premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is strong is kind and vice versa.
If someone is either not brave or funny then someone is not quiet or not patient and vice versa.
If susan is both not calm and not generous then someone is not generous.
If susan is not brave then someone is happy or patient and vice versa.
If someone is not curious or ric... | Susan is wise. | contradiction | (![X]:(strong(X)<=>kind(X)))&
((?[X]:((~brave(X)<~>funny(X))))<=>(?[X]:((~quiet(X)|~patient(X)))))&
(((~calm(susan)&~generous(susan)))=>(?[X]:(~generous(X))))&
((~brave(susan))<=>(?[X]:((happy(X)|patient(X)))))&
((?[X]:((~curious(X)|rich(X))))<=>((~happy(lucy)<~>rich(lucy))))&
(![X]:(curious(X)<=>(humble(X)<~>~kind(X))... | wise(susan) | [
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1654926687014506149351276
% SZS output start Proof for 1654926687014506149351276
14. ! [X0] : ((quiet(X0) | wise(X0)) <=> (~kind(X0) & ~old(X0))) [input p13]
16. ! [X0] : ((humble(X0) <~> old(X0)) <=> (wise(X0) | ~brave(X0))) [input p15]
21. ~old(susan) <~> humble(susan) [input p20]
25. w... | 0 |
If lucy is not patient or not creative then susan is not old.
Everyone who is both not brave and rich is either not creative or not generous and vice versa.
Everyone who is generous is not creative and vice versa.
Everyone who is either quiet or not creative is either generous or not funny.
Everyone who is not kind is ... | John is patient. | entailment | (((~patient(lucy)|~creative(lucy)))=>(~old(susan)))&
(![X]:((~brave(X)&rich(X))<=>(~creative(X)<~>~generous(X))))&
(![X]:(generous(X)<=>~creative(X)))&
(![X]:((quiet(X)<~>~creative(X))=>(generous(X)<~>~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)<~>creative(X))))&
(![X]:((generous(X)<~>quiet(X))=>(~old(X)&~generous(X))))&
(... | patient(john) | [
"p2",
"p5",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3547122112612103299814223
% SZS output start Proof for 3547122112612103299814223
3. ! [X0] : (generous(X0) <=> ~creative(X0)) [input p2]
6. ! [X0] : ((generous(X0) <~> quiet(X0)) => (~generous(X0) & ~old(X0))) [input p5]
9. ! [X0] : ((patient(X0) <~> ~generous(X0)) => (~curious(X0) & humb... | 0 |
If fred is creative then susan is calm or rich.
Everyone who is either not brave or not funny is brave and vice versa.
Everyone who is brave is not wise and vice versa.
If mary is not wise or not generous then someone is tall or not kind and vice versa.
Everyone who is both not curious and not rich is both old and not ... | Lucy is not rich. | entailment | ((creative(fred))=>((calm(susan)|rich(susan))))&
(![X]:((~brave(X)<~>~funny(X))<=>brave(X)))&
(![X]:(brave(X)<=>~wise(X)))&
(((~wise(mary)|~generous(mary)))<=>(?[X]:((tall(X)|~kind(X)))))&
(![X]:((~curious(X)&~rich(X))<=>(old(X)&~strong(X))))&
((?[X]:((~tall(X)&~happy(X))))<=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:(curio... | ~rich(lucy) | [
"p1",
"p2",
"p6",
"p10",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6002525896570062535855232
% SZS output start Proof for 6002525896570062535855232
2. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> brave(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> ~wise(X0)) [input p2]
7. ! [X0] : (curious(X0) <=> (strong(X0) | ~funny(X0))) [input p6]
11. ! [X0] : ((~generous(... | 0 |
If someone is either generous or not generous then someone is both not old and humble and vice versa.
If susan is brave then lucy is not old.
Everyone who is both patient and brave is not humble or old.
If someone is both kind and quiet then someone is either not quiet or wise and vice versa.
Everyone who is curious or... | Paul is funny. | contradiction | ((?[X]:((generous(X)<~>~generous(X))))<=>(?[X]:((~old(X)&humble(X)))))&
((brave(susan))=>(~old(lucy)))&
(![X]:((patient(X)&brave(X))=>(~humble(X)|old(X))))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:((~quiet(X)<~>wise(X)))))&
(![X]:((curious(X)|~humble(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(~strong(X)=>(~curious(X)<~>~hap... | funny(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4584991386742343121587945
% SZS output start Proof for 4584991386742343121587945
16. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X0] : (~curious(X0) | funny(X0)) [input p15]
24. funny(paul) [input hypothesis]
27. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X1] : (~curious(X1) | funny(X1)) [rectify 16]
... | 0 |
If fred is patient then someone is not patient and vice versa.
If mary is either not strong or not funny then john is both not generous and not brave.
Everyone who is not calm or old is either generous or not calm.
Everyone who is tall or strong is either not brave or funny and vice versa.
Everyone who is wise or not p... | Fred is not patient. | contradiction | ((patient(fred))<=>(?[X]:(~patient(X))))&
(((~strong(mary)<~>~funny(mary)))=>((~generous(john)&~brave(john))))&
(![X]:((~calm(X)|old(X))=>(generous(X)<~>~calm(X))))&
(![X]:((tall(X)|strong(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((wise(X)|~patient(X))<=>(~strong(X)<~>~patient(X))))&
((?[X]:((humble(X)&~strong(X))))=>(~ol... | ~patient(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 773469704812735032782860
% SZS output start Proof for 773469704812735032782860
1. patient(fred) <=> ? [X0] : ~patient(X0) [input p0]
25. ~patient(fred) [input hypothesis]
42. (patient(fred) | ! [X0] : patient(X0)) & (? [X0] : ~patient(X0) | ~patient(fred)) [nnf transformation 1]
43. (pati... | 0 |
Everyone who is both not wise and creative is not kind. If fred is funny or old then someone is both happy and kind and vice versa. Everyone who is not quiet or wise is either not curious or not tall and vice versa. Everyone who is not quiet or not patient is not patient or generous. Everyone who is happy or not patien... | Susan is not old. | contradiction | (![X]:((~wise(X)&creative(X))=>~kind(X)))&
(((funny(fred)|old(fred)))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~quiet(X)|wise(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)|generous(X))))&
(![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:(... | ~old(susan) | [
"p0",
"p6",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5898148267283187669744345
% SZS output start Proof for 5898148267283187669744345
1. ! [X0] : ((creative(X0) & ~wise(X0)) => ~kind(X0)) [input p0]
7. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creative(X0) | ~quie... | 0 |
Everyone who is both strong and not humble is not calm and vice versa.
Everyone who is both not generous and not quiet is patient.
If someone is either happy or funny then alice is not curious or strong and vice versa.
If someone is not rich then lucy is not rich or not generous.
Everyone who is not old or not quiet is... | Lucy is generous. | neutral | (![X]:((strong(X)&~humble(X))<=>~calm(X)))&
(![X]:((~generous(X)&~quiet(X))=>patient(X)))&
((?[X]:((happy(X)<~>funny(X))))<=>((~curious(alice)|strong(alice))))&
((?[X]:(~rich(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((~old(X)|~quiet(X))=>(~funny(X)|~strong(X))))&
((?[X]:(~quiet(X)))<=>((~funny(paul)&~brave(paul)))... | generous(lucy) | [] | null | 0 |
If alice is not rich or calm then mary is old or not generous and vice versa.
If someone is both not humble and not tall then alice is both not happy and generous and vice versa.
Everyone who is not generous is not brave or not kind.
If susan is not happy or not creative then alice is old or curious and vice versa.
If ... | Susan is curious. | neutral | (((~rich(alice)|calm(alice)))<=>((old(mary)|~generous(mary))))&
((?[X]:((~humble(X)&~tall(X))))<=>((~happy(alice)&generous(alice))))&
(![X]:(~generous(X)=>(~brave(X)|~kind(X))))&
(((~happy(susan)|~creative(susan)))<=>((old(alice)|curious(alice))))&
((?[X]:((~creative(X)<~>tall(X))))=>(?[X]:((brave(X)&~tall(X)))))&
((?[... | curious(susan) | [] | null | 0 |
Everyone who is both rich and not old is creative and vice versa.
Everyone who is both not curious and brave is either curious or tall and vice versa.
Everyone who is not kind or not brave is either not rich or curious and vice versa.
Everyone who is happy is tall or rich and vice versa.
If someone is either not kind o... | Susan is not creative. | entailment | (![X]:((rich(X)&~old(X))<=>creative(X)))&
(![X]:((~curious(X)&brave(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~kind(X)|~brave(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(happy(X)<=>(tall(X)|rich(X))))&
((?[X]:((~kind(X)<~>~patient(X))))=>((~funny(paul)<~>brave(paul))))&
(![X]:((~humble(X)&~brave(X))<=>~rich(X)))&
(![X]:((hum... | ~creative(susan) | [
"p0",
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 657188117890238801828912
% SZS output start Proof for 657188117890238801828912
1. ! [X0] : ((~old(X0) & rich(X0)) <=> creative(X0)) [input p0]
6. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> ~rich(X0)) [input p5]
7. ! [X0] : ((~funny(X0) | humble(X0)) <=> (strong(X0) & quiet(X0))) [input p6]
... | 0 |
Everyone who is humble or wise is creative and vice versa.
Everyone who is either not strong or not creative is not calm.
Everyone who is both tall and quiet is not kind and vice versa.
If someone is both not tall and funny then paul is either curious or funny.
If susan is both rich and not calm then someone is not fun... | Susan is strong. | entailment | (![X]:((humble(X)|wise(X))<=>creative(X)))&
(![X]:((~strong(X)<~>~creative(X))=>~calm(X)))&
(![X]:((tall(X)&quiet(X))<=>~kind(X)))&
((?[X]:((~tall(X)&funny(X))))=>((curious(paul)<~>funny(paul))))&
(((rich(susan)&~calm(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~happy(X)|creative(X))))=>((~brave(alice)&brave(alice))))&
((?... | strong(susan) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7655478349238724418171894
% SZS output start Proof for 7655478349238724418171894
1. ! [X0] : ((wise(X0) | humble(X0)) <=> creative(X0)) [input p0]
3. ! [X0] : ((quiet(X0) & tall(X0)) <=> ~kind(X0)) [input p2]
6. ? [X0] : (creative(X0) | ~happy(X0)) => (brave(alice) & ~brave(alice)) [input... | 0 |
Everyone who is curious is either kind or not kind.
Everyone who is either not wise or calm is either curious or not funny and vice versa.
Everyone who is patient is not funny.
Everyone who is not curious or not kind is kind.
If someone is both not kind and funny then someone is not quiet or curious.
If someone is both... | Alice is wise. | entailment | (![X]:(curious(X)=>(kind(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(curious(X)<~>~funny(X))))&
(![X]:(patient(X)=>~funny(X)))&
(![X]:((~curious(X)|~kind(X))=>kind(X)))&
((?[X]:((~kind(X)&funny(X))))=>(?[X]:((~quiet(X)|curious(X)))))&
((?[X]:((~quiet(X)&calm(X))))<=>(?[X]:((~patient(X)|~generous(X)))))&
((?[X]:((q... | wise(alice) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7484356971132712351917544
% SZS output start Proof for 7484356971132712351917544
8. ! [X0] : ((~calm(X0) | ~wise(X0)) => (kind(X0) & happy(X0))) [input p7]
20. ~happy(alice) [input p19]
25. ~wise(alice) [input hypothesis]
32. ! [X0] : ((kind(X0) & happy(X0)) | (calm(X0) & wise(X0))) [ennf... | 0 |
If someone is either patient or not curious then someone is both tall and not humble. Everyone who is either not quiet or brave is not wise and vice versa. Everyone who is not patient is not kind and vice versa. If lucy is both tall and not funny then someone is both not humble and not wise and vice versa. Everyone who... | Susan is not funny. | entailment | ((?[X]:((patient(X)<~>~curious(X))))=>(?[X]:((tall(X)&~humble(X)))))&
(![X]:((~quiet(X)<~>brave(X))<=>~wise(X)))&
(![X]:(~patient(X)<=>~kind(X)))&
(((tall(lucy)&~funny(lucy)))<=>(?[X]:((~humble(X)&~wise(X)))))&
(![X]:((kind(X)<~>~creative(X))<=>(quiet(X)&~happy(X))))&
(![X]:((~wise(X)&~old(X))=>kind(X)))&
(![X]:((~old(... | ~funny(susan) | [
"p2",
"p4",
"p6",
"p10",
"p12",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8340348703683214334250826
% SZS output start Proof for 8340348703683214334250826
3. ! [X0] : (~patient(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (~happy(X0) & quiet(X0))) [input p4]
7. ! [X0] : ((tall(X0) | ~old(X0)) => (~generous(X0) <~> ~wise(X0))) [inp... | 0 |
Everyone who is both kind and not creative is either generous or brave and vice versa.
