premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not happy or happy then someone is happy. Everyone who is happy or calm is not old and vice versa. Everyone who is both curious and not patient is not kind or not generous and vice versa. If lucy is both not rich and not old then john is either not quiet or generous and vice versa. If someone is not curio... | Alice is funny. | contradiction | ((?[X]:((~happy(X)|happy(X))))=>(?[X]:(happy(X))))&
(![X]:((happy(X)|calm(X))<=>~old(X)))&
(![X]:((curious(X)&~patient(X))<=>(~kind(X)|~generous(X))))&
(((~rich(lucy)&~old(lucy)))<=>((~quiet(john)<~>generous(john))))&
((?[X]:((~curious(X)|~brave(X))))<=>((~brave(alice)&~quiet(alice))))&
(![X]:(~kind(X)=>(wise(X)&~happy... | funny(alice) | [
"p1",
"p2",
"p4",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 904649401275266872344980
% SZS output start Proof for 904649401275266872344980
2. ! [X0] : ((calm(X0) | happy(X0)) <=> ~old(X0)) [input p1]
3. ! [X0] : ((~patient(X0) & curious(X0)) <=> (~generous(X0) | ~kind(X0))) [input p2]
5. ? [X0] : (~brave(X0) | ~curious(X0)) <=> (~quiet(alice) & ~b... | 0 |
If paul is both not curious and generous then someone is either curious or rich and vice versa.
Everyone who is not generous or not patient is not rich or generous.
Everyone who is either rich or generous is not creative or creative.
Everyone who is either patient or old is not patient.
Everyone who is funny or not cur... | Susan is strong. | neutral | (((~curious(paul)&generous(paul)))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~rich(X)|generous(X))))&
(![X]:((rich(X)<~>generous(X))=>(~creative(X)|creative(X))))&
(![X]:((patient(X)<~>old(X))=>~patient(X)))&
(![X]:((funny(X)|~curious(X))<=>~generous(X)))&
(![X]:(~generous(X)=>(calm(X)|fun... | strong(susan) | [] | null | 0 |
If someone is generous then someone is not humble. If john is either not rich or quiet then someone is both not happy and humble and vice versa. If someone is not calm then susan is either strong or not brave. Everyone who is both not quiet and not brave is either not brave or not rich. If someone is either not patient... | Susan is funny. | neutral | ((?[X]:(generous(X)))=>(?[X]:(~humble(X))))&
(((~rich(john)<~>quiet(john)))<=>(?[X]:((~happy(X)&humble(X)))))&
((?[X]:(~calm(X)))=>((strong(susan)<~>~brave(susan))))&
(![X]:((~quiet(X)&~brave(X))=>(~brave(X)<~>~rich(X))))&
((?[X]:((~patient(X)<~>quiet(X))))=>((curious(susan)&funny(susan))))&
(((humble(john)<~>strong(jo... | funny(susan) | [] | null | 0 |
Everyone who is either not brave or brave is not strong or not kind. Everyone who is both funny and not wise is either curious or not calm. Everyone who is not tall is not kind or not strong and vice versa. Everyone who is not wise is both not curious and not rich and vice versa. Everyone who is not strong or wise is b... | Paul is not funny. | entailment | (![X]:((~brave(X)<~>brave(X))=>(~strong(X)|~kind(X))))&
(![X]:((funny(X)&~wise(X))=>(curious(X)<~>~calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)|~strong(X))))&
(![X]:(~wise(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~strong(X)|wise(X))<=>(~generous(X)&tall(X))))&
(((~curious(mary)|~funny(mary)))<=>(?[X]:((generous(X)<~>~funny(X)... | ~funny(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5388100329072774481328560
% SZS output start Proof for 5388100329072774481328560
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => (~kind(X0) | ~strong(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & funny(X0)) => (curious(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : (~tall(X0) <=> (~strong(X0) | ~kind... | 0 |
Everyone who is both quiet and not wise is both brave and not creative and vice versa.
Everyone who is not humble is strong or generous and vice versa.
Everyone who is strong is not patient and vice versa.
Everyone who is not funny is both not quiet and tall.
Everyone who is kind is both not generous and not happy.
Eve... | Susan is not funny. | entailment | (![X]:((quiet(X)&~wise(X))<=>(brave(X)&~creative(X))))&
(![X]:(~humble(X)<=>(strong(X)|generous(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:(~funny(X)=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))<=>(?[X]:((~... | ~funny(susan) | [
"p0",
"p1",
"p5",
"p6",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 432383250149747970882224
% SZS output start Proof for 432383250149747970882224
1. ! [X0] : ((~wise(X0) & quiet(X0)) <=> (~creative(X0) & brave(X0))) [input p0]
2. ! [X0] : (~humble(X0) <=> (generous(X0) | strong(X0))) [input p1]
6. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (~kind(X0) & ~rich... | 0 |
If fred is not creative or not old then someone is not calm or quiet.
Everyone who is creative or not happy is not strong.
Everyone who is not creative or brave is both not humble and rich.
Everyone who is either not generous or creative is both not generous and funny.
Everyone who is kind or patient is generous or tal... | Alice is strong. | neutral | (((~creative(fred)|~old(fred)))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((creative(X)|~happy(X))=>~strong(X)))&
(![X]:((~creative(X)|brave(X))=>(~humble(X)&rich(X))))&
(![X]:((~generous(X)<~>creative(X))=>(~generous(X)&funny(X))))&
(![X]:((kind(X)|patient(X))<=>(generous(X)|tall(X))))&
(((~brave(mary)|generous(mary)))=>(... | strong(alice) | [] | null | 0 |
If someone is both funny and not kind then someone is either old or strong and vice versa. Everyone who is both curious and not wise is not happy or calm and vice versa. If john is either happy or not strong then paul is both not curious and creative. Everyone who is not rich or tall is either tall or not old and vice ... | Paul is calm. | neutral | ((?[X]:((funny(X)&~kind(X))))<=>(?[X]:((old(X)<~>strong(X)))))&
(![X]:((curious(X)&~wise(X))<=>(~happy(X)|calm(X))))&
(((happy(john)<~>~strong(john)))=>((~curious(paul)&creative(paul))))&
(![X]:((~rich(X)|tall(X))<=>(tall(X)<~>~old(X))))&
(![X]:((~kind(X)&~rich(X))<=>funny(X)))&
(![X]:(happy(X)<=>(~strong(X)|tall(X))))... | calm(paul) | [] | null | 0 |
Everyone who is either not patient or wise is not wise.
Everyone who is either not humble or not funny is tall or not patient and vice versa.
If someone is both not curious and not creative then lucy is not happy.
Everyone who is quiet is not generous and vice versa.
If someone is either calm or curious then someone is... | Mary is quiet. | contradiction | (![X]:((~patient(X)<~>wise(X))=>~wise(X)))&
(![X]:((~humble(X)<~>~funny(X))<=>(tall(X)|~patient(X))))&
((?[X]:((~curious(X)&~creative(X))))=>(~happy(lucy)))&
(![X]:(quiet(X)<=>~generous(X)))&
((?[X]:((calm(X)<~>curious(X))))=>(?[X]:(quiet(X))))&
(((strong(john)&curious(john)))<=>((happy(mary)<~>quiet(mary))))&
(![X]:((... | quiet(mary) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8152301680754851544551124
% SZS output start Proof for 8152301680754851544551124
4. ! [X0] : (quiet(X0) <=> ~generous(X0)) [input p3]
24. generous(mary) [input p23]
25. quiet(mary) [input hypothesis]
41. ! [X0] : ((quiet(X0) | generous(X0)) & (~generous(X0) | ~quiet(X0))) [nnf transformat... | 0 |
Everyone who is either not funny or kind is either happy or curious and vice versa. Everyone who is not old is not funny or not calm and vice versa. Everyone who is either curious or not funny is not curious and vice versa. Everyone who is not patient is either not calm or funny and vice versa. If someone is both quiet... | Lucy is not patient. | contradiction | (![X]:((~funny(X)<~>kind(X))<=>(happy(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)|~calm(X))))&
(![X]:((curious(X)<~>~funny(X))<=>~curious(X)))&
(![X]:(~patient(X)<=>(~calm(X)<~>funny(X))))&
((?[X]:((quiet(X)&generous(X))))<=>((~brave(john)<~>wise(john))))&
((?[X]:((~rich(X)&~patient(X))))<=>((~patient(paul)<~>funny... | ~patient(lucy) | [
"p0",
"p2",
"p3",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4693539313201274199971456
% SZS output start Proof for 4693539313201274199971456
1. ! [X0] : ((~funny(X0) <~> kind(X0)) <=> (happy(X0) <~> curious(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> ~curious(X0)) [input p2]
4. ! [X0] : (~patient(X0) <=> (~calm(X0) <~> funny(X0)... | 0 |
Everyone who is wise or not strong is both tall and not kind.
