premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not curious and not brave then someone is tall or not humble.
Everyone who is both quiet and not funny is not kind.
Everyone who is either creative or not quiet is curious.
If mary is both not strong and not rich then someone is generous.
Everyone who is not curious or happy is not curious.
Everyone ... | Paul is tall. | contradiction | ((?[X]:((~curious(X)&~brave(X))))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((quiet(X)&~funny(X))=>~kind(X)))&
(![X]:((creative(X)<~>~quiet(X))=>curious(X)))&
(((~strong(mary)&~rich(mary)))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|happy(X))=>~curious(X)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((happy(X)&~creative(X)... | tall(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7953666818204858263359714
% SZS output start Proof for 7953666818204858263359714
9. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> ~brave(X0)) [input p8]
14. ! [X0] : (~curious(X0) <=> tall(X0)) [input p13]
23. tall(paul) [input hypothesis]
44. ! [X0] : ((((curious(X0) | brave(X0)) & (~curio... | 0 |
If someone is both not tall and strong then someone is both creative and tall.
If fred is not strong or not calm then paul is either not humble or strong and vice versa.
Everyone who is either not generous or old is both happy and not funny and vice versa.
Everyone who is not curious is both not generous and not quiet ... | Fred is not brave. | neutral | ((?[X]:((~tall(X)&strong(X))))=>(?[X]:((creative(X)&tall(X)))))&
(((~strong(fred)|~calm(fred)))<=>((~humble(paul)<~>strong(paul))))&
(![X]:((~generous(X)<~>old(X))<=>(happy(X)&~funny(X))))&
(![X]:(~curious(X)<=>(~generous(X)&~quiet(X))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~rich(X)&pat... | ~brave(fred) | [] | null | 0 |
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not strong and vice versa.
Everyone who is not funny is funny or not humble and vice versa.... | John is not funny. | entailment | (![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|~humble(john)))<=>((funny(paul)<~>~rich(paul))))&
(![X]:((wise(X)<~>~... | ~funny(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 661547195036776237229343
% SZS output start Proof for 661547195036776237229343
5. ! [X0] : (~funny(X0) <=> (~humble(X0) | funny(X0))) [input p4]
23. funny(john) [input hypothesis]
42. ! [X0] : ((~funny(X0) | (humble(X0) & ~funny(X0))) & ((~humble(X0) | funny(X0)) | funny(X0))) [nnf transf... | 0 |
If lucy is either calm or not patient then fred is both humble and strong.
If someone is both rich and old then someone is both brave and quiet and vice versa.
Everyone who is either kind or not tall is either generous or old and vice versa.
Everyone who is either funny or not rich is both not wise and not calm.
Everyo... | Lucy is funny. | contradiction | (((calm(lucy)<~>~patient(lucy)))=>((humble(fred)&strong(fred))))&
((?[X]:((rich(X)&old(X))))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((kind(X)<~>~tall(X))<=>(generous(X)<~>old(X))))&
(![X]:((funny(X)<~>~rich(X))=>(~wise(X)&~calm(X))))&
(![X]:((creative(X)|old(X))=>(~creative(X)&~brave(X))))&
(![X]:((patient(X)&kind(X))=... | funny(lucy) | [
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 277142854359155066637216
% SZS output start Proof for 277142854359155066637216
7. ! [X0] : (rich(X0) => (~brave(X0) & ~rich(X0))) [input p6]
15. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (rich(X0) & ~creative(X0))) [input p14]
16. ! [X0] : (~rich(X0) <=> generous(X0)) [input p15]
23. fu... | 0 |
Everyone who is humble or not tall is either happy or not tall. If someone is not old or funny then someone is brave or patient and vice versa. Everyone who is not old or not wise is either generous or brave and vice versa. Everyone who is either kind or generous is not funny or not kind. Everyone who is patient or bra... | Mary is happy. | contradiction | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((~old(X)|~wise(X))<=>(generous(X)<~>brave(X))))&
(![X]:((kind(X)<~>generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~... | happy(mary) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8849486219320241035459151
% SZS output start Proof for 8849486219320241035459151
16. ! [X0] : ((~wise(X0) & humble(X0)) <=> happy(X0)) [input p15]
17. wise(mary) | ~humble(mary) [input p16]
25. happy(mary) [input hypothesis]
67. ! [X0] : (((~wise(X0) & humble(X0)) | ~happy(X0)) & (happy(X... | 0 |
If alice is either not brave or not patient then alice is both not wise and not creative and vice versa.
Everyone who is not wise or curious is either not old or kind.
If someone is not generous then someone is not curious or old.
Everyone who is not creative is humble and vice versa.
Everyone who is both not quiet and... | Mary is quiet. | entailment | (((~brave(alice)<~>~patient(alice)))<=>((~wise(alice)&~creative(alice))))&
(![X]:((~wise(X)|curious(X))=>(~old(X)<~>kind(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~curious(X)|old(X)))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:((~quiet(X)&~rich(X))=>(strong(X)|rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
((?[X]:(... | quiet(mary) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8845731448346202812861395
% SZS output start Proof for 8845731448346202812861395
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
5. ! [X0] : ((~rich(X0) & ~quiet(X0)) => (rich(X0) | strong(X0))) [input p4]
7. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0... | 0 |
Everyone who is brave is calm or not curious and vice versa.
Everyone who is not old or not kind is not old or wise.
Everyone who is either strong or not old is not funny.
If mary is either not rich or calm then mary is happy.
If fred is both not happy and kind then someone is both not humble and not old and vice versa... | Paul is not patient. | contradiction | (![X]:(brave(X)<=>(calm(X)|~curious(X))))&
(![X]:((~old(X)|~kind(X))=>(~old(X)|wise(X))))&
(![X]:((strong(X)<~>~old(X))=>~funny(X)))&
(((~rich(mary)<~>calm(mary)))=>(happy(mary)))&
(((~happy(fred)&kind(fred)))<=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:(curious(X)=>(humble(X)<~>calm(X))))&
(![X]:(~generous(X)=>calm(X)))&
... | ~patient(paul) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1573962589652579382689816
% SZS output start Proof for 1573962589652579382689816
15. ! [X0] : ((~patient(X0) | kind(X0)) <=> (old(X0) <~> ~patient(X0))) [input p14]
16. ! [X0] : (~old(X0) => (~strong(X0) & strong(X0))) [input p15]
23. ~patient(paul) [input hypothesis]
37. ! [X0] : ((~stro... | 0 |
Everyone who is not patient is either tall or not generous. Everyone who is curious is not old. If paul is not kind then someone is both not creative and creative and vice versa. If lucy is not quiet or not funny then someone is not happy or not calm and vice versa. Everyone who is not creative is not old or not funny ... | Alice is not creative. | entailment | (![X]:(~patient(X)=>(tall(X)<~>~generous(X))))&
(![X]:(curious(X)=>~old(X)))&
((~kind(paul))<=>(?[X]:((~creative(X)&creative(X)))))&
(((~quiet(lucy)|~funny(lucy)))<=>(?[X]:((~happy(X)|~calm(X)))))&
(![X]:(~creative(X)<=>(~old(X)|~funny(X))))&
((?[X]:((~calm(X)<~>calm(X))))<=>(~generous(paul)))&
(![X]:((~brave(X)<~>wise... | ~creative(alice) | [
"p1",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5584607857840471024452991
% SZS output start Proof for 5584607857840471024452991
2. ! [X0] : (curious(X0) => ~old(X0)) [input p1]
5. ! [X0] : (~creative(X0) <=> (~funny(X0) | ~old(X0))) [input p4]
16. ! [X0] : ((~curious(X0) <~> ~quiet(X0)) <=> (~quiet(X0) & funny(X0))) [input p15]
23. cr... | 0 |
If someone is both not patient and curious then lucy is kind or not calm.
Everyone who is not generous is curious.
Everyone who is both not curious and not tall is either not old or not strong.
Everyone who is not kind is both not quiet and not rich.
If paul is not quiet or patient then john is not creative or happy an... | Lucy is brave. | neutral | ((?[X]:((~patient(X)&curious(X))))=>((kind(lucy)|~calm(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:((~curious(X)&~tall(X))=>(~old(X)<~>~strong(X))))&
(![X]:(~kind(X)=>(~quiet(X)&~rich(X))))&
(((~quiet(paul)|patient(paul)))<=>((~creative(john)|happy(john))))&
(![X]:((~tall(X)|wise(X))=>(~happy(X)<~>humble(X))))&
... | brave(lucy) | [] | null | 0 |
If someone is curious then someone is not brave.
Everyone who is either not generous or curious is both not old and rich.
If someone is both not calm and kind then paul is not tall and vice versa.
If susan is both not curious and not calm then susan is not humble and vice versa.
If someone is happy or not creative then... | Mary is not rich. | contradiction | ((?[X]:(curious(X)))=>(?[X]:(~brave(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~old(X)&rich(X))))&
((?[X]:((~calm(X)&kind(X))))<=>(~tall(paul)))&
(((~curious(susan)&~calm(susan)))<=>(~humble(susan)))&
((?[X]:((happy(X)|~creative(X))))<=>((~curious(alice)|generous(alice))))&
(![X]:(rich(X)<=>(~brave(X)|creative(X))))&
... | ~rich(mary) | [
"p1",
"p5",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 26961005514383152849405
% SZS output start Proof for 26961005514383152849405
2. ! [X0] : ((~generous(X0) <~> curious(X0)) => (rich(X0) & ~old(X0))) [input p1]
6. ! [X0] : (rich(X0) <=> (creative(X0) | ~brave(X0))) [input p5]
12. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~tall(X0) & curious... | 0 |
If someone is either quiet or not wise then someone is either happy or not brave and vice versa.
Everyone who is not kind is generous.
Everyone who is either old or funny is not generous or tall.
If someone is either not tall or kind then someone is not curious and vice versa.
Everyone who is both strong and not brave ... | Susan is not brave. | neutral | ((?[X]:((quiet(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~brave(X)))))&
(![X]:(~kind(X)=>generous(X)))&
(![X]:((old(X)<~>funny(X))=>(~generous(X)|tall(X))))&
((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:(~curious(X))))&
(![X]:((strong(X)&~brave(X))=>(~happy(X)&~patient(X))))&
(((~rich(john)<~>creative(john)))=>(?[X]:((kind(X)<~>... | ~brave(susan) | [] | null | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is not curious is kind or pa... | Susan is not wise. | contradiction | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~curious(X)=>(kind(X)|patient(X))))&
(((~strong(fred)&~creative(fred)))=>(?[X]:((~calm(X)|~wise(X)))))&
(![X]:((curi... | ~wise(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6688650779212372307551162
% SZS output start Proof for 6688650779212372307551162
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
23. ~wise(susan) [input hypothesis]
37. ! [X0] : (((strong(X0) | ~strong(X0)) | (~rich(X0) | ~wise(X0))) & ((rich(X0) & wise(X0)) ... | 0 |
If someone is not creative or kind then john is either rich or not curious and vice versa. If someone is rich or not patient then someone is both not happy and not old. Everyone who is patient is either patient or kind. Everyone who is either creative or wise is not tall. Everyone who is both generous and strong is not... | Mary is not strong. | neutral | ((?[X]:((~creative(X)|kind(X))))<=>((rich(john)<~>~curious(john))))&
((?[X]:((rich(X)|~patient(X))))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:(patient(X)=>(patient(X)<~>kind(X))))&
(![X]:((creative(X)<~>wise(X))=>~tall(X)))&
(![X]:((generous(X)&strong(X))=>~quiet(X)))&
(((~funny(john)&happy(john)))<=>((~wise(fred)&~creati... | ~strong(mary) | [] | null | 0 |
If paul is not creative then lucy is either tall or not rich.
Everyone who is either funny or tall is not calm or not creative and vice versa.
Everyone who is not humble or not curious is not kind or not brave and vice versa.
Everyone who is either not calm or wise is not calm or happy and vice versa.
Everyone who is n... | John is brave. | entailment | ((~creative(paul))=>((tall(lucy)<~>~rich(lucy))))&
(![X]:((funny(X)<~>tall(X))<=>(~calm(X)|~creative(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~calm(X)|happy(X))))&
(![X]:((~kind(X)|~calm(X))=>(creative(X)<~>kind(X))))&
(((generous(susan)|~curious(susan)))=>(kind(al... | brave(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3515355253633047438929028
% SZS output start Proof for 3515355253633047438929028
21. strong(john) & brave(john) [input p20]
25. ~brave(john) [input hypothesis]
131. brave(john) [cnf transformation 21]
136. ~brave(john) [cnf transformation 25]
243. 24 <=> brave(john) [avatar definition]
25... | 0 |
Everyone who is both generous and calm is either not humble or curious.
