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 mary is both not kind and quiet then someone is both creative and rich. Everyone who is both not humble and not curious is not rich and vice versa. If someone is both not funny and not rich then someone is either not generous or not old. If someone is not generous or happy then someone is not creative and vice versa... | Fred is not curious. | entailment | (((~kind(mary)&quiet(mary)))=>(?[X]:((creative(X)&rich(X)))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))&
(![X]:((~kind(X)&kind(X))<=>(old(X)<~>tall(X))... | ~curious(fred) | [
"p1",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6677608589707044189090
% SZS output start Proof for 6677608589707044189090
2. ! [X0] : ((~curious(X0) & ~humble(X0)) <=> ~rich(X0)) [input p1]
5. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p4]
12. ! [X0] : ((rich(X0) | generous(X0)) => (old(X0) <~> rich(X0))) [input p11]
24. curi... | 0 |
If lucy is not patient or generous then someone is either creative or not patient and vice versa.
Everyone who is either creative or kind is both not generous and tall.
If someone is wise or not funny then someone is either not generous or not creative.
Everyone who is not generous or curious is either patient or funny... | Fred is not brave. | neutral | (((~patient(lucy)|generous(lucy)))<=>(?[X]:((creative(X)<~>~patient(X)))))&
(![X]:((creative(X)<~>kind(X))=>(~generous(X)&tall(X))))&
((?[X]:((wise(X)|~funny(X))))=>(?[X]:((~generous(X)<~>~creative(X)))))&
(![X]:((~generous(X)|curious(X))<=>(patient(X)<~>funny(X))))&
(![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~... | ~brave(fred) | [] | null | 0 |
Everyone who is not funny is patient or wise and vice versa. Everyone who is old is rich and vice versa. Everyone who is creative is either funny or not funny. If someone is both strong and not old then someone is kind or not funny. Everyone who is brave or not wise is either creative or quiet and vice versa. Everyone ... | Susan is not generous. | contradiction | (![X]:(~funny(X)<=>(patient(X)|wise(X))))&
(![X]:(old(X)<=>rich(X)))&
(![X]:(creative(X)=>(funny(X)<~>~funny(X))))&
((?[X]:((strong(X)&~old(X))))=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((brave(X)|~wise(X))<=>(creative(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>curious(X))=>(~brave(X)|~generous(X))))&
(![X]:((~humble(X)&~stro... | ~generous(susan) | [
"p1",
"p7",
"p8",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8528094176531103097895567
% SZS output start Proof for 8528094176531103097895567
2. ! [X0] : (old(X0) <=> rich(X0)) [input p1]
8. ! [X0] : (~patient(X0) <=> (tall(X0) | ~creative(X0))) [input p7]
9. ! [X0] : ((~humble(X0) & ~generous(X0)) => (~strong(X0) & kind(X0))) [input p8]
14. ! [X0]... | 0 |
Everyone who is tall is either not happy or not humble and vice versa.
Everyone who is both strong and not funny is kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone is either not generous or rich and vice versa.
If john is both brave and kind th... | Fred is not patient. | neutral | (![X]:(tall(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((?[X]:((~tall(X)|~strong(X))))<=>(humble(john)))&
(![X]:(... | ~patient(fred) | [] | null | 0 |
Everyone who is both not humble and not old is not patient or quiet and vice versa.
If alice is both not strong and not quiet then someone is either not brave or not strong and vice versa.
Everyone who is both happy and kind is both not wise and not old and vice versa.
Everyone who is either kind or not rich is happy.
... | Alice is not funny. | neutral | (![X]:((~humble(X)&~old(X))<=>(~patient(X)|quiet(X))))&
(((~strong(alice)&~quiet(alice)))<=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((happy(X)&kind(X))<=>(~wise(X)&~old(X))))&
(![X]:((kind(X)<~>~rich(X))=>happy(X)))&
(![X]:(curious(X)=>(old(X)|~funny(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(~humble(X)<~>~tall(X))))&
(... | ~funny(alice) | [] | null | 0 |
If fred is wise or not kind then someone is not kind or not funny and vice versa.
Everyone who is happy is not old or not brave and vice versa.
Everyone who is either not tall or not funny is not tall and vice versa.
If someone is kind then someone is quiet.
If susan is either old or not creative then someone is humble... | Paul is generous. | entailment | (((wise(fred)|~kind(fred)))<=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:(happy(X)<=>(~old(X)|~brave(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>~tall(X)))&
((?[X]:(kind(X)))=>(?[X]:(quiet(X))))&
(((old(susan)<~>~creative(susan)))=>(?[X]:((humble(X)|~kind(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((g... | generous(paul) | [
"p2",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6448395828851566552207349
% SZS output start Proof for 6448395828851566552207349
3. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((~funny(X0) & generous(X0)) <=> old(X0)) [input p6]
10. ! [X0] : (~calm(X0) => (old(X0) & funny(X0))) [input p9]
14. (~curious(pa... | 0 |
Everyone who is brave is happy or strong.
If someone is curious or not tall then mary is kind or not patient.
If mary is creative or not quiet then lucy is humble or generous.
Everyone who is either strong or wise is wise or not calm.
Everyone who is not funny or brave is both brave and not calm.
If fred is both not ol... | Mary is not happy. | contradiction | (![X]:(brave(X)=>(happy(X)|strong(X))))&
((?[X]:((curious(X)|~tall(X))))=>((kind(mary)|~patient(mary))))&
(((creative(mary)|~quiet(mary)))=>((humble(lucy)|generous(lucy))))&
(![X]:((strong(X)<~>wise(X))=>(wise(X)|~calm(X))))&
(![X]:((~funny(X)|brave(X))=>(brave(X)&~calm(X))))&
(((~old(fred)&tall(fred)))<=>(?[X]:((creat... | ~happy(mary) | [
"p0",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 956967966509012913360840
% SZS output start Proof for 956967966509012913360840
1. ! [X0] : (brave(X0) => (strong(X0) | happy(X0))) [input p0]
5. ! [X0] : ((brave(X0) | ~funny(X0)) => (~calm(X0) & brave(X0))) [input p4]
6. (tall(fred) & ~old(fred)) <=> ? [X0] : (funny(X0) | creative(X0)) [... | 0 |
If john is not brave or not strong then someone is funny.
Everyone who is either strong or curious is not strong or brave and vice versa.
Everyone who is creative or kind is not happy.
If someone is both not generous and not curious then lucy is not generous or not wise.
Everyone who is either calm or not brave is not ... | John is not creative. | entailment | (((~brave(john)|~strong(john)))=>(?[X]:(funny(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
(![X]:((creative(X)|kind(X))=>~happy(X)))&
((?[X]:((~generous(X)&~curious(X))))=>((~generous(lucy)|~wise(lucy))))&
(![X]:((calm(X)<~>~brave(X))=>(~creative(X)|~calm(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>((~... | ~creative(john) | [
"p1",
"p2",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 741139129589794078478755
% SZS output start Proof for 741139129589794078478755
2. ! [X0] : ((strong(X0) <~> curious(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
3. ! [X0] : ((kind(X0) | creative(X0)) => ~happy(X0)) [input p2]
13. ! [X0] : ((brave(X0) | happy(X0)) => (happy(X0) & ~rich(X... | 0 |
If someone is old or curious then paul is both not funny and wise.
If mary is not kind or humble then someone is either quiet or not tall.
If someone is both not kind and happy then someone is not creative and vice versa.
Everyone who is both not creative and not old is either quiet or brave.
Everyone who is either not... | Alice is not kind. | contradiction | ((?[X]:((old(X)|curious(X))))=>((~funny(paul)&wise(paul))))&
(((~kind(mary)|humble(mary)))=>(?[X]:((quiet(X)<~>~tall(X)))))&
((?[X]:((~kind(X)&happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~creative(X)&~old(X))=>(quiet(X)<~>brave(X))))&
(![X]:((~calm(X)<~>rich(X))=>(~happy(X)&kind(X))))&
(((~wise(fred)&~patient(fred)))... | ~kind(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6133487105643876566488694
% SZS output start Proof for 6133487105643876566488694
20. kind(alice) & ~funny(alice) [input p19]
25. ~kind(alice) [input hypothesis]
33. kind(alice) [pure predicate removal 20]
143. kind(alice) [cnf transformation 33]
148. ~kind(alice) [cnf transformation 25]
3... | 0 |
If someone is wise then john is old or generous.
Everyone who is rich is both not brave and old and vice versa.
Everyone who is both calm and brave is rich or wise and vice versa.
If someone is both humble and not brave then someone is either not strong or happy and vice versa.
If alice is not rich or not wise then sus... | Alice is old. | neutral | ((?[X]:(wise(X)))=>((old(john)|generous(john))))&
(![X]:(rich(X)<=>(~brave(X)&old(X))))&
(![X]:((calm(X)&brave(X))<=>(rich(X)|wise(X))))&
((?[X]:((humble(X)&~brave(X))))<=>(?[X]:((~strong(X)<~>happy(X)))))&
(((~rich(alice)|~wise(alice)))<=>((kind(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>(patient(X)<~>~qu... | old(alice) | [] | null | 0 |
If someone is calm or not patient then paul is both not curious and funny.
Everyone who is happy is either not brave or tall and vice versa.
If someone is not humble then someone is quiet or wise and vice versa.
If someone is either not kind or not strong then someone is either funny or old and vice versa.
If someone i... | John is not kind. | entailment | ((?[X]:((calm(X)|~patient(X))))=>((~curious(paul)&funny(paul))))&
(![X]:(happy(X)<=>(~brave(X)<~>tall(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((quiet(X)|wise(X)))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>(?[X]:((funny(X)<~>old(X)))))&
((?[X]:(humble(X)))<=>((~generous(alice)|~strong(alice))))&
(![X]:((wise(X)&~strong(X))=>(~... | ~kind(john) | [
"p1",
"p7",
"p8",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3323021503412810632293844
% SZS output start Proof for 3323021503412810632293844
2. ! [X0] : (happy(X0) <=> (~brave(X0) <~> tall(X0))) [input p1]
8. ! [X0] : (tall(X0) <=> (curious(X0) | strong(X0))) [input p7]
9. ! [X0] : (kind(X0) <=> (happy(X0) <~> ~tall(X0))) [input p8]
19. ~brave(joh... | 0 |
Everyone who is either funny or patient is both not strong and kind.
Everyone who is not tall is either funny or not generous and vice versa.
If susan is not calm then someone is either curious or not rich and vice versa.
Everyone who is humble or not happy is either not happy or not generous and vice versa.
If lucy is... | Mary is wise. | entailment | (![X]:((funny(X)<~>patient(X))=>(~strong(X)&kind(X))))&
(![X]:(~tall(X)<=>(funny(X)<~>~generous(X))))&
((~calm(susan))<=>(?[X]:((curious(X)<~>~rich(X)))))&
(![X]:((humble(X)|~happy(X))<=>(~happy(X)<~>~generous(X))))&
(((strong(lucy)|quiet(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((curious(X)|~happy(X))=>(generous(X)<~>~g... | wise(mary) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8633834929326038643900493
% SZS output start Proof for 8633834929326038643900493
8. ! [X0] : ((~wise(X0) <~> patient(X0)) <=> (~creative(X0) | patient(X0))) [input p7]
17. creative(mary) [input p16]
25. ~wise(mary) [input hypothesis]
55. ! [X0] : ((((~patient(X0) | wise(X0)) & (patient(X0... | 0 |
If susan is both not calm and generous then mary is both tall and not curious.
If someone is funny or not generous then someone is either patient or quiet.
Everyone who is either not strong or not generous is brave or not creative.
If someone is rich then susan is both not patient and strong.
