Proof for 3515468447898751264925417
6. ! [X0] : ((brave(X0) <~> rich(X0)) => (funny(X0) & ~old(X0))) [input p5]
11. ! [X0] : ((~kind(X0) | humble(X0)) => ~rich(X0)) [input p10]
12. ! [X0] : (~humble(X0) <=> (quiet(X0) <~> ~kind(X0))) [input p11... | 0 |
If mary is either not old or strong then mary is both not tall and not kind. Everyone who is either not calm or calm is calm. If fred is wise then john is not creative or humble. If someone is both not kind and curious then fred is not rich or not humble and vice versa. If john is not rich then someone is not curious. ... | Susan is not calm. | contradiction | (((~old(mary)<~>strong(mary)))=>((~tall(mary)&~kind(mary))))&
(![X]:((~calm(X)<~>calm(X))=>calm(X)))&
((wise(fred))=>((~creative(john)|humble(john))))&
((?[X]:((~kind(X)&curious(X))))<=>((~rich(fred)|~humble(fred))))&
((~rich(john))=>(?[X]:(~curious(X))))&
(![X]:((~strong(X)|calm(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:(... | ~calm(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6109171270712842301427859
% SZS output start Proof for 6109171270712842301427859
2. ! [X0] : ((~calm(X0) <~> calm(X0)) => calm(X0)) [input p1]
24. ~calm(susan) [input hypothesis]
28. ! [X0] : (calm(X0) | (~calm(X0) <=> calm(X0))) [ennf transformation 2]
41. ! [X0] : (calm(X0) | ((~calm(X0... | 0 |
If someone is both quiet and not strong then mary is funny. Everyone who is both quiet and happy is creative or not curious and vice versa. Everyone who is not happy or not humble is both creative and not curious. Everyone who is either funny or rich is either creative or kind and vice versa. If someone is either not b... | Mary is funny. | entailment | ((?[X]:((quiet(X)&~strong(X))))=>(funny(mary)))&
(![X]:((quiet(X)&happy(X))<=>(creative(X)|~curious(X))))&
(![X]:((~happy(X)|~humble(X))=>(creative(X)&~curious(X))))&
(![X]:((funny(X)<~>rich(X))<=>(creative(X)<~>kind(X))))&
((?[X]:((~brave(X)<~>~wise(X))))=>(?[X]:((~strong(X)<~>~calm(X)))))&
(((~calm(susan)&kind(susan)... | funny(mary) | [
"p0",
"p1",
"p2",
"p5",
"p11",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3707586803036515099677577
% SZS output start Proof for 3707586803036515099677577
1. ? [X0] : (~strong(X0) & quiet(X0)) => funny(mary) [input p0]
2. ! [X0] : ((happy(X0) & quiet(X0)) <=> (~curious(X0) | creative(X0))) [input p1]
3. ! [X0] : ((~humble(X0) | ~happy(X0)) => (~curious(X0) & cr... | 0 |
If fred is brave then someone is both tall and not brave and vice versa. Everyone who is patient or calm is creative or kind and vice versa. If someone is not old or strong then someone is rich or quiet. If someone is both not strong and not brave then john is happy. If someone is not generous then lucy is either not g... | Lucy is not kind. | entailment | ((brave(fred))<=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((patient(X)|calm(X))<=>(creative(X)|kind(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((rich(X)|quiet(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>((~generous(lucy)<~>patient(lucy))))&
(![X]:((~tall(X)<~>~generous(X))=>(humble(X... | ~kind(lucy) | [
"p1",
"p4",
"p7",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6880222751943882622960255
% SZS output start Proof for 6880222751943882622960255
2. ! [X0] : ((calm(X0) | patient(X0)) <=> (kind(X0) | creative(X0))) [input p1]
5. ? [X0] : ~generous(X0) <=> (~generous(lucy) <~> patient(lucy)) [input p4]
8. ! [X0] : (~creative(X0) <=> (strong(X0) & quiet(... | 0 |
Everyone who is generous is both curious and generous. If alice is wise or not creative then someone is either kind or wise. If someone is not strong or humble then someone is either calm or quiet and vice versa. Everyone who is either not kind or not strong is both happy and not curious. If someone is rich or not old ... | Susan is not rich. | neutral | (![X]:(generous(X)=>(curious(X)&generous(X))))&
(((wise(alice)|~creative(alice)))=>(?[X]:((kind(X)<~>wise(X)))))&
((?[X]:((~strong(X)|humble(X))))<=>(?[X]:((calm(X)<~>quiet(X)))))&
(![X]:((~kind(X)<~>~strong(X))=>(happy(X)&~curious(X))))&
((?[X]:((rich(X)|~old(X))))<=>(?[X]:(strong(X))))&
(((creative(lucy)<~>quiet(lucy... | ~rich(susan) | [] | null | 0 |
Everyone who is both not old and not curious is kind or not rich and vice versa.
Everyone who is not generous or wise is quiet and vice versa.
If someone is not old or patient then someone is both not creative and not rich.
Everyone who is both not old and not patient is wise.
Everyone who is not patient or not kind is... | Susan is not old. | contradiction | (![X]:((~old(X)&~curious(X))<=>(kind(X)|~rich(X))))&
(![X]:((~generous(X)|wise(X))<=>quiet(X)))&
((?[X]:((~old(X)|patient(X))))=>(?[X]:((~creative(X)&~rich(X)))))&
(![X]:((~old(X)&~patient(X))=>wise(X)))&
(![X]:((~patient(X)|~kind(X))=>(~happy(X)&funny(X))))&
(![X]:((funny(X)&wise(X))=>(old(X)&~creative(X))))&
(((~kind... | ~old(susan) | [
"p0",
"p5",
"p7",
"p9",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8444944703879566419752705
% SZS output start Proof for 8444944703879566419752705
1. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (~rich(X0) | kind(X0))) [input p0]
6. ! [X0] : ((wise(X0) & funny(X0)) => (~creative(X0) & old(X0))) [input p5]
8. ! [X0] : (tall(X0) <=> (curious(X0) <~> ~wise(X0))... | 0 |
Everyone who is either happy or not curious is not tall or curious and vice versa.
Everyone who is not wise is either not kind or humble and vice versa.
If lucy is curious or not kind then lucy is both not funny and generous and vice versa.
Everyone who is both not quiet and generous is both not tall and not happy.
Eve... | Lucy is patient. | contradiction | (![X]:((happy(X)<~>~curious(X))<=>(~tall(X)|curious(X))))&
(![X]:(~wise(X)<=>(~kind(X)<~>humble(X))))&
(((curious(lucy)|~kind(lucy)))<=>((~funny(lucy)&generous(lucy))))&
(![X]:((~quiet(X)&generous(X))=>(~tall(X)&~happy(X))))&
(![X]:((humble(X)&~generous(X))<=>(~funny(X)|rich(X))))&
(((quiet(susan)&strong(susan)))<=>((t... | patient(lucy) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6516577421045008488717101
% SZS output start Proof for 6516577421045008488717101
3. (~kind(lucy) | curious(lucy)) <=> (generous(lucy) & ~funny(lucy)) [input p2]
12. ! [X0] : (~kind(X0) <=> (~generous(X0) & ~creative(X0))) [input p11]
15. ! [X0] : ((~creative(X0) & ~generous(X0)) <=> (pati... | 0 |
If lucy is both not rich and quiet then someone is either not creative or not strong. Everyone who is curious is not kind. If someone is strong then john is either wise or not patient and vice versa. If fred is both not curious and rich then mary is either not patient or quiet. Everyone who is not quiet is either not h... | Susan is not rich. | neutral | (((~rich(lucy)&quiet(lucy)))=>(?[X]:((~creative(X)<~>~strong(X)))))&
(![X]:(curious(X)=>~kind(X)))&
((?[X]:(strong(X)))<=>((wise(john)<~>~patient(john))))&
(((~curious(fred)&rich(fred)))=>((~patient(mary)<~>quiet(mary))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~strong(X))))&
(![X]:((creative(X)&rich(X))<=>(~patient(X)<~>cre... | ~rich(susan) | [] | null | 0 |
If someone is curious or strong then someone is not generous and vice versa. If fred is tall then someone is both funny and quiet. Everyone who is not funny or not patient is both not wise and humble. Everyone who is either not calm or generous is both not humble and wise. If susan is kind then someone is not tall or n... | Susan is not kind. | contradiction | ((?[X]:((curious(X)|strong(X))))<=>(?[X]:(~generous(X))))&
((tall(fred))=>(?[X]:((funny(X)&quiet(X)))))&
(![X]:((~funny(X)|~patient(X))=>(~wise(X)&humble(X))))&
(![X]:((~calm(X)<~>generous(X))=>(~humble(X)&wise(X))))&
((kind(susan))<=>(?[X]:((~tall(X)|~humble(X)))))&
(((tall(mary)&curious(mary)))<=>(?[X]:((curious(X)&~... | ~kind(susan) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7321555962386047524590344
% SZS output start Proof for 7321555962386047524590344
4. ! [X0] : ((~calm(X0) <~> generous(X0)) => (wise(X0) & ~humble(X0))) [input p3]
5. kind(susan) <=> ? [X0] : (~humble(X0) | ~tall(X0)) [input p4]
8. ! [X0] : (calm(X0) <=> (~generous(X0) <~> tall(X0))) [inpu... | 0 |
Everyone who is either not humble or not old is not old or humble.