Everyone who is either not generous or tall is generous and vice versa.
If john is not old then someone is either not patient or not generous and vice versa.
If someone is both not strong and not tall then paul is either wise or funny and vice vers... | Fred is rich. | neutral | (![X]:((generous(X)&calm(X))=>(~humble(X)<~>curious(X))))&
(![X]:((~generous(X)<~>tall(X))<=>generous(X)))&
((~old(john))<=>(?[X]:((~patient(X)<~>~generous(X)))))&
((?[X]:((~strong(X)&~tall(X))))<=>((wise(paul)<~>funny(paul))))&
(![X]:((curious(X)&~happy(X))=>(brave(X)<~>creative(X))))&
(![X]:((funny(X)|brave(X))<=>~wi... | rich(fred) | [] | null | 0 |
Everyone who is both happy and not generous is both quiet and humble and vice versa.
If alice is either creative or brave then mary is both wise and funny.
If john is old then alice is both happy and calm.
If alice is either not wise or generous then susan is calm or wise.
If john is funny then someone is strong and vi... | Alice is rich. | neutral | (![X]:((happy(X)&~generous(X))<=>(quiet(X)&humble(X))))&
(((creative(alice)<~>brave(alice)))=>((wise(mary)&funny(mary))))&
((old(john))=>((happy(alice)&calm(alice))))&
(((~wise(alice)<~>generous(alice)))=>((calm(susan)|wise(susan))))&
((funny(john))<=>(?[X]:(strong(X))))&
(![X]:((old(X)|funny(X))=>(~wise(X)&~strong(X))... | rich(alice) | [] | null | 0 |
Everyone who is creative or not happy is rich.
Everyone who is not quiet is wise.
If john is generous or not rich then mary is either quiet or patient.
If someone is not quiet or strong then john is old or not wise.
If someone is quiet or patient then paul is not humble and vice versa.
If someone is both humble and hap... | Susan is not curious. | contradiction | (![X]:((creative(X)|~happy(X))=>rich(X)))&
(![X]:(~quiet(X)=>wise(X)))&
(((generous(john)|~rich(john)))=>((quiet(mary)<~>patient(mary))))&
((?[X]:((~quiet(X)|strong(X))))=>((old(john)|~wise(john))))&
((?[X]:((quiet(X)|patient(X))))<=>(~humble(paul)))&
((?[X]:((humble(X)&happy(X))))<=>(?[X]:((curious(X)&~patient(X)))))&... | ~curious(susan) | [
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9039279345339530765557578
% SZS output start Proof for 9039279345339530765557578
11. ! [X0] : (~curious(X0) <=> (~strong(X0) & calm(X0))) [input p10]
12. ! [X0] : ((creative(X0) | calm(X0)) => (strong(X0) | quiet(X0))) [input p11]
14. ! [X0] : ((humble(X0) | quiet(X0)) <=> (~tall(X0) & ~c... | 0 |
Everyone who is both not patient and curious is patient and vice versa. Everyone who is both tall and not calm is both not rich and not wise and vice versa. If someone is either not generous or not funny then paul is strong or generous. If someone is strong or funny then someone is both curious and brave. If mary is no... | Paul is not creative. | neutral | (![X]:((~patient(X)&curious(X))<=>patient(X)))&
(![X]:((tall(X)&~calm(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~generous(X)<~>~funny(X))))=>((strong(paul)|generous(paul))))&
((?[X]:((strong(X)|funny(X))))=>(?[X]:((curious(X)&brave(X)))))&
((~kind(mary))=>((~happy(paul)<~>brave(paul))))&
((?[X]:((wise(X)<~>kind(X))))=>(cal... | ~creative(paul) | [] | null | 0 |
Everyone who is both not rich and creative is either not tall or not humble and vice versa.
If susan is both not brave and not curious then someone is humble and vice versa.
If alice is either not creative or quiet then paul is both calm and humble.
Everyone who is not rich or not funny is either not kind or not old.
I... | Alice is quiet. | contradiction | (![X]:((~rich(X)&creative(X))<=>(~tall(X)<~>~humble(X))))&
(((~brave(susan)&~curious(susan)))<=>(?[X]:(humble(X))))&
(((~creative(alice)<~>quiet(alice)))=>((calm(paul)&humble(paul))))&
(![X]:((~rich(X)|~funny(X))=>(~kind(X)<~>~old(X))))&
(((~old(john)|quiet(john)))<=>((~happy(alice)<~>~calm(alice))))&
((?[X]:((brave(X)... | quiet(alice) | [
"p0",
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1503873093692053103351504
% SZS output start Proof for 1503873093692053103351504
1. ! [X0] : ((creative(X0) & ~rich(X0)) <=> (~tall(X0) <~> ~humble(X0))) [input p0]
3. (~creative(alice) <~> quiet(alice)) => (humble(paul) & calm(paul)) [input p2]
9. ! [X0] : ((~humble(X0) & tall(X0)) <=> (... | 0 |
If paul is not curious then someone is quiet or tall and vice versa.
If lucy is either wise or calm then paul is quiet and vice versa.
If susan is not wise then someone is not happy or patient and vice versa.
Everyone who is not strong or brave is generous or curious.
If someone is both not generous and creative then m... | Lucy is not happy. | contradiction | ((~curious(paul))<=>(?[X]:((quiet(X)|tall(X)))))&
(((wise(lucy)<~>calm(lucy)))<=>(quiet(paul)))&
((~wise(susan))<=>(?[X]:((~happy(X)|patient(X)))))&
(![X]:((~strong(X)|brave(X))=>(generous(X)|curious(X))))&
((?[X]:((~generous(X)&creative(X))))=>((~strong(mary)&~curious(mary))))&
((~funny(paul))<=>(?[X]:(calm(X))))&
(![... | ~happy(lucy) | [
"p0",
"p1",
"p12",
"p13",
"p14",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7250385722364686739264927
% SZS output start Proof for 7250385722364686739264927
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 |
Everyone who is both quiet and wise is both not funny and quiet. If susan is not brave or humble then someone is not wise or happy. Everyone who is either not creative or kind is either funny or not kind and vice versa. If john is both not kind and not happy then paul is quiet. Everyone who is strong is creative or pat... | Fred is not curious. | neutral | (![X]:((quiet(X)&wise(X))=>(~funny(X)&quiet(X))))&
(((~brave(susan)|humble(susan)))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:((~creative(X)<~>kind(X))<=>(funny(X)<~>~kind(X))))&
(((~kind(john)&~happy(john)))=>(quiet(paul)))&
(![X]:(strong(X)<=>(creative(X)|patient(X))))&
(![X]:((~calm(X)&~old(X))<=>(patient(X)&~quiet(X)))... | ~curious(fred) | [] | null | 0 |
Everyone who is either not kind or not patient is both not happy and patient. If susan is both not funny and old then paul is either brave or not kind. Everyone who is both not wise and patient is either not patient or creative. Everyone who is both not patient and not calm is both not calm and not wise. If someone is ... | Lucy is curious. | entailment | (![X]:((~kind(X)<~>~patient(X))=>(~happy(X)&patient(X))))&
(((~funny(susan)&old(susan)))=>((brave(paul)<~>~kind(paul))))&
(![X]:((~wise(X)&patient(X))=>(~patient(X)<~>creative(X))))&
(![X]:((~patient(X)&~calm(X))=>(~calm(X)&~wise(X))))&
((?[X]:((quiet(X)|~happy(X))))=>(?[X]:(~calm(X))))&
(((tall(susan)|~funny(susan)))<... | curious(lucy) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3525541400986879976353218
% SZS output start Proof for 3525541400986879976353218
16. ! [X0] : ((~quiet(X0) | curious(X0)) <=> (curious(X0) & calm(X0))) [input p15]
21. ~quiet(lucy) [input p20]
25. ~curious(lucy) [input hypothesis]
75. ! [X0] : (((~quiet(X0) | curious(X0)) | (~curious(X0) ... | 0 |
Everyone who is both not rich and brave is both not funny and not old and vice versa.
Everyone who is either not brave or rich is not brave.
If someone is either quiet or not calm then someone is both brave and not old and vice versa.
If lucy is either strong or tall then someone is strong and vice versa.
Everyone who ... | Fred is not tall. | entailment | (![X]:((~rich(X)&brave(X))<=>(~funny(X)&~old(X))))&
(![X]:((~brave(X)<~>rich(X))=>~brave(X)))&
((?[X]:((quiet(X)<~>~calm(X))))<=>(?[X]:((brave(X)&~old(X)))))&
(((strong(lucy)<~>tall(lucy)))<=>(?[X]:(strong(X))))&
(![X]:((~creative(X)&~happy(X))<=>(tall(X)<~>strong(X))))&
((humble(mary))<=>((patient(mary)&~funny(mary)))... | ~tall(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8289264514392064025693304
% SZS output start Proof for 8289264514392064025693304
24. generous(fred) & ~tall(fred) [input p23]
25. tall(fred) [input hypothesis]
133. ~tall(fred) [cnf transformation 24]
135. tall(fred) [cnf transformation 25]
314. $false [subsumption resolution 135,133]
% S... | 0 |
Everyone who is both not patient and not creative is kind and vice versa. Everyone who is not humble is either not patient or not happy and vice versa. If fred is both brave and curious then susan is not funny and vice versa. If john is both not creative and humble then susan is either wise or calm and vice versa. If s... | Fred is generous. | entailment | (![X]:((~patient(X)&~creative(X))<=>kind(X)))&
(![X]:(~humble(X)<=>(~patient(X)<~>~happy(X))))&
(((brave(fred)&curious(fred)))<=>(~funny(susan)))&
(((~creative(john)&humble(john)))<=>((wise(susan)<~>calm(susan))))&
((?[X]:(kind(X)))=>(?[X]:((wise(X)|patient(X)))))&
(![X]:((~humble(X)&rich(X))<=>(~patient(X)|humble(X)))... | generous(fred) | [
"p0",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8043489246238423575569822
% SZS output start Proof for 8043489246238423575569822
1. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> kind(X0)) [input p0]
6. ! [X0] : ((rich(X0) & ~humble(X0)) <=> (humble(X0) | ~patient(X0))) [input p5]
9. ! [X0] : (patient(X0) <=> (~humble(X0) | ~brave(X0))) ... | 0 |
If susan is both quiet and not quiet then someone is both not kind and kind and vice versa.
If john is either rich or not strong then someone is both happy and not humble.
Everyone who is brave or not quiet is not funny and vice versa.
Everyone who is strong or curious is either not humble or brave and vice versa.
Ever... | Mary is creative. | contradiction | (((quiet(susan)&~quiet(susan)))<=>(?[X]:((~kind(X)&kind(X)))))&
(((rich(john)<~>~strong(john)))=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:((brave(X)|~quiet(X))<=>~funny(X)))&
(![X]:((strong(X)|curious(X))<=>(~humble(X)<~>brave(X))))&
(![X]:(~happy(X)=>(~tall(X)&wise(X))))&
(((~old(paul)|~funny(paul)))<=>(quiet(alice)))&
... | creative(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 448460239770923053825138
% SZS output start Proof for 448460239770923053825138
21. ~creative(mary) & ~generous(mary) [input p20]
25. creative(mary) [input hypothesis]
151. ~creative(mary) [cnf transformation 21]
157. creative(mary) [cnf transformation 25]
333. $false [subsumption resoluti... | 0 |
If fred is not curious or not brave then someone is not curious or not rich and vice versa.
If alice is both not strong and strong then alice is strong.
If someone is either humble or not curious then paul is both creative and not curious and vice versa.
Everyone who is not happy or not funny is both not old and not st... | Alice is kind. | neutral | (((~curious(fred)|~brave(fred)))<=>(?[X]:((~curious(X)|~rich(X)))))&
(((~strong(alice)&strong(alice)))=>(strong(alice)))&
((?[X]:((humble(X)<~>~curious(X))))<=>((creative(paul)&~curious(paul))))&
(![X]:((~happy(X)|~funny(X))=>(~old(X)&~strong(X))))&
(![X]:((quiet(X)<~>wise(X))<=>(strong(X)<~>~kind(X))))&
(![X]:(~creati... | kind(alice) | [] | null | 0 |
Everyone who is both not brave and not curious is both rich and funny. Everyone who is not old is either not brave or generous and vice versa. If lucy is not kind then someone is either not brave or not strong. Everyone who is both not wise and tall is humble and vice versa. If someone is rich then fred is both generou... | Lucy is kind. | contradiction | (![X]:((~brave(X)&~curious(X))=>(rich(X)&funny(X))))&
(![X]:(~old(X)<=>(~brave(X)<~>generous(X))))&
((~kind(lucy))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((~wise(X)&tall(X))<=>humble(X)))&
((?[X]:(rich(X)))=>((generous(fred)&curious(fred))))&
(![X]:(generous(X)<=>~humble(X)))&
(![X]:((calm(X)&~calm(X))=>(old(X)<~>p... | kind(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5905916642176622038974067
% SZS output start Proof for 5905916642176622038974067
1. ! [X0] : ((~curious(X0) & ~brave(X0)) => (funny(X0) & rich(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (~brave(X0) <~> generous(X0))) [input p1]
4. ! [X0] : ((tall(X0) & ~wise(X0)) <=> humble(X0)) [input p3... | 0 |
If someone is either not funny or funny then someone is both quiet and not strong and vice versa.
