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 not calm is either not creative or kind.
Everyone who is calm is both funny and humble and vice versa.
Everyone who is both brave and not wise is either calm or not tall.
If someone is not strong then susan is both rich and old and vice versa.
If fred is either tall or not calm then someone is either no... | Fred is not calm. | neutral | (![X]:(~calm(X)=>(~creative(X)<~>kind(X))))&
(![X]:(calm(X)<=>(funny(X)&humble(X))))&
(![X]:((brave(X)&~wise(X))=>(calm(X)<~>~tall(X))))&
((?[X]:(~strong(X)))<=>((rich(susan)&old(susan))))&
(((tall(fred)<~>~calm(fred)))<=>(?[X]:((~calm(X)<~>~funny(X)))))&
(((~happy(susan)<~>quiet(susan)))<=>(?[X]:((happy(X)|kind(X)))))... | ~calm(fred) | [] | null | 0 |
Everyone who is calm or not quiet is generous or not funny and vice versa.
If susan is both not curious and humble then mary is either not curious or happy.
Everyone who is wise or not generous is both brave and not wise and vice versa.
Everyone who is either rich or not strong is both not generous and not wise and vic... | Alice is not rich. | contradiction | (![X]:((calm(X)|~quiet(X))<=>(generous(X)|~funny(X))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~wise(X))))&
(![X]:((funny(X)&kind(X))<=>~calm(X)))&
(![X]:(strong(X)<=>(calm(X)<~>generous(... | ~rich(alice) | [
"p2",
"p3",
"p4",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5835130562381806736841021
% SZS output start Proof for 5835130562381806736841021
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
If mary is both rich and old then john is not kind or not calm and vice versa.
If someone is curious then lucy is both kind and not humble.
Everyone who is both old and funny is not creative and vice versa.
Everyone who is both brave and not curious is not patient and vice versa.
If susan is both happy and quiet then a... | Paul is strong. | neutral | (((rich(mary)&old(mary)))<=>((~kind(john)|~calm(john))))&
((?[X]:(curious(X)))=>((kind(lucy)&~humble(lucy))))&
(![X]:((old(X)&funny(X))<=>~creative(X)))&
(![X]:((brave(X)&~curious(X))<=>~patient(X)))&
(((happy(susan)&quiet(susan)))<=>((~generous(alice)|quiet(alice))))&
(![X]:(~kind(X)=>(rich(X)&curious(X))))&
((~strong... | strong(paul) | [] | null | 0 |
If john is not patient then susan is patient or not strong. Everyone who is not tall is funny and vice versa. Everyone who is both curious and not kind is either not strong or not quiet. Everyone who is funny is both not brave and not happy. If lucy is either not quiet or calm then john is not creative. Everyone who is... | Lucy is not wise. | entailment | ((~patient(john))=>((patient(susan)|~strong(susan))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((curious(X)&~kind(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:(funny(X)=>(~brave(X)&~happy(X))))&
(((~quiet(lucy)<~>calm(lucy)))=>(~creative(john)))&
(![X]:((~funny(X)&~wise(X))<=>(tall(X)&quiet(X))))&
((~curious(alice))=>(?[X]:((~ca... | ~wise(lucy) | [
"p1",
"p3",
"p5",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4305442468749216035627668
% SZS output start Proof for 4305442468749216035627668
2. ! [X0] : (~tall(X0) <=> funny(X0)) [input p1]
4. ! [X0] : (funny(X0) => (~happy(X0) & ~brave(X0))) [input p3]
6. ! [X0] : ((~wise(X0) & ~funny(X0)) <=> (quiet(X0) & tall(X0))) [input p5]
12. ! [X0] : (~cal... | 0 |
If fred is either not calm or not curious then alice is strong or not funny and vice versa. Everyone who is not patient is not quiet or old. Everyone who is strong is happy or old. If lucy is not calm or not humble then john is both not happy and patient. If susan is not rich then someone is either quiet or not old and... | Alice is wise. | entailment | (((~calm(fred)<~>~curious(fred)))<=>((strong(alice)|~funny(alice))))&
(![X]:(~patient(X)=>(~quiet(X)|old(X))))&
(![X]:(strong(X)=>(happy(X)|old(X))))&
(((~calm(lucy)|~humble(lucy)))=>((~happy(john)&patient(john))))&
((~rich(susan))<=>(?[X]:((quiet(X)<~>~old(X)))))&
((?[X]:((~humble(X)<~>humble(X))))<=>((wise(paul)|quie... | wise(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8270200989540925304342810
% SZS output start Proof for 8270200989540925304342810
20. strong(alice) & wise(alice) [input p19]
25. ~wise(alice) [input hypothesis]
132. wise(alice) [cnf transformation 20]
138. ~wise(alice) [cnf transformation 25]
303. 34 <=> wise(alice) [avatar definition]
3... | 0 |
If alice is kind then someone is humble or not curious.
Everyone who is both funny and not happy is creative.
Everyone who is patient is both wise and patient.
Everyone who is either happy or brave is both not generous and rich and vice versa.
If lucy is not tall then lucy is humble and vice versa.
Everyone who is eith... | John is wise. | entailment | ((kind(alice))=>(?[X]:((humble(X)|~curious(X)))))&
(![X]:((funny(X)&~happy(X))=>creative(X)))&
(![X]:(patient(X)=>(wise(X)&patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X))))&
... | wise(john) | [
"p2",
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3598039960568060276886572
% SZS output start Proof for 3598039960568060276886572
3. ! [X0] : (patient(X0) => (patient(X0) & wise(X0))) [input p2]
6. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p5]
9. ! [X0] : (strong(X0) <=> (~quiet(X0) & creative(X0))) [input p8]
... | 0 |
Everyone who is creative or not strong is not happy. Everyone who is both patient and not rich is not happy. Everyone who is either not kind or not curious is either not patient or not old. If alice is kind or not humble then lucy is patient. If someone is either kind or patient then someone is either not kind or tall.... | Susan is curious. | neutral | (![X]:((creative(X)|~strong(X))=>~happy(X)))&
(![X]:((patient(X)&~rich(X))=>~happy(X)))&
(![X]:((~kind(X)<~>~curious(X))=>(~patient(X)<~>~old(X))))&
(((kind(alice)|~humble(alice)))=>(patient(lucy)))&
((?[X]:((kind(X)<~>patient(X))))=>(?[X]:((~kind(X)<~>tall(X)))))&
(![X]:((old(X)&curious(X))=>(~patient(X)&~funny(X))))&... | curious(susan) | [] | null | 0 |
Everyone who is not generous or not calm is not curious.
If someone is curious or not strong then paul is not patient.
If someone is either tall or brave then alice is not tall or patient and vice versa.
Everyone who is rich or tall is funny or not quiet and vice versa.
Everyone who is both not patient and rich is curi... | Alice is not creative. | entailment | (![X]:((~generous(X)|~calm(X))=>~curious(X)))&
((?[X]:((curious(X)|~strong(X))))=>(~patient(paul)))&
((?[X]:((tall(X)<~>brave(X))))<=>((~tall(alice)|patient(alice))))&
(![X]:((rich(X)|tall(X))<=>(funny(X)|~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curious(X)|quiet(X))))&
((?[X]:((~generous(X)&~quiet(X))))=>(?[X]:((t... | ~creative(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3173573772502860012284669
% SZS output start Proof for 3173573772502860012284669
13. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p12]
21. creative(alice) [input hypothesis]
54. ! [X0] : ((patient(X0) | (~creative(X0) | patient(X0))) & ((creative(X0) & ~patient(X0)) | ~... | 0 |
If susan is not curious or not creative then someone is both not patient and not generous and vice versa.
Everyone who is either not brave or funny is happy or generous.
Everyone who is not generous is either not funny or kind and vice versa.
Everyone who is not curious or not tall is either not curious or tall and vic... | Fred is not patient. | neutral | (((~curious(susan)|~creative(susan)))<=>(?[X]:((~patient(X)&~generous(X)))))&
(![X]:((~brave(X)<~>funny(X))=>(happy(X)|generous(X))))&
(![X]:(~generous(X)<=>(~funny(X)<~>kind(X))))&
(![X]:((~curious(X)|~tall(X))<=>(~curious(X)<~>tall(X))))&
((?[X]:((~calm(X)&~rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((old(X)&~bra... | ~patient(fred) | [] | null | 0 |
If mary is either not strong or not tall then susan is either not calm or not wise. Everyone who is either not rich or not wise is not quiet and vice versa. If mary is either not curious or happy then mary is both brave and humble and vice versa. Everyone who is not old is not patient or not curious. Everyone who is ei... | Alice is kind. | entailment | (((~strong(mary)<~>~tall(mary)))=>((~calm(susan)<~>~wise(susan))))&
(![X]:((~rich(X)<~>~wise(X))<=>~quiet(X)))&
(((~curious(mary)<~>happy(mary)))<=>((brave(mary)&humble(mary))))&
(![X]:(~old(X)=>(~patient(X)|~curious(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~rich(X)|brave(X))))&
((?[X]:((calm(X)<~>~funny(X))))<=>((~cal... | kind(alice) | [
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 684010427287225822206186
% SZS output start Proof for 684010427287225822206186
7. ! [X0] : (~generous(X0) <=> (~kind(X0) | ~happy(X0))) [input p6]
9. ! [X0] : (~generous(X0) <=> (curious(X0) <~> ~kind(X0))) [input p8]
16. ! [X0] : ((curious(X0) <~> ~generous(X0)) => (kind(X0) & old(X0))) ... | 0 |
Everyone who is funny or humble is humble and vice versa.
Everyone who is not tall or not generous is not tall.
If someone is either not quiet or not creative then alice is not calm or not tall and vice versa.
Everyone who is both not funny and not curious is not generous or generous.
Everyone who is not calm is either... | John is curious. | contradiction | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~tall(X)|~generous(X))=>~tall(X)))&
((?[X]:((~quiet(X)<~>~creative(X))))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humb... | curious(john) | [
"p1",
"p5",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2479154237883029148732084
% SZS output start Proof for 2479154237883029148732084
2. ! [X0] : ((~generous(X0) | ~tall(X0)) => ~tall(X0)) [input p1]
6. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (old(X0) | funny(X0))) [input p5]
10. ! [X0] : ((quiet(X0) <~> ~generous(X0)) => (~wise(X0) & ~curiou... | 0 |
Everyone who is not rich is creative.
Everyone who is either tall or funny is not generous.
Everyone who is quiet is both patient and not rich and vice versa.
Everyone who is either quiet or not old is strong or not humble.
Everyone who is patient or curious is both curious and strong and vice versa.
Everyone who is no... | Mary is quiet. | contradiction | (![X]:(~rich(X)=>creative(X)))&
(![X]:((tall(X)<~>funny(X))=>~generous(X)))&
(![X]:(quiet(X)<=>(patient(X)&~rich(X))))&
(![X]:((quiet(X)<~>~old(X))=>(strong(X)|~humble(X))))&
(![X]:((patient(X)|curious(X))<=>(curious(X)&strong(X))))&
(![X]:((~kind(X)|~patient(X))<=>~humble(X)))&
(![X]:(~calm(X)=>(~creative(X)|wise(X)))... | quiet(mary) | [
"p0",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 47738588634161517935037
% SZS output start Proof for 47738588634161517935037
1. ! [X0] : (~rich(X0) => creative(X0)) [input p0]
3. ! [X0] : (quiet(X0) <=> (~rich(X0) & patient(X0))) [input p2]
11. ! [X0] : ((~rich(X0) | patient(X0)) => ~creative(X0)) [input p10]
24. quiet(mary) [input hyp... | 0 |
If john is both not old and strong then fred is either not tall or not kind and vice versa. Everyone who is not strong is both brave and old. If someone is not strong or not calm then someone is not tall. If someone is not creative then someone is not strong and vice versa. Everyone who is not curious or tall is either... | Paul is not humble. | entailment | (((~old(john)&strong(john)))<=>((~tall(fred)<~>~kind(fred))))&
(![X]:(~strong(X)=>(brave(X)&old(X))))&
((?[X]:((~strong(X)|~calm(X))))=>(?[X]:(~tall(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~strong(X))))&
(![X]:((~curious(X)|tall(X))<=>(humble(X)<~>kind(X))))&
((?[X]:((tall(X)|creative(X))))<=>(?[X]:((~humble(X)&~calm(X)... | ~humble(paul) | [
"p4",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 709671506838837676950060
% SZS output start Proof for 709671506838837676950060
5. ! [X0] : ((tall(X0) | ~curious(X0)) <=> (humble(X0) <~> kind(X0))) [input p4]
20. tall(paul) [input p19]
22. kind(paul) & brave(paul) [input p21]
25. humble(paul) [input hypothesis]
48. ! [X0] : (((tall(X0) ... | 0 |
Everyone who is either calm or not happy is both not generous and humble and vice versa.
