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 not quiet or not tall is either not brave or not calm.
Everyone who is either not creative or generous is not patient and vice versa.
If someone is not creative or not happy then alice is both not strong and not brave.
If someone is both not old and not creative then susan is both not wise and cr... | Susan is not curious. | neutral | (![X]:((~quiet(X)<~>~tall(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>~patient(X)))&
((?[X]:((~creative(X)|~happy(X))))=>((~strong(alice)&~brave(alice))))&
((?[X]:((~old(X)&~creative(X))))<=>((~wise(susan)&creative(susan))))&
(![X]:((~kind(X)&~humble(X))=>~rich(X)))&
(![X]:(~generous(X)<=>(kind... | ~curious(susan) | [] | null | 0 |
Everyone who is either strong or quiet is not creative or not strong and vice versa.
If fred is quiet or patient then someone is not wise.
If someone is either calm or not rich then john is old or calm.
Everyone who is both old and brave is calm or not strong and vice versa.
If alice is kind or not rich then alice is b... | Alice is rich. | entailment | (![X]:((strong(X)<~>quiet(X))<=>(~creative(X)|~strong(X))))&
(((quiet(fred)|patient(fred)))=>(?[X]:(~wise(X))))&
((?[X]:((calm(X)<~>~rich(X))))=>((old(john)|calm(john))))&
(![X]:((old(X)&brave(X))<=>(calm(X)|~strong(X))))&
(((kind(alice)|~rich(alice)))<=>((~curious(alice)&rich(alice))))&
(![X]:((happy(X)<~>old(X))<=>~h... | rich(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7242311473998702267984089
% SZS output start Proof for 7242311473998702267984089
5. (~rich(alice) | kind(alice)) <=> (rich(alice) & ~curious(alice)) [input p4]
24. ~rich(alice) [input hypothesis]
42. ((~rich(alice) | kind(alice)) | (~rich(alice) | curious(alice))) & ((rich(alice) & ~curio... | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Fred is tall. | contradiction | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | tall(fred) | [
"p1",
"p2",
"p4",
"p7",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1590933024372190686502473
% SZS output start Proof for 1590933024372190686502473
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ... | 0 |
Everyone who is not kind or not wise is either not creative or not old.
Everyone who is curious is both brave and happy and vice versa.
Everyone who is not kind or not rich is either kind or not humble.
If john is both not happy and strong then someone is happy or kind.
Everyone who is not brave is tall or not funny an... | Paul is tall. | neutral | (![X]:((~kind(X)|~wise(X))=>(~creative(X)<~>~old(X))))&
(![X]:(curious(X)<=>(brave(X)&happy(X))))&
(![X]:((~kind(X)|~rich(X))=>(kind(X)<~>~humble(X))))&
(((~happy(john)&strong(john)))=>(?[X]:((happy(X)|kind(X)))))&
(![X]:(~brave(X)<=>(tall(X)|~funny(X))))&
(![X]:(generous(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~generous(X... | tall(paul) | [] | null | 0 |
Everyone who is not patient is both not creative and not tall and vice versa.
If someone is happy or calm then someone is both calm and creative and vice versa.
Everyone who is either not strong or kind is not funny or not curious.
If someone is either not generous or curious then john is rich.
Everyone who is either n... | Fred is not strong. | neutral | (![X]:(~patient(X)<=>(~creative(X)&~tall(X))))&
((?[X]:((happy(X)|calm(X))))<=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((~strong(X)<~>kind(X))=>(~funny(X)|~curious(X))))&
((?[X]:((~generous(X)<~>curious(X))))=>(rich(john)))&
(![X]:((~humble(X)<~>kind(X))<=>(~creative(X)|old(X))))&
(![X]:((~brave(X)|~curious(X))<=>(calm(... | ~strong(fred) | [] | null | 0 |
If someone is calm then paul is not patient or old.
If someone is not happy then someone is either not quiet or not curious and vice versa.
Everyone who is both not wise and not patient is both not rich and wise and vice versa.
If paul is rich or not brave then someone is brave or humble and vice versa.
Everyone who is... | Mary is not creative. | neutral | ((?[X]:(calm(X)))=>((~patient(paul)|old(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(~rich(X)&wise(X))))&
(((rich(paul)|~brave(paul)))<=>(?[X]:((brave(X)|humble(X)))))&
(![X]:((~funny(X)|~quiet(X))<=>quiet(X)))&
(![X]:((~humble(X)&~curious(X))=>(humble(X)<~>funny... | ~creative(mary) | [] | null | 0 |
Everyone who is either not generous or not rich is not wise and vice versa.
Everyone who is not kind is either not happy or curious and vice versa.
If someone is wise then someone is not funny or not quiet and vice versa.
Everyone who is not calm is not wise and vice versa.
Everyone who is quiet is both not tall and ha... | Paul is not quiet. | neutral | (![X]:((~generous(X)<~>~rich(X))<=>~wise(X)))&
(![X]:(~kind(X)<=>(~happy(X)<~>curious(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~funny(X)|~quiet(X)))))&
(![X]:(~calm(X)<=>~wise(X)))&
(![X]:(quiet(X)=>(~tall(X)&happy(X))))&
((?[X]:((brave(X)<~>~kind(X))))<=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((calm(X)<~>creative(X))=>~k... | ~quiet(paul) | [] | null | 0 |
Everyone who is not funny is not tall and vice versa. If someone is not curious then fred is both quiet and wise. Everyone who is either not kind or curious is not humble. If lucy is funny then someone is either not happy or kind and vice versa. If someone is both not tall and not happy then alice is both generous and ... | John is not curious. | neutral | (![X]:(~funny(X)<=>~tall(X)))&
((?[X]:(~curious(X)))=>((quiet(fred)&wise(fred))))&
(![X]:((~kind(X)<~>curious(X))=>~humble(X)))&
((funny(lucy))<=>(?[X]:((~happy(X)<~>kind(X)))))&
((?[X]:((~tall(X)&~happy(X))))<=>((generous(alice)&~rich(alice))))&
(![X]:((quiet(X)|~brave(X))<=>(generous(X)&~happy(X))))&
((?[X]:((calm(X)... | ~curious(john) | [] | null | 0 |
If mary is either curious or funny then someone is either calm or not humble.
Everyone who is patient is not curious or not brave.
Everyone who is not humble or not funny is either tall or old.
If lucy is not brave then alice is either humble or patient and vice versa.
If someone is tall or not patient then paul is eit... | Mary is strong. | neutral | (((curious(mary)<~>funny(mary)))=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:(patient(X)=>(~curious(X)|~brave(X))))&
(![X]:((~humble(X)|~funny(X))=>(tall(X)<~>old(X))))&
((~brave(lucy))<=>((humble(alice)<~>patient(alice))))&
((?[X]:((tall(X)|~patient(X))))=>((~happy(paul)<~>happy(paul))))&
((?[X]:((~calm(X)|generous(X))))... | strong(mary) | [] | null | 0 |
If lucy is either not brave or old then paul is both patient and strong.
Everyone who is brave is happy.
If someone is not generous then someone is old and vice versa.
Everyone who is not old or not rich is either not humble or kind.
If someone is either not funny or not calm then alice is both not happy and not calm a... | Lucy is not brave. | entailment | (((~brave(lucy)<~>old(lucy)))=>((patient(paul)&strong(paul))))&
(![X]:(brave(X)=>happy(X)))&
((?[X]:(~generous(X)))<=>(?[X]:(old(X))))&
(![X]:((~old(X)|~rich(X))=>(~humble(X)<~>kind(X))))&
((?[X]:((~funny(X)<~>~calm(X))))<=>((~happy(alice)&~calm(alice))))&
(![X]:((curious(X)|~calm(X))<=>(funny(X)&~brave(X))))&
((?[X]:(... | ~brave(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 849647201170581706251656
% SZS output start Proof for 849647201170581706251656
18. ~curious(lucy) & ~brave(lucy) [input p17]
25. brave(lucy) [input hypothesis]
132. ~brave(lucy) [cnf transformation 18]
145. brave(lucy) [cnf transformation 25]
151. 2 <=> brave(lucy) [avatar definition]
285... | 0 |
Everyone who is both not old and not curious is either rich or not happy and vice versa.
Everyone who is either patient or not old is patient and vice versa.
If susan is not calm then someone is not old and vice versa.
Everyone who is both not curious and rich is not quiet.
If paul is funny or calm then mary is both no... | John is not brave. | entailment | (![X]:((~old(X)&~curious(X))<=>(rich(X)<~>~happy(X))))&
(![X]:((patient(X)<~>~old(X))<=>patient(X)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~generous(mary)&tall(mary))))&
((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:(~creative(X))))&
((kind(john... | ~brave(john) | [
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 840237702813246880627083
% SZS output start Proof for 840237702813246880627083
15. ? [X0] : brave(X0) <=> (~curious(paul) <~> ~quiet(paul)) [input p14]
19. quiet(paul) <~> ~curious(paul) [input p18]
22. brave(john) [input hypothesis]
61. (? [X0] : brave(X0) | ((~curious(paul) | quiet(paul... | 0 |
If susan is not wise then someone is not creative or patient. Everyone who is both generous and not happy is both not calm and not creative. Everyone who is both generous and humble is either not tall or kind and vice versa. Everyone who is kind is not funny or not wise and vice versa. Everyone who is not funny or curi... | Alice is not wise. | entailment | ((~wise(susan))=>(?[X]:((~creative(X)|patient(X)))))&
(![X]:((generous(X)&~happy(X))=>(~calm(X)&~creative(X))))&
(![X]:((generous(X)&humble(X))<=>(~tall(X)<~>kind(X))))&
(![X]:(kind(X)<=>(~funny(X)|~wise(X))))&
(![X]:((~funny(X)|curious(X))<=>(old(X)|~curious(X))))&
(((wise(susan)|~patient(susan)))=>((~strong(alice)<~>... | ~wise(alice) | [
"p2",
"p3",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7299548892992953332931018
% SZS output start Proof for 7299548892992953332931018
3. ! [X0] : ((humble(X0) & generous(X0)) <=> (~tall(X0) <~> kind(X0))) [input p2]
4. ! [X0] : (kind(X0) <=> (~wise(X0) | ~funny(X0))) [input p3]
8. ~generous(susan) <=> ? [X0] : (creative(X0) <~> tall(X0)) [i... | 0 |
Everyone who is either calm or not rich is either humble or not curious and vice versa. Everyone who is both not strong and not brave is both not brave and rich. If susan is rich then someone is either wise or not creative and vice versa. If susan is humble or patient then someone is both happy and not curious. If some... | Lucy is not curious. | neutral | (![X]:((calm(X)<~>~rich(X))<=>(humble(X)<~>~curious(X))))&
(![X]:((~strong(X)&~brave(X))=>(~brave(X)&rich(X))))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:((creative(X)|~patient... | ~curious(lucy) | [] | null | 0 |
If someone is not kind or not happy then someone is not humble.
If john is not happy or funny then paul is both strong and not old.
If someone is either old or rich then someone is both not wise and quiet and vice versa.
Everyone who is both not curious and calm is either curious or not strong.
Everyone who is quiet is... | John is not happy. | neutral | ((?[X]:((~kind(X)|~happy(X))))=>(?[X]:(~humble(X))))&
(((~happy(john)|funny(john)))=>((strong(paul)&~old(paul))))&
((?[X]:((old(X)<~>rich(X))))<=>(?[X]:((~wise(X)&quiet(X)))))&
(![X]:((~curious(X)&calm(X))=>(curious(X)<~>~strong(X))))&
(![X]:(quiet(X)=>(~brave(X)|~wise(X))))&
(![X]:((~calm(X)&~humble(X))<=>(~humble(X)|... | ~happy(john) | [] | null | 0 |
Everyone who is funny or not tall is either strong or not generous and vice versa.
Everyone who is funny is not kind or not calm.
If paul is either patient or not curious then someone is creative or strong.
If someone is both patient and not strong then someone is quiet and vice versa.
