premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either happy or not curious is creative or not strong.
Everyone who is calm or not curious is happy.
Everyone who is either patient or not patient is either not patient or not brave and vice versa.
If someone is not old then someone is either generous or not curious.
Everyone who is either not patient o... | Susan is rich. | contradiction | (![X]:((happy(X)<~>~curious(X))=>(creative(X)|~strong(X))))&
(![X]:((calm(X)|~curious(X))=>happy(X)))&
(![X]:((patient(X)<~>~patient(X))<=>(~patient(X)<~>~brave(X))))&
((?[X]:(~old(X)))=>(?[X]:((generous(X)<~>~curious(X)))))&
(![X]:((~patient(X)<~>~rich(X))=>(funny(X)&~funny(X))))&
((?[X]:((strong(X)&humble(X))))<=>(?[... | rich(susan) | [
"p1",
"p2",
"p4",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7503696487986386552831199
% SZS output start Proof for 7503696487986386552831199
2. ! [X0] : ((~curious(X0) | calm(X0)) => happy(X0)) [input p1]
3. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~patient(X0) <~> ~brave(X0))) [input p2]
5. ! [X0] : ((~patient(X0) <~> ~rich(X0)) => (~funny(X... | 0 |
Everyone who is kind or calm is happy and vice versa. Everyone who is either not patient or brave is creative and vice versa. If someone is not generous or not wise then lucy is both quiet and not quiet and vice versa. Everyone who is either not strong or creative is either not humble or not creative and vice versa. If... | Alice is kind. | entailment | (![X]:((kind(X)|calm(X))<=>happy(X)))&
(![X]:((~patient(X)<~>brave(X))<=>creative(X)))&
((?[X]:((~generous(X)|~wise(X))))<=>((quiet(lucy)&~quiet(lucy))))&
(![X]:((~strong(X)<~>creative(X))<=>(~humble(X)<~>~creative(X))))&
(((funny(john)&kind(john)))<=>(?[X]:(brave(X))))&
(((~strong(lucy)|patient(lucy)))<=>((humble(paul... | kind(alice) | [
"p0",
"p2",
"p7",
"p8",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5172511045861358648209410
% SZS output start Proof for 5172511045861358648209410
1. ! [X0] : ((calm(X0) | kind(X0)) <=> happy(X0)) [input p0]
3. ? [X0] : (~wise(X0) | ~generous(X0)) <=> (~quiet(lucy) & quiet(lucy)) [input p2]
8. ! [X0] : ((~humble(X0) <~> quiet(X0)) <=> (~brave(X0) | ~hum... | 0 |
Everyone who is rich or humble is both not happy and wise.
Everyone who is happy or not rich is either not patient or not curious and vice versa.
Everyone who is both patient and quiet is both brave and old.
If someone is not humble then john is either not brave or not patient and vice versa.
Everyone who is not humble... | John is not curious. | entailment | (![X]:((rich(X)|humble(X))=>(~happy(X)&wise(X))))&
(![X]:((happy(X)|~rich(X))<=>(~patient(X)<~>~curious(X))))&
(![X]:((patient(X)&quiet(X))=>(brave(X)&old(X))))&
((?[X]:(~humble(X)))<=>((~brave(john)<~>~patient(john))))&
(![X]:((~humble(X)|brave(X))<=>(~wise(X)&~strong(X))))&
(((strong(fred)&~patient(fred)))=>(?[X]:((~... | ~curious(john) | [
"p1",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8835516032619938450888
% SZS output start Proof for 8835516032619938450888
2. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~patient(X0) <~> ~curious(X0))) [input p1]
7. ! [X0] : (wise(X0) <=> (generous(X0) | ~patient(X0))) [input p6]
17. ~rich(john) & ~wise(john) [input p16]
25. curious(john) [... | 0 |
Everyone who is both not kind and kind is creative and vice versa. Everyone who is not humble or brave is either not funny or not brave. Everyone who is old or kind is funny and vice versa. Everyone who is both rich and not tall is not funny or kind and vice versa. Everyone who is both not old and rich is both not rich... | Mary is rich. | entailment | (![X]:((~kind(X)&kind(X))<=>creative(X)))&
(![X]:((~humble(X)|brave(X))=>(~funny(X)<~>~brave(X))))&
(![X]:((old(X)|kind(X))<=>funny(X)))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~ta... | rich(mary) | [
"p0",
"p2",
"p3",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4026349809050727277291805
% SZS output start Proof for 4026349809050727277291805
1. ! [X0] : ((kind(X0) & ~kind(X0)) <=> creative(X0)) [input p0]
3. ! [X0] : ((kind(X0) | old(X0)) <=> funny(X0)) [input p2]
4. ! [X0] : ((~tall(X0) & rich(X0)) <=> (kind(X0) | ~funny(X0))) [input p3]
5. ! [X... | 0 |
If someone is generous or not generous then john is either quiet or old.
If someone is either brave or tall then paul is either not rich or not patient and vice versa.
If someone is funny then someone is either not happy or rich and vice versa.
Everyone who is not kind is creative or not patient and vice versa.
Everyon... | Alice is not humble. | entailment | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>old(john))))&
((?[X]:((brave(X)<~>tall(X))))<=>((~rich(paul)<~>~patient(paul))))&
((?[X]:(funny(X)))<=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(~kind(X)<=>(creative(X)|~patient(X))))&
(![X]:((brave(X)&curious(X))<=>(~quiet(X)&generous(X))))&
(((happy(paul)&funny(paul... | ~humble(alice) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6055852932966073497923489
% SZS output start Proof for 6055852932966073497923489
4. ! [X0] : (~kind(X0) <=> (~patient(X0) | creative(X0))) [input p3]
5. ! [X0] : ((curious(X0) & brave(X0)) <=> (generous(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((~old(X0) <~> generous(X0)) <=> (generous(X... | 0 |
Everyone who is both not generous and strong is not rich or not curious.
Everyone who is both brave and strong is both patient and not humble and vice versa.
If john is either humble or quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who... | Fred is patient. | entailment | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(patient(X)&~humble(X))))&
(((humble(john)<~>quiet(john)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|... | patient(fred) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3014958950706384404658235
% SZS output start Proof for 3014958950706384404658235
2. ! [X0] : ((strong(X0) & brave(X0)) <=> (~humble(X0) & patient(X0))) [input p1]
5. ! [X0] : (patient(X0) <=> (~brave(X0) | ~strong(X0))) [input p4]
24. ~patient(fred) [input hypothesis]
30. ! [X0] : (((stro... | 0 |
If fred is not calm or not old then paul is not generous or tall.
Everyone who is both happy and quiet is strong or not funny and vice versa.
Everyone who is both not wise and strong is not brave and vice versa.
Everyone who is either not creative or creative is either rich or not strong.
If john is tall then someone i... | Paul is not brave. | contradiction | (((~calm(fred)|~old(fred)))=>((~generous(paul)|tall(paul))))&
(![X]:((happy(X)&quiet(X))<=>(strong(X)|~funny(X))))&
(![X]:((~wise(X)&strong(X))<=>~brave(X)))&
(![X]:((~creative(X)<~>creative(X))=>(rich(X)<~>~strong(X))))&
((tall(john))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
((?[X]:((humble(X)&~patient(X))))=>((strong(ma... | ~brave(paul) | [
"p2",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 11482336777071562747308
% SZS output start Proof for 11482336777071562747308
3. ! [X0] : ((strong(X0) & ~wise(X0)) <=> ~brave(X0)) [input p2]
10. ! [X0] : (tall(X0) <=> (~tall(X0) | funny(X0))) [input p9]
15. ! [X0] : (~tall(X0) <=> ~wise(X0)) [input p14]
22. ~brave(paul) [input hypothesi... | 0 |
Everyone who is not funny or creative is both curious and happy and vice versa. Everyone who is kind or not old is either not wise or not generous. If someone is creative then paul is either not wise or patient. Everyone who is either humble or not quiet is both happy and not rich. If john is both not patient and not c... | Paul is wise. | contradiction | (![X]:((~funny(X)|creative(X))<=>(curious(X)&happy(X))))&
(![X]:((kind(X)|~old(X))=>(~wise(X)<~>~generous(X))))&
((?[X]:(creative(X)))=>((~wise(paul)<~>patient(paul))))&
(![X]:((humble(X)<~>~quiet(X))=>(happy(X)&~rich(X))))&
(((~patient(john)&~calm(john)))=>(?[X]:((old(X)&kind(X)))))&
((~calm(alice))=>(?[X]:((happy(X)&... | wise(paul) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p17",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8479612294620397929137076
% SZS output start Proof for 8479612294620397929137076
1. ! [X0] : ((creative(X0) | ~funny(X0)) <=> (happy(X0) & curious(X0))) [input p0]
4. ! [X0] : ((humble(X0) <~> ~quiet(X0)) => (~rich(X0) & happy(X0))) [input p3]
7. ? [X0] : (calm(X0) | strong(X0)) => (rich(... | 0 |
Everyone who is not brave or not patient is either curious or not patient. Everyone who is rich is both rich and not strong. Everyone who is not strong is not curious or not brave and vice versa. Everyone who is either not funny or old is both tall and patient. Everyone who is generous is not funny and vice versa. If s... | Lucy is not rich. | contradiction | (![X]:((~brave(X)|~patient(X))=>(curious(X)<~>~patient(X))))&
(![X]:(rich(X)=>(rich(X)&~strong(X))))&
(![X]:(~strong(X)<=>(~curious(X)|~brave(X))))&
(![X]:((~funny(X)<~>old(X))=>(tall(X)&patient(X))))&
(![X]:(generous(X)<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(old(X))))&
(![X]:((~brave(X)&~kind(X))<=>(creative(X)... | ~rich(lucy) | [
"p3",
"p4",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 390560000421807314539302
% SZS output start Proof for 390560000421807314539302
4. ! [X0] : ((~funny(X0) <~> old(X0)) => (patient(X0) & tall(X0))) [input p3]
5. ! [X0] : (generous(X0) <=> ~funny(X0)) [input p4]
9. ! [X0] : ((kind(X0) <~> brave(X0)) => (curious(X0) & brave(X0))) [input p8]
... | 0 |
If someone is either strong or generous then mary is both creative and not strong and vice versa. If someone is either quiet or not tall then susan is not humble and vice versa. If someone is either not brave or not quiet then someone is either wise or rich and vice versa. Everyone who is either not wise or brave is no... | Fred is strong. | contradiction | ((?[X]:((strong(X)<~>generous(X))))<=>((creative(mary)&~strong(mary))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>(~humble(susan)))&
((?[X]:((~brave(X)<~>~quiet(X))))<=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((~wise(X)<~>brave(X))=>~generous(X)))&
((?[X]:((kind(X)|~old(X))))<=>(?[X]:((funny(X)<~>calm(X)))))&
(((old(lucy)<~>~str... | strong(fred) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8649920817983800986984260
% SZS output start Proof for 8649920817983800986984260
9. ! [X0] : ((rich(X0) | curious(X0)) => (~curious(X0) | ~strong(X0))) [input p8]
10. ! [X0] : ((humble(X0) <~> curious(X0)) <=> ~humble(X0)) [input p9]
24. strong(fred) [input hypothesis]
29. ! [X0] : ((~cur... | 0 |
Everyone who is both creative and not brave is either not generous or not happy.
Everyone who is both not calm and not humble is both generous and not kind and vice versa.
Everyone who is both not rich and old is not humble.
Everyone who is both patient and not old is either not funny or funny and vice versa.
Everyone ... | Mary is kind. | contradiction | (![X]:((creative(X)&~brave(X))=>(~generous(X)<~>~happy(X))))&
(![X]:((~calm(X)&~humble(X))<=>(generous(X)&~kind(X))))&
(![X]:((~rich(X)&old(X))=>~humble(X)))&
(![X]:((patient(X)&~old(X))<=>(~funny(X)<~>funny(X))))&
(![X]:(happy(X)<=>~curious(X)))&
(![X]:((curious(X)|~brave(X))<=>(patient(X)<~>calm(X))))&
(![X]:(~calm(X... | kind(mary) | [
"p1",
"p3",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2055724506858955805997055
% SZS output start Proof for 2055724506858955805997055
2. ! [X0] : ((~humble(X0) & ~calm(X0)) <=> (~kind(X0) & generous(X0))) [input p1]
4. ! [X0] : ((~old(X0) & patient(X0)) <=> (~funny(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (happy(X0) <=> ~curious(X0)) [inp... | 0 |
If john is rich then someone is not happy and vice versa.