If someone is both not funny and old then someone is not calm or not rich and vice versa.
Everyone who is both not calm and funny is rich or generous.
If someone is both not wise and not curious then lucy is not wise or not strong and vice versa.
If mary is ... | Susan is wise. | contradiction | (![X]:((wise(X)|~strong(X))=>(tall(X)&~kind(X))))&
((?[X]:((~funny(X)&old(X))))<=>(?[X]:((~calm(X)|~rich(X)))))&
(![X]:((~calm(X)&funny(X))=>(rich(X)|generous(X))))&
((?[X]:((~wise(X)&~curious(X))))<=>((~wise(lucy)|~strong(lucy))))&
((patient(mary))<=>((humble(susan)&~calm(susan))))&
((~strong(paul))<=>(?[X]:((kind(X)<... | wise(susan) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5303956340989401872503025
% SZS output start Proof for 5303956340989401872503025
1. ! [X0] : ((~strong(X0) | wise(X0)) => (~kind(X0) & tall(X0))) [input p0]
6. ~strong(paul) <=> ? [X0] : (kind(X0) <~> tall(X0)) [input p5]
7. ! [X0] : (tall(X0) <=> ~old(X0)) [input p6]
13. ! [X0] : ((patie... | 0 |
If someone is both not creative and not generous then john is either not strong or not rich and vice versa.
Everyone who is not tall or not wise is old or not old.
Everyone who is not brave is not patient or calm and vice versa.
Everyone who is not humble or wise is not strong or happy.
If fred is both curious and not ... | Paul is not calm. | neutral | ((?[X]:((~creative(X)&~generous(X))))<=>((~strong(john)<~>~rich(john))))&
(![X]:((~tall(X)|~wise(X))=>(old(X)|~old(X))))&
(![X]:(~brave(X)<=>(~patient(X)|calm(X))))&
(![X]:((~humble(X)|wise(X))=>(~strong(X)|happy(X))))&
(((curious(fred)&~happy(fred)))<=>(?[X]:((~wise(X)<~>~tall(X)))))&
((?[X]:((rich(X)&quiet(X))))=>(?[... | ~calm(paul) | [] | null | 0 |
Everyone who is both quiet and kind is either not quiet or not calm and vice versa. Everyone who is both kind and funny is quiet and vice versa. Everyone who is rich or not happy is funny. If someone is kind then someone is humble and vice versa. If susan is tall or not curious then someone is not kind or old. Everyone... | Alice is calm. | contradiction | (![X]:((quiet(X)&kind(X))<=>(~quiet(X)<~>~calm(X))))&
(![X]:((kind(X)&funny(X))<=>quiet(X)))&
(![X]:((rich(X)|~happy(X))=>funny(X)))&
((?[X]:(kind(X)))<=>(?[X]:(humble(X))))&
(((tall(susan)|~curious(susan)))=>(?[X]:((~kind(X)|old(X)))))&
(![X]:((~wise(X)&happy(X))=>(kind(X)&~funny(X))))&
(((~calm(paul)&~quiet(paul)))<=... | calm(alice) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 9022132976138265585952016
% SZS output start Proof for 9022132976138265585952016
1. ! [X0] : ((kind(X0) & quiet(X0)) <=> (~quiet(X0) <~> ~calm(X0))) [input p0]
2. ! [X0] : ((funny(X0) & kind(X0)) <=> quiet(X0)) [input p1]
24. calm(alice) [input hypothesis]
37. ! [X0] : (((kind(X0) & quiet... | 0 |
Everyone who is curious or not calm is happy. If paul is both not old and happy then someone is either kind or not kind and vice versa. If someone is both patient and humble then fred is either curious or not kind. Everyone who is both tall and not creative is curious. If someone is both funny and not curious then some... | Lucy is creative. | neutral | (![X]:((curious(X)|~calm(X))=>happy(X)))&
(((~old(paul)&happy(paul)))<=>(?[X]:((kind(X)<~>~kind(X)))))&
((?[X]:((patient(X)&humble(X))))=>((curious(fred)<~>~kind(fred))))&
(![X]:((tall(X)&~creative(X))=>curious(X)))&
((?[X]:((funny(X)&~curious(X))))=>(?[X]:(humble(X))))&
(((~wise(john)&curious(john)))<=>(?[X]:((rich(X)... | creative(lucy) | [] | null | 0 |
If lucy is both creative and curious then lucy is both not old and happy and vice versa.
If someone is not generous then someone is either not happy or not old.
Everyone who is both not calm and not kind is brave and vice versa.
If someone is not patient then mary is either not humble or rich and vice versa.
If someone... | Susan is not generous. | neutral | (((creative(lucy)&curious(lucy)))<=>((~old(lucy)&happy(lucy))))&
((?[X]:(~generous(X)))=>(?[X]:((~happy(X)<~>~old(X)))))&
(![X]:((~calm(X)&~kind(X))<=>brave(X)))&
((?[X]:(~patient(X)))<=>((~humble(mary)<~>rich(mary))))&
((?[X]:((curious(X)|calm(X))))<=>(?[X]:((calm(X)&~funny(X)))))&
(![X]:((~brave(X)&funny(X))<=>(~stro... | ~generous(susan) | [] | null | 0 |
Everyone who is either not creative or not calm is both not rich and not happy and vice versa.
If john is either not happy or calm then john is kind.
Everyone who is not calm is not wise or happy.
Everyone who is not patient or not calm is tall or creative.
If mary is both not happy and not curious then someone is not ... | Mary is not happy. | entailment | (![X]:((~creative(X)<~>~calm(X))<=>(~rich(X)&~happy(X))))&
(((~happy(john)<~>calm(john)))=>(kind(john)))&
(![X]:(~calm(X)=>(~wise(X)|happy(X))))&
(![X]:((~patient(X)|~calm(X))=>(tall(X)|creative(X))))&
(((~happy(mary)&~curious(mary)))<=>(?[X]:((~rich(X)|tall(X)))))&
((rich(john))=>((~calm(john)<~>generous(john))))&
(((... | ~happy(mary) | [
"p0",
"p3",
"p4",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 40891237561872225586206
% SZS output start Proof for 40891237561872225586206
1. ! [X0] : ((~creative(X0) <~> ~calm(X0)) <=> (~happy(X0) & ~rich(X0))) [input p0]
4. ! [X0] : ((~calm(X0) | ~patient(X0)) => (creative(X0) | tall(X0))) [input p3]
5. (~curious(mary) & ~happy(mary)) <=> ? [X0] :... | 0 |
If paul is both quiet and not tall then someone is both old and rich and vice versa.
Everyone who is both not humble and not patient is both strong and kind.
If paul is both not patient and not humble then fred is both not happy and not wise.
Everyone who is either tall or wise is both not tall and calm.
If paul is bot... | Alice is creative. | neutral | (((quiet(paul)&~tall(paul)))<=>(?[X]:((old(X)&rich(X)))))&
(![X]:((~humble(X)&~patient(X))=>(strong(X)&kind(X))))&
(((~patient(paul)&~humble(paul)))=>((~happy(fred)&~wise(fred))))&
(![X]:((tall(X)<~>wise(X))=>(~tall(X)&calm(X))))&
(((funny(paul)&~kind(paul)))<=>(~old(alice)))&
(![X]:((calm(X)|~tall(X))=>(~wise(X)|~pati... | creative(alice) | [] | null | 0 |
If john is either strong or not generous then someone is both generous and not tall. Everyone who is not curious is not rich or not creative. Everyone who is not old is not kind and vice versa. If someone is creative or not wise then john is both old and not curious. If susan is both generous and not humble then paul i... | Susan is not creative. | entailment | (((strong(john)<~>~generous(john)))=>(?[X]:((generous(X)&~tall(X)))))&
(![X]:(~curious(X)=>(~rich(X)|~creative(X))))&
(![X]:(~old(X)<=>~kind(X)))&
((?[X]:((creative(X)|~wise(X))))=>((old(john)&~curious(john))))&
(((generous(susan)&~humble(susan)))=>((patient(paul)<~>quiet(paul))))&
(![X]:((~rich(X)|strong(X))<=>old(X))... | ~creative(susan) | [
"p3",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5045691249399619551893450
% SZS output start Proof for 5045691249399619551893450
4. ? [X0] : (~wise(X0) | creative(X0)) => (~curious(john) & old(john)) [input p3]
13. ! [X0] : ((patient(X0) | ~tall(X0)) <=> (~old(X0) | ~patient(X0))) [input p12]
20. ~strong(john) & patient(john) [input p1... | 0 |
Everyone who is humble or not wise is not strong or not rich and vice versa.