If lucy is not strong then fred i... | Lucy is not happy. | neutral | (![X]:((funny(X)|~tall(X))<=>(strong(X)<~>~generous(X))))&
(![X]:(funny(X)=>(~kind(X)|~calm(X))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy)))<=>(?[X]:(k... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not humble or not rich is either not rich or not strong and vice versa. Everyone who is not rich is not calm or strong and vice versa. If someone is not old or strong then someone is either kind or not quiet. Everyone who is creative is not tall. Everyone who is both not calm and not kind is crea... | Paul is not funny. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X)&~kind(X))<=>creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(kind(X)<~>~humble(X))))&
((?[X]:((humble(X)<... | ~funny(paul) | [] | null | 0 |
Everyone who is both not calm and not generous is tall and vice versa.
If someone is old then someone is not wise or not funny and vice versa.
Everyone who is either wise or not creative is either not calm or generous and vice versa.
Everyone who is either not wise or rich is not funny or not strong and vice versa.
Eve... | Paul is curious. | contradiction | (![X]:((~calm(X)&~generous(X))<=>tall(X)))&
((?[X]:(old(X)))<=>(?[X]:((~wise(X)|~funny(X)))))&
(![X]:((wise(X)<~>~creative(X))<=>(~calm(X)<~>generous(X))))&
(![X]:((~wise(X)<~>rich(X))<=>(~funny(X)|~strong(X))))&
(![X]:(wise(X)<=>(~curious(X)<~>calm(X))))&
(![X]:((~old(X)&~wise(X))=>(calm(X)<~>rich(X))))&
(![X]:((~quie... | curious(paul) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5846904267983623198487017
% SZS output start Proof for 5846904267983623198487017
16. (~humble(paul) | curious(paul)) => ~creative(susan) [input p15]
20. ~happy(susan) & creative(susan) [input p19]
25. curious(paul) [input hypothesis]
38. ~creative(susan) | (humble(paul) & ~curious(paul)) ... | 0 |
Everyone who is not curious is creative or old and vice versa.
If someone is rich or not tall then john is both not curious and kind.
Everyone who is both not rich and patient is not calm and vice versa.
Everyone who is either tall or not kind is both not creative and not happy and vice versa.
Everyone who is either no... | John is rich. | contradiction | (![X]:(~curious(X)<=>(creative(X)|old(X))))&
((?[X]:((rich(X)|~tall(X))))=>((~curious(john)&kind(john))))&
(![X]:((~rich(X)&patient(X))<=>~calm(X)))&
(![X]:((tall(X)<~>~kind(X))<=>(~creative(X)&~happy(X))))&
(![X]:((~happy(X)<~>~wise(X))=>(rich(X)<~>brave(X))))&
(![X]:((~quiet(X)&~rich(X))<=>(strong(X)&~strong(X))))&
(... | rich(john) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p12",
"p13",
"p14",
"p15",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 844091308026795607650881
% SZS output start Proof for 844091308026795607650881
1. ! [X0] : (~curious(X0) <=> (old(X0) | creative(X0))) [input p0]
2. ? [X0] : (~tall(X0) | rich(X0)) => (kind(john) & ~curious(john)) [input p1]
3. ! [X0] : ((patient(X0) & ~rich(X0)) <=> ~calm(X0)) [input p2]... | 0 |
Everyone who is both not calm and not tall is old and vice versa. If fred is either not generous or not wise then someone is not creative and vice versa. If someone is not calm then someone is both humble and rich and vice versa. Everyone who is either strong or not quiet is generous and vice versa. Everyone who is cre... | Fred is not generous. | neutral | (![X]:((~calm(X)&~tall(X))<=>old(X)))&
(((~generous(fred)<~>~wise(fred)))<=>(?[X]:(~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((humble(X)&rich(X)))))&
(![X]:((strong(X)<~>~quiet(X))<=>generous(X)))&
(![X]:((creative(X)|wise(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&calm(X))=>(~curious(X)&patient(X))))&
(((~fun... | ~generous(fred) | [] | null | 0 |
If mary is either funny or not patient then alice is either rich or not brave and vice versa. Everyone who is not patient or kind is both not happy and brave. If someone is both kind and not humble then lucy is either not humble or creative. Everyone who is generous is not old or happy. Everyone who is creative or curi... | Lucy is wise. | entailment | (((funny(mary)<~>~patient(mary)))<=>((rich(alice)<~>~brave(alice))))&
(![X]:((~patient(X)|kind(X))=>(~happy(X)&brave(X))))&
((?[X]:((kind(X)&~humble(X))))=>((~humble(lucy)<~>creative(lucy))))&
(![X]:(generous(X)=>(~old(X)|happy(X))))&
(![X]:((creative(X)|curious(X))=>quiet(X)))&
((generous(alice))=>(?[X]:((~quiet(X)<~>... | wise(lucy) | [
"p1",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 161406710019278658141194
% SZS output start Proof for 161406710019278658141194
2. ! [X0] : ((kind(X0) | ~patient(X0)) => (brave(X0) & ~happy(X0))) [input p1]
8. ! [X0] : (~generous(X0) => (quiet(X0) & wise(X0))) [input p7]
11. ! [X0] : (generous(X0) <=> ~patient(X0)) [input p10]
13. ! [X0... | 0 |
Everyone who is not calm or rich is either curious or not wise and vice versa. Everyone who is both not rich and not patient is both brave and humble. Everyone who is not brave is either brave or not rich and vice versa. Everyone who is either not patient or not brave is brave or old. Everyone who is either not patient... | Paul is not creative. | entailment | (![X]:((~calm(X)|rich(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&humble(X))))&
(![X]:(~brave(X)<=>(brave(X)<~>~rich(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(brave(X)|old(X))))&
(![X]:((~patient(X)<~>~curious(X))<=>(~creative(X)|~calm(X))))&
(![X]:((quiet(X)&~creative(X))=>(quiet(X)<~>fun... | ~creative(paul) | [
"p0",
"p2",
"p4",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5919044190232120113909869
% SZS output start Proof for 5919044190232120113909869
1. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (curious(X0) <~> ~wise(X0))) [input p0]
3. ! [X0] : (~brave(X0) <=> (brave(X0) <~> ~rich(X0))) [input p2]
5. ! [X0] : ((~patient(X0) <~> ~curious(X0)) <=> (~calm(X0) | ... | 0 |
If john is either not patient or curious then someone is both not happy and not kind.
Everyone who is humble is not quiet or not funny and vice versa.
Everyone who is not kind is both brave and funny.
Everyone who is both not brave and not quiet is not kind or tall.
Everyone who is not humble or not happy is both tall ... | John is not brave. | neutral | (((~patient(john)<~>curious(john)))=>(?[X]:((~happy(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~quiet(X)|~funny(X))))&
(![X]:(~kind(X)=>(brave(X)&funny(X))))&
(![X]:((~brave(X)&~quiet(X))=>(~kind(X)|tall(X))))&
(![X]:((~humble(X)|~happy(X))<=>(tall(X)&quiet(X))))&
(((humble(lucy)&~generous(lucy)))<=>(?[X]:((~tall(X)&~wise(X)... | ~brave(john) | [] | null | 0 |
If susan is both old and calm then someone is not calm.
If fred is both patient and funny then someone is not brave.
Everyone who is either not tall or not generous is either patient or not quiet and vice versa.
If john is curious then john is not strong or not generous and vice versa.
If someone is not generous or not... | Lucy is humble. | contradiction | (((old(susan)&calm(susan)))=>(?[X]:(~calm(X))))&
(((patient(fred)&funny(fred)))=>(?[X]:(~brave(X))))&
(![X]:((~tall(X)<~>~generous(X))<=>(patient(X)<~>~quiet(X))))&
((curious(john))<=>((~strong(john)|~generous(john))))&
((?[X]:((~generous(X)|~strong(X))))<=>(?[X]:((~creative(X)<~>happy(X)))))&
(![X]:((~humble(X)|~calm(... | humble(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3590149399035360812298021
% SZS output start Proof for 3590149399035360812298021
22. ~humble(lucy) & funny(lucy) [input p21]
25. humble(lucy) [input hypothesis]
145. ~humble(lucy) [cnf transformation 22]
149. humble(lucy) [cnf transformation 25]
322. 39 <=> humble(lucy) [avatar definition... | 0 |
If paul is not funny then someone is both not strong and generous and vice versa.
If lucy is curious then lucy is both happy and calm.
Everyone who is creative is both kind and tall and vice versa.
Everyone who is both not creative and happy is calm or curious.
Everyone who is rich is both not happy and rich.
If fred i... | Lucy is not curious. | entailment | ((~funny(paul))<=>(?[X]:((~strong(X)&generous(X)))))&
((curious(lucy))=>((happy(lucy)&calm(lucy))))&
(![X]:(creative(X)<=>(kind(X)&tall(X))))&
(![X]:((~creative(X)&happy(X))=>(calm(X)|curious(X))))&
(![X]:(rich(X)=>(~happy(X)&rich(X))))&
((curious(fred))=>((~patient(john)<~>~wise(john))))&
((~creative(alice))=>(?[X]:((... | ~curious(lucy) | [
"p1",
"p2",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2070997594528959578111868
% SZS output start Proof for 2070997594528959578111868
2. curious(lucy) => (calm(lucy) & happy(lucy)) [input p1]
3. ! [X0] : (creative(X0) <=> (tall(X0) & kind(X0))) [input p2]
5. ! [X0] : (rich(X0) => (rich(X0) & ~happy(X0))) [input p4]
14. ! [X0] : (~rich(X0) =... | 0 |
If someone is both not calm and rich then john is both old and tall.
If susan is both rich and not calm then mary is not old and vice versa.
If someone is either happy or not funny then paul is happy and vice versa.
If someone is curious or kind then someone is both not quiet and curious.
If lucy is not quiet then some... | Fred is patient. | neutral | ((?[X]:((~calm(X)&rich(X))))=>((old(john)&tall(john))))&
(((rich(susan)&~calm(susan)))<=>(~old(mary)))&
((?[X]:((happy(X)<~>~funny(X))))<=>(happy(paul)))&
((?[X]:((curious(X)|kind(X))))=>(?[X]:((~quiet(X)&curious(X)))))&
((~quiet(lucy))<=>(?[X]:((~happy(X)<~>~wise(X)))))&
(![X]:((calm(X)|rich(X))<=>(~curious(X)<~>~stro... | patient(fred) | [] | null | 0 |
Everyone who is either not patient or brave is either quiet or not patient and vice versa.
If someone is both wise and not patient then susan is both rich and not tall and vice versa.
If someone is not generous then fred is both not generous and rich and vice versa.
Everyone who is creative is not wise and vice versa.
... | Alice is brave. | neutral | (![X]:((~patient(X)<~>brave(X))<=>(quiet(X)<~>~patient(X))))&
((?[X]:((wise(X)&~patient(X))))<=>((rich(susan)&~tall(susan))))&
((?[X]:(~generous(X)))<=>((~generous(fred)&rich(fred))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:((~creative(X)<~>strong(X))=>strong(X)))&
(![X]:((wise(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
((... | brave(alice) | [] | null | 0 |
Everyone who is curious or not tall is quiet or kind.
If mary is not kind then someone is either not wise or not calm and vice versa.
Everyone who is not strong or not humble is either generous or not happy.
Everyone who is generous is both old and generous and vice versa.