If someone is kind or old then susan is not kind or funny.
If someone is generous then someone is quiet or wise.
If alice is either not happy or not patient then someone is either not brave or quiet.
Everyone who is not old or not quiet is both kind and not curi... | Alice is not creative. | neutral | ((rich(john))<=>(?[X]:(~happy(X))))&
((?[X]:((kind(X)|old(X))))=>((~kind(susan)|funny(susan))))&
((?[X]:(generous(X)))=>(?[X]:((quiet(X)|wise(X)))))&
(((~happy(alice)<~>~patient(alice)))=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:((~old(X)|~quiet(X))<=>(kind(X)&~curious(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(curious(X)&qu... | ~creative(alice) | [] | null | 0 |
If mary is either old or not brave then fred is kind or strong and vice versa.
Everyone who is both not curious and rich is not tall and vice versa.
Everyone who is humble or wise is both generous and not strong.
Everyone who is not tall is not happy and vice versa.
If someone is both not brave and not tall then john i... | Mary is not calm. | entailment | (((old(mary)<~>~brave(mary)))<=>((kind(fred)|strong(fred))))&
(![X]:((~curious(X)&rich(X))<=>~tall(X)))&
(![X]:((humble(X)|wise(X))=>(generous(X)&~strong(X))))&
(![X]:(~tall(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~tall(X))))<=>((patient(john)&~wise(john))))&
(![X]:((curious(X)&patient(X))=>(creative(X)&generous(X))))&
(!... | ~calm(mary) | [
"p2",
"p3",
"p9",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3649997562889306559824816
% SZS output start Proof for 3649997562889306559824816
3. ! [X0] : ((wise(X0) | humble(X0)) => (~strong(X0) & generous(X0))) [input p2]
4. ! [X0] : (~tall(X0) <=> ~happy(X0)) [input p3]
10. ? [X0] : (generous(X0) <~> ~wise(X0)) <=> (~quiet(alice) | happy(alice)) ... | 0 |
If alice is either not curious or wise then someone is creative or generous. If someone is curious then someone is either curious or not old. Everyone who is both old and kind is tall or calm. Everyone who is not humble is not humble or not brave and vice versa. Everyone who is either old or not brave is both not brave... | John is old. | contradiction | (((~curious(alice)<~>wise(alice)))=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:(curious(X)))=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((old(X)&kind(X))=>(tall(X)|calm(X))))&
(![X]:(~humble(X)<=>(~humble(X)|~brave(X))))&
(![X]:((old(X)<~>~brave(X))<=>(~brave(X)&old(X))))&
(((~calm(john)&wise(john)))=>(?[X]:((tall(X)<~>... | old(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3132246838305725946473378
% SZS output start Proof for 3132246838305725946473378
5. ! [X0] : ((old(X0) <~> ~brave(X0)) <=> (old(X0) & ~brave(X0))) [input p4]
25. old(john) [input hypothesis]
51. ! [X0] : ((((brave(X0) | ~old(X0)) & (~brave(X0) | old(X0))) | (~old(X0) | brave(X0))) & ((old... | 0 |
If someone is either tall or not calm then someone is not patient or not old and vice versa.
Everyone who is patient is brave or not funny and vice versa.
Everyone who is either not brave or not patient is creative or not rich.
If someone is either happy or not creative then john is both patient and not rich and vice v... | Mary is happy. | neutral | ((?[X]:((tall(X)<~>~calm(X))))<=>(?[X]:((~patient(X)|~old(X)))))&
(![X]:(patient(X)<=>(brave(X)|~funny(X))))&
(![X]:((~brave(X)<~>~patient(X))=>(creative(X)|~rich(X))))&
((?[X]:((happy(X)<~>~creative(X))))<=>((patient(john)&~rich(john))))&
((?[X]:((~humble(X)<~>~creative(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:(... | happy(mary) | [] | null | 0 |
If fred is either not funny or wise then fred is both patient and not funny. If someone is funny or not patient then someone is both strong and not strong and vice versa. If someone is humble then alice is kind or generous. Everyone who is both quiet and strong is not tall or wise. Everyone who is brave or wise is eith... | Susan is not calm. | neutral | (((~funny(fred)<~>wise(fred)))=>((patient(fred)&~funny(fred))))&
((?[X]:((funny(X)|~patient(X))))<=>(?[X]:((strong(X)&~strong(X)))))&
((?[X]:(humble(X)))=>((kind(alice)|generous(alice))))&
(![X]:((quiet(X)&strong(X))=>(~tall(X)|wise(X))))&
(![X]:((brave(X)|wise(X))<=>(rich(X)<~>strong(X))))&
(![X]:((patient(X)|curious(... | ~calm(susan) | [] | null | 0 |
Everyone who is both wise and not kind is either not humble or creative and vice versa. Everyone who is both not kind and humble is either not rich or not quiet and vice versa. Everyone who is not tall is not wise and vice versa. If someone is both brave and not brave then lucy is both not quiet and strong and vice ver... | Fred is not generous. | neutral | (![X]:((wise(X)&~kind(X))<=>(~humble(X)<~>creative(X))))&
(![X]:((~kind(X)&humble(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:(~tall(X)<=>~wise(X)))&
((?[X]:((brave(X)&~brave(X))))<=>((~quiet(lucy)&strong(lucy))))&
((curious(lucy))<=>(?[X]:(happy(X))))&
(![X]:((rich(X)<~>~happy(X))=>(brave(X)<~>~funny(X))))&
(![X]:(happy(X)<... | ~generous(fred) | [] | null | 0 |
If someone is either calm or strong then john is both strong and not tall and vice versa. If someone is either old or not rich then someone is creative. If someone is either not brave or creative then someone is brave. Everyone who is either not quiet or not happy is either quiet or strong and vice versa. If someone is... | John is not rich. | contradiction | ((?[X]:((calm(X)<~>strong(X))))<=>((strong(john)&~tall(john))))&
((?[X]:((old(X)<~>~rich(X))))=>(?[X]:(creative(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(brave(X))))&
(![X]:((~quiet(X)<~>~happy(X))<=>(quiet(X)<~>strong(X))))&
((?[X]:((brave(X)&~happy(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(![X]:((old(X)<~>hum... | ~rich(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3503072355857849815172
% SZS output start Proof for 3503072355857849815172
12. ! [X0] : (~rich(X0) => (~curious(X0) & curious(X0))) [input p11]
25. ~rich(john) [input hypothesis]
35. ! [X0] : ((~curious(X0) & curious(X0)) | rich(X0)) [ennf transformation 12]
137. curious(X0) | rich(X0) [c... | 0 |
If someone is not humble or not tall then alice is both quiet and funny and vice versa.
If mary is generous or not wise then alice is either humble or brave.
Everyone who is creative or funny is not old or rich.
If someone is both not strong and creative then mary is both not wise and creative and vice versa.
If someon... | Mary is not funny. | neutral | ((?[X]:((~humble(X)|~tall(X))))<=>((quiet(alice)&funny(alice))))&
(((generous(mary)|~wise(mary)))=>((humble(alice)<~>brave(alice))))&
(![X]:((creative(X)|funny(X))=>(~old(X)|rich(X))))&
((?[X]:((~strong(X)&creative(X))))<=>((~wise(mary)&creative(mary))))&
((?[X]:((generous(X)<~>~brave(X))))=>(?[X]:((funny(X)|rich(X))))... | ~funny(mary) | [] | null | 0 |
Everyone who is strong is either not tall or not quiet and vice versa.
If someone is either not brave or not generous then someone is both not brave and brave and vice versa.
Everyone who is either not kind or creative is not funny or not quiet.
If someone is both calm and quiet then alice is either generous or quiet a... | Susan is patient. | entailment | (![X]:(strong(X)<=>(~tall(X)<~>~quiet(X))))&
((?[X]:((~brave(X)<~>~generous(X))))<=>(?[X]:((~brave(X)&brave(X)))))&
(![X]:((~kind(X)<~>creative(X))=>(~funny(X)|~quiet(X))))&
((?[X]:((calm(X)&quiet(X))))<=>((generous(alice)<~>quiet(alice))))&
(![X]:((~strong(X)&funny(X))<=>(generous(X)&strong(X))))&
(![X]:((creative(X)&... | patient(susan) | [
"p7",
"p9",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6732304760438734037503899
% SZS output start Proof for 6732304760438734037503899
8. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (~quiet(X0) | kind(X0))) [input p7]
10. (~quiet(susan) & kind(susan)) <=> ? [X0] : (humble(X0) <~> ~wise(X0)) [input p9]
12. ! [X0] : ((~humble(X0) <~> quiet(X0)) ... | 0 |
If paul is both humble and patient then someone is wise.
If lucy is not humble then fred is either not kind or generous.
Everyone who is not calm or not happy is not creative or tall.
Everyone who is not curious is both patient and not strong and vice versa.
If fred is funny then someone is either patient or humble.
If... | Alice is not creative. | neutral | (((humble(paul)&patient(paul)))=>(?[X]:(wise(X))))&
((~humble(lucy))=>((~kind(fred)<~>generous(fred))))&
(![X]:((~calm(X)|~happy(X))=>(~creative(X)|tall(X))))&
(![X]:(~curious(X)<=>(patient(X)&~strong(X))))&
((funny(fred))=>(?[X]:((patient(X)<~>humble(X)))))&
(((happy(lucy)&~quiet(lucy)))=>(?[X]:((happy(X)&calm(X)))))&... | ~creative(alice) | [] | null | 0 |
If mary is not happy or brave then mary is rich.
Everyone who is humble or kind is not calm.
Everyone who is not kind or wise is both curious and funny.
Everyone who is either funny or not funny is either not wise or brave.
Everyone who is humble or quiet is not humble or happy.
Everyone who is not generous is not rich... | Alice is not funny. | contradiction | (((~happy(mary)|brave(mary)))=>(rich(mary)))&
(![X]:((humble(X)|kind(X))=>~calm(X)))&
(![X]:((~kind(X)|wise(X))=>(curious(X)&funny(X))))&
(![X]:((funny(X)<~>~funny(X))=>(~wise(X)<~>brave(X))))&
(![X]:((humble(X)|quiet(X))=>(~humble(X)|happy(X))))&
(![X]:(~generous(X)<=>(~rich(X)|~old(X))))&
(![X]:((rich(X)<~>brave(X))=... | ~funny(alice) | [
"p1",
"p2",
"p5",
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 124949074463708376438343
% SZS output start Proof for 124949074463708376438343
2. ! [X0] : ((kind(X0) | humble(X0)) => ~calm(X0)) [input p1]
3. ! [X0] : ((wise(X0) | ~kind(X0)) => (funny(X0) & curious(X0))) [input p2]
6. ! [X0] : (~generous(X0) <=> (~old(X0) | ~rich(X0))) [input p5]
10. !... | 0 |
Everyone who is funny is quiet. Everyone who is generous or not funny is not quiet or not kind and vice versa. Everyone who is patient or not wise is tall or not wise and vice versa. Everyone who is either kind or generous is either not old or tall and vice versa. Everyone who is not wise is either not patient or stron... | Mary is not patient. | contradiction | (![X]:(funny(X)=>quiet(X)))&
(![X]:((generous(X)|~funny(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(tall(X)|~wise(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~old(X)<~>tall(X))))&
(![X]:(~wise(X)=>(~patient(X)<~>strong(X))))&
((old(susan))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:(~curious(X)<=>(generou... | ~patient(mary) | [
"p2",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1582265831351629508772112
% SZS output start Proof for 1582265831351629508772112
3. ! [X0] : ((~wise(X0) | patient(X0)) <=> (~wise(X0) | tall(X0))) [input p2]
5. ! [X0] : (~wise(X0) => (~patient(X0) <~> strong(X0))) [input p4]
11. ! [X0] : ((quiet(X0) | ~strong(X0)) <=> patient(X0)) [inpu... | 0 |
If someone is not curious or not tall then fred is both not kind and tall.
If paul is both not creative and not strong then john is not generous and vice versa.
Everyone who is both humble and not tall is both humble and kind and vice versa.
Everyone who is both happy and not calm is not humble.