Everyone who is not rich or not wise is either not tall or generous and vice versa.
Everyone who is either humble or not humble is old and vice versa.
If someone is both generous and strong then someone is either not gener... | Paul is rich. | entailment | ((?[X]:((~funny(X)<~>funny(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
(![X]:((~rich(X)|~wise(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((humble(X)<~>~humble(X))<=>old(X)))&
((?[X]:((generous(X)&strong(X))))<=>(?[X]:((~generous(X)<~>~wise(X)))))&
((?[X]:((humble(X)|~creative(X))))<=>(~tall(alice)))&
((?[X]:(funny(X)))<=>(?[... | rich(paul) | [
"p1",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4690597484189498947837642
% SZS output start Proof for 4690597484189498947837642
2. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (~tall(X0) <~> generous(X0))) [input p1]
10. ! [X0] : ((~rich(X0) | patient(X0)) => creative(X0)) [input p9]
14. ! [X0] : ((tall(X0) <~> happy(X0)) => (~creative(X0) <... | 0 |
If someone is either not kind or humble then john is curious.
Everyone who is not creative is either not calm or old.
Everyone who is generous is both happy and not kind and vice versa.
If someone is creative or not calm then someone is either not rich or not strong.
Everyone who is both not kind and tall is both not f... | Paul is not happy. | neutral | ((?[X]:((~kind(X)<~>humble(X))))=>(curious(john)))&
(![X]:(~creative(X)=>(~calm(X)<~>old(X))))&
(![X]:(generous(X)<=>(happy(X)&~kind(X))))&
((?[X]:((creative(X)|~calm(X))))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((~kind(X)&tall(X))=>(~funny(X)&~kind(X))))&
((~strong(john))=>((~patient(fred)&curious(fred))))&
(![X]:(... | ~happy(paul) | [] | null | 0 |
If someone is strong then someone is not humble or brave and vice versa.
Everyone who is calm is not brave.
Everyone who is patient or tall is creative.
Everyone who is not tall or not strong is both not funny and happy and vice versa.
Everyone who is both not old and not brave is both brave and creative.
Everyone who ... | John is not brave. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((~humble(X)|brave(X)))))&
(![X]:(calm(X)=>~brave(X)))&
(![X]:((patient(X)|tall(X))=>creative(X)))&
(![X]:((~tall(X)|~strong(X))<=>(~funny(X)&happy(X))))&
(![X]:((~old(X)&~brave(X))=>(brave(X)&creative(X))))&
(![X]:(generous(X)=>(~funny(X)&generous(X))))&
((strong(fred))=>(?[X]:(calm(X))))&
... | ~brave(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4029211205648738125801628
% SZS output start Proof for 4029211205648738125801628
15. ! [X0] : ((~patient(X0) & patient(X0)) <=> (brave(X0) | ~creative(X0))) [input p14]
25. brave(john) [input hypothesis]
68. ! [X0] : (((~patient(X0) & patient(X0)) | (~brave(X0) & creative(X0))) & ((brave(... | 0 |
If someone is either not strong or not humble then lucy is not strong and vice versa.
If someone is both not kind and not creative then fred is either not humble or not patient.
If fred is either humble or not curious then mary is old or calm.
If someone is not brave then lucy is either not rich or brave.
Everyone who ... | Mary is not curious. | contradiction | ((?[X]:((~strong(X)<~>~humble(X))))<=>(~strong(lucy)))&
((?[X]:((~kind(X)&~creative(X))))=>((~humble(fred)<~>~patient(fred))))&
(((humble(fred)<~>~curious(fred)))=>((old(mary)|calm(mary))))&
((?[X]:(~brave(X)))=>((~rich(lucy)<~>brave(lucy))))&
(![X]:((kind(X)&humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((funny(X)<~>humb... | ~curious(mary) | [
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 318004994795194496010813
% SZS output start Proof for 318004994795194496010813
5. ! [X0] : ((humble(X0) & kind(X0)) <=> (humble(X0) | quiet(X0))) [input p4]
6. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (~funny(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((patient(X0) & curious(X0)) <=> (~... | 0 |
If susan is either humble or not curious then lucy is not rich or old and vice versa.
If someone is not brave or not humble then someone is not creative or rich and vice versa.
Everyone who is either not patient or humble is either old or curious and vice versa.
If john is both not brave and not funny then alice is eit... | John is happy. | contradiction | (((humble(susan)<~>~curious(susan)))<=>((~rich(lucy)|old(lucy))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funny(john)))<=>((funny(alice)<~>patient(alice))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((~strong(X)|calm(X)... | happy(john) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8703533418041489230183561
% SZS output start Proof for 8703533418041489230183561
6. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p5]
8. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p7]
21. happy(john) [input hypothesis]
42. ! [X0] : ((... | 0 |
If someone is brave then susan is both brave and not quiet. If alice is not humble then someone is either not happy or rich. If someone is both curious and patient then paul is curious or kind and vice versa. Everyone who is old or calm is not generous or generous. Everyone who is happy is not curious and vice versa. I... | Susan is wise. | contradiction | ((?[X]:(brave(X)))=>((brave(susan)&~quiet(susan))))&
((~humble(alice))=>(?[X]:((~happy(X)<~>rich(X)))))&
((?[X]:((curious(X)&patient(X))))<=>((curious(paul)|kind(paul))))&
(![X]:((old(X)|calm(X))=>(~generous(X)|generous(X))))&
(![X]:(happy(X)<=>~curious(X)))&
(((~curious(fred)|patient(fred)))<=>(?[X]:((~happy(X)&wise(X... | wise(susan) | [
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6565212851809936274595306
% SZS output start Proof for 6565212851809936274595306
10. ! [X0] : ((wise(X0) & ~rich(X0)) => (~old(X0) & ~wise(X0))) [input p9]
11. ! [X0] : (rich(X0) => (quiet(X0) & humble(X0))) [input p10]
20. funny(susan) & ~quiet(susan) [input p19]
24. wise(susan) [input h... | 0 |
If someone is both tall and humble then someone is not kind or not funny.
Everyone who is either not generous or not tall is not creative or not curious and vice versa.
If someone is both happy and not generous then susan is both generous and not curious.
If someone is either not curious or not quiet then susan is both... | Fred is not rich. | entailment | ((?[X]:((tall(X)&humble(X))))=>(?[X]:((~kind(X)|~funny(X)))))&
(![X]:((~generous(X)<~>~tall(X))<=>(~creative(X)|~curious(X))))&
((?[X]:((happy(X)&~generous(X))))=>((generous(susan)&~curious(susan))))&
((?[X]:((~curious(X)<~>~quiet(X))))<=>((~curious(susan)&~generous(susan))))&
(![X]:(~happy(X)<=>(~creative(X)|brave(X))... | ~rich(fred) | [
"p1",
"p5",
"p8",
"p9",
"p12",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4793831165541214550379228
% SZS output start Proof for 4793831165541214550379228
2. ! [X0] : ((~generous(X0) <~> ~tall(X0)) <=> (~curious(X0) | ~creative(X0))) [input p1]
6. ? [X0] : (~curious(X0) <~> ~quiet(X0)) <=> (~humble(fred) & ~funny(fred)) [input p5]
9. ! [X0] : ((~creative(X0) | ... | 0 |
Everyone who is both creative and calm is generous or not patient and vice versa.
Everyone who is not curious is calm and vice versa.
If someone is curious or quiet then someone is not rich.
Everyone who is either curious or funny is calm.
If someone is either curious or not funny then john is calm.
If alice is not str... | Fred is quiet. | neutral | (![X]:((creative(X)&calm(X))<=>(generous(X)|~patient(X))))&
(![X]:(~curious(X)<=>calm(X)))&
((?[X]:((curious(X)|quiet(X))))=>(?[X]:(~rich(X))))&
(![X]:((curious(X)<~>funny(X))=>calm(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>(calm(john)))&
((~strong(alice))<=>((~creative(alice)|creative(alice))))&
(![X]:((~tall(X)&rich(... | quiet(fred) | [] | null | 0 |
Everyone who is both not rich and not funny is both rich and not curious and vice versa.
Everyone who is either not wise or not patient is not calm or kind and vice versa.
Everyone who is either not calm or calm is both not rich and quiet and vice versa.
Everyone who is not wise is both not patient and not wise and vic... | Alice is generous. | contradiction | (![X]:((~rich(X)&~funny(X))<=>(rich(X)&~curious(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~calm(X)|kind(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(~rich(X)&quiet(X))))&
(![X]:(~wise(X)<=>(~patient(X)&~wise(X))))&
(((~creative(paul)&~quiet(paul)))<=>(?[X]:((rich(X)|~happy(X)))))&
(![X]:(~funny(X)=>(kind(X)|~kind(X))))&
(![X]... | generous(alice) | [
"p2",
"p4",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7139697500356689666872626
% SZS output start Proof for 7139697500356689666872626
3. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (quiet(X0) & ~rich(X0))) [input p2]
5. (~quiet(paul) & ~creative(paul)) <=> ? [X0] : (~happy(X0) | rich(X0)) [input p4]
12. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> gene... | 0 |
If someone is not old then someone is not old or wise.
If someone is either not humble or wise then someone is both funny and happy.
Everyone who is rich is not brave or not patient.
Everyone who is both tall and strong is both not generous and not wise and vice versa.
If mary is both not rich and rich then someone is ... | Lucy is not patient. | entailment | ((?[X]:(~old(X)))=>(?[X]:((~old(X)|wise(X)))))&
((?[X]:((~humble(X)<~>wise(X))))=>(?[X]:((funny(X)&happy(X)))))&
(![X]:(rich(X)=>(~brave(X)|~patient(X))))&
(![X]:((tall(X)&strong(X))<=>(~generous(X)&~wise(X))))&
(((~rich(mary)&rich(mary)))<=>(?[X]:((kind(X)|~rich(X)))))&
((?[X]:((old(X)&curious(X))))=>((creative(mary)&... | ~patient(lucy) | [
"p2",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6013471532051437059263509
% SZS output start Proof for 6013471532051437059263509
3. ! [X0] : (rich(X0) => (~patient(X0) | ~brave(X0))) [input p2]
5. (rich(mary) & ~rich(mary)) <=> ? [X0] : (~rich(X0) | kind(X0)) [input p4]
20. brave(lucy) [input p19]
24. patient(lucy) [input hypothesis]
3... | 0 |
If someone is not creative then someone is not old and vice versa.
If someone is both not creative and calm then paul is generous.
Everyone who is both brave and not happy is either not curious or strong.
If paul is not kind or not tall then someone is rich.
Everyone who is generous or wise is both not quiet and not wi... | Paul is not curious. | entailment | ((?[X]:(~creative(X)))<=>(?[X]:(~old(X))))&
((?[X]:((~creative(X)&calm(X))))=>(generous(paul)))&
(![X]:((brave(X)&~happy(X))=>(~curious(X)<~>strong(X))))&
(((~kind(paul)|~tall(paul)))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|wise(X))<=>(~quiet(X)&~wise(X))))&
(![X]:(~generous(X)=>(strong(X)<~>~funny(X))))&
((~creative(f... | ~curious(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6120908536193291503367470
% SZS output start Proof for 6120908536193291503367470
12. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (rich(X0) | curious(X0))) [input p11]
24. curious(paul) [input hypothesis]
64. ! [X0] : (((calm(X0) & ~curious(X0)) | (~rich(X0) & ~curious(X0))) & ((rich(X0) | cur... | 0 |
Everyone who is both not kind and not rich is either tall or kind.
If fred is brave or not humble then someone is not funny and vice versa.
If alice is rich then someone is either not old or humble and vice versa.
If susan is not humble then someone is not tall or funny.