If someone is tall then someone is both not creative and not brave.
Everyone who is happy is both not calm and not happy.
If lucy is rich then someone is not strong.
Everyone who is both not old and not generous is not curious.
If so... | Mary is happy. | contradiction | (![X]:((kind(X)&~creative(X))<=>(generous(X)<~>brave(X))))&
((?[X]:(tall(X)))=>(?[X]:((~creative(X)&~brave(X)))))&
(![X]:(happy(X)=>(~calm(X)&~happy(X))))&
((rich(lucy))=>(?[X]:(~strong(X))))&
(![X]:((~old(X)&~generous(X))=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:((~quiet... | happy(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6913112090033597911879355
% SZS output start Proof for 6913112090033597911879355
3. ! [X0] : (happy(X0) => (~happy(X0) & ~calm(X0))) [input p2]
24. happy(mary) [input hypothesis]
28. ! [X0] : ((~happy(X0) & ~calm(X0)) | ~happy(X0)) [ennf transformation 3]
94. ~happy(X0) | ~happy(X0) [cnf ... | 0 |
If paul is not curious then someone is quiet or tall and vice versa.
If lucy is either wise or calm then paul is quiet and vice versa.
If susan is not wise then someone is not happy or patient and vice versa.
Everyone who is not strong or brave is generous or curious.
If someone is both not generous and creative then m... | Lucy is happy. | entailment | ((~curious(paul))<=>(?[X]:((quiet(X)|tall(X)))))&
(((wise(lucy)<~>calm(lucy)))<=>(quiet(paul)))&
((~wise(susan))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(generous(X)|curious(X))))&
((?[X]:((~generous(X)&creative(X))))=>((~strong(mary)&~curious(mary))))&
((~funny(paul))<=>(?[X]:(calm(X))))&
(![... | happy(lucy) | [
"p0",
"p1",
"p12",
"p13",
"p14",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8687381439406388864551286
% SZS output start Proof for 8687381439406388864551286
1. ~curious(paul) <=> ? [X0] : (tall(X0) | quiet(X0)) [input p0]
2. (wise(lucy) <~> calm(lucy)) <=> quiet(paul) [input p1]
13. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p12]
14. ! [X0] : ((~wise(X0) <~> ~ha... | 0 |
If someone is both old and quiet then someone is both tall and not rich and vice versa.
If john is kind or quiet then john is brave or strong and vice versa.
If lucy is both humble and brave then john is tall and vice versa.
If mary is both not curious and not wise then fred is either not brave or not humble.
Everyone ... | Susan is patient. | contradiction | ((?[X]:((old(X)&quiet(X))))<=>(?[X]:((tall(X)&~rich(X)))))&
(((kind(john)|quiet(john)))<=>((brave(john)|strong(john))))&
(((humble(lucy)&brave(lucy)))<=>(tall(john)))&
(((~curious(mary)&~wise(mary)))=>((~brave(fred)<~>~humble(fred))))&
(![X]:((brave(X)<~>~tall(X))=>(~patient(X)&~calm(X))))&
((?[X]:((creative(X)<~>brave... | patient(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 417473312166873908736481
% SZS output start Proof for 417473312166873908736481
5. ! [X0] : ((brave(X0) <~> ~tall(X0)) => (~calm(X0) & ~patient(X0))) [input p4]
9. ! [X0] : (tall(X0) <=> brave(X0)) [input p8]
23. patient(susan) [input hypothesis]
30. ! [X0] : ((~calm(X0) & ~patient(X0)) | ... | 0 |
Everyone who is tall or not creative is both not quiet and not patient and vice versa. If john is not quiet then lucy is generous or not strong and vice versa. If fred is not patient or not kind then paul is tall and vice versa. Everyone who is not humble is either kind or not funny and vice versa. Everyone who is old ... | Paul is not kind. | neutral | (![X]:((tall(X)|~creative(X))<=>(~quiet(X)&~patient(X))))&
((~quiet(john))<=>((generous(lucy)|~strong(lucy))))&
(((~patient(fred)|~kind(fred)))<=>(tall(paul)))&
(![X]:(~humble(X)<=>(kind(X)<~>~funny(X))))&
(![X]:((old(X)|~humble(X))=>(happy(X)|kind(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:(rich(X)=>(tall(X)&~cu... | ~kind(paul) | [] | null | 0 |
Everyone who is both not quiet and generous is either tall or humble and vice versa.
Everyone who is not generous is both rich and not happy and vice versa.
If alice is either not curious or not kind then paul is not generous or brave and vice versa.
Everyone who is humble is not happy.
Everyone who is humble is both o... | John is rich. | neutral | (![X]:((~quiet(X)&generous(X))<=>(tall(X)<~>humble(X))))&
(![X]:(~generous(X)<=>(rich(X)&~happy(X))))&
(((~curious(alice)<~>~kind(alice)))<=>((~generous(paul)|brave(paul))))&
(![X]:(humble(X)=>~happy(X)))&
(![X]:(humble(X)<=>(old(X)&happy(X))))&
(![X]:(wise(X)=>(~funny(X)&quiet(X))))&
(![X]:(curious(X)<=>(funny(X)|~bra... | rich(john) | [] | null | 0 |
If alice is not happy or old then someone is either happy or not tall. If someone is either not curious or calm then fred is both patient and strong. If mary is either not quiet or not strong then someone is either creative or curious. Everyone who is strong is not tall. If someone is happy or calm then mary is not qui... | Lucy is not kind. | contradiction | (((~happy(alice)|old(alice)))=>(?[X]:((happy(X)<~>~tall(X)))))&
((?[X]:((~curious(X)<~>calm(X))))=>((patient(fred)&strong(fred))))&
(((~quiet(mary)<~>~strong(mary)))=>(?[X]:((creative(X)<~>curious(X)))))&
(![X]:(strong(X)=>~tall(X)))&
((?[X]:((happy(X)|calm(X))))=>(~quiet(mary)))&
(![X]:((~curious(X)|~calm(X))<=>(~curi... | ~kind(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2823774826999946980142433
% SZS output start Proof for 2823774826999946980142433
2. ? [X0] : (~curious(X0) <~> calm(X0)) => (strong(fred) & patient(fred)) [input p1]
4. ! [X0] : (strong(X0) => ~tall(X0)) [input p3]
6. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (funny(X0) & ~curious(X0))) [i... | 0 |
If someone is not generous then lucy is creative and vice versa.
If fred is both not happy and not calm then john is curious or wise and vice versa.
Everyone who is both creative and curious is both happy and tall and vice versa.
Everyone who is either not brave or rich is both not wise and not brave and vice versa.
Ev... | Mary is not calm. | neutral | ((?[X]:(~generous(X)))<=>(creative(lucy)))&
(((~happy(fred)&~calm(fred)))<=>((curious(john)|wise(john))))&
(![X]:((creative(X)&curious(X))<=>(happy(X)&tall(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:(~tall(X)=>(~wise(X)|rich(X))))&
(((~strong(alice)<~>~kind(alice)))<=>((brave(fred)&tall(fred)))... | ~calm(mary) | [] | null | 0 |
If someone is not old then alice is both not calm and not brave. Everyone who is both not happy and humble is either strong or old. If someone is either not strong or not brave then fred is either old or not creative. Everyone who is both kind and not humble is either not tall or not wise. Everyone who is not brave is ... | John is not funny. | neutral | ((?[X]:(~old(X)))=>((~calm(alice)&~brave(alice))))&
(![X]:((~happy(X)&humble(X))=>(strong(X)<~>old(X))))&
((?[X]:((~strong(X)<~>~brave(X))))=>((old(fred)<~>~creative(fred))))&
(![X]:((kind(X)&~humble(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>calm(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((creative(X)&~brave(X... | ~funny(john) | [] | null | 0 |
Everyone who is both strong and not happy is kind and vice versa.
Everyone who is not quiet or not creative is either kind or calm and vice versa.
Everyone who is both calm and not kind is not tall or strong.
If someone is both not patient and quiet then someone is not brave or tall.
If lucy is both not strong and brav... | John is kind. | neutral | (![X]:((strong(X)&~happy(X))<=>kind(X)))&
(![X]:((~quiet(X)|~creative(X))<=>(kind(X)<~>calm(X))))&
(![X]:((calm(X)&~kind(X))=>(~tall(X)|strong(X))))&
((?[X]:((~patient(X)&quiet(X))))=>(?[X]:((~brave(X)|tall(X)))))&
(((~strong(lucy)&brave(lucy)))=>((old(alice)<~>tall(alice))))&
(((tall(lucy)&~funny(lucy)))<=>((kind(john... | kind(john) | [] | null | 0 |
If john is both tall and brave then john is patient and vice versa. Everyone who is either curious or not funny is not kind and vice versa. Everyone who is rich or not wise is not kind or generous. Everyone who is kind is not creative or old and vice versa. Everyone who is not funny or not brave is both not happy and c... | Paul is calm. | neutral | (((tall(john)&brave(john)))<=>(patient(john)))&
(![X]:((curious(X)<~>~funny(X))<=>~kind(X)))&
(![X]:((rich(X)|~wise(X))=>(~kind(X)|generous(X))))&
(![X]:(kind(X)<=>(~creative(X)|old(X))))&
(![X]:((~funny(X)|~brave(X))=>(~happy(X)&curious(X))))&
(![X]:(~wise(X)<=>generous(X)))&
(![X]:((tall(X)|patient(X))<=>(funny(X)&ki... | calm(paul) | [] | null | 0 |
Everyone who is creative or not brave is strong and vice versa. If susan is not brave or not humble then someone is wise and vice versa. Everyone who is both not wise and not quiet is humble and vice versa. Everyone who is not happy is not wise. If someone is not creative then john is both not brave and creative and vi... | Susan is not generous. | contradiction | (![X]:((creative(X)|~brave(X))<=>strong(X)))&
(((~brave(susan)|~humble(susan)))<=>(?[X]:(wise(X))))&
(![X]:((~wise(X)&~quiet(X))<=>humble(X)))&
(![X]:(~happy(X)=>~wise(X)))&
((?[X]:(~creative(X)))<=>((~brave(john)&creative(john))))&
(![X]:((~quiet(X)&happy(X))=>(patient(X)<~>~quiet(X))))&
(![X]:((happy(X)|quiet(X))<=>(... | ~generous(susan) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3626114429552026146527254
% SZS output start Proof for 3626114429552026146527254
1. ! [X0] : ((~brave(X0) | creative(X0)) <=> strong(X0)) [input p0]
2. (~humble(susan) | ~brave(susan)) <=> ? [X0] : wise(X0) [input p1]
3. ! [X0] : ((~quiet(X0) & ~wise(X0)) <=> humble(X0)) [input p2]
4. ! [... | 0 |
Everyone who is either not kind or strong is either happy or brave and vice versa. Everyone who is happy or generous is both not humble and curious and vice versa. If susan is either not calm or not wise then susan is both quiet and not brave. Everyone who is rich is either kind or old. If someone is curious then someo... | Fred is generous. | neutral | (![X]:((~kind(X)<~>strong(X))<=>(happy(X)<~>brave(X))))&
(![X]:((happy(X)|generous(X))<=>(~humble(X)&curious(X))))&
(((~calm(susan)<~>~wise(susan)))=>((quiet(susan)&~brave(susan))))&
(![X]:(rich(X)=>(kind(X)<~>old(X))))&
((?[X]:(curious(X)))<=>(?[X]:(~kind(X))))&
(((~wise(susan)&curious(susan)))=>(?[X]:(~patient(X))))&... | generous(fred) | [] | null | 0 |
Everyone who is both brave and not quiet is both calm and wise and vice versa.
If paul is humble or not wise then someone is both tall and not funny and vice versa.
Everyone who is patient or not strong is patient and vice versa.