If someone is not creative then mary is either old or tall.
Everyone who is both curious and not creative is either not brave or not quiet.
Everyone who is either not old or not kind is both not rich and brave and vice versa.
If so... | Susan is quiet. | entailment | (![X]:((calm(X)<~>~happy(X))<=>(~generous(X)&humble(X))))&
((?[X]:(~creative(X)))=>((old(mary)<~>tall(mary))))&
(![X]:((curious(X)&~creative(X))=>(~brave(X)<~>~quiet(X))))&
(![X]:((~old(X)<~>~kind(X))<=>(~rich(X)&brave(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~quiet(X)<~>kind(X))=>(~... | quiet(susan) | [
"p5",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 891038432964613657717843
% SZS output start Proof for 891038432964613657717843
6. ! [X0] : ((~quiet(X0) <~> kind(X0)) => (~strong(X0) <~> brave(X0))) [input p5]
9. ? [X0] : (creative(X0) | ~tall(X0)) <=> (strong(paul) & ~brave(paul)) [input p8]
11. ! [X0] : ((~tall(X0) | ~curious(X0)) => ... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is humble or brave is kind.
If someone is not strong then alice is quiet.
Everyone who is not strong is both not creative and curious and vice versa.
Everyone who is not calm is old or not creative and vice versa.
If paul is funny or not t... | Paul is not humble. | neutral | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((humble(X)|brave(X))=>kind(X)))&
((?[X]:(~strong(X)))=>(quiet(alice)))&
(![X]:(~strong(X)<=>(~creative(X)&curious(X))))&
(![X]:(~calm(X)<=>(old(X)|~creative(X))))&
(((funny(paul)|~tall(paul)))=>((rich(paul)|happy(paul))))&
((?[X]:((~happy(X)<~>brave(X))))=>((tall(pa... | ~humble(paul) | [] | null | 0 |
If fred is rich then someone is not kind and vice versa.
Everyone who is patient is either wise or not funny.
If someone is either strong or not funny then someone is both rich and funny and vice versa.
If someone is not funny or happy then someone is not tall.
Everyone who is either not calm or brave is not brave.
Eve... | John is not patient. | entailment | ((rich(fred))<=>(?[X]:(~kind(X))))&
(![X]:(patient(X)=>(wise(X)<~>~funny(X))))&
((?[X]:((strong(X)<~>~funny(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~funny(X)|happy(X))))=>(?[X]:(~tall(X))))&
(![X]:((~calm(X)<~>brave(X))=>~brave(X)))&
(![X]:((~tall(X)&~rich(X))=>(patient(X)&rich(X))))&
(![X]:((~brave(X)|happy(X))... | ~patient(john) | [
"p1",
"p6",
"p13",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3079586257759729997182151
% SZS output start Proof for 3079586257759729997182151
2. ! [X0] : (patient(X0) => (wise(X0) <~> ~funny(X0))) [input p1]
7. ! [X0] : ((happy(X0) | ~brave(X0)) => (funny(X0) & ~kind(X0))) [input p6]
14. ! [X0] : (wise(X0) <=> (quiet(X0) & patient(X0))) [input p13]... | 0 |
Everyone who is calm is either calm or strong and vice versa.
Everyone who is brave is either happy or not generous.
Everyone who is curious is kind.
If mary is not brave then someone is either humble or brave and vice versa.
Everyone who is either humble or happy is either not rich or not humble and vice versa.
If ali... | Lucy is not brave. | neutral | (![X]:(calm(X)<=>(calm(X)<~>strong(X))))&
(![X]:(brave(X)=>(happy(X)<~>~generous(X))))&
(![X]:(curious(X)=>kind(X)))&
((~brave(mary))<=>(?[X]:((humble(X)<~>brave(X)))))&
(![X]:((humble(X)<~>happy(X))<=>(~rich(X)<~>~humble(X))))&
(((tall(alice)&kind(alice)))<=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~tall(X))<=>(gener... | ~brave(lucy) | [] | null | 0 |
Everyone who is not tall is both brave and quiet and vice versa. Everyone who is both not happy and strong is either creative or patient and vice versa. If alice is either not rich or strong then paul is both kind and humble. Everyone who is either not curious or not rich is either wise or not wise and vice versa. If s... | Fred is humble. | neutral | (![X]:(~tall(X)<=>(brave(X)&quiet(X))))&
(![X]:((~happy(X)&strong(X))<=>(creative(X)<~>patient(X))))&
(((~rich(alice)<~>strong(alice)))=>((kind(paul)&humble(paul))))&
(![X]:((~curious(X)<~>~rich(X))<=>(wise(X)<~>~wise(X))))&
((?[X]:((~wise(X)|~calm(X))))=>((humble(susan)&strong(susan))))&
(![X]:((~old(X)|curious(X))<=>... | humble(fred) | [] | null | 0 |
If someone is humble then fred is not patient or not happy and vice versa. If someone is not brave then fred is both rich and quiet and vice versa. Everyone who is either quiet or not curious is rich or not rich and vice versa. Everyone who is both generous and creative is either not old or old and vice versa. If fred ... | Mary is old. | neutral | ((?[X]:(humble(X)))<=>((~patient(fred)|~happy(fred))))&
((?[X]:(~brave(X)))<=>((rich(fred)&quiet(fred))))&
(![X]:((quiet(X)<~>~curious(X))<=>(rich(X)|~rich(X))))&
(![X]:((generous(X)&creative(X))<=>(~old(X)<~>old(X))))&
(((humble(fred)|~patient(fred)))<=>(?[X]:((~tall(X)<~>~kind(X)))))&
((?[X]:(happy(X)))=>((happy(alic... | old(mary) | [] | null | 0 |
Everyone who is not rich or tall is both calm and not old and vice versa.
If someone is either not calm or not generous then john is either rich or calm.
Everyone who is either generous or not patient is either not happy or not curious and vice versa.
Everyone who is calm is not wise or not calm.
If someone is both tal... | Mary is curious. | contradiction | (![X]:((~rich(X)|tall(X))<=>(calm(X)&~old(X))))&
((?[X]:((~calm(X)<~>~generous(X))))=>((rich(john)<~>calm(john))))&
(![X]:((generous(X)<~>~patient(X))<=>(~happy(X)<~>~curious(X))))&
(![X]:(calm(X)=>(~wise(X)|~calm(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(((~kind(mary)&~wise(mary))... | curious(mary) | [
"p2",
"p6",
"p7",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3392823923980134844874423
% SZS output start Proof for 3392823923980134844874423
3. ! [X0] : ((generous(X0) <~> ~patient(X0)) <=> (~happy(X0) <~> ~curious(X0))) [input p2]
7. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~tall(X0)) [input p6]
8. ! [X0] : ((~generous(X0) | quiet(X0)) <=> (~kin... | 0 |
If someone is old then someone is generous.
If paul is both quiet and creative then susan is not funny.
Everyone who is both brave and funny is happy or tall.
Everyone who is either not funny or not rich is both not rich and not tall.
Everyone who is either not brave or wise is humble and vice versa.
If someone is both... | John is strong. | entailment | ((?[X]:(old(X)))=>(?[X]:(generous(X))))&
(((quiet(paul)&creative(paul)))=>(~funny(susan)))&
(![X]:((brave(X)&funny(X))=>(happy(X)|tall(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~rich(X)&~tall(X))))&
(![X]:((~brave(X)<~>wise(X))<=>humble(X)))&
((?[X]:((brave(X)&~patient(X))))<=>((brave(lucy)<~>~kind(lucy))))&
(![X]:((~rich... | strong(john) | [
"p3",
"p10",
"p11",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4966996487215415447164039
% SZS output start Proof for 4966996487215415447164039
4. ! [X0] : ((~funny(X0) <~> ~rich(X0)) => (~tall(X0) & ~rich(X0))) [input p3]
11. ! [X0] : ((~generous(X0) | ~happy(X0)) => old(X0)) [input p10]
12. ! [X0] : ((~strong(X0) <~> ~funny(X0)) <=> (curious(X0) & ... | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa. If someone is happy or not kind then someone is either tall or kind. Everyone who is strong is both not kind and old and vice versa. Everyone who is creative or not strong is not calm or not happy. If someone is either not kind... | Fred is kind. | neutral | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((happy(X)|~kind(X))))=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:(strong(X)<=>(~kind(X)&old(X))))&
(![X]:((creative(X)|~strong(X))=>(~calm(X)|~happy(X))))&
((?[X]:((~kind(X)<~>patient(X))))=>((~happy(susan)&wise(susan))))&
(![X]:(old(X)=>(~strong(X)&strong(... | kind(fred) | [] | null | 0 |
Everyone who is either tall or humble is either not brave or curious.
If someone is either patient or not kind then mary is either curious or calm and vice versa.
Everyone who is either not funny or not brave is either happy or strong and vice versa.
If someone is kind or calm then john is either rich or curious.
If so... | Mary is not funny. | entailment | (![X]:((tall(X)<~>humble(X))=>(~brave(X)<~>curious(X))))&
((?[X]:((patient(X)<~>~kind(X))))<=>((curious(mary)<~>calm(mary))))&
(![X]:((~funny(X)<~>~brave(X))<=>(happy(X)<~>strong(X))))&
((?[X]:((kind(X)|calm(X))))=>((rich(john)<~>curious(john))))&
((?[X]:((tall(X)|kind(X))))=>(~creative(alice)))&
(((~creative(paul)&qui... | ~funny(mary) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3988013242508600361963782
% SZS output start Proof for 3988013242508600361963782
5. ? [X0] : (kind(X0) | tall(X0)) => ~creative(alice) [input p4]
8. ! [X0] : (~strong(X0) <=> (strong(X0) | creative(X0))) [input p7]
10. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (funny(X0) & ~kind(X0))) [inpu... | 0 |
Everyone who is not old is not strong.
Everyone who is either old or kind is patient or not happy and vice versa.
Everyone who is both not brave and not rich is not wise.
If someone is both not patient and not curious then someone is not brave and vice versa.
If someone is brave or not tall then someone is either not w... | Alice is not generous. | entailment | (![X]:(~old(X)=>~strong(X)))&
(![X]:((old(X)<~>kind(X))<=>(patient(X)|~happy(X))))&
(![X]:((~brave(X)&~rich(X))=>~wise(X)))&
((?[X]:((~patient(X)&~curious(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((brave(X)|~tall(X))))=>(?[X]:((~wise(X)<~>generous(X)))))&
(![X]:((strong(X)&generous(X))=>~kind(X)))&
(((rich(john)&wise(john))... | ~generous(alice) | [
"p0",
"p1",
"p6",
"p9",
"p10",
"p11",
"p15",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2419540996511286312747086
% SZS output start Proof for 2419540996511286312747086
1. ! [X0] : (~old(X0) => ~strong(X0)) [input p0]
2. ! [X0] : ((old(X0) <~> kind(X0)) <=> (~happy(X0) | patient(X0))) [input p1]
7. (wise(john) & rich(john)) <=> (~brave(alice) & kind(alice)) [input p6]
10. ! ... | 0 |
If lucy is wise then fred is either kind or brave and vice versa.
Everyone who is either not calm or strong is both wise and not happy and vice versa.
Everyone who is creative is both creative and not strong and vice versa.
Everyone who is happy or curious is brave.
If mary is not curious then paul is not tall.
Everyon... | Paul is tall. | contradiction | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>(wise(X)&~happy(X))))&
(![X]:(creative(X)<=>(creative(X)&~strong(X))))&
(![X]:((happy(X)|curious(X))=>brave(X)))&
((~curious(mary))=>(~tall(paul)))&
(![X]:((~curious(X)&~happy(X))=>(~curious(X)<~>old(X))))&
(![X]:(happy(X)=>strong(X)))&
((~f... | tall(paul) | [
"p1",
"p6",
"p9",
"p13",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7393205512134638707375557
% SZS output start Proof for 7393205512134638707375557
2. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> (~happy(X0) & wise(X0))) [input p1]
7. ! [X0] : (happy(X0) => strong(X0)) [input p6]
10. ! [X0] : ((generous(X0) | tall(X0)) <=> calm(X0)) [input p9]
14. ! [X0] : (... | 0 |
Everyone who is either not strong or not funny is either generous or wise. If someone is funny or not brave then lucy is rich and vice versa. Everyone who is either not creative or not happy is rich and vice versa. Everyone who is either patient or not old is both generous and humble and vice versa. Everyone who is not... | Fred is not quiet. | neutral | (![X]:((~strong(X)<~>~funny(X))=>(generous(X)<~>wise(X))))&
((?[X]:((funny(X)|~brave(X))))<=>(rich(lucy)))&
(![X]:((~creative(X)<~>~happy(X))<=>rich(X)))&
(![X]:((patient(X)<~>~old(X))<=>(generous(X)&humble(X))))&
(![X]:(~rich(X)<=>(patient(X)<~>~happy(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~calm(X))))&
(![X]:((funny(X)<~... | ~quiet(fred) | [] | null | 0 |
Everyone who is creative or not creative is not humble or happy.