Everyone who is funny or o... | Paul is creative. | entailment | (((~calm(susan)&generous(susan)))=>((tall(mary)&~curious(mary))))&
((?[X]:((funny(X)|~generous(X))))=>(?[X]:((patient(X)<~>quiet(X)))))&
(![X]:((~strong(X)<~>~generous(X))=>(brave(X)|~creative(X))))&
((?[X]:(rich(X)))=>((~patient(susan)&strong(susan))))&
(![X]:((funny(X)|old(X))=>(~strong(X)&kind(X))))&
(![X]:((~calm(X... | creative(paul) | [
"p4",
"p6",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3450838280190229577295899
% SZS output start Proof for 3450838280190229577295899
5. ! [X0] : ((old(X0) | funny(X0)) => (kind(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((humble(X0) | ~old(X0)) <=> (generous(X0) & ~tall(X0))) [input p6]
10. creative(paul) <=> (~tall(john) & ~funny(john)) [... | 0 |
Everyone who is either funny or not rich is either humble or curious and vice versa. Everyone who is both not patient and not old is both humble and quiet. If someone is calm or brave then paul is not quiet or creative and vice versa. If someone is not old or not creative then paul is both not wise and kind and vice ve... | Mary is strong. | neutral | (![X]:((funny(X)<~>~rich(X))<=>(humble(X)<~>curious(X))))&
(![X]:((~patient(X)&~old(X))=>(humble(X)&quiet(X))))&
((?[X]:((calm(X)|brave(X))))<=>((~quiet(paul)|creative(paul))))&
((?[X]:((~old(X)|~creative(X))))<=>((~wise(paul)&kind(paul))))&
(((kind(john)|~calm(john)))<=>(?[X]:((~kind(X)|~humble(X)))))&
((tall(paul))<=... | strong(mary) | [] | null | 0 |
If lucy is both creative and tall then alice is both funny and generous.
If fred is rich or not calm then mary is either kind or not kind and vice versa.
Everyone who is either not curious or not rich is either not wise or wise and vice versa.
If paul is either happy or not wise then someone is both happy and rich.
If ... | Paul is funny. | entailment | (((creative(lucy)&tall(lucy)))=>((funny(alice)&generous(alice))))&
(((rich(fred)|~calm(fred)))<=>((kind(mary)<~>~kind(mary))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~wise(X)<~>wise(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((happy(X)&rich(X)))))&
((?[X]:((patient(X)|old(X))))<=>((~quiet(mary)&funny(mary))))&
((?[X]:((... | funny(paul) | [
"p4",
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8374743825423052919597603
% SZS output start Proof for 8374743825423052919597603
5. ? [X0] : (old(X0) | patient(X0)) <=> (funny(mary) & ~quiet(mary)) [input p4]
7. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (funny(X0) | ~old(X0))) [input p6]
9. ! [X0] : (kind(X0) <=> (calm(X0) & funny(X0))) [i... | 0 |
If someone is either quiet or not generous then someone is either tall or creative.
Everyone who is either not brave or rich is not funny.
If someone is not wise or rich then paul is generous.
Everyone who is both generous and creative is both not happy and not rich and vice versa.
If someone is not creative or tall th... | Paul is not curious. | neutral | ((?[X]:((quiet(X)<~>~generous(X))))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((~brave(X)<~>rich(X))=>~funny(X)))&
((?[X]:((~wise(X)|rich(X))))=>(generous(paul)))&
(![X]:((generous(X)&creative(X))<=>(~happy(X)&~rich(X))))&
((?[X]:((~creative(X)|tall(X))))=>(?[X]:(quiet(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:(... | ~curious(paul) | [] | null | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If lucy is either old or quiet then someone is not funny.
Everyone who is both not rich and not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative... | Susan is not strong. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((old(lucy)<~>quiet(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=... | ~strong(susan) | [] | null | 0 |
If john is not kind then someone is wise or funny.
Everyone who is humble or tall is not quiet or curious.
If someone is strong then alice is creative and vice versa.
If alice is tall or not quiet then someone is humble or not quiet and vice versa.
If alice is not calm then someone is either tall or not tall and vice v... | Alice is not kind. | neutral | ((~kind(john))=>(?[X]:((wise(X)|funny(X)))))&
(![X]:((humble(X)|tall(X))=>(~quiet(X)|curious(X))))&
((?[X]:(strong(X)))<=>(creative(alice)))&
(((tall(alice)|~quiet(alice)))<=>(?[X]:((humble(X)|~quiet(X)))))&
((~calm(alice))<=>(?[X]:((tall(X)<~>~tall(X)))))&
(![X]:(~patient(X)<=>(calm(X)<~>~generous(X))))&
(![X]:((~gene... | ~kind(alice) | [] | null | 0 |
Everyone who is either not curious or curious is not quiet or not creative.
If someone is curious then someone is not quiet and vice versa.
If lucy is both not rich and not funny then someone is not funny or funny.
Everyone who is either not old or not quiet is both patient and happy and vice versa.
If john is brave or... | Fred is not brave. | entailment | (![X]:((~curious(X)<~>curious(X))=>(~quiet(X)|~creative(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~quiet(X))))&
(((~rich(lucy)&~funny(lucy)))=>(?[X]:((~funny(X)|funny(X)))))&
(![X]:((~old(X)<~>~quiet(X))<=>(patient(X)&happy(X))))&
(((brave(john)|~tall(john)))=>(~humble(alice)))&
((?[X]:((kind(X)&old(X))))<=>(?[X]:(patient(X... | ~brave(fred) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2856578070337217223440692
% SZS output start Proof for 2856578070337217223440692
7. ! [X0] : ((old(X0) & funny(X0)) <=> (generous(X0) | brave(X0))) [input p6]
21. ~funny(fred) & ~calm(fred) [input p20]
24. brave(fred) [input hypothesis]
53. ! [X0] : (((old(X0) & funny(X0)) | (~generous(X0... | 0 |
If someone is both not tall and not strong then someone is rich and vice versa.
Everyone who is either tall or wise is strong or not kind.
If someone is calm or humble then someone is not creative or curious and vice versa.
If paul is both not humble and not patient then someone is either not funny or calm and vice ver... | Paul is old. | entailment | ((?[X]:((~tall(X)&~strong(X))))<=>(?[X]:(rich(X))))&
(![X]:((tall(X)<~>wise(X))=>(strong(X)|~kind(X))))&
((?[X]:((calm(X)|humble(X))))<=>(?[X]:((~creative(X)|curious(X)))))&
(((~humble(paul)&~patient(paul)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((patient(X)|~strong(X))=>(~curious(X)|funny(X))))&
(![X]:(~creative(X)... | old(paul) | [
"p3",
"p9",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2421503490128155084768084
% SZS output start Proof for 2421503490128155084768084
4. (~patient(paul) & ~humble(paul)) <=> ? [X0] : (~funny(X0) <~> calm(X0)) [input p3]
10. ! [X0] : ((wise(X0) | tall(X0)) <=> patient(X0)) [input p9]
14. ! [X0] : (~tall(X0) <=> (old(X0) | quiet(X0))) [input ... | 0 |
Everyone who is either creative or calm is not quiet or not wise and vice versa. If someone is not old or kind then john is not wise or not creative and vice versa. If someone is not quiet then someone is strong or kind. If fred is not patient then someone is calm. Everyone who is not happy or not patient is not old or... | Susan is not tall. | entailment | (![X]:((creative(X)<~>calm(X))<=>(~quiet(X)|~wise(X))))&
((?[X]:((~old(X)|kind(X))))<=>((~wise(john)|~creative(john))))&
((?[X]:(~quiet(X)))=>(?[X]:((strong(X)|kind(X)))))&
((~patient(fred))=>(?[X]:(calm(X))))&
(![X]:((~happy(X)|~patient(X))=>(~old(X)|~generous(X))))&
(![X]:((~funny(X)&~calm(X))<=>(~creative(X)<~>~tall... | ~tall(susan) | [
"p0",
"p5",
"p7",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4201566805401388830435796
% SZS output start Proof for 4201566805401388830435796
1. ! [X0] : ((creative(X0) <~> calm(X0)) <=> (~wise(X0) | ~quiet(X0))) [input p0]
6. ! [X0] : ((~calm(X0) & ~funny(X0)) <=> (~creative(X0) <~> ~tall(X0))) [input p5]
8. ! [X0] : ((~patient(X0) <~> funny(X0)) ... | 0 |
If fred is both not tall and old then someone is either patient or happy and vice versa.
If someone is not patient or not strong then someone is not creative.
If someone is not rich or not strong then someone is not tall and vice versa.
Everyone who is either not happy or funny is either wise or rich.
Everyone who is e... | Lucy is wise. | entailment | (((~tall(fred)&old(fred)))<=>(?[X]:((patient(X)<~>happy(X)))))&
((?[X]:((~patient(X)|~strong(X))))=>(?[X]:(~creative(X))))&
((?[X]:((~rich(X)|~strong(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~happy(X)<~>funny(X))=>(wise(X)<~>rich(X))))&
(![X]:((curious(X)<~>~tall(X))=>creative(X)))&
((?[X]:((wise(X)|~tall(X))))=>((happy(fre... | wise(lucy) | [
"p7",
"p8",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1295904428087722334777702
% SZS output start Proof for 1295904428087722334777702
8. (~creative(lucy) <~> humble(lucy)) <=> ? [X0] : (funny(X0) | brave(X0)) [input p7]
9. ! [X0] : ((quiet(X0) | ~wise(X0)) <=> (~humble(X0) & curious(X0))) [input p8]
18. ? [X0] : (strong(X0) & funny(X0)) [in... | 0 |
If paul is both not creative and kind then susan is both happy and not tall.
Everyone who is not quiet or old is not patient or calm and vice versa.
If someone is not creative then paul is old and vice versa.
If susan is either generous or not quiet then lucy is not rich.
Everyone who is wise is creative or happy and v... | Paul is generous. | contradiction | (((~creative(paul)&kind(paul)))=>((happy(susan)&~tall(susan))))&
(![X]:((~quiet(X)|old(X))<=>(~patient(X)|calm(X))))&
((?[X]:(~creative(X)))<=>(old(paul)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~c... | generous(paul) | [
"p2",
"p5",
"p7",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4857251866860086610613910
% SZS output start Proof for 4857251866860086610613910
3. ? [X0] : ~creative(X0) <=> old(paul) [input p2]
6. ! [X0] : (funny(X0) <=> (generous(X0) & ~creative(X0))) [input p5]
8. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [input p7]
9. ? [X0] : (creative(... | 0 |
Everyone who is both not rich and not humble is both strong and not curious.
Everyone who is either not rich or not kind is both not patient and calm.
Everyone who is curious or patient is not patient or not tall and vice versa.
If john is either not tall or not old then someone is not tall and vice versa.
Everyone who... | Paul is not calm. | contradiction | (![X]:((~rich(X)&~humble(X))=>(strong(X)&~curious(X))))&
(![X]:((~rich(X)<~>~kind(X))=>(~patient(X)&calm(X))))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)|~tall(X))))&
(((~tall(john)<~>~old(john)))<=>(?[X]:(~tall(X))))&
(![X]:((calm(X)<~>~curious(X))=>~quiet(X)))&
(![X]:(generous(X)=>(~curious(X)&humble(X))))&
((?[X... | ~calm(paul) | [
"p2",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 418241650494531101929862
% SZS output start Proof for 418241650494531101929862
3. ! [X0] : ((patient(X0) | curious(X0)) <=> (~tall(X0) | ~patient(X0))) [input p2]
6. ! [X0] : (generous(X0) => (humble(X0) & ~curious(X0))) [input p5]
8. ! [X0] : (~calm(X0) <=> (~patient(X0) & ~tall(X0))) [i... | 0 |
If lucy is strong then someone is tall and vice versa.
If someone is either old or not funny then susan is patient or happy and vice versa.
If alice is not brave then fred is not wise or brave.
If fred is both kind and creative then someone is both humble and not old.
If alice is either not kind or brave then alice is ... | Lucy is not strong. | neutral | ((strong(lucy))<=>(?[X]:(tall(X))))&
((?[X]:((old(X)<~>~funny(X))))<=>((patient(susan)|happy(susan))))&
((~brave(alice))=>((~wise(fred)|brave(fred))))&
(((kind(fred)&creative(fred)))=>(?[X]:((humble(X)&~old(X)))))&
(((~kind(alice)<~>brave(alice)))=>((generous(alice)|strong(alice))))&
(![X]:(~humble(X)<=>(~quiet(X)|stro... | ~strong(lucy) | [] | null | 0 |
If someone is humble then paul is both not old and humble and vice versa.
Everyone who is creative is either not humble or not quiet and vice versa.
If someone is either not tall or not strong then susan is not patient or humble and vice versa.
If someone is both not creative and not curious then mary is either not hum... | Paul is not brave. | neutral | ((?[X]:(humble(X)))<=>((~old(paul)&humble(paul))))&
(![X]:(creative(X)<=>(~humble(X)<~>~quiet(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>((~patient(susan)|humble(susan))))&
((?[X]:((~creative(X)&~curious(X))))<=>((~humble(mary)<~>~creative(mary))))&
((?[X]:((~funny(X)&kind(X))))<=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:... | ~brave(paul) | [] | null | 0 |
If mary is generous then lucy is not happy or quiet.