If fred is both strong and creative then alice is both not humble and tall and vice versa.... | Mary is not brave. | neutral | (![X]:((brave(X)&~quiet(X))<=>(calm(X)&wise(X))))&
(((humble(paul)|~wise(paul)))<=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:((patient(X)|~strong(X))<=>patient(X)))&
(((strong(fred)&creative(fred)))<=>((~humble(alice)&tall(alice))))&
((?[X]:((~humble(X)<~>rich(X))))<=>(?[X]:((patient(X)&happy(X)))))&
(![X]:((~quiet(X)<~>pat... | ~brave(mary) | [] | null | 0 |
Everyone who is either not brave or not calm is not brave.
If mary is both not kind and creative then lucy is both not quiet and not patient.
If john is not kind or patient then alice is happy and vice versa.
Everyone who is both not humble and funny is wise or not tall.
Everyone who is not patient or not humble is bot... | Lucy is quiet. | neutral | (![X]:((~brave(X)<~>~calm(X))=>~brave(X)))&
(((~kind(mary)&creative(mary)))=>((~quiet(lucy)&~patient(lucy))))&
(((~kind(john)|patient(john)))<=>(happy(alice)))&
(![X]:((~humble(X)&funny(X))=>(wise(X)|~tall(X))))&
(![X]:((~patient(X)|~humble(X))=>(~creative(X)&~calm(X))))&
(![X]:((~generous(X)<~>~quiet(X))<=>(~kind(X)&~... | quiet(lucy) | [] | null | 0 |
Everyone who is brave or tall is creative or not old.
If someone is both not curious and not humble then someone is both patient and not curious and vice versa.
Everyone who is either rich or not happy is either not quiet or rich and vice versa.
Everyone who is both not patient and not quiet is not brave or not calm an... | Susan is not rich. | neutral | (![X]:((brave(X)|tall(X))=>(creative(X)|~old(X))))&
((?[X]:((~curious(X)&~humble(X))))<=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~brave(X)|~calm(X))))&
(![X]:(wise(X)=>(happy(X)&rich(X))))&
(![X]:((~funny(X)&rich(X))=>strong(X)))&
(![... | ~rich(susan) | [] | null | 0 |
Everyone who is happy is either funny or not generous and vice versa. If someone is brave then someone is both generous and not funny. Everyone who is strong or old is curious or humble. If someone is both wise and not quiet then someone is not funny or not generous and vice versa. Everyone who is not kind or not humbl... | Fred is calm. | neutral | (![X]:(happy(X)<=>(funny(X)<~>~generous(X))))&
((?[X]:(brave(X)))=>(?[X]:((generous(X)&~funny(X)))))&
(![X]:((strong(X)|old(X))=>(curious(X)|humble(X))))&
((?[X]:((wise(X)&~quiet(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:((~kind(X)|~humble(X))<=>curious(X)))&
(![X]:((~wise(X)|~calm(X))=>(wise(X)&~rich(X))))&
(!... | calm(fred) | [] | null | 0 |
If paul is both not creative and not tall then alice is not quiet or creative and vice versa. If mary is both not funny and not kind then someone is happy or not brave. Everyone who is curious is both calm and not happy and vice versa. If fred is brave or happy then mary is patient or not humble. If someone is not happ... | Lucy is not curious. | entailment | (((~creative(paul)&~tall(paul)))<=>((~quiet(alice)|creative(alice))))&
(((~funny(mary)&~kind(mary)))=>(?[X]:((happy(X)|~brave(X)))))&
(![X]:(curious(X)<=>(calm(X)&~happy(X))))&
(((brave(fred)|happy(fred)))=>((patient(mary)|~humble(mary))))&
((?[X]:(~happy(X)))<=>(?[X]:((~funny(X)&~calm(X)))))&
(((wise(mary)&~old(mary))... | ~curious(lucy) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3362750312089901116259237
% SZS output start Proof for 3362750312089901116259237
3. ! [X0] : (curious(X0) <=> (~happy(X0) & calm(X0))) [input p2]
9. ! [X0] : ((~strong(X0) | calm(X0)) <=> ~curious(X0)) [input p8]
25. curious(lucy) [input hypothesis]
42. ! [X0] : ((curious(X0) | (happy(X0)... | 0 |
Everyone who is not rich or wise is both calm and rich and vice versa.
Everyone who is not happy or quiet is both kind and not kind.
If someone is calm or creative then someone is both calm and happy and vice versa.
Everyone who is not happy is quiet and vice versa.
Everyone who is generous is not calm or quiet and vic... | Alice is curious. | contradiction | (![X]:((~rich(X)|wise(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(kind(X)&~kind(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(~happy(X)<=>quiet(X)))&
(![X]:(generous(X)<=>(~calm(X)|quiet(X))))&
((?[X]:((humble(X)|~humble(X))))<=>((tall(lucy)|~creative(lucy))))&
(![X]:((~funn... | curious(alice) | [
"p1",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8445960080938563097898943
% SZS output start Proof for 8445960080938563097898943
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~kind(X0) & kind(X0))) [input p1]
10. ! [X0] : ((strong(X0) & ~old(X0)) <=> (~old(X0) <~> curious(X0))) [input p9]
12. ! [X0] : (~strong(X0) <=> (~brave(X0) & ~happy(... | 0 |
If someone is either old or not creative then someone is both generous and not strong and vice versa. If mary is not curious then someone is not wise. Everyone who is both curious and not old is both not happy and not strong. If someone is both not funny and not humble then lucy is both patient and strong and vice vers... | Lucy is patient. | neutral | ((?[X]:((old(X)<~>~creative(X))))<=>(?[X]:((generous(X)&~strong(X)))))&
((~curious(mary))=>(?[X]:(~wise(X))))&
(![X]:((curious(X)&~old(X))=>(~happy(X)&~strong(X))))&
((?[X]:((~funny(X)&~humble(X))))<=>((patient(lucy)&strong(lucy))))&
(((patient(paul)|tall(paul)))=>(?[X]:((rich(X)&funny(X)))))&
(![X]:((rich(X)&~strong(X... | patient(lucy) | [] | null | 0 |
Everyone who is not patient is both not wise and tall and vice versa. If someone is tall or wise then mary is both not calm and not patient and vice versa. If fred is brave then someone is both rich and not old. Everyone who is both happy and generous is old or wise and vice versa. If someone is either not happy or tal... | Susan is old. | contradiction | (![X]:(~patient(X)<=>(~wise(X)&tall(X))))&
((?[X]:((tall(X)|wise(X))))<=>((~calm(mary)&~patient(mary))))&
((brave(fred))=>(?[X]:((rich(X)&~old(X)))))&
(![X]:((happy(X)&generous(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((... | old(susan) | [
"p0",
"p1",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3305665610834915097383583
% SZS output start Proof for 3305665610834915097383583
1. ! [X0] : (~patient(X0) <=> (tall(X0) & ~wise(X0))) [input p0]
2. ? [X0] : (wise(X0) | tall(X0)) <=> (~patient(mary) & ~calm(mary)) [input p1]
7. ! [X0] : ((~calm(X0) | ~patient(X0)) <=> (wise(X0) & ~curiou... | 0 |
Everyone who is strong is not brave. Everyone who is both tall and quiet is either not generous or not curious and vice versa. Everyone who is either not humble or tall is both rich and not humble and vice versa. Everyone who is not funny or patient is either not old or patient and vice versa. Everyone who is either ca... | Fred is not creative. | neutral | (![X]:(strong(X)=>~brave(X)))&
(![X]:((tall(X)&quiet(X))<=>(~generous(X)<~>~curious(X))))&
(![X]:((~humble(X)<~>tall(X))<=>(rich(X)&~humble(X))))&
(![X]:((~funny(X)|patient(X))<=>(~old(X)<~>patient(X))))&
(![X]:((calm(X)<~>funny(X))=>~calm(X)))&
(![X]:((generous(X)|humble(X))<=>happy(X)))&
(![X]:((~happy(X)&kind(X))=>(... | ~creative(fred) | [] | null | 0 |
Everyone who is both generous and not quiet is either old or strong and vice versa. If alice is both creative and curious then susan is either rich or quiet. Everyone who is happy is not quiet or old and vice versa. Everyone who is either brave or patient is both generous and not happy. If someone is calm then someone ... | Fred is not kind. | entailment | (![X]:((generous(X)&~quiet(X))<=>(old(X)<~>strong(X))))&
(((creative(alice)&curious(alice)))=>((rich(susan)<~>quiet(susan))))&
(![X]:(happy(X)<=>(~quiet(X)|old(X))))&
(![X]:((brave(X)<~>patient(X))=>(generous(X)&~happy(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((old(X)&~funny(X))<=>(strong(X)|~... | ~kind(fred) | [
"p0",
"p2",
"p3",
"p5",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1793216468247277510805549
% SZS output start Proof for 1793216468247277510805549
1. ! [X0] : ((~quiet(X0) & generous(X0)) <=> (old(X0) <~> strong(X0))) [input p0]
3. ! [X0] : (happy(X0) <=> (old(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((brave(X0) <~> patient(X0)) => (~happy(X0) & genero... | 0 |
Everyone who is both not tall and patient is either not patient or tall.
Everyone who is rich is not tall and vice versa.
If someone is humble then fred is either not humble or not patient and vice versa.
Everyone who is happy or curious is either brave or not happy and vice versa.
Everyone who is both not creative and... | Fred is quiet. | neutral | (![X]:((~tall(X)&patient(X))=>(~patient(X)<~>tall(X))))&
(![X]:(rich(X)<=>~tall(X)))&
((?[X]:(humble(X)))<=>((~humble(fred)<~>~patient(fred))))&
(![X]:((happy(X)|curious(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~creative(X)&curious(X))<=>(calm(X)<~>~quiet(X))))&
(((~tall(alice)<~>tall(alice)))=>((rich(john)&old(john))))... | quiet(fred) | [] | null | 0 |
Everyone who is not creative is both not humble and happy.
Everyone who is both not quiet and not old is both generous and not patient.
If someone is rich then lucy is both not happy and wise.
Everyone who is either not wise or not humble is not kind and vice versa.
Everyone who is not brave is not humble and vice vers... | Susan is not strong. | contradiction | (![X]:(~creative(X)=>(~humble(X)&happy(X))))&
(![X]:((~quiet(X)&~old(X))=>(generous(X)&~patient(X))))&
((?[X]:(rich(X)))=>((~happy(lucy)&wise(lucy))))&
(![X]:((~wise(X)<~>~humble(X))<=>~kind(X)))&
(![X]:(~brave(X)<=>~humble(X)))&
(![X]:((calm(X)<~>curious(X))<=>(~patient(X)<~>patient(X))))&
(![X]:((humble(X)<~>~kind(X)... | ~strong(susan) | [
"p3",
"p5",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8731788505265744609611047
% SZS output start Proof for 8731788505265744609611047
4. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> ~kind(X0)) [input p3]
6. ! [X0] : ((calm(X0) <~> curious(X0)) <=> (~patient(X0) <~> patient(X0))) [input p5]
8. ! [X0] : (calm(X0) <=> (curious(X0) | rich(X0))) [i... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not calm or not creative is both wise and tall.
Everyone who is quiet or not tall is kind.
Everyone who is both rich and not curious is both old and not old and vice versa.
Everyone who is kind or old is happy.
Everyone who is both not ... | Susan is not generous. | entailment | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~calm(X)|~creative(X))=>(wise(X)&tall(X))))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | ~generous(susan) | [
"p0",
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6379749061067960755605753
% SZS output start Proof for 6379749061067960755605753
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~generous(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p1]
12. ! [X0] : ((~creative(X0) <~> tall(X0)) <=> (calm(X0) <~> ... | 0 |
If fred is patient or rich then someone is either creative or not kind and vice versa.
Everyone who is humble or not quiet is not funny or not humble.
If paul is not tall or wise then fred is kind or not old and vice versa.
Everyone who is both not rich and not wise is either creative or curious and vice versa.
If some... | Mary is patient. | entailment | (((patient(fred)|rich(fred)))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((humble(X)|~quiet(X))=>(~funny(X)|~humble(X))))&
(((~tall(paul)|wise(paul)))<=>((kind(fred)|~old(fred))))&
(![X]:((~rich(X)&~wise(X))<=>(creative(X)<~>curious(X))))&
((?[X]:((wise(X)|~patient(X))))<=>(~tall(mary)))&
((?[X]:((curious(X)<~>strong(... | patient(mary) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8668206161144146838386669
% SZS output start Proof for 8668206161144146838386669
5. ? [X0] : (~patient(X0) | wise(X0)) <=> ~tall(mary) [input p4]
15. ! [X0] : (~brave(X0) <=> (brave(X0) | tall(X0))) [input p14]
22. ~patient(mary) [input hypothesis]
48. (? [X0] : (~patient(X0) | wise(X0)) ... | 0 |
Everyone who is funny is humble or not humble and vice versa.