If someone is both not quiet and creative then someone is both creative and not tall.
If lucy is tall then mary is not rich or creative.
Everyone who is both wise and old is either brave or funny.
Everyone who is either not funny or not calm i... | Mary is rich. | entailment | (![X]:((humble(X)|~wise(X))<=>(~strong(X)|~rich(X))))&
((?[X]:((~quiet(X)&creative(X))))=>(?[X]:((creative(X)&~tall(X)))))&
((tall(lucy))=>((~rich(mary)|creative(mary))))&
(![X]:((wise(X)&old(X))=>(brave(X)<~>funny(X))))&
(![X]:((~funny(X)<~>~calm(X))=>~old(X)))&
(![X]:((happy(X)<~>~strong(X))=>~tall(X)))&
((?[X]:((~ki... | rich(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5376333079430240689411425
% SZS output start Proof for 5376333079430240689411425
20. ~kind(mary) & rich(mary) [input p19]
25. ~rich(mary) [input hypothesis]
119. rich(mary) [cnf transformation 20]
127. ~rich(mary) [cnf transformation 25]
150. 5 <=> rich(mary) [avatar definition]
264. 5 [a... | 0 |
Everyone who is humble is happy or not rich. Everyone who is not rich is not wise or not strong and vice versa. If alice is both not patient and not quiet then someone is brave or funny. Everyone who is either not happy or not old is either not generous or not tall. If susan is both not brave and not quiet then someone... | Susan is not quiet. | neutral | (![X]:(humble(X)=>(happy(X)|~rich(X))))&
(![X]:(~rich(X)<=>(~wise(X)|~strong(X))))&
(((~patient(alice)&~quiet(alice)))=>(?[X]:((brave(X)|funny(X)))))&
(![X]:((~happy(X)<~>~old(X))=>(~generous(X)<~>~tall(X))))&
(((~brave(susan)&~quiet(susan)))<=>(?[X]:((~generous(X)<~>funny(X)))))&
(((curious(fred)&brave(fred)))<=>(?[X]... | ~quiet(susan) | [] | null | 0 |
Everyone who is not humble is either creative or quiet and vice versa. If mary is both not funny and not kind then someone is patient or old. Everyone who is not brave is both calm and creative. Everyone who is either happy or not brave is both quiet and not generous and vice versa. Everyone who is both not strong and ... | Fred is creative. | neutral | (![X]:(~humble(X)<=>(creative(X)<~>quiet(X))))&
(((~funny(mary)&~kind(mary)))=>(?[X]:((patient(X)|old(X)))))&
(![X]:(~brave(X)=>(calm(X)&creative(X))))&
(![X]:((happy(X)<~>~brave(X))<=>(quiet(X)&~generous(X))))&
(![X]:((~strong(X)&humble(X))=>(~patient(X)&~generous(X))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(curious(X)<~... | creative(fred) | [] | null | 0 |
If someone is either not generous or generous then mary is brave or not brave and vice versa.
Everyone who is either not brave or not creative is either wise or rich and vice versa.
Everyone who is not wise is happy or not creative and vice versa.
Everyone who is brave is not calm or rich and vice versa.
Everyone who i... | Paul is creative. | contradiction | ((?[X]:((~generous(X)<~>generous(X))))<=>((brave(mary)|~brave(mary))))&
(![X]:((~brave(X)<~>~creative(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(happy(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient... | creative(paul) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6814486047276155431361864
% SZS output start Proof for 6814486047276155431361864
2. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input... | 0 |
If paul is not strong or not generous then susan is not creative.
If alice is either tall or not humble then susan is patient and vice versa.
Everyone who is not creative is quiet.
If fred is not calm or not curious then john is not generous or patient.
Everyone who is not patient or not curious is not kind or not humb... | Fred is not creative. | contradiction | (((~strong(paul)|~generous(paul)))=>(~creative(susan)))&
(((tall(alice)<~>~humble(alice)))<=>(patient(susan)))&
(![X]:(~creative(X)=>quiet(X)))&
(((~calm(fred)|~curious(fred)))=>((~generous(john)|patient(john))))&
(![X]:((~patient(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~creative... | ~creative(fred) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 777919915159393549281877
% SZS output start Proof for 777919915159393549281877
3. ! [X0] : (~creative(X0) => quiet(X0)) [input p2]
6. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (wise(X0) & ~creative(X0))) [input p5]
7. ! [X0] : ((~strong(X0) | ~old(X0)) => (creative(X0) <~> old(X0))) [... | 0 |
If alice is both creative and tall then lucy is not brave.
Everyone who is generous or not generous is not patient or generous.
Everyone who is both not old and not patient is old.
If someone is not humble then someone is both brave and generous.
Everyone who is not happy is not rich.
If someone is happy then someone i... | Alice is not kind. | neutral | (((creative(alice)&tall(alice)))=>(~brave(lucy)))&
(![X]:((generous(X)|~generous(X))=>(~patient(X)|generous(X))))&
(![X]:((~old(X)&~patient(X))=>old(X)))&
((?[X]:(~humble(X)))=>(?[X]:((brave(X)&generous(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((~quiet(X)&strong(X)))))&
(![X]:((tall(X)&rich(X))<=... | ~kind(alice) | [] | null | 0 |
Everyone who is humble is not happy.
If mary is not curious then susan is generous and vice versa.
Everyone who is not old or not quiet is not humble and vice versa.
If someone is not brave then someone is not brave or not generous.
If someone is strong or not tall then someone is wise and vice versa.
Everyone who is b... | Mary is not brave. | neutral | (![X]:(humble(X)=>~happy(X)))&
((~curious(mary))<=>(generous(susan)))&
(![X]:((~old(X)|~quiet(X))<=>~humble(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~brave(X)|~generous(X)))))&
((?[X]:((strong(X)|~tall(X))))<=>(?[X]:(wise(X))))&
(![X]:((humble(X)&~old(X))=>(happy(X)&~quiet(X))))&
(![X]:((strong(X)|~tall(X))=>(~wise(X)|old(X)... | ~brave(mary) | [] | 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 7315225176778340683160096
% SZS output start Proof for 7315225176778340683160096
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 someone is brave or not brave then someone is either creative or not curious. Everyone who is rich is not creative or not tall. If john is either not generous or not wise then someone is not strong and vice versa. If someone is either not tall or quiet then someone is both not patient and old and vice versa. Everyon... | John is wise. | neutral | ((?[X]:((brave(X)|~brave(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(rich(X)=>(~creative(X)|~tall(X))))&
(((~generous(john)<~>~wise(john)))<=>(?[X]:(~strong(X))))&
((?[X]:((~tall(X)<~>quiet(X))))<=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((old(X)|~calm(X))=>(~patient(X)|~wise(X))))&
(((~patient(mary)<~>wise(mary... | wise(john) | [] | null | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa. Everyone who is either not humble or strong is happy. If someone is funny or curious then someone is not humble or not generous and vice versa. Everyone who is either not wise or not brave is not quiet. Everyone who is both happy an... | Alice is happy. | contradiction | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | happy(alice) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3993304651115467722643041
% SZS output start Proof for 3993304651115467722643041
7. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (curious(X0) | rich(X0))) [input p6]
19. ~wise(alice) & curious(alice) [input p18]
25. happy(alice) [input hypothesis]
55. ! [X0] : (((rich(X0) & ~happy(X0)) | (~curio... | 0 |
Everyone who is kind or brave is both curious and not brave and vice versa.
Everyone who is both not kind and patient is rich and vice versa.
If someone is not patient then someone is not patient or creative.
Everyone who is both not patient and curious is not tall or not quiet and vice versa.