Everyone who is creative or patient is either old or generous and vice versa.
Everyone who is either not old or not generous is either not quiet or curious and vice versa.
Everyone who is patient or brave is not happy or not rich.
If alice is not strong or not curiou... | Fred is creative. | neutral | ((generous(mary))=>((~happy(lucy)|quiet(lucy))))&
(![X]:((creative(X)|patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)|brave(X))=>(~happy(X)|~rich(X))))&
(((~strong(alice)|~curious(alice)))<=>(patient(lucy)))&
((?[X]:((creative(X)<~>~wise(X))))=>(?... | creative(fred) | [] | null | 0 |
Everyone who is humble is not old or happy. Everyone who is tall is not strong and vice versa. Everyone who is either brave or not calm is either strong or wise. Everyone who is not humble is brave or not generous. If someone is either quiet or not quiet then someone is not funny or not creative and vice versa. If fred... | Fred is not humble. | neutral | (![X]:(humble(X)=>(~old(X)|happy(X))))&
(![X]:(tall(X)<=>~strong(X)))&
(![X]:((brave(X)<~>~calm(X))=>(strong(X)<~>wise(X))))&
(![X]:(~humble(X)=>(brave(X)|~generous(X))))&
((?[X]:((quiet(X)<~>~quiet(X))))<=>(?[X]:((~funny(X)|~creative(X)))))&
(((~brave(fred)|~humble(fred)))=>(?[X]:((old(X)&happy(X)))))&
(![X]:((~patien... | ~humble(fred) | [] | null | 0 |
Everyone who is both strong and not creative is both patient and not quiet and vice versa.
If someone is either not tall or happy then paul is not curious or not wise.
If someone is patient then lucy is either not humble or wise.
Everyone who is both patient and not tall is either patient or not generous and vice versa... | Lucy is not curious. | entailment | (![X]:((strong(X)&~creative(X))<=>(patient(X)&~quiet(X))))&
((?[X]:((~tall(X)<~>happy(X))))=>((~curious(paul)|~wise(paul))))&
((?[X]:(patient(X)))=>((~humble(lucy)<~>wise(lucy))))&
(![X]:((patient(X)&~tall(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:(old(X)))<=>((curious(john)|calm(john))))&
(![X]:((curious(X)|~kind(X)... | ~curious(lucy) | [
"p0",
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 558157448286395723195129
% SZS output start Proof for 558157448286395723195129
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~quiet(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (patient(X0) <~> ~generous(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | curious(X0))... | 0 |
If someone is happy or not humble then alice is both not humble and funny. If someone is both not curious and rich then fred is both funny and not curious and vice versa. Everyone who is either not strong or rich is humble or not brave. Everyone who is kind or brave is both not quiet and patient. Everyone who is both n... | Fred is humble. | entailment | ((?[X]:((happy(X)|~humble(X))))=>((~humble(alice)&funny(alice))))&
((?[X]:((~curious(X)&rich(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((~strong(X)<~>rich(X))=>(humble(X)|~brave(X))))&
(![X]:((kind(X)|brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((~tall(X)&~curious(X))=>strong(X)))&
(![X]:((~happy(X)|brave(X))<=>(~t... | humble(fred) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4523894591339637070243105
% SZS output start Proof for 4523894591339637070243105
1. ? [X0] : (~humble(X0) | happy(X0)) => (funny(alice) & ~humble(alice)) [input p0]
4. ! [X0] : ((brave(X0) | kind(X0)) => (patient(X0) & ~quiet(X0))) [input p3]
7. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (... | 0 |
Everyone who is either patient or not old is generous or not curious.
Everyone who is both humble and strong is not calm and vice versa.
Everyone who is not rich is either strong or not happy.
If someone is not brave or not strong then john is both rich and not old.
Everyone who is not kind or not strong is humble and ... | Paul is not funny. | entailment | (![X]:((patient(X)<~>~old(X))=>(generous(X)|~curious(X))))&
(![X]:((humble(X)&strong(X))<=>~calm(X)))&
(![X]:(~rich(X)=>(strong(X)<~>~happy(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((rich(john)&~old(john))))&
(![X]:((~kind(X)|~strong(X))<=>humble(X)))&
((~patient(john))=>(?[X]:((~creative(X)<~>curious(X)))))&
((?[X]:((... | ~funny(paul) | [
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1607224451797146180502777
% SZS output start Proof for 1607224451797146180502777
5. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> humble(X0)) [input p4]
9. ! [X0] : ((strong(X0) | humble(X0)) => (calm(X0) & quiet(X0))) [input p8]
11. ! [X0] : (funny(X0) => (~quiet(X0) & ~rich(X0))) [input p10]
... | 0 |
If john is generous or not kind then lucy is not quiet and vice versa.
Everyone who is either not quiet or not brave is not curious and vice versa.
If someone is not wise or not patient then someone is both not funny and not kind and vice versa.
If someone is either not curious or old then someone is both quiet and not... | Lucy is old. | contradiction | (((generous(john)|~kind(john)))<=>(~quiet(lucy)))&
(![X]:((~quiet(X)<~>~brave(X))<=>~curious(X)))&
((?[X]:((~wise(X)|~patient(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
((?[X]:((~curious(X)<~>old(X))))=>(?[X]:((quiet(X)&~creative(X)))))&
(![X]:((~creative(X)<~>old(X))<=>~creative(X)))&
((?[X]:((humble(X)<~>old(X))))=>((~t... | old(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3984838048607448102777772
% SZS output start Proof for 3984838048607448102777772
5. ! [X0] : ((~creative(X0) <~> old(X0)) <=> ~creative(X0)) [input p4]
23. old(lucy) [input hypothesis]
51. ! [X0] : ((((~old(X0) | creative(X0)) & (old(X0) | ~creative(X0))) | creative(X0)) & (~creative(X0) ... | 0 |
If someone is humble then someone is not wise and vice versa.
If fred is not creative then someone is either not generous or not brave and vice versa.
If lucy is both calm and not rich then lucy is not patient or wise and vice versa.
Everyone who is both not funny and not patient is both not creative and quiet and vice... | Lucy is not calm. | contradiction | ((?[X]:(humble(X)))<=>(?[X]:(~wise(X))))&
((~creative(fred))<=>(?[X]:((~generous(X)<~>~brave(X)))))&
(((calm(lucy)&~rich(lucy)))<=>((~patient(lucy)|wise(lucy))))&
(![X]:((~funny(X)&~patient(X))<=>(~creative(X)&quiet(X))))&
(![X]:((~tall(X)|generous(X))=>happy(X)))&
((?[X]:((~kind(X)|creative(X))))<=>((~kind(susan)&kind... | ~calm(lucy) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4270168825461190958238890
% SZS output start Proof for 4270168825461190958238890
3. (~rich(lucy) & calm(lucy)) <=> (wise(lucy) | ~patient(lucy)) [input p2]
4. ! [X0] : ((~patient(X0) & ~funny(X0)) <=> (quiet(X0) & ~creative(X0))) [input p3]
5. ! [X0] : ((generous(X0) | ~tall(X0)) => happy... | 0 |
If fred is happy then someone is not wise and vice versa.
Everyone who is either curious or not happy is not happy or patient and vice versa.
Everyone who is brave or not kind is not kind.
If alice is both wise and funny then someone is not happy.
If paul is either not calm or not brave then john is quiet or not genero... | Alice is rich. | contradiction | ((happy(fred))<=>(?[X]:(~wise(X))))&
(![X]:((curious(X)<~>~happy(X))<=>(~happy(X)|patient(X))))&
(![X]:((brave(X)|~kind(X))=>~kind(X)))&
(((wise(alice)&funny(alice)))=>(?[X]:(~happy(X))))&
(((~calm(paul)<~>~brave(paul)))<=>((quiet(john)|~generous(john))))&
(![X]:((~generous(X)|rich(X))<=>(~happy(X)<~>~curious(X))))&
(!... | rich(alice) | [
"p1",
"p5",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1589844729691632787685312
% SZS output start Proof for 1589844729691632787685312
2. ! [X0] : ((curious(X0) <~> ~happy(X0)) <=> (patient(X0) | ~happy(X0))) [input p1]
6. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (~happy(X0) <~> ~curious(X0))) [input p5]
7. ! [X0] : ((wise(X0) | curious(X0))... | 0 |
Everyone who is either funny or curious is either quiet or kind.
If john is both happy and wise then lucy is both tall and funny.
Everyone who is not kind is either not patient or patient.
If mary is not strong or old then someone is rich or happy and vice versa.
Everyone who is not wise is either humble or not wise.
E... | Lucy is tall. | neutral | (![X]:((funny(X)<~>curious(X))=>(quiet(X)<~>kind(X))))&
(((happy(john)&wise(john)))=>((tall(lucy)&funny(lucy))))&
(![X]:(~kind(X)=>(~patient(X)<~>patient(X))))&
(((~strong(mary)|old(mary)))<=>(?[X]:((rich(X)|happy(X)))))&
(![X]:(~wise(X)=>(humble(X)<~>~wise(X))))&
(![X]:((quiet(X)&~humble(X))<=>(~curious(X)|~funny(X)))... | tall(lucy) | [] | null | 0 |
If someone is either brave or not generous then someone is not calm or not curious.
If someone is either not rich or humble then john is either patient or brave.
Everyone who is not creative or not old is not happy.
If someone is not brave then someone is not generous or brave and vice versa.
If lucy is brave then some... | Fred is not funny. | contradiction | ((?[X]:((brave(X)<~>~generous(X))))=>(?[X]:((~calm(X)|~curious(X)))))&
((?[X]:((~rich(X)<~>humble(X))))=>((patient(john)<~>brave(john))))&
(![X]:((~creative(X)|~old(X))=>~happy(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~generous(X)|brave(X)))))&
((brave(lucy))<=>(?[X]:(~patient(X))))&
(![X]:((happy(X)|~humble(X))=>(~patient(... | ~funny(fred) | [
"p2",
"p7",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4105284759803304803251087
% SZS output start Proof for 4105284759803304803251087
3. ! [X0] : ((~old(X0) | ~creative(X0)) => ~happy(X0)) [input p2]
8. ! [X0] : ((generous(X0) & funny(X0)) <=> (quiet(X0) | ~calm(X0))) [input p7]
12. ! [X0] : (calm(X0) <=> (~brave(X0) & happy(X0))) [input p1... | 0 |
If someone is not kind then paul is both not brave and not patient.
If someone is either creative or humble then paul is either not old or not happy.
If lucy is either not happy or not quiet then lucy is not brave or not strong.
Everyone who is happy is quiet.
If susan is either wise or not strong then susan is wise an... | Mary is kind. | neutral | ((?[X]:(~kind(X)))=>((~brave(paul)&~patient(paul))))&
((?[X]:((creative(X)<~>humble(X))))=>((~old(paul)<~>~happy(paul))))&
(((~happy(lucy)<~>~quiet(lucy)))=>((~brave(lucy)|~strong(lucy))))&
(![X]:(happy(X)=>quiet(X)))&
(((wise(susan)<~>~strong(susan)))<=>(wise(susan)))&
((?[X]:(funny(X)))<=>((~calm(mary)&~curious(mary)... | kind(mary) | [] | null | 0 |
Everyone who is either not tall or strong is both strong and not kind and vice versa.
If mary is creative then mary is both brave and strong.
Everyone who is not old or humble is quiet and vice versa.
Everyone who is funny or tall is both not tall and kind.
If someone is both not rich and not wise then alice is curious... | Mary is old. | contradiction | (![X]:((~tall(X)<~>strong(X))<=>(strong(X)&~kind(X))))&
((creative(mary))=>((brave(mary)&strong(mary))))&
(![X]:((~old(X)|humble(X))<=>quiet(X)))&
(![X]:((funny(X)|tall(X))=>(~tall(X)&kind(X))))&
((?[X]:((~rich(X)&~wise(X))))<=>((curious(alice)|~generous(alice))))&
(![X]:((creative(X)&patient(X))=>(patient(X)&~curious(... | old(mary) | [
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2177968675414658343605098
% SZS output start Proof for 2177968675414658343605098
4. ! [X0] : ((tall(X0) | funny(X0)) => (kind(X0) & ~tall(X0))) [input p3]
14. ! [X0] : ((~creative(X0) & ~old(X0)) <=> ~tall(X0)) [input p13]
24. old(mary) [input hypothesis]
28. ! [X0] : ((kind(X0) & ~tall(X... | 0 |
Everyone who is wise is either strong or not rich.
Everyone who is not curious or curious is not brave or not humble and vice versa.