If mary is funny or wise then mary is not patient.
If john is both not wise and creative then someone is not humble or not quiet and vice versa.
Everyone who is either not kind or creative is both old and humble.
If mary is rich or kind then john is either n... | Mary is humble. | neutral | (![X]:(funny(X)<=>(humble(X)|~humble(X))))&
(((funny(mary)|wise(mary)))=>(~patient(mary)))&
(((~wise(john)&creative(john)))<=>(?[X]:((~humble(X)|~quiet(X)))))&
(![X]:((~kind(X)<~>creative(X))=>(old(X)&humble(X))))&
(((rich(mary)|kind(mary)))<=>((~kind(john)<~>~curious(john))))&
(((~calm(paul)&strong(paul)))=>((rich(mar... | humble(mary) | [] | null | 0 |
If someone is happy then alice is both not wise and not funny and vice versa.
If paul is not happy or not patient then john is not wise.
If susan is not kind or not tall then mary is brave and vice versa.
Everyone who is either not old or happy is not kind and vice versa.
If someone is either not wise or generous then ... | John is rich. | neutral | ((?[X]:(happy(X)))<=>((~wise(alice)&~funny(alice))))&
(((~happy(paul)|~patient(paul)))=>(~wise(john)))&
(((~kind(susan)|~tall(susan)))<=>(brave(mary)))&
(![X]:((~old(X)<~>happy(X))<=>~kind(X)))&
((?[X]:((~wise(X)<~>generous(X))))=>(?[X]:(~patient(X))))&
(![X]:(tall(X)<=>~rich(X)))&
(![X]:(humble(X)<=>(~wise(X)|~creativ... | rich(john) | [] | null | 0 |
Everyone who is either not creative or not old is both not old and not kind.
Everyone who is either happy or old is either not quiet or tall and vice versa.
Everyone who is both tall and not happy is both creative and not rich.
Everyone who is humble is curious and vice versa.
Everyone who is both not tall and wise is ... | Susan is not creative. | contradiction | (![X]:((~creative(X)<~>~old(X))=>(~old(X)&~kind(X))))&
(![X]:((happy(X)<~>old(X))<=>(~quiet(X)<~>tall(X))))&
(![X]:((tall(X)&~happy(X))=>(creative(X)&~rich(X))))&
(![X]:(humble(X)<=>curious(X)))&
(![X]:((~tall(X)&wise(X))=>(~patient(X)|~old(X))))&
(![X]:((quiet(X)|~wise(X))<=>(creative(X)&patient(X))))&
(((~happy(paul)... | ~creative(susan) | [
"p0",
"p1",
"p2",
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1191789915126095387440965
% SZS output start Proof for 1191789915126095387440965
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => (~kind(X0) & ~old(X0))) [input p0]
2. ! [X0] : ((happy(X0) <~> old(X0)) <=> (~quiet(X0) <~> tall(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & tall(X0)) => (~rich(X0... | 0 |
If someone is either not happy or quiet then mary is both not patient and not calm and vice versa.
If paul is both creative and not rich then mary is not tall or creative.
Everyone who is not old or funny is either old or not patient.
If john is not wise then fred is not creative or not tall and vice versa.
Everyone wh... | Fred is not funny. | entailment | ((?[X]:((~happy(X)<~>quiet(X))))<=>((~patient(mary)&~calm(mary))))&
(((creative(paul)&~rich(paul)))=>((~tall(mary)|creative(mary))))&
(![X]:((~old(X)|funny(X))=>(old(X)<~>~patient(X))))&
((~wise(john))<=>((~creative(fred)|~tall(fred))))&
(![X]:(~calm(X)<=>(creative(X)|~wise(X))))&
(![X]:(old(X)<=>(wise(X)&~calm(X))))&
... | ~funny(fred) | [
"p5",
"p7",
"p8",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4656759063337683524853813
% SZS output start Proof for 4656759063337683524853813
6. ! [X0] : (old(X0) <=> (~calm(X0) & wise(X0))) [input p5]
8. ! [X0] : ((strong(X0) & kind(X0)) <=> (funny(X0) | ~tall(X0))) [input p7]
9. ! [X0] : ((brave(X0) | old(X0)) => old(X0)) [input p8]
16. ! [X0] : ... | 0 |
If someone is either creative or funny then alice is both happy and not brave and vice versa. If alice is not tall then mary is calm and vice versa. Everyone who is either not tall or not calm is either brave or not generous and vice versa. Everyone who is both not kind and old is not kind and vice versa. Everyone who ... | Fred is creative. | neutral | ((?[X]:((creative(X)<~>funny(X))))<=>((happy(alice)&~brave(alice))))&
((~tall(alice))<=>(calm(mary)))&
(![X]:((~tall(X)<~>~calm(X))<=>(brave(X)<~>~generous(X))))&
(![X]:((~kind(X)&old(X))<=>~kind(X)))&
(![X]:(~calm(X)<=>rich(X)))&
(((tall(mary)<~>~tall(mary)))<=>((quiet(alice)|~old(alice))))&
(![X]:(happy(X)<=>old(X)))... | creative(fred) | [] | null | 0 |
Everyone who is not funny or kind is either tall or quiet.
If someone is either not curious or funny then someone is strong and vice versa.
Everyone who is either wise or kind is quiet and vice versa.
Everyone who is not happy is not creative and vice versa.
Everyone who is both not curious and not calm is patient.
Eve... | Paul is curious. | contradiction | (![X]:((~funny(X)|kind(X))=>(tall(X)<~>quiet(X))))&
((?[X]:((~curious(X)<~>funny(X))))<=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>kind(X))<=>quiet(X)))&
(![X]:(~happy(X)<=>~creative(X)))&
(![X]:((~curious(X)&~calm(X))=>patient(X)))&
(![X]:((~humble(X)|quiet(X))=>(~humble(X)&~happy(X))))&
(![X]:((tall(X)<~>patient(X))<=>(... | curious(paul) | [
"p0",
"p6",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4114252865317584574235460
% SZS output start Proof for 4114252865317584574235460
1. ! [X0] : ((kind(X0) | ~funny(X0)) => (tall(X0) <~> quiet(X0))) [input p0]
7. ! [X0] : ((tall(X0) <~> patient(X0)) <=> (tall(X0) | ~patient(X0))) [input p6]
8. ! [X0] : ((~funny(X0) | curious(X0)) => ~happy... | 0 |
Everyone who is not strong is not patient and vice versa. Everyone who is not old or not creative is both generous and not strong. Everyone who is both wise and strong is not funny and vice versa. Everyone who is not happy or creative is both curious and quiet and vice versa. Everyone who is either not happy or not cal... | Lucy is not old. | contradiction | (![X]:(~strong(X)<=>~patient(X)))&
(![X]:((~old(X)|~creative(X))=>(generous(X)&~strong(X))))&
(![X]:((wise(X)&strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|creative(X))<=>(curious(X)&quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>brave(X)))&
(((~funny(lucy)<~>~curious(lucy)))=>((funny(susan)&strong(susan))))&
(![X]:((~stron... | ~old(lucy) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1766540249833996036247954
% SZS output start Proof for 1766540249833996036247954
1. ! [X0] : (~strong(X0) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~old(X0)) => (~strong(X0) & generous(X0))) [input p1]
3. ! [X0] : ((strong(X0) & wise(X0)) <=> ~funny(X0)) [input p2]
7. ! [... | 0 |
Everyone who is generous or not strong is both not patient and old and vice versa.
Everyone who is happy is both brave and kind and vice versa.
If fred is not old then someone is both happy and creative.
Everyone who is either creative or kind is both not tall and curious and vice versa.
If someone is generous or brave... | Alice is old. | entailment | (![X]:((generous(X)|~strong(X))<=>(~patient(X)&old(X))))&
(![X]:(happy(X)<=>(brave(X)&kind(X))))&
((~old(fred))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((creative(X)<~>kind(X))<=>(~tall(X)&curious(X))))&
((?[X]:((generous(X)|brave(X))))=>(?[X]:(curious(X))))&
(![X]:((tall(X)|~old(X))<=>(~brave(X)&~curious(X))))&
(![X]... | old(alice) | [
"p5",
"p8",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4418591902322313656646604
% SZS output start Proof for 4418591902322313656646604
6. ! [X0] : ((~old(X0) | tall(X0)) <=> (~curious(X0) & ~brave(X0))) [input p5]
9. ! [X0] : ((rich(X0) | ~tall(X0)) <=> creative(X0)) [input p8]
10. ? [X0] : (curious(X0) & creative(X0)) <=> (~brave(alice) <~>... | 0 |
If someone is curious then paul is either rich or not old.
If lucy is not happy or creative then someone is humble and vice versa.
Everyone who is both happy and not rich is both generous and not generous and vice versa.
Everyone who is not rich or not creative is both generous and patient and vice versa.
Everyone who ... | Paul is brave. | entailment | ((?[X]:(curious(X)))=>((rich(paul)<~>~old(paul))))&
(((~happy(lucy)|creative(lucy)))<=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~rich(X))<=>(generous(X)&~generous(X))))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(... | brave(paul) | [
"p2",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5133168758308299966115046
% SZS output start Proof for 5133168758308299966115046
3. ! [X0] : ((~rich(X0) & happy(X0)) <=> (~generous(X0) & generous(X0))) [input p2]
5. ! [X0] : ((~happy(X0) <~> ~brave(X0)) => (old(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (funny(X0) <=> rich(X0)) [input... | 0 |
If someone is not patient or not generous then alice is either not humble or old. If someone is both happy and rich then john is either not quiet or curious. Everyone who is rich is either strong or not brave and vice versa. Everyone who is wise is curious and vice versa. Everyone who is either quiet or not quiet is bo... | Susan is not wise. | neutral | ((?[X]:((~patient(X)|~generous(X))))=>((~humble(alice)<~>old(alice))))&
((?[X]:((happy(X)&rich(X))))=>((~quiet(john)<~>curious(john))))&
(![X]:(rich(X)<=>(strong(X)<~>~brave(X))))&
(![X]:(wise(X)<=>curious(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(generous(X)&~creative(X))))&
(((old(john)<~>~old(john)))=>(?[X]:((~humble(X... | ~wise(susan) | [] | null | 0 |
Everyone who is not wise or calm is either strong or not calm.
Everyone who is calm is both curious and not quiet and vice versa.
If someone is both brave and old then someone is patient and vice versa.
If someone is both wise and calm then lucy is both generous and not patient and vice versa.
Everyone who is wise is c... | John is quiet. | neutral | (![X]:((~wise(X)|calm(X))=>(strong(X)<~>~calm(X))))&
(![X]:(calm(X)<=>(curious(X)&~quiet(X))))&
((?[X]:((brave(X)&old(X))))<=>(?[X]:(patient(X))))&
((?[X]:((wise(X)&calm(X))))<=>((generous(lucy)&~patient(lucy))))&
(![X]:(wise(X)=>(curious(X)|~brave(X))))&
(![X]:(generous(X)=>humble(X)))&
(((~kind(mary)<~>brave(mary)))=... | quiet(john) | [] | null | 0 |
Everyone who is both calm and quiet is both not happy and curious and vice versa. Everyone who is not wise is quiet and vice versa. If someone is not generous or not calm then someone is curious. If someone is old then lucy is both old and not tall. Everyone who is either not patient or brave is both humble and not hap... | Mary is not humble. | neutral | (![X]:((calm(X)&quiet(X))<=>(~happy(X)&curious(X))))&
(![X]:(~wise(X)<=>quiet(X)))&
((?[X]:((~generous(X)|~calm(X))))=>(?[X]:(curious(X))))&
((?[X]:(old(X)))=>((old(lucy)&~tall(lucy))))&
(![X]:((~patient(X)<~>brave(X))<=>(humble(X)&~happy(X))))&
(![X]:((tall(X)|~creative(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~quie... | ~humble(mary) | [] | null | 0 |
Everyone who is both funny and strong is calm or curious and vice versa.
If alice is not strong then someone is wise or not quiet.