Everyone who is both patient and rich is tall and vice versa.
Everyone who is either patient or not rich is both brave and calm.
If mary is funny or happy then someone is not generous.
Everyone who is creative or not strong is not old and vice versa.
If... | Paul is generous. | contradiction | (![X]:((~humble(X)<~>~old(X))=>(~old(X)|humble(X))))&
(![X]:((patient(X)&rich(X))<=>tall(X)))&
(![X]:((patient(X)<~>~rich(X))=>(brave(X)&calm(X))))&
(((funny(mary)|happy(mary)))=>(?[X]:(~generous(X))))&
(![X]:((creative(X)|~strong(X))<=>~old(X)))&
((?[X]:((~creative(X)|kind(X))))<=>((~funny(paul)<~>generous(paul))))&
(... | generous(paul) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6277279546927867190593174
% SZS output start Proof for 6277279546927867190593174
21. ~generous(paul) & ~rich(paul) [input p20]
25. generous(paul) [input hypothesis]
146. ~generous(paul) [cnf transformation 21]
153. generous(paul) [cnf transformation 25]
170. 4 <=> generous(paul) [avatar d... | 0 |
If paul is not old then someone is not quiet and vice versa.
If susan is calm then someone is not patient and vice versa.
If paul is either not brave or not humble then john is both not generous and not happy.
Everyone who is both not rich and humble is both not creative and not wise and vice versa.
If someone is not r... | Susan is not patient. | contradiction | ((~old(paul))<=>(?[X]:(~quiet(X))))&
((calm(susan))<=>(?[X]:(~patient(X))))&
(((~brave(paul)<~>~humble(paul)))=>((~generous(john)&~happy(john))))&
(![X]:((~rich(X)&humble(X))<=>(~creative(X)&~wise(X))))&
((?[X]:((~rich(X)|rich(X))))=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)&tall(X))))<=>(?[X]:((~funny(X)&happy(X)))))&
(... | ~patient(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3010171405857993306751633
% SZS output start Proof for 3010171405857993306751633
18. patient(susan) [input p17]
25. ~patient(susan) [input hypothesis]
135. patient(susan) [cnf transformation 18]
146. ~patient(susan) [cnf transformation 25]
308. $false [subsumption resolution 146,135]
% SZ... | 0 |
If someone is both old and not funny then someone is kind or not tall.
Everyone who is either funny or rich is not quiet or not rich and vice versa.
If fred is either not quiet or not kind then someone is both not brave and brave and vice versa.
If susan is either not wise or not tall then mary is curious and vice vers... | Mary is not strong. | entailment | ((?[X]:((old(X)&~funny(X))))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((funny(X)<~>rich(X))<=>(~quiet(X)|~rich(X))))&
(((~quiet(fred)<~>~kind(fred)))<=>(?[X]:((~brave(X)&brave(X)))))&
(((~wise(susan)<~>~tall(susan)))<=>(curious(mary)))&
(![X]:((calm(X)|rich(X))<=>(~brave(X)|~happy(X))))&
(![X]:((~old(X)&~strong(X))<=>(happ... | ~strong(mary) | [
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3045347019236317407334691
% SZS output start Proof for 3045347019236317407334691
6. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (~tall(X0) | happy(X0))) [input p5]
8. ! [X0] : ((kind(X0) | quiet(X0)) <=> ~tall(X0)) [input p7]
12. ! [X0] : ((~tall(X0) | ~happy(X0)) => (wise(X0) & quiet(X0))) [i... | 0 |
If someone is wise or not quiet then susan is both not funny and not generous. Everyone who is not creative is not calm or not rich and vice versa. Everyone who is either brave or creative is both old and quiet and vice versa. Everyone who is both not wise and not patient is old and vice versa. If someone is either not... | Alice is old. | contradiction | ((?[X]:((wise(X)|~quiet(X))))=>((~funny(susan)&~generous(susan))))&
(![X]:(~creative(X)<=>(~calm(X)|~rich(X))))&
(![X]:((brave(X)<~>creative(X))<=>(old(X)&quiet(X))))&
(![X]:((~wise(X)&~patient(X))<=>old(X)))&
((?[X]:((~kind(X)<~>~funny(X))))=>((~tall(paul)|~curious(paul))))&
(![X]:((patient(X)&quiet(X))<=>(kind(X)<~>w... | old(alice) | [
"p2",
"p3",
"p6",
"p8",
"p14",
"p17",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5687168252449172621160359
% SZS output start Proof for 5687168252449172621160359
3. ! [X0] : ((brave(X0) <~> creative(X0)) <=> (quiet(X0) & old(X0))) [input p2]
4. ! [X0] : ((~patient(X0) & ~wise(X0)) <=> old(X0)) [input p3]
7. ? [X0] : (wise(X0) <~> happy(X0)) => ~tall(alice) [input p6]
... | 0 |
Everyone who is both not humble and not calm is both not kind and not wise and vice versa.
If john is both not quiet and tall then fred is kind and vice versa.
Everyone who is either not strong or calm is both generous and not curious and vice versa.
Everyone who is quiet is both not old and not wise and vice versa.
Ev... | Mary is not generous. | neutral | (![X]:((~humble(X)&~calm(X))<=>(~kind(X)&~wise(X))))&
(((~quiet(john)&tall(john)))<=>(kind(fred)))&
(![X]:((~strong(X)<~>calm(X))<=>(generous(X)&~curious(X))))&
(![X]:(quiet(X)<=>(~old(X)&~wise(X))))&
(![X]:((~tall(X)|~old(X))=>(~wise(X)<~>happy(X))))&
(![X]:((humble(X)&~calm(X))=>(~generous(X)|curious(X))))&
(![X]:((h... | ~generous(mary) | [] | null | 0 |
Everyone who is either kind or curious is not curious or not humble. Everyone who is not old is either not old or kind and vice versa. If someone is not humble then fred is calm or happy and vice versa. Everyone who is both not funny and happy is not funny and vice versa. If lucy is both wise and humble then someone is... | Fred is not calm. | contradiction | (![X]:((kind(X)<~>curious(X))=>(~curious(X)|~humble(X))))&
(![X]:(~old(X)<=>(~old(X)<~>kind(X))))&
((?[X]:(~humble(X)))<=>((calm(fred)|happy(fred))))&
(![X]:((~funny(X)&happy(X))<=>~funny(X)))&
(((wise(lucy)&humble(lucy)))=>(?[X]:((quiet(X)&rich(X)))))&
(((wise(john)<~>~brave(john)))<=>((~generous(alice)<~>old(alice)))... | ~calm(fred) | [
"p1",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 987226494197368163813709
% SZS output start Proof for 987226494197368163813709
2. ! [X0] : (~old(X0) <=> (~old(X0) <~> kind(X0))) [input p1]
10. ! [X0] : (calm(X0) <=> patient(X0)) [input p9]
13. ! [X0] : ((kind(X0) | ~kind(X0)) => patient(X0)) [input p12]
24. ~calm(fred) [input hypothesi... | 0 |
Everyone who is calm or not old is either brave or old and vice versa.
If someone is not creative then fred is both not rich and not curious.
If fred is both quiet and not humble then someone is either not generous or patient and vice versa.
If susan is both not happy and old then alice is patient and vice versa.
Every... | Alice is not creative. | neutral | (![X]:((calm(X)|~old(X))<=>(brave(X)<~>old(X))))&
((?[X]:(~creative(X)))=>((~rich(fred)&~curious(fred))))&
(((quiet(fred)&~humble(fred)))<=>(?[X]:((~generous(X)<~>patient(X)))))&
(((~happy(susan)&old(susan)))<=>(patient(alice)))&
(![X]:((~rich(X)|humble(X))=>(~humble(X)<~>~quiet(X))))&
(![X]:((generous(X)&~strong(X))<=... | ~creative(alice) | [] | null | 0 |
Everyone who is both kind and not strong is either not humble or not wise.
If someone is not strong or strong then john is wise and vice versa.
If paul is both generous and kind then someone is not wise and vice versa.
If fred is either creative or generous then someone is curious or not generous and vice versa.