If susan is both not patient and quiet then so... | Alice is tall. | neutral | (![X]:((curious(X)|~tall(X))=>(quiet(X)|kind(X))))&
((~kind(mary))<=>(?[X]:((~wise(X)<~>~calm(X)))))&
(![X]:((~strong(X)|~humble(X))=>(generous(X)<~>~happy(X))))&
(![X]:(generous(X)<=>(old(X)&generous(X))))&
(((~patient(susan)&quiet(susan)))=>(?[X]:(creative(X))))&
(![X]:(~brave(X)<=>(creative(X)|~old(X))))&
((?[X]:((o... | tall(alice) | [] | null | 0 |
If john is tall then someone is either not humble or not quiet and vice versa. If paul is kind then alice is funny and vice versa. If someone is either not kind or old then lucy is either wise or quiet and vice versa. If someone is both not happy and not creative then paul is kind and vice versa. If fred is rich or hap... | Paul is not calm. | contradiction | ((tall(john))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((kind(paul))<=>(funny(alice)))&
((?[X]:((~kind(X)<~>old(X))))<=>((wise(lucy)<~>quiet(lucy))))&
((?[X]:((~happy(X)&~creative(X))))<=>(kind(paul)))&
(((rich(fred)|happy(fred)))=>(?[X]:(generous(X))))&
(![X]:((old(X)<~>creative(X))=>(quiet(X)<~>generous(X))))&
(![X]:((k... | ~calm(paul) | [
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8551155412883345027450045
% SZS output start Proof for 8551155412883345027450045
14. ! [X0] : ((~wise(X0) | creative(X0)) <=> calm(X0)) [input p13]
19. creative(paul) | calm(paul) [input p18]
24. ~calm(paul) [input hypothesis]
66. ! [X0] : (((~wise(X0) | creative(X0)) | ~calm(X0)) & (calm... | 0 |
If someone is brave or not generous then john is not calm and vice versa. Everyone who is both not tall and not brave is either rich or calm and vice versa. Everyone who is curious or brave is generous and vice versa. Everyone who is old is strong or old and vice versa. Everyone who is not calm or not quiet is patient ... | Lucy is not rich. | entailment | ((?[X]:((brave(X)|~generous(X))))<=>(~calm(john)))&
(![X]:((~tall(X)&~brave(X))<=>(rich(X)<~>calm(X))))&
(![X]:((curious(X)|brave(X))<=>generous(X)))&
(![X]:(old(X)<=>(strong(X)|old(X))))&
(![X]:((~calm(X)|~quiet(X))=>(patient(X)|brave(X))))&
((?[X]:((~brave(X)&creative(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![... | ~rich(lucy) | [
"p6",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3513870162008671741892360
% SZS output start Proof for 3513870162008671741892360
7. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | humble(X0))) [input p6]
14. ! [X0] : (quiet(X0) => (humble(X0) | happy(X0))) [input p13]
16. ? [X0] : (~strong(X0) | generous(X0)) <=> (~humble(sus... | 0 |
If someone is both not happy and not funny then someone is either not strong or calm. Everyone who is not wise is rich. If someone is rich then john is strong. Everyone who is not quiet or not curious is both generous and not calm and vice versa. Everyone who is either generous or quiet is not kind or not happy and vic... | John is happy. | entailment | ((?[X]:((~happy(X)&~funny(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:(~wise(X)=>rich(X)))&
((?[X]:(rich(X)))=>(strong(john)))&
(![X]:((~quiet(X)|~curious(X))<=>(generous(X)&~calm(X))))&
(![X]:((generous(X)<~>quiet(X))<=>(~kind(X)|~happy(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(~calm(... | happy(john) | [
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1524530099650575829388374
% SZS output start Proof for 1524530099650575829388374
4. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> (~calm(X0) & generous(X0))) [input p3]
14. ! [X0] : ((generous(X0) | calm(X0)) <=> (happy(X0) | ~generous(X0))) [input p13]
15. ! [X0] : ((curious(X0) | ~old(X0)) ... | 0 |
If someone is not wise or calm then someone is creative.
Everyone who is wise is not happy or calm and vice versa.
Everyone who is either not kind or not happy is either not quiet or old and vice versa.
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... | Mary is calm. | neutral | ((?[X]:((~wise(X)|calm(X))))=>(?[X]:(creative(X))))&
(![X]:(wise(X)<=>(~happy(X)|calm(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>... | calm(mary) | [] | null | 0 |
If mary is not creative then someone is either not wise or patient and vice versa. Everyone who is either not wise or kind is not calm and vice versa. If john is humble then john is not quiet. Everyone who is either old or not generous is strong and vice versa. If lucy is either rich or not curious then alice is either... | John is not humble. | entailment | ((~creative(mary))<=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~wise(X)<~>kind(X))<=>~calm(X)))&
((humble(john))=>(~quiet(john)))&
(![X]:((old(X)<~>~generous(X))<=>strong(X)))&
(((rich(lucy)<~>~curious(lucy)))=>((~rich(alice)<~>~creative(alice))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(patient(paul)))&
(![X]:((strong(X... | ~humble(john) | [
"p6",
"p10",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8505296024236959810156916
% SZS output start Proof for 8505296024236959810156916
7. ! [X0] : ((happy(X0) & strong(X0)) => ~happy(X0)) [input p6]
11. ! [X0] : ((kind(X0) & wise(X0)) <=> ~strong(X0)) [input p10]
14. ? [X0] : (wise(X0) <~> ~kind(X0)) <=> ~strong(john) [input p13]
16. ! [X0] ... | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is both happy and brave is not rich or not creative. Everyone who is both not strong and wise is either calm or not old and vice versa. If paul is quiet then someone is either strong or humble. If someone is either not funny or happy then som... | Susan is tall. | entailment | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:((happy(X)&brave(X))=>(~rich(X)|~creative(X))))&
(![X]:((~strong(X)&wise(X))<=>(calm(X)<~>~old(X))))&
((quiet(paul))=>(?[X]:((strong(X)<~>humble(X)))))&
((?[X]:((~funny(X)<~>happy(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:(~brave(X)=>(~funny(X)&~... | tall(susan) | [
"p11",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3555431084794872047973417
% SZS output start Proof for 3555431084794872047973417
12. ! [X0] : ((~tall(X0) | ~curious(X0)) <=> kind(X0)) [input p11]
16. ! [X0] : ((kind(X0) <~> happy(X0)) => ~wise(X0)) [input p15]
17. ~happy(susan) & ~patient(susan) [input p16]
21. ~calm(susan) & wise(susa... | 0 |
If someone is either not strong or old then someone is either humble or curious and vice versa.
Everyone who is both calm and not happy is calm and vice versa.
Everyone who is calm or generous is both brave and not tall and vice versa.
If someone is either not tall or not strong then someone is both happy and not quiet... | John is not tall. | contradiction | ((?[X]:((~strong(X)<~>old(X))))<=>(?[X]:((humble(X)<~>curious(X)))))&
(![X]:((calm(X)&~happy(X))<=>calm(X)))&
(![X]:((calm(X)|generous(X))<=>(brave(X)&~tall(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:((~strong(X)|old(X))=>(creative(X)&patient(X))))&
(((quiet(mary)<~>patient(mary)))... | ~tall(john) | [
"p3",
"p4",
"p7",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2630746751659467794696515
% SZS output start Proof for 2630746751659467794696515
4. ? [X0] : (~tall(X0) <~> ~strong(X0)) <=> ? [X0] : (~quiet(X0) & happy(X0)) [input p3]
5. ! [X0] : ((old(X0) | ~strong(X0)) => (patient(X0) & creative(X0))) [input p4]
8. ! [X0] : ((patient(X0) | rich(X0)) ... | 0 |
Everyone who is both funny and wise is either curious or not brave. Everyone who is not rich is not tall and vice versa. If someone is both not curious and patient then someone is not funny. Everyone who is either kind or not old is not humble or happy and vice versa. If paul is not rich then paul is either not patient... | Paul is not wise. | entailment | (![X]:((funny(X)&wise(X))=>(curious(X)<~>~brave(X))))&
(![X]:(~rich(X)<=>~tall(X)))&
((?[X]:((~curious(X)&patient(X))))=>(?[X]:(~funny(X))))&
(![X]:((kind(X)<~>~old(X))<=>(~humble(X)|happy(X))))&
((~rich(paul))=>((~patient(paul)<~>~kind(paul))))&
(![X]:((calm(X)|~happy(X))=>(humble(X)|wise(X))))&
((?[X]:((strong(X)|wis... | ~wise(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5043596179265735881186501
% SZS output start Proof for 5043596179265735881186501
9. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~wise(X0) & ~brave(X0))) [input p8]
20. wise(paul) [input hypothesis]
47. ! [X0] : ((((patient(X0) | ~patient(X0)) & (~patient(X0) | patient(X0))) | (wise(X0) ... | 0 |
Everyone who is both not humble and not brave is both not humble and not tall.
Everyone who is both wise and strong is not funny.
Everyone who is not brave or humble is either humble or funny.
If someone is old then someone is kind and vice versa.
Everyone who is both not happy and patient is calm.
Everyone who is curi... | Mary is not happy. | entailment | (![X]:((~humble(X)&~brave(X))=>(~humble(X)&~tall(X))))&
(![X]:((wise(X)&strong(X))=>~funny(X)))&
(![X]:((~brave(X)|humble(X))=>(humble(X)<~>funny(X))))&
((?[X]:(old(X)))<=>(?[X]:(kind(X))))&
(![X]:((~happy(X)&patient(X))=>calm(X)))&
(![X]:(curious(X)<=>(creative(X)|generous(X))))&
((?[X]:((~humble(X)|~curious(X))))<=>(... | ~happy(mary) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6270290477861139507725623
% SZS output start Proof for 6270290477861139507725623
12. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> happy(X0)) [input p11]
17. quiet(mary) [input p16]
25. happy(mary) [input hypothesis]
62. ! [X0] : (((~quiet(X0) & ~kind(X0)) | ~happy(X0)) & (happy(X0) | (quiet(X0)... | 0 |
If someone is either wise or creative then someone is both tall and not curious and vice versa.
If someone is not patient or patient then paul is both old and curious.
Everyone who is rich or not calm is not humble and vice versa.
If alice is not funny or not curious then someone is old or strong and vice versa.
If som... | Paul is funny. | entailment | ((?[X]:((wise(X)<~>creative(X))))<=>(?[X]:((tall(X)&~curious(X)))))&
((?[X]:((~patient(X)|patient(X))))=>((old(paul)&curious(paul))))&
(![X]:((rich(X)|~calm(X))<=>~humble(X)))&
(((~funny(alice)|~curious(alice)))<=>(?[X]:((old(X)|strong(X)))))&
((?[X]:((creative(X)|happy(X))))<=>(funny(john)))&
((?[X]:((~strong(X)<~>kin... | funny(paul) | [
"p1",
"p6",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2472852334571284309281986
% SZS output start Proof for 2472852334571284309281986
2. ? [X0] : (patient(X0) | ~patient(X0)) => (curious(paul) & old(paul)) [input p1]
7. ! [X0] : ((~generous(X0) | rich(X0)) => (~generous(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((old(X0) <~> ~funny(X0)) ... | 0 |
Everyone who is both humble and quiet is both not generous and patient and vice versa. If fred is either old or not curious then someone is kind and vice versa. If fred is either funny or not calm then alice is either brave or old. Everyone who is not strong is not generous. If someone is not humble then someone is not... | Fred is not patient. | entailment | (![X]:((humble(X)&quiet(X))<=>(~generous(X)&patient(X))))&
(((old(fred)<~>~curious(fred)))<=>(?[X]:(kind(X))))&
(((funny(fred)<~>~calm(fred)))=>((brave(alice)<~>old(alice))))&
(![X]:(~strong(X)=>~generous(X)))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:((quiet(X)&patient(X))=>~generous(X)))&
(![X]:(... | ~patient(fred) | [
"p3",
"p5",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7282359963508059782921739
% SZS output start Proof for 7282359963508059782921739
4. ! [X0] : (~strong(X0) => ~generous(X0)) [input p3]
6. ! [X0] : ((patient(X0) & quiet(X0)) => ~generous(X0)) [input p5]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => (creative(X0) & generous(X0))) [input p6]... | 0 |
If alice is funny then someone is not kind and vice versa. Everyone who is not kind is both old and not calm and vice versa. Everyone who is not strong is either not funny or happy. Everyone who is both creative and happy is both kind and brave and vice versa. If someone is either not quiet or old then someone is both ... | Susan is rich. | neutral | ((funny(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~kind(X)<=>(old(X)&~calm(X))))&
(![X]:(~strong(X)=>(~funny(X)<~>happy(X))))&
(![X]:((creative(X)&happy(X))<=>(kind(X)&brave(X))))&
((?[X]:((~quiet(X)<~>old(X))))=>(?[X]:((~old(X)&curious(X)))))&
(((tall(lucy)&~calm(lucy)))=>(?[X]:(~brave(X))))&
(((~old(susan)&patient(susan))... | rich(susan) | [] | null | 0 |
Everyone who is funny or not generous is not tall. If paul is both not wise and creative then someone is either tall or brave and vice versa. If fred is either quiet or humble then someone is both not kind and kind and vice versa. If john is either not quiet or not calm then john is humble or calm. If paul is not curio... | Mary is funny. | neutral | (![X]:((funny(X)|~generous(X))=>~tall(X)))&
(((~wise(paul)&creative(paul)))<=>(?[X]:((tall(X)<~>brave(X)))))&
(((quiet(fred)<~>humble(fred)))<=>(?[X]:((~kind(X)&kind(X)))))&
(((~quiet(john)<~>~calm(john)))=>((humble(john)|calm(john))))&
((~curious(paul))=>(?[X]:((creative(X)<~>rich(X)))))&
(![X]:(~generous(X)=>kind(X))... | funny(mary) | [] | null | 0 |
Everyone who is kind or not curious is both brave and generous and vice versa. Everyone who is not creative or wise is either tall or brave and vice versa. Everyone who is not rich or happy is either happy or calm. If fred is both not patient and happy then fred is generous and vice versa. Everyone who is not happy or ... | Lucy is not rich. | neutral | (![X]:((kind(X)|~curious(X))<=>(brave(X)&generous(X))))&
(![X]:((~creative(X)|wise(X))<=>(tall(X)<~>brave(X))))&
(![X]:((~rich(X)|happy(X))=>(happy(X)<~>calm(X))))&
(((~patient(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:((~happy(X)|calm(X))<=>(funny(X)&~brave(X))))&
((humble(lucy))=>(kind(john)))&
(![X]:((~brave(X)... | ~rich(lucy) | [] | null | 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... | Lucy is generous. | neutral | (![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)... | generous(lucy) | [] | null | 0 |
If fred is old or humble then someone is rich or old.