If someone is not strong or funny then someone i... | Mary is not strong. | contradiction | (![X]:((~kind(X)&~rich(X))=>(tall(X)<~>kind(X))))&
(((brave(fred)|~humble(fred)))<=>(?[X]:(~funny(X))))&
((rich(alice))<=>(?[X]:((~old(X)<~>humble(X)))))&
((~humble(susan))=>(?[X]:((~tall(X)|funny(X)))))&
((?[X]:((~strong(X)|funny(X))))=>(?[X]:((kind(X)&rich(X)))))&
((?[X]:((calm(X)&~generous(X))))<=>(?[X]:((~funny(X)|... | ~strong(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5919275843387224498814259
% SZS output start Proof for 5919275843387224498814259
8. ! [X0] : (~strong(X0) <=> (strong(X0) & wise(X0))) [input p7]
25. ~strong(mary) [input hypothesis]
57. ! [X0] : ((~strong(X0) | (~strong(X0) | ~wise(X0))) & ((strong(X0) & wise(X0)) | strong(X0))) [nnf tra... | 0 |
Everyone who is quiet or not brave is both not strong and not kind and vice versa.
Everyone who is both generous and quiet is not wise or not patient.
If susan is patient or not wise then lucy is both not brave and not kind and vice versa.
Everyone who is both tall and not humble is not happy or strong and vice versa.
... | Fred is strong. | contradiction | (![X]:((quiet(X)|~brave(X))<=>(~strong(X)&~kind(X))))&
(![X]:((generous(X)&quiet(X))=>(~wise(X)|~patient(X))))&
(((patient(susan)|~wise(susan)))<=>((~brave(lucy)&~kind(lucy))))&
(![X]:((tall(X)&~humble(X))<=>(~happy(X)|strong(X))))&
(((~happy(susan)&quiet(susan)))<=>((~funny(lucy)<~>creative(lucy))))&
(![X]:((~quiet(X)... | strong(fred) | [
"p0",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6470966268609486990297630
% SZS output start Proof for 6470966268609486990297630
1. ! [X0] : ((~brave(X0) | quiet(X0)) <=> (~kind(X0) & ~strong(X0))) [input p0]
7. ! [X0] : ((~rich(X0) & wise(X0)) <=> (humble(X0) | brave(X0))) [input p6]
20. rich(fred) <~> ~strong(fred) [input p19]
25. st... | 0 |
If john is both old and not wise then mary is both rich and not calm and vice versa.
Everyone who is either not old or not happy is not brave and vice versa.
Everyone who is calm or strong is both quiet and curious and vice versa.
Everyone who is both not strong and not kind is not happy or quiet.
Everyone who is both ... | Alice is not brave. | entailment | (((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))&
(![X]:((~old(X)<~>~happy(X))<=>~brave(X)))&
(![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))&
(![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))&
(![X]:(calm(X)<=>(~funny(X)<~>~old(X))))&
(![X]:((patient... | ~brave(alice) | [
"p1",
"p2",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6076121648229410278720280
% SZS output start Proof for 6076121648229410278720280
2. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((strong(X0) | calm(X0)) <=> (curious(X0) & quiet(X0))) [input p2]
9. ! [X0] : (old(X0) <=> ~quiet(X0)) [input p8]
10. ! [X0] : (o... | 0 |
Everyone who is either not generous or not calm is not wise and vice versa.
If someone is strong then someone is either old or quiet.
If someone is both not generous and not patient then someone is both not tall and not rich.
If someone is not old or not curious then mary is wise.
Everyone who is both generous and not ... | Fred is not tall. | neutral | (![X]:((~generous(X)<~>~calm(X))<=>~wise(X)))&
((?[X]:(strong(X)))=>(?[X]:((old(X)<~>quiet(X)))))&
((?[X]:((~generous(X)&~patient(X))))=>(?[X]:((~tall(X)&~rich(X)))))&
((?[X]:((~old(X)|~curious(X))))=>(wise(mary)))&
(![X]:((generous(X)&~generous(X))=>(~kind(X)<~>brave(X))))&
((?[X]:((wise(X)|~happy(X))))<=>(?[X]:((rich... | ~tall(fred) | [] | null | 0 |
If susan is not brave or not humble then someone is either not tall or wise and vice versa.
Everyone who is not generous is generous or not funny.
Everyone who is patient is either not kind or funny.
Everyone who is both curious and not wise is not funny.
Everyone who is both not patient and not humble is either funny ... | Alice is not curious. | neutral | (((~brave(susan)|~humble(susan)))<=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:(~generous(X)=>(generous(X)|~funny(X))))&
(![X]:(patient(X)=>(~kind(X)<~>funny(X))))&
(![X]:((curious(X)&~wise(X))=>~funny(X)))&
(![X]:((~patient(X)&~humble(X))<=>(funny(X)<~>~old(X))))&
(![X]:((tall(X)<~>funny(X))<=>calm(X)))&
((?[X]:((wise(X)&r... | ~curious(alice) | [] | null | 0 |
If someone is not humble or not curious then someone is funny or not old and vice versa.
If someone is strong then alice is not rich.
Everyone who is either creative or strong is both not humble and not curious and vice versa.
If fred is strong then someone is either tall or not curious.
If john is not patient then ali... | Alice is rich. | contradiction | ((?[X]:((~humble(X)|~curious(X))))<=>(?[X]:((funny(X)|~old(X)))))&
((?[X]:(strong(X)))=>(~rich(alice)))&
(![X]:((creative(X)<~>strong(X))<=>(~humble(X)&~curious(X))))&
((strong(fred))=>(?[X]:((tall(X)<~>~curious(X)))))&
((~patient(john))<=>(happy(alice)))&
(((strong(mary)&humble(mary)))<=>(?[X]:((~wise(X)<~>strong(X)))... | rich(alice) | [
"p1",
"p7",
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1916215981418059096774220
% SZS output start Proof for 1916215981418059096774220
2. ? [X0] : strong(X0) => ~rich(alice) [input p1]
8. ! [X0] : ((~calm(X0) | ~generous(X0)) => ~kind(X0)) [input p7]
10. ! [X0] : (kind(X0) <=> (creative(X0) <~> ~creative(X0))) [input p9]
22. ? [X0] : (strong... | 0 |
If someone is both tall and not quiet then someone is tall or old and vice versa.
Everyone who is both happy and not funny is tall or not strong and vice versa.
Everyone who is either not tall or not wise is either kind or not creative and vice versa.
If fred is both not funny and tall then lucy is either wise or not s... | Susan is wise. | entailment | ((?[X]:((tall(X)&~quiet(X))))<=>(?[X]:((tall(X)|old(X)))))&
(![X]:((happy(X)&~funny(X))<=>(tall(X)|~strong(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(kind(X)<~>~creative(X))))&
(((~funny(fred)&tall(fred)))=>((wise(lucy)<~>~strong(lucy))))&
((curious(fred))=>(?[X]:(quiet(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(happy(X)|~gene... | wise(susan) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 844473065748024007463817
% SZS output start Proof for 844473065748024007463817
10. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (~wise(X0) | ~funny(X0))) [input p9]
11. ! [X0] : (~brave(X0) <=> (~wise(X0) <~> generous(X0))) [input p10]
25. ~wise(susan) [input hypothesis]
61. ! [X0] : (((gene... | 0 |
Everyone who is either not tall or not humble is either quiet or wise. If susan is either tall or not rich then someone is either not happy or creative. If alice is both not funny and not kind then someone is not old and vice versa. Everyone who is brave is not kind and vice versa. Everyone who is both curious and not ... | Lucy is not calm. | entailment | (![X]:((~tall(X)<~>~humble(X))=>(quiet(X)<~>wise(X))))&
(((tall(susan)<~>~rich(susan)))=>(?[X]:((~happy(X)<~>creative(X)))))&
(((~funny(alice)&~kind(alice)))<=>(?[X]:(~old(X))))&
(![X]:(brave(X)<=>~kind(X)))&
(![X]:((curious(X)&~funny(X))=>(curious(X)|happy(X))))&
(![X]:((brave(X)|calm(X))<=>(~brave(X)&~quiet(X))))&
((... | ~calm(lucy) | [
"p2",
"p3",
"p5",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6686790767094901218639880
% SZS output start Proof for 6686790767094901218639880
3. (~kind(alice) & ~funny(alice)) <=> ? [X0] : ~old(X0) [input p2]
4. ! [X0] : (brave(X0) <=> ~kind(X0)) [input p3]
6. ! [X0] : ((calm(X0) | brave(X0)) <=> (~quiet(X0) & ~brave(X0))) [input p5]
11. ! [X0] : (... | 0 |
Everyone who is either funny or calm is both tall and not happy. Everyone who is not kind or not brave is either brave or calm and vice versa. Everyone who is generous or happy is tall or quiet and vice versa. If susan is patient then someone is not funny. Everyone who is not tall or not old is not funny or funny and v... | Mary is not rich. | neutral | (![X]:((funny(X)<~>calm(X))=>(tall(X)&~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>(brave(X)<~>calm(X))))&
(![X]:((generous(X)|happy(X))<=>(tall(X)|quiet(X))))&
((patient(susan))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)|~old(X))<=>(~funny(X)|funny(X))))&
(((~calm(mary)&~humble(mary)))<=>(wise(fred)))&
(![X]:((strong(X)<~>... | ~rich(mary) | [] | null | 0 |
If lucy is happy or not quiet then john is either not happy or not rich and vice versa.
If someone is both not funny and not old then someone is patient and vice versa.
Everyone who is both patient and not calm is quiet or not kind and vice versa.
Everyone who is either strong or not strong is curious and vice versa.
I... | Alice is tall. | contradiction | (((happy(lucy)|~quiet(lucy)))<=>((~happy(john)<~>~rich(john))))&
((?[X]:((~funny(X)&~old(X))))<=>(?[X]:(patient(X))))&
(![X]:((patient(X)&~calm(X))<=>(quiet(X)|~kind(X))))&
(![X]:((strong(X)<~>~strong(X))<=>curious(X)))&
((?[X]:((~tall(X)|humble(X))))=>(humble(lucy)))&
(![X]:((brave(X)<~>~humble(X))=>(kind(X)&~old(X)))... | tall(alice) | [
"p2",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 63817924515586639922519
% SZS output start Proof for 63817924515586639922519
3. ! [X0] : ((~calm(X0) & patient(X0)) <=> (~kind(X0) | quiet(X0))) [input p2]
12. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (tall(X0) | ~funny(X0))) [input p11]
15. ! [X0] : ((quiet(X0) | ~rich(X0)) <=> calm(X0)) [i... | 0 |
Everyone who is not kind or not calm is quiet and vice versa.
Everyone who is not humble or not funny is creative or kind and vice versa.
If john is tall then fred is not wise or not humble.
If someone is either not patient or not brave then someone is strong.
Everyone who is either wise or not wise is curious or stron... | Fred is not wise. | contradiction | (![X]:((~kind(X)|~calm(X))<=>quiet(X)))&
(![X]:((~humble(X)|~funny(X))<=>(creative(X)|kind(X))))&
((tall(john))=>((~wise(fred)|~humble(fred))))&
((?[X]:((~patient(X)<~>~brave(X))))=>(?[X]:(strong(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(... | ~wise(fred) | [
"p0",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8630252534245910366760601
% SZS output start Proof for 8630252534245910366760601
1. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> quiet(X0)) [input p0]
8. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0))) [input p7]
9. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~calm(X0)) [input p8]
21.... | 0 |
If john is strong or happy then paul is either not curious or not happy. Everyone who is either not strong or not kind is both not creative and not quiet and vice versa. Everyone who is both generous and not tall is both not quiet and not kind and vice versa. If lucy is funny or patient then someone is both not patient... | Mary is happy. | entailment | (((strong(john)|happy(john)))=>((~curious(paul)<~>~happy(paul))))&
(![X]:((~strong(X)<~>~kind(X))<=>(~creative(X)&~quiet(X))))&
(![X]:((generous(X)&~tall(X))<=>(~quiet(X)&~kind(X))))&
(((funny(lucy)|patient(lucy)))=>(?[X]:((~patient(X)&~old(X)))))&
(((~wise(john)&~old(john)))<=>((creative(paul)<~>patient(paul))))&
((?[... | happy(mary) | [
"p2",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6204382128458942083557576
% SZS output start Proof for 6204382128458942083557576
3. ! [X0] : ((~tall(X0) & generous(X0)) <=> (~kind(X0) & ~quiet(X0))) [input p2]
9. ! [X0] : ((kind(X0) & ~funny(X0)) => (~happy(X0) & ~calm(X0))) [input p8]
10. ? [X0] : (happy(X0) & ~patient(X0)) <=> ? [X0]... | 0 |
If alice is not curious or not rich then someone is funny or quiet.