Everyo... | Fred is not creative. | entailment | (![X]:((kind(X)&~strong(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((~strong(X)|strong(X))))<=>(wise(john)))&
(((generous(paul)&kind(paul)))<=>(?[X]:(~wise(X))))&
(((creative(fred)<~>generous(fred)))<=>(?[X]:((curious(X)|~generous(X)))))&
(![X]:((funny(X)<~>~humble(X))=>(~calm(X)<~>~patient(X))))&
(((~patient(fred)&~quiet(... | ~creative(fred) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3555973810223200833163106
% SZS output start Proof for 3555973810223200833163106
2. ? [X0] : (strong(X0) | ~strong(X0)) <=> wise(john) [input p1]
4. (creative(fred) <~> generous(fred)) <=> ? [X0] : (~generous(X0) | curious(X0)) [input p3]
7. ! [X0] : ((strong(X0) | ~strong(X0)) => (genero... | 0 |
If susan is tall then john is either not humble or not wise.
Everyone who is either not creative or quiet is not rich or not generous.
If someone is happy then alice is happy or not curious.
Everyone who is not tall or happy is creative and vice versa.
Everyone who is funny is not curious.
If someone is either happy or... | Susan is brave. | contradiction | ((tall(susan))=>((~humble(john)<~>~wise(john))))&
(![X]:((~creative(X)<~>quiet(X))=>(~rich(X)|~generous(X))))&
((?[X]:(happy(X)))=>((happy(alice)|~curious(alice))))&
(![X]:((~tall(X)|happy(X))<=>creative(X)))&
(![X]:(funny(X)=>~curious(X)))&
((?[X]:((happy(X)<~>~generous(X))))<=>(?[X]:((brave(X)|calm(X)))))&
(![X]:((~c... | brave(susan) | [
"p3",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8915029218532939345887486
% SZS output start Proof for 8915029218532939345887486
4. ! [X0] : ((happy(X0) | ~tall(X0)) <=> creative(X0)) [input p3]
6. ? [X0] : (happy(X0) <~> ~generous(X0)) <=> ? [X0] : (calm(X0) | brave(X0)) [input p5]
8. ? [X0] : (~tall(X0) | generous(X0)) => ~creative(a... | 0 |
If someone is happy or not patient then mary is both tall and kind and vice versa. Everyone who is not funny is not generous or not brave and vice versa. Everyone who is happy is both not creative and rich. Everyone who is not wise or quiet is either not strong or humble and vice versa. If someone is not humble then al... | Paul is not wise. | entailment | ((?[X]:((happy(X)|~patient(X))))<=>((tall(mary)&kind(mary))))&
(![X]:(~funny(X)<=>(~generous(X)|~brave(X))))&
(![X]:(happy(X)=>(~creative(X)&rich(X))))&
(![X]:((~wise(X)|quiet(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:(~humble(X)))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~humble(X)<~>~calm(X))<=>(~kind(X)|rich(X))))&
... | ~wise(paul) | [
"p0",
"p2",
"p9",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7071976633352315779444195
% SZS output start Proof for 7071976633352315779444195
1. ? [X0] : (~patient(X0) | happy(X0)) <=> (kind(mary) & tall(mary)) [input p0]
3. ! [X0] : (happy(X0) => (rich(X0) & ~creative(X0))) [input p2]
10. ! [X0] : ((creative(X0) & ~curious(X0)) <=> tall(X0)) [inpu... | 0 |
Everyone who is not brave is calm or old.
Everyone who is tall or not brave is both not quiet and not happy and vice versa.
Everyone who is either not curious or not wise is wise and vice versa.
Everyone who is either humble or calm is both patient and not creative.
If susan is not generous or funny then someone is not... | Susan is funny. | entailment | (![X]:(~brave(X)=>(calm(X)|old(X))))&
(![X]:((tall(X)|~brave(X))<=>(~quiet(X)&~happy(X))))&
(![X]:((~curious(X)<~>~wise(X))<=>wise(X)))&
(![X]:((humble(X)<~>calm(X))=>(patient(X)&~creative(X))))&
(((~generous(susan)|funny(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((patient(X)|~happy(X))<=>(quiet(X)<~>~kind(X))))&
((?[X]:... | funny(susan) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7577987677339278927583684
% SZS output start Proof for 7577987677339278927583684
2. ! [X0] : ((~brave(X0) | tall(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
3. ! [X0] : ((~curious(X0) <~> ~wise(X0)) <=> wise(X0)) [input p2]
5. (funny(susan) | ~generous(susan)) <=> ? [X0] : ~curious(X0)... | 0 |
If mary is not humble or rich then susan is either not kind or not curious and vice versa.
If paul is not happy then alice is either not calm or old.
Everyone who is not patient or tall is either funny or not strong.
If john is either not rich or curious then someone is both tall and not old and vice versa.
Everyone wh... | Alice is not brave. | entailment | (((~humble(mary)|rich(mary)))<=>((~kind(susan)<~>~curious(susan))))&
((~happy(paul))=>((~calm(alice)<~>old(alice))))&
(![X]:((~patient(X)|tall(X))=>(funny(X)<~>~strong(X))))&
(((~rich(john)<~>curious(john)))<=>(?[X]:((tall(X)&~old(X)))))&
(![X]:((~tall(X)|~funny(X))=>(~strong(X)<~>generous(X))))&
(![X]:((~creative(X)&~... | ~brave(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 474499372505310745636051
% SZS output start Proof for 474499372505310745636051
11. ! [X0] : (brave(X0) => (~rich(X0) & rich(X0))) [input p10]
25. brave(alice) [input hypothesis]
39. ! [X0] : ((~rich(X0) & rich(X0)) | ~brave(X0)) [ennf transformation 11]
115. rich(X0) | ~brave(X0) [cnf tra... | 0 |
If mary is both tall and funny then someone is either not creative or not rich and vice versa.
If someone is not creative then someone is both tall and brave and vice versa.
If lucy is either not happy or not curious then someone is either old or not happy and vice versa.
If paul is curious or not happy then someone is... | Alice is not creative. | entailment | (((tall(mary)&funny(mary)))<=>(?[X]:((~creative(X)<~>~rich(X)))))&
((?[X]:(~creative(X)))<=>(?[X]:((tall(X)&brave(X)))))&
(((~happy(lucy)<~>~curious(lucy)))<=>(?[X]:((old(X)<~>~happy(X)))))&
(((curious(paul)|~happy(paul)))<=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~kind(X))=>tall(X)))&
(![X]:((curious(X)&quiet(X))=>(c... | ~creative(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7353209258365356522569262
% SZS output start Proof for 7353209258365356522569262
17. ~creative(alice) & wise(alice) [input p16]
25. creative(alice) [input hypothesis]
137. ~creative(alice) [cnf transformation 17]
146. creative(alice) [cnf transformation 25]
314. $false [subsumption resolu... | 0 |
If someone is not curious or not strong then lucy is not old and vice versa.
Everyone who is both not patient and not humble is patient and vice versa.
Everyone who is generous is either not patient or humble.
Everyone who is both not happy and not old is tall and vice versa.
Everyone who is either creative or rich is ... | John is not happy. | neutral | ((?[X]:((~curious(X)|~strong(X))))<=>(~old(lucy)))&
(![X]:((~patient(X)&~humble(X))<=>patient(X)))&
(![X]:(generous(X)=>(~patient(X)<~>humble(X))))&
(![X]:((~happy(X)&~old(X))<=>tall(X)))&
(![X]:((creative(X)<~>rich(X))<=>(generous(X)|~rich(X))))&
((?[X]:((~humble(X)|~wise(X))))=>(?[X]:(quiet(X))))&
((?[X]:((wise(X)<~>... | ~happy(john) | [] | null | 0 |
Everyone who is either not calm or not brave is curious and vice versa. If someone is both not tall and not quiet then someone is both not tall and creative. Everyone who is either not kind or not rich is either strong or happy and vice versa. If someone is not quiet or brave then someone is curious and vice versa. Eve... | Paul is not brave. | entailment | (![X]:((~calm(X)<~>~brave(X))<=>curious(X)))&
((?[X]:((~tall(X)&~quiet(X))))=>(?[X]:((~tall(X)&creative(X)))))&
(![X]:((~kind(X)<~>~rich(X))<=>(strong(X)<~>happy(X))))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(curious(X))))&
(![X]:((brave(X)&~funny(X))=>(~happy(X)|~wise(X))))&
(((funny(lucy)&wise(lucy)))=>(rich(paul)))&... | ~brave(paul) | [
"p0",
"p6",
"p8",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 506091122318912788686310
% SZS output start Proof for 506091122318912788686310
1. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> curious(X0)) [input p0]
7. ! [X0] : ((rich(X0) | calm(X0)) <=> ~old(X0)) [input p6]
9. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> ~calm(X0)) [input p8]
14. ! [X0] : ((calm... | 0 |
Everyone who is happy is not funny and vice versa. If someone is either tall or happy then someone is happy or not humble. Everyone who is either not wise or old is either not old or old. If someone is both tall and brave then someone is not rich. If someone is both not calm and brave then john is curious. If fred is e... | Fred is not quiet. | entailment | (![X]:(happy(X)<=>~funny(X)))&
((?[X]:((tall(X)<~>happy(X))))=>(?[X]:((happy(X)|~humble(X)))))&
(![X]:((~wise(X)<~>old(X))=>(~old(X)<~>old(X))))&
((?[X]:((tall(X)&brave(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~calm(X)&brave(X))))=>(curious(john)))&
(((tall(fred)<~>calm(fred)))=>(?[X]:((~old(X)&~creative(X)))))&
((?[X]:(~ol... | ~quiet(fred) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4251705268846707147428450
% SZS output start Proof for 4251705268846707147428450
11. ! [X0] : (quiet(X0) => ~kind(X0)) [input p10]
22. kind(fred) & happy(fred) [input p21]
25. quiet(fred) [input hypothesis]
38. ! [X0] : (~kind(X0) | ~quiet(X0)) [ennf transformation 11]
114. ~quiet(X0) | ~... | 0 |
Everyone who is both kind and patient is either curious or not rich.