Everyone who is either not humble or wise is not kind and vice versa.
Everyone who is not generous or happy is not creative.
If lucy is both generous and strong then someone is wise or quiet and vice versa.
If john is happy or not creative then mary is br... | Fred is not humble. | entailment | (![X]:((creative(X)|~creative(X))=>(~humble(X)|happy(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~kind(X)))&
(![X]:((~generous(X)|happy(X))=>~creative(X)))&
(((generous(lucy)&strong(lucy)))<=>(?[X]:((wise(X)|quiet(X)))))&
(((happy(john)|~creative(john)))=>(brave(mary)))&
(![X]:((curious(X)|strong(X))=>~generous(X)))&
((?[X]... | ~humble(fred) | [
"p0",
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3771681764267805936356046
% SZS output start Proof for 3771681764267805936356046
1. ! [X0] : ((~creative(X0) | creative(X0)) => (happy(X0) | ~humble(X0))) [input p0]
3. ! [X0] : ((happy(X0) | ~generous(X0)) => ~creative(X0)) [input p2]
17. brave(fred) & creative(fred) [input p16]
25. humb... | 0 |
Everyone who is both humble and tall is both not happy and wise.
Everyone who is both kind and not kind is either not curious or not tall.
Everyone who is not happy or strong is not generous and vice versa.
If mary is not funny then someone is both funny and not generous.
Everyone who is not strong or not funny is both... | Fred is not kind. | entailment | (![X]:((humble(X)&tall(X))=>(~happy(X)&wise(X))))&
(![X]:((kind(X)&~kind(X))=>(~curious(X)<~>~tall(X))))&
(![X]:((~happy(X)|strong(X))<=>~generous(X)))&
((~funny(mary))=>(?[X]:((funny(X)&~generous(X)))))&
(![X]:((~strong(X)|~funny(X))<=>(~creative(X)&patient(X))))&
(![X]:((~old(X)&~strong(X))=>(~rich(X)|~kind(X))))&
(!... | ~kind(fred) | [
"p2",
"p4",
"p6",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 825660738369625558203995
% SZS output start Proof for 825660738369625558203995
3. ! [X0] : ((strong(X0) | ~happy(X0)) <=> ~generous(X0)) [input p2]
5. ! [X0] : ((~funny(X0) | ~strong(X0)) <=> (patient(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~strong(X0) <~> ~creative(X0)) <=> creati... | 0 |
If mary is happy or not old then fred is either not quiet or kind and vice versa. Everyone who is wise is not generous or not quiet. If someone is either not creative or not quiet then fred is either funny or quiet. If someone is quiet or not kind then paul is not rich or not creative and vice versa. If susan is not fu... | Fred is humble. | entailment | (((happy(mary)|~old(mary)))<=>((~quiet(fred)<~>kind(fred))))&
(![X]:(wise(X)=>(~generous(X)|~quiet(X))))&
((?[X]:((~creative(X)<~>~quiet(X))))=>((funny(fred)<~>quiet(fred))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~rich(paul)|~creative(paul))))&
(((~funny(susan)|brave(susan)))<=>(?[X]:((tall(X)|quiet(X)))))&
(((funny(john)... | humble(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 360764644194268554864382
% SZS output start Proof for 360764644194268554864382
9. ! [X0] : ((~old(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p8]
22. ~humble(fred) [input hypothesis]
59. ! [X0] : ((((humble(X0) | old(X0)) & (~humble(X0) | ~old(X0))) | old(X0)) & (~old(X0) | ((~old(X0) | hum... | 0 |
Everyone who is humble is curious and vice versa.
Everyone who is not curious or wise is both not creative and not calm.
If mary is either patient or not quiet then lucy is generous or not brave and vice versa.
Everyone who is either calm or quiet is not curious and vice versa.
Everyone who is not rich is old.
Everyone... | Lucy is kind. | contradiction | (![X]:(humble(X)<=>curious(X)))&
(![X]:((~curious(X)|wise(X))=>(~creative(X)&~calm(X))))&
(((patient(mary)<~>~quiet(mary)))<=>((generous(lucy)|~brave(lucy))))&
(![X]:((calm(X)<~>quiet(X))<=>~curious(X)))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(l... | kind(lucy) | [
"p0",
"p1",
"p3",
"p5",
"p8",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6061955739238082830518868
% SZS output start Proof for 6061955739238082830518868
1. ! [X0] : (humble(X0) <=> curious(X0)) [input p0]
2. ! [X0] : ((wise(X0) | ~curious(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> ~curious(X0)) [input p3]
6. ! [X... | 0 |
Everyone who is either not strong or not tall is either rich or patient.
If someone is either not happy or not creative then someone is not funny and vice versa.
Everyone who is both not curious and kind is both tall and not generous.
Everyone who is happy or not generous is either not tall or not funny and vice versa.... | Lucy is strong. | contradiction | (![X]:((~strong(X)<~>~tall(X))=>(rich(X)<~>patient(X))))&
((?[X]:((~happy(X)<~>~creative(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)&kind(X))=>(tall(X)&~generous(X))))&
(![X]:((happy(X)|~generous(X))<=>(~tall(X)<~>~funny(X))))&
((?[X]:((~strong(X)&rich(X))))=>((old(paul)&patient(paul))))&
((?[X]:((kind(X)|happy(X)... | strong(lucy) | [
"p0",
"p5",
"p6",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2720623191015763918317807
% SZS output start Proof for 2720623191015763918317807
1. ! [X0] : ((~strong(X0) <~> ~tall(X0)) => (rich(X0) <~> patient(X0))) [input p0]
6. ? [X0] : (happy(X0) | kind(X0)) <=> (~happy(alice) & happy(alice)) [input p5]
7. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (~... | 0 |
If mary is not old or wise then someone is both tall and not calm and vice versa.
Everyone who is not strong is not quiet.
Everyone who is not old is generous.
If susan is rich then someone is both curious and not kind.
If lucy is both curious and not funny then susan is either not generous or happy.
Everyone who is no... | Lucy is not wise. | entailment | (((~old(mary)|wise(mary)))<=>(?[X]:((tall(X)&~calm(X)))))&
(![X]:(~strong(X)=>~quiet(X)))&
(![X]:(~old(X)=>generous(X)))&
((rich(susan))=>(?[X]:((curious(X)&~kind(X)))))&
(((curious(lucy)&~funny(lucy)))=>((~generous(susan)<~>happy(susan))))&
(![X]:((~tall(X)|kind(X))=>(~calm(X)&quiet(X))))&
((?[X]:((old(X)&creative(X))... | ~wise(lucy) | [
"p5",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3763015953543042961139506
% SZS output start Proof for 3763015953543042961139506
6. ! [X0] : ((kind(X0) | ~tall(X0)) => (quiet(X0) & ~calm(X0))) [input p5]
8. ! [X0] : (tall(X0) => ~quiet(X0)) [input p7]
13. ! [X0] : ((rich(X0) <~> ~calm(X0)) <=> ~wise(X0)) [input p12]
15. ! [X0] : ((~qui... | 0 |
Everyone who is quiet or patient is old or calm and vice versa. Everyone who is quiet or happy is curious and vice versa. If someone is tall or old then someone is either not funny or curious. Everyone who is not strong or not calm is both calm and quiet. If fred is both not curious and patient then lucy is either not ... | Susan is not creative. | neutral | (![X]:((quiet(X)|patient(X))<=>(old(X)|calm(X))))&
(![X]:((quiet(X)|happy(X))<=>curious(X)))&
((?[X]:((tall(X)|old(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((~strong(X)|~calm(X))=>(calm(X)&quiet(X))))&
(((~curious(fred)&patient(fred)))=>((~brave(lucy)<~>generous(lucy))))&
(![X]:((rich(X)<~>wise(X))=>curious(X))... | ~creative(susan) | [] | null | 0 |
Everyone who is both not patient and not creative is patient and vice versa.
Everyone who is either not quiet or not rich is either rich or wise and vice versa.
Everyone who is calm is either kind or not generous.
If paul is either happy or not happy then lucy is both not funny and generous and vice versa.
Everyone who... | Lucy is creative. | entailment | (![X]:((~patient(X)&~creative(X))<=>patient(X)))&
(![X]:((~quiet(X)<~>~rich(X))<=>(rich(X)<~>wise(X))))&
(![X]:(calm(X)=>(kind(X)<~>~generous(X))))&
(((happy(paul)<~>~happy(paul)))<=>((~funny(lucy)&generous(lucy))))&
(![X]:((~happy(X)|funny(X))=>(~creative(X)|kind(X))))&
((~tall(alice))=>(?[X]:((~curious(X)<~>~old(X)))... | creative(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8033278811905599977459664
% SZS output start Proof for 8033278811905599977459664
1. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> patient(X0)) [input p0]
25. ~creative(lucy) [input hypothesis]
42. ! [X0] : (((~creative(X0) & ~patient(X0)) | ~patient(X0)) & (patient(X0) | (creative(X0) | pa... | 0 |
If mary is either wise or old then someone is creative and vice versa. If susan is both generous and wise then someone is not happy or not brave and vice versa. Everyone who is old is not funny or not creative and vice versa. If fred is either generous or tall then someone is calm. Everyone who is both brave and funny ... | Susan is not wise. | contradiction | (((wise(mary)<~>old(mary)))<=>(?[X]:(creative(X))))&
(((generous(susan)&wise(susan)))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(old(X)<=>(~funny(X)|~creative(X))))&
(((generous(fred)<~>tall(fred)))=>(?[X]:(calm(X))))&
(![X]:((brave(X)&funny(X))<=>old(X)))&
(((old(fred)<~>~creative(fred)))<=>((quiet(susan)|old(susan))))... | ~wise(susan) | [
"p1",
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1102264114984900215640206
% SZS output start Proof for 1102264114984900215640206
2. (wise(susan) & generous(susan)) <=> ? [X0] : (~brave(X0) | ~happy(X0)) [input p1]
3. ! [X0] : (old(X0) <=> (~creative(X0) | ~funny(X0))) [input p2]
5. ! [X0] : ((funny(X0) & brave(X0)) <=> old(X0)) [input ... | 0 |
Everyone who is brave is not generous and vice versa.
Everyone who is either funny or wise is not funny and vice versa.
Everyone who is not happy or quiet is both not calm and tall and vice versa.
If someone is old or curious then john is both kind and patient and vice versa.
Everyone who is brave or old is both wise a... | John is quiet. | neutral | (![X]:(brave(X)<=>~generous(X)))&
(![X]:((funny(X)<~>wise(X))<=>~funny(X)))&
(![X]:((~happy(X)|quiet(X))<=>(~calm(X)&tall(X))))&
((?[X]:((old(X)|curious(X))))<=>((kind(john)&patient(john))))&
(![X]:((brave(X)|old(X))=>(wise(X)&~brave(X))))&
((?[X]:((wise(X)|calm(X))))=>(?[X]:((creative(X)<~>~kind(X)))))&
((?[X]:((~kind... | quiet(john) | [] | null | 0 |
If john is both not wise and not humble then alice is patient.
If someone is both not generous and calm then someone is both tall and not creative.
If someone is not wise or not curious then paul is not humble or patient and vice versa.
Everyone who is either not calm or generous is strong.
Everyone who is tall is stro... | Alice is not patient. | entailment | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((~generous(X)&calm(X))))=>(?[X]:((tall(X)&~creative(X)))))&
((?[X]:((~wise(X)|~curious(X))))<=>((~humble(paul)|patient(paul))))&
(![X]:((~calm(X)<~>generous(X))=>strong(X)))&
(![X]:(tall(X)=>strong(X)))&
((?[X]:((~calm(X)<~>~quiet(X))))=>((~tall(alice)&happy(al... | ~patient(alice) | [
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1777071911640237446358075
% SZS output start Proof for 1777071911640237446358075
13. ? [X0] : (humble(X0) <~> ~wise(X0)) => (~patient(alice) & ~tall(alice)) [input p12]
14. ? [X0] : (~curious(X0) & humble(X0)) <=> old(fred) [input p13]
16. ! [X0] : ((rich(X0) & wise(X0)) <=> (~kind(X0) | ... | 0 |
Everyone who is tall is both kind and strong.
Everyone who is both not happy and kind is either not humble or brave and vice versa.