Everyone who is both no... | John is not brave. | entailment | ((?[X]:((~curious(X)|~tall(X))))=>((~kind(fred)&tall(fred))))&
(((~creative(paul)&~strong(paul)))<=>(~generous(john)))&
(![X]:((humble(X)&~tall(X))<=>(humble(X)&kind(X))))&
(![X]:((happy(X)&~calm(X))=>~humble(X)))&
(![X]:((~kind(X)&quiet(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(quiet(X)=>(~strong(X)|humble(X))))&
((?[X]... | ~brave(john) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7261101631012015108878874
% SZS output start Proof for 7261101631012015108878874
8. ! [X0] : (brave(X0) => (generous(X0) & ~happy(X0))) [input p7]
23. kind(john) & happy(john) [input p22]
25. brave(john) [input hypothesis]
36. ! [X0] : ((generous(X0) & ~happy(X0)) | ~brave(X0)) [ennf tran... | 0 |
If someone is not old then susan is not funny.
If mary is patient then someone is not calm and vice versa.
If john is either not happy or rich then someone is old or not strong and vice versa.
Everyone who is not quiet or not happy is both not funny and rich and vice versa.
Everyone who is either not quiet or calm is b... | Mary is patient. | contradiction | ((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(kind(X)&~brave(X))))&
(![X]:((old(X)<~>~strong(X))<=>(patient(X)&~happy(X))))&
(![X]:((~curiou... | patient(mary) | [
"p1",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2975416357288736494812194
% SZS output start Proof for 2975416357288736494812194
2. patient(mary) <=> ? [X0] : ~calm(X0) [input p1]
8. ! [X0] : ((~quiet(X0) & ~calm(X0)) => (~creative(X0) & calm(X0))) [input p7]
9. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~quiet(X0) | ~funny(X0))) [input ... | 0 |
If someone is both humble and not old then paul is both funny and generous and vice versa.
Everyone who is both not quiet and quiet is not creative or generous and vice versa.
If paul is both calm and not quiet then lucy is both not curious and happy.
Everyone who is both not calm and funny is both not patient and not ... | John is not tall. | contradiction | ((?[X]:((humble(X)&~old(X))))<=>((funny(paul)&generous(paul))))&
(![X]:((~quiet(X)&quiet(X))<=>(~creative(X)|generous(X))))&
(((calm(paul)&~quiet(paul)))=>((~curious(lucy)&happy(lucy))))&
(![X]:((~calm(X)&funny(X))=>(~patient(X)&~generous(X))))&
(![X]:(~calm(X)=>(~funny(X)|~tall(X))))&
((?[X]:((generous(X)|~creative(X)... | ~tall(john) | [
"p1",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2214742251329535404355047
% SZS output start Proof for 2214742251329535404355047
2. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (generous(X0) | ~creative(X0))) [input p1]
6. ? [X0] : (~creative(X0) | generous(X0)) <=> ? [X0] : (~creative(X0) | rich(X0)) [input p5]
16. ? [X0] : ~tall(X0) => ? [... | 0 |
Everyone who is either rich or generous is either quiet or not humble and vice versa. If alice is not kind then someone is both kind and creative. If lucy is rich then alice is funny and vice versa. Everyone who is both not quiet and generous is not curious and vice versa. If paul is both calm and funny then someone is... | Mary is quiet. | entailment | (![X]:((rich(X)<~>generous(X))<=>(quiet(X)<~>~humble(X))))&
((~kind(alice))=>(?[X]:((kind(X)&creative(X)))))&
((rich(lucy))<=>(funny(alice)))&
(![X]:((~quiet(X)&generous(X))<=>~curious(X)))&
(((calm(paul)&funny(paul)))=>(?[X]:((~brave(X)|~happy(X)))))&
((?[X]:(strong(X)))<=>((wise(alice)<~>~tall(alice))))&
(![X]:((quie... | quiet(mary) | [
"p3",
"p6",
"p8",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 98230033338856907544633
% SZS output start Proof for 98230033338856907544633
4. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> ~curious(X0)) [input p3]
7. ! [X0] : ((quiet(X0) <~> brave(X0)) <=> creative(X0)) [input p6]
9. (~curious(mary) <~> generous(mary)) <=> ? [X0] : creative(X0) [input p8... | 0 |
If fred is both curious and not happy then someone is funny and vice versa. Everyone who is both quiet and not brave is not humble and vice versa. Everyone who is either old or not tall is both not kind and not brave and vice versa. Everyone who is either not rich or quiet is both funny and not generous. If someone is ... | Paul is not tall. | entailment | (((curious(fred)&~happy(fred)))<=>(?[X]:(funny(X))))&
(![X]:((quiet(X)&~brave(X))<=>~humble(X)))&
(![X]:((old(X)<~>~tall(X))<=>(~kind(X)&~brave(X))))&
(![X]:((~rich(X)<~>quiet(X))=>(funny(X)&~generous(X))))&
((?[X]:(~brave(X)))<=>((patient(paul)&funny(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((calm(X)<~>~kind(X)))))&
(![X... | ~tall(paul) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 113651375021558620676796
% SZS output start Proof for 113651375021558620676796
10. ! [X0] : (~tall(X0) <=> curious(X0)) [input p9]
21. curious(paul) & patient(paul) [input p20]
24. tall(paul) [input hypothesis]
66. ! [X0] : ((~tall(X0) | ~curious(X0)) & (curious(X0) | tall(X0))) [nnf tran... | 0 |
If someone is both quiet and not strong then paul is both not old and not patient. Everyone who is either not strong or not tall is either not calm or not strong. Everyone who is strong is either not old or humble. Everyone who is not creative or not humble is both not old and not tall. If someone is not brave or not s... | Paul is not generous. | entailment | ((?[X]:((quiet(X)&~strong(X))))=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fred))))&
(![X]:((wise(X)<~>strong(X))<=>~... | ~generous(paul) | [
"p3",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3733891482179899241111109
% SZS output start Proof for 3733891482179899241111109
4. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p6]
8. (tall(paul) | ~generous(paul)) <=> (... | 0 |
Everyone who is either not tall or not calm is not patient or calm and vice versa.
If paul is either strong or funny then lucy is funny and vice versa.
Everyone who is either calm or not wise is not wise and vice versa.
Everyone who is tall is either rich or tall.
Everyone who is both funny and not tall is either funny... | Alice is not brave. | contradiction | (![X]:((~tall(X)<~>~calm(X))<=>(~patient(X)|calm(X))))&
(((strong(paul)<~>funny(paul)))<=>(funny(lucy)))&
(![X]:((calm(X)<~>~wise(X))<=>~wise(X)))&
(![X]:(tall(X)=>(rich(X)<~>tall(X))))&
(![X]:((funny(X)&~tall(X))<=>(funny(X)<~>~creative(X))))&
(![X]:((~curious(X)&creative(X))=>(strong(X)&~patient(X))))&
((?[X]:(~funny... | ~brave(alice) | [
"p0",
"p4",
"p5",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 686870873026847126484385
% SZS output start Proof for 686870873026847126484385
1. ! [X0] : ((~tall(X0) <~> ~calm(X0)) <=> (calm(X0) | ~patient(X0))) [input p0]
5. ! [X0] : ((~tall(X0) & funny(X0)) <=> (funny(X0) <~> ~creative(X0))) [input p4]
6. ! [X0] : ((creative(X0) & ~curious(X0)) => ... | 0 |
Everyone who is both patient and humble is tall or brave. Everyone who is wise or not curious is either curious or wise and vice versa. If john is patient then someone is both not happy and generous. Everyone who is old is either not wise or not tall and vice versa. If john is both wise and generous then someone is not... | Lucy is rich. | neutral | (![X]:((patient(X)&humble(X))=>(tall(X)|brave(X))))&
(![X]:((wise(X)|~curious(X))<=>(curious(X)<~>wise(X))))&
((patient(john))=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:(old(X)<=>(~wise(X)<~>~tall(X))))&
(((wise(john)&generous(john)))<=>(?[X]:(~rich(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((~happy(X)<~>~funny(X... | rich(lucy) | [] | null | 0 |
Everyone who is not patient or wise is both old and not rich. Everyone who is not humble or quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. ... | Alice is wise. | contradiction | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(![X]:((~humble(X)|quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(... | wise(alice) | [
"p0",
"p11",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6059307162802049596434626
% SZS output start Proof for 6059307162802049596434626
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (~rich(X0) & old(X0))) [input p0]
12. ! [X0] : ((humble(X0) | brave(X0)) <=> ~old(X0)) [input p11]
16. ! [X0] : (calm(X0) <=> (~brave(X0) | ~humble(X0))) [input p15]
... | 0 |
If mary is not humble or not strong then someone is either wise or happy and vice versa. Everyone who is either kind or not strong is tall and vice versa. Everyone who is kind or rich is not strong or calm. If fred is creative then someone is not funny and vice versa. Everyone who is both not brave and patient is brave... | Susan is not generous. | entailment | (((~humble(mary)|~strong(mary)))<=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((kind(X)<~>~strong(X))<=>tall(X)))&
(![X]:((kind(X)|rich(X))=>(~strong(X)|calm(X))))&
((creative(fred))<=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)&patient(X))<=>brave(X)))&
((?[X]:((patient(X)&brave(X))))=>(~quiet(fred)))&
(![X]:((funny(X)|~calm(X)... | ~generous(susan) | [
"p1",
"p4",
"p6",
"p8",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 600062360579902528631117
% SZS output start Proof for 600062360579902528631117
2. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> tall(X0)) [input p1]
5. ! [X0] : ((patient(X0) & ~brave(X0)) <=> brave(X0)) [input p4]
7. ! [X0] : ((~calm(X0) | funny(X0)) <=> patient(X0)) [input p6]
9. ! [X0] : ((... | 0 |
Everyone who is not creative is not curious.
If someone is either not patient or not funny then paul is not generous.
Everyone who is old is both funny and quiet and vice versa.
Everyone who is not quiet is old.
If lucy is either not wise or quiet then alice is rich and vice versa.
If john is either not tall or funny t... | Paul is not strong. | neutral | (![X]:(~creative(X)=>~curious(X)))&
((?[X]:((~patient(X)<~>~funny(X))))=>(~generous(paul)))&
(![X]:(old(X)<=>(funny(X)&quiet(X))))&
(![X]:(~quiet(X)=>old(X)))&
(((~wise(lucy)<~>quiet(lucy)))<=>(rich(alice)))&
(((~tall(john)<~>funny(john)))=>(?[X]:((~strong(X)|strong(X)))))&
((?[X]:((brave(X)&humble(X))))<=>((calm(alice... | ~strong(paul) | [] | null | 0 |
Everyone who is either wise or calm is wise and vice versa.
If alice is not rich or not generous then susan is either old or not creative and vice versa.
Everyone who is both funny and humble is creative or funny and vice versa.
Everyone who is strong or not humble is either rich or not strong.
Everyone who is both cal... | Paul is old. | neutral | (![X]:((wise(X)<~>calm(X))<=>wise(X)))&
(((~rich(alice)|~generous(alice)))<=>((old(susan)<~>~creative(susan))))&
(![X]:((funny(X)&humble(X))<=>(creative(X)|funny(X))))&
(![X]:((strong(X)|~humble(X))=>(rich(X)<~>~strong(X))))&
(![X]:((calm(X)&quiet(X))<=>~brave(X)))&
(((happy(alice)&strong(alice)))=>((~quiet(fred)&quiet... | old(paul) | [] | null | 0 |
Everyone who is brave or not happy is both not generous and not humble. Everyone who is not rich or not tall is either wise or not strong. Everyone who is old or tall is funny or not curious. If mary is not brave or not creative then someone is not patient or funny. If lucy is strong or creative then alice is either no... | Paul is humble. | contradiction | (![X]:((brave(X)|~happy(X))=>(~generous(X)&~humble(X))))&
(![X]:((~rich(X)|~tall(X))=>(wise(X)<~>~strong(X))))&
(![X]:((old(X)|tall(X))=>(funny(X)|~curious(X))))&
(((~brave(mary)|~creative(mary)))=>(?[X]:((~patient(X)|funny(X)))))&
(((strong(lucy)|creative(lucy)))=>((~happy(alice)<~>brave(alice))))&
(![X]:((curious(X)|... | humble(paul) | [
"p0",
"p5",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7978109350727587707989718
% SZS output start Proof for 7978109350727587707989718
1. ! [X0] : ((~happy(X0) | brave(X0)) => (~humble(X0) & ~generous(X0))) [input p0]
6. ! [X0] : ((calm(X0) | curious(X0)) => (brave(X0) & quiet(X0))) [input p5]
15. ~happy(paul) <=> ? [X0] : quiet(X0) [input p... | 0 |
Everyone who is both quiet and rich is either not rich or quiet.
If someone is either kind or not strong then paul is wise or not curious and vice versa.