Everyone who is either not happy or not tall is either calm or not patient and vice versa.
Everyone who is both not creative and not quiet is tall or not strong and vice versa.
Everyone who is both wise and not creative is rich or patient.
If someone i... | Paul is creative. | neutral | (((~curious(alice)|~rich(alice)))=>(?[X]:((funny(X)|quiet(X)))))&
(![X]:((~happy(X)<~>~tall(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((~creative(X)&~quiet(X))<=>(tall(X)|~strong(X))))&
(![X]:((wise(X)&~creative(X))=>(rich(X)|patient(X))))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:(tall(X))))&
((?[X]:((quiet(X)&generous... | creative(paul) | [] | null | 0 |
If lucy is both kind and not happy then someone is calm or not brave.
If someone is both kind and not curious then mary is not generous and vice versa.
Everyone who is both not generous and not quiet is not funny and vice versa.
If someone is either wise or quiet then mary is not humble and vice versa.
Everyone who is ... | Paul is not wise. | contradiction | (((kind(lucy)&~happy(lucy)))=>(?[X]:((calm(X)|~brave(X)))))&
((?[X]:((kind(X)&~curious(X))))<=>(~generous(mary)))&
(![X]:((~generous(X)&~quiet(X))<=>~funny(X)))&
((?[X]:((wise(X)<~>quiet(X))))<=>(~humble(mary)))&
(![X]:((~funny(X)&~strong(X))<=>~kind(X)))&
(![X]:((~old(X)&~kind(X))<=>(generous(X)|~wise(X))))&
((?[X]:((... | ~wise(paul) | [
"p2",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3510547066630564429607360
% SZS output start Proof for 3510547066630564429607360
3. ! [X0] : ((~quiet(X0) & ~generous(X0)) <=> ~funny(X0)) [input p2]
5. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> ~kind(X0)) [input p4]
6. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (~wise(X0) | generous(X0))) [inpu... | 0 |
If alice is not creative or curious then someone is strong or brave and vice versa. If someone is either quiet or not patient then mary is not happy and vice versa. If someone is not generous then someone is both not rich and old. If paul is not calm or not happy then someone is patient or not wise and vice versa. If s... | John is patient. | contradiction | (((~creative(alice)|curious(alice)))<=>(?[X]:((strong(X)|brave(X)))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(~happy(mary)))&
((?[X]:(~generous(X)))=>(?[X]:((~rich(X)&old(X)))))&
(((~calm(paul)|~happy(paul)))<=>(?[X]:((patient(X)|~wise(X)))))&
((?[X]:(~wise(X)))=>(quiet(mary)))&
(![X]:((curious(X)|~old(X))=>(~brave(X)|g... | patient(john) | [
"p1",
"p6",
"p9",
"p10",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8836086904803395162774885
% SZS output start Proof for 8836086904803395162774885
2. ? [X0] : (quiet(X0) <~> ~patient(X0)) <=> ~happy(mary) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~creative(X0)) => (~rich(X0) & quiet(X0))) [input p6]
10. (~patient(john) | ~creative(john)) <=> ? [X0] : ~pat... | 0 |
If someone is either not funny or not brave then someone is both rich and not strong and vice versa.
Everyone who is not happy is both not wise and humble and vice versa.
If paul is not patient or brave then someone is quiet and vice versa.
Everyone who is calm or not humble is not happy or not curious and vice versa.
... | Mary is not kind. | entailment | ((?[X]:((~funny(X)<~>~brave(X))))<=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:(~happy(X)<=>(~wise(X)&humble(X))))&
(((~patient(paul)|brave(paul)))<=>(?[X]:(quiet(X))))&
(![X]:((calm(X)|~humble(X))<=>(~happy(X)|~curious(X))))&
(![X]:((~old(X)|~quiet(X))<=>~brave(X)))&
(![X]:(old(X)<=>patient(X)))&
(![X]:(~humble(X)<=>brave(... | ~kind(mary) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2701130164355224602822929
% SZS output start Proof for 2701130164355224602822929
2. ! [X0] : (~happy(X0) <=> (humble(X0) & ~wise(X0))) [input p1]
4. ! [X0] : ((~humble(X0) | calm(X0)) <=> (~curious(X0) | ~happy(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> ~brave(X0)) [input p... | 0 |
If someone is either strong or wise then mary is either not creative or strong.
If alice is creative then someone is not kind or old and vice versa.
Everyone who is either strong or not happy is not funny and vice versa.
Everyone who is generous is not curious and vice versa.
Everyone who is either not humble or not st... | Mary is generous. | contradiction | ((?[X]:((strong(X)<~>wise(X))))=>((~creative(mary)<~>strong(mary))))&
((creative(alice))<=>(?[X]:((~kind(X)|old(X)))))&
(![X]:((strong(X)<~>~happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>~curious(X)))&
(![X]:((~humble(X)<~>~strong(X))<=>~tall(X)))&
(![X]:(~strong(X)=>(~kind(X)&tall(X))))&
(((~happy(susan)<~>wise(susan)... | generous(mary) | [
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6040682771643673592384683
% SZS output start Proof for 6040682771643673592384683
13. generous(mary) <=> ~patient(alice) [input p12]
21. patient(alice) [input p20]
25. generous(mary) [input hypothesis]
57. (generous(mary) | patient(alice)) & (~patient(alice) | ~generous(mary)) [nnf transfo... | 0 |
Everyone who is either not creative or not wise is either not calm or not generous and vice versa. If mary is old or not calm then lucy is not funny. Everyone who is either funny or tall is either not wise or not kind and vice versa. Everyone who is either not kind or not brave is either creative or not old. Everyone w... | Alice is kind. | neutral | (![X]:((~creative(X)<~>~wise(X))<=>(~calm(X)<~>~generous(X))))&
(((old(mary)|~calm(mary)))=>(~funny(lucy)))&
(![X]:((funny(X)<~>tall(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:((~kind(X)<~>~brave(X))=>(creative(X)<~>~old(X))))&
(![X]:((calm(X)&~funny(X))=>(~quiet(X)&~generous(X))))&
((?[X]:(~wise(X)))<=>(~patient(john)))&
(!... | kind(alice) | [] | null | 0 |
If someone is either humble or not creative then susan is both not kind and curious and vice versa.
If someone is not rich then someone is either not strong or not quiet and vice versa.
Everyone who is not generous is not old.
Everyone who is either happy or quiet is not creative or not kind and vice versa.
Everyone wh... | Fred is old. | contradiction | ((?[X]:((humble(X)<~>~creative(X))))<=>((~kind(susan)&curious(susan))))&
((?[X]:(~rich(X)))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>~old(X)))&
(![X]:((happy(X)<~>quiet(X))<=>(~creative(X)|~kind(X))))&
(![X]:((happy(X)<~>old(X))<=>(funny(X)&~old(X))))&
(![X]:((~creative(X)&quiet(X))<=>(~strong(X)|~hap... | old(fred) | [
"p2",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9030761853996206800347744
% SZS output start Proof for 9030761853996206800347744
3. ! [X0] : (~generous(X0) => ~old(X0)) [input p2]
14. ! [X0] : ((patient(X0) | ~calm(X0)) => ~generous(X0)) [input p13]
17. patient(fred) & ~happy(fred) [input p16]
25. old(fred) [input hypothesis]
28. ! [X0... | 0 |
Everyone who is both patient and not happy is either not generous or brave. If someone is curious then someone is both brave and generous and vice versa. If paul is funny then someone is either not humble or calm. If someone is both rich and wise then john is old and vice versa. Everyone who is not old is not wise or n... | Mary is generous. | entailment | (![X]:((patient(X)&~happy(X))=>(~generous(X)<~>brave(X))))&
((?[X]:(curious(X)))<=>(?[X]:((brave(X)&generous(X)))))&
((funny(paul))=>(?[X]:((~humble(X)<~>calm(X)))))&
((?[X]:((rich(X)&wise(X))))<=>(old(john)))&
(![X]:(~old(X)<=>(~wise(X)|~funny(X))))&
(![X]:((~wise(X)|strong(X))=>brave(X)))&
((?[X]:((~wise(X)&rich(X)))... | generous(mary) | [
"p8",
"p9",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4627895350148989088799326
% SZS output start Proof for 4627895350148989088799326
9. ? [X0] : (~generous(X0) <~> kind(X0)) => (kind(paul) & rich(paul)) [input p8]
10. ! [X0] : ((kind(X0) | rich(X0)) => (rich(X0) | ~wise(X0))) [input p9]
14. ! [X0] : ((rich(X0) | quiet(X0)) <=> (funny(X0) &... | 0 |
Everyone who is both tall and not wise is either curious or not generous and vice versa.
Everyone who is either patient or not generous is not wise or old.
If someone is old then fred is not funny and vice versa.
If mary is either not wise or not kind then susan is not quiet or not calm and vice versa.
Everyone who is ... | John is quiet. | contradiction | (![X]:((tall(X)&~wise(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((patient(X)<~>~generous(X))=>(~wise(X)|old(X))))&
((?[X]:(old(X)))<=>(~funny(fred)))&
(((~wise(mary)<~>~kind(mary)))<=>((~quiet(susan)|~calm(susan))))&
(![X]:((~generous(X)|quiet(X))<=>(patient(X)&~tall(X))))&
(![X]:((~curious(X)<~>~funny(X))<=>kind(X)))... | quiet(john) | [
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5397322431898967481251296
% SZS output start Proof for 5397322431898967481251296
5. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> (~tall(X0) & patient(X0))) [input p4]
10. ? [X0] : (~strong(X0) | ~tall(X0)) <=> humble(john) [input p9]
15. ? [X0] : humble(X0) => ~humble(john) [input p14]
21. q... | 0 |
Everyone who is either patient or brave is curious and vice versa.
If mary is not creative or not funny then someone is either not wise or not humble and vice versa.
Everyone who is rich or generous is either patient or not tall and vice versa.
Everyone who is both wise and patient is either happy or not calm and vice ... | Lucy is not wise. | neutral | (![X]:((patient(X)<~>brave(X))<=>curious(X)))&
(((~creative(mary)|~funny(mary)))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((rich(X)|generous(X))<=>(patient(X)<~>~tall(X))))&
(![X]:((wise(X)&patient(X))<=>(happy(X)<~>~calm(X))))&
(![X]:((~quiet(X)&strong(X))=>(~tall(X)<~>brave(X))))&
((?[X]:((~curious(X)|~patient(X)))... | ~wise(lucy) | [] | null | 0 |
Everyone who is either not kind or not calm is creative or not kind and vice versa.
Everyone who is both funny and not calm is generous.
If someone is not strong then john is both not wise and not brave and vice versa.
Everyone who is quiet is both not strong and not brave.
Everyone who is kind or wise is both not brav... | John is not calm. | contradiction | (![X]:((~kind(X)<~>~calm(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)&~calm(X))=>generous(X)))&
((?[X]:(~strong(X)))<=>((~wise(john)&~brave(john))))&
(![X]:(quiet(X)=>(~strong(X)&~brave(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&patient(X))<=>(~... | ~calm(john) | [
"p0",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6446926811150666833645626
% SZS output start Proof for 6446926811150666833645626
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~kind(X0) | creative(X0))) [input p0]
7. ! [X0] : ((patient(X0) & tall(X0)) <=> (~creative(X0) <~> ~calm(X0))) [input p6]
9. ! [X0] : ((~kind(X0) & ~patient(X0)) <=... | 0 |
Everyone who is both not curious and calm is both humble and patient and vice versa. If someone is not rich or brave then lucy is both old and wise. Everyone who is not humble is generous or tall. Everyone who is curious is both humble and rich and vice versa. If someone is both not patient and strong then john is stro... | Mary is not tall. | neutral | (![X]:((~curious(X)&calm(X))<=>(humble(X)&patient(X))))&
((?[X]:((~rich(X)|brave(X))))=>((old(lucy)&wise(lucy))))&
(![X]:(~humble(X)=>(generous(X)|tall(X))))&
(![X]:(curious(X)<=>(humble(X)&rich(X))))&
((?[X]:((~patient(X)&strong(X))))<=>(strong(john)))&
(((calm(susan)|~kind(susan)))<=>((creative(fred)&~happy(fred))))&... | ~tall(mary) | [] | null | 0 |
Everyone who is both generous and strong is rich or old. Everyone who is both not brave and not funny is either quiet or curious. If someone is both humble and generous then someone is either strong or happy and vice versa. Everyone who is both not strong and not creative is wise and vice versa. If someone is not tall ... | Paul is wise. | contradiction | (![X]:((generous(X)&strong(X))=>(rich(X)|old(X))))&
(![X]:((~brave(X)&~funny(X))=>(quiet(X)<~>curious(X))))&
((?[X]:((humble(X)&generous(X))))<=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:((~strong(X)&~creative(X))<=>wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:(kind(X))))&
((?[X]:((~patient(X)&~curious(X))))=>(?[X]:(~wise(X))))... | wise(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6795288991226954898566483
% SZS output start Proof for 6795288991226954898566483
8. ! [X0] : ((~old(X0) & old(X0)) <=> wise(X0)) [input p7]
25. wise(paul) [input hypothesis]
55. ! [X0] : (((~old(X0) & old(X0)) | ~wise(X0)) & (wise(X0) | (old(X0) | ~old(X0)))) [nnf transformation 8]
56. ! ... | 0 |
Everyone who is strong or calm is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone is n... | Fred is not strong. | contradiction | (![X]:((strong(X)|calm(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~strong(fred) | [
"p0",
"p1",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9146532319258096960476376
% SZS output start Proof for 9146532319258096960476376
1. ! [X0] : ((calm(X0) | strong(X0)) <=> (~rich(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
10. ! [X0] : ((rich(X0) <~> old(X0)) => ~humble(X0)) [... | 0 |
Everyone who is either not funny or not humble is not old or not humble.