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 an... | Mary is not old. | entailment | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~happy(X)&kind(X))<=>(~humble(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))))&
(... | ~old(mary) | [
"p1",
"p3",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 434760979495496907515548
% SZS output start Proof for 434760979495496907515548
2. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (~humble(X0) <~> brave(X0))) [input p1]
4. ! [X0] : ((rich(X0) | brave(X0)) <=> ~creative(X0)) [input p3]
9. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) [input p8]
11.... | 0 |
Everyone who is both not funny and not tall is not creative.
Everyone who is not kind or old is happy and vice versa.
Everyone who is both not patient and brave is not tall or curious and vice versa.
Everyone who is either quiet or not brave is both not strong and funny and vice versa.
Everyone who is either not calm o... | Fred is not kind. | contradiction | (![X]:((~funny(X)&~tall(X))=>~creative(X)))&
(![X]:((~kind(X)|old(X))<=>happy(X)))&
(![X]:((~patient(X)&brave(X))<=>(~tall(X)|curious(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)&funny(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>(~funny(X)&~happy(X))))&
(((~brave(fred)<~>~wise(fred)))<=>(?[X]:((creative(X)<~>brave(X)))... | ~kind(fred) | [
"p1",
"p2",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7994635036682912812516241
% SZS output start Proof for 7994635036682912812516241
2. ! [X0] : ((old(X0) | ~kind(X0)) <=> happy(X0)) [input p1]
3. ! [X0] : ((brave(X0) & ~patient(X0)) <=> (curious(X0) | ~tall(X0))) [input p2]
5. ! [X0] : ((~calm(X0) <~> ~tall(X0)) <=> (~happy(X0) & ~funny(X... | 0 |
If someone is kind or curious then someone is either not curious or rich.
Everyone who is either rich or wise is happy and vice versa.
If someone is both creative and not wise then lucy is tall or creative and vice versa.
Everyone who is happy is not creative and vice versa.
If someone is quiet or not old then someone ... | Fred is not humble. | entailment | ((?[X]:((kind(X)|curious(X))))=>(?[X]:((~curious(X)<~>rich(X)))))&
(![X]:((rich(X)<~>wise(X))<=>happy(X)))&
((?[X]:((creative(X)&~wise(X))))<=>((tall(lucy)|creative(lucy))))&
(![X]:(happy(X)<=>~creative(X)))&
((?[X]:((quiet(X)|~old(X))))=>(?[X]:((~creative(X)|~funny(X)))))&
(((~happy(lucy)&~generous(lucy)))=>((~calm(pa... | ~humble(fred) | [
"p3",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2172524121998451423642407
% SZS output start Proof for 2172524121998451423642407
4. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p3]
7. ? [X0] : (~happy(X0) <~> generous(X0)) <=> (funny(john) <~> humble(john)) [input p6]
8. ! [X0] : (patient(X0) <=> (calm(X0) & quiet(X0))) [input p7]
10.... | 0 |
If someone is either creative or not humble then someone is not rich or strong.
If john is curious then paul is rich or not strong and vice versa.
If someone is not brave then someone is either not humble or happy.
Everyone who is happy is wise and vice versa.
Everyone who is either not creative or old is both not rich... | John is not creative. | contradiction | ((?[X]:((creative(X)<~>~humble(X))))=>(?[X]:((~rich(X)|strong(X)))))&
((curious(john))<=>((rich(paul)|~strong(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((~creative(X)<~>old(X))=>(~rich(X)&tall(X))))&
(![X]:(~kind(X)<=>(quiet(X)|~old(X))))&
(((~patient(susan)&~c... | ~creative(john) | [
"p5",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8796732425133953672615456
% SZS output start Proof for 8796732425133953672615456
6. ! [X0] : (~kind(X0) <=> (~old(X0) | quiet(X0))) [input p5]
7. (~creative(susan) & ~patient(susan)) <=> old(john) [input p6]
9. ~old(susan) <=> ? [X0] : (happy(X0) <~> ~happy(X0)) [input p8]
12. ! [X0] : (~... | 0 |
Everyone who is calm or not old is funny.
Everyone who is curious or funny is both not tall and not calm and vice versa.
Everyone who is both strong and not strong is curious and vice versa.
Everyone who is curious or not old is not tall.
If fred is not wise then someone is both kind and not old and vice versa.
Everyon... | Fred is not wise. | neutral | (![X]:((calm(X)|~old(X))=>funny(X)))&
(![X]:((curious(X)|funny(X))<=>(~tall(X)&~calm(X))))&
(![X]:((strong(X)&~strong(X))<=>curious(X)))&
(![X]:((curious(X)|~old(X))=>~tall(X)))&
((~wise(fred))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((~rich(X)<~>~happy(X))<=>(tall(X)|curious(X))))&
(((brave(alice)&wise(alice)))<=>((~rich... | ~wise(fred) | [] | null | 0 |
Everyone who is not wise or curious is kind.
Everyone who is not humble or curious is generous.
Everyone who is not quiet is not strong and vice versa.
Everyone who is not happy is both not kind and not calm and vice versa.
If john is not curious or not humble then someone is both calm and not quiet.
Everyone who is no... | Lucy is not curious. | contradiction | (![X]:((~wise(X)|curious(X))=>kind(X)))&
(![X]:((~humble(X)|curious(X))=>generous(X)))&
(![X]:(~quiet(X)<=>~strong(X)))&
(![X]:(~happy(X)<=>(~kind(X)&~calm(X))))&
(((~curious(john)|~humble(john)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~calm(X)|funny(X))<=>~funny(X)))&
(((~creative(paul)|funny(paul)))=>(?[X]:((~calm(X... | ~curious(lucy) | [
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6775695226423590696918983
% SZS output start Proof for 6775695226423590696918983
6. ! [X0] : ((funny(X0) | ~calm(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((old(X0) | ~calm(X0)) => (~patient(X0) <~> tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) | patient(X0)) => (funny(X0) | patient(X0)... | 0 |
Everyone who is not rich is creative.
Everyone who is either tall or funny is not generous.
Everyone who is quiet is both patient and not rich and vice versa.
Everyone who is either quiet or not old is strong or not humble.
Everyone who is patient or curious is both curious and strong and vice versa.
Everyone who is no... | Lucy is quiet. | contradiction | (![X]:(~rich(X)=>creative(X)))&
(![X]:((tall(X)<~>funny(X))=>~generous(X)))&
(![X]:(quiet(X)<=>(patient(X)&~rich(X))))&
(![X]:((quiet(X)<~>~old(X))=>(strong(X)|~humble(X))))&
(![X]:((patient(X)|curious(X))<=>(curious(X)&strong(X))))&
(![X]:((~kind(X)|~patient(X))<=>~humble(X)))&
(![X]:(~calm(X)=>(~creative(X)|wise(X)))... | quiet(lucy) | [
"p0",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 423761901350547774437173
% SZS output start Proof for 423761901350547774437173
1. ! [X0] : (~rich(X0) => creative(X0)) [input p0]
3. ! [X0] : (quiet(X0) <=> (~rich(X0) & patient(X0))) [input p2]
11. ! [X0] : ((~rich(X0) | patient(X0)) => ~creative(X0)) [input p10]
24. quiet(lucy) [input h... | 0 |
If fred is either patient or wise then someone is not brave.
Everyone who is either strong or not strong is not brave and vice versa.
Everyone who is not funny is strong.
Everyone who is not generous or not calm is not strong or not rich and vice versa.
If someone is both not wise and not strong then someone is either ... | Susan is rich. | contradiction | (((patient(fred)<~>wise(fred)))=>(?[X]:(~brave(X))))&
(![X]:((strong(X)<~>~strong(X))<=>~brave(X)))&
(![X]:(~funny(X)=>strong(X)))&
(![X]:((~generous(X)|~calm(X))<=>(~strong(X)|~rich(X))))&
((?[X]:((~wise(X)&~strong(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
(((creative(lucy)|strong(lucy)))<=>((~wise(mary)<~>~humble(mary)... | rich(susan) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3787561163279894291938618
% SZS output start Proof for 3787561163279894291938618
2. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> ~brave(X0)) [input p1]
10. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (~rich(X0) & ~quiet(X0))) [input p9]
24. rich(susan) [input hypothesis]
39. ! [X0] : ((((stron... | 0 |
If fred is patient then someone is not happy. If john is calm then someone is either patient or brave and vice versa. If john is quiet then alice is either not generous or not old. If john is strong then someone is kind or not brave. Everyone who is calm or creative is both not curious and not brave and vice versa. Eve... | Alice is quiet. | neutral | ((patient(fred))=>(?[X]:(~happy(X))))&
((calm(john))<=>(?[X]:((patient(X)<~>brave(X)))))&
((quiet(john))=>((~generous(alice)<~>~old(alice))))&
((strong(john))=>(?[X]:((kind(X)|~brave(X)))))&
(![X]:((calm(X)|creative(X))<=>(~curious(X)&~brave(X))))&
(![X]:((creative(X)<~>quiet(X))<=>(happy(X)&tall(X))))&
(![X]:((patient... | quiet(alice) | [] | null | 0 |
If someone is not calm or not happy then lucy is either not humble or quiet.
If john is not wise then someone is either tall or not creative.
Everyone who is both curious and kind is both rich and not kind and vice versa.
Everyone who is not brave is not humble or not brave.
If someone is both wise and not old then luc... | Lucy is humble. | entailment | ((?[X]:((~calm(X)|~happy(X))))=>((~humble(lucy)<~>quiet(lucy))))&
((~wise(john))=>(?[X]:((tall(X)<~>~creative(X)))))&
(![X]:((curious(X)&kind(X))<=>(rich(X)&~kind(X))))&
(![X]:(~brave(X)=>(~humble(X)|~brave(X))))&
((?[X]:((wise(X)&~old(X))))<=>((calm(lucy)&happy(lucy))))&
((?[X]:((humble(X)<~>~funny(X))))<=>((calm(lucy... | humble(lucy) | [
"p8",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2305385631624064652342433
% SZS output start Proof for 2305385631624064652342433
9. ! [X0] : ((~funny(X0) | ~tall(X0)) => (~curious(X0) & ~old(X0))) [input p8]
10. ! [X0] : ((~strong(X0) | calm(X0)) => tall(X0)) [input p9]
14. ! [X0] : (~strong(X0) <=> (~curious(X0) | ~quiet(X0))) [input ... | 0 |
If someone is either wise or not curious then paul is not brave or not happy and vice versa.
If fred is strong then alice is not kind and vice versa.
Everyone who is either patient or brave is both humble and curious and vice versa.
Everyone who is brave is both tall and humble.
If susan is both happy and curious then ... | Fred is funny. | entailment | ((?[X]:((wise(X)<~>~curious(X))))<=>((~brave(paul)|~happy(paul))))&
((strong(fred))<=>(~kind(alice)))&
(![X]:((patient(X)<~>brave(X))<=>(humble(X)&curious(X))))&
(![X]:(brave(X)=>(tall(X)&humble(X))))&
(((happy(susan)&curious(susan)))=>((~happy(john)|~patient(john))))&
(![X]:((~brave(X)|~curious(X))=>(~quiet(X)|calm(X)... | funny(fred) | [
"p3",
"p5",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3371508036876970093166603
% SZS output start Proof for 3371508036876970093166603
4. ! [X0] : (brave(X0) => (humble(X0) & tall(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~brave(X0)) => (calm(X0) | ~quiet(X0))) [input p5]
10. (~wise(fred) & ~tall(fred)) <=> ? [X0] : (curious(X0) <~> ~tal... | 0 |
If lucy is kind then someone is either funny or calm and vice versa. If paul is creative then someone is not curious and vice versa. If someone is either not kind or tall then someone is wise or not tall and vice versa. Everyone who is rich is either not strong or not generous. If mary is both not happy and not wise th... | Susan is creative. | contradiction | ((kind(lucy))<=>(?[X]:((funny(X)<~>calm(X)))))&
((creative(paul))<=>(?[X]:(~curious(X))))&
((?[X]:((~kind(X)<~>tall(X))))<=>(?[X]:((wise(X)|~tall(X)))))&
(![X]:(rich(X)=>(~strong(X)<~>~generous(X))))&
(((~happy(mary)&~wise(mary)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:(~old(X)=>(~humble(X)<~>~happy(X))))&
(((generous... | creative(susan) | [
"p4",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6814162809633926008892672
% SZS output start Proof for 6814162809633926008892672
5. (~wise(mary) & ~happy(mary)) <=> ? [X0] : (rich(X0) <~> quiet(X0)) [input p4]
11. ! [X0] : ((kind(X0) | humble(X0)) <=> (wise(X0) <~> ~humble(X0))) [input p10]
12. ! [X0] : ((rich(X0) | patient(X0)) <=> (k... | 0 |
If paul is both happy and not generous then someone is humble and vice versa.