Everyone who is not curious is not patient or not humble and vice versa.
If lucy is either rich or brave then someone is both funny and not old.
If alice is either funny or not tall then fred is either brave or not tall and vice versa.
If someone is n... | Paul is not creative. | contradiction | (![X]:((kind(X)&patient(X))=>(curious(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(~patient(X)|~humble(X))))&
(((rich(lucy)<~>brave(lucy)))=>(?[X]:((funny(X)&~old(X)))))&
(((funny(alice)<~>~tall(alice)))<=>((brave(fred)<~>~tall(fred))))&
((?[X]:(~rich(X)))<=>((~quiet(paul)&creative(paul))))&
((?[X]:((~happy(X)|~generous(X))... | ~creative(paul) | [
"p1",
"p4",
"p10",
"p12",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6328674052570677236232797
% SZS output start Proof for 6328674052570677236232797
2. ! [X0] : (~curious(X0) <=> (~humble(X0) | ~patient(X0))) [input p1]
5. ? [X0] : ~rich(X0) <=> (creative(paul) & ~quiet(paul)) [input p4]
11. ! [X0] : ((happy(X0) & ~curious(X0)) => ~rich(X0)) [input p10]
1... | 0 |
If mary is either funny or wise then someone is both humble and strong and vice versa. Everyone who is both kind and rich is both not rich and not old and vice versa. Everyone who is quiet or not tall is both old and not quiet. Everyone who is not kind or not generous is quiet. If susan is both generous and calm then j... | Paul is calm. | contradiction | (((funny(mary)<~>wise(mary)))<=>(?[X]:((humble(X)&strong(X)))))&
(![X]:((kind(X)&rich(X))<=>(~rich(X)&~old(X))))&
(![X]:((quiet(X)|~tall(X))=>(old(X)&~quiet(X))))&
(![X]:((~kind(X)|~generous(X))=>quiet(X)))&
(((generous(susan)&calm(susan)))=>(happy(john)))&
(![X]:((brave(X)&old(X))<=>kind(X)))&
(![X]:((calm(X)|wise(X))... | calm(paul) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2016697646509184517967752
% SZS output start Proof for 2016697646509184517967752
3. ! [X0] : ((~tall(X0) | quiet(X0)) => (~quiet(X0) & old(X0))) [input p2]
10. ! [X0] : ((~patient(X0) & ~creative(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p9]
12. ! [X0] : (~patient(X0) => (calm(X0) <... | 0 |
If susan is funny then lucy is both brave and curious.
If john is not happy then lucy is either brave or wise.
Everyone who is both not strong and not old is either not calm or not creative and vice versa.
Everyone who is either not brave or patient is both not happy and old and vice versa.
If someone is creative or no... | Fred is not brave. | entailment | ((funny(susan))=>((brave(lucy)&curious(lucy))))&
((~happy(john))=>((brave(lucy)<~>wise(lucy))))&
(![X]:((~strong(X)&~old(X))<=>(~calm(X)<~>~creative(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(~happy(X)&old(X))))&
((?[X]:((creative(X)|~rich(X))))=>(?[X]:((tall(X)|brave(X)))))&
(((~rich(susan)|~happy(susan)))<=>(?[X]:(tal... | ~brave(fred) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6415938460618895618432704
% SZS output start Proof for 6415938460618895618432704
8. ! [X0] : (~brave(X0) <=> strong(X0)) [input p7]
22. strong(fred) & wise(fred) [input p21]
25. brave(fred) [input hypothesis]
51. ! [X0] : ((~brave(X0) | ~strong(X0)) & (strong(X0) | brave(X0))) [nnf transf... | 0 |
Everyone who is not wise or quiet is either happy or not wise and vice versa.
Everyone who is not curious or not creative is both not brave and curious.
Everyone who is humble is rich or not humble.
If mary is not brave then mary is old or not happy and vice versa.
If fred is either generous or not creative then mary i... | Susan is not old. | neutral | (![X]:((~wise(X)|quiet(X))<=>(happy(X)<~>~wise(X))))&
(![X]:((~curious(X)|~creative(X))=>(~brave(X)&curious(X))))&
(![X]:(humble(X)=>(rich(X)|~humble(X))))&
((~brave(mary))<=>((old(mary)|~happy(mary))))&
(((generous(fred)<~>~creative(fred)))<=>((~curious(mary)<~>tall(mary))))&
(((~quiet(alice)|~humble(alice)))<=>((~old... | ~old(susan) | [] | null | 0 |
Everyone who is tall or not strong is not brave. Everyone who is both old and tall is both not calm and not strong. Everyone who is both not patient and creative is either not happy or kind and vice versa. Everyone who is both not tall and not strong is both creative and quiet and vice versa. Everyone who is rich or no... | Fred is happy. | contradiction | (![X]:((tall(X)|~strong(X))=>~brave(X)))&
(![X]:((old(X)&tall(X))=>(~calm(X)&~strong(X))))&
(![X]:((~patient(X)&creative(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~tall(X)&~strong(X))<=>(creative(X)&quiet(X))))&
(![X]:((rich(X)|~brave(X))<=>(~generous(X)&tall(X))))&
(((~creative(alice)|~brave(alice)))<=>(?[X]:((creative(X... | happy(fred) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p8",
"p9",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 820700468765051725992612
% SZS output start Proof for 820700468765051725992612
1. ! [X0] : ((~strong(X0) | tall(X0)) => ~brave(X0)) [input p0]
3. ! [X0] : ((creative(X0) & ~patient(X0)) <=> (~happy(X0) <~> kind(X0))) [input p2]
4. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (quiet(X0) & creat... | 0 |
If someone is curious then someone is not curious and vice versa.
If someone is either not patient or not brave then someone is either not funny or old and vice versa.
Everyone who is both not calm and humble is calm or not brave and vice versa.
If someone is either old or tall then someone is both not creative and bra... | Fred is not tall. | entailment | ((?[X]:(curious(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((~patient(X)<~>~brave(X))))<=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)|~brave(X))))&
((?[X]:((old(X)<~>tall(X))))=>(?[X]:((~creative(X)&brave(X)))))&
(![X]:((wise(X)|tall(X))=>(~generous(X)&~humble(X))))&
((~generous(lucy))<=>(?[X]:((hu... | ~tall(fred) | [
"p2",
"p4",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8953678892392822789312452
% SZS output start Proof for 8953678892392822789312452
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (~brave(X0) | calm(X0))) [input p2]
5. ! [X0] : ((tall(X0) | wise(X0)) => (~humble(X0) & ~generous(X0))) [input p4]
8. ! [X0] : ((~tall(X0) | ~humble(X0)) => (~happy(... | 0 |
Everyone who is not generous is both curious and not funny and vice versa.
Everyone who is both wise and not tall is either not happy or curious.
Everyone who is either not kind or not generous is funny.
If someone is either rich or not creative then someone is either not kind or not funny.
Everyone who is not happy or... | John is curious. | neutral | (![X]:(~generous(X)<=>(curious(X)&~funny(X))))&
(![X]:((wise(X)&~tall(X))=>(~happy(X)<~>curious(X))))&
(![X]:((~kind(X)<~>~generous(X))=>funny(X)))&
((?[X]:((rich(X)<~>~creative(X))))=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~happy(X)|~old(X))<=>(brave(X)|wise(X))))&
((?[X]:((kind(X)&happy(X))))=>(?[X]:(old(X))))&
(!... | curious(john) | [] | null | 0 |
Everyone who is both not old and not tall is either old or patient.
Everyone who is either happy or not rich is quiet.
If someone is both tall and curious then someone is funny and vice versa.
Everyone who is either not happy or not strong is both not brave and patient and vice versa.
If someone is not strong or not fu... | Lucy is not patient. | neutral | (![X]:((~old(X)&~tall(X))=>(old(X)<~>patient(X))))&
(![X]:((happy(X)<~>~rich(X))=>quiet(X)))&
((?[X]:((tall(X)&curious(X))))<=>(?[X]:(funny(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>(~brave(X)&patient(X))))&
((?[X]:((~strong(X)|~funny(X))))=>((funny(fred)<~>happy(fred))))&
(![X]:((~brave(X)&~funny(X))=>(calm(X)<~>funny(... | ~patient(lucy) | [] | null | 0 |
If mary is both not kind and not brave then someone is both rich and not funny and vice versa.