If lucy is old then lucy is brave or not creative and vice versa.
Everyone who is brave or not funny is not tall and vice versa.
If fred is strong or patient then john is wise or brave.
Everyone who is both old and not curious is not strong.
Everyone who is old or k... | Fred is not calm. | neutral | (((old(fred)|humble(fred)))=>(?[X]:((rich(X)|old(X)))))&
((old(lucy))<=>((brave(lucy)|~creative(lucy))))&
(![X]:((brave(X)|~funny(X))<=>~tall(X)))&
(((strong(fred)|patient(fred)))=>((wise(john)|brave(john))))&
(![X]:((old(X)&~curious(X))=>~strong(X)))&
(![X]:((old(X)|kind(X))=>quiet(X)))&
((?[X]:((generous(X)|humble(X)... | ~calm(fred) | [] | null | 0 |
If mary is either not calm or not creative then someone is generous or not funny.
If someone is not curious then susan is not happy or not curious and vice versa.
Everyone who is either strong or not humble is either not funny or not humble.
If someone is wise or kind then fred is not patient and vice versa.
If someone... | Lucy is patient. | entailment | (((~calm(mary)<~>~creative(mary)))=>(?[X]:((generous(X)|~funny(X)))))&
((?[X]:(~curious(X)))<=>((~happy(susan)|~curious(susan))))&
(![X]:((strong(X)<~>~humble(X))=>(~funny(X)<~>~humble(X))))&
((?[X]:((wise(X)|kind(X))))<=>(~patient(fred)))&
((?[X]:((~strong(X)|happy(X))))<=>((calm(fred)<~>~kind(fred))))&
(![X]:((humble... | patient(lucy) | [
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8441705086001893717664015
% SZS output start Proof for 8441705086001893717664015
11. ~creative(john) <=> ~patient(lucy) [input p10]
12. ! [X0] : ((curious(X0) | calm(X0)) <=> creative(X0)) [input p11]
15. ! [X0] : ((tall(X0) | ~calm(X0)) <=> (generous(X0) & ~tall(X0))) [input p14]
16. ~ta... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or not curious is both not old and not strong.
Everyone who is not strong or not happy is both not happy and kind.
Everyone who is not kind or generous is calm and vice versa.
If john is both not quiet and tall then someone is... | Fred is not funny. | contradiction | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))... | ~funny(fred) | [
"p0",
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7049416927249329945559254
% SZS output start Proof for 7049416927249329945559254
1. ! [X0] : ((~curious(X0) <~> funny(X0)) => (~creative(X0) & old(X0))) [input p0]
2. ! [X0] : ((~curious(X0) | old(X0)) => (~strong(X0) & ~old(X0))) [input p1]
6. ! [X0] : ((quiet(X0) | curious(X0)) => (rich... | 0 |
If paul is not humble then fred is both not calm and curious. If lucy is either happy or quiet then someone is both wise and not generous and vice versa. If someone is old or wise then alice is funny. Everyone who is humble or not happy is not quiet. Everyone who is rich is either brave or quiet and vice versa. Everyon... | Susan is not happy. | neutral | ((~humble(paul))=>((~calm(fred)&curious(fred))))&
(((happy(lucy)<~>quiet(lucy)))<=>(?[X]:((wise(X)&~generous(X)))))&
((?[X]:((old(X)|wise(X))))=>(funny(alice)))&
(![X]:((humble(X)|~happy(X))=>~quiet(X)))&
(![X]:(rich(X)<=>(brave(X)<~>quiet(X))))&
(![X]:(kind(X)<=>~brave(X)))&
((~creative(paul))=>(?[X]:(brave(X))))&
((?... | ~happy(susan) | [] | null | 0 |
If someone is not old or curious then someone is either not wise or quiet.
Everyone who is both tall and not kind is humble.
Everyone who is not kind is not calm and vice versa.
Everyone who is either curious or old is quiet.
Everyone who is calm or rich is not old or strong.
Everyone who is either tall or wise is not ... | Fred is not wise. | neutral | ((?[X]:((~old(X)|curious(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((tall(X)&~kind(X))=>humble(X)))&
(![X]:(~kind(X)<=>~calm(X)))&
(![X]:((curious(X)<~>old(X))=>quiet(X)))&
(![X]:((calm(X)|rich(X))=>(~old(X)|strong(X))))&
(![X]:((tall(X)<~>wise(X))<=>(~funny(X)|funny(X))))&
(((funny(lucy)|~quiet(lucy)))<=>((creativ... | ~wise(fred) | [] | null | 0 |
Everyone who is both curious and happy is quiet. Everyone who is both patient and not patient is either funny or quiet. If someone is both strong and not old then fred is patient or funny. If someone is either patient or kind then someone is kind or not kind and vice versa. Everyone who is both not rich and rich is old... | Fred is tall. | neutral | (![X]:((curious(X)&happy(X))=>quiet(X)))&
(![X]:((patient(X)&~patient(X))=>(funny(X)<~>quiet(X))))&
((?[X]:((strong(X)&~old(X))))=>((patient(fred)|funny(fred))))&
((?[X]:((patient(X)<~>kind(X))))<=>(?[X]:((kind(X)|~kind(X)))))&
(![X]:((~rich(X)&rich(X))=>(old(X)|tall(X))))&
(![X]:(~funny(X)<=>(curious(X)&~patient(X))))... | tall(fred) | [] | null | 0 |
Everyone who is not kind or strong is both calm and rich and vice versa.
If someone is both not old and not rich then someone is either not kind or not brave and vice versa.
Everyone who is funny is either funny or calm.
If someone is both tall and not old then lucy is humble and vice versa.
If fred is quiet or creativ... | Paul is strong. | contradiction | (![X]:((~kind(X)|strong(X))<=>(calm(X)&rich(X))))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:((~kind(X)<~>~brave(X)))))&
(![X]:(funny(X)=>(funny(X)<~>calm(X))))&
((?[X]:((tall(X)&~old(X))))<=>(humble(lucy)))&
(((quiet(fred)|creative(fred)))<=>(?[X]:((humble(X)<~>tall(X)))))&
((~generous(fred))<=>((tall(lucy)|~tall(lucy))))&... | strong(paul) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2360341279312416657973393
% SZS output start Proof for 2360341279312416657973393
1. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (rich(X0) & calm(X0))) [input p0]
14. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> (strong(X0) | ~strong(X0))) [input p13]
25. strong(paul) [input hypothesis]
37. ! [X0] :... | 0 |
If someone is both not strong and patient then fred is either strong or not curious and vice versa. If someone is brave or not humble then someone is both generous and not old. Everyone who is either not quiet or patient is not humble or creative and vice versa. Everyone who is both not rich and funny is not patient. E... | Paul is patient. | entailment | ((?[X]:((~strong(X)&patient(X))))<=>((strong(fred)<~>~curious(fred))))&
((?[X]:((brave(X)|~humble(X))))=>(?[X]:((generous(X)&~old(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(~humble(X)|creative(X))))&
(![X]:((~rich(X)&funny(X))=>~patient(X)))&
(![X]:((kind(X)<~>old(X))<=>(~patient(X)<~>~wise(X))))&
(((~tall(alice)&~gene... | patient(paul) | [
"p2",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6822839111791217828415427
% SZS output start Proof for 6822839111791217828415427
3. ! [X0] : ((~quiet(X0) <~> patient(X0)) <=> (creative(X0) | ~humble(X0))) [input p2]
10. ! [X0] : ((happy(X0) | quiet(X0)) <=> (patient(X0) & calm(X0))) [input p9]
15. (quiet(paul) <~> humble(paul)) <=> ? [... | 0 |
If paul is either quiet or not strong then john is both strong and generous.
Everyone who is not happy or not tall is not generous and vice versa.
If mary is not patient or not quiet then paul is either not kind or not rich and vice versa.
Everyone who is both brave and patient is both not creative and not rich.
Everyo... | Paul is kind. | neutral | (((quiet(paul)<~>~strong(paul)))=>((strong(john)&generous(john))))&
(![X]:((~happy(X)|~tall(X))<=>~generous(X)))&
(((~patient(mary)|~quiet(mary)))<=>((~kind(paul)<~>~rich(paul))))&
(![X]:((brave(X)&patient(X))=>(~creative(X)&~rich(X))))&
(![X]:((kind(X)|~old(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~humble(X)<~>quie... | kind(paul) | [] | null | 0 |
Everyone who is either generous or not rich is both quiet and not tall.
If someone is humble or not funny then alice is kind or curious and vice versa.
If mary is kind or rich then paul is both calm and not wise and vice versa.
If someone is generous then someone is both not brave and not quiet and vice versa.
If lucy ... | Paul is not creative. | contradiction | (![X]:((generous(X)<~>~rich(X))=>(quiet(X)&~tall(X))))&
((?[X]:((humble(X)|~funny(X))))<=>((kind(alice)|curious(alice))))&
(((kind(mary)|rich(mary)))<=>((calm(paul)&~wise(paul))))&
((?[X]:(generous(X)))<=>(?[X]:((~brave(X)&~quiet(X)))))&
(((strong(lucy)<~>funny(lucy)))=>(~tall(lucy)))&
(![X]:((tall(X)|wise(X))<=>(~tall... | ~creative(paul) | [
"p5",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3666721147351456745121637
% SZS output start Proof for 3666721147351456745121637
6. ! [X0] : ((wise(X0) | tall(X0)) <=> (~calm(X0) & ~tall(X0))) [input p5]
11. ! [X0] : (~creative(X0) => (~calm(X0) <~> ~tall(X0))) [input p10]
16. ! [X0] : ((brave(X0) & ~calm(X0)) <=> kind(X0)) [input p15]... | 0 |
Everyone who is both not calm and not patient is not quiet. Everyone who is not funny is not patient or not old and vice versa. If paul is not old or patient then lucy is rich or funny. Everyone who is not wise is both rich and brave. Everyone who is either not humble or not old is either not strong or wise and vice ve... | Mary is not curious. | neutral | (![X]:((~calm(X)&~patient(X))=>~quiet(X)))&
(![X]:(~funny(X)<=>(~patient(X)|~old(X))))&
(((~old(paul)|patient(paul)))=>((rich(lucy)|funny(lucy))))&
(![X]:(~wise(X)=>(rich(X)&brave(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(~strong(X)<~>wise(X))))&
(((~generous(fred)|quiet(fred)))=>((~happy(paul)&~kind(paul))))&
((?[X]:((~... | ~curious(mary) | [] | null | 0 |
If someone is not happy or not wise then someone is not rich or not old.