If someone is not strong or not creative then john is both not rich and not strong.
If someone is both not quiet and kind then lucy is either calm or not generous.
If someone is not wise or not calm then john is both happy and not creative an... | Lucy is not brave. | contradiction | (((happy(paul)&~generous(paul)))<=>(?[X]:(humble(X))))&
((?[X]:((~strong(X)|~creative(X))))=>((~rich(john)&~strong(john))))&
((?[X]:((~quiet(X)&kind(X))))=>((calm(lucy)<~>~generous(lucy))))&
((?[X]:((~wise(X)|~calm(X))))<=>((happy(john)&~creative(john))))&
((?[X]:(generous(X)))=>(?[X]:((~tall(X)&~wise(X)))))&
(((~funny... | ~brave(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7206569251105397302843779
% SZS output start Proof for 7206569251105397302843779
1. (~generous(paul) & happy(paul)) <=> ? [X0] : humble(X0) [input p0]
2. ? [X0] : (~creative(X0) | ~strong(X0)) => (~strong(john) & ~rich(john)) [input p1]
4. ? [X0] : (~calm(X0) | ~wise(X0)) <=> (~creative(j... | 0 |
Everyone who is old or rich is both quiet and not calm.
If someone is not generous or not tall then someone is either not creative or not generous and vice versa.
If alice is either not patient or creative then someone is both not old and not tall.
If someone is not calm or humble then someone is both kind and quiet an... | Lucy is not calm. | entailment | (![X]:((old(X)|rich(X))=>(quiet(X)&~calm(X))))&
((?[X]:((~generous(X)|~tall(X))))<=>(?[X]:((~creative(X)<~>~generous(X)))))&
(((~patient(alice)<~>creative(alice)))=>(?[X]:((~old(X)&~tall(X)))))&
((?[X]:((~calm(X)|humble(X))))<=>(?[X]:((kind(X)&quiet(X)))))&
(![X]:((generous(X)<~>strong(X))=>(~rich(X)&~kind(X))))&
(((wi... | ~calm(lucy) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 632072004193952959141733
% SZS output start Proof for 632072004193952959141733
1. ! [X0] : ((rich(X0) | old(X0)) => (~calm(X0) & quiet(X0))) [input p0]
18. rich(lucy) [input p17]
25. calm(lucy) [input hypothesis]
32. ! [X0] : ((~calm(X0) & quiet(X0)) | (~rich(X0) & ~old(X0))) [ennf transf... | 0 |
Everyone who is either generous or creative is generous or not brave.
If mary is both old and not creative then john is not humble or not funny and vice versa.
Everyone who is both brave and not patient is not curious and vice versa.
If susan is patient or not curious then someone is not strong or tall and vice versa.
... | Susan is not brave. | contradiction | (![X]:((generous(X)<~>creative(X))=>(generous(X)|~brave(X))))&
(((old(mary)&~creative(mary)))<=>((~humble(john)|~funny(john))))&
(![X]:((brave(X)&~patient(X))<=>~curious(X)))&
(((patient(susan)|~curious(susan)))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(rich(X)=>(~tall(X)<~>curious(X))))&
(![X]:((~wise(X)&~happy(X))=>(~... | ~brave(susan) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1794573440562492926345256
% SZS output start Proof for 1794573440562492926345256
3. ! [X0] : ((~patient(X0) & brave(X0)) <=> ~curious(X0)) [input p2]
12. ! [X0] : ((~patient(X0) <~> ~curious(X0)) <=> patient(X0)) [input p11]
24. ~brave(susan) [input hypothesis]
44. ! [X0] : (((~patient(X0... | 0 |
Everyone who is quiet or patient is old or calm and vice versa. Everyone who is quiet or happy is curious and vice versa. If someone is tall or old then someone is either not funny or curious. Everyone who is not strong or not calm is both calm and quiet. If fred is both not curious and patient then lucy is either not ... | Susan is not creative. | neutral | (![X]:((quiet(X)|patient(X))<=>(old(X)|calm(X))))&
(![X]:((quiet(X)|happy(X))<=>curious(X)))&
((?[X]:((tall(X)|old(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
(![X]:((~strong(X)|~calm(X))=>(calm(X)&quiet(X))))&
(((~curious(fred)&patient(fred)))=>((~brave(lucy)<~>generous(lucy))))&
(![X]:((rich(X)<~>wise(X))=>curious(X))... | ~creative(susan) | [] | null | 0 |
Everyone who is not strong or not curious is both not rich and not creative.
Everyone who is not rich or happy is either not creative or not kind and vice versa.
Everyone who is both not brave and wise is both not old and not curious and vice versa.
If someone is either not humble or calm then someone is not calm or hu... | John is not rich. | neutral | (![X]:((~strong(X)|~curious(X))=>(~rich(X)&~creative(X))))&
(![X]:((~rich(X)|happy(X))<=>(~creative(X)<~>~kind(X))))&
(![X]:((~brave(X)&wise(X))<=>(~old(X)&~curious(X))))&
((?[X]:((~humble(X)<~>calm(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:(~calm(X)<=>(~kind(X)<~>rich(X))))&
((?[X]:((generous(X)&~creative(X))))<=>(... | ~rich(john) | [] | null | 0 |
Everyone who is not happy is either kind or not brave and vice versa.
Everyone who is not funny is tall and vice versa.
Everyone who is both not patient and not curious is either generous or not generous and vice versa.
If alice is either not strong or not old then alice is not quiet and vice versa.
Everyone who is eit... | John is not wise. | contradiction | (![X]:(~happy(X)<=>(kind(X)<~>~brave(X))))&
(![X]:(~funny(X)<=>tall(X)))&
(![X]:((~patient(X)&~curious(X))<=>(generous(X)<~>~generous(X))))&
(((~strong(alice)<~>~old(alice)))<=>(~quiet(alice)))&
(![X]:((calm(X)<~>tall(X))<=>(wise(X)|kind(X))))&
(((~kind(mary)<~>patient(mary)))=>(?[X]:((brave(X)&~funny(X)))))&
(![X]:((~... | ~wise(john) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"p11",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6084704798483351935994744
% SZS output start Proof for 6084704798483351935994744
1. ! [X0] : (~happy(X0) <=> (kind(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : (~funny(X0) <=> tall(X0)) [input p1]
5. ! [X0] : ((calm(X0) <~> tall(X0)) <=> (kind(X0) | wise(X0))) [input p4]
8. ! [X0] : ((~gen... | 0 |
Everyone who is generous is either quiet or not generous and vice versa. Everyone who is both creative and not tall is either not funny or not strong. Everyone who is either wise or patient is patient and vice versa. Everyone who is happy or not quiet is both generous and not old and vice versa. If susan is both wise a... | Fred is old. | neutral | (![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((wise(susan)&rich(susan)))<=>((tall(lucy)<~>~brave(lucy))))&
((?[X]:((generous(X)|wise(X))))<=>(?[X]:(~calm(... | old(fred) | [] | null | 0 |
If lucy is both curious and wise then lucy is not curious and vice versa. Everyone who is quiet or not funny is patient or not humble and vice versa. Everyone who is both happy and calm is wise or not brave and vice versa. If lucy is both happy and not old then someone is both not wise and not strong. If someone is bot... | Alice is not tall. | contradiction | (((curious(lucy)&wise(lucy)))<=>(~curious(lucy)))&
(![X]:((quiet(X)|~funny(X))<=>(patient(X)|~humble(X))))&
(![X]:((happy(X)&calm(X))<=>(wise(X)|~brave(X))))&
(((happy(lucy)&~old(lucy)))=>(?[X]:((~wise(X)&~strong(X)))))&
((?[X]:((funny(X)&~rich(X))))=>(~tall(lucy)))&
(![X]:((rich(X)<~>~funny(X))<=>patient(X)))&
(![X]:(... | ~tall(alice) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p10",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 813761410020270955292906
% SZS output start Proof for 813761410020270955292906
1. (wise(lucy) & curious(lucy)) <=> ~curious(lucy) [input p0]
2. ! [X0] : ((~funny(X0) | quiet(X0)) <=> (~humble(X0) | patient(X0))) [input p1]
3. ! [X0] : ((calm(X0) & happy(X0)) <=> (~brave(X0) | wise(X0))) [... | 0 |
If lucy is not patient or patient then someone is strong or kind.
Everyone who is not wise or not quiet is either humble or not curious.
Everyone who is both not tall and humble is either not calm or kind and vice versa.
If someone is calm or not old then someone is either rich or not happy.
Everyone who is both not ri... | Susan is not rich. | contradiction | (((~patient(lucy)|patient(lucy)))=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((~wise(X)|~quiet(X))=>(humble(X)<~>~curious(X))))&
(![X]:((~tall(X)&humble(X))<=>(~calm(X)<~>kind(X))))&
((?[X]:((calm(X)|~old(X))))=>(?[X]:((rich(X)<~>~happy(X)))))&
(![X]:((~rich(X)&brave(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((~tall(X)<~>humble... | ~rich(susan) | [
"p1",
"p11",
"p17",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7595671519324327855469012
% SZS output start Proof for 7595671519324327855469012
2. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (humble(X0) <~> ~curious(X0))) [input p1]
12. ? [X0] : (humble(X0) | brave(X0)) <=> rich(susan) [input p11]
18. ~wise(alice) [input p17]
19. patient(alice) <~> ~curiou... | 0 |
If someone is either not rich or happy then someone is either strong or not rich.
If someone is either not calm or not strong then someone is brave.
If mary is either not creative or not generous then paul is not creative or not quiet and vice versa.
Everyone who is wise is calm or curious and vice versa.
If someone is... | Alice is curious. | contradiction | ((?[X]:((~rich(X)<~>happy(X))))=>(?[X]:((strong(X)<~>~rich(X)))))&
((?[X]:((~calm(X)<~>~strong(X))))=>(?[X]:(brave(X))))&
(((~creative(mary)<~>~generous(mary)))<=>((~creative(paul)|~quiet(paul))))&
(![X]:(wise(X)<=>(calm(X)|curious(X))))&
((?[X]:((happy(X)&~kind(X))))<=>((kind(alice)<~>~generous(alice))))&
(![X]:((~cur... | curious(alice) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7240431889383811758715259
% SZS output start Proof for 7240431889383811758715259
4. ! [X0] : (wise(X0) <=> (curious(X0) | calm(X0))) [input p3]
12. ! [X0] : ((kind(X0) | curious(X0)) => (~wise(X0) & brave(X0))) [input p11]
25. curious(alice) [input hypothesis]
35. ! [X0] : ((~wise(X0) & b... | 0 |
If lucy is funny then someone is not curious.
If mary is not patient or not kind then paul is either not old or not kind.
If lucy is tall or strong then mary is generous or kind.
Everyone who is either not funny or tall is tall.
Everyone who is tall or not rich is either not strong or happy and vice versa.
If susan is ... | Alice is not generous. | contradiction | ((funny(lucy))=>(?[X]:(~curious(X))))&
(((~patient(mary)|~kind(mary)))=>((~old(paul)<~>~kind(paul))))&
(((tall(lucy)|strong(lucy)))=>((generous(mary)|kind(mary))))&
(![X]:((~funny(X)<~>tall(X))=>tall(X)))&
(![X]:((tall(X)|~rich(X))<=>(~strong(X)<~>happy(X))))&
(((generous(susan)|~strong(susan)))<=>(?[X]:((kind(X)|stron... | ~generous(alice) | [
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2060106649431889074143008
% SZS output start Proof for 2060106649431889074143008
7. ! [X0] : ((creative(X0) & ~patient(X0)) <=> (~brave(X0) <~> patient(X0))) [input p6]
9. ? [X0] : calm(X0) <=> (patient(susan) <~> ~generous(susan)) [input p8]
14. ! [X0] : ((patient(X0) <~> ~brave(X0)) <=>... | 0 |
Everyone who is both not old and funny is either patient or wise and vice versa. Everyone who is not brave is not rich or strong. If alice is funny or kind then someone is not happy and vice versa. Everyone who is funny or not old is either quiet or curious. Everyone who is either not happy or not brave is wise or not ... | Alice is not funny. | neutral | (![X]:((~old(X)&funny(X))<=>(patient(X)<~>wise(X))))&
(![X]:(~brave(X)=>(~rich(X)|strong(X))))&
(((funny(alice)|kind(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((funny(X)|~old(X))=>(quiet(X)<~>curious(X))))&
(![X]:((~happy(X)<~>~brave(X))<=>(wise(X)|~generous(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((~brave(X)|~calm(X)))))&
(!... | ~funny(alice) | [] | null | 0 |
Everyone who is both not humble and not curious is not patient or kind and vice versa.