Everyone who is not funny... | Mary is quiet. | neutral | (![X]:((kind(X)|brave(X))<=>(curious(X)&~brave(X))))&
(![X]:((~kind(X)&patient(X))<=>rich(X)))&
((?[X]:(~patient(X)))=>(?[X]:((~patient(X)|creative(X)))))&
(![X]:((~patient(X)&curious(X))<=>(~tall(X)|~quiet(X))))&
(![X]:(~funny(X)=>(old(X)<~>~generous(X))))&
(![X]:((~humble(X)&~wise(X))<=>~calm(X)))&
(![X]:((humble(X)<... | quiet(mary) | [] | null | 0 |
If someone is not rich or not creative then someone is quiet or not rich. Everyone who is both not strong and creative is both not funny and not happy. If someone is not quiet or creative then john is patient and vice versa. Everyone who is not rich is wise. Everyone who is either not funny or not strong is not wise. E... | Paul is calm. | neutral | ((?[X]:((~rich(X)|~creative(X))))=>(?[X]:((quiet(X)|~rich(X)))))&
(![X]:((~strong(X)&creative(X))=>(~funny(X)&~happy(X))))&
((?[X]:((~quiet(X)|creative(X))))<=>(patient(john)))&
(![X]:(~rich(X)=>wise(X)))&
(![X]:((~funny(X)<~>~strong(X))=>~wise(X)))&
(![X]:(~quiet(X)=>(~wise(X)<~>patient(X))))&
(![X]:(~rich(X)<=>funny(... | calm(paul) | [] | null | 0 |
Everyone who is not patient or not funny is strong. If john is both not strong and not tall then alice is not old. Everyone who is both old and generous is both not quiet and not brave and vice versa. Everyone who is not patient is both kind and not funny and vice versa. Everyone who is not brave or not strong is old. ... | John is not curious. | neutral | (![X]:((~patient(X)|~funny(X))=>strong(X)))&
(((~strong(john)&~tall(john)))=>(~old(alice)))&
(![X]:((old(X)&generous(X))<=>(~quiet(X)&~brave(X))))&
(![X]:(~patient(X)<=>(kind(X)&~funny(X))))&
(![X]:((~brave(X)|~strong(X))=>old(X)))&
((?[X]:(~happy(X)))<=>((funny(lucy)|~generous(lucy))))&
(![X]:((quiet(X)&~wise(X))<=>(~... | ~curious(john) | [] | null | 0 |
If someone is either patient or funny then someone is both not funny and not patient. Everyone who is either not tall or not humble is humble or calm. Everyone who is not funny is curious or tall. If someone is quiet then someone is either brave or not happy. Everyone who is not curious is curious or not quiet and vice... | Lucy is creative. | neutral | ((?[X]:((patient(X)<~>funny(X))))=>(?[X]:((~funny(X)&~patient(X)))))&
(![X]:((~tall(X)<~>~humble(X))=>(humble(X)|calm(X))))&
(![X]:(~funny(X)=>(curious(X)|tall(X))))&
((?[X]:(quiet(X)))=>(?[X]:((brave(X)<~>~happy(X)))))&
(![X]:(~curious(X)<=>(curious(X)|~quiet(X))))&
(((~happy(alice)&~curious(alice)))<=>(?[X]:(~quiet(X... | creative(lucy) | [] | null | 0 |
Everyone who is both not rich and not kind is patient or happy. Everyone who is both not brave and not wise is both brave and not kind. Everyone who is not quiet is both old and not brave. Everyone who is either humble or not curious is either old or not tall. Everyone who is either curious or brave is both not brave a... | Paul is creative. | entailment | (![X]:((~rich(X)&~kind(X))=>(patient(X)|happy(X))))&
(![X]:((~brave(X)&~wise(X))=>(brave(X)&~kind(X))))&
(![X]:(~quiet(X)=>(old(X)&~brave(X))))&
(![X]:((humble(X)<~>~curious(X))=>(old(X)<~>~tall(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~brave(X)&strong(X))))&
((?[X]:((~happy(X)&humble(X))))<=>((calm(lucy)<~>~kind(lucy)... | creative(paul) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8171030310922144347527859
% SZS output start Proof for 8171030310922144347527859
8. (creative(paul) & ~old(paul)) <=> ? [X0] : (curious(X0) | ~generous(X0)) [input p7]
23. ? [X0] : (calm(X0) & ~generous(X0)) [input p22]
25. ~creative(paul) [input hypothesis]
48. ((creative(paul) & ~old(pa... | 0 |
If fred is both generous and strong then alice is not rich. Everyone who is not quiet or funny is both tall and old. Everyone who is either not brave or quiet is calm and vice versa. Everyone who is not old or kind is either kind or not strong. Everyone who is not wise is not humble or rich. Everyone who is not funny o... | Fred is creative. | entailment | (((generous(fred)&strong(fred)))=>(~rich(alice)))&
(![X]:((~quiet(X)|funny(X))=>(tall(X)&old(X))))&
(![X]:((~brave(X)<~>quiet(X))<=>calm(X)))&
(![X]:((~old(X)|kind(X))=>(kind(X)<~>~strong(X))))&
(![X]:(~wise(X)=>(~humble(X)|rich(X))))&
(![X]:((~funny(X)|tall(X))<=>strong(X)))&
(![X]:((~creative(X)<~>patient(X))<=>(tall... | creative(fred) | [
"p1",
"p6",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1235199843113325766393130
% SZS output start Proof for 1235199843113325766393130
2. ! [X0] : ((funny(X0) | ~quiet(X0)) => (old(X0) & tall(X0))) [input p1]
7. ! [X0] : ((~creative(X0) <~> patient(X0)) <=> (creative(X0) & tall(X0))) [input p6]
12. (curious(fred) & ~patient(fred)) <=> ? [X0]... | 0 |
If alice is brave or not patient then someone is brave or wise and vice versa.
Everyone who is not brave is both not generous and not calm and vice versa.
Everyone who is not happy or creative is not creative or generous.
Everyone who is either not generous or not happy is either kind or not brave.
If susan is either n... | John is creative. | contradiction | (((brave(alice)|~patient(alice)))<=>(?[X]:((brave(X)|wise(X)))))&
(![X]:(~brave(X)<=>(~generous(X)&~calm(X))))&
(![X]:((~happy(X)|creative(X))=>(~creative(X)|generous(X))))&
(![X]:((~generous(X)<~>~happy(X))=>(kind(X)<~>~brave(X))))&
(((~humble(susan)<~>patient(susan)))<=>(?[X]:((curious(X)|creative(X)))))&
(![X]:(brav... | creative(john) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1408926113892525405592747
% SZS output start Proof for 1408926113892525405592747
2. ! [X0] : (~brave(X0) <=> (~calm(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((creative(X0) | ~happy(X0)) => (generous(X0) | ~creative(X0))) [input p2]
6. ! [X0] : (brave(X0) => (~creative(X0) & rich(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 john is either not patient or not kind then someone is not happy and vice versa. Everyone who is either brave or not humble is not creative or not funny. Everyone who is either not tall or not old is not w... | Alice is not brave. | contradiction | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~tall(X)|~generous(X))=>~tall(X)))&
(((~patient(john)<~>~kind(john)))<=>(?[X]:(~happy(X))))&
(![X]:((brave(X)<~>~humble(X))=>(~creative(X)|~funny(X))))&
(![X]:((~tall(X)<~>~old(X))<=>~wise(X)))&
(((~kind(lucy)&happy(lucy)))<=>(~wise(alice)))&
(![X]:((rich(X)&~tall(X))<... | ~brave(alice) | [
"p1",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 908179136886156507232983
% SZS output start Proof for 908179136886156507232983
2. ! [X0] : ((~generous(X0) | ~tall(X0)) => ~tall(X0)) [input p1]
7. ! [X0] : ((~tall(X0) & rich(X0)) <=> (~rich(X0) & ~generous(X0))) [input p6]
20. ~brave(alice) <~> generous(alice) [input p19]
25. ~brave(ali... | 0 |
Everyone who is not old is either happy or old and vice versa.
If lucy is either not humble or quiet then fred is both calm and not funny.
Everyone who is either not rich or happy is not curious.
Everyone who is either strong or patient is kind.
If someone is either patient or not humble then someone is both happy and ... | Paul is not wise. | contradiction | (![X]:(~old(X)<=>(happy(X)<~>old(X))))&
(((~humble(lucy)<~>quiet(lucy)))=>((calm(fred)&~funny(fred))))&
(![X]:((~rich(X)<~>happy(X))=>~curious(X)))&
(![X]:((strong(X)<~>patient(X))=>kind(X)))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((old(X)|generous(X))=>(strong(X)&curious(X))))&
(... | ~wise(paul) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5307322865860632206263129
% SZS output start Proof for 5307322865860632206263129
1. ! [X0] : (~old(X0) <=> (happy(X0) <~> old(X0))) [input p0]
14. ? [X0] : (~happy(X0) & brave(X0)) <=> ? [X0] : ~wise(X0) [input p13]
23. ~wise(paul) [input hypothesis]
26. ? [X0] : (~happy(X0) & brave(X0)) ... | 0 |
Everyone who is patient or tall is either old or not tall.
If someone is quiet then alice is not humble or not creative and vice versa.