Everyone who is not patient is wise.
If fred is both old and kind then someone is either old or not creative and vice versa.
Everyone who is not rich or tall is happy.
If someone is quiet o... | Fred is not calm. | contradiction | (![X]:((funny(X)&strong(X))<=>(calm(X)|curious(X))))&
((~strong(alice))=>(?[X]:((wise(X)|~quiet(X)))))&
(![X]:(~patient(X)=>wise(X)))&
(((old(fred)&kind(fred)))<=>(?[X]:((old(X)<~>~creative(X)))))&
(![X]:((~rich(X)|tall(X))=>happy(X)))&
((?[X]:((quiet(X)|wise(X))))<=>((wise(paul)&strong(paul))))&
(((kind(john)|~old(joh... | ~calm(fred) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p14",
"p15",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3841288593566185135676194
% SZS output start Proof for 3841288593566185135676194
1. ! [X0] : ((strong(X0) & funny(X0)) <=> (curious(X0) | calm(X0))) [input p0]
3. ! [X0] : (~patient(X0) => wise(X0)) [input p2]
4. (kind(fred) & old(fred)) <=> ? [X0] : (old(X0) <~> ~creative(X0)) [input p3]... | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Mary is strong. | contradiction | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | strong(mary) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7754159083444735108577247
% SZS output start Proof for 7754159083444735108577247
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
14. ! [X0] : (quiet(X0) => (~funny(X0) & calm(X0))) [input p13]
21. strong(mary) [input hypot... | 0 |
If fred is either not brave or quiet then alice is not rich and vice versa.
Everyone who is both calm and not wise is either tall or not happy.
Everyone who is not kind is quiet.
Everyone who is not humble or not creative is both creative and humble.
If mary is both not strong and not tall then someone is patient and v... | Lucy is not strong. | neutral | (((~brave(fred)<~>quiet(fred)))<=>(~rich(alice)))&
(![X]:((calm(X)&~wise(X))=>(tall(X)<~>~happy(X))))&
(![X]:(~kind(X)=>quiet(X)))&
(![X]:((~humble(X)|~creative(X))=>(creative(X)&humble(X))))&
(((~strong(mary)&~tall(mary)))<=>(?[X]:(patient(X))))&
(((creative(lucy)|~calm(lucy)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]... | ~strong(lucy) | [] | null | 0 |
If alice is curious or brave then john is both not creative and not quiet.
If someone is not happy or rich then alice is both calm and not calm and vice versa.
If susan is kind then alice is creative or funny and vice versa.
Everyone who is both not rich and not funny is humble or patient and vice versa.
Everyone who i... | Alice is patient. | neutral | (((curious(alice)|brave(alice)))=>((~creative(john)&~quiet(john))))&
((?[X]:((~happy(X)|rich(X))))<=>((calm(alice)&~calm(alice))))&
((kind(susan))<=>((creative(alice)|funny(alice))))&
(![X]:((~rich(X)&~funny(X))<=>(humble(X)|patient(X))))&
(![X]:(~kind(X)<=>(strong(X)<~>wise(X))))&
(![X]:(calm(X)<=>(rich(X)<~>~humble(X... | patient(alice) | [] | null | 0 |
Everyone who is both old and generous is patient or not curious.
Everyone who is either not rich or not happy is quiet or not kind and vice versa.
Everyone who is not creative is either not old or not kind.
If someone is not funny then someone is curious or funny.
If someone is not curious or not patient then someone i... | Paul is not calm. | entailment | (![X]:((old(X)&generous(X))=>(patient(X)|~curious(X))))&
(![X]:((~rich(X)<~>~happy(X))<=>(quiet(X)|~kind(X))))&
(![X]:(~creative(X)=>(~old(X)<~>~kind(X))))&
((?[X]:(~funny(X)))=>(?[X]:((curious(X)|funny(X)))))&
((?[X]:((~curious(X)|~patient(X))))=>(?[X]:((~creative(X)<~>quiet(X)))))&
((wise(john))=>((~rich(paul)&funny(... | ~calm(paul) | [
"p1",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1359608789886595927618920
% SZS output start Proof for 1359608789886595927618920
2. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> (~kind(X0) | quiet(X0))) [input p1]
9. ! [X0] : ((strong(X0) & funny(X0)) <=> (~strong(X0) | rich(X0))) [input p8]
10. ! [X0] : ((~strong(X0) <~> calm(X0)) => (calm... | 0 |
Everyone who is both creative and calm is not calm and vice versa. If someone is rich then mary is either rich or creative. Everyone who is either wise or not strong is humble or strong and vice versa. If lucy is humble or curious then someone is either not rich or old. Everyone who is both wise and tall is not wise or... | Mary is strong. | neutral | (![X]:((creative(X)&calm(X))<=>~calm(X)))&
((?[X]:(rich(X)))=>((rich(mary)<~>creative(mary))))&
(![X]:((wise(X)<~>~strong(X))<=>(humble(X)|strong(X))))&
(((humble(lucy)|curious(lucy)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((wise(X)&tall(X))<=>(~wise(X)|generous(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((~quiet(X... | strong(mary) | [] | null | 0 |
If alice is both not old and patient then someone is either not generous or happy.
Everyone who is not happy or not humble is happy and vice versa.
Everyone who is creative or not quiet is both not brave and brave and vice versa.
If someone is both patient and humble then someone is both quiet and not calm.
If someone ... | Paul is creative. | contradiction | (((~old(alice)&patient(alice)))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((~happy(X)|~humble(X))<=>happy(X)))&
(![X]:((creative(X)|~quiet(X))<=>(~brave(X)&brave(X))))&
((?[X]:((patient(X)&humble(X))))=>(?[X]:((quiet(X)&~calm(X)))))&
((?[X]:((old(X)&patient(X))))=>((creative(susan)&old(susan))))&
(![X]:(~old(X)<=>(cr... | creative(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 681658592360292445114656
% SZS output start Proof for 681658592360292445114656
3. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (brave(X0) & ~brave(X0))) [input p2]
22. creative(paul) [input hypothesis]
41. ! [X0] : (((~quiet(X0) | creative(X0)) | (~brave(X0) | brave(X0))) & ((brave(X0) & ~br... | 0 |
If john is either wise or not old then susan is curious and vice versa. Everyone who is both curious and not wise is both not rich and funny. If paul is either curious or not funny then someone is not happy and vice versa. Everyone who is both not kind and not rich is creative and vice versa. If fred is both strong and... | Susan is calm. | neutral | (((wise(john)<~>~old(john)))<=>(curious(susan)))&
(![X]:((curious(X)&~wise(X))=>(~rich(X)&funny(X))))&
(((curious(paul)<~>~funny(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)&~rich(X))<=>creative(X)))&
(((strong(fred)&wise(fred)))<=>((generous(john)<~>patient(john))))&
(![X]:((old(X)&tall(X))<=>(curious(X)&kind(X))))... | calm(susan) | [] | null | 0 |
If lucy is tall then someone is not calm or not old and vice versa.
If john is either not tall or rich then lucy is old or patient and vice versa.
Everyone who is patient is both humble and rich.
Everyone who is both quiet and not generous is both not rich and curious.
Everyone who is funny is either not happy or not p... | John is patient. | contradiction | ((tall(lucy))<=>(?[X]:((~calm(X)|~old(X)))))&
(((~tall(john)<~>rich(john)))<=>((old(lucy)|patient(lucy))))&
(![X]:(patient(X)=>(humble(X)&rich(X))))&
(![X]:((quiet(X)&~generous(X))=>(~rich(X)&curious(X))))&
(![X]:(funny(X)=>(~happy(X)<~>~patient(X))))&
(![X]:((calm(X)&~quiet(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((gen... | patient(john) | [
"p2",
"p3",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2615520213184253692159784
% SZS output start Proof for 2615520213184253692159784
3. ! [X0] : (patient(X0) => (rich(X0) & humble(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & quiet(X0)) => (curious(X0) & ~rich(X0))) [input p3]
11. ! [X0] : (creative(X0) <=> (~strong(X0) | generous(X0))) [... | 0 |
Everyone who is not old is both wise and not wise.
If john is not calm then mary is humble.
Everyone who is either not rich or calm is either not funny or quiet.
Everyone who is both not generous and tall is brave and vice versa.
If lucy is not happy or funny then john is both humble and happy and vice versa.
Everyone ... | Alice is old. | entailment | (![X]:(~old(X)=>(wise(X)&~wise(X))))&
((~calm(john))=>(humble(mary)))&
(![X]:((~rich(X)<~>calm(X))=>(~funny(X)<~>quiet(X))))&
(![X]:((~generous(X)&tall(X))<=>brave(X)))&
(((~happy(lucy)|funny(lucy)))<=>((humble(john)&happy(john))))&
(![X]:((funny(X)&brave(X))<=>(curious(X)<~>generous(X))))&
(![X]:((strong(X)<~>~old(X))... | old(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8148482143065434390515840
% SZS output start Proof for 8148482143065434390515840
1. ! [X0] : (~old(X0) => (~wise(X0) & wise(X0))) [input p0]
25. ~old(alice) [input hypothesis]
27. ! [X0] : ((~wise(X0) & wise(X0)) | old(X0)) [ennf transformation 1]
81. wise(X0) | old(X0) [cnf transformatio... | 0 |
If susan is either kind or not creative then susan is not calm or generous and vice versa. If john is both curious and not generous then someone is both brave and not brave. Everyone who is either happy or humble is either generous or not patient. Everyone who is not old is not humble and vice versa. If fred is either ... | Mary is creative. | entailment | (((kind(susan)<~>~creative(susan)))<=>((~calm(susan)|generous(susan))))&
(((curious(john)&~generous(john)))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((happy(X)<~>humble(X))=>(generous(X)<~>~patient(X))))&
(![X]:(~old(X)<=>~humble(X)))&
(((~funny(fred)<~>~kind(fred)))=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(wise(X)=>(~strong... | creative(mary) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7185970471013236515785655
% SZS output start Proof for 7185970471013236515785655
4. ! [X0] : (~old(X0) <=> ~humble(X0)) [input p3]
6. ! [X0] : (wise(X0) => (rich(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((~kind(X0) <~> ~creative(X0)) <=> (~humble(X0) <~> ~strong(X0))) [input p7]
9. ! [X... | 0 |
If someone is happy or kind then lucy is both rich and not tall and vice versa. Everyone who is either not tall or not humble is old or not happy and vice versa. Everyone who is quiet is either quiet or brave. If someone is both kind and quiet then someone is both curious and creative and vice versa. If susan is kind t... | Alice is happy. | entailment | ((?[X]:((happy(X)|kind(X))))<=>((rich(lucy)&~tall(lucy))))&
(![X]:((~tall(X)<~>~humble(X))<=>(old(X)|~happy(X))))&
(![X]:(quiet(X)=>(quiet(X)<~>brave(X))))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:((curious(X)&creative(X)))))&
((kind(susan))<=>(?[X]:((patient(X)|rich(X)))))&
(![X]:(happy(X)<=>(~humble(X)&brave(X))))&
(![X... | happy(alice) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4435844820581626437546088
% SZS output start Proof for 4435844820581626437546088
2. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~happy(X0) | old(X0))) [input p1]
7. ! [X0] : ((tall(X0) | ~strong(X0)) <=> (humble(X0) & strong(X0))) [input p6]
22. ~happy(alice) [input hypothesis]
41. ! [X0] ... | 0 |
Everyone who is both patient and wise is not creative or not generous and vice versa. If someone is happy or creative then someone is generous. If fred is either tall or strong then john is not rich. Everyone who is both not quiet and quiet is not creative or not rich and vice versa. Everyone who is both not wise and r... | John is calm. | entailment | (![X]:((patient(X)&wise(X))<=>(~creative(X)|~generous(X))))&
((?[X]:((happy(X)|creative(X))))=>(?[X]:(generous(X))))&
(((tall(fred)<~>strong(fred)))=>(~rich(john)))&
(![X]:((~quiet(X)&quiet(X))<=>(~creative(X)|~rich(X))))&
(![X]:((~wise(X)&rich(X))<=>(~tall(X)<~>~generous(X))))&
(((kind(john)<~>brave(john)))=>(generous... | calm(john) | [
"p0",
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4898527967362285098798025
% SZS output start Proof for 4898527967362285098798025
1. ! [X0] : ((wise(X0) & patient(X0)) <=> (~generous(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~rich(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((rich(X0) & ~wise(X0)) <=> ... | 0 |
If someone is humble or not generous then someone is rich or not wise.