If john is both not old and not kind then someone is old or not tall and vice versa.
Everyone who is either quiet or funny is either not brave or old and vice versa.
Everyone who is not r... | Alice is not tall. | entailment | (![X]:(wise(X)=>(strong(X)<~>~rich(X))))&
(![X]:((~curious(X)|curious(X))<=>(~brave(X)|~humble(X))))&
(((~old(john)&~kind(john)))<=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((quiet(X)<~>funny(X))<=>(~brave(X)<~>old(X))))&
(![X]:(~rich(X)=>(strong(X)&~creative(X))))&
((quiet(mary))<=>((happy(fred)|~brave(fred))))&
((?[X]:((ta... | ~tall(alice) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1916729307037210505105441
% SZS output start Proof for 1916729307037210505105441
8. ? [X0] : (tall(X0) | ~quiet(X0)) <=> (tall(john) | ~creative(john)) [input p7]
22. creative(john) & ~tall(john) [input p21]
23. tall(alice) [input hypothesis]
41. (? [X0] : (tall(X0) | ~quiet(X0)) | (~tall... | 0 |
Everyone who is curious is both not curious and not calm.
If someone is both kind and curious then someone is patient and vice versa.
Everyone who is strong is either generous or not happy and vice versa.
Everyone who is creative is both not curious and not quiet and vice versa.
If paul is both rich and humble then som... | Paul is not funny. | contradiction | (![X]:(curious(X)=>(~curious(X)&~calm(X))))&
((?[X]:((kind(X)&curious(X))))<=>(?[X]:(patient(X))))&
(![X]:(strong(X)<=>(generous(X)<~>~happy(X))))&
(![X]:(creative(X)<=>(~curious(X)&~quiet(X))))&
(((rich(paul)&humble(paul)))<=>(?[X]:((kind(X)|~kind(X)))))&
(![X]:(brave(X)=>(brave(X)&calm(X))))&
(![X]:(~generous(X)<=>fu... | ~funny(paul) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6767527637627614941999237
% SZS output start Proof for 6767527637627614941999237
5. (humble(paul) & rich(paul)) <=> ? [X0] : (~kind(X0) | kind(X0)) [input p4]
10. ! [X0] : ((tall(X0) | rich(X0)) <=> (~rich(X0) | funny(X0))) [input p9]
21. ~funny(paul) [input hypothesis]
37. ((humble(paul)... | 0 |
If paul is wise then someone is either not kind or not funny and vice versa.
Everyone who is either not calm or funny is not creative or not curious and vice versa.
Everyone who is not curious or patient is either not creative or not funny.
If someone is both generous and funny then lucy is not calm.
If alice is both p... | Lucy is tall. | entailment | ((wise(paul))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~calm(X)<~>funny(X))<=>(~creative(X)|~curious(X))))&
(![X]:((~curious(X)|patient(X))=>(~creative(X)<~>~funny(X))))&
((?[X]:((generous(X)&funny(X))))=>(~calm(lucy)))&
(((patient(alice)&curious(alice)))=>((happy(mary)|strong(mary))))&
(![X]:(rich(X)<=>(patient(X)<... | tall(lucy) | [
"p1",
"p2",
"p6",
"p7",
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9112001948093925162893689
% SZS output start Proof for 9112001948093925162893689
2. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~curious(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((patient(X0) | ~curious(X0)) => (~creative(X0) <~> ~funny(X0))) [input p2]
7. ! [X0] : ((wise(X0) <~> creativ... | 0 |
If someone is not rich then someone is either not patient or wise.
Everyone who is not curious is not wise or happy and vice versa.
Everyone who is not wise is not quiet or not happy and vice versa.
Everyone who is patient or not patient is both generous and funny.
Everyone who is both patient and not strong is not cre... | Alice is quiet. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:(~curious(X)<=>(~wise(X)|happy(X))))&
(![X]:(~wise(X)<=>(~quiet(X)|~happy(X))))&
(![X]:((patient(X)|~patient(X))=>(generous(X)&funny(X))))&
(![X]:((patient(X)&~strong(X))<=>(~creative(X)|~kind(X))))&
(((~kind(lucy)&~generous(lucy)))<=>(?[X]:((~patient(X)|crea... | quiet(alice) | [
"p3",
"p5",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4400347155084256725210430
% SZS output start Proof for 4400347155084256725210430
4. ! [X0] : ((~patient(X0) | patient(X0)) => (funny(X0) & generous(X0))) [input p3]
6. (~generous(lucy) & ~kind(lucy)) <=> ? [X0] : (creative(X0) | ~patient(X0)) [input p5]
9. ! [X0] : ((~brave(X0) <~> kind(X... | 0 |
If someone is not calm or not quiet then someone is either not calm or happy. If someone is both not old and quiet then mary is both not calm and generous. Everyone who is both humble and not brave is either happy or not generous and vice versa. If john is both not generous and generous then fred is both not creative a... | Paul is not generous. | contradiction | ((?[X]:((~calm(X)|~quiet(X))))=>(?[X]:((~calm(X)<~>happy(X)))))&
((?[X]:((~old(X)&quiet(X))))=>((~calm(mary)&generous(mary))))&
(![X]:((humble(X)&~brave(X))<=>(happy(X)<~>~generous(X))))&
(((~generous(john)&generous(john)))<=>((~creative(fred)&~tall(fred))))&
(![X]:(strong(X)=>(~brave(X)<~>~quiet(X))))&
(((calm(alice)<... | ~generous(paul) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3590860349491783509813247
% SZS output start Proof for 3590860349491783509813247
14. ! [X0] : ((~creative(X0) & generous(X0)) <=> (~funny(X0) | strong(X0))) [input p13]
16. ! [X0] : ((calm(X0) & ~strong(X0)) <=> ~calm(X0)) [input p15]
23. ~generous(paul) [input hypothesis]
70. ! [X0] : ((... | 0 |
If someone is rich or not happy then someone is either rich or not quiet.
If lucy is either strong or not wise then someone is not creative.
Everyone who is both not strong and not happy is either not funny or not creative and vice versa.
Everyone who is either kind or funny is both not kind and kind and vice versa.
If... | Mary is tall. | neutral | ((?[X]:((rich(X)|~happy(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
(((strong(lucy)<~>~wise(lucy)))=>(?[X]:(~creative(X))))&
(![X]:((~strong(X)&~happy(X))<=>(~funny(X)<~>~creative(X))))&
(![X]:((kind(X)<~>funny(X))<=>(~kind(X)&kind(X))))&
(((curious(alice)<~>strong(alice)))=>(humble(fred)))&
(![X]:((tall(X)<~>brave(X))<=>(... | tall(mary) | [] | null | 0 |
Everyone who is creative is both not humble and not kind. If someone is not patient or not rich then lucy is either happy or patient and vice versa. Everyone who is either not kind or not strong is both calm and not calm. Everyone who is not curious is tall. Everyone who is either not kind or not rich is either kind or... | Fred is funny. | neutral | (![X]:(creative(X)=>(~humble(X)&~kind(X))))&
((?[X]:((~patient(X)|~rich(X))))<=>((happy(lucy)<~>patient(lucy))))&
(![X]:((~kind(X)<~>~strong(X))=>(calm(X)&~calm(X))))&
(![X]:(~curious(X)=>tall(X)))&
(![X]:((~kind(X)<~>~rich(X))<=>(kind(X)<~>~old(X))))&
(![X]:(funny(X)<=>(~rich(X)<~>~calm(X))))&
(![X]:((~wise(X)|patient... | funny(fred) | [] | null | 0 |
If lucy is rich or not tall then someone is not tall or not humble. Everyone who is either not curious or old is brave or rich and vice versa. If someone is both not humble and quiet then alice is brave or patient. Everyone who is strong or patient is old or not old and vice versa. Everyone who is humble or generous is... | Susan is not curious. | neutral | (((rich(lucy)|~tall(lucy)))=>(?[X]:((~tall(X)|~humble(X)))))&
(![X]:((~curious(X)<~>old(X))<=>(brave(X)|rich(X))))&
((?[X]:((~humble(X)&quiet(X))))=>((brave(alice)|patient(alice))))&
(![X]:((strong(X)|patient(X))<=>(old(X)|~old(X))))&
(![X]:((humble(X)|generous(X))<=>(~old(X)&generous(X))))&
((?[X]:(kind(X)))=>((happy(... | ~curious(susan) | [] | null | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | Paul is not funny. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | ~funny(paul) | [
"p2",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8610136604852759331957651
% SZS output start Proof for 8610136604852759331957651
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
10. ? [X0] : ~funny(X0) => ? [X0] : (quiet(... | 0 |
Everyone who is either not brave or not rich is either creative or humble and vice versa. If someone is either not quiet or humble then paul is tall or funny. If someone is either quiet or tall then someone is both wise and not kind and vice versa. Everyone who is not generous or not patient is quiet and vice versa. Ev... | Fred is tall. | contradiction | (![X]:((~brave(X)<~>~rich(X))<=>(creative(X)<~>humble(X))))&
((?[X]:((~quiet(X)<~>humble(X))))=>((tall(paul)|funny(paul))))&
((?[X]:((quiet(X)<~>tall(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((~generous(X)|~patient(X))<=>quiet(X)))&
(![X]:((~wise(X)|funny(X))<=>(kind(X)|strong(X))))&
(((quiet(mary)<~>creative(mary))... | tall(fred) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3648559656055027696766607
% SZS output start Proof for 3648559656055027696766607
9. ! [X0] : (strong(X0) <=> tall(X0)) [input p8]
19. happy(fred) & ~strong(fred) [input p18]
25. tall(fred) [input hypothesis]
56. ! [X0] : ((strong(X0) | ~tall(X0)) & (tall(X0) | ~strong(X0))) [nnf transform... | 0 |
Everyone who is either patient or humble is not patient or curious and vice versa.
If fred is both not creative and old then someone is both creative and not happy.
Everyone who is both not calm and not quiet is not quiet and vice versa.
If someone is either curious or funny then someone is not creative or rich.
If pau... | Lucy is not curious. | entailment | (![X]:((patient(X)<~>humble(X))<=>(~patient(X)|curious(X))))&
(((~creative(fred)&old(fred)))=>(?[X]:((creative(X)&~happy(X)))))&
(![X]:((~calm(X)&~quiet(X))<=>~quiet(X)))&
((?[X]:((curious(X)<~>funny(X))))=>(?[X]:((~creative(X)|rich(X)))))&
((old(paul))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(~calm(X)<=>patient(X)))&... | ~curious(lucy) | [
"p0",
"p5",
"p7",
"p13",
"p14",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4930315757110043752812559
% SZS output start Proof for 4930315757110043752812559
1. ! [X0] : ((patient(X0) <~> humble(X0)) <=> (curious(X0) | ~patient(X0))) [input p0]
6. ! [X0] : (~calm(X0) <=> patient(X0)) [input p5]
8. ? [X0] : (calm(X0) & happy(X0)) <=> ? [X0] : (tall(X0) & ~tall(X0))... | 0 |
If someone is not humble or not funny then susan is both not generous and not funny and vice versa.
Everyone who is humble is either wise or humble and vice versa.
If someone is wise or not calm then fred is either not tall or not brave.
Everyone who is not curious or funny is not tall or not quiet.
Everyone who is eit... | Alice is quiet. | neutral | ((?[X]:((~humble(X)|~funny(X))))<=>((~generous(susan)&~funny(susan))))&
(![X]:(humble(X)<=>(wise(X)<~>humble(X))))&
((?[X]:((wise(X)|~calm(X))))=>((~tall(fred)<~>~brave(fred))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)|~quiet(X))))&
(![X]:((kind(X)<~>patient(X))<=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>... | quiet(alice) | [] | null | 0 |
Everyone who is not rich is either not curious or kind and vice versa.
If someone is either not tall or not patient then someone is not kind or humble and vice versa.
If lucy is both not quiet and old then someone is either brave or creative.