Everyone who is either not wise or not quiet is old.
If fred is not patient then alice is both generous and not creative and vice versa.
If someone is not brave or ha... | Susan is not calm. | neutral | (![X]:((quiet(X)&rich(X))=>(~rich(X)<~>quiet(X))))&
((?[X]:((kind(X)<~>~strong(X))))<=>((wise(paul)|~curious(paul))))&
(![X]:((~wise(X)<~>~quiet(X))=>old(X)))&
((~patient(fred))<=>((generous(alice)&~creative(alice))))&
((?[X]:((~brave(X)|happy(X))))<=>(?[X]:(~patient(X))))&
(![X]:((calm(X)|patient(X))=>(curious(X)|~ric... | ~calm(susan) | [] | null | 0 |
If mary is not strong or not old then someone is not quiet and vice versa.
Everyone who is wise or kind is curious and vice versa.
If someone is both calm and tall then someone is both patient and not strong and vice versa.
If someone is funny or not brave then fred is not rich or strong and vice versa.
Everyone who is... | Mary is brave. | entailment | (((~strong(mary)|~old(mary)))<=>(?[X]:(~quiet(X))))&
(![X]:((wise(X)|kind(X))<=>curious(X)))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((patient(X)&~strong(X)))))&
((?[X]:((funny(X)|~brave(X))))<=>((~rich(fred)|strong(fred))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(strong(X)|creat... | brave(mary) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1523795376589359032155522
% SZS output start Proof for 1523795376589359032155522
6. ! [X0] : (generous(X0) <=> (creative(X0) | strong(X0))) [input p5]
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
13. ? [X0] : (~brave(X0) & ~strong(X0)) <=> (~curious(mary) & creative(ma... | 0 |
Everyone who is not wise or curious is both patient and quiet and vice versa.
If mary is either old or not brave then fred is either not happy or calm and vice versa.
Everyone who is either not calm or patient is humble and vice versa.
Everyone who is generous is not rich and vice versa.
If someone is both not creative... | Alice is not calm. | contradiction | (![X]:((~wise(X)|curious(X))<=>(patient(X)&quiet(X))))&
(((old(mary)<~>~brave(mary)))<=>((~happy(fred)<~>calm(fred))))&
(![X]:((~calm(X)<~>patient(X))<=>humble(X)))&
(![X]:(generous(X)<=>~rich(X)))&
((?[X]:((~creative(X)&curious(X))))=>(~rich(mary)))&
((?[X]:((~wise(X)<~>funny(X))))<=>(~old(john)))&
(![X]:((~strong(X)&... | ~calm(alice) | [
"p0",
"p2",
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 837403948658865653318603
% SZS output start Proof for 837403948658865653318603
1. ! [X0] : ((curious(X0) | ~wise(X0)) <=> (quiet(X0) & patient(X0))) [input p0]
3. ! [X0] : ((~calm(X0) <~> patient(X0)) <=> humble(X0)) [input p2]
9. ! [X0] : ((generous(X0) | wise(X0)) <=> (strong(X0) & ~old... | 0 |
If john is both not humble and humble then someone is not calm and vice versa. Everyone who is both not brave and strong is either generous or not old. Everyone who is either strong or not brave is either not calm or happy and vice versa. Everyone who is both quiet and not creative is creative. Everyone who is both not... | Susan is not creative. | contradiction | (((~humble(john)&humble(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)&strong(X))=>(generous(X)<~>~old(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((quiet(X)&~creative(X))=>creative(X)))&
(![X]:((~humble(X)&wise(X))=>(brave(X)&patient(X))))&
((~happy(alice))<=>((rich(lucy)<~>~brave(lucy))))&... | ~creative(susan) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8162304771301038935521768
% SZS output start Proof for 8162304771301038935521768
1. (humble(john) & ~humble(john)) <=> ? [X0] : ~calm(X0) [input p0]
3. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> (~calm(X0) <~> happy(X0))) [input p2]
7. (~quiet(susan) & strong(susan)) <=> ? [X0] : (~kind(X0... | 0 |
Everyone who is both not tall and not calm is not brave or not humble. If fred is both quiet and creative then alice is not rich and vice versa. If someone is happy or not generous then someone is patient and vice versa. Everyone who is not kind or not brave is rich or not tall. Everyone who is funny or humble is rich ... | Mary is creative. | entailment | (![X]:((~tall(X)&~calm(X))=>(~brave(X)|~humble(X))))&
(((quiet(fred)&creative(fred)))<=>(~rich(alice)))&
((?[X]:((happy(X)|~generous(X))))<=>(?[X]:(patient(X))))&
(![X]:((~kind(X)|~brave(X))=>(rich(X)|~tall(X))))&
(![X]:((funny(X)|humble(X))<=>(rich(X)|curious(X))))&
(![X]:(~generous(X)=>(brave(X)|creative(X))))&
(![X]... | creative(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6632929358715379174682235
% SZS output start Proof for 6632929358715379174682235
10. ! [X0] : ((quiet(X0) | ~creative(X0)) => creative(X0)) [input p9]
25. ~creative(mary) [input hypothesis]
37. ! [X0] : (creative(X0) | (~quiet(X0) & creative(X0))) [ennf transformation 10]
92. creative(X0)... | 0 |
Everyone who is both happy and brave is either brave or not curious.
Everyone who is both tall and curious is not happy.
If someone is both happy and not brave then someone is not creative or humble.
If someone is both rich and old then someone is both not kind and tall and vice versa.
If paul is not curious then mary ... | Fred is not quiet. | contradiction | (![X]:((happy(X)&brave(X))=>(brave(X)<~>~curious(X))))&
(![X]:((tall(X)&curious(X))=>~happy(X)))&
((?[X]:((happy(X)&~brave(X))))=>(?[X]:((~creative(X)|humble(X)))))&
((?[X]:((rich(X)&old(X))))<=>(?[X]:((~kind(X)&tall(X)))))&
((~curious(paul))<=>(~brave(mary)))&
((?[X]:((old(X)<~>patient(X))))=>(?[X]:((~kind(X)&~wise(X)... | ~quiet(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8505495965326539966228966
% SZS output start Proof for 8505495965326539966228966
14. ! [X0] : (~generous(X0) <=> (~quiet(X0) & generous(X0))) [input p13]
24. ~quiet(fred) [input hypothesis]
76. ! [X0] : ((~generous(X0) | (quiet(X0) | ~generous(X0))) & ((~quiet(X0) & generous(X0)) | genero... | 0 |
If someone is both rich and happy then someone is not brave and vice versa. If someone is either creative or brave then lucy is both not quiet and tall and vice versa. If someone is calm or not tall then john is both brave and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vic... | Paul is happy. | neutral | ((?[X]:((rich(X)&happy(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((creative(X)<~>brave(X))))<=>((~quiet(lucy)&tall(lucy))))&
((?[X]:((calm(X)|~tall(X))))<=>((brave(john)&tall(john))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![... | happy(paul) | [] | null | 0 |
If someone is both brave and not tall then someone is either not quiet or not rich and vice versa.
If someone is either not curious or not rich then mary is generous and vice versa.
Everyone who is not kind or rich is patient and vice versa.
Everyone who is either not strong or not creative is both generous and not old... | John is not brave. | neutral | ((?[X]:((brave(X)&~tall(X))))<=>(?[X]:((~quiet(X)<~>~rich(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(generous(mary)))&
(![X]:((~kind(X)|rich(X))<=>patient(X)))&
(![X]:((~strong(X)<~>~creative(X))<=>(generous(X)&~old(X))))&
(![X]:((quiet(X)|funny(X))=>(humble(X)|kind(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((creative(X)<~>... | ~brave(john) | [] | null | 0 |
Everyone who is either happy or quiet is rich or not brave.
If lucy is both quiet and funny then alice is not kind and vice versa.
If someone is not humble then lucy is not tall and vice versa.
If paul is patient then john is either rich or not funny.
If someone is not generous or calm then mary is both not wise and no... | Lucy is not brave. | entailment | (![X]:((happy(X)<~>quiet(X))=>(rich(X)|~brave(X))))&
(((quiet(lucy)&funny(lucy)))<=>(~kind(alice)))&
((?[X]:(~humble(X)))<=>(~tall(lucy)))&
((patient(paul))=>((rich(john)<~>~funny(john))))&
((?[X]:((~generous(X)|calm(X))))=>((~wise(mary)&~brave(mary))))&
((?[X]:((~rich(X)<~>~calm(X))))<=>((~happy(paul)&wise(paul))))&
(... | ~brave(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6633207681792545934283893
% SZS output start Proof for 6633207681792545934283893
18. ~strong(lucy) & ~brave(lucy) [input p17]
25. brave(lucy) [input hypothesis]
121. ~brave(lucy) [cnf transformation 18]
130. brave(lucy) [cnf transformation 25]
271. 32 <=> brave(lucy) [avatar definition]
2... | 0 |
Everyone who is patient is humble and vice versa.
Everyone who is quiet is either not rich or brave.
If mary is not creative or rich then someone is either rich or not happy.
Everyone who is both funny and not strong is strong or happy and vice versa.
If paul is wise or brave then someone is either not tall or not curi... | Alice is funny. | entailment | (![X]:(patient(X)<=>humble(X)))&
(![X]:(quiet(X)=>(~rich(X)<~>brave(X))))&
(((~creative(mary)|rich(mary)))=>(?[X]:((rich(X)<~>~happy(X)))))&
(![X]:((funny(X)&~strong(X))<=>(strong(X)|happy(X))))&
(((wise(paul)|brave(paul)))=>(?[X]:((~tall(X)<~>~curious(X)))))&
((?[X]:((~calm(X)<~>creative(X))))<=>(?[X]:((rich(X)&~humbl... | funny(alice) | [
"p3",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 31528037058829665589964
% SZS output start Proof for 31528037058829665589964
4. ! [X0] : ((~strong(X0) & funny(X0)) <=> (happy(X0) | strong(X0))) [input p3]
9. ! [X0] : ((~strong(X0) | wise(X0)) <=> (tall(X0) & creative(X0))) [input p8]
10. ! [X0] : (~tall(X0) <=> (wise(X0) | ~funny(X0)))... | 0 |
Everyone who is either not calm or brave is either not curious or brave.
Everyone who is both old and not funny is either not creative or old.
If someone is either not patient or not quiet then susan is not patient.
Everyone who is both not curious and wise is happy or strong and vice versa.
Everyone who is either not ... | John is creative. | neutral | (![X]:((~calm(X)<~>brave(X))=>(~curious(X)<~>brave(X))))&
(![X]:((old(X)&~funny(X))=>(~creative(X)<~>old(X))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(~patient(susan)))&
(![X]:((~curious(X)&wise(X))<=>(happy(X)|strong(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~quiet(X)&~rich(X))))&
(((~brave(mary)|kind(mary)))<=>((~tall(mar... | creative(john) | [] | null | 0 |
If lucy is both wise and kind then fred is not kind or not curious.
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quie... | Paul is quiet. | contradiction | (((wise(lucy)&kind(lucy)))=>((~kind(fred)|~curious(fred))))&
((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~ric... | quiet(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6659787520830908605223371
% SZS output start Proof for 6659787520830908605223371
11. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~wise(X0) & wise(X0)) [input p10]
20. quiet(paul) [input hypothesis]
23. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X1] : (~wise(X1) & wise(X1)) [rectify ... | 0 |
If someone is either not generous or kind then someone is either old or calm.
Everyone who is not generous is old.
Everyone who is not kind or kind is not happy and vice versa.
If paul is humble or happy then john is old or not patient and vice versa.
Everyone who is either not kind or not old is both not kind and tall... | Alice is kind. | neutral | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:((old(X)<~>calm(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~kind(X)|kind(X))<=>~happy(X)))&
(((humble(paul)|happy(paul)))<=>((old(john)|~patient(john))))&
(![X]:((~kind(X)<~>~old(X))<=>(~kind(X)&tall(X))))&
(![X]:(~happy(X)=>(~humble(X)&quiet(X))))&
(![X]:((~strong(X)&rich(... | kind(alice) | [] | null | 0 |
If someone is not wise then someone is happy or not brave.
If mary is not brave or not wise then someone is quiet.
If fred is not creative then someone is either not curious or humble.
If alice is not patient or happy then someone is not rich and vice versa.