If mary is both not calm and not wise then alice is not funny or not happy and vice versa.
If someone is wise then fred is either not rich or humble.
Everyone who is not curious is eit... | Alice is not happy. | contradiction | (![X]:((patient(X)|tall(X))=>(old(X)<~>~tall(X))))&
((?[X]:(quiet(X)))<=>((~humble(alice)|~creative(alice))))&
(((~calm(mary)&~wise(mary)))<=>((~funny(alice)|~happy(alice))))&
((?[X]:(wise(X)))=>((~rich(fred)<~>humble(fred))))&
(![X]:(~curious(X)=>(rich(X)<~>patient(X))))&
((?[X]:(~funny(X)))=>((curious(john)&kind(john... | ~happy(alice) | [
"p1",
"p8",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5597470365852645859860071
% SZS output start Proof for 5597470365852645859860071
2. ? [X0] : quiet(X0) <=> (~creative(alice) | ~humble(alice)) [input p1]
9. ! [X0] : (humble(X0) <=> ~happy(X0)) [input p8]
12. (generous(alice) | ~rich(alice)) <=> (creative(alice) & strong(alice)) [input p1... | 0 |
If mary is both not wise and strong then mary is not creative.
Everyone who is strong is generous or strong and vice versa.
If susan is both creative and not humble then lucy is both strong and patient.
If mary is not kind then fred is both generous and not patient.
Everyone who is both calm and quiet is not tall or ri... | Mary is rich. | contradiction | (((~wise(mary)&strong(mary)))=>(~creative(mary)))&
(![X]:(strong(X)<=>(generous(X)|strong(X))))&
(((creative(susan)&~humble(susan)))=>((strong(lucy)&patient(lucy))))&
((~kind(mary))=>((generous(fred)&~patient(fred))))&
(![X]:((calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((~humble(john))=>((~rich(fred)|~creative(fred))))&... | rich(mary) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1797770438155546732687868
% SZS output start Proof for 1797770438155546732687868
5. ! [X0] : ((quiet(X0) & calm(X0)) <=> (rich(X0) | ~tall(X0))) [input p4]
23. ~calm(mary) [input p22]
25. rich(mary) [input hypothesis]
41. ! [X0] : (((quiet(X0) & calm(X0)) | (~rich(X0) & tall(X0))) & ((ric... | 0 |
If alice is not brave then someone is either patient or not patient.
Everyone who is both not tall and strong is both wise and curious.
If someone is both not happy and not generous then fred is not happy.
If paul is not funny or not patient then someone is both calm and not rich.
Everyone who is rich is both not funny... | John is creative. | entailment | ((~brave(alice))=>(?[X]:((patient(X)<~>~patient(X)))))&
(![X]:((~tall(X)&strong(X))=>(wise(X)&curious(X))))&
((?[X]:((~happy(X)&~generous(X))))=>(~happy(fred)))&
(((~funny(paul)|~patient(paul)))=>(?[X]:((calm(X)&~rich(X)))))&
(![X]:(rich(X)=>(~funny(X)&curious(X))))&
(![X]:(~curious(X)=>~funny(X)))&
(![X]:((brave(X)|~t... | creative(john) | [
"p6",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6409869514461705479699114
% SZS output start Proof for 6409869514461705479699114
7. ! [X0] : ((~tall(X0) | brave(X0)) => (creative(X0) <~> ~strong(X0))) [input p6]
13. ! [X0] : ((funny(X0) | ~brave(X0)) => (~old(X0) & creative(X0))) [input p12]
24. strong(john) [input p23]
25. ~creative(j... | 0 |
Everyone who is not funny is either humble or not wise and vice versa.
If someone is both not calm and strong then alice is either not patient or not kind.
If paul is not brave then someone is not kind or curious and vice versa.
Everyone who is happy is generous or not creative.
Everyone who is funny or strong is eithe... | John is curious. | neutral | (![X]:(~funny(X)<=>(humble(X)<~>~wise(X))))&
((?[X]:((~calm(X)&strong(X))))=>((~patient(alice)<~>~kind(alice))))&
((~brave(paul))<=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:(happy(X)=>(generous(X)|~creative(X))))&
(![X]:((funny(X)|strong(X))=>(calm(X)<~>quiet(X))))&
(![X]:((~rich(X)<~>generous(X))<=>~happy(X)))&
((~tall(... | curious(john) | [] | null | 0 |
Everyone who is kind is both old and happy.
Everyone who is old or curious is both funny and not patient.
If someone is generous then someone is either patient or not quiet.
If someone is both calm and not old then paul is not happy.
Everyone who is not quiet is curious and vice versa.
Everyone who is either curious or... | John is quiet. | neutral | (![X]:(kind(X)=>(old(X)&happy(X))))&
(![X]:((old(X)|curious(X))=>(funny(X)&~patient(X))))&
((?[X]:(generous(X)))=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:((calm(X)&~old(X))))=>(~happy(paul)))&
(![X]:(~quiet(X)<=>curious(X)))&
(![X]:((curious(X)<~>~wise(X))=>(~calm(X)<~>~curious(X))))&
(![X]:((strong(X)&~rich(X))<=>(... | quiet(john) | [] | null | 0 |
Everyone who is either not tall or humble is both happy and patient.
If someone is either not calm or curious then fred is either not curious or not quiet and vice versa.
Everyone who is either kind or not rich is tall or not funny and vice versa.
If someone is both strong and tall then paul is either brave or curious ... | Fred is not kind. | entailment | (![X]:((~tall(X)<~>humble(X))=>(happy(X)&patient(X))))&
((?[X]:((~calm(X)<~>curious(X))))<=>((~curious(fred)<~>~quiet(fred))))&
(![X]:((kind(X)<~>~rich(X))<=>(tall(X)|~funny(X))))&
((?[X]:((strong(X)&tall(X))))<=>((brave(paul)<~>curious(paul))))&
(![X]:((~old(X)|creative(X))=>(~calm(X)|rich(X))))&
(![X]:((kind(X)|~brav... | ~kind(fred) | [
"p2",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8234190782810784648238407
% SZS output start Proof for 8234190782810784648238407
3. ! [X0] : ((kind(X0) <~> ~rich(X0)) <=> (~funny(X0) | tall(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | kind(X0)) <=> (~quiet(X0) <~> kind(X0))) [input p5]
7. ! [X0] : ((funny(X0) | humble(X0)) => (~quiet(X0... | 0 |
If lucy is both wise and not curious then mary is either brave or not tall and vice versa. Everyone who is both happy and kind is both not rich and not curious and vice versa. Everyone who is either not funny or not wise is either not old or strong and vice versa. If someone is both not creative and kind then susan is ... | Mary is wise. | contradiction | (((wise(lucy)&~curious(lucy)))<=>((brave(mary)<~>~tall(mary))))&
(![X]:((happy(X)&kind(X))<=>(~rich(X)&~curious(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~old(X)<~>strong(X))))&
((?[X]:((~creative(X)&kind(X))))=>(~rich(susan)))&
(![X]:((~funny(X)&~calm(X))<=>(wise(X)&~happy(X))))&
((~calm(susan))=>(~patient(lucy)))&
(![X... | wise(mary) | [
"p4",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4768991323459317235176309
% SZS output start Proof for 4768991323459317235176309
5. ! [X0] : ((~calm(X0) & ~funny(X0)) <=> (~happy(X0) & wise(X0))) [input p4]
9. ! [X0] : (brave(X0) <=> (calm(X0) | ~brave(X0))) [input p8]
17. brave(mary) & ~happy(mary) [input p16]
24. wise(mary) [input hy... | 0 |
If someone is generous or not generous then john is either quiet or strong. Everyone who is not calm or not rich is either not old or not curious. If alice is not funny then fred is not brave and vice versa. If john is either quiet or not strong then someone is curious or wise and vice versa. Everyone who is generous o... | Fred is brave. | contradiction | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>strong(john))))&
(![X]:((~calm(X)|~rich(X))=>(~old(X)<~>~curious(X))))&
((~funny(alice))<=>(~brave(fred)))&
(((quiet(john)<~>~strong(john)))<=>(?[X]:((curious(X)|wise(X)))))&
(![X]:((generous(X)|calm(X))<=>(~kind(X)&happy(X))))&
(![X]:((~generous(X)|~humble(X))=>(~c... | brave(fred) | [
"p4",
"p5",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8763211069233163764154492
% SZS output start Proof for 8763211069233163764154492
5. ! [X0] : ((calm(X0) | generous(X0)) <=> (happy(X0) & ~kind(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~generous(X0)) => (old(X0) & ~curious(X0))) [input p5]
7. ! [X0] : (old(X0) <=> ~brave(X0)) [input p6... | 0 |
If someone is humble then john is curious.