Everyone who is patient or not tall is either tall or not creative and vice v... | Mary is creative. | contradiction | (![X]:(~rich(X)<=>(~curious(X)<~>kind(X))))&
((?[X]:((~tall(X)<~>~patient(X))))<=>(?[X]:((~kind(X)|humble(X)))))&
(((~quiet(lucy)&old(lucy)))=>(?[X]:((brave(X)<~>creative(X)))))&
(![X]:((patient(X)|~tall(X))<=>(tall(X)<~>~creative(X))))&
((?[X]:((generous(X)|~old(X))))=>(wise(lucy)))&
((?[X]:((humble(X)&~calm(X))))=>(?... | creative(mary) | [
"p0",
"p3",
"p6",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 839984664100498015542084
% SZS output start Proof for 839984664100498015542084
1. ! [X0] : (~rich(X0) <=> (~curious(X0) <~> kind(X0))) [input p0]
4. ! [X0] : ((~tall(X0) | patient(X0)) <=> (tall(X0) <~> ~creative(X0))) [input p3]
7. ! [X0] : ((~creative(X0) | rich(X0)) => (wise(X0) & ~tal... | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | John is curious. | entailment | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | curious(john) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 653447449392243068381559
% SZS output start Proof for 653447449392243068381559
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [input p5]
15. ! [X0] : ((quiet(X0) | ~curious(X0)) => (~old(X0) & ~creative(X0))) [input p14]
23. ~curious(john) [input hypothesis]
26. ! [X... | 0 |
Everyone who is not wise or not happy is either wise or rich. Everyone who is either not creative or not rich is not humble and vice versa. If someone is not patient then susan is not patient. If fred is both generous and not strong then someone is not rich or not patient. If someone is not old then lucy is not rich an... | Susan is not old. | contradiction | (![X]:((~wise(X)|~happy(X))=>(wise(X)<~>rich(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>~humble(X)))&
((?[X]:(~patient(X)))=>(~patient(susan)))&
(((generous(fred)&~strong(fred)))=>(?[X]:((~rich(X)|~patient(X)))))&
((?[X]:(~old(X)))<=>(~rich(lucy)))&
(![X]:(~tall(X)=>(curious(X)|~generous(X))))&
((?[X]:((patient(X)<~>~ri... | ~old(susan) | [
"p0",
"p2",
"p4",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 750401124724547430559051
% SZS output start Proof for 750401124724547430559051
1. ! [X0] : ((~happy(X0) | ~wise(X0)) => (wise(X0) <~> rich(X0))) [input p0]
3. ? [X0] : ~patient(X0) => ~patient(susan) [input p2]
5. ? [X0] : ~old(X0) <=> ~rich(lucy) [input p4]
9. (patient(lucy) & tall(lucy)... | 0 |
If someone is both generous and not creative then mary is both happy and creative.
If paul is either not tall or not old then someone is quiet or calm and vice versa.
If lucy is happy or tall then john is both not wise and not humble.
Everyone who is not happy or quiet is not patient and vice versa.
Everyone who is bot... | Fred is not old. | neutral | ((?[X]:((generous(X)&~creative(X))))=>((happy(mary)&creative(mary))))&
(((~tall(paul)<~>~old(paul)))<=>(?[X]:((quiet(X)|calm(X)))))&
(((happy(lucy)|tall(lucy)))=>((~wise(john)&~humble(john))))&
(![X]:((~happy(X)|quiet(X))<=>~patient(X)))&
(![X]:((happy(X)&quiet(X))<=>(~humble(X)|~happy(X))))&
(((~kind(mary)|patient(mar... | ~old(fred) | [] | null | 0 |
If fred is both creative and not old then someone is not happy and vice versa. Everyone who is either rich or not calm is both happy and not old. Everyone who is both happy and not generous is either not old or patient. Everyone who is tall or brave is either happy or strong and vice versa. If someone is kind or calm t... | Alice is brave. | entailment | (((creative(fred)&~old(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((rich(X)<~>~calm(X))=>(happy(X)&~old(X))))&
(![X]:((happy(X)&~generous(X))=>(~old(X)<~>patient(X))))&
(![X]:((tall(X)|brave(X))<=>(happy(X)<~>strong(X))))&
((?[X]:((kind(X)|calm(X))))=>((rich(john)<~>curious(john))))&
((?[X]:((tall(X)|kind(X))))=>(~creative(a... | brave(alice) | [
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 12873348028972344204288
% SZS output start Proof for 12873348028972344204288
4. ! [X0] : ((brave(X0) | tall(X0)) <=> (happy(X0) <~> strong(X0))) [input p3]
6. ? [X0] : (kind(X0) | tall(X0)) => ~creative(alice) [input p5]
9. ! [X0] : (~strong(X0) <=> (strong(X0) | creative(X0))) [input p8]... | 0 |
Everyone who is both strong and wise is quiet or kind.
Everyone who is both not creative and not quiet is not strong or not humble and vice versa.
If paul is both strong and kind then someone is either funny or rich.
If someone is either not brave or not old then someone is both not brave and not generous.
Everyone who... | John is generous. | contradiction | (![X]:((strong(X)&wise(X))=>(quiet(X)|kind(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(~strong(X)|~humble(X))))&
(((strong(paul)&kind(paul)))=>(?[X]:((funny(X)<~>rich(X)))))&
((?[X]:((~brave(X)<~>~old(X))))=>(?[X]:((~brave(X)&~generous(X)))))&
(![X]:((quiet(X)<~>tall(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((generous(X... | generous(john) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3375919308265924486989775
% SZS output start Proof for 3375919308265924486989775
6. ? [X0] : (~funny(X0) | generous(X0)) => ? [X0] : (~funny(X0) & ~tall(X0)) [input p5]
14. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> ~curious(X0)) [input p13]
24. generous(john) [input hypothesis]
26. ? [X0... | 0 |
Everyone who is either old or curious is calm or creative.
Everyone who is both not tall and old is either funny or not calm and vice versa.
Everyone who is either not quiet or not calm is patient and vice versa.
Everyone who is both generous and not curious is not curious or patient and vice versa.
Everyone who is not... | Mary is patient. | contradiction | (![X]:((old(X)<~>curious(X))=>(calm(X)|creative(X))))&
(![X]:((~tall(X)&old(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>~calm(X))<=>patient(X)))&
(![X]:((generous(X)&~curious(X))<=>(~curious(X)|patient(X))))&
(![X]:((~tall(X)|creative(X))<=>(~funny(X)<~>kind(X))))&
((?[X]:(~rich(X)))<=>((creative(paul)&quiet(pau... | patient(mary) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4000180374993527412951024
% SZS output start Proof for 4000180374993527412951024
1. ! [X0] : ((old(X0) <~> curious(X0)) => (creative(X0) | calm(X0))) [input p0]
2. ! [X0] : ((old(X0) & ~tall(X0)) <=> (funny(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> patient... | 0 |
Everyone who is not humble or brave is either not humble or kind.
Everyone who is either funny or not happy is either not curious or not creative and vice versa.
Everyone who is both not happy and not generous is curious and vice versa.
Everyone who is not quiet or not creative is not tall and vice versa.
If susan is e... | Alice is tall. | contradiction | (![X]:((~humble(X)|brave(X))=>(~humble(X)<~>kind(X))))&
(![X]:((funny(X)<~>~happy(X))<=>(~curious(X)<~>~creative(X))))&
(![X]:((~happy(X)&~generous(X))<=>curious(X)))&
(![X]:((~quiet(X)|~creative(X))<=>~tall(X)))&
(((old(susan)<~>~calm(susan)))=>((~strong(fred)<~>~tall(fred))))&
(((~happy(mary)<~>~strong(mary)))<=>(?[X... | tall(alice) | [
"p1",
"p2",
"p3",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6898457909714216345859417
% SZS output start Proof for 6898457909714216345859417
2. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~curious(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~generous(X0) & ~happy(X0)) <=> curious(X0)) [input p2]
4. ! [X0] : ((~creative(X0) | ~quiet(X0)) <=> ~ta... | 0 |
Everyone who is both not creative and humble is both quiet and not curious and vice versa. If someone is not creative or old then someone is either not patient or wise. Everyone who is both not generous and not old is either quiet or humble. If fred is tall or patient then someone is both not strong and not wise. Every... | Mary is not kind. | contradiction | (![X]:((~creative(X)&humble(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((~creative(X)|old(X))))=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:((~generous(X)&~old(X))=>(quiet(X)<~>humble(X))))&
(((tall(fred)|patient(fred)))=>(?[X]:((~strong(X)&~wise(X)))))&
(![X]:((patient(X)&~kind(X))=>creative(X)))&
(![X]:((creative(X)|~patie... | ~kind(mary) | [
"p0",
"p6",
"p9",
"p11",
"p12",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3233523049529655290853690
% SZS output start Proof for 3233523049529655290853690
1. ! [X0] : ((humble(X0) & ~creative(X0)) <=> (~curious(X0) & quiet(X0))) [input p0]
7. ! [X0] : ((~creative(X0) & calm(X0)) <=> (strong(X0) & ~humble(X0))) [input p6]
10. ! [X0] : (tall(X0) => (~tall(X0) | ~... | 0 |
Everyone who is not patient is either tall or happy.
Everyone who is both patient and not curious is either old or patient and vice versa.
Everyone who is not funny or funny is not humble.
Everyone who is either not calm or strong is tall or not creative.
If lucy is brave or not quiet then fred is not humble and vice v... | Susan is not calm. | entailment | (![X]:(~patient(X)=>(tall(X)<~>happy(X))))&
(![X]:((patient(X)&~curious(X))<=>(old(X)<~>patient(X))))&
(![X]:((~funny(X)|funny(X))=>~humble(X)))&
(![X]:((~calm(X)<~>strong(X))=>(tall(X)|~creative(X))))&
(((brave(lucy)|~quiet(lucy)))<=>(~humble(fred)))&
((~quiet(lucy))<=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:((~calm(X)<... | ~calm(susan) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7541472531662152215595415
% SZS output start Proof for 7541472531662152215595415
3. ! [X0] : ((funny(X0) | ~funny(X0)) => ~humble(X0)) [input p2]
16. ? [X0] : calm(X0) => ? [X0] : humble(X0) [input p15]
24. calm(susan) [input hypothesis]
27. ? [X0] : calm(X0) => ? [X1] : humble(X1) [recti... | 0 |
Everyone who is quiet or not wise is strong.
Everyone who is not generous or not strong is both happy and wise and vice versa.
Everyone who is not happy is either not curious or not old.
Everyone who is both patient and not humble is either curious or not tall and vice versa.
Everyone who is old is both not strong and ... | Mary is not rich. | contradiction | (![X]:((quiet(X)|~wise(X))=>strong(X)))&
(![X]:((~generous(X)|~strong(X))<=>(happy(X)&wise(X))))&
(![X]:(~happy(X)=>(~curious(X)<~>~old(X))))&
(![X]:((patient(X)&~humble(X))<=>(curious(X)<~>~tall(X))))&
(![X]:(old(X)=>(~strong(X)&~rich(X))))&
((?[X]:((wise(X)|~humble(X))))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:((... | ~rich(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p7",
"p8",
"p10",
"p11",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2859748467718433206661302
% SZS output start Proof for 2859748467718433206661302
1. ! [X0] : ((~wise(X0) | quiet(X0)) => strong(X0)) [input p0]
2. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> (wise(X0) & happy(X0))) [input p1]
3. ! [X0] : (~happy(X0) => (~curious(X0) <~> ~old(X0))) [input ... | 0 |
Everyone who is funny or kind is both not strong and not old and vice versa. If someone is either not generous or not humble then paul is both creative and not generous. Everyone who is both kind and rich is either patient or not humble and vice versa. If someone is not generous then someone is not strong and vice vers... | John is not tall. | neutral | (![X]:((funny(X)|kind(X))<=>(~strong(X)&~old(X))))&
((?[X]:((~generous(X)<~>~humble(X))))=>((creative(paul)&~generous(paul))))&
(![X]:((kind(X)&rich(X))<=>(patient(X)<~>~humble(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~strong(X))))&
(![X]:(generous(X)<=>(~happy(X)|strong(X))))&
(![X]:((~calm(X)|~tall(X))=>(~calm(X)|~quie... | ~tall(john) | [] | null | 0 |
Everyone who is both not brave and not quiet is not generous and vice versa.
If fred is either funny or not kind then someone is both wise and not kind and vice versa.
Everyone who is either creative or tall is brave and vice versa.
Everyone who is strong is not humble or old.
Everyone who is either not humble or kind ... | Fred is not quiet. | entailment | (![X]:((~brave(X)&~quiet(X))<=>~generous(X)))&
(((funny(fred)<~>~kind(fred)))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((creative(X)<~>tall(X))<=>brave(X)))&
(![X]:(strong(X)=>(~humble(X)|old(X))))&
(![X]:((~humble(X)<~>kind(X))<=>curious(X)))&
(![X]:((~happy(X)&funny(X))<=>(~brave(X)&~humble(X))))&
((?[X]:((~rich(X)&~gen... | ~quiet(fred) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5094120932037352691360942
% SZS output start Proof for 5094120932037352691360942
1. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((creative(X0) <~> tall(X0)) <=> brave(X0)) [input p2]
6. ! [X0] : ((funny(X0) & ~happy(X0)) <=> (~humble(X0) & ~brave(X0))) [i... | 0 |
Everyone who is brave or humble is calm or kind.