Everyone who is wise or not curious is either wise or brave a... | Alice is not brave. | contradiction | ((?[X]:(~wise(X)))=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(mary)|~wise(mary)))=>(?[X]:(quiet(X))))&
((~creative(fred))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~patient(alice)|happy(alice)))<=>(?[X]:(~rich(X))))&
(![X]:((wise(X)|~curious(X))<=>(wise(X)<~>brave(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~strong(X)<~>quiet(X)... | ~brave(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5577215819758615685399927
% SZS output start Proof for 5577215819758615685399927
10. ! [X0] : ((old(X0) | ~brave(X0)) <=> (~strong(X0) & brave(X0))) [input p9]
23. ~brave(alice) [input hypothesis]
60. ! [X0] : (((old(X0) | ~brave(X0)) | (strong(X0) | ~brave(X0))) & ((~strong(X0) & brave(X... | 0 |
Everyone who is either not patient or not creative is not calm. If alice is both funny and not happy then john is either not tall or not humble. If someone is not rich then someone is strong or not wise. Everyone who is both curious and generous is not generous or not old and vice versa. If someone is not happy or not ... | John is not generous. | contradiction | (![X]:((~patient(X)<~>~creative(X))=>~calm(X)))&
(((funny(alice)&~happy(alice)))=>((~tall(john)<~>~humble(john))))&
((?[X]:(~rich(X)))=>(?[X]:((strong(X)|~wise(X)))))&
(![X]:((curious(X)&generous(X))<=>(~generous(X)|~old(X))))&
((?[X]:((~happy(X)|~calm(X))))<=>((~calm(fred)&wise(fred))))&
(![X]:(generous(X)=>~wise(X)))... | ~generous(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8489502937068260828491317
% SZS output start Proof for 8489502937068260828491317
4. ! [X0] : ((generous(X0) & curious(X0)) <=> (~old(X0) | ~generous(X0))) [input p3]
23. ~generous(john) [input hypothesis]
42. ! [X0] : (((generous(X0) & curious(X0)) | (old(X0) & generous(X0))) & ((~old(X0)... | 0 |
Everyone who is rich or brave is creative. Everyone who is not calm or not creative is either strong or not tall. If someone is either kind or humble then paul is funny or not curious. Everyone who is humble is not old or strong and vice versa. Everyone who is both not calm and not creative is not quiet and vice versa.... | Paul is tall. | neutral | (![X]:((rich(X)|brave(X))=>creative(X)))&
(![X]:((~calm(X)|~creative(X))=>(strong(X)<~>~tall(X))))&
((?[X]:((kind(X)<~>humble(X))))=>((funny(paul)|~curious(paul))))&
(![X]:(humble(X)<=>(~old(X)|strong(X))))&
(![X]:((~calm(X)&~creative(X))<=>~quiet(X)))&
(![X]:((creative(X)&~generous(X))<=>(~kind(X)<~>~wise(X))))&
((?[X... | tall(paul) | [] | null | 0 |
Everyone who is either not calm or not wise is either tall or old.
If fred is not old or not happy then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or not humble is both not old and not tall.
If someone is not brave or not str... | Lucy is wise. | contradiction | (![X]:((~calm(X)<~>~wise(X))=>(tall(X)<~>old(X))))&
(((~old(fred)|~happy(fred)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fred))))&
(![X]:((wise(X)<~>strong(X))<=>~calm(X... | wise(lucy) | [
"p0",
"p3",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 39390196325890793250942
% SZS output start Proof for 39390196325890793250942
1. ! [X0] : ((~calm(X0) <~> ~wise(X0)) => (tall(X0) <~> old(X0))) [input p0]
4. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious... | 0 |
If someone is not tall or tall then alice is happy or not quiet.
If someone is curious then someone is either not brave or not strong and vice versa.
Everyone who is both not rich and not funny is not creative or not humble and vice versa.
If lucy is both kind and calm then lucy is not happy and vice versa.
If susan is... | Mary is not creative. | contradiction | ((?[X]:((~tall(X)|tall(X))))=>((happy(alice)|~quiet(alice))))&
((?[X]:(curious(X)))<=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:((~rich(X)&~funny(X))<=>(~creative(X)|~humble(X))))&
(((kind(lucy)&calm(lucy)))<=>(~happy(lucy)))&
(((~generous(susan)|~calm(susan)))=>(?[X]:(~strong(X))))&
((?[X]:((~tall(X)<~>brave(X))))=>((... | ~creative(mary) | [
"p2",
"p6",
"p7",
"p10",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7141030125084044328702653
% SZS output start Proof for 7141030125084044328702653
3. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (~humble(X0) | ~creative(X0))) [input p2]
7. ! [X0] : (~calm(X0) => ~curious(X0)) [input p6]
8. ! [X0] : ((tall(X0) & ~brave(X0)) <=> (humble(X0) <~> rich(X0))) [inpu... | 0 |
Everyone who is strong or not generous is humble.
Everyone who is not creative or not quiet is both not patient and tall.
Everyone who is both calm and not tall is either not calm or not strong.
Everyone who is funny is not patient or not humble and vice versa.
If alice is both tall and not brave then susan is not old ... | John is wise. | neutral | (![X]:((strong(X)|~generous(X))=>humble(X)))&
(![X]:((~creative(X)|~quiet(X))=>(~patient(X)&tall(X))))&
(![X]:((calm(X)&~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(funny(X)<=>(~patient(X)|~humble(X))))&
(((tall(alice)&~brave(alice)))<=>((~old(susan)|~quiet(susan))))&
((?[X]:((creative(X)|humble(X))))<=>((~wise(paul)<~... | wise(john) | [] | null | 0 |
Everyone who is either not strong or not patient is happy.
If someone is either wise or not funny then alice is both not quiet and generous and vice versa.
Everyone who is wise is not quiet or not rich.
If mary is strong then susan is old.
If alice is humble or not old then someone is either kind or humble.
Everyone wh... | John is not old. | contradiction | (![X]:((~strong(X)<~>~patient(X))=>happy(X)))&
((?[X]:((wise(X)<~>~funny(X))))<=>((~quiet(alice)&generous(alice))))&
(![X]:(wise(X)=>(~quiet(X)|~rich(X))))&
((strong(mary))=>(old(susan)))&
(((humble(alice)|~old(alice)))=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((humble(X)&~generous(X))<=>(~brave(X)<~>patient(X))))&
(((~... | ~old(john) | [
"p5",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5980926487011109500783113
% SZS output start Proof for 5980926487011109500783113
6. ! [X0] : ((~generous(X0) & humble(X0)) <=> (~brave(X0) <~> patient(X0))) [input p5]
8. ! [X0] : ((~brave(X0) & ~creative(X0)) <=> (~creative(X0) <~> ~brave(X0))) [input p7]
9. ! [X0] : ((~rich(X0) | calm(X... | 0 |
If john is either not creative or kind then alice is either generous or patient and vice versa.
Everyone who is either kind or not funny is either wise or not strong and vice versa.
Everyone who is kind or old is either not wise or not patient.
Everyone who is not rich is not curious and vice versa.
If susan is either ... | John is not strong. | neutral | (((~creative(john)<~>kind(john)))<=>((generous(alice)<~>patient(alice))))&
(![X]:((kind(X)<~>~funny(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((kind(X)|old(X))=>(~wise(X)<~>~patient(X))))&
(![X]:(~rich(X)<=>~curious(X)))&
(((generous(susan)<~>creative(susan)))=>(?[X]:((~wise(X)<~>~quiet(X)))))&
(![X]:(~calm(X)<=>(~calm(X)|... | ~strong(john) | [] | null | 0 |
Everyone who is not calm is both wise and not rich. Everyone who is either not quiet or funny is patient. If mary is both not calm and not creative then alice is tall or not patient and vice versa. If someone is either not strong or not rich then mary is both not generous and not tall and vice versa. If someone is eith... | Mary is not patient. | contradiction | (![X]:(~calm(X)=>(wise(X)&~rich(X))))&
(![X]:((~quiet(X)<~>funny(X))=>patient(X)))&
(((~calm(mary)&~creative(mary)))<=>((tall(alice)|~patient(alice))))&
((?[X]:((~strong(X)<~>~rich(X))))<=>((~generous(mary)&~tall(mary))))&
((?[X]:((brave(X)<~>strong(X))))=>(?[X]:((~rich(X)&~curious(X)))))&
(((old(susan)<~>~funny(susan)... | ~patient(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2507723795047861480265148
% SZS output start Proof for 2507723795047861480265148
16. (~quiet(mary) & patient(mary)) <=> (~patient(mary) | ~brave(mary)) [input p15]
25. ~patient(mary) [input hypothesis]
76. ((~quiet(mary) & patient(mary)) | (patient(mary) & brave(mary))) & ((~patient(mary)... | 0 |
Everyone who is patient or kind is either not patient or generous and vice versa.
Everyone who is not humble is curious or creative and vice versa.
If mary is both not wise and generous then susan is not kind.
Everyone who is not wise or kind is not humble and vice versa.
Everyone who is either curious or not generous ... | Paul is not patient. | contradiction | (![X]:((patient(X)|kind(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(~humble(X)<=>(curious(X)|creative(X))))&
(((~wise(mary)&generous(mary)))=>(~kind(susan)))&
(![X]:((~wise(X)|kind(X))<=>~humble(X)))&
(![X]:((curious(X)<~>~generous(X))=>~tall(X)))&
(![X]:((wise(X)&~happy(X))=>~funny(X)))&
(![X]:((patient(X)&~funny(X))=... | ~patient(paul) | [
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7871840636220417520946089
% SZS output start Proof for 7871840636220417520946089
8. (~patient(john) & patient(john)) <=> ? [X0] : wise(X0) [input p7]
11. ! [X0] : ((~wise(X0) & brave(X0)) <=> (brave(X0) <~> funny(X0))) [input p10]
19. patient(paul) <~> funny(paul) [input p18]
23. ~patient... | 0 |
Everyone who is curious is not generous and vice versa. Everyone who is strong is either quiet or patient and vice versa. If someone is kind or not curious then john is not happy. Everyone who is either generous or not generous is not wise and vice versa. If someone is funny or old then john is calm and vice versa. Eve... | Mary is brave. | contradiction | (![X]:(curious(X)<=>~generous(X)))&
(![X]:(strong(X)<=>(quiet(X)<~>patient(X))))&
((?[X]:((kind(X)|~curious(X))))=>(~happy(john)))&
(![X]:((generous(X)<~>~generous(X))<=>~wise(X)))&
((?[X]:((funny(X)|old(X))))<=>(calm(john)))&
(![X]:(~old(X)<=>(rich(X)|~rich(X))))&
(![X]:((~tall(X)<~>calm(X))=>~quiet(X)))&
((?[X]:(funn... | brave(mary) | [
"p5",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1247908226454405727755412
% SZS output start Proof for 1247908226454405727755412
6. ! [X0] : (~old(X0) <=> (~rich(X0) | rich(X0))) [input p5]
8. ? [X0] : funny(X0) => (~brave(mary) & calm(mary)) [input p7]
19. ~funny(lucy) <~> ~old(lucy) [input p18]
25. brave(mary) [input hypothesis]
29. ... | 0 |
If someone is not humble or not creative then alice is either not creative or not quiet and vice versa.
Everyone who is either not tall or brave is both not quiet and not rich.
If john is both old and not calm then someone is either kind or not curious and vice versa.
Everyone who is not funny or not curious is calm an... | Susan is tall. | entailment | ((?[X]:((~humble(X)|~creative(X))))<=>((~creative(alice)<~>~quiet(alice))))&
(![X]:((~tall(X)<~>brave(X))=>(~quiet(X)&~rich(X))))&
(((old(john)&~calm(john)))<=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((~funny(X)|~curious(X))<=>calm(X)))&
(![X]:((tall(X)&humble(X))<=>(calm(X)<~>~tall(X))))&
(![X]:((~brave(X)|~humble(X)... | tall(susan) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2416128914068088835764188
% SZS output start Proof for 2416128914068088835764188
5. ! [X0] : ((humble(X0) & tall(X0)) <=> (calm(X0) <~> ~tall(X0))) [input p4]
17. ~rich(susan) & ~calm(susan) [input p16]
25. ~tall(susan) [input hypothesis]
45. ! [X0] : (((humble(X0) & tall(X0)) | ((calm(X0... | 0 |
Everyone who is not funny or not brave is not quiet or humble.
Everyone who is curious is either tall or not generous.
If john is both not wise and wise then someone is either happy or not humble.
Everyone who is not patient is either not kind or not creative and vice versa.