If john is either not tall or not wise then someone is not curious.
Everyone who is either strong or funny is either not happy or kind and vice versa.
Everyone who is curious or not patient is happy or quiet and vice versa.
If lucy is patient or not patient then lucy is not ta... | Mary is not calm. | contradiction | ((?[X]:(humble(X)))=>(curious(john)))&
(((~tall(john)<~>~wise(john)))=>(?[X]:(~curious(X))))&
(![X]:((strong(X)<~>funny(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((curious(X)|~patient(X))<=>(happy(X)|quiet(X))))&
(((patient(lucy)|~patient(lucy)))<=>(~tall(lucy)))&
(![X]:(humble(X)=>(~funny(X)<~>humble(X))))&
((~rich(lucy))<... | ~calm(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5688414223466774111145483
% SZS output start Proof for 5688414223466774111145483
21. calm(mary) & ~old(mary) [input p20]
25. ~calm(mary) [input hypothesis]
26. calm(mary) [pure predicate removal 21]
132. calm(mary) [cnf transformation 26]
138. ~calm(mary) [cnf transformation 25]
279. $fal... | 0 |
Everyone who is both strong and kind is not rich. Everyone who is not quiet or quiet is strong or humble. Everyone who is both tall and creative is either not funny or not quiet. Everyone who is not happy or not quiet is calm. If someone is tall then someone is both curious and calm. Everyone who is both wise and patie... | Mary is not happy. | neutral | (![X]:((strong(X)&kind(X))=>~rich(X)))&
(![X]:((~quiet(X)|quiet(X))=>(strong(X)|humble(X))))&
(![X]:((tall(X)&creative(X))=>(~funny(X)<~>~quiet(X))))&
(![X]:((~happy(X)|~quiet(X))=>calm(X)))&
((?[X]:(tall(X)))=>(?[X]:((curious(X)&calm(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((creative(mary))<=>(?[X]:((tall(X... | ~happy(mary) | [] | null | 0 |
Everyone who is either not quiet or not wise is either calm or not wise.
If someone is not curious then alice is either not kind or generous and vice versa.
If someone is both not old and funny then someone is both not kind and calm.
Everyone who is not humble is both calm and not creative.
Everyone who is either brave... | John is rich. | contradiction | (![X]:((~quiet(X)<~>~wise(X))=>(calm(X)<~>~wise(X))))&
((?[X]:(~curious(X)))<=>((~kind(alice)<~>generous(alice))))&
((?[X]:((~old(X)&funny(X))))=>(?[X]:((~kind(X)&calm(X)))))&
(![X]:(~humble(X)=>(calm(X)&~creative(X))))&
(![X]:((brave(X)<~>humble(X))<=>(~wise(X)|humble(X))))&
(![X]:((calm(X)<~>~creative(X))<=>(strong(X... | rich(john) | [
"p5",
"p7",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2700418925706579789389342
% SZS output start Proof for 2700418925706579789389342
6. ! [X0] : ((calm(X0) <~> ~creative(X0)) <=> (strong(X0) <~> funny(X0))) [input p5]
8. ! [X0] : (old(X0) <=> (~rich(X0) & strong(X0))) [input p7]
9. ! [X0] : ((kind(X0) & ~brave(X0)) <=> (~rich(X0) <~> creat... | 0 |
Everyone who is not old is curious.
Everyone who is either not old or calm is both not brave and not generous and vice versa.
Everyone who is strong is either not kind or patient and vice versa.
If paul is not patient or not calm then fred is both not patient and not kind.
Everyone who is not tall or brave is both not ... | Lucy is not generous. | entailment | (![X]:(~old(X)=>curious(X)))&
(![X]:((~old(X)<~>calm(X))<=>(~brave(X)&~generous(X))))&
(![X]:(strong(X)<=>(~kind(X)<~>patient(X))))&
(((~patient(paul)|~calm(paul)))=>((~patient(fred)&~kind(fred))))&
(![X]:((~tall(X)|brave(X))=>(~calm(X)&~rich(X))))&
(![X]:((~generous(X)<~>old(X))=>~humble(X)))&
(![X]:(~curious(X)<=>(st... | ~generous(lucy) | [
"p6",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5808642546687937811125546
% SZS output start Proof for 5808642546687937811125546
7. ! [X0] : (~curious(X0) <=> (~rich(X0) | strong(X0))) [input p6]
11. ? [X0] : (~patient(X0) | ~happy(X0)) => (~generous(lucy) & quiet(lucy)) [input p10]
16. ! [X0] : (curious(X0) <=> (~strong(X0) | happy(X0... | 0 |
Everyone who is not funny or funny is generous and vice versa.
If fred is not rich or quiet then someone is either not tall or generous.
Everyone who is not brave is either not quiet or old and vice versa.
If someone is not patient or funny then mary is both not humble and not funny and vice versa.
Everyone who is not ... | Paul is wise. | contradiction | (![X]:((~funny(X)|funny(X))<=>generous(X)))&
(((~rich(fred)|quiet(fred)))=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>old(X))))&
((?[X]:((~patient(X)|funny(X))))<=>((~humble(mary)&~funny(mary))))&
(![X]:(~tall(X)=>(humble(X)<~>~tall(X))))&
((?[X]:((humble(X)&~kind(X))))=>(?[X]:((calm(X)<~>stron... | wise(paul) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6945683004920389111900577
% SZS output start Proof for 6945683004920389111900577
14. ! [X0] : ((~kind(X0) <~> tall(X0)) <=> ~wise(X0)) [input p13]
15. (~happy(paul) & ~wise(paul)) <=> ? [X0] : (tall(X0) | kind(X0)) [input p14]
24. wise(paul) [input hypothesis]
61. ! [X0] : ((((~tall(X0) |... | 0 |
Everyone who is not patient or creative is not humble and vice versa.
Everyone who is either strong or not generous is funny.
Everyone who is old is not strong and vice versa.
Everyone who is either not humble or not creative is creative.
Everyone who is both patient and brave is calm.
Everyone who is humble or old is ... | Fred is old. | neutral | (![X]:((~patient(X)|creative(X))<=>~humble(X)))&
(![X]:((strong(X)<~>~generous(X))=>funny(X)))&
(![X]:(old(X)<=>~strong(X)))&
(![X]:((~humble(X)<~>~creative(X))=>creative(X)))&
(![X]:((patient(X)&brave(X))=>calm(X)))&
(![X]:((humble(X)|old(X))<=>(~calm(X)|~quiet(X))))&
(((~quiet(john)&wise(john)))<=>((~old(lucy)<~>old(... | old(fred) | [] | null | 0 |
If someone is either happy or strong then someone is either not brave or not kind and vice versa.
If john is both not funny and not happy then alice is not rich.
Everyone who is old or creative is not generous and vice versa.
Everyone who is happy is not old or funny.
Everyone who is both not funny and rich is both not... | Fred is not patient. | contradiction | ((?[X]:((happy(X)<~>strong(X))))<=>(?[X]:((~brave(X)<~>~kind(X)))))&
(((~funny(john)&~happy(john)))=>(~rich(alice)))&
(![X]:((old(X)|creative(X))<=>~generous(X)))&
(![X]:(happy(X)=>(~old(X)|funny(X))))&
(![X]:((~funny(X)&rich(X))<=>(~old(X)&~strong(X))))&
(![X]:((curious(X)|humble(X))=>generous(X)))&
(![X]:((humble(X)<... | ~patient(fred) | [
"p2",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8058566212684316271607090
% SZS output start Proof for 8058566212684316271607090
3. ! [X0] : ((creative(X0) | old(X0)) <=> ~generous(X0)) [input p2]
10. ! [X0] : ((~kind(X0) | ~creative(X0)) <=> (patient(X0) <~> ~brave(X0))) [input p9]
11. ! [X0] : (~creative(X0) <=> (calm(X0) & brave(X0)... | 0 |
Everyone who is either not strong or not patient is not calm or not quiet and vice versa.
If paul is both strong and generous then someone is patient and vice versa.
Everyone who is creative is either not rich or tall and vice versa.
If someone is wise or calm then fred is old or not tall.