If susan is both curious and not strong then someone is humble.
Everyone who is both wise and happy is not rich or not quiet and vice versa.
If someone is old then someone is both not tall and humble.
If lucy is either old or not brave then someon... | John is kind. | contradiction | (![X]:((~funny(X)<~>~humble(X))=>(~old(X)|~humble(X))))&
(((curious(susan)&~strong(susan)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&happy(X))<=>(~rich(X)|~quiet(X))))&
((?[X]:(old(X)))=>(?[X]:((~tall(X)&humble(X)))))&
(((old(lucy)<~>~brave(lucy)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:(humble(X)<=>funny(X)))&
((?[X]... | kind(john) | [
"p2",
"p5",
"p7",
"p9",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4242859504742209944400226
% SZS output start Proof for 4242859504742209944400226
3. ! [X0] : ((happy(X0) & wise(X0)) <=> (~quiet(X0) | ~rich(X0))) [input p2]
6. ! [X0] : (humble(X0) <=> funny(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (humble(X0) & ~wise(X0))) [input p7]
10.... | 0 |
Everyone who is not wise or curious is kind.
Everyone who is not humble or curious is generous.
Everyone who is not quiet is not strong and vice versa.
Everyone who is not happy is both not kind and not calm and vice versa.
If john is not curious or not humble then someone is both calm and not quiet.
Everyone who is no... | Susan is generous. | entailment | (![X]:((~wise(X)|curious(X))=>kind(X)))&
(![X]:((~humble(X)|curious(X))=>generous(X)))&
(![X]:(~quiet(X)<=>~strong(X)))&
(![X]:(~happy(X)<=>(~kind(X)&~calm(X))))&
(((~curious(john)|~humble(john)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~calm(X)|funny(X))<=>~funny(X)))&
(((~creative(paul)|funny(paul)))=>(?[X]:((~calm(X... | generous(susan) | [
"p1",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4291675761470321854512254
% SZS output start Proof for 4291675761470321854512254
2. ! [X0] : ((curious(X0) | ~humble(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((old(X0) | ~calm(X0)) => (~patient(X0) <~> tall(X0))) [input p... | 0 |
Everyone who is generous is happy or not wise and vice versa.
Everyone who is not old is both not quiet and creative and vice versa.
If someone is either kind or not happy then lucy is both not rich and old and vice versa.
Everyone who is rich or not kind is both not happy and not creative and vice versa.
If someone is... | Paul is wise. | contradiction | (![X]:(generous(X)<=>(happy(X)|~wise(X))))&
(![X]:(~old(X)<=>(~quiet(X)&creative(X))))&
((?[X]:((kind(X)<~>~happy(X))))<=>((~rich(lucy)&old(lucy))))&
(![X]:((rich(X)|~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:((curious(X)|generous(X))))=>((patient(susan)<~>old(susan))))&
(![X]:((humble(X)|~old(X))=>(~humble(X)|happ... | wise(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5975308437387409005705019
% SZS output start Proof for 5975308437387409005705019
11. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~wise(X0) & ~brave(X0))) [input p10]
20. wise(paul) [input hypothesis]
52. ! [X0] : ((((patient(X0) | ~patient(X0)) & (~patient(X0) | patient(X0))) | (wise(X0... | 0 |
If mary is both not kind and quiet then someone is quiet or not tall.
Everyone who is not kind or happy is both creative and rich.
Everyone who is both not humble and not curious is not rich and vice versa.
If someone is both not funny and not rich then someone is either not generous or not old.
If someone is not gener... | Mary is not curious. | entailment | (((~kind(mary)&quiet(mary)))=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~kind(X)|happy(X))=>(creative(X)&rich(X))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X)... | ~curious(mary) | [
"p2",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2112301359269453156609860
% SZS output start Proof for 2112301359269453156609860
3. ! [X0] : ((~curious(X0) & ~humble(X0)) <=> ~rich(X0)) [input p2]
6. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p5]
13. ! [X0] : ((rich(X0) | generous(X0)) => (old(X0) <~> rich(X0))) [input p12]
24... | 0 |
If someone is not funny or quiet then someone is not quiet.
If someone is not old then mary is either generous or brave.
Everyone who is not curious is not generous or not kind.
If susan is not generous then alice is strong or rich and vice versa.
Everyone who is patient is creative and vice versa.
If susan is either n... | John is not rich. | entailment | ((?[X]:((~funny(X)|quiet(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(~old(X)))=>((generous(mary)<~>brave(mary))))&
(![X]:(~curious(X)=>(~generous(X)|~kind(X))))&
((~generous(susan))<=>((strong(alice)|rich(alice))))&
(![X]:(patient(X)<=>creative(X)))&
(((~creative(susan)<~>creative(susan)))=>(?[X]:(~strong(X))))&
(![X]:((~stron... | ~rich(john) | [
"p4",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 580543678814672622757737
% SZS output start Proof for 580543678814672622757737
5. ! [X0] : (patient(X0) <=> creative(X0)) [input p4]
8. ! [X0] : ((~calm(X0) | wise(X0)) <=> (patient(X0) & ~kind(X0))) [input p7]
10. ! [X0] : ((generous(X0) | creative(X0)) <=> (~calm(X0) & ~old(X0))) [input... | 0 |
If fred is either funny or brave then lucy is both not strong and strong. Everyone who is both creative and rich is either quiet or calm and vice versa. Everyone who is either brave or not humble is not rich. Everyone who is both not rich and happy is either old or not quiet and vice versa. Everyone who is either not g... | Mary is not curious. | neutral | (((funny(fred)<~>brave(fred)))=>((~strong(lucy)&strong(lucy))))&
(![X]:((creative(X)&rich(X))<=>(quiet(X)<~>calm(X))))&
(![X]:((brave(X)<~>~humble(X))=>~rich(X)))&
(![X]:((~rich(X)&happy(X))<=>(old(X)<~>~quiet(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>~quiet(X)))&
(![X]:((~old(X)<~>wise(X))=>(humble(X)&tall(X))))&
(![X... | ~curious(mary) | [] | null | 0 |
Everyone who is both strong and not quiet is either not old or patient and vice versa. If paul is not calm or not generous then susan is quiet and vice versa. Everyone who is both curious and calm is happy or not tall and vice versa. If someone is kind or not quiet then someone is tall and vice versa. If someone is bot... | Mary is patient. | contradiction | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>patient(X))))&
(((~calm(paul)|~generous(paul)))<=>(quiet(susan)))&
(![X]:((curious(X)&calm(X))<=>(happy(X)|~tall(X))))&
((?[X]:((kind(X)|~quiet(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~patient(X)&strong(X))))=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~old(X))<=>brave(X)))&
(((~cur... | patient(mary) | [
"p0",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 549165424066544925612205
% SZS output start Proof for 549165424066544925612205
1. ! [X0] : ((~quiet(X0) & strong(X0)) <=> (~old(X0) <~> patient(X0))) [input p0]
4. ? [X0] : (~quiet(X0) | kind(X0)) <=> ? [X0] : tall(X0) [input p3]
9. ? [X0] : (~funny(X0) | ~old(X0)) <=> (rich(mary) & kind(... | 0 |
If someone is not quiet then someone is both not curious and tall and vice versa.
Everyone who is both brave and not kind is not creative and vice versa.
If alice is curious or not creative then someone is kind.
Everyone who is both curious and not humble is quiet and vice versa.
Everyone who is both wise and creative ... | Lucy is wise. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((brave(X)&~kind(X))<=>~creative(X)))&
(((curious(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)&~humble(X))<=>quiet(X)))&
(![X]:((wise(X)&creative(X))=>~quiet(X)))&
(((~quiet(paul)&~humble(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(![X]:(... | wise(lucy) | [] | null | 0 |
Everyone who is either curious or kind is not curious.
Everyone who is creative or old is not calm and vice versa.
Everyone who is not creative is not tall or funny and vice versa.
Everyone who is either not humble or not kind is not patient.
If someone is not happy then mary is not happy or not wise.
If someone is bot... | Fred is wise. | neutral | (![X]:((curious(X)<~>kind(X))=>~curious(X)))&
(![X]:((creative(X)|old(X))<=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)|funny(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~patient(X)))&
((?[X]:(~happy(X)))=>((~happy(mary)|~wise(mary))))&
((?[X]:((curious(X)&~rich(X))))=>((funny(susan)<~>~kind(susan))))&
((?[X]:((~curious(X)|... | wise(fred) | [] | null | 0 |
Everyone who is either not happy or not old is either brave or not happy and vice versa.
Everyone who is either quiet or tall is not happy or not humble and vice versa.
Everyone who is not generous or not kind is both generous and creative and vice versa.
Everyone who is both old and not strong is both humble and old a... | Paul is not curious. | neutral | (![X]:((~happy(X)<~>~old(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((quiet(X)<~>tall(X))<=>(~happy(X)|~humble(X))))&
(![X]:((~generous(X)|~kind(X))<=>(generous(X)&creative(X))))&
(![X]:((old(X)&~strong(X))<=>(humble(X)&old(X))))&
(![X]:(~kind(X)=>(~rich(X)<~>humble(X))))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:(funny(X)<=>(... | ~curious(paul) | [] | null | 0 |
If john is either not brave or not kind then someone is both tall and rich. Everyone who is not humble is either calm or kind and vice versa. Everyone who is not brave or funny is not quiet and vice versa. If someone is not rich or not calm then susan is strong. Everyone who is not old is kind or not calm. Everyone who... | Susan is not patient. | contradiction | (((~brave(john)<~>~kind(john)))=>(?[X]:((tall(X)&rich(X)))))&
(![X]:(~humble(X)<=>(calm(X)<~>kind(X))))&
(![X]:((~brave(X)|funny(X))<=>~quiet(X)))&
((?[X]:((~rich(X)|~calm(X))))=>(strong(susan)))&
(![X]:(~old(X)=>(kind(X)|~calm(X))))&
(![X]:((~curious(X)|~patient(X))<=>happy(X)))&
(((curious(susan)&~tall(susan)))<=>((h... | ~patient(susan) | [
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5623676852977387728794183
% SZS output start Proof for 5623676852977387728794183
15. ? [X0] : ~strong(X0) => (old(susan) & patient(susan)) [input p14]
23. ? [X0] : (~strong(X0) & curious(X0)) [input p22]
24. ~patient(susan) [input hypothesis]
37. (old(susan) & patient(susan)) | ! [X0] : s... | 0 |
Everyone who is not kind or not brave is curious.
Everyone who is both old and not kind is quiet or creative.
Everyone who is happy or old is not calm or not funny.
If someone is either not funny or happy then mary is not calm and vice versa.