If someone is both not wise and not rich the... | Susan is wise. | neutral | (![X]:((~funny(X)|~brave(X))=>(~quiet(X)|humble(X))))&
(![X]:(curious(X)=>(tall(X)<~>~generous(X))))&
(((~wise(john)&wise(john)))=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:(~patient(X)<=>(~kind(X)<~>~creative(X))))&
((?[X]:((~wise(X)&~rich(X))))=>(~tall(john)))&
(![X]:((~strong(X)<~>~quiet(X))<=>(generous(X)&~curious(X... | wise(susan) | [] | null | 0 |
Everyone who is either not rich or patient is not curious or happy and vice versa. Everyone who is either generous or funny is patient and vice versa. Everyone who is not patient or happy is tall and vice versa. If alice is both not old and not tall then someone is either patient or humble and vice versa. Everyone who ... | Mary is humble. | contradiction | (![X]:((~rich(X)<~>patient(X))<=>(~curious(X)|happy(X))))&
(![X]:((generous(X)<~>funny(X))<=>patient(X)))&
(![X]:((~patient(X)|happy(X))<=>tall(X)))&
(((~old(alice)&~tall(alice)))<=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((~happy(X)&~calm(X))=>(generous(X)|brave(X))))&
(![X]:((~calm(X)|happy(X))<=>(~creative(X)<~>~q... | humble(mary) | [
"p0",
"p1",
"p2",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8468650732517492748224439
% SZS output start Proof for 8468650732517492748224439
1. ! [X0] : ((~rich(X0) <~> patient(X0)) <=> (happy(X0) | ~curious(X0))) [input p0]
2. ! [X0] : ((generous(X0) <~> funny(X0)) <=> patient(X0)) [input p1]
3. ! [X0] : ((happy(X0) | ~patient(X0)) <=> tall(X0)) ... | 0 |
Everyone who is not tall is quiet. If alice is happy then someone is calm or not wise and vice versa. If paul is not strong then lucy is not tall. Everyone who is creative is funny or old and vice versa. If someone is old or not happy then alice is both patient and strong and vice versa. If someone is either strong or ... | Paul is humble. | contradiction | (![X]:(~tall(X)=>quiet(X)))&
((happy(alice))<=>(?[X]:((calm(X)|~wise(X)))))&
((~strong(paul))=>(~tall(lucy)))&
(![X]:(creative(X)<=>(funny(X)|old(X))))&
((?[X]:((old(X)|~happy(X))))<=>((patient(alice)&strong(alice))))&
((?[X]:((strong(X)<~>humble(X))))<=>((~creative(paul)&happy(paul))))&
(![X]:((~creative(X)<~>generous... | humble(paul) | [
"p3",
"p4",
"p5",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 320011988426272651994836
% SZS output start Proof for 320011988426272651994836
4. ! [X0] : (creative(X0) <=> (old(X0) | funny(X0))) [input p3]
5. ? [X0] : (~happy(X0) | old(X0)) <=> (strong(alice) & patient(alice)) [input p4]
6. ? [X0] : (strong(X0) <~> humble(X0)) <=> (happy(paul) & ~cre... | 0 |
Everyone who is not rich is both not humble and not tall.
If someone is either patient or not brave then someone is both creative and wise and vice versa.
If someone is not strong or happy then mary is either not strong or old and vice versa.
If john is not rich or not funny then mary is both brave and not curious and ... | Alice is calm. | neutral | (![X]:(~rich(X)=>(~humble(X)&~tall(X))))&
((?[X]:((patient(X)<~>~brave(X))))<=>(?[X]:((creative(X)&wise(X)))))&
((?[X]:((~strong(X)|happy(X))))<=>((~strong(mary)<~>old(mary))))&
(((~rich(john)|~funny(john)))<=>((brave(mary)&~curious(mary))))&
((?[X]:((tall(X)<~>~wise(X))))<=>((~funny(paul)<~>~strong(paul))))&
((?[X]:((... | calm(alice) | [] | null | 0 |
Everyone who is calm or not rich is either quiet or not curious.
Everyone who is not kind is both not wise and not curious and vice versa.
Everyone who is either old or not happy is both not wise and kind.
Everyone who is happy is curious or not curious.
Everyone who is strong or not generous is both patient and not ha... | Paul is not generous. | contradiction | (![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~curious(X))))&
(![X]:((old(X)<~>~happy(X))=>(~wise(X)&kind(X))))&
(![X]:(happy(X)=>(curious(X)|~curious(X))))&
(![X]:((strong(X)|~generous(X))=>(patient(X)&~happy(X))))&
(![X]:((~wise(X)&generous(X))<=>(patient(X)<~>~kind(X))))&
(![X]:(... | ~generous(paul) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p10",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 64618723427143458591679
% SZS output start Proof for 64618723427143458591679
2. ! [X0] : (~kind(X0) <=> (~curious(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~happy(X0)) => (kind(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~generous(X0) | strong(X0)) => (~happy(X0) & patient(X0)... | 0 |
Everyone who is either kind or not humble is not creative.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not quiet or not ... | Mary is calm. | entailment | (![X]:((kind(X)<~>~humble(X))=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((... | calm(mary) | [
"p1",
"p3",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 487452236540524787819046
% SZS output start Proof for 487452236540524787819046
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p3]
11. ? [X0] : (~rich(X0) | ~kind(X0)) => (patient(mary) & ~rich(mary)) [input p1... | 0 |
Everyone who is both not tall and not quiet is either kind or not curious.
If someone is old or not generous then someone is not happy or not kind and vice versa.
If mary is both wise and creative then alice is creative or happy and vice versa.
If paul is either wise or curious then john is not rich or not calm and vic... | Susan is not humble. | contradiction | (![X]:((~tall(X)&~quiet(X))=>(kind(X)<~>~curious(X))))&
((?[X]:((old(X)|~generous(X))))<=>(?[X]:((~happy(X)|~kind(X)))))&
(((wise(mary)&creative(mary)))<=>((creative(alice)|happy(alice))))&
(((wise(paul)<~>curious(paul)))<=>((~rich(john)|~calm(john))))&
((?[X]:((~funny(X)|~generous(X))))=>(curious(alice)))&
(((patient(... | ~humble(susan) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 85196147063011802341967
% SZS output start Proof for 85196147063011802341967
12. ! [X0] : ((~strong(X0) | ~humble(X0)) => generous(X0)) [input p11]
17. ~generous(susan) [input p16]
25. ~humble(susan) [input hypothesis]
35. ! [X0] : (generous(X0) | (strong(X0) & humble(X0))) [ennf transfor... | 0 |
Everyone who is rich is wise or not kind and vice versa.
Everyone who is both not patient and humble is not patient or old.
Everyone who is either calm or humble is either creative or rich.
If someone is old or creative then someone is both old and wise.
Everyone who is not happy or not quiet is happy and vice versa.
I... | Mary is not old. | neutral | (![X]:(rich(X)<=>(wise(X)|~kind(X))))&
(![X]:((~patient(X)&humble(X))=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>humble(X))=>(creative(X)<~>rich(X))))&
((?[X]:((old(X)|creative(X))))=>(?[X]:((old(X)&wise(X)))))&
(![X]:((~happy(X)|~quiet(X))<=>happy(X)))&
((?[X]:((~humble(X)<~>patient(X))))=>(?[X]:((~old(X)|kind(X)))))&... | ~old(mary) | [] | null | 0 |
Everyone who is not old or wise is either not kind or not brave and vice versa.
If john is either creative or not old then mary is calm or not generous and vice versa.
Everyone who is either creative or not calm is either curious or not kind.
Everyone who is both not tall and not old is either not brave or brave and vi... | Alice is not funny. | contradiction | (![X]:((~old(X)|wise(X))<=>(~kind(X)<~>~brave(X))))&
(((creative(john)<~>~old(john)))<=>((calm(mary)|~generous(mary))))&
(![X]:((creative(X)<~>~calm(X))=>(curious(X)<~>~kind(X))))&
(![X]:((~tall(X)&~old(X))<=>(~brave(X)<~>brave(X))))&
((?[X]:((funny(X)|~curious(X))))<=>((funny(fred)&~curious(fred))))&
(![X]:((rich(X)<~... | ~funny(alice) | [
"p3",
"p8",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3457863043656457829232680
% SZS output start Proof for 3457863043656457829232680
4. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~brave(X0) <~> brave(X0))) [input p3]
9. (old(susan) & quiet(susan)) <=> ? [X0] : (wise(X0) | ~rich(X0)) [input p8]
10. ! [X0] : (happy(X0) <=> (rich(X0) | strong(X0))... | 0 |
Everyone who is both not generous and not humble is kind.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or kind and ... | Lucy is not happy. | contradiction | (![X]:((~generous(X)&~humble(X))=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~stron... | ~happy(lucy) | [
"p4",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4259188105101443576522870
% SZS output start Proof for 4259188105101443576522870
5. ! [X0] : ((happy(X0) & wise(X0)) <=> (kind(X0) | ~old(X0))) [input p4]
10. ! [X0] : ((~happy(X0) <~> tall(X0)) <=> (~funny(X0) & kind(X0))) [input p9]
20. ~brave(lucy) & ~tall(lucy) [input p19]
25. ~happy(... | 0 |
Everyone who is either not curious or not humble is either funny or not rich and vice versa.
Everyone who is wise is either not wise or not strong and vice versa.
Everyone who is either not tall or not rich is both not generous and not patient and vice versa.
If fred is either not funny or humble then someone is both n... | John is not humble. | contradiction | (![X]:((~curious(X)<~>~humble(X))<=>(funny(X)<~>~rich(X))))&
(![X]:(wise(X)<=>(~wise(X)<~>~strong(X))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(![X]:((quiet(X)&~humble(X))=>(~generou... | ~humble(john) | [
"p1",
"p5",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3294719304664155984194841
% SZS output start Proof for 3294719304664155984194841
2. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
6. ! [X0] : ((~humble(X0) & quiet(X0)) => (old(X0) & ~generous(X0))) [input p5]
9. ! [X0] : ((old(X0) | strong(X0)) <=> (strong(X0) <~> ~curio... | 0 |
Everyone who is not old is both not kind and not funny and vice versa. Everyone who is both not old and not quiet is either not tall or funny. If someone is tall or not curious then mary is not humble. Everyone who is calm or not brave is not funny and vice versa. Everyone who is quiet is curious and vice versa. If som... | Susan is funny. | contradiction | (![X]:(~old(X)<=>(~kind(X)&~funny(X))))&
(![X]:((~old(X)&~quiet(X))=>(~tall(X)<~>funny(X))))&
((?[X]:((tall(X)|~curious(X))))=>(~humble(mary)))&
(![X]:((calm(X)|~brave(X))<=>~funny(X)))&
(![X]:(quiet(X)<=>curious(X)))&
((?[X]:((~strong(X)|humble(X))))<=>(?[X]:((~happy(X)&~quiet(X)))))&
(![X]:((strong(X)|~wise(X))=>(qui... | funny(susan) | [
"p3",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7784127115170201627582698
% SZS output start Proof for 7784127115170201627582698
4. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~funny(X0)) [input p3]
12. ! [X0] : (~happy(X0) => ~brave(X0)) [input p11]
19. calm(susan) | ~happy(susan) [input p18]
25. funny(susan) [input hypothesis]
35. ! [X0] :... | 0 |
If someone is funny or old then paul is both not strong and not generous and vice versa. Everyone who is both funny and patient is either strong or not wise and vice versa. If someone is not rich then john is creative or not calm and vice versa. If fred is calm then fred is brave. If paul is not patient or not funny th... | Mary is brave. | contradiction | ((?[X]:((funny(X)|old(X))))<=>((~strong(paul)&~generous(paul))))&
(![X]:((funny(X)&patient(X))<=>(strong(X)<~>~wise(X))))&
((?[X]:(~rich(X)))<=>((creative(john)|~calm(john))))&
((calm(fred))=>(brave(fred)))&
(((~patient(paul)|~funny(paul)))<=>(happy(fred)))&
((?[X]:((creative(X)|funny(X))))=>((wise(susan)<~>~brave(susa... | brave(mary) | [
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9146924945923462664174160
% SZS output start Proof for 9146924945923462664174160
8. ? [X0] : patient(X0) => ~brave(mary) [input p7]
19. patient(mary) [input p18]
25. brave(mary) [input hypothesis]
31. ~brave(mary) | ! [X0] : ~patient(X0) [ennf transformation 8]
110. ~brave(mary) | ~patien... | 0 |
Everyone who is either not kind or tall is both not tall and not kind.
If alice is not brave or old then john is both not creative and not funny.