If someone is rich or brave then paul is both not humble and not brave and vice versa.
Everyone who is not wise or not quiet is old or quiet.
Everyone who is either not old or not tall is not patient or not curious.
If someone is happy then paul i... | Mary is not creative. | neutral | ((?[X]:((~happy(X)|~wise(X))))=>(?[X]:((~rich(X)|~old(X)))))&
((?[X]:((rich(X)|brave(X))))<=>((~humble(paul)&~brave(paul))))&
(![X]:((~wise(X)|~quiet(X))=>(old(X)|quiet(X))))&
(![X]:((~old(X)<~>~tall(X))=>(~patient(X)|~curious(X))))&
((?[X]:(happy(X)))=>((tall(paul)|~funny(paul))))&
(![X]:((~curious(X)&patient(X))<=>(~... | ~creative(mary) | [] | null | 0 |
If someone is generous then someone is either not patient or brave and vice versa.
Everyone who is either not kind or not quiet is happy.
Everyone who is kind or not curious is tall and vice versa.
Everyone who is both not calm and patient is not tall or strong.
Everyone who is both quiet and not generous is either hap... | Lucy is happy. | contradiction | ((?[X]:(generous(X)))<=>(?[X]:((~patient(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>happy(X)))&
(![X]:((kind(X)|~curious(X))<=>tall(X)))&
(![X]:((~calm(X)&patient(X))=>(~tall(X)|strong(X))))&
(![X]:((quiet(X)&~generous(X))=>(happy(X)<~>~wise(X))))&
(![X]:((generous(X)<~>old(X))<=>(old(X)&~rich(X))))&
(![X]:((~ge... | happy(lucy) | [
"p6",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6541840256430573177720748
% SZS output start Proof for 6541840256430573177720748
7. ! [X0] : ((~brave(X0) & ~generous(X0)) <=> happy(X0)) [input p6]
15. ! [X0] : ((~calm(X0) & ~rich(X0)) <=> (strong(X0) | creative(X0))) [input p14]
18. ~strong(lucy) <~> ~generous(lucy) [input p17]
19. ric... | 0 |
Everyone who is humble is kind. Everyone who is both kind and quiet is not strong. Everyone who is tall is both strong and not curious. Everyone who is either not tall or not curious is either not brave or not funny. Everyone who is either not patient or calm is brave or not rich and vice versa. If someone is both curi... | Alice is not strong. | entailment | (![X]:(humble(X)=>kind(X)))&
(![X]:((kind(X)&quiet(X))=>~strong(X)))&
(![X]:(tall(X)=>(strong(X)&~curious(X))))&
(![X]:((~tall(X)<~>~curious(X))=>(~brave(X)<~>~funny(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(brave(X)|~rich(X))))&
((?[X]:((curious(X)&~tall(X))))<=>(?[X]:((rich(X)|~kind(X)))))&
(![X]:((wise(X)&~old(X))<=>... | ~strong(alice) | [
"p1",
"p2",
"p3",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4563995652755257902548537
% SZS output start Proof for 4563995652755257902548537
2. ! [X0] : ((quiet(X0) & kind(X0)) => ~strong(X0)) [input p1]
3. ! [X0] : (tall(X0) => (~curious(X0) & strong(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~curious(X0)) => (~brave(X0) <~> ~funny(X0))) [input... | 0 |
Everyone who is funny or not strong is both not humble and not strong.
Everyone who is either generous or not calm is not creative.
If alice is happy then someone is both not happy and not old.
Everyone who is creative is both tall and not strong.
If mary is either not happy or not quiet then someone is wise or not fun... | Paul is generous. | neutral | (![X]:((funny(X)|~strong(X))=>(~humble(X)&~strong(X))))&
(![X]:((generous(X)<~>~calm(X))=>~creative(X)))&
((happy(alice))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:(creative(X)=>(tall(X)&~strong(X))))&
(((~happy(mary)<~>~quiet(mary)))<=>(?[X]:((wise(X)|~funny(X)))))&
(![X]:((~calm(X)|kind(X))<=>~creative(X)))&
((?[X]:((~ri... | generous(paul) | [] | null | 0 |
Everyone who is kind is not creative or not curious. If someone is kind then someone is either wise or not quiet and vice versa. If someone is both not calm and old then someone is not creative or not old. Everyone who is both quiet and not calm is either calm or not strong. If lucy is not happy then susan is not wise ... | John is calm. | entailment | (![X]:(kind(X)=>(~creative(X)|~curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((quiet(X)&~calm(X))=>(calm(X)<~>~strong(X))))&
((~happy(lucy))=>((~wise(susan)|strong(susan))))&
(![X]:((~funny(X)|creative(X))<=>kind(X)))&
(![X]:((ta... | calm(john) | [
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5073791698609628874613641
% SZS output start Proof for 5073791698609628874613641
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (calm(X0) <~> ~strong(X0))) [input p3]
14. ! [X0] : ((~calm(X0) | ~happy(X0)) => strong(X0)) [input p13]
18. quiet(john) [input p17]
25. ~calm(john) [input hypothesis]
... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If mary is either patient or strong then alice is either strong or not generous.
Everyone who is both not brave and not creative is not happy and vice versa.
Everyone who is both not brave and not rich is both tall and ... | Susan is not tall. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((patient(mary)<~>strong(mary)))=>((strong(alice)<~>~generous(alice))))&
(![X]:((~brave(X)&~creative(X))<=>~happy(X)))&
(![X]:((~brave(X)&~rich(X))=>(tall(X)&rich(X))))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)<~>patient(X)))))&
((calm(susan))<=>(?[X]:(c... | ~tall(susan) | [
"p2",
"p3",
"p5",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 246575186678262896798403
% SZS output start Proof for 246575186678262896798403
3. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((~rich(X0) & ~brave(X0)) => (rich(X0) & tall(X0))) [input p3]
6. calm(susan) <=> ? [X0] : curious(X0) [input p5]
9. curious(paul... | 0 |
If someone is either not quiet or not calm then someone is not rich.
If paul is strong then someone is either brave or generous and vice versa.
Everyone who is humble is strong or creative.
Everyone who is kind or happy is either not curious or not patient.
Everyone who is either rich or calm is either quiet or curious... | John is not rich. | entailment | ((?[X]:((~quiet(X)<~>~calm(X))))=>(?[X]:(~rich(X))))&
((strong(paul))<=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:(humble(X)=>(strong(X)|creative(X))))&
(![X]:((kind(X)|happy(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((rich(X)<~>calm(X))<=>(quiet(X)<~>curious(X))))&
(![X]:((~old(X)|~creative(X))=>(wise(X)<~>funny(X))))... | ~rich(john) | [
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8768698050095038329405488
% SZS output start Proof for 8768698050095038329405488
6. ! [X0] : ((~creative(X0) | ~old(X0)) => (wise(X0) <~> funny(X0))) [input p5]
13. ! [X0] : ((~rich(X0) & funny(X0)) <=> (~funny(X0) | ~wise(X0))) [input p12]
16. ! [X0] : (~rich(X0) <=> old(X0)) [input p15]... | 0 |
Everyone who is happy is either curious or not rich.
Everyone who is both old and not kind is not patient.
Everyone who is both rich and not humble is not generous.
If someone is both old and not old then someone is brave and vice versa.
If someone is not old then alice is not calm or curious.
Everyone who is both not ... | John is happy. | neutral | (![X]:(happy(X)=>(curious(X)<~>~rich(X))))&
(![X]:((old(X)&~kind(X))=>~patient(X)))&
(![X]:((rich(X)&~humble(X))=>~generous(X)))&
((?[X]:((old(X)&~old(X))))<=>(?[X]:(brave(X))))&
((?[X]:(~old(X)))=>((~calm(alice)|curious(alice))))&
(![X]:((~quiet(X)&~brave(X))=>rich(X)))&
(![X]:((~patient(X)&patient(X))=>(rich(X)<~>~ol... | happy(john) | [] | null | 0 |
If someone is not rich or not tall then john is either not kind or rich and vice versa.
If someone is both not funny and not old then paul is both not curious and not funny and vice versa.
Everyone who is not brave is either not creative or not patient and vice versa.
If lucy is calm or not curious then alice is not fu... | John is tall. | contradiction | ((?[X]:((~rich(X)|~tall(X))))<=>((~kind(john)<~>rich(john))))&
((?[X]:((~funny(X)&~old(X))))<=>((~curious(paul)&~funny(paul))))&
(![X]:(~brave(X)<=>(~creative(X)<~>~patient(X))))&
(((calm(lucy)|~curious(lucy)))<=>(~funny(alice)))&
(((~strong(mary)<~>rich(mary)))=>((brave(fred)|kind(fred))))&
(((brave(john)&~tall(john))... | tall(john) | [
"p5",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1686064229209720113508367
% SZS output start Proof for 1686064229209720113508367
6. (~tall(john) & brave(john)) <=> ? [X0] : (~humble(X0) <~> rich(X0)) [input p5]
15. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~humble(X0) <~> funny(X0))) [input p14]
16. ! [X0] : (~humble(X0) <=> (~humb... | 0 |
If someone is quiet then someone is curious and vice versa.
If someone is either rich or not curious then lucy is either not funny or not brave and vice versa.
If someone is both funny and rich then someone is both not creative and humble and vice versa.
Everyone who is either tall or brave is both patient and strong a... | Lucy is kind. | neutral | ((?[X]:(quiet(X)))<=>(?[X]:(curious(X))))&
((?[X]:((rich(X)<~>~curious(X))))<=>((~funny(lucy)<~>~brave(lucy))))&
((?[X]:((funny(X)&rich(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(patient(X)&strong(X))))&
(![X]:(calm(X)<=>(wise(X)&strong(X))))&
(((quiet(lucy)&~rich(lucy)))=>((~brave(fred)... | kind(lucy) | [] | null | 0 |
If susan is both not creative and not funny then fred is both patient and funny. If someone is not kind then susan is not tall. Everyone who is both not wise and happy is both not old and curious. If someone is both not wise and old then lucy is both not strong and not rich and vice versa. Everyone who is not happy or ... | John is humble. | entailment | (((~creative(susan)&~funny(susan)))=>((patient(fred)&funny(fred))))&
((?[X]:(~kind(X)))=>(~tall(susan)))&
(![X]:((~wise(X)&happy(X))=>(~old(X)&curious(X))))&
((?[X]:((~wise(X)&old(X))))<=>((~strong(lucy)&~rich(lucy))))&
(![X]:((~happy(X)|creative(X))=>(~tall(X)&funny(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&~curiou... | humble(john) | [
"p3",
"p5",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3382609724237037186183967
% SZS output start Proof for 3382609724237037186183967
4. ? [X0] : (old(X0) & ~wise(X0)) <=> (~rich(lucy) & ~strong(lucy)) [input p3]
6. ! [X0] : ((~humble(X0) | ~old(X0)) => (~curious(X0) & kind(X0))) [input p5]
7. ~old(john) => (old(lucy) & ~patient(lucy)) [inp... | 0 |
Everyone who is not tall is not funny or old. Everyone who is tall or happy is generous and vice versa. If john is kind or not kind then john is either wise or creative. If someone is not patient or curious then mary is not strong or generous and vice versa. If lucy is both not creative and not wise then fred is either... | John is wise. | neutral | (![X]:(~tall(X)=>(~funny(X)|old(X))))&
(![X]:((tall(X)|happy(X))<=>generous(X)))&
(((kind(john)|~kind(john)))=>((wise(john)<~>creative(john))))&
((?[X]:((~patient(X)|curious(X))))<=>((~strong(mary)|generous(mary))))&
(((~creative(lucy)&~wise(lucy)))<=>((quiet(fred)<~>~humble(fred))))&
(![X]:((~funny(X)|~creative(X))<=>... | wise(john) | [] | null | 0 |
Everyone who is either not patient or not calm is not curious or humble.