If someone is creative or not... | Fred is not strong. | contradiction | (![X]:((~strong(X)<~>~patient(X))<=>(~calm(X)|~quiet(X))))&
(((strong(paul)&generous(paul)))<=>(?[X]:(patient(X))))&
(![X]:(creative(X)<=>(~rich(X)<~>tall(X))))&
((?[X]:((wise(X)|calm(X))))=>((old(fred)|~tall(fred))))&
((?[X]:((creative(X)|~quiet(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(((curious(paul)&generous(paul)))=>(... | ~strong(fred) | [
"p0",
"p2",
"p8",
"p10",
"p11",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2181763747147695763159859
% SZS output start Proof for 2181763747147695763159859
1. ! [X0] : ((~strong(X0) <~> ~patient(X0)) <=> (~quiet(X0) | ~calm(X0))) [input p0]
3. ! [X0] : (creative(X0) <=> (~rich(X0) <~> tall(X0))) [input p2]
9. ! [X0] : (creative(X0) => (~creative(X0) & humble(X0)... | 0 |
Everyone who is either not creative or humble is not strong or not patient and vice versa.
Everyone who is either patient or kind is either strong or happy.
Everyone who is either wise or happy is happy.
If someone is not rich or kind then lucy is curious and vice versa.
Everyone who is either not strong or not quiet i... | John is funny. | entailment | (![X]:((~creative(X)<~>humble(X))<=>(~strong(X)|~patient(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))=>happy(X)))&
((?[X]:((~rich(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~strong(X)<~>~quiet(X))<=>~rich(X)))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:(~rich(X))))&
(![X]:(~cu... | funny(john) | [
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2088219346279098449216823
% SZS output start Proof for 2088219346279098449216823
12. generous(fred) <=> funny(john) [input p11]
13. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p12]
15. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p14]
25.... | 0 |
If someone is both wise and calm then someone is funny or brave and vice versa.
If someone is both not old and not wise then someone is not humble and vice versa.
Everyone who is either not wise or not patient is old.
Everyone who is patient is kind and vice versa.
Everyone who is both not old and kind is happy or quie... | Mary is not patient. | neutral | ((?[X]:((wise(X)&calm(X))))<=>(?[X]:((funny(X)|brave(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)<~>~patient(X))=>old(X)))&
(![X]:(patient(X)<=>kind(X)))&
(![X]:((~old(X)&kind(X))<=>(happy(X)|quiet(X))))&
(((humble(lucy)<~>~tall(lucy)))=>((~humble(john)<~>~curious(john))))&
(![X]:((crea... | ~patient(mary) | [] | null | 0 |
Everyone who is either funny or not patient is brave or not happy. Everyone who is not creative or happy is both generous and not wise and vice versa. Everyone who is funny or not quiet is not wise. If someone is either tall or kind then someone is both creative and quiet and vice versa. Everyone who is either humble o... | Mary is not wise. | entailment | (![X]:((funny(X)<~>~patient(X))=>(brave(X)|~happy(X))))&
(![X]:((~creative(X)|happy(X))<=>(generous(X)&~wise(X))))&
(![X]:((funny(X)|~quiet(X))=>~wise(X)))&
((?[X]:((tall(X)<~>kind(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:((humble(X)<~>~quiet(X))=>(~quiet(X)<~>~strong(X))))&
(![X]:((~humble(X)&kind(X))<=>(~curio... | ~wise(mary) | [
"p2",
"p6",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9147075496565569408188646
% SZS output start Proof for 9147075496565569408188646
3. ! [X0] : ((~quiet(X0) | funny(X0)) => ~wise(X0)) [input p2]
7. ! [X0] : (quiet(X0) <=> (curious(X0) | ~rich(X0))) [input p6]
8. ! [X0] : (~quiet(X0) => ~rich(X0)) [input p7]
15. ! [X0] : ((~funny(X0) <~> q... | 0 |
Everyone who is not calm is either old or not strong. Everyone who is either not kind or quiet is patient or not wise. Everyone who is patient is brave or tall. Everyone who is not generous is both not humble and not brave. Everyone who is both kind and not kind is brave and vice versa. If someone is both funny and not... | John is not patient. | entailment | (![X]:(~calm(X)=>(old(X)<~>~strong(X))))&
(![X]:((~kind(X)<~>quiet(X))=>(patient(X)|~wise(X))))&
(![X]:(patient(X)=>(brave(X)|tall(X))))&
(![X]:(~generous(X)=>(~humble(X)&~brave(X))))&
(![X]:((kind(X)&~kind(X))<=>brave(X)))&
((?[X]:((funny(X)&~kind(X))))<=>((humble(alice)|~generous(alice))))&
((?[X]:((happy(X)&~old(X))... | ~patient(john) | [
"p2",
"p4",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 116195585427915894392750
% SZS output start Proof for 116195585427915894392750
3. ! [X0] : (patient(X0) => (tall(X0) | brave(X0))) [input p2]
5. ! [X0] : ((~kind(X0) & kind(X0)) <=> brave(X0)) [input p4]
10. ! [X0] : ((calm(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~generous(X0))) [input p9]... | 0 |
If alice is either brave or not humble then someone is either not curious or funny and vice versa.
Everyone who is generous is either happy or not tall and vice versa.
Everyone who is not old or curious is brave and vice versa.
Everyone who is both not wise and creative is not tall or not funny and vice versa.
Everyone... | John is not kind. | contradiction | (((brave(alice)<~>~humble(alice)))<=>(?[X]:((~curious(X)<~>funny(X)))))&
(![X]:(generous(X)<=>(happy(X)<~>~tall(X))))&
(![X]:((~old(X)|curious(X))<=>brave(X)))&
(![X]:((~wise(X)&creative(X))<=>(~tall(X)|~funny(X))))&
(![X]:((~curious(X)<~>wise(X))<=>~wise(X)))&
((?[X]:(strong(X)))=>((generous(susan)&rich(susan))))&
((?... | ~kind(john) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5842703438566556260908609
% SZS output start Proof for 5842703438566556260908609
4. ! [X0] : ((creative(X0) & ~wise(X0)) <=> (~funny(X0) | ~tall(X0))) [input p3]
16. ! [X0] : ((kind(X0) & ~humble(X0)) <=> (tall(X0) | ~wise(X0))) [input p15]
25. ~kind(john) [input hypothesis]
40. ! [X0] : ... | 0 |
Everyone who is not patient or curious is old and vice versa.
Everyone who is either strong or generous is both curious and old.
Everyone who is both strong and not brave is either funny or creative and vice versa.
Everyone who is either not happy or strong is brave or not kind and vice versa.
If someone is kind or not... | Alice is not strong. | contradiction | (![X]:((~patient(X)|curious(X))<=>old(X)))&
(![X]:((strong(X)<~>generous(X))=>(curious(X)&old(X))))&
(![X]:((strong(X)&~brave(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))<=>(brave(X)|~kind(X))))&
((?[X]:((kind(X)|~strong(X))))=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(curi... | ~strong(alice) | [
"p0",
"p3",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 30619690407505217213650
% SZS output start Proof for 30619690407505217213650
1. ! [X0] : ((curious(X0) | ~patient(X0)) <=> old(X0)) [input p0]
4. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (~kind(X0) | brave(X0))) [input p3]
8. ! [X0] : (~brave(X0) <=> (patient(X0) | old(X0))) [input p7]
1... | 0 |
Everyone who is both not brave and happy is not rich and vice versa. Everyone who is not tall or not curious is either not generous or not kind. Everyone who is not humble is not creative or generous and vice versa. Everyone who is happy is not kind. If fred is both not brave and patient then fred is either not patient... | Mary is not tall. | contradiction | (![X]:((~brave(X)&happy(X))<=>~rich(X)))&
(![X]:((~tall(X)|~curious(X))=>(~generous(X)<~>~kind(X))))&
(![X]:(~humble(X)<=>(~creative(X)|generous(X))))&
(![X]:(happy(X)=>~kind(X)))&
(((~brave(fred)&patient(fred)))<=>((~patient(fred)<~>curious(fred))))&
(![X]:((humble(X)&~calm(X))<=>(patient(X)|~strong(X))))&
((?[X]:(~wi... | ~tall(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5999998519294254483965031
% SZS output start Proof for 5999998519294254483965031
8. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (~quiet(X0) | quiet(X0))) [input p7]
22. ~tall(mary) [input hypothesis]
40. ! [X0] : (((~quiet(X0) & tall(X0)) | (quiet(X0) & ~quiet(X0))) & ((~quiet(X0) | quiet(X0)) ... | 0 |
If someone is tall then someone is both not humble and wise and vice versa.
Everyone who is either funny or not patient is quiet or creative.
Everyone who is not quiet is not tall and vice versa.
If someone is both quiet and not curious then someone is both creative and curious.