If paul is either patient or not strong then someone is funny or not strong and vice versa.
If someone is either wise or not old then someone is either not generous or patient.
If lucy is either not wise or curious then someone is ei... | Paul is old. | entailment | (![X]:((~humble(X)&~curious(X))<=>(~patient(X)|kind(X))))&
(((patient(paul)<~>~strong(paul)))<=>(?[X]:((funny(X)|~strong(X)))))&
((?[X]:((wise(X)<~>~old(X))))=>(?[X]:((~generous(X)<~>patient(X)))))&
(((~wise(lucy)<~>curious(lucy)))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((~wise(X)&tall(X))<=>(strong(X)<~>~patient(X... | old(paul) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8527432247225444986221726
% SZS output start Proof for 8527432247225444986221726
16. ! [X0] : ((~old(X0) <~> ~quiet(X0)) => (~strong(X0) & ~quiet(X0))) [input p15]
17. quiet(paul) [input p16]
25. ~old(paul) [input hypothesis]
34. ! [X0] : ((~strong(X0) & ~quiet(X0)) | (~old(X0) <=> ~quiet... | 0 |
If susan is not rich then lucy is both wise and generous. Everyone who is not humble is not quiet and vice versa. Everyone who is either not strong or wise is either not humble or not calm. Everyone who is quiet is not kind or humble and vice versa. Everyone who is quiet or not rich is old or not humble. Everyone who i... | Alice is not tall. | entailment | ((~rich(susan))=>((wise(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~kind(X)|humble(X))))&
(![X]:((quiet(X)|~rich(X))=>(old(X)|~humble(X))))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=>wise(X)))&
(![... | ~tall(alice) | [
"p1",
"p3",
"p4",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2943214902827119334333904
% SZS output start Proof for 2943214902827119334333904
2. ! [X0] : (~humble(X0) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (quiet(X0) <=> (humble(X0) | ~kind(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | quiet(X0)) => (~humble(X0) | old(X0))) [input p4]
6. ! [X0] : ((ki... | 0 |
Everyone who is both not generous and not curious is funny and vice versa. Everyone who is generous is not humble. Everyone who is creative or not creative is not humble and vice versa. If someone is not happy then fred is not tall. If someone is not happy then lucy is either not calm or tall and vice versa. If someone... | Paul is not old. | entailment | (![X]:((~generous(X)&~curious(X))<=>funny(X)))&
(![X]:(generous(X)=>~humble(X)))&
(![X]:((creative(X)|~creative(X))<=>~humble(X)))&
((?[X]:(~happy(X)))=>(~tall(fred)))&
((?[X]:(~happy(X)))<=>((~calm(lucy)<~>tall(lucy))))&
((?[X]:((~rich(X)&~curious(X))))<=>(?[X]:((old(X)|quiet(X)))))&
((?[X]:((funny(X)&rich(X))))<=>(?[... | ~old(paul) | [
"p0",
"p5",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 846284132264275344330383
% SZS output start Proof for 846284132264275344330383
1. ! [X0] : ((~curious(X0) & ~generous(X0)) <=> funny(X0)) [input p0]
6. ? [X0] : (~curious(X0) & ~rich(X0)) <=> ? [X0] : (quiet(X0) | old(X0)) [input p5]
10. ! [X0] : ((~happy(X0) | ~patient(X0)) => ~funny(X0)... | 0 |
If someone is not curious or quiet then paul is either not happy or rich and vice versa. If paul is either not curious or quiet then someone is either happy or not wise and vice versa. Everyone who is old or quiet is tall and vice versa. If fred is calm or not tall then someone is not happy. If someone is both happy an... | Mary is humble. | neutral | ((?[X]:((~curious(X)|quiet(X))))<=>((~happy(paul)<~>rich(paul))))&
(((~curious(paul)<~>quiet(paul)))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((old(X)|quiet(X))<=>tall(X)))&
(((calm(fred)|~tall(fred)))=>(?[X]:(~happy(X))))&
((?[X]:((happy(X)&~tall(X))))=>(?[X]:((calm(X)<~>~wise(X)))))&
(![X]:(creative(X)<=>(~old(X)|pat... | humble(mary) | [] | null | 0 |
Everyone who is either patient or not quiet is either humble or not kind and vice versa.
Everyone who is creative is not patient or funny.
If alice is either not humble or not old then susan is either wise or patient.
Everyone who is not humble is not quiet.
If alice is rich then someone is wise and vice versa.
If some... | John is not funny. | neutral | (![X]:((patient(X)<~>~quiet(X))<=>(humble(X)<~>~kind(X))))&
(![X]:(creative(X)=>(~patient(X)|funny(X))))&
(((~humble(alice)<~>~old(alice)))=>((wise(susan)<~>patient(susan))))&
(![X]:(~humble(X)=>~quiet(X)))&
((rich(alice))<=>(?[X]:(wise(X))))&
((?[X]:((~patient(X)&~wise(X))))=>((happy(paul)&funny(paul))))&
(![X]:((~kin... | ~funny(john) | [] | null | 0 |
If someone is either not tall or not wise then someone is both wise and brave and vice versa. Everyone who is either not curious or brave is not happy or not rich and vice versa. If mary is not funny or creative then someone is wise or creative. Everyone who is not generous is not old and vice versa. Everyone who is bo... | Paul is old. | neutral | ((?[X]:((~tall(X)<~>~wise(X))))<=>(?[X]:((wise(X)&brave(X)))))&
(![X]:((~curious(X)<~>brave(X))<=>(~happy(X)|~rich(X))))&
(((~funny(mary)|creative(mary)))=>(?[X]:((wise(X)|creative(X)))))&
(![X]:(~generous(X)<=>~old(X)))&
(![X]:((calm(X)&~funny(X))=>quiet(X)))&
((?[X]:(calm(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((~happy(... | old(paul) | [] | null | 0 |
Everyone who is not brave is both not patient and not kind and vice versa. If someone is not humble or wise then someone is both not patient and not brave. Everyone who is not humble or not kind is both generous and rich and vice versa. If paul is both not old and not kind then someone is either not creative or not hum... | Mary is not brave. | contradiction | (![X]:(~brave(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((~humble(X)|wise(X))))=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:((~humble(X)|~kind(X))<=>(generous(X)&rich(X))))&
(((~old(paul)&~kind(paul)))<=>(?[X]:((~creative(X)<~>~humble(X)))))&
((?[X]:((old(X)<~>kind(X))))=>(?[X]:(quiet(X))))&
(![X]:((patient(X)&creative(X))=>... | ~brave(mary) | [
"p0",
"p2",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8365280963739954104913921
% SZS output start Proof for 8365280963739954104913921
1. ! [X0] : (~brave(X0) <=> (~kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> (rich(X0) & generous(X0))) [input p2]
8. ! [X0] : (strong(X0) <=> ~rich(X0)) [input p7]
15. ! [X0]... | 0 |
Everyone who is both creative and calm is not calm and vice versa. If someone is rich then mary is either rich or creative. Everyone who is either wise or not strong is humble or strong and vice versa. If lucy is humble or curious then someone is either not rich or old. Everyone who is both wise and tall is not wise or... | Mary is not tall. | neutral | (![X]:((creative(X)&calm(X))<=>~calm(X)))&
((?[X]:(rich(X)))=>((rich(mary)<~>creative(mary))))&
(![X]:((wise(X)<~>~strong(X))<=>(humble(X)|strong(X))))&
(((humble(lucy)|curious(lucy)))=>(?[X]:((~rich(X)<~>old(X)))))&
(![X]:((wise(X)&tall(X))<=>(~wise(X)|generous(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((~quiet(X... | ~tall(mary) | [] | null | 0 |
Everyone who is creative or not patient is not patient and vice versa.
If paul is not generous then fred is either kind or not rich.
Everyone who is not curious or rich is either funny or generous and vice versa.
Everyone who is either brave or not strong is not quiet and vice versa.
If lucy is both calm and not humble... | John is humble. | entailment | (![X]:((creative(X)|~patient(X))<=>~patient(X)))&
((~generous(paul))=>((kind(fred)<~>~rich(fred))))&
(![X]:((~curious(X)|rich(X))<=>(funny(X)<~>generous(X))))&
(![X]:((brave(X)<~>~strong(X))<=>~quiet(X)))&
(((calm(lucy)&~humble(lucy)))<=>(brave(mary)))&
(((patient(lucy)&~quiet(lucy)))=>(?[X]:(humble(X))))&
(((~old(lucy... | humble(john) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7913711134478547045944668
% SZS output start Proof for 7913711134478547045944668
8. ! [X0] : (~humble(X0) => (calm(X0) & tall(X0))) [input p7]
20. ~tall(john) & ~funny(john) [input p19]
25. ~humble(john) [input hypothesis]
30. ! [X0] : ((calm(X0) & tall(X0)) | humble(X0)) [ennf transforma... | 0 |
Everyone who is not humble is both not tall and not creative and vice versa.
If someone is calm or not creative then mary is patient or strong.
If paul is not tall or patient then someone is either not funny or humble.
Everyone who is not wise is either not brave or not humble and vice versa.
Everyone who is humble is ... | Paul is not calm. | entailment | (![X]:(~humble(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((calm(X)|~creative(X))))=>((patient(mary)|strong(mary))))&
(((~tall(paul)|patient(paul)))=>(?[X]:((~funny(X)<~>humble(X)))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~humble(X))))&
(![X]:(humble(X)=>(~creative(X)<~>~wise(X))))&
(![X]:((~generous(X)<~>kind(X))=>(~old(X)&calm... | ~calm(paul) | [
"p1",
"p5",
"p8",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5626169316901117702725497
% SZS output start Proof for 5626169316901117702725497
2. ? [X0] : (~creative(X0) | calm(X0)) => (strong(mary) | patient(mary)) [input p1]
6. ! [X0] : ((~generous(X0) <~> kind(X0)) => (calm(X0) & ~old(X0))) [input p5]
9. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (g... | 0 |
Everyone who is both kind and creative is not humble. Everyone who is both quiet and humble is either rich or tall. Everyone who is either not patient or brave is both not calm and patient. If fred is not happy or not curious then someone is both not kind and not calm and vice versa. If lucy is either not strong or str... | Mary is patient. | neutral | (![X]:((kind(X)&creative(X))=>~humble(X)))&
(![X]:((quiet(X)&humble(X))=>(rich(X)<~>tall(X))))&
(![X]:((~patient(X)<~>brave(X))=>(~calm(X)&patient(X))))&
(((~happy(fred)|~curious(fred)))<=>(?[X]:((~kind(X)&~calm(X)))))&
(((~strong(lucy)<~>strong(lucy)))=>(?[X]:((humble(X)&quiet(X)))))&
(((~humble(lucy)<~>creative(lucy)... | patient(mary) | [] | null | 0 |
If someone is both not brave and not kind then lucy is both not generous and rich.
If someone is both tall and not patient then someone is either not funny or not kind.
If someone is quiet then someone is not old or not generous.
Everyone who is either not wise or curious is both not rich and not brave and vice versa.
... | John is wise. | neutral | ((?[X]:((~brave(X)&~kind(X))))=>((~generous(lucy)&rich(lucy))))&
((?[X]:((tall(X)&~patient(X))))=>(?[X]:((~funny(X)<~>~kind(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((~old(X)|~generous(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~rich(X)&~brave(X))))&
(((~rich(paul)|funny(paul)))=>(?[X]:((quiet(X)<~>~kind(X)))))&
(![X]:((quiet(... | wise(john) | [] | null | 0 |
Everyone who is brave or not old is both not funny and wise.
If someone is brave then susan is quiet.
Everyone who is either curious or strong is not quiet and vice versa.
If someone is either old or not strong then alice is either humble or calm and vice versa.
If lucy is tall or not tall then someone is not strong or... | Susan is not humble. | contradiction | (![X]:((brave(X)|~old(X))=>(~funny(X)&wise(X))))&
((?[X]:(brave(X)))=>(quiet(susan)))&
(![X]:((curious(X)<~>strong(X))<=>~quiet(X)))&
((?[X]:((old(X)<~>~strong(X))))<=>((humble(alice)<~>calm(alice))))&
(((tall(lucy)|~tall(lucy)))=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((wise(X)<~>patient(X))<=>(humble(X)<~>calm(X))))&... | ~humble(susan) | [
"p0",
"p5",
"p7",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7315225176778340683906265
% SZS output start Proof for 7315225176778340683906265
1. ! [X0] : ((~old(X0) | brave(X0)) => (wise(X0) & ~funny(X0))) [input p0]
6. ! [X0] : ((wise(X0) <~> patient(X0)) <=> (humble(X0) <~> calm(X0))) [input p5]
8. ! [X0] : ((kind(X0) <~> ~old(X0)) <=> (wise(X0) ... | 0 |
If mary is either rich or happy then someone is not wise or kind and vice versa.