Everyone who is curious is both not kind and not rich.
If someone is both not happy and rich then someone is strong or funny and vice versa.
If fred is either not calm or quiet then someone is both not funny and not strong and vice versa.
Everyone... | Mary is not strong. | entailment | (![X]:((~patient(X)<~>~calm(X))=>(~curious(X)|humble(X))))&
(![X]:(curious(X)=>(~kind(X)&~rich(X))))&
((?[X]:((~happy(X)&rich(X))))<=>(?[X]:((strong(X)|funny(X)))))&
(((~calm(fred)<~>quiet(fred)))<=>(?[X]:((~funny(X)&~strong(X)))))&
(![X]:((~strong(X)<~>~tall(X))<=>tall(X)))&
(![X]:((~funny(X)&rich(X))<=>~happy(X)))&
(... | ~strong(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5605693127456020776379448
% SZS output start Proof for 5605693127456020776379448
5. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> tall(X0)) [input p4]
24. strong(mary) [input hypothesis]
52. ! [X0] : ((((tall(X0) | strong(X0)) & (~tall(X0) | ~strong(X0))) | ~tall(X0)) & (tall(X0) | ((~strong(... | 0 |
If someone is either rich or curious then someone is both wise and old and vice versa. If fred is both not kind and not humble then someone is not humble or not curious. Everyone who is not funny is both patient and humble and vice versa. Everyone who is not calm or not strong is either not creative or not curious and ... | Fred is funny. | entailment | ((?[X]:((rich(X)<~>curious(X))))<=>(?[X]:((wise(X)&old(X)))))&
(((~kind(fred)&~humble(fred)))=>(?[X]:((~humble(X)|~curious(X)))))&
(![X]:(~funny(X)<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|~strong(X))<=>(~creative(X)<~>~curious(X))))&
(![X]:(~funny(X)=>(~calm(X)&~humble(X))))&
(((patient(john)|wise(john)))<=>(?[X]:... | funny(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 972581500004738687302189
% SZS output start Proof for 972581500004738687302189
3. ! [X0] : (~funny(X0) <=> (humble(X0) & patient(X0))) [input p2]
5. ! [X0] : (~funny(X0) => (~humble(X0) & ~calm(X0))) [input p4]
24. ~funny(fred) [input hypothesis]
28. ! [X0] : ((~humble(X0) & ~calm(X0)) | ... | 0 |
Everyone who is wise or not patient is not kind and vice versa.
Everyone who is not patient is not calm and vice versa.
Everyone who is humble is both tall and humble.
Everyone who is not tall is funny or not calm and vice versa.
Everyone who is either kind or not strong is either creative or not patient and vice versa... | Lucy is creative. | entailment | (![X]:((wise(X)|~patient(X))<=>~kind(X)))&
(![X]:(~patient(X)<=>~calm(X)))&
(![X]:(humble(X)=>(tall(X)&humble(X))))&
(![X]:(~tall(X)<=>(funny(X)|~calm(X))))&
(![X]:((kind(X)<~>~strong(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((wise(X)<~>~creative(X))<=>(~humble(X)<~>strong(X))))&
((?[X]:((tall(X)&funny(X))))<=>(?[X]:... | creative(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4613668927635843768264121
% SZS output start Proof for 4613668927635843768264121
1. ! [X0] : ((~patient(X0) | wise(X0)) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~patient(X0) <=> ~calm(X0)) [input p1]
4. ! [X0] : (~tall(X0) <=> (~calm(X0) | funny(X0))) [input p3]
5. ! [X0] : ((kind(X0) <~> ~... | 0 |
Everyone who is not happy or patient is kind.
If someone is not generous then someone is both patient and not funny.
Everyone who is both not wise and not funny is not quiet.
Everyone who is either not old or not strong is both not curious and wise.
If someone is both not old and not wise then lucy is rich or not quiet... | John is not humble. | neutral | (![X]:((~happy(X)|patient(X))=>kind(X)))&
((?[X]:(~generous(X)))=>(?[X]:((patient(X)&~funny(X)))))&
(![X]:((~wise(X)&~funny(X))=>~quiet(X)))&
(![X]:((~old(X)<~>~strong(X))=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&~wise(X))))<=>((rich(lucy)|~quiet(lucy))))&
((?[X]:((~rich(X)|~tall(X))))=>((brave(mary)&~funny(mary))))&... | ~humble(john) | [] | null | 0 |
If lucy is not old or not tall then paul is either patient or funny and vice versa. If someone is not humble then someone is both not funny and not wise and vice versa. Everyone who is not wise or not creative is creative and vice versa. If someone is not happy then john is strong and vice versa. Everyone who is either... | Alice is wise. | contradiction | (((~old(lucy)|~tall(lucy)))<=>((patient(paul)<~>funny(paul))))&
((?[X]:(~humble(X)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((~wise(X)|~creative(X))<=>creative(X)))&
((?[X]:(~happy(X)))<=>(strong(john)))&
(![X]:((happy(X)<~>brave(X))<=>~old(X)))&
((?[X]:(~humble(X)))=>(~happy(susan)))&
(![X]:(happy(X)<=>(~humble(X)&br... | wise(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 779456086941456103220171
% SZS output start Proof for 779456086941456103220171
3. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> creative(X0)) [input p2]
24. wise(alice) [input hypothesis]
41. ! [X0] : (((~creative(X0) | ~wise(X0)) | ~creative(X0)) & (creative(X0) | (creative(X0) & wise(X0))))... | 0 |
If someone is both not creative and quiet then alice is both not kind and kind. If mary is not wise then susan is happy or not happy and vice versa. If john is funny then paul is not creative and vice versa. Everyone who is not happy is not patient or happy and vice versa. Everyone who is either not strong or not tall ... | Fred is quiet. | contradiction | ((?[X]:((~creative(X)&quiet(X))))=>((~kind(alice)&kind(alice))))&
((~wise(mary))<=>((happy(susan)|~happy(susan))))&
((funny(john))<=>(~creative(paul)))&
(![X]:(~happy(X)<=>(~patient(X)|happy(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>humble(X)))&
((~strong(fred))<=>(?[X]:((tall(X)<~>creative(X)))))&
(((~tall(lucy)&~kind(l... | quiet(fred) | [
"p0",
"p3",
"p4",
"p5",
"p9",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8002225549088488739763559
% SZS output start Proof for 8002225549088488739763559
1. ? [X0] : (quiet(X0) & ~creative(X0)) => (kind(alice) & ~kind(alice)) [input p0]
4. ! [X0] : (~happy(X0) <=> (happy(X0) | ~patient(X0))) [input p3]
5. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> humble(X0)) [... | 0 |
Everyone who is both not happy and not creative is not tall or funny. Everyone who is both not generous and not rich is not strong and vice versa. Everyone who is brave is both humble and not curious. If alice is either not quiet or quiet then lucy is either not creative or humble. If someone is brave then someone is e... | Mary is rich. | entailment | (![X]:((~happy(X)&~creative(X))=>(~tall(X)|funny(X))))&
(![X]:((~generous(X)&~rich(X))<=>~strong(X)))&
(![X]:(brave(X)=>(humble(X)&~curious(X))))&
(((~quiet(alice)<~>quiet(alice)))=>((~creative(lucy)<~>humble(lucy))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>~rich(X)))))&
((?[X]:((calm(X)&~wise(X))))=>(?[X]:((generous(X... | rich(mary) | [
"p1",
"p2",
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4888071003543266728318826
% SZS output start Proof for 4888071003543266728318826
2. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> ~strong(X0)) [input p1]
3. ! [X0] : (brave(X0) => (~curious(X0) & humble(X0))) [input p2]
7. ! [X0] : ((~strong(X0) | ~brave(X0)) => (~brave(X0) & kind(X0))) [inpu... | 0 |
Everyone who is both not kind and not wise is both not quiet and not rich. Everyone who is generous is either not generous or humble. Everyone who is both calm and not quiet is not humble and vice versa. Everyone who is strong or funny is either not happy or not quiet and vice versa. Everyone who is either not patient ... | Mary is creative. | neutral | (![X]:((~kind(X)&~wise(X))=>(~quiet(X)&~rich(X))))&
(![X]:(generous(X)=>(~generous(X)<~>humble(X))))&
(![X]:((calm(X)&~quiet(X))<=>~humble(X)))&
(![X]:((strong(X)|funny(X))<=>(~happy(X)<~>~quiet(X))))&
(![X]:((~patient(X)<~>happy(X))=>kind(X)))&
(![X]:((~old(X)<~>humble(X))<=>(calm(X)&~old(X))))&
(![X]:((~strong(X)|~ha... | creative(mary) | [] | null | 0 |
Everyone who is quiet or kind is both old and not funny and vice versa.
Everyone who is either generous or not generous is rich or brave.
Everyone who is either brave or not rich is both not strong and curious and vice versa.
Everyone who is both curious and kind is both creative and not generous and vice versa.
If som... | Mary is humble. | neutral | (![X]:((quiet(X)|kind(X))<=>(old(X)&~funny(X))))&
(![X]:((generous(X)<~>~generous(X))=>(rich(X)|brave(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(~strong(X)&curious(X))))&
(![X]:((curious(X)&kind(X))<=>(creative(X)&~generous(X))))&
((?[X]:((rich(X)|creative(X))))<=>((humble(susan)&tall(susan))))&
(![X]:((~wise(X)&kind(X))<=... | humble(mary) | [] | null | 0 |
Everyone who is both happy and kind is either not calm or funny and vice versa.
Everyone who is not old is not generous or quiet and vice versa.
If someone is happy or creative then john is both rich and creative and vice versa.
Everyone who is both not patient and not strong is both not creative and strong.
If paul is... | Paul is not patient. | neutral | (![X]:((happy(X)&kind(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~old(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((happy(X)|creative(X))))<=>((rich(john)&creative(john))))&
(![X]:((~patient(X)&~strong(X))=>(~creative(X)&strong(X))))&
(((~funny(paul)<~>~creative(paul)))=>((humble(lucy)<~>kind(lucy))))&
(((wise(alice)<~>~funny(al... | ~patient(paul) | [] | null | 0 |
If mary is not curious then someone is both strong and not curious and vice versa.
Everyone who is both rich and not patient is tall and vice versa.
If someone is brave then susan is kind.
Everyone who is not curious is both quiet and kind and vice versa.
Everyone who is not creative or not curious is not patient and v... | Alice is not generous. | neutral | ((~curious(mary))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:((rich(X)&~patient(X))<=>tall(X)))&
((?[X]:(brave(X)))=>(kind(susan)))&
(![X]:(~curious(X)<=>(quiet(X)&kind(X))))&
(![X]:((~creative(X)|~curious(X))<=>~patient(X)))&
((?[X]:(~old(X)))<=>((creative(paul)|calm(paul))))&
(![X]:((~funny(X)<~>rich(X))<=>(wise(X)&~... | ~generous(alice) | [] | null | 0 |
If someone is both kind and curious then someone is not tall.
Everyone who is kind is either not creative or generous.
Everyone who is curious or not wise is both patient and humble and vice versa.
Everyone who is rich or not humble is funny or not wise.
Everyone who is rich is not brave or strong.