If someone is both not creative and not calm then someone is generous.
Everyone who is either not strong or funny is not creative or humble and vice versa.
Everyone who is both not strong and funny is either not strong or not patient.
Everyone who is either not rich or n... | John is not funny. | entailment | (![X]:((brave(X)|humble(X))=>(calm(X)|kind(X))))&
((?[X]:((~creative(X)&~calm(X))))=>(?[X]:(generous(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(~creative(X)|humble(X))))&
(![X]:((~strong(X)&funny(X))=>(~strong(X)<~>~patient(X))))&
(![X]:((~rich(X)<~>~wise(X))<=>(calm(X)<~>~curious(X))))&
((?[X]:((~calm(X)|~strong(X))))<=... | ~funny(john) | [
"p2",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8567849846591594514830409
% SZS output start Proof for 8567849846591594514830409
3. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (humble(X0) | ~creative(X0))) [input p2]
8. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (humble(X0) & ~quiet(X0))) [input p7]
9. ! [X0] : ((~humble(X0) | tall(X0)) <=>... | 0 |
Everyone who is either not calm or creative is either wise or not patient and vice versa.
Everyone who is both curious and happy is both not funny and not quiet and vice versa.
If paul is both not happy and not quiet then john is both not humble and not kind.
Everyone who is not creative or not tall is funny.
Everyone ... | John is not funny. | neutral | (![X]:((~calm(X)<~>creative(X))<=>(wise(X)<~>~patient(X))))&
(![X]:((curious(X)&happy(X))<=>(~funny(X)&~quiet(X))))&
(((~happy(paul)&~quiet(paul)))=>((~humble(john)&~kind(john))))&
(![X]:((~creative(X)|~tall(X))=>funny(X)))&
(![X]:(~calm(X)<=>(old(X)|happy(X))))&
((?[X]:((~curious(X)<~>~patient(X))))=>(~old(paul)))&
(!... | ~funny(john) | [] | null | 0 |
Everyone who is both old and not old is both not quiet and rich and vice versa. Everyone who is not humble or not happy is strong or funny. Everyone who is both calm and funny is happy or strong and vice versa. Everyone who is both not tall and not wise is not old or funny and vice versa. If paul is both not kind and n... | Fred is curious. | neutral | (![X]:((old(X)&~old(X))<=>(~quiet(X)&rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(strong(X)|funny(X))))&
(![X]:((calm(X)&funny(X))<=>(happy(X)|strong(X))))&
(![X]:((~tall(X)&~wise(X))<=>(~old(X)|funny(X))))&
(((~kind(paul)&~humble(paul)))=>(?[X]:(~calm(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:(h... | curious(fred) | [] | null | 0 |
Everyone who is both strong and not creative is both patient and not quiet and vice versa.
If someone is either not tall or happy then paul is not curious or not wise.
If someone is patient then lucy is either not humble or wise.
Everyone who is both patient and not tall is either patient or not generous and vice versa... | Lucy is not curious. | entailment | (![X]:((strong(X)&~creative(X))<=>(patient(X)&~quiet(X))))&
((?[X]:((~tall(X)<~>happy(X))))=>((~curious(paul)|~wise(paul))))&
((?[X]:(patient(X)))=>((~humble(lucy)<~>wise(lucy))))&
(![X]:((patient(X)&~tall(X))<=>(patient(X)<~>~generous(X))))&
((?[X]:(old(X)))<=>((curious(john)|calm(john))))&
(![X]:((curious(X)|~kind(X)... | ~curious(lucy) | [
"p0",
"p3",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5581574482863957231290889
% SZS output start Proof for 5581574482863957231290889
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~quiet(X0) & patient(X0))) [input p0]
4. ! [X0] : ((~tall(X0) & patient(X0)) <=> (patient(X0) <~> ~generous(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | curious(X0... | 0 |
If susan is not patient then alice is both not calm and tall. Everyone who is both not brave and humble is not wise and vice versa. Everyone who is either patient or not funny is either curious or quiet and vice versa. Everyone who is not humble is both happy and not funny and vice versa. Everyone who is both tall and ... | John is not happy. | entailment | ((~patient(susan))=>((~calm(alice)&tall(alice))))&
(![X]:((~brave(X)&humble(X))<=>~wise(X)))&
(![X]:((patient(X)<~>~funny(X))<=>(curious(X)<~>quiet(X))))&
(![X]:(~humble(X)<=>(happy(X)&~funny(X))))&
(![X]:((tall(X)&strong(X))=>(~tall(X)<~>~curious(X))))&
(![X]:((calm(X)&old(X))<=>~wise(X)))&
((?[X]:((strong(X)&~humble(... | ~happy(john) | [
"p1",
"p3",
"p5",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7354115821816680164421658
% SZS output start Proof for 7354115821816680164421658
2. ! [X0] : ((humble(X0) & ~brave(X0)) <=> ~wise(X0)) [input p1]
4. ! [X0] : (~humble(X0) <=> (~funny(X0) & happy(X0))) [input p3]
6. ! [X0] : ((old(X0) & calm(X0)) <=> ~wise(X0)) [input p5]
16. ! [X0] : ((~c... | 0 |
Everyone who is not old is both not calm and calm.
If someone is either not wise or not humble then someone is either not old or strong.
If someone is not tall then mary is not rich and vice versa.
Everyone who is tall is both calm and not brave.
If someone is wise then john is not funny and vice versa.
If someone is n... | Mary is not curious. | contradiction | (![X]:(~old(X)=>(~calm(X)&calm(X))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:((~old(X)<~>strong(X)))))&
((?[X]:(~tall(X)))<=>(~rich(mary)))&
(![X]:(tall(X)=>(calm(X)&~brave(X))))&
((?[X]:(wise(X)))<=>(~funny(john)))&
((?[X]:((~curious(X)|brave(X))))<=>((~old(lucy)&curious(lucy))))&
(![X]:((wise(X)<~>brave(X))=>(~gene... | ~curious(mary) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4798495661613270880159023
% SZS output start Proof for 4798495661613270880159023
1. ! [X0] : (~old(X0) => (calm(X0) & ~calm(X0))) [input p0]
6. ? [X0] : (brave(X0) | ~curious(X0)) <=> (curious(lucy) & ~old(lucy)) [input p5]
25. ~curious(mary) [input hypothesis]
27. ! [X0] : ((calm(X0) & ~... | 0 |
If paul is either patient or humble then alice is both kind and not brave.
If someone is not funny or generous then alice is both not old and quiet.
If someone is not humble or not brave then mary is curious or tall.
Everyone who is not wise is not rich and vice versa.
Everyone who is either not creative or brave is qu... | Susan is not funny. | neutral | (((patient(paul)<~>humble(paul)))=>((kind(alice)&~brave(alice))))&
((?[X]:((~funny(X)|generous(X))))=>((~old(alice)&quiet(alice))))&
((?[X]:((~humble(X)|~brave(X))))=>((curious(mary)|tall(mary))))&
(![X]:(~wise(X)<=>~rich(X)))&
(![X]:((~creative(X)<~>brave(X))<=>quiet(X)))&
((?[X]:((~creative(X)&~kind(X))))<=>(happy(su... | ~funny(susan) | [] | null | 0 |
If someone is kind then susan is both strong and humble and vice versa.
Everyone who is both not brave and funny is not wise or wise and vice versa.
Everyone who is either rich or not patient is either not brave or not kind and vice versa.
If someone is both kind and funny then mary is both generous and not kind and vi... | Susan is calm. | contradiction | ((?[X]:(kind(X)))<=>((strong(susan)&humble(susan))))&
(![X]:((~brave(X)&funny(X))<=>(~wise(X)|wise(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~brave(X)<~>~kind(X))))&
((?[X]:((kind(X)&funny(X))))<=>((generous(mary)&~kind(mary))))&
(((tall(fred)&strong(fred)))<=>(?[X]:((curious(X)|~generous(X)))))&
((?[X]:((~humble(X)|~ge... | calm(susan) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6119598951661201286306031
% SZS output start Proof for 6119598951661201286306031
1. ? [X0] : kind(X0) <=> (humble(susan) & strong(susan)) [input p0]
2. ! [X0] : ((funny(X0) & ~brave(X0)) <=> (wise(X0) | ~wise(X0))) [input p1]
3. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> (~brave(X0) <~> ~k... | 0 |
If someone is both not wise and not old then fred is either creative or wise and vice versa. Everyone who is either funny or not quiet is curious. Everyone who is both not strong and strong is both humble and patient. Everyone who is both curious and not happy is not humble. Everyone who is not patient is both humble a... | Fred is strong. | entailment | ((?[X]:((~wise(X)&~old(X))))<=>((creative(fred)<~>wise(fred))))&
(![X]:((funny(X)<~>~quiet(X))=>curious(X)))&
(![X]:((~strong(X)&strong(X))=>(humble(X)&patient(X))))&
(![X]:((curious(X)&~happy(X))=>~humble(X)))&
(![X]:(~patient(X)<=>(humble(X)&~happy(X))))&
(((~quiet(john)<~>~rich(john)))<=>(?[X]:((~tall(X)<~>~wise(X))... | strong(fred) | [
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4470032210937465589957150
% SZS output start Proof for 4470032210937465589957150
7. ! [X0] : (brave(X0) <=> (happy(X0) | wise(X0))) [input p6]
9. ! [X0] : ((rich(X0) | wise(X0)) <=> (kind(X0) & strong(X0))) [input p8]
11. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p10]
16. ! ... | 0 |
If someone is both strong and quiet then fred is either generous or not happy.
Everyone who is not tall is both not happy and generous and vice versa.
If someone is happy or brave then someone is both not tall and old.
If john is either not kind or creative then someone is either not old or tall and vice versa.
If mary... | Fred is happy. | contradiction | ((?[X]:((strong(X)&quiet(X))))=>((generous(fred)<~>~happy(fred))))&
(![X]:(~tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:((happy(X)|brave(X))))=>(?[X]:((~tall(X)&old(X)))))&
(((~kind(john)<~>creative(john)))<=>(?[X]:((~old(X)<~>tall(X)))))&
((~funny(mary))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~rich(X)<~>~tal... | happy(fred) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 740901317310377753943277
% SZS output start Proof for 740901317310377753943277
9. ! [X0] : ((calm(X0) | happy(X0)) => ~quiet(X0)) [input p8]
10. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> quiet(X0)) [input p9]
23. happy(fred) [input hypothesis]
31. ! [X0] : (~quiet(X0) | (~calm(X0) & ~happy(X... | 0 |
If someone is either not old or not quiet then someone is both not wise and patient.
Everyone who is kind is not rich or not wise.
If someone is not happy or not quiet then paul is both quiet and rich.
Everyone who is not wise or brave is both not funny and tall.
If someone is both wise and not humble then someone is c... | Lucy is not tall. | contradiction | ((?[X]:((~old(X)<~>~quiet(X))))=>(?[X]:((~wise(X)&patient(X)))))&
(![X]:(kind(X)=>(~rich(X)|~wise(X))))&
((?[X]:((~happy(X)|~quiet(X))))=>((quiet(paul)&rich(paul))))&
(![X]:((~wise(X)|brave(X))=>(~funny(X)&tall(X))))&
((?[X]:((wise(X)&~humble(X))))<=>(?[X]:((curious(X)|~calm(X)))))&
((~kind(lucy))=>((~creative(john)&~r... | ~tall(lucy) | [
"p3",
"p9",
"p10",
"p11",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2900206660126756783899740
% SZS output start Proof for 2900206660126756783899740
4. ! [X0] : ((brave(X0) | ~wise(X0)) => (tall(X0) & ~funny(X0))) [input p3]
10. ! [X0] : ((~strong(X0) | humble(X0)) => (~happy(X0) | ~curious(X0))) [input p9]
11. ! [X0] : ((quiet(X0) <~> ~humble(X0)) => (br... | 0 |
If alice is not kind then susan is either not generous or not strong and vice versa.
Everyone who is either not kind or kind is humble and vice versa.
Everyone who is not rich or humble is not tall or not generous and vice versa.
Everyone who is funny is either not patient or not calm.