Everyone who is kind or not tall is not creative or brave and vice versa.
If alice is creative then mary is rich.
If alice is either patient or kind then someone is both kind and quiet.
Everyone who is both strong and creativ... | John is not quiet. | entailment | (((~kind(mary)&~brave(mary)))<=>(?[X]:((rich(X)&~funny(X)))))&
(![X]:((kind(X)|~tall(X))<=>(~creative(X)|brave(X))))&
((creative(alice))=>(rich(mary)))&
(((patient(alice)<~>kind(alice)))=>(?[X]:((kind(X)&quiet(X)))))&
(![X]:((strong(X)&creative(X))<=>curious(X)))&
((?[X]:(~humble(X)))=>(?[X]:((humble(X)&generous(X)))))... | ~quiet(john) | [
"p1",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 872682350489984952908316
% SZS output start Proof for 872682350489984952908316
2. ! [X0] : ((~tall(X0) | kind(X0)) <=> (brave(X0) | ~creative(X0))) [input p1]
11. ! [X0] : ((curious(X0) | quiet(X0)) => (~humble(X0) & ~kind(X0))) [input p10]
14. ! [X0] : ((brave(X0) & ~patient(X0)) <=> (~b... | 0 |
If alice is either patient or quiet then someone is both patient and calm and vice versa. Everyone who is both wise and old is both calm and not curious. Everyone who is strong is not calm. Everyone who is tall or generous is either rich or not strong. Everyone who is both generous and not generous is both patient and ... | Susan is rich. | contradiction | (((patient(alice)<~>quiet(alice)))<=>(?[X]:((patient(X)&calm(X)))))&
(![X]:((wise(X)&old(X))=>(calm(X)&~curious(X))))&
(![X]:(strong(X)=>~calm(X)))&
(![X]:((tall(X)|generous(X))=>(rich(X)<~>~strong(X))))&
(![X]:((generous(X)&~generous(X))=>(patient(X)&~old(X))))&
(![X]:((strong(X)|humble(X))=>(calm(X)|creative(X))))&
(... | rich(susan) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 343890065787865677453709
% SZS output start Proof for 343890065787865677453709
7. ? [X0] : (curious(X0) & ~kind(X0)) <=> ? [X0] : rich(X0) [input p6]
8. ! [X0] : ((~kind(X0) | ~funny(X0)) => (quiet(X0) & kind(X0))) [input p7]
25. rich(susan) [input hypothesis]
26. ? [X0] : (curious(X0) & ... | 0 |
If someone is either curious or not rich then john is both tall and not calm and vice versa. Everyone who is either not strong or wise is not kind. If mary is tall or calm then someone is not creative or wise and vice versa. If fred is not creative or not happy then susan is tall or not kind and vice versa. If someone ... | John is not patient. | contradiction | ((?[X]:((curious(X)<~>~rich(X))))<=>((tall(john)&~calm(john))))&
(![X]:((~strong(X)<~>wise(X))=>~kind(X)))&
(((tall(mary)|calm(mary)))<=>(?[X]:((~creative(X)|wise(X)))))&
(((~creative(fred)|~happy(fred)))<=>((tall(susan)|~kind(susan))))&
((?[X]:((~brave(X)|tall(X))))=>(?[X]:((creative(X)<~>strong(X)))))&
(![X]:((~calm(... | ~patient(john) | [
"p0",
"p1",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8451962629294627364935900
% SZS output start Proof for 8451962629294627364935900
1. ? [X0] : (curious(X0) <~> ~rich(X0)) <=> (~calm(john) & tall(john)) [input p0]
2. ! [X0] : ((~strong(X0) <~> wise(X0)) => ~kind(X0)) [input p1]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (curious(X0) <~> cal... | 0 |
If someone is either not brave or not tall then susan is not quiet.
Everyone who is both not strong and not old is both not tall and not happy.
Everyone who is either patient or not calm is not patient and vice versa.
Everyone who is both generous and funny is curious and vice versa.
If paul is either humble or not hum... | Paul is calm. | contradiction | ((?[X]:((~brave(X)<~>~tall(X))))=>(~quiet(susan)))&
(![X]:((~strong(X)&~old(X))=>(~tall(X)&~happy(X))))&
(![X]:((patient(X)<~>~calm(X))<=>~patient(X)))&
(![X]:((generous(X)&funny(X))<=>curious(X)))&
(((humble(paul)<~>~humble(paul)))<=>(creative(fred)))&
(![X]:(patient(X)=>(generous(X)<~>curious(X))))&
((?[X]:((funny(X)... | calm(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7442209563786568777162824
% SZS output start Proof for 7442209563786568777162824
3. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> ~patient(X0)) [input p2]
25. calm(paul) [input hypothesis]
41. ! [X0] : ((((calm(X0) | ~patient(X0)) & (~calm(X0) | patient(X0))) | patient(X0)) & (~patient(X0) | ... | 0 |
Everyone who is both generous and not curious is not patient or quiet and vice versa. If fred is quiet then someone is either not patient or generous and vice versa. Everyone who is not calm or calm is curious or not generous. Everyone who is both kind and not rich is both rich and calm. Everyone who is either tall or ... | Alice is not calm. | neutral | (![X]:((generous(X)&~curious(X))<=>(~patient(X)|quiet(X))))&
((quiet(fred))<=>(?[X]:((~patient(X)<~>generous(X)))))&
(![X]:((~calm(X)|calm(X))=>(curious(X)|~generous(X))))&
(![X]:((kind(X)&~rich(X))=>(rich(X)&calm(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(brave(X)|quiet(X))))&
(![X]:((~old(X)&~curious(X))<=>(wise(X)&patie... | ~calm(alice) | [] | null | 0 |
If john is rich or quiet then someone is quiet or tall and vice versa. Everyone who is both curious and brave is not wise. If someone is both not brave and not old then john is both happy and not happy. Everyone who is not wise is both not tall and not funny and vice versa. Everyone who is not humble is either calm or ... | Paul is curious. | contradiction | (((rich(john)|quiet(john)))<=>(?[X]:((quiet(X)|tall(X)))))&
(![X]:((curious(X)&brave(X))=>~wise(X)))&
((?[X]:((~brave(X)&~old(X))))=>((happy(john)&~happy(john))))&
(![X]:(~wise(X)<=>(~tall(X)&~funny(X))))&
(![X]:(~humble(X)=>(calm(X)<~>happy(X))))&
(![X]:((~funny(X)|kind(X))<=>(tall(X)&~kind(X))))&
(![X]:(~humble(X)<=>... | curious(paul) | [
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8522924760687038652720300
% SZS output start Proof for 8522924760687038652720300
6. ! [X0] : ((kind(X0) | ~funny(X0)) <=> (~kind(X0) & tall(X0))) [input p5]
7. ! [X0] : (~humble(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (~calm(X0) & kind(X0))) [input p7]... | 0 |
If lucy is either not calm or not tall then lucy is both not strong and not generous.
Everyone who is both not calm and not rich is either not calm or not rich.
Everyone who is calm is either not tall or kind.
Everyone who is both kind and not old is both creative and not old.
If susan is both strong and wise then some... | Susan is not humble. | entailment | (((~calm(lucy)<~>~tall(lucy)))=>((~strong(lucy)&~generous(lucy))))&
(![X]:((~calm(X)&~rich(X))=>(~calm(X)<~>~rich(X))))&
(![X]:(calm(X)=>(~tall(X)<~>kind(X))))&
(![X]:((kind(X)&~old(X))=>(creative(X)&~old(X))))&
(((strong(susan)&wise(susan)))=>(?[X]:((tall(X)<~>~tall(X)))))&
(![X]:((curious(X)&creative(X))=>(wise(X)&~k... | ~humble(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4357317937711919726462539
% SZS output start Proof for 4357317937711919726462539
10. ! [X0] : (humble(X0) <=> (patient(X0) & ~patient(X0))) [input p9]
25. humble(susan) [input hypothesis]
54. ! [X0] : ((humble(X0) | (~patient(X0) | patient(X0))) & ((patient(X0) & ~patient(X0)) | ~humble(X... | 0 |
Everyone who is both not patient and creative is kind or creative and vice versa. If someone is not creative then someone is both not humble and not creative. If someone is either old or not patient then someone is funny and vice versa. If fred is both not rich and curious then paul is both happy and not tall and vice ... | Alice is strong. | neutral | (![X]:((~patient(X)&creative(X))<=>(kind(X)|creative(X))))&
((?[X]:(~creative(X)))=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)<~>~patient(X))))<=>(?[X]:(funny(X))))&
(((~rich(fred)&curious(fred)))<=>((happy(paul)&~tall(paul))))&
(((~curious(lucy)<~>brave(lucy)))<=>((~generous(john)<~>~funny(john))))&
(![X]:((... | strong(alice) | [] | null | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is either patient or generous is either quiet or not quiet and vice versa.