If mary is quiet or ... | Lucy is humble. | entailment | ((?[X]:((kind(X)&curious(X))))=>(?[X]:(~tall(X))))&
(![X]:(kind(X)=>(~creative(X)<~>generous(X))))&
(![X]:((curious(X)|~wise(X))<=>(patient(X)&humble(X))))&
(![X]:((rich(X)|~humble(X))=>(funny(X)|~wise(X))))&
(![X]:(rich(X)=>(~brave(X)|strong(X))))&
(((quiet(mary)|happy(mary)))<=>((happy(susan)<~>~funny(susan))))&
(![X... | humble(lucy) | [
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1527968883035300034153016
% SZS output start Proof for 1527968883035300034153016
3. ! [X0] : ((~wise(X0) | curious(X0)) <=> (humble(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~humble(X0) | rich(X0)) => (~wise(X0) | funny(X0))) [input p3]
11. ! [X0] : ((funny(X0) | brave(X0)) <=> ~funny(... | 0 |
If someone is generous then someone is both not generous and strong.
Everyone who is not curious or quiet is curious and vice versa.
If someone is either not creative or humble then someone is curious.
If paul is either wise or not strong then alice is either humble or quiet.
If mary is funny then someone is either cur... | Paul is not funny. | neutral | ((?[X]:(generous(X)))=>(?[X]:((~generous(X)&strong(X)))))&
(![X]:((~curious(X)|quiet(X))<=>curious(X)))&
((?[X]:((~creative(X)<~>humble(X))))=>(?[X]:(curious(X))))&
(((wise(paul)<~>~strong(paul)))=>((humble(alice)<~>quiet(alice))))&
((funny(mary))=>(?[X]:((curious(X)<~>patient(X)))))&
((?[X]:(~curious(X)))<=>((~strong(... | ~funny(paul) | [] | null | 0 |
If someone is either not generous or kind then someone is not happy.
If lucy is not strong or not humble then someone is patient or happy.
Everyone who is both brave and creative is not humble and vice versa.
Everyone who is not funny is funny or calm and vice versa.
Everyone who is not funny is creative or rich and vi... | Alice is brave. | neutral | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:(~happy(X))))&
(((~strong(lucy)|~humble(lucy)))=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((brave(X)&creative(X))<=>~humble(X)))&
(![X]:(~funny(X)<=>(funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(creative(X)|rich(X))))&
((?[X]:((curious(X)&wise(X))))<=>((happy(mary)<~>strong(mary))))&... | brave(alice) | [] | null | 0 |
Everyone who is not creative is both not calm and not quiet.
Everyone who is brave or funny is not funny and vice versa.
Everyone who is curious is both not funny and calm and vice versa.
If someone is either tall or kind then lucy is rich and vice versa.
If fred is either not rich or not humble then fred is not strong... | Fred is not tall. | entailment | (![X]:(~creative(X)=>(~calm(X)&~quiet(X))))&
(![X]:((brave(X)|funny(X))<=>~funny(X)))&
(![X]:(curious(X)<=>(~funny(X)&calm(X))))&
((?[X]:((tall(X)<~>kind(X))))<=>(rich(lucy)))&
(((~rich(fred)<~>~humble(fred)))<=>((~strong(fred)|curious(fred))))&
((?[X]:((~quiet(X)<~>happy(X))))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((... | ~tall(fred) | [
"p1",
"p10",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 677878026361428810391021
% SZS output start Proof for 677878026361428810391021
2. ! [X0] : ((funny(X0) | brave(X0)) <=> ~funny(X0)) [input p1]
11. ! [X0] : (calm(X0) <=> (~generous(X0) | ~kind(X0))) [input p10]
22. tall(fred) <~> generous(fred) [input p21]
23. ~calm(fred) | funny(fred) [i... | 0 |
Everyone who is wise or patient is not patient and vice versa.
Everyone who is quiet or kind is not brave or wise and vice versa.
If susan is not happy or not generous then someone is both not generous and kind and vice versa.
Everyone who is brave or not generous is both old and calm and vice versa.
Everyone who is ei... | Lucy is humble. | neutral | (![X]:((wise(X)|patient(X))<=>~patient(X)))&
(![X]:((quiet(X)|kind(X))<=>(~brave(X)|wise(X))))&
(((~happy(susan)|~generous(susan)))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((brave(X)|~generous(X))<=>(old(X)&calm(X))))&
(![X]:((funny(X)<~>rich(X))<=>(generous(X)<~>calm(X))))&
((?[X]:(~rich(X)))=>((~brave(lucy)&tall(lu... | humble(lucy) | [] | null | 0 |
Everyone who is brave is not curious and vice versa. Everyone who is both not tall and not old is quiet or not brave and vice versa. If paul is either not kind or not generous then john is either creative or brave. Everyone who is both not strong and not happy is both brave and humble. If someone is patient or not wise... | John is not humble. | entailment | (![X]:(brave(X)<=>~curious(X)))&
(![X]:((~tall(X)&~old(X))<=>(quiet(X)|~brave(X))))&
(((~kind(paul)<~>~generous(paul)))=>((creative(john)<~>brave(john))))&
(![X]:((~strong(X)&~happy(X))=>(brave(X)&humble(X))))&
((?[X]:((patient(X)|~wise(X))))<=>(kind(fred)))&
((?[X]:(tall(X)))=>(?[X]:((~funny(X)<~>~happy(X)))))&
(![X]:... | ~humble(john) | [
"p0",
"p1",
"p3",
"p8",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8874300816593486720734096
% SZS output start Proof for 8874300816593486720734096
1. ! [X0] : (brave(X0) <=> ~curious(X0)) [input p0]
2. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~brave(X0) | quiet(X0))) [input p1]
4. ! [X0] : ((~happy(X0) & ~strong(X0)) => (humble(X0) & brave(X0))) [input p3]... | 0 |
Everyone who is old is both curious and brave and vice versa. If alice is either wise or not tall then someone is both creative and not humble and vice versa. Everyone who is generous or not patient is not strong. Everyone who is generous is calm or patient and vice versa. Everyone who is not old or rich is both not br... | Mary is not kind. | contradiction | (![X]:(old(X)<=>(curious(X)&brave(X))))&
(((wise(alice)<~>~tall(alice)))<=>(?[X]:((creative(X)&~humble(X)))))&
(![X]:((generous(X)|~patient(X))=>~strong(X)))&
(![X]:(generous(X)<=>(calm(X)|patient(X))))&
(![X]:((~old(X)|rich(X))<=>(~brave(X)&~wise(X))))&
((?[X]:(~happy(X)))=>((brave(alice)<~>tall(alice))))&
((?[X]:((~q... | ~kind(mary) | [
"p2",
"p3",
"p6",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8033326636699802208926933
% SZS output start Proof for 8033326636699802208926933
3. ! [X0] : ((~patient(X0) | generous(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : (generous(X0) <=> (patient(X0) | calm(X0))) [input p3]
7. ? [X0] : (~tall(X0) | ~quiet(X0)) => ? [X0] : (~tall(X0) & strong(X0... | 0 |
If someone is either not kind or not curious then someone is not brave. If someone is calm or strong then someone is either not strong or creative. If someone is not rich or tall then someone is both not patient and curious and vice versa. Everyone who is both not strong and not curious is both calm and not humble and ... | Susan is wise. | entailment | ((?[X]:((~kind(X)<~>~curious(X))))=>(?[X]:(~brave(X))))&
((?[X]:((calm(X)|strong(X))))=>(?[X]:((~strong(X)<~>creative(X)))))&
((?[X]:((~rich(X)|tall(X))))<=>(?[X]:((~patient(X)&curious(X)))))&
(![X]:((~strong(X)&~curious(X))<=>(calm(X)&~humble(X))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~happy(X)&~wise(X))))&
((?[X]:((... | wise(susan) | [
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2935760034480290855782069
% SZS output start Proof for 2935760034480290855782069
4. ! [X0] : ((~curious(X0) & ~strong(X0)) <=> (~humble(X0) & calm(X0))) [input p3]
6. ? [X0] : (calm(X0) & strong(X0)) <=> ? [X0] : ~wise(X0) [input p5]
14. ! [X0] : ((~creative(X0) | humble(X0)) <=> (old(X0)... | 0 |
If someone is either not rich or rich then someone is not curious or creative and vice versa.
If alice is both not quiet and not happy then someone is humble.
If john is both not calm and not curious then john is not strong or patient and vice versa.
If someone is either not quiet or not creative then someone is either... | Fred is creative. | contradiction | ((?[X]:((~rich(X)<~>rich(X))))<=>(?[X]:((~curious(X)|creative(X)))))&
(((~quiet(alice)&~happy(alice)))=>(?[X]:(humble(X))))&
(((~calm(john)&~curious(john)))<=>((~strong(john)|patient(john))))&
((?[X]:((~quiet(X)<~>~creative(X))))=>(?[X]:((~rich(X)<~>~wise(X)))))&
((?[X]:((happy(X)|wise(X))))=>(?[X]:((rich(X)<~>~old(X))... | creative(fred) | [
"p5",
"p6",
"p9",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8130228578027705746498748
% SZS output start Proof for 8130228578027705746498748
6. wise(mary) <=> ? [X0] : (calm(X0) | wise(X0)) [input p5]
7. ! [X0] : ((happy(X0) | creative(X0)) => (tall(X0) & rich(X0))) [input p6]
10. ! [X0] : ((~humble(X0) & ~wise(X0)) <=> ~old(X0)) [input p9]
17. ca... | 0 |
Everyone who is both not generous and not patient is not generous.
If someone is either not creative or not old then someone is both strong and not old and vice versa.
Everyone who is either wise or not happy is either not quiet or not kind.
If susan is creative or not kind then alice is both calm and old.
If someone i... | Alice is not calm. | neutral | (![X]:((~generous(X)&~patient(X))=>~generous(X)))&
((?[X]:((~creative(X)<~>~old(X))))<=>(?[X]:((strong(X)&~old(X)))))&
(![X]:((wise(X)<~>~happy(X))=>(~quiet(X)<~>~kind(X))))&
(((creative(susan)|~kind(susan)))=>((calm(alice)&old(alice))))&
((?[X]:(~rich(X)))=>(?[X]:((~old(X)&brave(X)))))&
(![X]:(rich(X)<=>(~generous(X)<... | ~calm(alice) | [] | null | 0 |
Everyone who is calm is creative or quiet.
If someone is both not patient and not curious then someone is not funny and vice versa.
Everyone who is either not rich or curious is not rich.
If lucy is either not calm or rich then susan is happy.
Everyone who is kind is not strong or not generous.
If someone is happy or n... | Susan is not calm. | contradiction | (![X]:(calm(X)=>(creative(X)|quiet(X))))&
((?[X]:((~patient(X)&~curious(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)<~>curious(X))=>~rich(X)))&
(((~calm(lucy)<~>rich(lucy)))=>(happy(susan)))&
(![X]:(kind(X)=>(~strong(X)|~generous(X))))&
((?[X]:((happy(X)|~creative(X))))=>(?[X]:(~generous(X))))&
(![X]:(funny(X)<=>(humb... | ~calm(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 39931899641474089854104
% SZS output start Proof for 39931899641474089854104
13. ! [X0] : ((~old(X0) & calm(X0)) <=> ~calm(X0)) [input p12]
24. ~calm(susan) [input hypothesis]
66. ! [X0] : (((~old(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (old(X0) | ~calm(X0)))) [nnf transformation 13]
6... | 0 |
Everyone who is either humble or not calm is not happy. Everyone who is happy is humble and vice versa. Everyone who is either not curious or not funny is strong and vice versa. Everyone who is either not kind or not rich is either not happy or brave and vice versa. Everyone who is both not calm and not humble is not r... | Paul is not happy. | contradiction | (![X]:((humble(X)<~>~calm(X))=>~happy(X)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~curious(X)<~>~funny(X))<=>strong(X)))&
(![X]:((~kind(X)<~>~rich(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~calm(X)&~humble(X))<=>(~rich(X)|wise(X))))&
((~calm(alice))<=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:(happy(X)<=>(~curious(X)|~hap... | ~happy(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4987776807740451500517861
% SZS output start Proof for 4987776807740451500517861
7. ! [X0] : (happy(X0) <=> (~happy(X0) | ~curious(X0))) [input p6]
23. ~happy(paul) [input hypothesis]
41. ! [X0] : ((happy(X0) | (happy(X0) & curious(X0))) & ((~happy(X0) | ~curious(X0)) | ~happy(X0))) [nnf ... | 0 |
If someone is kind or strong then mary is not tall.