If someone is both not creative and not curious then mary is brave.
If someone is both brave and wise then someone is either not rich or kind and vice versa.
Everyone who is either not old or not rich is not tall or calm and vice versa.
If someone i... | Fred is not patient. | entailment | ((?[X]:((humble(X)|~generous(X))))=>(?[X]:((rich(X)|~wise(X)))))&
((?[X]:((~creative(X)&~curious(X))))=>(brave(mary)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:((~old(X)<~>~rich(X))<=>(~tall(X)|calm(X))))&
((?[X]:((~brave(X)<~>~kind(X))))<=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:((generous(X)&... | ~patient(fred) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 775436581164313658822060
% SZS output start Proof for 775436581164313658822060
4. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (calm(X0) | ~tall(X0))) [input p3]
5. ? [X0] : (~brave(X0) <~> ~kind(X0)) <=> ? [X0] : (kind(X0) & ~kind(X0)) [input p4]
7. ! [X0] : (funny(X0) <=> (~patient(X0) | ~cur... | 0 |
Everyone who is not tall or not quiet is not kind or not quiet. If susan is kind then john is wise or not funny and vice versa. Everyone who is not funny is either creative or happy and vice versa. Everyone who is patient or not tall is both not patient and quiet and vice versa. Everyone who is not creative or old is q... | John is funny. | entailment | (![X]:((~tall(X)|~quiet(X))=>(~kind(X)|~quiet(X))))&
((kind(susan))<=>((wise(john)|~funny(john))))&
(![X]:(~funny(X)<=>(creative(X)<~>happy(X))))&
(![X]:((patient(X)|~tall(X))<=>(~patient(X)&quiet(X))))&
(![X]:((~creative(X)|old(X))=>quiet(X)))&
(((patient(fred)<~>~humble(fred)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:... | funny(john) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5632515222986294948930764
% SZS output start Proof for 5632515222986294948930764
1. ! [X0] : ((~quiet(X0) | ~tall(X0)) => (~quiet(X0) | ~kind(X0))) [input p0]
2. kind(susan) <=> (~funny(john) | wise(john)) [input p1]
4. ! [X0] : ((~tall(X0) | patient(X0)) <=> (quiet(X0) & ~patient(X0))) [... | 0 |
Everyone who is either not rich or old is either not creative or not wise. If someone is patient or not kind then lucy is not patient and vice versa. If someone is either old or quiet then susan is not brave or not kind and vice versa. Everyone who is both patient and not funny is either not funny or not calm and vice ... | Paul is wise. | entailment | (![X]:((~rich(X)<~>old(X))=>(~creative(X)<~>~wise(X))))&
((?[X]:((patient(X)|~kind(X))))<=>(~patient(lucy)))&
((?[X]:((old(X)<~>quiet(X))))<=>((~brave(susan)|~kind(susan))))&
(![X]:((patient(X)&~funny(X))<=>(~funny(X)<~>~calm(X))))&
((~calm(paul))<=>((curious(paul)|patient(paul))))&
(![X]:(kind(X)=>(curious(X)|~old(X))... | wise(paul) | [
"p3",
"p4",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8197990092422192818219127
% SZS output start Proof for 8197990092422192818219127
4. ! [X0] : ((~funny(X0) & patient(X0)) <=> (~funny(X0) <~> ~calm(X0))) [input p3]
5. ~calm(paul) <=> (patient(paul) | curious(paul)) [input p4]
9. ! [X0] : ((curious(X0) <~> ~humble(X0)) <=> (happy(X0) & gen... | 0 |
If someone is either strong or old then fred is wise or not quiet. If someone is not tall or kind then someone is both not old and not brave and vice versa. If someone is not curious or not calm then someone is either old or brave and vice versa. If fred is either rich or not brave then lucy is not wise or strong and v... | Susan is brave. | contradiction | ((?[X]:((strong(X)<~>old(X))))=>((wise(fred)|~quiet(fred))))&
((?[X]:((~tall(X)|kind(X))))<=>(?[X]:((~old(X)&~brave(X)))))&
((?[X]:((~curious(X)|~calm(X))))<=>(?[X]:((old(X)<~>brave(X)))))&
(((rich(fred)<~>~brave(fred)))<=>((~wise(lucy)|strong(lucy))))&
(((quiet(fred)&~strong(fred)))<=>(?[X]:((happy(X)&~wise(X)))))&
(!... | brave(susan) | [
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7314007905078871732723545
% SZS output start Proof for 7314007905078871732723545
11. ! [X0] : ((~wise(X0) & rich(X0)) <=> brave(X0)) [input p10]
18. wise(susan) [input p17]
25. brave(susan) [input hypothesis]
70. ! [X0] : (((~wise(X0) & rich(X0)) | ~brave(X0)) & (brave(X0) | (wise(X0) | ~... | 0 |
If paul is wise or not wise then mary is both humble and not creative and vice versa.
If susan is not happy or not creative then someone is both brave and not rich.
If mary is either not calm or not happy then mary is tall or not creative and vice versa.
If mary is not curious then paul is not happy or rich and vice ve... | Mary is humble. | entailment | (((wise(paul)|~wise(paul)))<=>((humble(mary)&~creative(mary))))&
(((~happy(susan)|~creative(susan)))=>(?[X]:((brave(X)&~rich(X)))))&
(((~calm(mary)<~>~happy(mary)))<=>((tall(mary)|~creative(mary))))&
((~curious(mary))<=>((~happy(paul)|rich(paul))))&
(![X]:((~curious(X)|~rich(X))<=>(quiet(X)<~>~old(X))))&
(![X]:(quiet(X... | humble(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4506699964827327067299075
% SZS output start Proof for 4506699964827327067299075
1. (~wise(paul) | wise(paul)) <=> (~creative(mary) & humble(mary)) [input p0]
25. ~humble(mary) [input hypothesis]
33. ((~wise(paul) | wise(paul)) | (creative(mary) | ~humble(mary))) & ((~creative(mary) & hum... | 0 |
Everyone who is either humble or not calm is not happy. Everyone who is happy is humble and vice versa. Everyone who is either not curious or not funny is strong and vice versa. Everyone who is either not kind or not rich is either not happy or brave and vice versa. Everyone who is both not calm and not humble is not r... | Paul is quiet. | neutral | (![X]:((humble(X)<~>~calm(X))=>~happy(X)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~curious(X)<~>~funny(X))<=>strong(X)))&
(![X]:((~kind(X)<~>~rich(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~calm(X)&~humble(X))<=>(~rich(X)|wise(X))))&
((~calm(alice))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:(happy(X)<=>(~curious(X)|~hap... | quiet(paul) | [] | null | 0 |
Everyone who is either not brave or brave is not generous or strong.
Everyone who is either happy or kind is both not brave and patient and vice versa.
Everyone who is either creative or calm is not happy or brave and vice versa.
Everyone who is patient or not happy is humble.
Everyone who is either not strong or happy... | Mary is not rich. | contradiction | (![X]:((~brave(X)<~>brave(X))=>(~generous(X)|strong(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~brave(X)&patient(X))))&
(![X]:((creative(X)<~>calm(X))<=>(~happy(X)|brave(X))))&
(![X]:((patient(X)|~happy(X))=>humble(X)))&
(![X]:((~strong(X)<~>happy(X))<=>(~happy(X)|brave(X))))&
((?[X]:((tall(X)|quiet(X))))<=>(?[X]:((quiet(X)... | ~rich(mary) | [
"p1",
"p4",
"p7",
"p10",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5488985651189709453133942
% SZS output start Proof for 5488985651189709453133942
2. ! [X0] : ((happy(X0) <~> kind(X0)) <=> (patient(X0) & ~brave(X0))) [input p1]
5. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (brave(X0) | ~happy(X0))) [input p4]
8. ! [X0] : (kind(X0) <=> (~old(X0) | curious... | 0 |
Everyone who is not patient or not happy is both not rich and strong.
If someone is not quiet or not generous then mary is both not brave and rich and vice versa.
If someone is both happy and quiet then mary is both not calm and not brave.
If someone is quiet or not brave then someone is either old or not brave.
Everyo... | Mary is tall. | entailment | (![X]:((~patient(X)|~happy(X))=>(~rich(X)&strong(X))))&
((?[X]:((~quiet(X)|~generous(X))))<=>((~brave(mary)&rich(mary))))&
((?[X]:((happy(X)&quiet(X))))=>((~calm(mary)&~brave(mary))))&
((?[X]:((quiet(X)|~brave(X))))=>(?[X]:((old(X)<~>~brave(X)))))&
(![X]:((~happy(X)|~strong(X))=>(humble(X)<~>~humble(X))))&
(((~kind(mar... | tall(mary) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1920184896102434343145330
% SZS output start Proof for 1920184896102434343145330
1. ! [X0] : ((~happy(X0) | ~patient(X0)) => (strong(X0) & ~rich(X0))) [input p0]
2. ? [X0] : (~generous(X0) | ~quiet(X0)) <=> (rich(mary) & ~brave(mary)) [input p1]
3. ? [X0] : (quiet(X0) & happy(X0)) => (~br... | 0 |
If fred is both not creative and happy then john is either rich or curious and vice versa. Everyone who is either funny or creative is kind and vice versa. If someone is either not creative or quiet then susan is not quiet or old. If someone is either not tall or calm then someone is both not patient and tall and vice ... | Fred is curious. | contradiction | (((~creative(fred)&happy(fred)))<=>((rich(john)<~>curious(john))))&
(![X]:((funny(X)<~>creative(X))<=>kind(X)))&
((?[X]:((~creative(X)<~>quiet(X))))=>((~quiet(susan)|old(susan))))&
((?[X]:((~tall(X)<~>calm(X))))<=>(?[X]:((~patient(X)&tall(X)))))&
((?[X]:((humble(X)&generous(X))))<=>(~generous(mary)))&
(((patient(john)<... | curious(fred) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 386888129855400444235063
% SZS output start Proof for 386888129855400444235063
11. ! [X0] : (patient(X0) <=> (~humble(X0) | ~patient(X0))) [input p10]
16. ! [X0] : ((~calm(X0) | curious(X0)) <=> (~patient(X0) | humble(X0))) [input p15]
23. curious(fred) [input hypothesis]
61. ! [X0] : ((p... | 0 |
Everyone who is either not calm or quiet is both old and not brave. If someone is both strong and not humble then paul is both not creative and not old and vice versa. Everyone who is kind or not humble is not creative. Everyone who is either brave or humble is rich. Everyone who is not happy or not old is either not c... | Mary is not calm. | entailment | (![X]:((~calm(X)<~>quiet(X))=>(old(X)&~brave(X))))&
((?[X]:((strong(X)&~humble(X))))<=>((~creative(paul)&~old(paul))))&
(![X]:((kind(X)|~humble(X))=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((pat... | ~calm(mary) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4462245428238806242566180
% SZS output start Proof for 4462245428238806242566180
1. ! [X0] : ((~calm(X0) <~> quiet(X0)) => (~brave(X0) & old(X0))) [input p0]
16. ~old(mary) & quiet(mary) [input p15]
23. calm(mary) [input hypothesis]
25. ! [X0] : ((~brave(X0) & old(X0)) | (~calm(X0) <=> qu... | 0 |
Everyone who is happy is both old and not generous.
Everyone who is not funny is both curious and not humble and vice versa.
If lucy is either old or not calm then susan is either not quiet or calm.
If someone is old or not rich then someone is both not quiet and not tall.
If someone is both not patient and tall then f... | Alice is not old. | contradiction | (![X]:(happy(X)=>(old(X)&~generous(X))))&
(![X]:(~funny(X)<=>(curious(X)&~humble(X))))&
(((old(lucy)<~>~calm(lucy)))=>((~quiet(susan)<~>calm(susan))))&
((?[X]:((old(X)|~rich(X))))=>(?[X]:((~quiet(X)&~tall(X)))))&
((?[X]:((~patient(X)&tall(X))))=>((~generous(fred)|~wise(fred))))&
(![X]:(~patient(X)<=>(rich(X)<~>~patient... | ~old(alice) | [
"p1",
"p5",
"p7",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7503481078553391885492973
% SZS output start Proof for 7503481078553391885492973
2. ! [X0] : (~funny(X0) <=> (~humble(X0) & curious(X0))) [input p1]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~patient(X0))) [input p5]
8. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~old(X0) & tall(X0))) [inpu... | 0 |
If mary is both strong and not calm then alice is either not old or not strong and vice versa.