Everyone who is either happy or p... | Fred is patient. | neutral | ((~kind(alice))<=>((~generous(susan)<~>~strong(susan))))&
(![X]:((~kind(X)<~>kind(X))<=>humble(X)))&
(![X]:((~rich(X)|humble(X))<=>(~tall(X)|~generous(X))))&
(![X]:(funny(X)=>(~patient(X)<~>~calm(X))))&
(![X]:((happy(X)<~>patient(X))=>(~calm(X)&~creative(X))))&
(![X]:((rich(X)|curious(X))=>(~creative(X)&patient(X))))&
... | patient(fred) | [] | null | 0 |
If someone is either funny or not calm then someone is both not rich and not funny. Everyone who is both kind and not patient is curious or not creative. Everyone who is tall is either tall or funny and vice versa. If someone is either not tall or not calm then john is not old or not generous. Everyone who is both crea... | Alice is not happy. | contradiction | ((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((kind(X)&~patient(X))=>(curious(X)|~creative(X))))&
(![X]:(tall(X)<=>(tall(X)<~>funny(X))))&
((?[X]:((~tall(X)<~>~calm(X))))=>((~old(john)|~generous(john))))&
(![X]:((creative(X)&~generous(X))=>(strong(X)|kind(X))))&
((calm(fred))=>((~generous(alic... | ~happy(alice) | [
"p2",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7210192873072106602202077
% SZS output start Proof for 7210192873072106602202077
3. ! [X0] : (tall(X0) <=> (tall(X0) <~> funny(X0))) [input p2]
7. ! [X0] : (calm(X0) <=> (quiet(X0) & ~old(X0))) [input p6]
10. ! [X0] : ((~quiet(X0) & ~patient(X0)) => (~funny(X0) <~> ~patient(X0))) [input p... | 0 |
If mary is either patient or generous then someone is not calm or not rich.
If someone is old or strong then lucy is both rich and calm and vice versa.
Everyone who is not tall or rich is either not quiet or not kind and vice versa.
Everyone who is not wise or not quiet is both kind and rich.
If alice is not creative o... | Susan is creative. | entailment | (((patient(mary)<~>generous(mary)))=>(?[X]:((~calm(X)|~rich(X)))))&
((?[X]:((old(X)|strong(X))))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~tall(X)|rich(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~wise(X)|~quiet(X))=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generou... | creative(susan) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4416802406632323840350789
% SZS output start Proof for 4416802406632323840350789
2. ? [X0] : (strong(X0) | old(X0)) <=> (calm(lucy) & rich(lucy)) [input p1]
3. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~quiet(X0) <~> ~kind(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (rich(X0) & ... | 0 |
Everyone who is not brave is not quiet.
If someone is either not tall or brave then paul is creative or humble.
If someone is not wise then alice is both not rich and not curious.
Everyone who is creative is both not humble and happy.
Everyone who is either not tall or strong is both happy and humble and vice versa.
Ev... | Alice is not curious. | entailment | (![X]:(~brave(X)=>~quiet(X)))&
((?[X]:((~tall(X)<~>brave(X))))=>((creative(paul)|humble(paul))))&
((?[X]:(~wise(X)))=>((~rich(alice)&~curious(alice))))&
(![X]:(creative(X)=>(~humble(X)&happy(X))))&
(![X]:((~tall(X)<~>strong(X))<=>(happy(X)&humble(X))))&
(![X]:(~strong(X)=>(~patient(X)<~>~calm(X))))&
(((old(alice)|curio... | ~curious(alice) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2169399135134787231862633
% SZS output start Proof for 2169399135134787231862633
3. ? [X0] : ~wise(X0) => (~curious(alice) & ~rich(alice)) [input p2]
21. ~calm(susan) & ~wise(susan) [input p20]
24. curious(alice) [input hypothesis]
31. (~curious(alice) & ~rich(alice)) | ! [X0] : wise(X0) ... | 0 |
If someone is either creative or not kind then mary is both creative and strong.
Everyone who is both wise and not old is both not quiet and wise and vice versa.
Everyone who is both humble and quiet is calm.
If lucy is not quiet or not creative then mary is both not patient and quiet.
Everyone who is not wise is not k... | Lucy is patient. | contradiction | ((?[X]:((creative(X)<~>~kind(X))))=>((creative(mary)&strong(mary))))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&wise(X))))&
(![X]:((humble(X)&quiet(X))=>calm(X)))&
(((~quiet(lucy)|~creative(lucy)))=>((~patient(mary)&quiet(mary))))&
(![X]:(~wise(X)<=>~kind(X)))&
(![X]:((tall(X)<~>~curious(X))=>(calm(X)|~patient(X))))&
((hap... | patient(lucy) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 793221620244709256361515
% SZS output start Proof for 793221620244709256361515
10. ! [X0] : ((~patient(X0) & wise(X0)) <=> (strong(X0) | ~funny(X0))) [input p9]
13. ! [X0] : (patient(X0) <=> strong(X0)) [input p12]
25. patient(lucy) [input hypothesis]
42. ! [X0] : (((~patient(X0) & wise(X... | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | Mary is kind. | neutral | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | kind(mary) | [] | null | 0 |
If lucy is both strong and not wise then someone is both humble and not quiet and vice versa.
Everyone who is not strong is kind and vice versa.
Everyone who is both not patient and not curious is not creative.
If paul is either funny or brave then lucy is either not humble or not funny and vice versa.
Everyone who is ... | Lucy is not tall. | neutral | (((strong(lucy)&~wise(lucy)))<=>(?[X]:((humble(X)&~quiet(X)))))&
(![X]:(~strong(X)<=>kind(X)))&
(![X]:((~patient(X)&~curious(X))=>~creative(X)))&
(((funny(paul)<~>brave(paul)))<=>((~humble(lucy)<~>~funny(lucy))))&
(![X]:(~brave(X)=>(~calm(X)&~strong(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~humble(X)<~>patient(X))))&
(((~... | ~tall(lucy) | [] | null | 0 |
If someone is generous or not kind then mary is either not curious or not patient and vice versa. Everyone who is either not brave or not patient is both wise and not strong and vice versa. If someone is brave then someone is both wise and not brave and vice versa. Everyone who is not patient is both not old and tall a... | Mary is not wise. | neutral | ((?[X]:((generous(X)|~kind(X))))<=>((~curious(mary)<~>~patient(mary))))&
(![X]:((~brave(X)<~>~patient(X))<=>(wise(X)&~strong(X))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~patient(X)<=>(~old(X)&tall(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~old(X)|~wise(X))))&
(((generous(john)&strong(john)))<=>(?[X]:... | ~wise(mary) | [] | null | 0 |
Everyone who is both tall and not curious is rich and vice versa.
Everyone who is wise or brave is both not generous and funny and vice versa.
If susan is either creative or not humble then paul is not patient and vice versa.
Everyone who is either wise or patient is either not generous or not humble.
If susan is gener... | Susan is strong. | neutral | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:((wise(X)|brave(X))<=>(~generous(X)&funny(X))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))... | strong(susan) | [] | null | 0 |
Everyone who is both funny and not patient is both not calm and curious.
If alice is calm then john is either creative or not funny.
If someone is quiet then paul is tall and vice versa.
If someone is both quiet and brave then someone is both patient and strong.
If someone is kind or not patient then mary is either str... | Paul is brave. | neutral | (![X]:((funny(X)&~patient(X))=>(~calm(X)&curious(X))))&
((calm(alice))=>((creative(john)<~>~funny(john))))&
((?[X]:(quiet(X)))<=>(tall(paul)))&
((?[X]:((quiet(X)&brave(X))))=>(?[X]:((patient(X)&strong(X)))))&
((?[X]:((kind(X)|~patient(X))))=>((strong(mary)<~>~humble(mary))))&
(![X]:((generous(X)&~tall(X))<=>(curious(X)... | brave(paul) | [] | null | 0 |
If alice is either not patient or calm then someone is not patient. If fred is rich or not kind then john is not wise or not strong and vice versa. If john is generous or old then someone is not kind or happy and vice versa. Everyone who is both not tall and tall is both patient and calm and vice versa. If alice is bot... | John is not old. | contradiction | (((~patient(alice)<~>calm(alice)))=>(?[X]:(~patient(X))))&
(((rich(fred)|~kind(fred)))<=>((~wise(john)|~strong(john))))&
(((generous(john)|old(john)))<=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:((~tall(X)&tall(X))<=>(patient(X)&calm(X))))&
(((~generous(alice)&quiet(alice)))<=>(?[X]:((quiet(X)|~happy(X)))))&
(![X]:((humble(... | ~old(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 391789469490671879335800
% SZS output start Proof for 391789469490671879335800
9. ! [X0] : (~old(X0) <=> (~strong(X0) & old(X0))) [input p8]
25. ~old(john) [input hypothesis]
54. ! [X0] : ((~old(X0) | (strong(X0) | ~old(X0))) & ((~strong(X0) & old(X0)) | old(X0))) [nnf transformation 9]
5... | 0 |
If someone is funny then lucy is kind or not patient.
If someone is either wise or tall then someone is not quiet and vice versa.
If someone is both funny and not old then fred is not curious or not funny and vice versa.
If susan is both curious and tall then someone is both patient and not old.
If someone is patient o... | Lucy is not tall. | contradiction | ((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))&
((?[X]:((wise(X)<~>tall(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:((funny(X)&~old(X))))<=>((~curious(fred)|~funny(fred))))&
(((curious(susan)&tall(susan)))=>(?[X]:((patient(X)&~old(X)))))&
((?[X]:((patient(X)|~humble(X))))<=>((funny(john)|~calm(john))))&
(![X]:((old(X)<~>ta... | ~tall(lucy) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 792546317727893201041507
% SZS output start Proof for 792546317727893201041507
7. ! [X0] : (~tall(X0) <=> ~creative(X0)) [input p6]
14. ! [X0] : ((~curious(X0) | ~creative(X0)) => tall(X0)) [input p13]
25. ~tall(lucy) [input hypothesis]
34. ! [X0] : (tall(X0) | (curious(X0) & creative(X0)... | 0 |
If someone is patient then someone is either not quiet or not wise.
If mary is not generous then someone is not old or tall and vice versa.
If paul is not wise or not patient then someone is kind or calm.
Everyone who is strong or generous is not tall or not wise and vice versa.
Everyone who is both not creative and no... | Susan is not patient. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((~quiet(X)<~>~wise(X)))))&
((~generous(mary))<=>(?[X]:((~old(X)|tall(X)))))&
(((~wise(paul)|~patient(paul)))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((strong(X)|generous(X))<=>(~tall(X)|~wise(X))))&
(![X]:((~creative(X)&~wise(X))<=>patient(X)))&
(![X]:((~creative(X)<~>generous(X))=>(generous(X)... | ~patient(susan) | [
"p3",
"p4",
"p5",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6205538359674925967827570
% SZS output start Proof for 6205538359674925967827570
4. ! [X0] : ((generous(X0) | strong(X0)) <=> (~wise(X0) | ~tall(X0))) [input p3]
5. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> patient(X0)) [input p4]
6. ! [X0] : ((~creative(X0) <~> generous(X0)) => (~quiet(X... | 0 |
Everyone who is strong or not calm is either curious or old and vice versa.
Everyone who is both old and not patient is both happy and patient and vice versa.
Everyone who is either not calm or not strong is either kind or quiet and vice versa.
If lucy is either quiet or not creative then someone is both humble and not... | Fred is not old. | entailment | (![X]:((strong(X)|~calm(X))<=>(curious(X)<~>old(X))))&
(![X]:((old(X)&~patient(X))<=>(happy(X)&patient(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(kind(X)<~>quiet(X))))&
(((quiet(lucy)<~>~creative(lucy)))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((kind(X)&~curious(X))<=>(~calm(X)<~>~wise(X))))&
(![X]:((old(X)&~creative... | ~old(fred) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8073818990242667113135885
% SZS output start Proof for 8073818990242667113135885
2. ! [X0] : ((~patient(X0) & old(X0)) <=> (patient(X0) & happy(X0))) [input p1]
11. ! [X0] : (~patient(X0) <=> old(X0)) [input p10]
22. old(fred) [input hypothesis]
31. ! [X0] : (((~patient(X0) & old(X0)) | (... | 0 |
If someone is both not strong and quiet then someone is rich or not happy.
If someone is both not brave and not creative then paul is not rich and vice versa.
If susan is not calm then alice is either not wise or calm and vice versa.