Everyone who is both brave and funny is either not funny or kind.
If someone is rich or calm then someone is both humble and happy and vice versa.
If someone is either n... | Alice is not kind. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((patient(X)<~>generous(X))<=>(quiet(X)<~>~quiet(X))))&
(![X]:((brave(X)&funny(X))=>(~funny(X)<~>kind(X))))&
((?[X]:((rich(X)|calm(X))))<=>(?[X]:((humble(X)&happy(X)))))&
((?[X]:((~strong(X)<~>brave(X))))<=>((~happy(alice)&~curious(alice))))&
(((~brave(susan)... | ~kind(alice) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7475772071021442466690894
% SZS output start Proof for 7475772071021442466690894
1. ! [X0] : ((kind(X0) | curious(X0)) => (~brave(X0) & curious(X0))) [input p0]
9. ! [X0] : (~wise(X0) <=> (~curious(X0) | wise(X0))) [input p8]
22. kind(alice) [input hypothesis]
26. ! [X0] : ((~brave(X0) & ... | 0 |
If someone is tall or not funny then lucy is quiet or creative and vice versa.
Everyone who is either kind or strong is not tall.
If someone is not patient or not generous then fred is kind.
Everyone who is humble is calm or not kind and vice versa.
If susan is not creative then alice is not funny or not kind and vice ... | Susan is funny. | contradiction | ((?[X]:((tall(X)|~funny(X))))<=>((quiet(lucy)|creative(lucy))))&
(![X]:((kind(X)<~>strong(X))=>~tall(X)))&
((?[X]:((~patient(X)|~generous(X))))=>(kind(fred)))&
(![X]:(humble(X)<=>(calm(X)|~kind(X))))&
((~creative(susan))<=>((~funny(alice)|~kind(alice))))&
(![X]:((generous(X)&~calm(X))=>(~patient(X)|~happy(X))))&
(![X]:... | funny(susan) | [
"p6",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 39990855224980897923504
% SZS output start Proof for 39990855224980897923504
7. ! [X0] : ((~old(X0) <~> ~calm(X0)) => (funny(X0) <~> calm(X0))) [input p6]
14. ! [X0] : ((humble(X0) | funny(X0)) => ~old(X0)) [input p13]
21. ~rich(susan) & calm(susan) [input p20]
24. funny(susan) [input hyp... | 0 |
If someone is either wise or happy then alice is kind or not creative and vice versa. Everyone who is both not happy and not strong is both old and curious. If someone is curious then susan is not curious. If lucy is old then someone is either curious or not quiet. If paul is either tall or patient then someone is both... | Lucy is old. | contradiction | ((?[X]:((wise(X)<~>happy(X))))<=>((kind(alice)|~creative(alice))))&
(![X]:((~happy(X)&~strong(X))=>(old(X)&curious(X))))&
((?[X]:(curious(X)))=>(~curious(susan)))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((tall(paul)<~>patient(paul)))=>(?[X]:((funny(X)&wise(X)))))&
(![X]:((happy(X)&~calm(X))<=>patient(X)))&
... | old(lucy) | [
"p7",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3204385210370657108188055
% SZS output start Proof for 3204385210370657108188055
8. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p7]
12. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p11]
16. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(... | 0 |
If someone is both not creative and not calm then someone is either funny or strong and vice versa.
Everyone who is both not kind and funny is both not rich and funny.
If someone is funny then susan is either generous or old.
If john is not calm or not creative then someone is either quiet or patient and vice versa.
Ev... | Susan is calm. | contradiction | ((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:((~kind(X)&funny(X))=>(~rich(X)&funny(X))))&
((?[X]:(funny(X)))=>((generous(susan)<~>old(susan))))&
(((~calm(john)|~creative(john)))<=>(?[X]:((quiet(X)<~>patient(X)))))&
(![X]:((~rich(X)&brave(X))<=>(calm(X)|~funny(X))))&
(![X]:((~old(X)<~>~bra... | calm(susan) | [
"p2",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1542893505782091414295135
% SZS output start Proof for 1542893505782091414295135
3. ? [X0] : funny(X0) => (generous(susan) <~> old(susan)) [input p2]
5. ! [X0] : ((brave(X0) & ~rich(X0)) <=> (~funny(X0) | calm(X0))) [input p4]
8. ! [X0] : ((~strong(X0) <~> calm(X0)) <=> (~generous(X0) | o... | 0 |
Everyone who is not curious is quiet.
Everyone who is either curious or strong is not wise or not funny and vice versa.
If mary is either not funny or not calm then someone is not rich and vice versa.
If fred is either old or wise then paul is not calm and vice versa.
Everyone who is either not brave or tall is both wi... | Mary is not creative. | entailment | (![X]:(~curious(X)=>quiet(X)))&
(![X]:((curious(X)<~>strong(X))<=>(~wise(X)|~funny(X))))&
(((~funny(mary)<~>~calm(mary)))<=>(?[X]:(~rich(X))))&
(((old(fred)<~>wise(fred)))<=>(~calm(paul)))&
(![X]:((~brave(X)<~>tall(X))<=>(wise(X)&happy(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~generous(X)|~patient(X))))&
(![X]:(strong... | ~creative(mary) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 460984359496034236265392
% SZS output start Proof for 460984359496034236265392
8. ? [X0] : generous(X0) <=> ? [X0] : (kind(X0) | creative(X0)) [input p7]
10. ! [X0] : ((~generous(X0) <~> kind(X0)) <=> (~kind(X0) | ~generous(X0))) [input p9]
21. creative(mary) [input hypothesis]
22. ? [X0]... | 0 |
If john is curious then john is not strong or not curious and vice versa. If lucy is not strong then someone is not brave or not wise and vice versa. Everyone who is not generous is not happy or not calm. If someone is not tall then someone is not kind and vice versa. If alice is both not generous and not brave then ma... | Paul is not humble. | contradiction | ((curious(john))<=>((~strong(john)|~curious(john))))&
((~strong(lucy))<=>(?[X]:((~brave(X)|~wise(X)))))&
(![X]:(~generous(X)=>(~happy(X)|~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(~kind(X))))&
(((~generous(alice)&~brave(alice)))=>(strong(mary)))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:((~wise(X)&~quiet(X)))))&
((wise(fred))... | ~humble(paul) | [
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5937850403336927609137859
% SZS output start Proof for 5937850403336927609137859
12. ! [X0] : (~funny(X0) <=> (~patient(X0) & curious(X0))) [input p11]
13. ! [X0] : ((patient(X0) | ~humble(X0)) <=> wise(X0)) [input p12]
14. ! [X0] : (~kind(X0) <=> (patient(X0) & wise(X0))) [input p13]
15.... | 0 |
If john is either generous or wise then susan is not curious or not happy.
Everyone who is quiet or curious is not old or old and vice versa.
Everyone who is kind or funny is either not curious or rich and vice versa.
If lucy is either patient or generous then someone is either not strong or patient.
If lucy is either ... | Susan is wise. | neutral | (((generous(john)<~>wise(john)))=>((~curious(susan)|~happy(susan))))&
(![X]:((quiet(X)|curious(X))<=>(~old(X)|old(X))))&
(![X]:((kind(X)|funny(X))<=>(~curious(X)<~>rich(X))))&
(((patient(lucy)<~>generous(lucy)))=>(?[X]:((~strong(X)<~>patient(X)))))&
(((~generous(lucy)<~>creative(lucy)))=>((~funny(paul)|brave(paul))))&
... | wise(susan) | [] | null | 0 |
Everyone who is quiet or strong is either humble or happy.
Everyone who is both funny and humble is rich.
Everyone who is both happy and not wise is rich and vice versa.
If someone is quiet or not curious then fred is both not rich and old and vice versa.