If someone is not kind then lucy is either kind or patient.
If someone is both not brave and not kind then fred is old or not happy and vice versa.
Everyone who is happy is both tall and strong.
Everyone who is not wise is both funny and not creative.
Everyone who is ... | Lucy is not tall. | entailment | ((?[X]:((kind(X)|strong(X))))=>(~tall(mary)))&
((?[X]:(~kind(X)))=>((kind(lucy)<~>patient(lucy))))&
((?[X]:((~brave(X)&~kind(X))))<=>((old(fred)|~happy(fred))))&
(![X]:(happy(X)=>(tall(X)&strong(X))))&
(![X]:(~wise(X)=>(funny(X)&~creative(X))))&
(![X]:(~brave(X)=>(~tall(X)|humble(X))))&
((?[X]:((~calm(X)&brave(X))))<=>... | ~tall(lucy) | [
"p0",
"p3",
"p7",
"p10",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3451426965381164657299587
% SZS output start Proof for 3451426965381164657299587
1. ? [X0] : (strong(X0) | kind(X0)) => ~tall(mary) [input p0]
4. ! [X0] : (happy(X0) => (strong(X0) & tall(X0))) [input p3]
8. ? [X0] : ~rich(X0) => (brave(mary) <~> ~happy(mary)) [input p7]
11. ? [X0] : (~br... | 0 |
Everyone who is brave or tall is not tall or not humble.
If susan is calm then someone is either not brave or rich and vice versa.
Everyone who is patient or not quiet is both rich and funny and vice versa.
Everyone who is humble is not happy and vice versa.
Everyone who is both calm and not strong is not calm and vice... | Lucy is not calm. | contradiction | (![X]:((brave(X)|tall(X))=>(~tall(X)|~humble(X))))&
((calm(susan))<=>(?[X]:((~brave(X)<~>rich(X)))))&
(![X]:((patient(X)|~quiet(X))<=>(rich(X)&funny(X))))&
(![X]:(humble(X)<=>~happy(X)))&
(![X]:((calm(X)&~strong(X))<=>~calm(X)))&
(![X]:((old(X)|~generous(X))=>rich(X)))&
((?[X]:(~humble(X)))<=>((~kind(lucy)|wise(lucy)))... | ~calm(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5321266297847072653317571
% SZS output start Proof for 5321266297847072653317571
5. ! [X0] : ((~strong(X0) & calm(X0)) <=> ~calm(X0)) [input p4]
25. ~calm(lucy) [input hypothesis]
44. ! [X0] : (((~strong(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (strong(X0) | ~calm(X0)))) [nnf transforma... | 0 |
If lucy is not humble then someone is brave and vice versa. Everyone who is both not patient and not rich is tall and vice versa. If someone is not strong or not brave then someone is either curious or tall. Everyone who is tall or not calm is not brave. If someone is not generous then someone is curious and vice versa... | Mary is wise. | neutral | ((~humble(lucy))<=>(?[X]:(brave(X))))&
(![X]:((~patient(X)&~rich(X))<=>tall(X)))&
((?[X]:((~strong(X)|~brave(X))))=>(?[X]:((curious(X)<~>tall(X)))))&
(![X]:((tall(X)|~calm(X))=>~brave(X)))&
((?[X]:(~generous(X)))<=>(?[X]:(curious(X))))&
((humble(john))<=>(?[X]:((tall(X)&~patient(X)))))&
(((~rich(susan)&~funny(susan)))<... | wise(mary) | [] | null | 0 |
Everyone who is creative is either not old or not quiet.
Everyone who is either not creative or not wise is both rich and not kind.
If paul is both rich and not wise then someone is rich.
If alice is funny then someone is either curious or not funny.
If alice is not tall then someone is not old and vice versa.
If lucy ... | Lucy is not happy. | neutral | (![X]:(creative(X)=>(~old(X)<~>~quiet(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(rich(X)&~kind(X))))&
(((rich(paul)&~wise(paul)))=>(?[X]:(rich(X))))&
((funny(alice))=>(?[X]:((curious(X)<~>~funny(X)))))&
((~tall(alice))<=>(?[X]:(~old(X))))&
(((patient(lucy)&~rich(lucy)))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
((?[X]:(~ol... | ~happy(lucy) | [] | null | 0 |
If someone is quiet then paul is not curious and vice versa.
Everyone who is kind or not tall is either strong or not calm and vice versa.
If john is either quiet or patient then someone is both happy and creative and vice versa.
Everyone who is either not curious or not kind is both brave and not old and vice versa.
I... | Mary is strong. | entailment | ((?[X]:(quiet(X)))<=>(~curious(paul)))&
(![X]:((kind(X)|~tall(X))<=>(strong(X)<~>~calm(X))))&
(((quiet(john)<~>patient(john)))<=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((~curious(X)<~>~kind(X))<=>(brave(X)&~old(X))))&
((?[X]:((~old(X)<~>~tall(X))))=>((~generous(fred)&creative(fred))))&
(![X]:((~funny(X)|~brave(X))<=>(... | strong(mary) | [
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 862190282714284987676140
% SZS output start Proof for 862190282714284987676140
9. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~generous(X0) <~> ~happy(X0))) [input p8]
13. ! [X0] : ((~kind(X0) & old(X0)) <=> (~old(X0) | generous(X0))) [input p12]
16. ! [X0] : ((~generous(X0) | ~happy(X0)) <=>... | 0 |
If someone is either brave or not calm then susan is both not quiet and not kind and vice versa.
Everyone who is not calm or not rich is either strong or humble.
If someone is not curious or not brave then fred is both not creative and generous and vice versa.
Everyone who is not brave or curious is both generous and n... | Susan is quiet. | entailment | ((?[X]:((brave(X)<~>~calm(X))))<=>((~quiet(susan)&~kind(susan))))&
(![X]:((~calm(X)|~rich(X))=>(strong(X)<~>humble(X))))&
((?[X]:((~curious(X)|~brave(X))))<=>((~creative(fred)&generous(fred))))&
(![X]:((~brave(X)|curious(X))=>(generous(X)&~happy(X))))&
((rich(fred))=>(?[X]:((~creative(X)|funny(X)))))&
(![X]:((funny(X)<... | quiet(susan) | [
"p3",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 96045180376473460957369
% SZS output start Proof for 96045180376473460957369
4. ! [X0] : ((curious(X0) | ~brave(X0)) => (~happy(X0) & generous(X0))) [input p3]
11. ! [X0] : ((quiet(X0) | happy(X0)) <=> (~tall(X0) <~> tall(X0))) [input p10]
22. curious(susan) <~> quiet(susan) [input p21]
2... | 0 |
If someone is not rich then someone is not generous or curious and vice versa.
Everyone who is both quiet and creative is rich.
If lucy is both creative and not curious then paul is both happy and not old and vice versa.
If someone is both curious and not creative then someone is both happy and brave and vice versa.
If... | Paul is creative. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((quiet(X)&creative(X))=>rich(X)))&
(((creative(lucy)&~curious(lucy)))<=>((happy(paul)&~old(paul))))&
((?[X]:((curious(X)&~creative(X))))<=>(?[X]:((happy(X)&brave(X)))))&
(((old(lucy)<~>kind(lucy)))=>(?[X]:(brave(X))))&
(![X]:((~rich(X)|curious(X))<=>(funn... | creative(paul) | [] | null | 0 |
Everyone who is both brave and humble is both not calm and not wise and vice versa. Everyone who is not humble is curious. Everyone who is not wise or not calm is both wise and not rich. Everyone who is either strong or generous is wise or not curious and vice versa. Everyone who is both wise and not strong is either n... | Lucy is curious. | neutral | (![X]:((brave(X)&humble(X))<=>(~calm(X)&~wise(X))))&
(![X]:(~humble(X)=>curious(X)))&
(![X]:((~wise(X)|~calm(X))=>(wise(X)&~rich(X))))&
(![X]:((strong(X)<~>generous(X))<=>(wise(X)|~curious(X))))&
(![X]:((wise(X)&~strong(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:(tall(X)=>(~patient(X)|~brave(X))))&
((?[X]:(~strong(X)))=>(... | curious(lucy) | [] | null | 0 |
If someone is rich then someone is not generous or not rich. If someone is either not old or not humble then someone is both not humble and not tall and vice versa. Everyone who is both not quiet and patient is humble. Everyone who is both not humble and brave is either old or not tall. If someone is curious or funny t... | Paul is not patient. | entailment | ((?[X]:(rich(X)))=>(?[X]:((~generous(X)|~rich(X)))))&
((?[X]:((~old(X)<~>~humble(X))))<=>(?[X]:((~humble(X)&~tall(X)))))&
(![X]:((~quiet(X)&patient(X))=>humble(X)))&
(![X]:((~humble(X)&brave(X))=>(old(X)<~>~tall(X))))&
((?[X]:((curious(X)|funny(X))))=>(patient(john)))&
(![X]:((humble(X)&strong(X))<=>(~curious(X)|curiou... | ~patient(paul) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5399740356753899984955150
% SZS output start Proof for 5399740356753899984955150
6. ! [X0] : ((strong(X0) & humble(X0)) <=> (curious(X0) | ~curious(X0))) [input p5]
7. ! [X0] : ((humble(X0) | kind(X0)) => (calm(X0) & ~patient(X0))) [input p6]
25. patient(paul) [input hypothesis]
37. ! [X0... | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Paul is humble. | entailment | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | humble(paul) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1294180078260606194481675
% SZS output start Proof for 1294180078260606194481675
2. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> (~calm(X0) <~> calm(X0))) [input p1]
4. ? [X0] : (tall(X0) | ~curious(X0)) => (~curious(fred) | ~old(fred)) [input p3]
5. ~curious(lucy) <=> ? [X0] : (~quiet(X0) ... | 0 |
Everyone who is either not creative or humble is not strong or not patient and vice versa.
Everyone who is either patient or kind is either strong or happy.
Everyone who is either wise or happy is happy.
If someone is not rich or kind then lucy is curious and vice versa.
Everyone who is either not strong or not quiet i... | John is not creative. | entailment | (![X]:((~creative(X)<~>humble(X))<=>(~strong(X)|~patient(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))=>happy(X)))&
((?[X]:((~rich(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~strong(X)<~>~quiet(X))<=>~rich(X)))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:(~rich(X))))&
(![X]:(~cu... | ~creative(john) | [
"p6",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3448097526290704891116380
% SZS output start Proof for 3448097526290704891116380
7. ! [X0] : (~curious(X0) <=> (~patient(X0) | creative(X0))) [input p6]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (generous(X0) & ~funny(X0))) [input p9]
12. generous(fred) <=> funny(john) [input p11]
13. ... | 0 |
Everyone who is not generous or creative is not quiet and vice versa.
If someone is both brave and rich then john is old.
If alice is both patient and kind then john is either not old or not quiet.
If mary is not wise or not patient then susan is old or brave.
If alice is funny or not curious then someone is not wise a... | John is tall. | entailment | (![X]:((~generous(X)|creative(X))<=>~quiet(X)))&
((?[X]:((brave(X)&rich(X))))=>(old(john)))&
(((patient(alice)&kind(alice)))=>((~old(john)<~>~quiet(john))))&
(((~wise(mary)|~patient(mary)))=>((old(susan)|brave(susan))))&
(((funny(alice)|~curious(alice)))<=>(?[X]:(~wise(X))))&
(![X]:((generous(X)&~tall(X))<=>patient(X))... | tall(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5041019918362459532933967
% SZS output start Proof for 5041019918362459532933967
10. ! [X0] : (tall(X0) <=> (~kind(X0) | ~tall(X0))) [input p9]
25. ~tall(john) [input hypothesis]
54. ! [X0] : ((tall(X0) | (kind(X0) & tall(X0))) & ((~kind(X0) | ~tall(X0)) | ~tall(X0))) [nnf transformation ... | 0 |
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