If someone is not tall then someone is both old and rich.
If someone is both not old and not wise then lucy is both not tall and not calm and vice versa.
If john is either ki... | Alice is funny. | entailment | (![X]:((~kind(X)<~>tall(X))=>(~tall(X)&~kind(X))))&
(((~brave(alice)|old(alice)))=>((~creative(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((old(X)&rich(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>((~tall(lucy)&~calm(lucy))))&
(((kind(john)<~>~calm(john)))=>((~quiet(susan)&~creative(susan))))&
(![X]:(~generous(X)=>~cal... | funny(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2851143726305425828191801
% SZS output start Proof for 2851143726305425828191801
8. ! [X0] : ((brave(X0) <~> ~funny(X0)) <=> brave(X0)) [input p7]
24. ~funny(alice) [input hypothesis]
52. ! [X0] : ((((funny(X0) | ~brave(X0)) & (~funny(X0) | brave(X0))) | ~brave(X0)) & (brave(X0) | ((brave... | 0 |
Everyone who is not patient is either patient or tall.
Everyone who is either creative or not brave is both wise and not humble and vice versa.
If someone is not quiet then someone is either not strong or generous.
If someone is either not humble or funny then mary is not strong or tall and vice versa.
Everyone who is ... | Susan is not rich. | contradiction | (![X]:(~patient(X)=>(patient(X)<~>tall(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(wise(X)&~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~f... | ~rich(susan) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3036073842848329730824887
% SZS output start Proof for 3036073842848329730824887
2. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~humble(X0) & wise(X0))) [input p1]
4. ? [X0] : (~humble(X0) <~> funny(X0)) <=> (tall(mary) | ~strong(mary)) [input p3]
5. ! [X0] : ((creative(X0) | funny(X0)) ... | 0 |
If mary is not quiet or not old then someone is not generous or strong and vice versa. Everyone who is either not wise or tall is either not funny or patient and vice versa. If john is both not humble and not curious then john is brave. Everyone who is strong is both funny and wise and vice versa. If someone is brave o... | Mary is old. | entailment | (((~quiet(mary)|~old(mary)))<=>(?[X]:((~generous(X)|strong(X)))))&
(![X]:((~wise(X)<~>tall(X))<=>(~funny(X)<~>patient(X))))&
(((~humble(john)&~curious(john)))=>(brave(john)))&
(![X]:(strong(X)<=>(funny(X)&wise(X))))&
((?[X]:((brave(X)|creative(X))))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:((~strong(X)|~creative(X))=>o... | old(mary) | [
"p3",
"p5",
"p6",
"p9",
"p10",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 237495476755508270799330
% SZS output start Proof for 237495476755508270799330
4. ! [X0] : (strong(X0) <=> (wise(X0) & funny(X0))) [input p3]
6. ! [X0] : ((~creative(X0) | ~strong(X0)) => old(X0)) [input p5]
7. (tall(mary) & wise(mary)) <=> ? [X0] : (~curious(X0) | ~quiet(X0)) [input p6]
... | 0 |
If john is not generous then someone is not strong or not brave. If fred is either not rich or not patient then someone is kind. If someone is not calm then alice is both not kind and not generous. If john is either strong or not happy then mary is both not wise and not curious and vice versa. Everyone who is curious o... | Alice is not happy. | entailment | ((~generous(john))=>(?[X]:((~strong(X)|~brave(X)))))&
(((~rich(fred)<~>~patient(fred)))=>(?[X]:(kind(X))))&
((?[X]:(~calm(X)))=>((~kind(alice)&~generous(alice))))&
(((strong(john)<~>~happy(john)))<=>((~wise(mary)&~curious(mary))))&
(![X]:((curious(X)|strong(X))=>(~brave(X)<~>~old(X))))&
(![X]:(~brave(X)<=>(kind(X)<~>ha... | ~happy(alice) | [
"p2",
"p4",
"p5",
"p7",
"p10",
"p13",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4972737190399682240509636
% SZS output start Proof for 4972737190399682240509636
3. ? [X0] : ~calm(X0) => (~generous(alice) & ~kind(alice)) [input p2]
5. ! [X0] : ((strong(X0) | curious(X0)) => (~brave(X0) <~> ~old(X0))) [input p4]
6. ! [X0] : (~brave(X0) <=> (kind(X0) <~> happy(X0))) [in... | 0 |
Everyone who is both not happy and quiet is both not tall and curious. Everyone who is rich or tall is not brave. Everyone who is generous is old and vice versa. Everyone who is not brave is not old or not happy. If someone is both not funny and old then someone is not curious. Everyone who is rich is either humble or ... | Susan is not quiet. | entailment | (![X]:((~happy(X)&quiet(X))=>(~tall(X)&curious(X))))&
(![X]:((rich(X)|tall(X))=>~brave(X)))&
(![X]:(generous(X)<=>old(X)))&
(![X]:(~brave(X)=>(~old(X)|~happy(X))))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(~curious(X))))&
(![X]:(rich(X)=>(humble(X)<~>wise(X))))&
(![X]:(patient(X)<=>(~calm(X)|humble(X))))&
(((creative(lucy)... | ~quiet(susan) | [
"p0",
"p1",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3703466500955749642939855
% SZS output start Proof for 3703466500955749642939855
1. ! [X0] : ((quiet(X0) & ~happy(X0)) => (curious(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((tall(X0) | rich(X0)) => ~brave(X0)) [input p1]
8. (~creative(lucy) & creative(lucy)) <=> ? [X0] : (~tall(X0) & brav... | 0 |
Everyone who is both old and rich is both quiet and kind. Everyone who is funny is happy or not humble. If someone is either not rich or brave then someone is either not strong or generous and vice versa. Everyone who is both humble and not funny is either curious or not quiet. If mary is old or tall then lucy is eithe... | Paul is funny. | entailment | (![X]:((old(X)&rich(X))=>(quiet(X)&kind(X))))&
(![X]:(funny(X)=>(happy(X)|~humble(X))))&
((?[X]:((~rich(X)<~>brave(X))))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((humble(X)&~funny(X))=>(curious(X)<~>~quiet(X))))&
(((old(mary)|tall(mary)))<=>((~generous(lucy)<~>tall(lucy))))&
(![X]:((~happy(X)|kind(X))<=>(creative... | funny(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5381061911510948178150764
% SZS output start Proof for 5381061911510948178150764
12. ! [X0] : ((brave(X0) | ~funny(X0)) => (~quiet(X0) & funny(X0))) [input p11]
23. ~funny(paul) [input hypothesis]
36. ! [X0] : ((~quiet(X0) & funny(X0)) | (~brave(X0) & funny(X0))) [ennf transformation 12]
... | 0 |
Everyone who is tall or not creative is both not quiet and not patient and vice versa. If john is not quiet then lucy is generous or not strong and vice versa. If fred is not patient or not kind then paul is tall and vice versa. Everyone who is not humble is either kind or not funny and vice versa. Everyone who is old ... | Alice is old. | neutral | (![X]:((tall(X)|~creative(X))<=>(~quiet(X)&~patient(X))))&
((~quiet(john))<=>((generous(lucy)|~strong(lucy))))&
(((~patient(fred)|~kind(fred)))<=>(tall(paul)))&
(![X]:(~humble(X)<=>(kind(X)<~>~funny(X))))&
(![X]:((old(X)|~humble(X))=>(happy(X)|kind(X))))&
(![X]:(~generous(X)<=>~strong(X)))&
(![X]:(rich(X)=>(tall(X)&~cu... | old(alice) | [] | null | 0 |
Everyone who is both brave and not curious is not humble or not creative.
If lucy is both creative and patient then someone is patient or not tall and vice versa.
If someone is both not funny and creative then someone is brave.
If someone is both not kind and not strong then fred is not generous and vice versa.
If john... | Mary is not funny. | contradiction | (![X]:((brave(X)&~curious(X))=>(~humble(X)|~creative(X))))&
(((creative(lucy)&patient(lucy)))<=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((~funny(X)&creative(X))))=>(?[X]:(brave(X))))&
((?[X]:((~kind(X)&~strong(X))))<=>(~generous(fred)))&
(((wise(john)<~>creative(john)))=>((wise(john)<~>funny(john))))&
(![X]:((~wise(X)|... | ~funny(mary) | [
"p2",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4474025312272706973599477
% SZS output start Proof for 4474025312272706973599477
3. ? [X0] : (creative(X0) & ~funny(X0)) => ? [X0] : brave(X0) [input p2]
6. ! [X0] : ((~old(X0) | ~wise(X0)) <=> ~brave(X0)) [input p5]
7. ! [X0] : ((~kind(X0) <~> wise(X0)) <=> (old(X0) | ~calm(X0))) [input ... | 0 |
Everyone who is either happy or curious is curious or humble and vice versa.
Everyone who is happy or humble is both not calm and not strong and vice versa.
If paul is both not creative and not rich then someone is not old.
If fred is patient or not creative then someone is either not old or not quiet.
If someone is bo... | Lucy is not quiet. | neutral | (![X]:((happy(X)<~>curious(X))<=>(curious(X)|humble(X))))&
(![X]:((happy(X)|humble(X))<=>(~calm(X)&~strong(X))))&
(((~creative(paul)&~rich(paul)))=>(?[X]:(~old(X))))&
(((patient(fred)|~creative(fred)))=>(?[X]:((~old(X)<~>~quiet(X)))))&
((?[X]:((~humble(X)&~kind(X))))=>(~curious(lucy)))&
((?[X]:(~strong(X)))=>(?[X]:(cur... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Paul is not humble. | entailment | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | ~humble(paul) | [
"p4",
"p5",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 322319513966439588799587
% SZS output start Proof for 322319513966439588799587
5. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p4]
6. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p5]
7. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [input p6... | 0 |
If someone is patient then someone is either not funny or old.
Everyone who is happy or tall is either not curious or creative.
Everyone who is both tall and creative is not humble.
Everyone who is old or not wise is either not funny or patient.
If someone is creative or not curious then someone is both old and wise an... | Paul is patient. | entailment | ((?[X]:(patient(X)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((old(X)&wise(X)))))&
((rich(paul))=>((~wise(john)&old(john))))&
(... | patient(paul) | [
"p2",
"p3",
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4362775934619561897786237
% SZS output start Proof for 4362775934619561897786237
3. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p2]
4. ! [X0] : ((~wise(X0) | old(X0)) => (~funny(X0) <~> patient(X0))) [input p3]
9. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [input p8]... | 0 |
If susan is both generous and old then someone is either not humble or quiet and vice versa. Everyone who is not quiet is both not tall and rich and vice versa. Everyone who is not rich or not kind is either not calm or quiet and vice versa. Everyone who is generous is not happy or humble. Everyone who is kind or not s... | John is calm. | contradiction | (((generous(susan)&old(susan)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)&rich(X))))&
(![X]:((~rich(X)|~kind(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(generous(X)=>(~happy(X)|humble(X))))&
(![X]:((kind(X)|~strong(X))<=>(~patient(X)&humble(X))))&
(![X]:(wise(X)=>(curious(X)|generous(X))))&
(![X]:((ri... | calm(john) | [
"p0",
"p1",
"p4",
"p10",
"p11",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 809289610691576428283026
% SZS output start Proof for 809289610691576428283026
1. (old(susan) & generous(susan)) <=> ? [X0] : (~humble(X0) <~> quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> (rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | kind(X0)) <=> (humble(X0) & ~pati... | 0 |
If someone is both not calm and not creative then susan is tall and vice versa.
Everyone who is both curious and kind is patient or happy.
Everyone who is either quiet or humble is happy.
If someone is both quiet and not rich then mary is either patient or not quiet and vice versa.
If someone is either not strong or wi... | Mary is not humble. | entailment | ((?[X]:((~calm(X)&~creative(X))))<=>(tall(susan)))&
(![X]:((curious(X)&kind(X))=>(patient(X)|happy(X))))&
(![X]:((quiet(X)<~>humble(X))=>happy(X)))&
((?[X]:((quiet(X)&~rich(X))))<=>((patient(mary)<~>~quiet(mary))))&
((?[X]:((~strong(X)<~>wise(X))))=>((~happy(susan)&generous(susan))))&
(![X]:((~generous(X)|~wise(X))=>(~... | ~humble(mary) | [
"p1",
"p5",
"p6",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1702633079104900595615590
% SZS output start Proof for 1702633079104900595615590
2. ! [X0] : ((kind(X0) & curious(X0)) => (happy(X0) | patient(X0))) [input p1]
6. ! [X0] : ((~wise(X0) | ~generous(X0)) => (brave(X0) & ~happy(X0))) [input p5]
7. ! [X0] : ((generous(X0) <~> funny(X0)) <=> (~... | 0 |
Everyone who is tall is both kind and strong. Everyone who is either not brave or curious is both patient and brave. Everyone who is both happy and patient is not brave. Everyone who is brave or rich is not creative and vice versa. If alice is either not generous or not brave then someone is both wise and not brave and... | John is wise. | neutral | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~brave(X)<~>curious(X))=>(patient(X)&brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~curious(lucy)|quiet(lucy))))&... | wise(john) | [] | null | 0 |
Everyone who is tall is kind or not strong.