If someone is either old or not humble then john is both not qui... | Lucy is funny. | entailment | (![X]:((quiet(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:((funny(X)&humble(X))=>rich(X)))&
(![X]:((happy(X)&~wise(X))<=>rich(X)))&
((?[X]:((quiet(X)|~curious(X))))<=>((~rich(fred)&old(fred))))&
((?[X]:((old(X)<~>~humble(X))))=>((~quiet(john)&~brave(john))))&
(![X]:(tall(X)<=>(kind(X)|~curious(X))))&
(![X]:((wise(X)... | funny(lucy) | [
"p2",
"p5",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 933783406896291429545646
% SZS output start Proof for 933783406896291429545646
3. ! [X0] : ((~wise(X0) & happy(X0)) <=> rich(X0)) [input p2]
6. ! [X0] : (tall(X0) <=> (~curious(X0) | kind(X0))) [input p5]
9. ! [X0] : ((~generous(X0) | strong(X0)) <=> (tall(X0) <~> ~curious(X0))) [input p8... | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa. If john is both happy and not funny then someone is both quiet and not funny and vice versa. Everyone who is not funny or not kind is kind or not tall and vice versa. If alice is not humble then paul is either old or not strong and ... | Susan is not curious. | contradiction | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
(((happy(john)&~funny(john)))<=>(?[X]:((quiet(X)&~funny(X)))))&
(![X]:((~funny(X)|~kind(X))<=>(kind(X)|~tall(X))))&
((~humble(alice))<=>((old(paul)<~>~strong(paul))))&
((~calm(john))=>((humble(susan)|curious(susan))))&
(![X]:(~quiet(X)=>tall(X)))&
... | ~curious(susan) | [
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3198263402505054338560879
% SZS output start Proof for 3198263402505054338560879
8. ? [X0] : ~rich(X0) => (strong(susan) & curious(susan)) [input p7]
16. ! [X0] : (~calm(X0) => ~rich(X0)) [input p15]
17. ~calm(lucy) [input p16]
24. ~curious(susan) [input hypothesis]
30. (strong(susan) & c... | 0 |
Everyone who is either not kind or not tall is not patient and vice versa.
Everyone who is both generous and not wise is tall or curious.
Everyone who is brave is either happy or not curious.
If someone is both tall and patient then someone is not wise and vice versa.
Everyone who is not tall is happy and vice versa.
I... | Paul is not humble. | contradiction | (![X]:((~kind(X)<~>~tall(X))<=>~patient(X)))&
(![X]:((generous(X)&~wise(X))=>(tall(X)|curious(X))))&
(![X]:(brave(X)=>(happy(X)<~>~curious(X))))&
((?[X]:((tall(X)&patient(X))))<=>(?[X]:(~wise(X))))&
(![X]:(~tall(X)<=>happy(X)))&
(((~patient(john)<~>strong(john)))<=>(?[X]:((brave(X)&funny(X)))))&
(![X]:((~kind(X)&kind(X... | ~humble(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 513387260811919775691561
% SZS output start Proof for 513387260811919775691561
9. ! [X0] : ((~patient(X0) <~> ~humble(X0)) <=> ~patient(X0)) [input p8]
25. ~humble(paul) [input hypothesis]
48. ! [X0] : ((((humble(X0) | patient(X0)) & (~humble(X0) | ~patient(X0))) | patient(X0)) & (~patien... | 0 |
Everyone who is strong or not wise is brave and vice versa.
Everyone who is rich is quiet or kind.
If someone is either not funny or not strong then fred is not old and vice versa.
Everyone who is both generous and quiet is either humble or not humble.
If someone is both not tall and happy then lucy is not patient or q... | Alice is not old. | entailment | (![X]:((strong(X)|~wise(X))<=>brave(X)))&
(![X]:(rich(X)=>(quiet(X)|kind(X))))&
((?[X]:((~funny(X)<~>~strong(X))))<=>(~old(fred)))&
(![X]:((generous(X)&quiet(X))=>(humble(X)<~>~humble(X))))&
((?[X]:((~tall(X)&happy(X))))=>((~patient(lucy)|quiet(lucy))))&
(![X]:((~patient(X)&~rich(X))=>strong(X)))&
(![X]:((rich(X)&stron... | ~old(alice) | [
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1636843973647049951277820
% SZS output start Proof for 1636843973647049951277820
9. ! [X0] : ((~old(X0) | ~kind(X0)) => (~happy(X0) & ~old(X0))) [input p8]
10. ! [X0] : ((generous(X0) | old(X0)) <=> (~quiet(X0) & calm(X0))) [input p9]
11. ! [X0] : (~quiet(X0) => ~kind(X0)) [input p10]
25.... | 0 |
If someone is both not tall and not curious then someone is either wise or not tall and vice versa.
Everyone who is both not generous and not wise is curious.
Everyone who is either wise or not funny is either not brave or not strong and vice versa.
Everyone who is either not strong or not quiet is rich or not creative... | Mary is not rich. | neutral | ((?[X]:((~tall(X)&~curious(X))))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((~generous(X)&~wise(X))=>curious(X)))&
(![X]:((wise(X)<~>~funny(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(rich(X)|~creative(X))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)&~calm(X))))&
(![X]:((generous(X)&strong(X))<=>(~... | ~rich(mary) | [] | null | 0 |
If someone is not tall then susan is both not kind and rich and vice versa. If someone is both not creative and wise then someone is not rich or not humble. Everyone who is either not tall or humble is both rich and calm and vice versa. If paul is not brave then john is humble or old and vice versa. Everyone who is eit... | Alice is curious. | neutral | ((?[X]:(~tall(X)))<=>((~kind(susan)&rich(susan))))&
((?[X]:((~creative(X)&wise(X))))=>(?[X]:((~rich(X)|~humble(X)))))&
(![X]:((~tall(X)<~>humble(X))<=>(rich(X)&calm(X))))&
((~brave(paul))<=>((humble(john)|old(john))))&
(![X]:((creative(X)<~>brave(X))<=>(brave(X)&~creative(X))))&
((curious(alice))=>(~patient(susan)))&
(... | curious(alice) | [] | null | 0 |
Everyone who is both curious and not curious is both not rich and brave. If john is not old then someone is both rich and not funny and vice versa. If susan is either not wise or funny then someone is either not strong or generous and vice versa. Everyone who is not kind is either not strong or not calm and vice versa.... | John is not old. | neutral | (![X]:((curious(X)&~curious(X))=>(~rich(X)&brave(X))))&
((~old(john))<=>(?[X]:((rich(X)&~funny(X)))))&
(((~wise(susan)<~>funny(susan)))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(~kind(X)<=>(~strong(X)<~>~calm(X))))&
(![X]:(~calm(X)=>humble(X)))&
(![X]:((~patient(X)&patient(X))<=>~tall(X)))&
(![X]:((patient(X)|happ... | ~old(john) | [] | null | 0 |
Everyone who is both humble and not tall is either not tall or not curious.
If mary is either not old or happy then paul is both happy and creative.
Everyone who is both not creative and not kind is not old and vice versa.
If paul is either not calm or not tall then someone is either not strong or not brave and vice ve... | Mary is not curious. | entailment | (![X]:((humble(X)&~tall(X))=>(~tall(X)<~>~curious(X))))&
(((~old(mary)<~>happy(mary)))=>((happy(paul)&creative(paul))))&
(![X]:((~creative(X)&~kind(X))<=>~old(X)))&
(((~calm(paul)<~>~tall(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((~generous(X)<~>~humble(X))<=>(~old(X)<~>quiet(X)... | ~curious(mary) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 510080027429997858996933
% SZS output start Proof for 510080027429997858996933
9. ? [X0] : (brave(X0) | generous(X0)) <=> ~curious(mary) [input p8]
13. (brave(alice) <~> ~generous(alice)) <=> ? [X0] : brave(X0) [input p12]
22. curious(mary) [input hypothesis]
46. (? [X0] : (brave(X0) | ge... | 0 |
Everyone who is both strong and brave is not happy or not kind and vice versa.
If someone is both not curious and patient then susan is quiet and vice versa.
Everyone who is kind or humble is both strong and not quiet.
Everyone who is either not happy or not calm is either not brave or tall.
If someone is brave then fr... | Alice is curious. | neutral | (![X]:((strong(X)&brave(X))<=>(~happy(X)|~kind(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(quiet(susan)))&
(![X]:((kind(X)|humble(X))=>(strong(X)&~quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>(~brave(X)<~>tall(X))))&
((?[X]:(brave(X)))=>((strong(fred)|rich(fred))))&
(![X]:(creative(X)<=>(~creative(X)&~brave(X))))&
(![X... | curious(alice) | [] | null | 0 |
If john is both not kind and not rich then mary is either creative or kind and vice versa.
If someone is either not curious or patient then someone is not old and vice versa.
If mary is both humble and calm then someone is not kind.
Everyone who is not curious is not kind and vice versa.