Everyone who is not quiet is both not quiet and humble and vice versa.
Everyone who is both not generous and brave is both rich and not kind.
Everyone who is either wise or old is either not old or curious.
If lucy is quiet or rich then so... | Mary is old. | neutral | (((rich(mary)<~>happy(mary)))<=>(?[X]:((~wise(X)|kind(X)))))&
(![X]:(~quiet(X)<=>(~quiet(X)&humble(X))))&
(![X]:((~generous(X)&brave(X))=>(rich(X)&~kind(X))))&
(![X]:((wise(X)<~>old(X))=>(~old(X)<~>curious(X))))&
(((quiet(lucy)|rich(lucy)))=>(?[X]:((~happy(X)|strong(X)))))&
((?[X]:((~quiet(X)|calm(X))))<=>(?[X]:((~calm... | old(mary) | [] | null | 0 |
If alice is both not rich and creative then alice is not old or calm. Everyone who is either not rich or not wise is not kind and vice versa. If someone is either calm or not tall then alice is not tall and vice versa. Everyone who is both not curious and not brave is both not tall and brave and vice versa. Everyone wh... | John is not happy. | neutral | (((~rich(alice)&creative(alice)))=>((~old(alice)|calm(alice))))&
(![X]:((~rich(X)<~>~wise(X))<=>~kind(X)))&
((?[X]:((calm(X)<~>~tall(X))))<=>(~tall(alice)))&
(![X]:((~curious(X)&~brave(X))<=>(~tall(X)&brave(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(~wise(X)|brave(X))))&
((?[X]:((~funny(X)|humble(X))))=>(?[X]:((kind(X)&~wi... | ~happy(john) | [] | null | 0 |
Everyone who is either wise or not creative is not old.
Everyone who is both not wise and wise is happy or rich.
If paul is both not rich and not quiet then someone is either not brave or not quiet.
Everyone who is happy is either not funny or not humble.
Everyone who is generous is old or not wise.
If lucy is old then... | Fred is calm. | neutral | (![X]:((wise(X)<~>~creative(X))=>~old(X)))&
(![X]:((~wise(X)&wise(X))=>(happy(X)|rich(X))))&
(((~rich(paul)&~quiet(paul)))=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(![X]:(happy(X)=>(~funny(X)<~>~humble(X))))&
(![X]:(generous(X)=>(old(X)|~wise(X))))&
((old(lucy))<=>(?[X]:(~happy(X))))&
(![X]:((happy(X)|~strong(X))<=>(tall(X)... | calm(fred) | [] | null | 0 |
If someone is strong or not curious then lucy is not generous or tall and vice versa.
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not s... | John is creative. | neutral | ((?[X]:((strong(X)|~curious(X))))<=>((~generous(lucy)|tall(lucy))))&
(![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|... | creative(john) | [] | null | 0 |
If someone is either not creative or kind then someone is not rich. If someone is tall then paul is happy. Everyone who is both tall and not old is either patient or calm and vice versa. If someone is both creative and rich then someone is either not funny or rich and vice versa. Everyone who is both not strong and hap... | Paul is brave. | contradiction | ((?[X]:((~creative(X)<~>kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:(tall(X)))=>(happy(paul)))&
(![X]:((tall(X)&~old(X))<=>(patient(X)<~>calm(X))))&
((?[X]:((creative(X)&rich(X))))<=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((~strong(X)&happy(X))<=>(~calm(X)&~brave(X))))&
((?[X]:((kind(X)&~generous(X))))<=>((patient(fred)<~>c... | brave(paul) | [
"p1",
"p2",
"p4",
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9092124822438071309391241
% SZS output start Proof for 9092124822438071309391241
2. ? [X0] : tall(X0) => happy(paul) [input p1]
3. ! [X0] : ((~old(X0) & tall(X0)) <=> (patient(X0) <~> calm(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~brave(X0) & ~calm(X0))) [input p4]
7. ... | 0 |
Everyone who is either not funny or not humble is both quiet and not curious. Everyone who is not patient or not rich is both not strong and strong and vice versa. If someone is both patient and not brave then paul is either not funny or not brave and vice versa. Everyone who is funny or not kind is calm and vice versa... | Mary is not patient. | contradiction | (![X]:((~funny(X)<~>~humble(X))=>(quiet(X)&~curious(X))))&
(![X]:((~patient(X)|~rich(X))<=>(~strong(X)&strong(X))))&
((?[X]:((patient(X)&~brave(X))))<=>((~funny(paul)<~>~brave(paul))))&
(![X]:((funny(X)|~kind(X))<=>calm(X)))&
(![X]:((~old(X)<~>patient(X))<=>~rich(X)))&
(![X]:((kind(X)&~calm(X))<=>(wise(X)&humble(X))))&... | ~patient(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8857543987704506782725941
% SZS output start Proof for 8857543987704506782725941
2. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (strong(X0) & ~strong(X0))) [input p1]
23. ~patient(mary) [input hypothesis]
31. ! [X0] : (((~rich(X0) | ~patient(X0)) | (~strong(X0) | strong(X0))) & ((strong(X0) ... | 0 |
If someone is both not wise and not tall then paul is tall.
If susan is not rich then someone is not creative or not kind and vice versa.
If susan is brave or tall then someone is both not quiet and patient and vice versa.
Everyone who is kind is either brave or tall.
Everyone who is either patient or not strong is hap... | Mary is patient. | contradiction | ((?[X]:((~wise(X)&~tall(X))))=>(tall(paul)))&
((~rich(susan))<=>(?[X]:((~creative(X)|~kind(X)))))&
(((brave(susan)|tall(susan)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(kind(X)=>(brave(X)<~>tall(X))))&
(![X]:((patient(X)<~>~strong(X))<=>happy(X)))&
((~generous(susan))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((happ... | patient(mary) | [
"p2",
"p8",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8298518498101135171732645
% SZS output start Proof for 8298518498101135171732645
3. (tall(susan) | brave(susan)) <=> ? [X0] : (patient(X0) & ~quiet(X0)) [input p2]
9. ! [X0] : ((strong(X0) | wise(X0)) <=> (~patient(X0) & calm(X0))) [input p8]
11. ? [X0] : (rich(X0) | ~tall(X0)) => (~patie... | 0 |
Everyone who is either not curious or not old is kind.
If mary is both humble and not creative then someone is not creative.
If mary is either tall or not patient then lucy is curious or humble and vice versa.
If someone is both not generous and tall then lucy is patient or not curious.
If someone is not patient then l... | Lucy is not strong. | entailment | (![X]:((~curious(X)<~>~old(X))=>kind(X)))&
(((humble(mary)&~creative(mary)))=>(?[X]:(~creative(X))))&
(((tall(mary)<~>~patient(mary)))<=>((curious(lucy)|humble(lucy))))&
((?[X]:((~generous(X)&tall(X))))=>((patient(lucy)|~curious(lucy))))&
((?[X]:(~patient(X)))<=>(strong(lucy)))&
((?[X]:((~brave(X)|generous(X))))<=>((ta... | ~strong(lucy) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 736854848603025938616899
% SZS output start Proof for 736854848603025938616899
7. ! [X0] : ((~funny(X0) & curious(X0)) <=> (tall(X0) | funny(X0))) [input p6]
12. ! [X0] : ((curious(X0) | ~funny(X0)) => (~brave(X0) & ~strong(X0))) [input p11]
24. strong(lucy) [input hypothesis]
35. ! [X0] ... | 0 |
Everyone who is both not patient and patient is old or calm and vice versa. If someone is generous then lucy is either happy or tall and vice versa. Everyone who is either old or not happy is both quiet and not old. Everyone who is either old or not old is both funny and not happy. Everyone who is either curious or old... | Susan is not patient. | entailment | (![X]:((~patient(X)&patient(X))<=>(old(X)|calm(X))))&
((?[X]:(generous(X)))<=>((happy(lucy)<~>tall(lucy))))&
(![X]:((old(X)<~>~happy(X))=>(quiet(X)&~old(X))))&
(![X]:((old(X)<~>~old(X))=>(funny(X)&~happy(X))))&
(![X]:((curious(X)<~>old(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>~humble(X))=>~rich(X)))&
(((~quiet(john)&brave... | ~patient(susan) | [
"p0",
"p2",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5066381400859297583570135
% SZS output start Proof for 5066381400859297583570135
1. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (calm(X0) | old(X0))) [input p0]
3. ! [X0] : ((old(X0) <~> ~happy(X0)) => (~old(X0) & quiet(X0))) [input p2]
4. ! [X0] : ((old(X0) <~> ~old(X0)) => (~happy(X0) & ... | 0 |
Everyone who is not tall or patient is not brave or humble and vice versa.
If lucy is either not kind or not rich then susan is tall and vice versa.
If someone is not patient or quiet then someone is not happy or not brave and vice versa.
Everyone who is not happy is both not brave and not rich and vice versa.
Everyone... | John is generous. | neutral | (![X]:((~tall(X)|patient(X))<=>(~brave(X)|humble(X))))&
(((~kind(lucy)<~>~rich(lucy)))<=>(tall(susan)))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(~happy(X)<=>(~brave(X)&~rich(X))))&
(![X]:((~old(X)|~kind(X))=>~strong(X)))&
(((~patient(lucy)|~humble(lucy)))=>((humble(paul)&happy(paul)))... | generous(john) | [] | null | 0 |
Everyone who is rich or patient is either curious or not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or funny is both not creative and not quiet. Everyone who is brave or cur... | Alice is kind. | neutral | (![X]:((rich(X)|patient(X))=>(curious(X)<~>~curious(X))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(... | kind(alice) | [] | null | 0 |
If alice is both not rich and creative then alice is not old or calm. Everyone who is either not rich or not wise is not kind and vice versa. If someone is either calm or not tall then alice is not tall and vice versa. Everyone who is both not curious and not brave is both not tall and brave and vice versa. Everyone wh... | Susan is not calm. | neutral | (((~rich(alice)&creative(alice)))=>((~old(alice)|calm(alice))))&
(![X]:((~rich(X)<~>~wise(X))<=>~kind(X)))&
((?[X]:((calm(X)<~>~tall(X))))<=>(~tall(alice)))&
(![X]:((~curious(X)&~brave(X))<=>(~tall(X)&brave(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(~wise(X)|brave(X))))&
((?[X]:((~funny(X)|humble(X))))=>(?[X]:((kind(X)&~wi... | ~calm(susan) | [] | null | 0 |
If john is rich then john is either not calm or generous. If fred is either not generous or brave then paul is humble or rich and vice versa. Everyone who is not creative or humble is strong and vice versa. If lucy is both wise and not rich then alice is either not funny or humble. If lucy is both strong and not creati... | Susan is not kind. | contradiction | ((rich(john))=>((~calm(john)<~>generous(john))))&
(((~generous(fred)<~>brave(fred)))<=>((humble(paul)|rich(paul))))&
(![X]:((~creative(X)|humble(X))<=>strong(X)))&
(((wise(lucy)&~rich(lucy)))=>((~funny(alice)<~>humble(alice))))&
(((strong(lucy)&~creative(lucy)))<=>((patient(susan)<~>~wise(susan))))&
(((~generous(alice)... | ~kind(susan) | [
"p6",
"p11",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2117888441385966470207740
% SZS output start Proof for 2117888441385966470207740
7. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (funny(X0) & strong(X0))) [input p6]
12. ! [X0] : (happy(X0) <=> generous(X0)) [input p11]
15. ! [X0] : ((happy(X0) <~> strong(X0)) => ~patient(X0)) [input p14]
16. ? [... | 0 |
Everyone who is either creative or happy is either rich or patient.
Everyone who is both not generous and curious is humble.
Everyone who is quiet is humble.
Everyone who is not funny or not patient is not patient or not curious and vice versa.
Everyone who is strong is either old or rich and vice versa.
If susan is no... | Mary is generous. | neutral | (![X]:((creative(X)<~>happy(X))=>(rich(X)<~>patient(X))))&
(![X]:((~generous(X)&curious(X))=>humble(X)))&
(![X]:(quiet(X)=>humble(X)))&
(![X]:((~funny(X)|~patient(X))<=>(~patient(X)|~curious(X))))&
(![X]:(strong(X)<=>(old(X)<~>rich(X))))&
((~calm(susan))=>(brave(john)))&
(![X]:((~quiet(X)|creative(X))<=>(~tall(X)<~>~cr... | generous(mary) | [] | null | 0 |
Everyone who is not creative is not humble or patient.
Everyone who is not funny or not happy is either not kind or quiet and vice versa.