Everyone who is either quiet or curious is both brave and not generous and vi... | Alice is not creative. | contradiction | (![X]:((~kind(X)|~brave(X))=>curious(X)))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|creative(X))))&
(![X]:((happy(X)|old(X))=>(~calm(X)|~funny(X))))&
((?[X]:((~funny(X)<~>happy(X))))<=>(~calm(mary)))&
(![X]:((quiet(X)<~>curious(X))<=>(brave(X)&~generous(X))))&
(((rich(fred)&~funny(fred)))<=>(?[X]:((humble(X)<~>quiet(X)))))&... | ~creative(alice) | [
"p5",
"p8",
"p14",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8337744786784642279985871
% SZS output start Proof for 8337744786784642279985871
6. (~funny(fred) & rich(fred)) <=> ? [X0] : (humble(X0) <~> quiet(X0)) [input p5]
9. ! [X0] : ((~quiet(X0) <~> ~tall(X0)) <=> (quiet(X0) | patient(X0))) [input p8]
15. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> ... | 0 |
If someone is tall or not calm then someone is not humble or humble and vice versa. Everyone who is either not quiet or generous is both quiet and not old and vice versa. Everyone who is not wise or not rich is both not generous and brave and vice versa. Everyone who is both not patient and funny is patient or not gene... | Fred is not brave. | contradiction | ((?[X]:((tall(X)|~calm(X))))<=>(?[X]:((~humble(X)|humble(X)))))&
(![X]:((~quiet(X)<~>generous(X))<=>(quiet(X)&~old(X))))&
(![X]:((~wise(X)|~rich(X))<=>(~generous(X)&brave(X))))&
(![X]:((~patient(X)&funny(X))<=>(patient(X)|~generous(X))))&
(![X]:(~happy(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((kind(X)&~kind(X))))=>((... | ~brave(fred) | [
"p2",
"p3",
"p7",
"p12",
"p15",
"p16",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 864778359676246690034878
% SZS output start Proof for 864778359676246690034878
3. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> (brave(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((funny(X0) & ~patient(X0)) <=> (~generous(X0) | patient(X0))) [input p3]
8. ! [X0] : ((humble(X0) & ~tall(X0)) => (~... | 0 |
Everyone who is both not rich and not strong is both rich and not calm and vice versa.
If mary is either not rich or not brave then someone is either curious or humble.
Everyone who is both creative and quiet is both not brave and not funny and vice versa.
If alice is not patient or not humble then john is generous or ... | Fred is rich. | neutral | (![X]:((~rich(X)&~strong(X))<=>(rich(X)&~calm(X))))&
(((~rich(mary)<~>~brave(mary)))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((creative(X)&quiet(X))<=>(~brave(X)&~funny(X))))&
(((~patient(alice)|~humble(alice)))<=>((generous(john)|happy(john))))&
((kind(john))<=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:(~humble(X)<=>... | rich(fred) | [] | null | 0 |
Everyone who is funny is either rich or not creative and vice versa.
If fred is not curious or not quiet then mary is not patient and vice versa.
Everyone who is not strong is either not rich or wise.
Everyone who is creative is tall or funny and vice versa.
Everyone who is both not kind and not happy is not wise or ca... | John is not rich. | contradiction | (![X]:(funny(X)<=>(rich(X)<~>~creative(X))))&
(((~curious(fred)|~quiet(fred)))<=>(~patient(mary)))&
(![X]:(~strong(X)=>(~rich(X)<~>wise(X))))&
(![X]:(creative(X)<=>(tall(X)|funny(X))))&
(![X]:((~kind(X)&~happy(X))=>(~wise(X)|calm(X))))&
(![X]:((~funny(X)<~>~patient(X))<=>(~funny(X)&~quiet(X))))&
(((wise(mary)<~>~tall(m... | ~rich(john) | [
"p0",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6691771513321666592316203
% SZS output start Proof for 6691771513321666592316203
1. ! [X0] : (funny(X0) <=> (rich(X0) <~> ~creative(X0))) [input p0]
4. ! [X0] : (creative(X0) <=> (funny(X0) | tall(X0))) [input p3]
12. ! [X0] : (tall(X0) <=> (~tall(X0) & ~calm(X0))) [input p11]
23. ~rich(j... | 0 |
Everyone who is either humble or not happy is either not quiet or calm.
Everyone who is either curious or not wise is either not brave or not rich and vice versa.
Everyone who is either not creative or not strong is either not tall or patient.
If someone is both not kind and not rich then mary is either not kind or qui... | John is quiet. | neutral | (![X]:((humble(X)<~>~happy(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((curious(X)<~>~wise(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:((~creative(X)<~>~strong(X))=>(~tall(X)<~>patient(X))))&
((?[X]:((~kind(X)&~rich(X))))<=>((~kind(mary)<~>quiet(mary))))&
(((calm(john)&curious(john)))<=>(?[X]:((old(X)&generous(X)))))&
(![X]:((humbl... | quiet(john) | [] | null | 0 |
Everyone who is not patient is both humble and funny and vice versa. Everyone who is wise is either not tall or happy and vice versa. If someone is not strong or not calm then fred is either not quiet or funny and vice versa. Everyone who is both not quiet and patient is either not rich or humble and vice versa. Everyo... | Fred is quiet. | entailment | (![X]:(~patient(X)<=>(humble(X)&funny(X))))&
(![X]:(wise(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((~strong(X)|~calm(X))))<=>((~quiet(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((kind(X)&funny(X))=>(~calm(X)<~>kind(X))))&
((?[X]:((calm(X)|kind(X))))<=>((funny(susan)<~>generous(s... | quiet(fred) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2711284288318427770384677
% SZS output start Proof for 2711284288318427770384677
7. ! [X0] : ((~funny(X0) <~> quiet(X0)) <=> ~quiet(X0)) [input p6]
20. funny(fred) <~> quiet(fred) [input p19]
24. ~quiet(fred) [input hypothesis]
46. ! [X0] : ((((~quiet(X0) | funny(X0)) & (quiet(X0) | ~funn... | 0 |
Everyone who is humble is funny and vice versa.
Everyone who is not funny is either tall or kind and vice versa.
If someone is not humble then someone is brave and vice versa.
Everyone who is calm is both creative and not calm.
Everyone who is either not tall or calm is both tall and wise.
Everyone who is either strong... | Paul is old. | contradiction | (![X]:(humble(X)<=>funny(X)))&
(![X]:(~funny(X)<=>(tall(X)<~>kind(X))))&
((?[X]:(~humble(X)))<=>(?[X]:(brave(X))))&
(![X]:(calm(X)=>(creative(X)&~calm(X))))&
(![X]:((~tall(X)<~>calm(X))=>(tall(X)&wise(X))))&
(![X]:((strong(X)<~>~patient(X))<=>(creative(X)&~brave(X))))&
(((curious(paul)<~>old(paul)))<=>(happy(susan)))&
... | old(paul) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3644825942522577278803689
% SZS output start Proof for 3644825942522577278803689
4. ! [X0] : (calm(X0) => (~calm(X0) & creative(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> calm(X0)) => (wise(X0) & tall(X0))) [input p4]
7. (curious(paul) <~> old(paul)) <=> happy(susan) [input p6]
8. ! [X0... | 0 |
Everyone who is generous or kind is not old. If someone is not kind then someone is not brave or creative. If someone is either not funny or wise then lucy is both not patient and wise and vice versa. Everyone who is either brave or not curious is calm or not wise. Everyone who is creative is calm or not strong and vic... | Paul is not generous. | neutral | (![X]:((generous(X)|kind(X))=>~old(X)))&
((?[X]:(~kind(X)))=>(?[X]:((~brave(X)|creative(X)))))&
((?[X]:((~funny(X)<~>wise(X))))<=>((~patient(lucy)&wise(lucy))))&
(![X]:((brave(X)<~>~curious(X))=>(calm(X)|~wise(X))))&
(![X]:(creative(X)<=>(calm(X)|~strong(X))))&
(![X]:((~creative(X)|~funny(X))<=>brave(X)))&
((brave(fred... | ~generous(paul) | [] | null | 0 |
Everyone who is not creative is curious or not kind and vice versa.
If someone is quiet or not strong then susan is patient or not quiet and vice versa.
Everyone who is both not patient and not quiet is both not old and patient and vice versa.
Everyone who is both creative and strong is humble and vice versa.
If someon... | Paul is wise. | neutral | (![X]:(~creative(X)<=>(curious(X)|~kind(X))))&
((?[X]:((quiet(X)|~strong(X))))<=>((patient(susan)|~quiet(susan))))&
(![X]:((~patient(X)&~quiet(X))<=>(~old(X)&patient(X))))&
(![X]:((creative(X)&strong(X))<=>humble(X)))&
((?[X]:((tall(X)<~>~strong(X))))<=>((patient(alice)|~creative(alice))))&
(![X]:((~rich(X)|brave(X))<=... | wise(paul) | [] | null | 0 |
If someone is not kind then someone is not calm or funny and vice versa.
Everyone who is not funny or not rich is not patient or not quiet and vice versa.
If someone is not old then someone is not creative.
Everyone who is either not kind or not calm is both old and not calm and vice versa.
Everyone who is not funny is... | Susan is rich. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((~calm(X)|funny(X)))))&
(![X]:((~funny(X)|~rich(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:(~old(X)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>~calm(X))<=>(old(X)&~calm(X))))&
(![X]:(~funny(X)=>(~happy(X)|~quiet(X))))&
(((tall(lucy)&wise(lucy)))=>(?[X]:((~tall(X)|~calm(X)))))&
((tall(john))<... | rich(susan) | [] | null | 0 |
If someone is either not tall or not happy then susan is either funny or not calm and vice versa. Everyone who is both not tall and rich is not brave or funny and vice versa. Everyone who is either not old or not brave is both not curious and patient. If someone is not kind or patient then someone is patient or tall. E... | John is not old. | contradiction | ((?[X]:((~tall(X)<~>~happy(X))))<=>((funny(susan)<~>~calm(susan))))&
(![X]:((~tall(X)&rich(X))<=>(~brave(X)|funny(X))))&
(![X]:((~old(X)<~>~brave(X))=>(~curious(X)&patient(X))))&
((?[X]:((~kind(X)|patient(X))))=>(?[X]:((patient(X)|tall(X)))))&
(![X]:((strong(X)&~brave(X))=>(kind(X)<~>old(X))))&
((~humble(paul))=>((~hum... | ~old(john) | [
"p1",
"p2",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5328195467328024941918025
% SZS output start Proof for 5328195467328024941918025
2. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (funny(X0) | ~brave(X0))) [input p1]
3. ! [X0] : ((~old(X0) <~> ~brave(X0)) => (patient(X0) & ~curious(X0))) [input p2]
22. curious(john) & ~wise(john) [input p21]
24. ... | 0 |
Everyone who is not strong is creative and vice versa.
If someone is both wise and not patient then someone is not quiet or not brave and vice versa.
If john is tall or not funny then alice is wise or not creative and vice versa.
If someone is both funny and wise then alice is either not patient or not wise.
Everyone w... | Mary is not calm. | entailment | (![X]:(~strong(X)<=>creative(X)))&
((?[X]:((wise(X)&~patient(X))))<=>(?[X]:((~quiet(X)|~brave(X)))))&
(((tall(john)|~funny(john)))<=>((wise(alice)|~creative(alice))))&
((?[X]:((funny(X)&wise(X))))=>((~patient(alice)<~>~wise(alice))))&
(![X]:((~brave(X)|~old(X))<=>~calm(X)))&
(![X]:((~tall(X)<~>curious(X))<=>(strong(X)&... | ~calm(mary) | [
"p0",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 486841928807937540104446
% SZS output start Proof for 486841928807937540104446
1. ! [X0] : (~strong(X0) <=> creative(X0)) [input p0]
11. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) & calm(X0))) [input p10]
15. ! [X0] : ((~humble(X0) | ~tall(X0)) <=> (generous(X0) & strong(X0)... | 0 |
Everyone who is happy or old is either not quiet or happy and vice versa. If alice is either not humble or strong then fred is not creative or strong and vice versa. Everyone who is not old is either not quiet or rich and vice versa. Everyone who is not curious or not kind is not brave. Everyone who is either not gener... | Susan is humble. | entailment | (![X]:((happy(X)|old(X))<=>(~quiet(X)<~>happy(X))))&
(((~humble(alice)<~>strong(alice)))<=>((~creative(fred)|strong(fred))))&
(![X]:(~old(X)<=>(~quiet(X)<~>rich(X))))&
(![X]:((~curious(X)|~kind(X))=>~brave(X)))&
(![X]:((~generous(X)<~>~funny(X))=>(wise(X)<~>~humble(X))))&
(![X]:((~tall(X)|old(X))<=>(calm(X)<~>humble(X)... | humble(susan) | [
"p0",
"p2",
"p5",
"p11",
"p12",
"p14",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5003768816170737267362940
% SZS output start Proof for 5003768816170737267362940
1. ! [X0] : ((old(X0) | happy(X0)) <=> (~quiet(X0) <~> happy(X0))) [input p0]
3. ! [X0] : (~old(X0) <=> (~quiet(X0) <~> rich(X0))) [input p2]
6. ! [X0] : ((old(X0) | ~tall(X0)) <=> (calm(X0) <~> humble(X0))) ... | 0 |
Everyone who is tall or not strong is not calm or curious.