If john is either kind or not happy then someone is either happy or not brave and vice... | Lucy is funny. | neutral | ((?[X]:((~strong(X)&quiet(X))))=>(?[X]:((rich(X)|~happy(X)))))&
((?[X]:((~brave(X)&~creative(X))))<=>(~rich(paul)))&
((~calm(susan))<=>((~wise(alice)<~>calm(alice))))&
(((kind(john)<~>~happy(john)))<=>(?[X]:((happy(X)<~>~brave(X)))))&
(![X]:(~wise(X)=>(~quiet(X)&brave(X))))&
(![X]:((~patient(X)|~humble(X))<=>brave(X)))... | funny(lucy) | [] | null | 0 |
Everyone who is both strong and quiet is not curious or not creative and vice versa.
If someone is both tall and not kind then alice is strong and vice versa.
If someone is not rich then someone is both not curious and quiet.
Everyone who is not kind is both kind and tall and vice versa.
Everyone who is humble or quiet... | Alice is curious. | entailment | (![X]:((strong(X)&quiet(X))<=>(~curious(X)|~creative(X))))&
((?[X]:((tall(X)&~kind(X))))<=>(strong(alice)))&
((?[X]:(~rich(X)))=>(?[X]:((~curious(X)&quiet(X)))))&
(![X]:(~kind(X)<=>(kind(X)&tall(X))))&
(![X]:((humble(X)|quiet(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~humble(X)=>(curious(X)<~>quiet(X))))&
((~kind(fred))<=... | curious(alice) | [
"p0",
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8355870466187936878765718
% SZS output start Proof for 8355870466187936878765718
1. ! [X0] : ((quiet(X0) & strong(X0)) <=> (~creative(X0) | ~curious(X0))) [input p0]
2. ? [X0] : (~kind(X0) & tall(X0)) <=> strong(alice) [input p1]
4. ! [X0] : (~kind(X0) <=> (tall(X0) & kind(X0))) [input p3... | 0 |
Everyone who is either not tall or not happy is not old or calm and vice versa.
Everyone who is humble is both happy and brave and vice versa.
If john is either not wise or not quiet then john is rich and vice versa.
If mary is not patient or not calm then someone is either quiet or humble and vice versa.
Everyone who ... | Paul is kind. | neutral | (![X]:((~tall(X)<~>~happy(X))<=>(~old(X)|calm(X))))&
(![X]:(humble(X)<=>(happy(X)&brave(X))))&
(((~wise(john)<~>~quiet(john)))<=>(rich(john)))&
(((~patient(mary)|~calm(mary)))<=>(?[X]:((quiet(X)<~>humble(X)))))&
(![X]:((funny(X)|tall(X))<=>(~old(X)|funny(X))))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((creative(X)<~>o... | kind(paul) | [] | null | 0 |
Everyone who is not brave is either not generous or strong and vice versa.
If someone is not calm then lucy is both not wise and not creative.
Everyone who is old or not kind is both not curious and not generous.
Everyone who is both kind and tall is either brave or old.
Everyone who is both not creative and not humble... | Paul is not calm. | contradiction | (![X]:(~brave(X)<=>(~generous(X)<~>strong(X))))&
((?[X]:(~calm(X)))=>((~wise(lucy)&~creative(lucy))))&
(![X]:((old(X)|~kind(X))=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)&tall(X))=>(brave(X)<~>old(X))))&
(![X]:((~creative(X)&~humble(X))<=>(~strong(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))<=>quiet(X)))&
(((patien... | ~calm(paul) | [
"p1",
"p5",
"p9",
"p10",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 320587642383864523952730
% SZS output start Proof for 320587642383864523952730
2. ? [X0] : ~calm(X0) => (~creative(lucy) & ~wise(lucy)) [input p1]
6. ! [X0] : ((humble(X0) <~> tall(X0)) <=> quiet(X0)) [input p5]
10. ! [X0] : ((~brave(X0) | brave(X0)) <=> ~brave(X0)) [input p9]
11. ! [X0] ... | 0 |
Everyone who is funny or kind is both not strong and not old and vice versa. If someone is either not generous or not humble then paul is both creative and not generous. Everyone who is both kind and rich is either patient or not humble and vice versa. If someone is not generous then someone is not strong and vice vers... | Alice is not calm. | entailment | (![X]:((funny(X)|kind(X))<=>(~strong(X)&~old(X))))&
((?[X]:((~generous(X)<~>~humble(X))))=>((creative(paul)&~generous(paul))))&
(![X]:((kind(X)&rich(X))<=>(patient(X)<~>~humble(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~strong(X))))&
(![X]:(generous(X)<=>(~happy(X)|strong(X))))&
(![X]:((~calm(X)|~tall(X))=>(~calm(X)|~quie... | ~calm(alice) | [
"p0",
"p4",
"p8",
"p10",
"p11",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8942467243617772376208713
% SZS output start Proof for 8942467243617772376208713
1. ! [X0] : ((kind(X0) | funny(X0)) <=> (~old(X0) & ~strong(X0))) [input p0]
5. ! [X0] : (generous(X0) <=> (strong(X0) | ~happy(X0))) [input p4]
9. ! [X0] : ((curious(X0) | ~generous(X0)) => (old(X0) | rich(X... | 0 |
If someone is both brave and not calm then someone is both wise and rich and vice versa.
If someone is not calm then someone is tall and vice versa.
If susan is either not generous or not strong then someone is not brave.
If lucy is not funny then paul is calm.
Everyone who is wise is both not patient and kind and vice... | Paul is not patient. | contradiction | ((?[X]:((brave(X)&~calm(X))))<=>(?[X]:((wise(X)&rich(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:(tall(X))))&
(((~generous(susan)<~>~strong(susan)))=>(?[X]:(~brave(X))))&
((~funny(lucy))=>(calm(paul)))&
(![X]:(wise(X)<=>(~patient(X)&kind(X))))&
(![X]:(calm(X)=>(humble(X)<~>creative(X))))&
(![X]:((~brave(X)&funny(X))<=>happy(X))... | ~patient(paul) | [
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 550750690499911818850047
% SZS output start Proof for 550750690499911818850047
12. ! [X0] : (~patient(X0) <=> (~quiet(X0) & ~creative(X0))) [input p11]
13. ! [X0] : ((~creative(X0) | ~kind(X0)) => curious(X0)) [input p12]
15. ! [X0] : ((~tall(X0) | tall(X0)) <=> ~curious(X0)) [input p14]
... | 0 |
Everyone who is not humble is not funny and vice versa.
If someone is either not curious or quiet then someone is not strong.
If susan is either not calm or not rich then susan is old or wise and vice versa.
Everyone who is both not happy and not old is kind.
If someone is not kind or not creative then mary is old or n... | Paul is generous. | neutral | (![X]:(~humble(X)<=>~funny(X)))&
((?[X]:((~curious(X)<~>quiet(X))))=>(?[X]:(~strong(X))))&
(((~calm(susan)<~>~rich(susan)))<=>((old(susan)|wise(susan))))&
(![X]:((~happy(X)&~old(X))=>kind(X)))&
((?[X]:((~kind(X)|~creative(X))))<=>((old(mary)|~humble(mary))))&
((brave(alice))=>((happy(susan)<~>~patient(susan))))&
(![X]:... | generous(paul) | [] | null | 0 |
If paul is either happy or quiet then paul is either generous or not funny.
Everyone who is both not generous and rich is not humble and vice versa.
If alice is both generous and humble then someone is wise or not humble.
If fred is kind or wise then someone is either patient or not humble.
If john is calm or not stron... | Susan is curious. | entailment | (((happy(paul)<~>quiet(paul)))=>((generous(paul)<~>~funny(paul))))&
(![X]:((~generous(X)&rich(X))<=>~humble(X)))&
(((generous(alice)&humble(alice)))=>(?[X]:((wise(X)|~humble(X)))))&
(((kind(fred)|wise(fred)))=>(?[X]:((patient(X)<~>~humble(X)))))&
(((calm(john)|~strong(john)))<=>((patient(alice)&quiet(alice))))&
(![X]:(... | curious(susan) | [
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2803074829094113469347713
% SZS output start Proof for 2803074829094113469347713
6. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (~brave(X0) | ~generous(X0))) [input p5]
16. ! [X0] : ((rich(X0) | ~strong(X0)) => (~creative(X0) <~> ~curious(X0))) [input p15]
22. ~brave(susan) & rich(susan) [i... | 0 |
If someone is both patient and tall then john is both curious and not kind and vice versa.
If someone is both not patient and not creative then john is either not kind or not curious.
Everyone who is not calm is not wise or calm and vice versa.
If someone is either happy or old then john is not patient or not curious.
... | John is not quiet. | entailment | ((?[X]:((patient(X)&tall(X))))<=>((curious(john)&~kind(john))))&
((?[X]:((~patient(X)&~creative(X))))=>((~kind(john)<~>~curious(john))))&
(![X]:(~calm(X)<=>(~wise(X)|calm(X))))&
((?[X]:((happy(X)<~>old(X))))=>((~patient(john)|~curious(john))))&
(![X]:((old(X)|happy(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~rich(X)&wise(X... | ~quiet(john) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7996654038414748081656523
% SZS output start Proof for 7996654038414748081656523
3. ! [X0] : (~calm(X0) <=> (calm(X0) | ~wise(X0))) [input p2]
5. ! [X0] : ((happy(X0) | old(X0)) <=> (wise(X0) <~> ~quiet(X0))) [input p4]
8. (~old(john) & ~calm(john)) => ? [X0] : calm(X0) [input p7]
23. qui... | 0 |
If alice is happy or not happy then someone is kind and vice versa.
If someone is either rich or wise then alice is strong or not brave and vice versa.
If mary is both wise and brave then someone is both brave and not happy.
If someone is both creative and tall then someone is strong.
Everyone who is both not rich and ... | Fred is calm. | entailment | (((happy(alice)|~happy(alice)))<=>(?[X]:(kind(X))))&
((?[X]:((rich(X)<~>wise(X))))<=>((strong(alice)|~brave(alice))))&
(((wise(mary)&brave(mary)))=>(?[X]:((brave(X)&~happy(X)))))&
((?[X]:((creative(X)&tall(X))))=>(?[X]:(strong(X))))&
(![X]:((~rich(X)&calm(X))<=>(~creative(X)|generous(X))))&
(((~brave(john)<~>~funny(joh... | calm(fred) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4842299706883349743955248
% SZS output start Proof for 4842299706883349743955248
5. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (generous(X0) | ~creative(X0))) [input p4]
8. ! [X0] : (generous(X0) <=> old(X0)) [input p7]
10. ! [X0] : (~brave(X0) <=> (~brave(X0) <~> ~old(X0))) [input p9]
23. ~cal... | 0 |
If paul is either not happy or calm then someone is either not curious or not brave and vice versa.
If someone is both not brave and old then mary is either not rich or not wise and vice versa.
Everyone who is both not brave and humble is either funny or not tall.
Everyone who is happy is brave or not old and vice vers... | Mary is generous. | neutral | (((~happy(paul)<~>calm(paul)))<=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((~brave(X)&old(X))))<=>((~rich(mary)<~>~wise(mary))))&
(![X]:((~brave(X)&humble(X))=>(funny(X)<~>~tall(X))))&
(![X]:(happy(X)<=>(brave(X)|~old(X))))&
(![X]:((~patient(X)<~>~generous(X))=>old(X)))&
((?[X]:((~rich(X)<~>~generous(X))))=>((~gener... | generous(mary) | [] | null | 0 |
If mary is both generous and not brave then someone is either generous or not happy.
Everyone who is not strong is both not happy and curious and vice versa.
If mary is happy then mary is not quiet or not creative.
If someone is not tall then someone is either patient or not generous and vice versa.
Everyone who is bot... | Paul is rich. | contradiction | (((generous(mary)&~brave(mary)))=>(?[X]:((generous(X)<~>~happy(X)))))&
(![X]:(~strong(X)<=>(~happy(X)&curious(X))))&
((happy(mary))=>((~quiet(mary)|~creative(mary))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)<~>~generous(X)))))&
(![X]:((~strong(X)&calm(X))<=>~wise(X)))&
(![X]:((creative(X)<~>~wise(X))<=>humble(X)))&
(![... | rich(paul) | [
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2200199543147714444231593
% SZS output start Proof for 2200199543147714444231593
13. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (~calm(X0) & calm(X0))) [input p12]
14. ! [X0] : ((~generous(X0) & rich(X0)) <=> (quiet(X0) <~> ~kind(X0))) [input p13]
16. ? [X0] : (kind(X0) <~> quiet(X0)) => ... | 0 |
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