If someone is tall or funny then fred is not creative and vice versa.
If someone is either not tall or quiet then paul is both not wise and not patient.
If susan is humble or not rich then lucy is curious.
If mary is either n... | Lucy is generous. | neutral | (((strong(mary)&~calm(mary)))<=>((~old(alice)<~>~strong(alice))))&
((?[X]:((tall(X)|funny(X))))<=>(~creative(fred)))&
((?[X]:((~tall(X)<~>quiet(X))))=>((~wise(paul)&~patient(paul))))&
(((humble(susan)|~rich(susan)))=>(curious(lucy)))&
(((~patient(mary)<~>~humble(mary)))<=>(?[X]:(generous(X))))&
(![X]:((~funny(X)|~stron... | generous(lucy) | [] | null | 0 |
Everyone who is not strong or not patient is both strong and calm. If fred is either tall or happy then someone is either not strong or not calm and vice versa. Everyone who is humble or not wise is both not generous and funny. If paul is not quiet or not kind then someone is either tall or wise and vice versa. Everyon... | Susan is not tall. | neutral | (![X]:((~strong(X)|~patient(X))=>(strong(X)&calm(X))))&
(((tall(fred)<~>happy(fred)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:((humble(X)|~wise(X))=>(~generous(X)&funny(X))))&
(((~quiet(paul)|~kind(paul)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)<~>~generous(X))=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)... | ~tall(susan) | [] | null | 0 |
Everyone who is both funny and old is either not patient or patient and vice versa. If susan is generous or not humble then someone is either not old or creative and vice versa. If someone is brave then susan is both calm and wise and vice versa. Everyone who is either not calm or not funny is either tall or rich and v... | Susan is not strong. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)<~>patient(X))))&
(((generous(susan)|~humble(susan)))<=>(?[X]:((~old(X)<~>creative(X)))))&
((?[X]:(brave(X)))<=>((calm(susan)&wise(susan))))&
(![X]:((~calm(X)<~>~funny(X))<=>(tall(X)<~>rich(X))))&
(![X]:((~old(X)|funny(X))=>(~generous(X)&~happy(X))))&
(((generous(fred)|~funny(fred... | ~strong(susan) | [] | null | 0 |
Everyone who is not funny is either not funny or wise.
If lucy is either happy or humble then alice is not strong or not creative.
If someone is tall or creative then susan is both tall and not calm.
Everyone who is either not patient or not generous is not funny.
Everyone who is either kind or not old is not wise or h... | Lucy is old. | contradiction | (![X]:(~funny(X)=>(~funny(X)<~>wise(X))))&
(((happy(lucy)<~>humble(lucy)))=>((~strong(alice)|~creative(alice))))&
((?[X]:((tall(X)|creative(X))))=>((tall(susan)&~calm(susan))))&
(![X]:((~patient(X)<~>~generous(X))=>~funny(X)))&
(![X]:((kind(X)<~>~old(X))=>(~wise(X)|humble(X))))&
(![X]:((~funny(X)<~>~brave(X))<=>~tall(X... | old(lucy) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 142251227978549558666996
% SZS output start Proof for 142251227978549558666996
9. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p8]
11. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p10]
23. old(lucy) [input hypothesis]
44. ! [X0] : ((calm(X0) | humble(X0)) & (~humbl... | 0 |
Everyone who is either old or tall is both creative and brave and vice versa.
Everyone who is either kind or old is humble and vice versa.
Everyone who is either not creative or kind is not happy or not humble and vice versa.
Everyone who is not kind or creative is not humble or kind and vice versa.
Everyone who is eit... | Susan is quiet. | entailment | (![X]:((old(X)<~>tall(X))<=>(creative(X)&brave(X))))&
(![X]:((kind(X)<~>old(X))<=>humble(X)))&
(![X]:((~creative(X)<~>kind(X))<=>(~happy(X)|~humble(X))))&
(![X]:((~kind(X)|creative(X))<=>(~humble(X)|kind(X))))&
(![X]:((~happy(X)<~>tall(X))=>~happy(X)))&
((?[X]:((calm(X)|~kind(X))))=>(?[X]:((creative(X)<~>~strong(X)))))... | quiet(susan) | [
"p3",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2351196324310490080253922
% SZS output start Proof for 2351196324310490080253922
4. ! [X0] : ((creative(X0) | ~kind(X0)) <=> (kind(X0) | ~humble(X0))) [input p3]
8. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> (strong(X0) | patient(X0))) [input p7]
10. ! [X0] : (humble(X0) => (patient(X0) ... | 0 |
Everyone who is either not rich or not humble is either patient or not creative. Everyone who is both not strong and rich is not humble. Everyone who is calm is not patient or not strong. If someone is quiet or brave then susan is tall. Everyone who is patient or not patient is happy or humble and vice versa. Everyone ... | Mary is not quiet. | contradiction | (![X]:((~rich(X)<~>~humble(X))=>(patient(X)<~>~creative(X))))&
(![X]:((~strong(X)&rich(X))=>~humble(X)))&
(![X]:(calm(X)=>(~patient(X)|~strong(X))))&
((?[X]:((quiet(X)|brave(X))))=>(tall(susan)))&
(![X]:((patient(X)|~patient(X))<=>(happy(X)|humble(X))))&
(![X]:((~strong(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:... | ~quiet(mary) | [
"p5",
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1791116999434181196993117
% SZS output start Proof for 1791116999434181196993117
6. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (~strong(X0) | strong(X0))) [input p5]
8. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~brave(X0) | quiet(X0))) [input p7]
11. ! [X0] : (generous(X0) <=> (wise(X0) ... | 0 |
If john is not rich or not creative then someone is both tall and not wise and vice versa. If someone is both not patient and not kind then john is both generous and not happy. If paul is not calm then susan is not patient or not quiet and vice versa. If mary is patient then lucy is not humble. If someone is either not... | Lucy is not generous. | neutral | (((~rich(john)|~creative(john)))<=>(?[X]:((tall(X)&~wise(X)))))&
((?[X]:((~patient(X)&~kind(X))))=>((generous(john)&~happy(john))))&
((~calm(paul))<=>((~patient(susan)|~quiet(susan))))&
((patient(mary))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~kind(X))))=>((~creative(fred)&~old(fred))))&
(![X]:((tall(X)&curious(X))<=... | ~generous(lucy) | [] | null | 0 |
Everyone who is funny or not happy is either not curious or not old and vice versa.
If alice is both happy and not funny then someone is not quiet or not strong.
If someone is both not quiet and brave then paul is both tall and happy.
Everyone who is either old or quiet is kind or patient and vice versa.
Everyone who i... | Susan is not curious. | entailment | (![X]:((funny(X)|~happy(X))<=>(~curious(X)<~>~old(X))))&
(((happy(alice)&~funny(alice)))=>(?[X]:((~quiet(X)|~strong(X)))))&
((?[X]:((~quiet(X)&brave(X))))=>((tall(paul)&happy(paul))))&
(![X]:((old(X)<~>quiet(X))<=>(kind(X)|patient(X))))&
(![X]:(kind(X)<=>(calm(X)|~wise(X))))&
(((humble(susan)&funny(susan)))=>(?[X]:(qui... | ~curious(susan) | [
"p0",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7203373669049876126154876
% SZS output start Proof for 7203373669049876126154876
1. ! [X0] : ((~happy(X0) | funny(X0)) <=> (~curious(X0) <~> ~old(X0))) [input p0]
12. ! [X0] : (curious(X0) => (~old(X0) <~> curious(X0))) [input p11]
14. ! [X0] : ((happy(X0) | calm(X0)) => (~curious(X0) & ~... | 0 |
Everyone who is either funny or calm is creative and vice versa.
If someone is either brave or patient then someone is both patient and not humble.
If mary is kind then someone is either not brave or not quiet and vice versa.
Everyone who is not humble or curious is not wise or creative and vice versa.
Everyone who is ... | Paul is not patient. | contradiction | (![X]:((funny(X)<~>calm(X))<=>creative(X)))&
((?[X]:((brave(X)<~>patient(X))))=>(?[X]:((patient(X)&~humble(X)))))&
((kind(mary))<=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(![X]:((~humble(X)|curious(X))<=>(~wise(X)|creative(X))))&
(![X]:(~happy(X)=>(curious(X)|~brave(X))))&
(![X]:((~funny(X)|~wise(X))=>(~rich(X)|~funny(X))))... | ~patient(paul) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6001793093438024254375353
% SZS output start Proof for 6001793093438024254375353
1. ! [X0] : ((funny(X0) <~> calm(X0)) <=> creative(X0)) [input p0]
4. ! [X0] : ((curious(X0) | ~humble(X0)) <=> (creative(X0) | ~wise(X0))) [input p3]
7. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> (strong(X0) & ... | 0 |
Everyone who is patient or not creative is not patient or not funny. If paul is both not humble and not creative then someone is both patient and not wise and vice versa. If someone is not humble or not strong then fred is not wise or not kind and vice versa. If someone is either not kind or generous then lucy is eithe... | John is not humble. | neutral | (![X]:((patient(X)|~creative(X))=>(~patient(X)|~funny(X))))&
(((~humble(paul)&~creative(paul)))<=>(?[X]:((patient(X)&~wise(X)))))&
((?[X]:((~humble(X)|~strong(X))))<=>((~wise(fred)|~kind(fred))))&
((?[X]:((~kind(X)<~>generous(X))))<=>((~patient(lucy)<~>quiet(lucy))))&
(![X]:((~generous(X)|~kind(X))=>(~brave(X)<~>old(X)... | ~humble(john) | [] | null | 0 |
Everyone who is both not old and funny is tall and vice versa. Everyone who is wise is not calm or not funny and vice versa. If susan is kind then someone is not quiet or calm. If alice is either not strong or happy then someone is strong or not tall. If paul is calm then susan is not curious and vice versa. Everyone w... | Paul is tall. | neutral | (![X]:((~old(X)&funny(X))<=>tall(X)))&
(![X]:(wise(X)<=>(~calm(X)|~funny(X))))&
((kind(susan))=>(?[X]:((~quiet(X)|calm(X)))))&
(((~strong(alice)<~>happy(alice)))=>(?[X]:((strong(X)|~tall(X)))))&
((calm(paul))<=>(~curious(susan)))&
(![X]:((humble(X)&calm(X))=>(~old(X)|~kind(X))))&
(((~wise(lucy)&~curious(lucy)))<=>((~hu... | tall(paul) | [] | null | 0 |
Everyone who is quiet is either creative or not calm.
If susan is not wise or not kind then john is both not old and not quiet and vice versa.
If someone is both wise and strong then someone is both not brave and not quiet.
If someone is both not wise and not funny then mary is both tall and not old and vice versa.
Eve... | Paul is not funny. | neutral | (![X]:(quiet(X)=>(creative(X)<~>~calm(X))))&
(((~wise(susan)|~kind(susan)))<=>((~old(john)&~quiet(john))))&
((?[X]:((wise(X)&strong(X))))=>(?[X]:((~brave(X)&~quiet(X)))))&
((?[X]:((~wise(X)&~funny(X))))<=>((tall(mary)&~old(mary))))&
(![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))... | ~funny(paul) | [] | null | 0 |
If someone is not calm or humble then someone is either not strong or strong.
If susan is either not patient or funny then alice is not old and vice versa.
If fred is either not kind or happy then john is both calm and not kind and vice versa.
Everyone who is both not wise and not humble is both not strong and strong.
... | John is brave. | neutral | ((?[X]:((~calm(X)|humble(X))))=>(?[X]:((~strong(X)<~>strong(X)))))&
(((~patient(susan)<~>funny(susan)))<=>(~old(alice)))&
(((~kind(fred)<~>happy(fred)))<=>((calm(john)&~kind(john))))&
(![X]:((~wise(X)&~humble(X))=>(~strong(X)&strong(X))))&
(![X]:(curious(X)=>(~happy(X)&funny(X))))&
(![X]:((~funny(X)&tall(X))=>kind(X)))... | brave(john) | [] | null | 0 |
Everyone who is tall or not strong is both not quiet and strong and vice versa.
If fred is funny or happy then paul is either not humble or not happy.
If mary is happy or not generous then fred is not rich.