Everyone who is both generous and quiet is both wise and calm.
If someone is both not old and not patient then someone is both not old and not calm and vice versa.
Everyone who is humble or not brave is both not patient and not generous.
If someone is not patie... | Susan is funny. | neutral | (![X]:((tall(X)|~strong(X))=>(~calm(X)|curious(X))))&
(![X]:((generous(X)&quiet(X))=>(wise(X)&calm(X))))&
((?[X]:((~old(X)&~patient(X))))<=>(?[X]:((~old(X)&~calm(X)))))&
(![X]:((humble(X)|~brave(X))=>(~patient(X)&~generous(X))))&
((?[X]:(~patient(X)))=>((~funny(susan)<~>funny(susan))))&
(![X]:((~generous(X)<~>old(X))=>... | funny(susan) | [] | null | 0 |
If fred is quiet then alice is calm.
If susan is both not patient and not brave then someone is both not kind and curious.
If someone is both funny and not brave then someone is humble and vice versa.
Everyone who is either tall or not curious is brave or creative and vice versa.
If someone is not happy or not generous... | Fred is tall. | entailment | ((quiet(fred))=>(calm(alice)))&
(((~patient(susan)&~brave(susan)))=>(?[X]:((~kind(X)&curious(X)))))&
((?[X]:((funny(X)&~brave(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(brave(X)|creative(X))))&
((?[X]:((~happy(X)|~generous(X))))=>(~curious(lucy)))&
(![X]:((~brave(X)&~curious(X))<=>(~tall(X)|~patient... | tall(fred) | [
"p5",
"p6",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3916288206076683458418952
% SZS output start Proof for 3916288206076683458418952
6. ! [X0] : ((~curious(X0) & ~brave(X0)) <=> (~patient(X0) | ~tall(X0))) [input p5]
7. ! [X0] : (~funny(X0) => (~humble(X0) & ~quiet(X0))) [input p6]
10. ! [X0] : ((brave(X0) <~> ~funny(X0)) => (~humble(X0) <... | 0 |
Everyone who is either not curious or curious is curious and vice versa.
Everyone who is either not brave or rich is either not patient or not calm and vice versa.
Everyone who is quiet is both not tall and rich and vice versa.
Everyone who is either not strong or not old is either happy or curious and vice versa.
If l... | Mary is brave. | entailment | (![X]:((~curious(X)<~>curious(X))<=>curious(X)))&
(![X]:((~brave(X)<~>rich(X))<=>(~patient(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~tall(X)&rich(X))))&
(![X]:((~strong(X)<~>~old(X))<=>(happy(X)<~>curious(X))))&
(((kind(lucy)<~>old(lucy)))<=>((kind(fred)&creative(fred))))&
(![X]:((generous(X)|~generous(X))=>(wise(X)&rich(X... | brave(mary) | [
"p1",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3968613909715179738580058
% SZS output start Proof for 3968613909715179738580058
2. ! [X0] : ((~brave(X0) <~> rich(X0)) <=> (~patient(X0) <~> ~calm(X0))) [input p1]
6. ! [X0] : ((~generous(X0) | generous(X0)) => (rich(X0) & wise(X0))) [input p5]
7. ! [X0] : ((~wise(X0) | calm(X0)) <=> (cr... | 0 |
Everyone who is both not funny and not brave is both not tall and not quiet and vice versa.
Everyone who is patient is either not tall or not rich and vice versa.
If lucy is both curious and not humble then fred is either wise or not old and vice versa.
Everyone who is both not kind and not patient is happy.
If someone... | Susan is not tall. | contradiction | (![X]:((~funny(X)&~brave(X))<=>(~tall(X)&~quiet(X))))&
(![X]:(patient(X)<=>(~tall(X)<~>~rich(X))))&
(((curious(lucy)&~humble(lucy)))<=>((wise(fred)<~>~old(fred))))&
(![X]:((~kind(X)&~patient(X))=>happy(X)))&
((?[X]:((~creative(X)<~>~calm(X))))=>(?[X]:((~quiet(X)|~happy(X)))))&
(((rich(mary)|humble(mary)))<=>(?[X]:((qui... | ~tall(susan) | [
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6897122753686983151561834
% SZS output start Proof for 6897122753686983151561834
9. ! [X0] : ((creative(X0) | brave(X0)) <=> (~rich(X0) <~> creative(X0))) [input p8]
12. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> ~rich(X0)) [input p11]
19. creative(susan) [input p18]
24. ~tall(susan) [input h... | 0 |
If someone is curious then paul is both strong and wise and vice versa. Everyone who is both not calm and not funny is not kind or calm. If someone is creative or not wise then john is patient. If fred is kind or not happy then someone is not strong. If someone is not curious then someone is funny or not patient. If so... | Alice is not humble. | neutral | ((?[X]:(curious(X)))<=>((strong(paul)&wise(paul))))&
(![X]:((~calm(X)&~funny(X))=>(~kind(X)|calm(X))))&
((?[X]:((creative(X)|~wise(X))))=>(patient(john)))&
(((kind(fred)|~happy(fred)))=>(?[X]:(~strong(X))))&
((?[X]:(~curious(X)))=>(?[X]:((funny(X)|~patient(X)))))&
((?[X]:((~generous(X)|strong(X))))=>(?[X]:(creative(X))... | ~humble(alice) | [] | null | 0 |
If susan is both not curious and humble then someone is funny and vice versa.
Everyone who is either funny or patient is patient.
Everyone who is either not calm or not generous is both quiet and not curious.
Everyone who is either not tall or patient is not strong or patient and vice versa.
If john is both creative an... | John is brave. | contradiction | (((~curious(susan)&humble(susan)))<=>(?[X]:(funny(X))))&
(![X]:((funny(X)<~>patient(X))=>patient(X)))&
(![X]:((~calm(X)<~>~generous(X))=>(quiet(X)&~curious(X))))&
(![X]:((~tall(X)<~>patient(X))<=>(~strong(X)|patient(X))))&
(((creative(john)&strong(john)))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>calm(X)... | brave(john) | [
"p0",
"p2",
"p10",
"p15",
"p16",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4661123276031694972572527
% SZS output start Proof for 4661123276031694972572527
1. (humble(susan) & ~curious(susan)) <=> ? [X0] : funny(X0) [input p0]
3. ! [X0] : ((~calm(X0) <~> ~generous(X0)) => (~curious(X0) & quiet(X0))) [input p2]
11. ? [X0] : (brave(X0) <~> calm(X0)) => (~wise(susa... | 0 |
Everyone who is rich or not strong is patient and vice versa.
If someone is both funny and not strong then someone is not happy or old and vice versa.
If mary is quiet then someone is either strong or not strong and vice versa.
Everyone who is curious or not tall is humble or funny.
If someone is calm or rich then some... | Mary is wise. | neutral | (![X]:((rich(X)|~strong(X))<=>patient(X)))&
((?[X]:((funny(X)&~strong(X))))<=>(?[X]:((~happy(X)|old(X)))))&
((quiet(mary))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((curious(X)|~tall(X))=>(humble(X)|funny(X))))&
((?[X]:((calm(X)|rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
((?[X]:((calm(X)<~>generous(X))))=>(?[X]:((wise... | wise(mary) | [] | null | 0 |
If alice is humble then someone is either generous or kind.
Everyone who is both happy and strong is either not wise or not calm.
If someone is not curious or not patient then paul is tall.
Everyone who is either not brave or not generous is both generous and not tall and vice versa.
Everyone who is not wise is either ... | Alice is rich. | contradiction | ((humble(alice))=>(?[X]:((generous(X)<~>kind(X)))))&
(![X]:((happy(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
((?[X]:((~curious(X)|~patient(X))))=>(tall(paul)))&
(![X]:((~brave(X)<~>~generous(X))<=>(generous(X)&~tall(X))))&
(![X]:(~wise(X)<=>(strong(X)<~>happy(X))))&
(![X]:((strong(X)<~>generous(X))=>(tall(X)&humble(X))))... | rich(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5617600415436543562219300
% SZS output start Proof for 5617600415436543562219300
14. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~rich(X0)) [input p13]
24. rich(alice) [input hypothesis]
57. ! [X0] : ((((~curious(X0) | curious(X0)) & (curious(X0) | ~curious(X0))) | rich(X0)) & (~rich(X0)... | 0 |
Everyone who is calm or creative is both not old and not curious.
If someone is old then mary is not creative or kind and vice versa.
Everyone who is not curious is not calm and vice versa.
If someone is happy or not kind then someone is not patient or not strong.
Everyone who is not funny or not old is both not quiet ... | Paul is not tall. | neutral | (![X]:((calm(X)|creative(X))=>(~old(X)&~curious(X))))&
((?[X]:(old(X)))<=>((~creative(mary)|kind(mary))))&
(![X]:(~curious(X)<=>~calm(X)))&
((?[X]:((happy(X)|~kind(X))))=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:((~funny(X)|~old(X))<=>(~quiet(X)&generous(X))))&
(((wise(paul)|~tall(paul)))<=>((curious(john)|~tall(john)... | ~tall(paul) | [] | null | 0 |
If fred is not brave or not tall then mary is wise and vice versa.
If someone is happy or tall then someone is tall.
Everyone who is not curious is both not wise and wise.
If susan is creative or happy then mary is not creative and vice versa.
Everyone who is either patient or tall is both wise and not brave.
If alice ... | Susan is not brave. | contradiction | (((~brave(fred)|~tall(fred)))<=>(wise(mary)))&
((?[X]:((happy(X)|tall(X))))=>(?[X]:(tall(X))))&
(![X]:(~curious(X)=>(~wise(X)&wise(X))))&
(((creative(susan)|happy(susan)))<=>(~creative(mary)))&
(![X]:((patient(X)<~>tall(X))=>(wise(X)&~brave(X))))&
(((funny(alice)&rich(alice)))=>((~funny(alice)&kind(alice))))&
(![X]:((~... | ~brave(susan) | [
"p2",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7105892124749619341553129
% SZS output start Proof for 7105892124749619341553129
3. ! [X0] : (~curious(X0) => (wise(X0) & ~wise(X0))) [input p2]
14. ! [X0] : ((~strong(X0) | old(X0)) <=> ~curious(X0)) [input p13]
21. ~brave(susan) <~> strong(susan) [input p20]
25. ~brave(susan) [input hyp... | 0 |
If alice is not kind or tall then someone is either not calm or not tall and vice versa.
Everyone who is funny or curious is either tall or happy.
Everyone who is both calm and not generous is not wise and vice versa.
Everyone who is both not rich and not generous is rich or calm and vice versa.
Everyone who is either ... | Mary is generous. | contradiction | (((~kind(alice)|tall(alice)))<=>(?[X]:((~calm(X)<~>~tall(X)))))&
(![X]:((funny(X)|curious(X))=>(tall(X)<~>happy(X))))&
(![X]:((calm(X)&~generous(X))<=>~wise(X)))&
(![X]:((~rich(X)&~generous(X))<=>(rich(X)|calm(X))))&
(![X]:((tall(X)<~>~generous(X))<=>(~creative(X)|~kind(X))))&
(((~funny(paul)<~>~creative(paul)))=>(?[X]... | generous(mary) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3817227753108899257974
% SZS output start Proof for 3817227753108899257974
4. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (~kind(X0) | ~creative(X0))) [input p4]
8. ? [X0] : (rich(X0) & kind(X0)) <=> ? [X0] : (~... | 0 |
If someone is either not happy or not funny then someone is both patient and not quiet and vice versa.
Everyone who is either rich or calm is either not happy or patient and vice versa.
If someone is both not patient and not strong then someone is both funny and not wise.
Everyone who is either wise or quiet is curious... | Fred is not humble. | entailment | ((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:((rich(X)<~>calm(X))<=>(~happy(X)<~>patient(X))))&
((?[X]:((~patient(X)&~strong(X))))=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((wise(X)<~>quiet(X))=>curious(X)))&
(![X]:((~old(X)&strong(X))=>(wise(X)|~brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>hum... | ~humble(fred) | [
"p5",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 393393537267530126400195
% SZS output start Proof for 393393537267530126400195
6. ! [X0] : ((~calm(X0) & ~kind(X0)) <=> humble(X0)) [input p5]
13. (kind(fred) & patient(fred)) <=> ? [X0] : (humble(X0) | old(X0)) [input p12]
20. ~tall(susan) & humble(susan) [input p19]
25. humble(fred) [in... | 0 |
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