Everyone who is not patient or ... | Fred is old. | entailment | (((~kind(john)&~rich(john)))<=>((creative(mary)<~>kind(mary))))&
((?[X]:((~curious(X)<~>patient(X))))<=>(?[X]:(~old(X))))&
(((humble(mary)&calm(mary)))=>(?[X]:(~kind(X))))&
(![X]:(~curious(X)<=>~kind(X)))&
(![X]:((~patient(X)|~curious(X))=>(curious(X)&funny(X))))&
(![X]:((curious(X)|old(X))<=>(kind(X)&~funny(X))))&
((~... | old(fred) | [
"p4",
"p5",
"p7",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8681243952161938993115615
% SZS output start Proof for 8681243952161938993115615
5. ! [X0] : ((~curious(X0) | ~patient(X0)) => (funny(X0) & curious(X0))) [input p4]
6. ! [X0] : ((old(X0) | curious(X0)) <=> (~funny(X0) & kind(X0))) [input p5]
8. (~tall(paul) | patient(paul)) => ~quiet(fred... | 0 |
Everyone who is either tall or rich is both rich and not strong and vice versa. If alice is funny then paul is not old or strong. Everyone who is happy is not patient and vice versa. Everyone who is not quiet or rich is curious. Everyone who is either curious or not patient is funny. Everyone who is brave or humble is ... | Alice is humble. | contradiction | (![X]:((tall(X)<~>rich(X))<=>(rich(X)&~strong(X))))&
((funny(alice))=>((~old(paul)|strong(paul))))&
(![X]:(happy(X)<=>~patient(X)))&
(![X]:((~quiet(X)|rich(X))=>curious(X)))&
(![X]:((curious(X)<~>~patient(X))=>funny(X)))&
(![X]:((brave(X)|humble(X))<=>(humble(X)&~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>~calm(X))... | humble(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6995225165572926024527415
% SZS output start Proof for 6995225165572926024527415
6. ! [X0] : ((humble(X0) | brave(X0)) <=> (~humble(X0) & humble(X0))) [input p5]
23. humble(alice) [input hypothesis]
43. ! [X0] : (((humble(X0) | brave(X0)) | (humble(X0) | ~humble(X0))) & ((~humble(X0) & hu... | 0 |
Everyone who is not funny or not creative is brave.
If lucy is not old then someone is creative or not kind.
If someone is both not wise and rich then someone is not old and vice versa.
If alice is not quiet or not generous then someone is not kind or patient and vice versa.
Everyone who is both humble and not brave is... | Lucy is not calm. | neutral | (![X]:((~funny(X)|~creative(X))=>brave(X)))&
((~old(lucy))=>(?[X]:((creative(X)|~kind(X)))))&
((?[X]:((~wise(X)&rich(X))))<=>(?[X]:(~old(X))))&
(((~quiet(alice)|~generous(alice)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((humble(X)&~brave(X))=>(quiet(X)&~patient(X))))&
(![X]:((~patient(X)&brave(X))<=>rich(X)))&
(![X]:... | ~calm(lucy) | [] | null | 0 |
If someone is humble then alice is not curious or humble and vice versa.
If someone is either not tall or calm then paul is both funny and rich and vice versa.
If alice is kind then lucy is happy and vice versa.
If paul is not creative then fred is either quiet or not happy and vice versa.
Everyone who is both happy an... | Alice is not strong. | neutral | ((?[X]:(humble(X)))<=>((~curious(alice)|humble(alice))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((funny(paul)&rich(paul))))&
((kind(alice))<=>(happy(lucy)))&
((~creative(paul))<=>((quiet(fred)<~>~happy(fred))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
((old(mary))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(stro... | ~strong(alice) | [] | null | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa. Everyone who is tall or brave is not kind. If someone is either generous or kind then alice is either strong or not strong. Everyone who is calm is funny. Everyone who is funny or not wise is either wise or quiet. Everyone who is ei... | Alice is tall. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | tall(alice) | [] | null | 0 |
If someone is calm or curious then someone is either not creative or quiet and vice versa.
Everyone who is not curious is wise.
If paul is both kind and generous then someone is both wise and rich and vice versa.
Everyone who is both curious and strong is not strong or quiet and vice versa.
Everyone who is either not h... | Paul is generous. | neutral | ((?[X]:((calm(X)|curious(X))))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:(~curious(X)=>wise(X)))&
(((kind(paul)&generous(paul)))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((curious(X)&strong(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~happy(X)<~>creative(X))=>(old(X)|generous(X))))&
(![X]:((quiet(X)|rich(X))=>(patient(X)<~>~... | generous(paul) | [] | null | 0 |
If fred is patient then fred is either not brave or quiet and vice versa.
If susan is not generous then someone is rich and vice versa.
Everyone who is either not tall or rich is both happy and tall.
Everyone who is either wise or tall is not brave.
If susan is either kind or not humble then someone is happy or patient... | Lucy is quiet. | contradiction | ((patient(fred))<=>((~brave(fred)<~>quiet(fred))))&
((~generous(susan))<=>(?[X]:(rich(X))))&
(![X]:((~tall(X)<~>rich(X))=>(happy(X)&tall(X))))&
(![X]:((wise(X)<~>tall(X))=>~brave(X)))&
(((kind(susan)<~>~humble(susan)))<=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~creative(X)|rich(X))<=>(quiet(X)<~>~curious(X))))&
(![X]:... | quiet(lucy) | [
"p2",
"p3",
"p6",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 21291046424918351159137
% SZS output start Proof for 21291046424918351159137
3. ! [X0] : ((~tall(X0) <~> rich(X0)) => (tall(X0) & happy(X0))) [input p2]
4. ! [X0] : ((wise(X0) <~> tall(X0)) => ~brave(X0)) [input p3]
7. ! [X0] : ((old(X0) & brave(X0)) <=> tall(X0)) [input p6]
13. ! [X0] : ... | 0 |
Everyone who is funny is happy or brave and vice versa.
If susan is either creative or tall then fred is not strong.
If fred is quiet or not rich then susan is not happy or not old.
Everyone who is rich or not wise is not brave.
Everyone who is not strong or not generous is strong.
If fred is either not old or kind the... | Susan is brave. | neutral | (![X]:(funny(X)<=>(happy(X)|brave(X))))&
(((creative(susan)<~>tall(susan)))=>(~strong(fred)))&
(((quiet(fred)|~rich(fred)))=>((~happy(susan)|~old(susan))))&
(![X]:((rich(X)|~wise(X))=>~brave(X)))&
(![X]:((~strong(X)|~generous(X))=>strong(X)))&
(((~old(fred)<~>kind(fred)))<=>(?[X]:(strong(X))))&
(![X]:(~brave(X)<=>(happ... | brave(susan) | [] | null | 0 |
Everyone who is not strong or creative is humble or happy and vice versa.
If someone is both not wise and curious then susan is both kind and not strong and vice versa.
If someone is not quiet or brave then alice is either brave or quiet and vice versa.
Everyone who is generous or brave is kind and vice versa.
If someo... | Lucy is humble. | neutral | (![X]:((~strong(X)|creative(X))<=>(humble(X)|happy(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((kind(susan)&~strong(susan))))&
((?[X]:((~quiet(X)|brave(X))))<=>((brave(alice)<~>quiet(alice))))&
(![X]:((generous(X)|brave(X))<=>kind(X)))&
((?[X]:((~kind(X)&calm(X))))<=>((~calm(mary)&~happy(mary))))&
(((calm(alice)|quiet(al... | humble(lucy) | [] | null | 0 |
If john is happy or curious then someone is either not tall or curious and vice versa.
Everyone who is both not tall and brave is either not strong or generous and vice versa.
Everyone who is both creative and funny is both not curious and generous and vice versa.
If john is either strong or not happy then susan is eit... | Fred is not brave. | contradiction | (((happy(john)|curious(john)))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~tall(X)&brave(X))<=>(~strong(X)<~>generous(X))))&
(![X]:((creative(X)&funny(X))<=>(~curious(X)&generous(X))))&
(((strong(john)<~>~happy(john)))=>((calm(susan)<~>strong(susan))))&
(![X]:((~curious(X)&wise(X))=>(~tall(X)&calm(X))))&
(![X]:((wise... | ~brave(fred) | [
"p1",
"p2",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 207933508391379338183842
% SZS output start Proof for 207933508391379338183842
2. ! [X0] : ((brave(X0) & ~tall(X0)) <=> (~strong(X0) <~> generous(X0))) [input p1]
3. ! [X0] : ((funny(X0) & creative(X0)) <=> (generous(X0) & ~curious(X0))) [input p2]
8. ! [X0] : (humble(X0) <=> ~generous(X0... | 0 |
Everyone who is both not humble and rich is either old or humble.
Everyone who is both not strong and not curious is either not funny or old and vice versa.
Everyone who is either funny or creative is tall.
If john is both not happy and brave then john is not rich or not patient and vice versa.
Everyone who is both not... | Paul is not old. | contradiction | (![X]:((~humble(X)&rich(X))=>(old(X)<~>humble(X))))&
(![X]:((~strong(X)&~curious(X))<=>(~funny(X)<~>old(X))))&
(![X]:((funny(X)<~>creative(X))=>tall(X)))&
(((~happy(john)&brave(john)))<=>((~rich(john)|~patient(john))))&
(![X]:((~generous(X)&~strong(X))=>curious(X)))&
((~wise(mary))<=>(?[X]:((~happy(X)<~>happy(X)))))&
(... | ~old(paul) | [
"p1",
"p4",
"p10",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 475431434732849772764369
% SZS output start Proof for 475431434732849772764369
2. ! [X0] : ((~curious(X0) & ~strong(X0)) <=> (~funny(X0) <~> old(X0))) [input p1]
5. ! [X0] : ((~strong(X0) & ~generous(X0)) => curious(X0)) [input p4]
11. ! [X0] : ((happy(X0) & funny(X0)) <=> (tall(X0) <~> p... | 0 |
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