If susan is both not brave and happy then someone is not curious.
If someone is either creative or not rich then paul is generous or wise and vice versa.
If susan is not curious then john is either not rich or generous and vice versa.
Everyone who is not funny or old is calm.... | John is not funny. | entailment | (![X]:(tall(X)=>(kind(X)|~strong(X))))&
(((~brave(susan)&happy(susan)))=>(?[X]:(~curious(X))))&
((?[X]:((creative(X)<~>~rich(X))))<=>((generous(paul)|wise(paul))))&
((~curious(susan))<=>((~rich(john)<~>generous(john))))&
(![X]:((~funny(X)|old(X))=>calm(X)))&
(((~calm(john)<~>~creative(john)))<=>(?[X]:((~brave(X)<~>gene... | ~funny(john) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 819226835521969305217282
% SZS output start Proof for 819226835521969305217282
9. ! [X0] : ((~old(X0) | happy(X0)) => (~funny(X0) & quiet(X0))) [input p8]
13. ! [X0] : (~old(X0) <=> (happy(X0) <~> ~happy(X0))) [input p12]
25. funny(john) [input hypothesis]
33. ! [X0] : ((~funny(X0) & quie... | 0 |
Everyone who is either patient or not strong is both not generous and not humble.
If someone is both not rich and not strong then mary is not calm.
If susan is both not rich and not creative then john is not brave or humble.
If someone is either old or not brave then john is brave and vice versa.
If someone is either n... | Paul is not kind. | neutral | (![X]:((patient(X)<~>~strong(X))=>(~generous(X)&~humble(X))))&
((?[X]:((~rich(X)&~strong(X))))=>(~calm(mary)))&
(((~rich(susan)&~creative(susan)))=>((~brave(john)|humble(john))))&
((?[X]:((old(X)<~>~brave(X))))<=>(brave(john)))&
((?[X]:((~creative(X)<~>kind(X))))<=>((~wise(john)|~calm(john))))&
(![X]:(~humble(X)<=>(tal... | ~kind(paul) | [] | null | 0 |
If paul is not quiet then mary is patient. Everyone who is both old and brave is rich and vice versa. If someone is creative then fred is generous and vice versa. If john is either rich or creative then alice is rich and vice versa. Everyone who is either not creative or not quiet is not humble or patient. If alice is ... | Lucy is not old. | entailment | ((~quiet(paul))=>(patient(mary)))&
(![X]:((old(X)&brave(X))<=>rich(X)))&
((?[X]:(creative(X)))<=>(generous(fred)))&
(((rich(john)<~>creative(john)))<=>(rich(alice)))&
(![X]:((~creative(X)<~>~quiet(X))=>(~humble(X)|patient(X))))&
(((happy(alice)|creative(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((generous(X)|strong(X))<=>(... | ~old(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1248210921816629854587284
% SZS output start Proof for 1248210921816629854587284
11. (~generous(lucy) | generous(lucy)) <=> (humble(lucy) & ~old(lucy)) [input p10]
25. old(lucy) [input hypothesis]
55. ((~generous(lucy) | generous(lucy)) | (~humble(lucy) | old(lucy))) & ((humble(lucy) & ~o... | 0 |
Everyone who is not rich or not creative is either quiet or rich and vice versa. If alice is both not patient and not old then someone is old or wise and vice versa. Everyone who is generous or not creative is either not brave or wise. If mary is not tall or not creative then paul is wise or not funny and vice versa. E... | Alice is not creative. | entailment | (![X]:((~rich(X)|~creative(X))<=>(quiet(X)<~>rich(X))))&
(((~patient(alice)&~old(alice)))<=>(?[X]:((old(X)|wise(X)))))&
(![X]:((generous(X)|~creative(X))=>(~brave(X)<~>wise(X))))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~cal... | ~creative(alice) | [
"p1",
"p2",
"p5",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 518637546312793050158760
% SZS output start Proof for 518637546312793050158760
2. (~old(alice) & ~patient(alice)) <=> ? [X0] : (wise(X0) | old(X0)) [input p1]
3. ! [X0] : ((~creative(X0) | generous(X0)) => (~brave(X0) <~> wise(X0))) [input p2]
6. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~pat... | 0 |
If fred is both brave and not strong then fred is either curious or not tall. Everyone who is happy or not patient is both tall and not wise. Everyone who is not brave or generous is either not strong or patient and vice versa. Everyone who is not humble is not brave or generous and vice versa. Everyone who is both qui... | Lucy is calm. | neutral | (((brave(fred)&~strong(fred)))=>((curious(fred)<~>~tall(fred))))&
(![X]:((happy(X)|~patient(X))=>(tall(X)&~wise(X))))&
(![X]:((~brave(X)|generous(X))<=>(~strong(X)<~>patient(X))))&
(![X]:(~humble(X)<=>(~brave(X)|generous(X))))&
(![X]:((quiet(X)&~wise(X))<=>~generous(X)))&
((?[X]:((~old(X)|rich(X))))=>(~humble(paul)))&
... | calm(lucy) | [] | null | 0 |
If someone is either not kind or strong then someone is not generous or not strong and vice versa. Everyone who is both humble and not creative is both not quiet and not generous and vice versa. Everyone who is either happy or strong is either not kind or not humble and vice versa. Everyone who is kind or not tall is e... | Susan is not curious. | neutral | ((?[X]:((~kind(X)<~>strong(X))))<=>(?[X]:((~generous(X)|~strong(X)))))&
(![X]:((humble(X)&~creative(X))<=>(~quiet(X)&~generous(X))))&
(![X]:((happy(X)<~>strong(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)<~>rich(X))))&
(((~rich(mary)|wise(mary)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
(![X]:((quiet... | ~curious(susan) | [] | null | 0 |
Everyone who is generous or not kind is both not curious and wise and vice versa.
Everyone who is either not happy or not creative is generous or kind and vice versa.
Everyone who is generous or happy is either not strong or not wise.
If mary is both generous and not creative then paul is both not tall and not creative... | Paul is brave. | neutral | (![X]:((generous(X)|~kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>(generous(X)|kind(X))))&
(![X]:((generous(X)|happy(X))=>(~strong(X)<~>~wise(X))))&
(((generous(mary)&~creative(mary)))<=>((~tall(paul)&~creative(paul))))&
(![X]:((~happy(X)&~humble(X))<=>(~brave(X)|rich(X))))&
(![X]:((strong(X)... | brave(paul) | [] | null | 0 |
Everyone who is both curious and strong is either curious or not strong and vice versa.
If someone is not quiet then john is either not strong or not wise.
Everyone who is generous is both not creative and not calm.
If paul is either tall or not wise then someone is both not funny and quiet and vice versa.
If someone i... | Susan is brave. | entailment | (![X]:((curious(X)&strong(X))<=>(curious(X)<~>~strong(X))))&
((?[X]:(~quiet(X)))=>((~strong(john)<~>~wise(john))))&
(![X]:(generous(X)=>(~creative(X)&~calm(X))))&
(((tall(paul)<~>~wise(paul)))<=>(?[X]:((~funny(X)&quiet(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(((~creative(paul)... | brave(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 213087337501645863981724
% SZS output start Proof for 213087337501645863981724
22. ~funny(susan) & brave(susan) [input p21]
25. ~brave(susan) [input hypothesis]
157. brave(susan) [cnf transformation 22]
161. ~brave(susan) [cnf transformation 25]
361. $false [subsumption resolution 161,157... | 0 |
Everyone who is strong or not kind is both rich and tall.
Everyone who is patient or not humble is not rich.
If someone is quiet or curious then someone is patient or happy.
If someone is either tall or patient then mary is either not funny or not tall and vice versa.
If someone is both funny and brave then mary is eit... | Susan is wise. | contradiction | (![X]:((strong(X)|~kind(X))=>(rich(X)&tall(X))))&
(![X]:((patient(X)|~humble(X))=>~rich(X)))&
((?[X]:((quiet(X)|curious(X))))=>(?[X]:((patient(X)|happy(X)))))&
((?[X]:((tall(X)<~>patient(X))))<=>((~funny(mary)<~>~tall(mary))))&
((?[X]:((funny(X)&brave(X))))=>((happy(mary)<~>wise(mary))))&
(((~curious(fred)<~>kind(fred)... | wise(susan) | [
"p0",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8375396971145766330778158
% SZS output start Proof for 8375396971145766330778158
1. ! [X0] : ((~kind(X0) | strong(X0)) => (tall(X0) & rich(X0))) [input p0]
8. ! [X0] : ((wise(X0) | patient(X0)) <=> (strong(X0) & happy(X0))) [input p7]
10. ! [X0] : (happy(X0) => (~tall(X0) & happy(X0))) [i... | 0 |
Everyone who is humble or not old is not calm or happy.
Everyone who is both curious and not brave is either not funny or not strong and vice versa.
Everyone who is not calm or not generous is either not strong or not patient.
If someone is either not old or not curious then someone is both not kind and not curious.
Ev... | Mary is not quiet. | contradiction | (![X]:((humble(X)|~old(X))=>(~calm(X)|happy(X))))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:((~calm(X)|~generous(X))=>(~strong(X)<~>~patient(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:((~happy(X)<~>creative(X))=>(~kind(X)<~>~generous(X))))&
(![X]:((tall(X)... | ~quiet(mary) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4152084191085044632669295
% SZS output start Proof for 4152084191085044632669295
3. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
8. ! [X0] : (generous(X0) <=> (old(X0) & brave(X0))) [input p7]
10. ! [X0] : ((~kind(X0) <~> ~funny(X0)) <=> funny(X0)) [... | 0 |
If fred is not brave or creative then fred is both not humble and old.
Everyone who is not creative or quiet is not wise and vice versa.
Everyone who is both patient and not old is not kind and vice versa.
Everyone who is not strong or happy is both funny and not wise and vice versa.
If someone is both not generous and... | Alice is not wise. | entailment | (((~brave(fred)|creative(fred)))=>((~humble(fred)&old(fred))))&
(![X]:((~creative(X)|quiet(X))<=>~wise(X)))&
(![X]:((patient(X)&~old(X))<=>~kind(X)))&
(![X]:((~strong(X)|happy(X))<=>(funny(X)&~wise(X))))&
((?[X]:((~generous(X)&~brave(X))))<=>(~brave(alice)))&
(![X]:(~curious(X)<=>(tall(X)<~>old(X))))&
((?[X]:((~calm(X)... | ~wise(alice) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8490590701620860553544898
% SZS output start Proof for 8490590701620860553544898
4. ! [X0] : ((happy(X0) | ~strong(X0)) <=> (~wise(X0) & funny(X0))) [input p3]
10. ! [X0] : ((~happy(X0) | ~generous(X0)) => ~wise(X0)) [input p9]
25. wise(alice) [input hypothesis]
31. ! [X0] : (~wise(X0) | ... | 0 |
Everyone who is generous is not humble and vice versa. Everyone who is not brave is old. If fred is either creative or not wise then someone is not kind and vice versa. Everyone who is both brave and wise is both rich and tall. If someone is both not kind and tall then fred is old or curious. If lucy is not tall then s... | Paul is quiet. | entailment | (![X]:(generous(X)<=>~humble(X)))&
(![X]:(~brave(X)=>old(X)))&
(((creative(fred)<~>~wise(fred)))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)&wise(X))=>(rich(X)&tall(X))))&
((?[X]:((~kind(X)&tall(X))))=>((old(fred)|curious(fred))))&
((~tall(lucy))<=>(?[X]:((~humble(X)<~>kind(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>~quiet(X)... | quiet(paul) | [
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2758343934705065736969125
% SZS output start Proof for 2758343934705065736969125
7. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~brave(X0) | ~strong(X0))) [input p8]
13. ! [X0] : ((strong(X0) | ~old(X0)) => (old(X0) & quiet(X0)... | 0 |
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