Everyone who is both brave and not calm is both not curious and not creative.
Everyone who is both rich and not kind is both generous and quiet and vice versa.
If someone is rich the... | Paul is calm. | neutral | (![X]:(~creative(X)=>(~humble(X)|patient(X))))&
(![X]:((~funny(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((brave(X)&~calm(X))=>(~curious(X)&~creative(X))))&
(![X]:((rich(X)&~kind(X))<=>(generous(X)&quiet(X))))&
((?[X]:(rich(X)))=>(?[X]:(~patient(X))))&
(![X]:(old(X)=>(~funny(X)<~>quiet(X))))&
((~happy(paul))<=>((~... | calm(paul) | [] | null | 0 |
Everyone who is brave is both not wise and not kind. If paul is calm or kind then fred is not humble. If susan is patient or generous then someone is both not brave and not quiet. If alice is either happy or calm then susan is both not quiet and quiet. If john is either humble or not humble then someone is not generous... | Alice is not brave. | entailment | (![X]:(brave(X)=>(~wise(X)&~kind(X))))&
(((calm(paul)|kind(paul)))=>(~humble(fred)))&
(((patient(susan)|generous(susan)))=>(?[X]:((~brave(X)&~quiet(X)))))&
(((happy(alice)<~>calm(alice)))=>((~quiet(susan)&quiet(susan))))&
(((humble(john)<~>~humble(john)))<=>(?[X]:(~generous(X))))&
(![X]:(~old(X)=>(funny(X)&~patient(X))... | ~brave(alice) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2213014708690918120233004
% SZS output start Proof for 2213014708690918120233004
1. ! [X0] : (brave(X0) => (~kind(X0) & ~wise(X0))) [input p0]
7. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p6]
23. brave(alice) [input hypothesis]
25. ! [X0] : ((~kind(X0) & ~wis... | 0 |
Everyone who is either not brave or not funny is not rich and vice versa. Everyone who is not rich is not quiet or not tall and vice versa. Everyone who is humble is kind or rich. If someone is both humble and not quiet then mary is funny or not generous. Everyone who is either humble or quiet is not rich and vice vers... | Susan is not humble. | contradiction | (![X]:((~brave(X)<~>~funny(X))<=>~rich(X)))&
(![X]:(~rich(X)<=>(~quiet(X)|~tall(X))))&
(![X]:(humble(X)=>(kind(X)|rich(X))))&
((?[X]:((humble(X)&~quiet(X))))=>((funny(mary)|~generous(mary))))&
(![X]:((humble(X)<~>quiet(X))<=>~rich(X)))&
((?[X]:(funny(X)))=>((~curious(mary)&curious(mary))))&
(![X]:((happy(X)|~rich(X))=>... | ~humble(susan) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6530678772788443169961600
% SZS output start Proof for 6530678772788443169961600
1. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> ~rich(X0)) [input p0]
2. ! [X0] : (~rich(X0) <=> (~tall(X0) | ~quiet(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> quiet(X0)) <=> ~rich(X0)) [input p4]
6. ? [X0] :... | 0 |
If fred is either not patient or not happy then someone is quiet or humble and vice versa. Everyone who is not funny or not kind is either not tall or humble. Everyone who is either rich or funny is not calm or not funny. If someone is both not old and not quiet then john is not tall and vice versa. If fred is both not... | Alice is quiet. | neutral | (((~patient(fred)<~>~happy(fred)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:((~funny(X)|~kind(X))=>(~tall(X)<~>humble(X))))&
(![X]:((rich(X)<~>funny(X))=>(~calm(X)|~funny(X))))&
((?[X]:((~old(X)&~quiet(X))))<=>(~tall(john)))&
(((~patient(fred)&~wise(fred)))<=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:((tall(X)&~humble(X)... | quiet(alice) | [] | null | 0 |
If someone is not generous then paul is not strong.
If someone is either calm or happy then paul is both not generous and not old.
Everyone who is both not tall and tall is not kind and vice versa.
If fred is either not kind or happy then someone is both not creative and wise.
If someone is brave then someone is rich o... | Lucy is not calm. | entailment | ((?[X]:(~generous(X)))=>(~strong(paul)))&
((?[X]:((calm(X)<~>happy(X))))=>((~generous(paul)&~old(paul))))&
(![X]:((~tall(X)&tall(X))<=>~kind(X)))&
(((~kind(fred)<~>happy(fred)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:(brave(X)))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~calm(X)=>old(X)))&
((?[X]:((kind(X)|~generous... | ~calm(lucy) | [
"p1",
"p2",
"p4",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7601793192478579826341772
% SZS output start Proof for 7601793192478579826341772
2. ? [X0] : (calm(X0) <~> happy(X0)) => (~old(paul) & ~generous(paul)) [input p1]
3. ! [X0] : ((tall(X0) & ~tall(X0)) <=> ~kind(X0)) [input p2]
5. ? [X0] : brave(X0) <=> ? [X0] : (generous(X0) | rich(X0)) [in... | 0 |
If someone is not funny or funny then someone is not funny and vice versa.
Everyone who is not patient is both brave and not brave.
If someone is both not calm and not kind then someone is either not tall or old and vice versa.
Everyone who is not brave is not tall and vice versa.
Everyone who is happy is not patient.
... | Lucy is not wise. | contradiction | ((?[X]:((~funny(X)|funny(X))))<=>(?[X]:(~funny(X))))&
(![X]:(~patient(X)=>(brave(X)&~brave(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>(?[X]:((~tall(X)<~>old(X)))))&
(![X]:(~brave(X)<=>~tall(X)))&
(![X]:(happy(X)=>~patient(X)))&
(((old(paul)|~creative(paul)))<=>((~wise(lucy)<~>~calm(lucy))))&
(((~happy(lucy)&~patient(lucy))... | ~wise(lucy) | [
"p1",
"p4",
"p5",
"p8",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6627389395490073835175692
% SZS output start Proof for 6627389395490073835175692
2. ! [X0] : (~patient(X0) => (~brave(X0) & brave(X0))) [input p1]
5. ! [X0] : (happy(X0) => ~patient(X0)) [input p4]
6. (~creative(paul) | old(paul)) <=> (~wise(lucy) <~> ~calm(lucy)) [input p5]
9. ! [X0] : (... | 0 |
If someone is both creative and not rich then someone is rich and vice versa. Everyone who is not happy or happy is not kind and vice versa. Everyone who is both creative and not curious is either kind or humble. Everyone who is strong is both not wise and curious. If john is both wise and generous then someone is happ... | John is not generous. | contradiction | ((?[X]:((creative(X)&~rich(X))))<=>(?[X]:(rich(X))))&
(![X]:((~happy(X)|happy(X))<=>~kind(X)))&
(![X]:((creative(X)&~curious(X))=>(kind(X)<~>humble(X))))&
(![X]:(strong(X)=>(~wise(X)&curious(X))))&
(((wise(john)&generous(john)))=>(?[X]:(happy(X))))&
((?[X]:((quiet(X)&rich(X))))<=>(?[X]:(creative(X))))&
(((humble(fred)<... | ~generous(john) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3986790317244807612434849
% SZS output start Proof for 3986790317244807612434849
1. ? [X0] : (~rich(X0) & creative(X0)) <=> ? [X0] : rich(X0) [input p0]
2. ! [X0] : ((happy(X0) | ~happy(X0)) <=> ~kind(X0)) [input p1]
8. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (generous(X0) & ~creative(X0)))... | 0 |
Everyone who is generous or creative is either old or not curious.
If alice is both not brave and funny then someone is either not rich or brave and vice versa.
Everyone who is both old and not kind is quiet or wise.
Everyone who is humble or curious is both not calm and old and vice versa.
If fred is either happy or n... | John is not wise. | entailment | (![X]:((generous(X)|creative(X))=>(old(X)<~>~curious(X))))&
(((~brave(alice)&funny(alice)))<=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|wise(X))))&
(![X]:((humble(X)|curious(X))<=>(~calm(X)&old(X))))&
(((happy(fred)<~>~patient(fred)))=>((brave(fred)<~>~strong(fred))))&
(![X]:((old(X)<~>~gener... | ~wise(john) | [
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 866084565851434034785726
% SZS output start Proof for 866084565851434034785726
8. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (calm(X0) | old(X0))) [input p7]
10. ! [X0] : ((old(X0) <~> ~happy(X0)) => (~old(X0) & quiet(X0))) [input p9]
11. ! [X0] : ((old(X0) <~> ~old(X0)) => (~happy(X0) & ... | 0 |
Everyone who is not generous or quiet is not rich or not generous and vice versa.
Everyone who is either quiet or tall is both not generous and funny.
Everyone who is not old is either not tall or not patient.
Everyone who is not old or not funny is either not wise or creative.
Everyone who is strong is not humble and ... | Mary is not happy. | neutral | (![X]:((~generous(X)|quiet(X))<=>(~rich(X)|~generous(X))))&
(![X]:((quiet(X)<~>tall(X))=>(~generous(X)&funny(X))))&
(![X]:(~old(X)=>(~tall(X)<~>~patient(X))))&
(![X]:((~old(X)|~funny(X))=>(~wise(X)<~>creative(X))))&
(![X]:(strong(X)<=>~humble(X)))&
((?[X]:(~curious(X)))=>((~strong(mary)|~creative(mary))))&
(((quiet(fre... | ~happy(mary) | [] | null | 0 |
Everyone who is both creative and funny is both strong and rich and vice versa.
Everyone who is not humble is either rich or patient.
If alice is happy or curious then someone is kind and vice versa.
If mary is either strong or creative then mary is not tall or wise.
Everyone who is rich is generous.
If mary is both no... | Mary is wise. | entailment | (![X]:((creative(X)&funny(X))<=>(strong(X)&rich(X))))&
(![X]:(~humble(X)=>(rich(X)<~>patient(X))))&
(((happy(alice)|curious(alice)))<=>(?[X]:(kind(X))))&
(((strong(mary)<~>creative(mary)))=>((~tall(mary)|wise(mary))))&
(![X]:(rich(X)=>generous(X)))&
(((~patient(mary)&~brave(mary)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(... | wise(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3804080255699786168123753
% SZS output start Proof for 3804080255699786168123753
19. ~calm(mary) & wise(mary) [input p18]
25. ~wise(mary) [input hypothesis]
127. wise(mary) [cnf transformation 19]
135. ~wise(mary) [cnf transformation 25]
167. 8 <=> wise(mary) [avatar definition]
278. 8 [a... | 0 |
Everyone who is either not old or not patient is not brave or not patient. Everyone who is humble or creative is not curious or patient. Everyone who is both brave and strong is either curious or creative and vice versa. Everyone who is both kind and brave is either not generous or quiet and vice versa. Everyone who is... | Lucy is strong. | contradiction | (![X]:((~old(X)<~>~patient(X))=>(~brave(X)|~patient(X))))&
(![X]:((humble(X)|creative(X))=>(~curious(X)|patient(X))))&
(![X]:((brave(X)&strong(X))<=>(curious(X)<~>creative(X))))&
(![X]:((kind(X)&brave(X))<=>(~generous(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(tall(X)|generous(X))))&
((?[X]:((~kind(X)|~tall(X))))=>(?[X]:((gen... | strong(lucy) | [
"p2",
"p3",
"p6",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4360833189578511333433979
% SZS output start Proof for 4360833189578511333433979
3. ! [X0] : ((strong(X0) & brave(X0)) <=> (curious(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((brave(X0) & kind(X0)) <=> (~generous(X0) <~> quiet(X0))) [input p3]
7. (old(lucy) & curious(lucy)) <=> ? [X0]... | 0 |
Everyone who is wise or kind is either not brave or not funny and vice versa.
If someone is kind or not curious then alice is both humble and kind.
If susan is not calm then someone is either not curious or not brave.
If someone is either not kind or strong then john is kind or not strong and vice versa.
Everyone who i... | Alice is not old. | contradiction | (![X]:((wise(X)|kind(X))<=>(~brave(X)<~>~funny(X))))&
((?[X]:((kind(X)|~curious(X))))=>((humble(alice)&kind(alice))))&
((~calm(susan))=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((~kind(X)<~>strong(X))))<=>((kind(john)|~strong(john))))&
(![X]:((happy(X)<~>rich(X))=>(~humble(X)&~curious(X))))&
(((funny(alice)&rich(ali... | ~old(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8400112427077098282966319
% SZS output start Proof for 8400112427077098282966319
9. ! [X0] : ((~old(X0) & ~curious(X0)) <=> curious(X0)) [input p8]
25. ~old(alice) [input hypothesis]
57. ! [X0] : (((~old(X0) & ~curious(X0)) | ~curious(X0)) & (curious(X0) | (old(X0) | curious(X0)))) [nnf t... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.