Everyone who is not quiet or funny is either patient or not rich.
If someone is both generous and brave then some... | Susan is not strong. | contradiction | (![X]:((tall(X)|~strong(X))<=>(~quiet(X)&strong(X))))&
(((funny(fred)|happy(fred)))=>((~humble(paul)<~>~happy(paul))))&
(((happy(mary)|~generous(mary)))=>(~rich(fred)))&
(![X]:((~quiet(X)|funny(X))=>(patient(X)<~>~rich(X))))&
((?[X]:((generous(X)&brave(X))))<=>(?[X]:((funny(X)&kind(X)))))&
(![X]:((curious(X)<~>~happy(X... | ~strong(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 676741298332888316875570
% SZS output start Proof for 676741298332888316875570
1. ! [X0] : ((~strong(X0) | tall(X0)) <=> (strong(X0) & ~quiet(X0))) [input p0]
24. ~strong(susan) [input hypothesis]
39. ! [X0] : (((~strong(X0) | tall(X0)) | (~strong(X0) | quiet(X0))) & ((strong(X0) & ~quiet... | 0 |
Everyone who is brave or humble is calm and vice versa.
If someone is not humble then alice is creative.
Everyone who is not humble is strong or kind.
If mary is both rich and not old then alice is both rich and old and vice versa.
If someone is both not tall and happy then someone is not old or tall.
If susan is not p... | Lucy is not old. | entailment | (![X]:((brave(X)|humble(X))<=>calm(X)))&
((?[X]:(~humble(X)))=>(creative(alice)))&
(![X]:(~humble(X)=>(strong(X)|kind(X))))&
(((rich(mary)&~old(mary)))<=>((rich(alice)&old(alice))))&
((?[X]:((~tall(X)&happy(X))))=>(?[X]:((~old(X)|tall(X)))))&
((~patient(susan))=>(?[X]:(~calm(X))))&
(![X]:(~generous(X)<=>(~kind(X)<~>fun... | ~old(lucy) | [
"p1",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 171029173207108116283764
% SZS output start Proof for 171029173207108116283764
2. ? [X0] : ~humble(X0) => creative(alice) [input p1]
8. ? [X0] : (creative(X0) | ~calm(X0)) <=> (calm(lucy) & ~calm(lucy)) [input p7]
11. ? [X0] : (strong(X0) & old(X0)) <=> (~humble(alice) & funny(alice)) [in... | 0 |
Everyone who is brave or not quiet is not patient or wise. Everyone who is both wise and funny is not generous and vice versa. Everyone who is both not calm and patient is both not creative and not old. Everyone who is both not creative and not wise is not quiet or creative. If someone is either happy or rich then paul... | Fred is not old. | entailment | (![X]:((brave(X)|~quiet(X))=>(~patient(X)|wise(X))))&
(![X]:((wise(X)&funny(X))<=>~generous(X)))&
(![X]:((~calm(X)&patient(X))=>(~creative(X)&~old(X))))&
(![X]:((~creative(X)&~wise(X))=>(~quiet(X)|creative(X))))&
((?[X]:((happy(X)<~>rich(X))))<=>((generous(paul)<~>creative(paul))))&
(![X]:((~creative(X)<~>~brave(X))=>(... | ~old(fred) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3893917443127283235721955
% SZS output start Proof for 3893917443127283235721955
1. ! [X0] : ((~quiet(X0) | brave(X0)) => (wise(X0) | ~patient(X0))) [input p0]
2. ! [X0] : ((funny(X0) & wise(X0)) <=> ~generous(X0)) [input p1]
3. ! [X0] : ((patient(X0) & ~calm(X0)) => (~old(X0) & ~creative... | 0 |
Everyone who is either not wise or kind is both kind and not brave and vice versa.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet or humble is not rich or patient and vice versa.
Everyone who is both not ... | Fred is not kind. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(kind(X)&~brave(X))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brav... | ~kind(fred) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 401104288631955911760393
% SZS output start Proof for 401104288631955911760393
1. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (~brave(X0) & kind(X0))) [input p0]
3. ! [X0] : ((strong(X0) & creative(X0)) <=> (patient(X0) | quiet(X0))) [input p2]
6. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (b... | 0 |
Everyone who is either not strong or generous is both not wise and happy and vice versa. Everyone who is both kind and brave is patient. Everyone who is either not tall or tall is both happy and rich. Everyone who is happy is not curious or quiet. If someone is either generous or not curious then lucy is either tall or... | Mary is not wise. | neutral | (![X]:((~strong(X)<~>generous(X))<=>(~wise(X)&happy(X))))&
(![X]:((kind(X)&brave(X))=>patient(X)))&
(![X]:((~tall(X)<~>tall(X))=>(happy(X)&rich(X))))&
(![X]:(happy(X)=>(~curious(X)|quiet(X))))&
((?[X]:((generous(X)<~>~curious(X))))=>((tall(lucy)<~>humble(lucy))))&
((?[X]:((~happy(X)|~curious(X))))<=>(?[X]:((happy(X)&~f... | ~wise(mary) | [] | null | 0 |
Everyone who is curious is either not generous or patient.
Everyone who is both not old and creative is tall and vice versa.
If mary is not curious or not quiet then susan is either not humble or not calm and vice versa.
If john is both not humble and not strong then someone is both patient and quiet and vice versa.
Ev... | Paul is not rich. | contradiction | (![X]:(curious(X)=>(~generous(X)<~>patient(X))))&
(![X]:((~old(X)&creative(X))<=>tall(X)))&
(((~curious(mary)|~quiet(mary)))<=>((~humble(susan)<~>~calm(susan))))&
(((~humble(john)&~strong(john)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:(humble(X)=>(happy(X)&~funny(X))))&
(![X]:((wise(X)&~tall(X))<=>(calm(X)<~>funny(X)... | ~rich(paul) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4654576168892080520380481
% SZS output start Proof for 4654576168892080520380481
4. (~strong(john) & ~humble(john)) <=> ? [X0] : (quiet(X0) & patient(X0)) [input p3]
5. ! [X0] : (humble(X0) => (~funny(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~tall(X0) & wise(X0)) <=> (calm(X0) <~> funny... | 0 |
Everyone who is not patient is either happy or not tall.
If paul is old or curious then mary is wise or kind and vice versa.
If someone is not creative or brave then alice is both not quiet and tall.
Everyone who is either happy or brave is either kind or not happy and vice versa.
If someone is generous then someone is... | Mary is funny. | neutral | (![X]:(~patient(X)=>(happy(X)<~>~tall(X))))&
(((old(paul)|curious(paul)))<=>((wise(mary)|kind(mary))))&
((?[X]:((~creative(X)|brave(X))))=>((~quiet(alice)&tall(alice))))&
(![X]:((happy(X)<~>brave(X))<=>(kind(X)<~>~happy(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X... | funny(mary) | [] | null | 0 |
Everyone who is both curious and not quiet is either brave or calm and vice versa.
If someone is both calm and not wise then someone is patient or calm and vice versa.
If someone is either not happy or quiet then mary is both not patient and not calm and vice versa.
If paul is both creative and not rich then mary is no... | Paul is not generous. | entailment | (![X]:((curious(X)&~quiet(X))<=>(brave(X)<~>calm(X))))&
((?[X]:((calm(X)&~wise(X))))<=>(?[X]:((patient(X)|calm(X)))))&
((?[X]:((~happy(X)<~>quiet(X))))<=>((~patient(mary)&~calm(mary))))&
(((creative(paul)&~rich(paul)))=>((~tall(mary)|creative(mary))))&
(![X]:((~old(X)|funny(X))=>(old(X)<~>~patient(X))))&
((~wise(john))... | ~generous(paul) | [
"p1",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1934595498502117731498178
% SZS output start Proof for 1934595498502117731498178
2. ? [X0] : (~wise(X0) & calm(X0)) <=> ? [X0] : (calm(X0) | patient(X0)) [input p1]
5. ! [X0] : ((funny(X0) | ~old(X0)) => (old(X0) <~> ~patient(X0))) [input p4]
7. ! [X0] : (~calm(X0) <=> (~wise(X0) | creati... | 0 |
Everyone who is both not tall and not old is either strong or patient.
Everyone who is either quiet or not tall is not creative and vice versa.
Everyone who is both not rich and rich is not generous or not curious.
If someone is both not funny and not quiet then someone is both not humble and not patient.
Everyone who ... | Alice is not tall. | contradiction | (![X]:((~tall(X)&~old(X))=>(strong(X)<~>patient(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((~rich(X)&rich(X))=>(~generous(X)|~curious(X))))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((~quiet(X)&~funny(X))=>(~generous(X)&~curious(X))))&
(![X]:((~brave(X)&tall(X))<=>(ge... | ~tall(alice) | [
"p8",
"p10",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5254628923301542073460097
% SZS output start Proof for 5254628923301542073460097
9. (~calm(alice) & kind(alice)) <=> ? [X0] : (~generous(X0) | kind(X0)) [input p8]
11. ! [X0] : ((~funny(X0) | patient(X0)) => (~rich(X0) | ~generous(X0))) [input p10]
12. ! [X0] : ((funny(X0) | brave(X0)) =>... | 0 |
If paul is brave or not tall then someone is brave or happy. Everyone who is not curious is patient and vice versa. Everyone who is not generous is curious and vice versa. Everyone who is not strong or old is both funny and not tall. Everyone who is not creative or not brave is both tall and curious and vice versa. Eve... | Paul is not quiet. | neutral | (((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((~generous(X)|f... | ~quiet(paul) | [] | null | 0 |
Everyone who is not quiet is either not quiet or calm.
Everyone who is not creative or brave is either happy or not happy and vice versa.
If someone is not brave or rich then fred is strong and vice versa.
Everyone who is kind or not quiet is either rich or curious and vice versa.
If fred is either tall or strong then ... | Alice is rich. | neutral | (![X]:(~quiet(X)=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((~brave(X)|rich(X))))<=>(strong(fred)))&
(![X]:((kind(X)|~quiet(X))<=>(rich(X)<~>curious(X))))&
(((tall(fred)<~>strong(fred)))=>(?[X]:((rich(X)&humble(X)))))&
(![X]:((patient(X)&~rich(X))<=>(generous(X)|~calm(X... | rich(alice) | [] | null | 0 |
Everyone who is either not happy or strong is either not happy or happy and vice versa.
Everyone who is either not kind or not creative is both not tall and funny and vice versa.
Everyone who is not humble or not calm is both old and calm.
Everyone who is either strong or not patient is not patient or not kind.
Everyon... | Fred is kind. | entailment | (![X]:((~happy(X)<~>strong(X))<=>(~happy(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(~tall(X)&funny(X))))&
(![X]:((~humble(X)|~calm(X))=>(old(X)&calm(X))))&
(![X]:((strong(X)<~>~patient(X))=>(~patient(X)|~kind(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(~patient(X)&~wise(X))))&
((old(mary))=>(?[X]:((~rich(X)<~>~b... | kind(fred) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6906880626468668941213480
% SZS output start Proof for 6906880626468668941213480
3. ! [X0] : ((~calm(X0) | ~humble(X0)) => (calm(X0) & old(X0))) [input p2]
12. ? [X0] : ~quiet(X0) => (curious(john) & ~calm(john)) [input p11]
15. ! [X0] : (~kind(X0) <=> ~quiet(X0)) [input p14]
23. ~kind(fr... | 0 |
If someone is not humble or not quiet then someone is not strong and vice versa.
Everyone who is either brave or quiet is creative or brave and vice versa.
If susan is not creative then fred is both not curious and quiet and vice versa.
Everyone who is both not quiet and not rich is both not humble and quiet and vice v... | Lucy is kind. | contradiction | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>quiet(X))<=>(creative(X)|brave(X))))&
((~creative(susan))<=>((~curious(fred)&quiet(fred))))&
(![X]:((~quiet(X)&~rich(X))<=>(~humble(X)&quiet(X))))&
((calm(mary))<=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>quiet(X))=>(~humble(X)|gen... | kind(lucy) | [
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7585311308459384656287072
% SZS output start Proof for 7585311308459384656287072
19. old(lucy) <~> ~kind(lucy) [input p18]
22. ~old(lucy) [input p21]
25. kind(lucy) [input hypothesis]
79. (kind(lucy) | ~old(lucy)) & (~kind(lucy) | old(lucy)) [nnf transformation 19]
131. ~kind(lucy) | old(... | 0 |
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