Everyone who is both not funny and creat... | Mary is patient. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((funny(X)<~>~patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((creative(X)&curious(X)))))&
(![X]:((~funny(X)&creative(X))<=>~curious(X)))&
((?[X]:((~strong(X)&~old(X))))<=>((happy(paul)<~>~strong(pau... | patient(mary) | [
"p4",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2644570730795522040127775
% SZS output start Proof for 2644570730795522040127775
5. ! [X0] : ((creative(X0) & ~funny(X0)) <=> ~curious(X0)) [input p4]
10. ! [X0] : ((curious(X0) <~> ~funny(X0)) <=> (~brave(X0) & patient(X0))) [input p9]
18. funny(mary) & ~tall(mary) [input p17]
24. ~patie... | 0 |
Everyone who is either calm or not rich is both kind and not quiet. If mary is curious or rich then susan is not wise and vice versa. If someone is not wise or not calm then alice is not wise. Everyone who is either not brave or not funny is creative. Everyone who is both not generous and funny is kind or not rich. Eve... | Susan is generous. | neutral | (![X]:((calm(X)<~>~rich(X))=>(kind(X)&~quiet(X))))&
(((curious(mary)|rich(mary)))<=>(~wise(susan)))&
((?[X]:((~wise(X)|~calm(X))))=>(~wise(alice)))&
(![X]:((~brave(X)<~>~funny(X))=>creative(X)))&
(![X]:((~generous(X)&funny(X))=>(kind(X)|~rich(X))))&
(![X]:((~wise(X)|happy(X))<=>(kind(X)&~creative(X))))&
(![X]:((~strong... | generous(susan) | [] | null | 0 |
If paul is either not calm or not creative then someone is patient and vice versa.
Everyone who is both strong and happy is not creative or funny and vice versa.
Everyone who is both generous and humble is both not happy and not kind.
If mary is both kind and not brave then lucy is both kind and not calm and vice versa... | Mary is not funny. | entailment | (((~calm(paul)<~>~creative(paul)))<=>(?[X]:(patient(X))))&
(![X]:((strong(X)&happy(X))<=>(~creative(X)|funny(X))))&
(![X]:((generous(X)&humble(X))=>(~happy(X)&~kind(X))))&
(((kind(mary)&~brave(mary)))<=>((kind(lucy)&~calm(lucy))))&
(((happy(john)<~>quiet(john)))<=>(?[X]:((~strong(X)<~>~happy(X)))))&
(![X]:(kind(X)<=>(~... | ~funny(mary) | [
"p1",
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3158812621254096230125501
% SZS output start Proof for 3158812621254096230125501
2. ! [X0] : ((happy(X0) & strong(X0)) <=> (funny(X0) | ~creative(X0))) [input p1]
3. ! [X0] : ((humble(X0) & generous(X0)) => (~kind(X0) & ~happy(X0))) [input p2]
6. ! [X0] : (kind(X0) <=> (~generous(X0) | ~b... | 0 |
If someone is not rich then john is kind. If lucy is not humble or not happy then paul is either curious or calm. Everyone who is both strong and humble is either tall or funny. If someone is brave or not kind then fred is either old or patient and vice versa. Everyone who is rich or not curious is both not happy and r... | John is rich. | entailment | ((?[X]:(~rich(X)))=>(kind(john)))&
(((~humble(lucy)|~happy(lucy)))=>((curious(paul)<~>calm(paul))))&
(![X]:((strong(X)&humble(X))=>(tall(X)<~>funny(X))))&
((?[X]:((brave(X)|~kind(X))))<=>((old(fred)<~>patient(fred))))&
(![X]:((rich(X)|~curious(X))<=>(~happy(X)&rich(X))))&
(((kind(lucy)<~>wise(lucy)))<=>(?[X]:(creative(... | rich(john) | [
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 446407160982223704585051
% SZS output start Proof for 446407160982223704585051
10. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p9]
13. ! [X0] : ((quiet(X0) & ~humble(X0)) <=> (~old(X0) | calm(X0))) [input p12]
16. ! [X0] : ((tall(X0) | ~calm(X0)) <=> calm(X0))... | 0 |
Everyone who is both not wise and not funny is not kind or calm and vice versa.
Everyone who is either not wise or not generous is humble and vice versa.
Everyone who is not generous or calm is creative.
Everyone who is calm is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not br... | Fred is not patient. | entailment | (![X]:((~wise(X)&~funny(X))<=>(~kind(X)|calm(X))))&
(![X]:((~wise(X)<~>~generous(X))<=>humble(X)))&
(![X]:((~generous(X)|calm(X))=>creative(X)))&
(![X]:(calm(X)<=>(~generous(X)|~tall(X))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~s... | ~patient(fred) | [
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1925130898900760050503372
% SZS output start Proof for 1925130898900760050503372
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~generous(X0))) [input p3]
5. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((calm(X0) | curious(X0)) <=> (generous(X0) & humble(X0))) [inpu... | 0 |
Everyone who is not curious or strong is either not brave or not humble and vice versa.
Everyone who is not generous or not humble is funny or not old and vice versa.
If paul is both not brave and brave then someone is either not curious or kind and vice versa.
Everyone who is funny is both not generous and not tall an... | Fred is humble. | neutral | (![X]:((~curious(X)|strong(X))<=>(~brave(X)<~>~humble(X))))&
(![X]:((~generous(X)|~humble(X))<=>(funny(X)|~old(X))))&
(((~brave(paul)&brave(paul)))<=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:(funny(X)<=>(~generous(X)&~tall(X))))&
((?[X]:(~happy(X)))<=>((rich(paul)|~strong(paul))))&
((?[X]:(creative(X)))<=>((~humble(fre... | humble(fred) | [] | null | 0 |
Everyone who is not generous or funny is either not curious or not creative and vice versa.
Everyone who is not tall is patient and vice versa.
Everyone who is old or creative is both funny and brave.
Everyone who is either not patient or old is either quiet or kind and vice versa.
If alice is old then susan is both ol... | Alice is not old. | entailment | (![X]:((~generous(X)|funny(X))<=>(~curious(X)<~>~creative(X))))&
(![X]:(~tall(X)<=>patient(X)))&
(![X]:((old(X)|creative(X))=>(funny(X)&brave(X))))&
(![X]:((~patient(X)<~>old(X))<=>(quiet(X)<~>kind(X))))&
((old(alice))<=>((old(susan)&~wise(susan))))&
(((rich(paul)<~>brave(paul)))<=>(?[X]:(tall(X))))&
((?[X]:((~strong(X... | ~old(alice) | [
"p2",
"p4",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7186042387305931171660089
% SZS output start Proof for 7186042387305931171660089
3. ! [X0] : ((creative(X0) | old(X0)) => (brave(X0) & funny(X0))) [input p2]
5. old(alice) <=> (~wise(susan) & old(susan)) [input p4]
10. ! [X0] : (~curious(X0) => (~brave(X0) <~> ~old(X0))) [input p9]
19. fu... | 0 |
Everyone who is either not happy or not kind is not creative.
Everyone who is not rich is either wise or not wise and vice versa.
Everyone who is not creative or not curious is either not rich or not creative.
Everyone who is kind or not brave is not rich or not strong.
If mary is either not patient or generous then jo... | Paul is not tall. | contradiction | (![X]:((~happy(X)<~>~kind(X))=>~creative(X)))&
(![X]:(~rich(X)<=>(wise(X)<~>~wise(X))))&
(![X]:((~creative(X)|~curious(X))=>(~rich(X)<~>~creative(X))))&
(![X]:((kind(X)|~brave(X))=>(~rich(X)|~strong(X))))&
(((~patient(mary)<~>generous(mary)))<=>((calm(john)&~kind(john))))&
(![X]:((~quiet(X)&~wise(X))=>(strong(X)|~stron... | ~tall(paul) | [
"p1",
"p2",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5217335370709489382357666
% SZS output start Proof for 5217335370709489382357666
2. ! [X0] : (~rich(X0) <=> (wise(X0) <~> ~wise(X0))) [input p1]
3. ! [X0] : ((~curious(X0) | ~creative(X0)) => (~rich(X0) <~> ~creative(X0))) [input p2]
9. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> (patient(X... | 0 |
Everyone who is either not creative or not strong is either not generous or brave and vice versa.
Everyone who is either rich or not rich is both not quiet and kind and vice versa.
Everyone who is not old is patient.
Everyone who is either not strong or not humble is either not curious or not quiet and vice versa.
If s... | Paul is calm. | contradiction | (![X]:((~creative(X)<~>~strong(X))<=>(~generous(X)<~>brave(X))))&
(![X]:((rich(X)<~>~rich(X))<=>(~quiet(X)&kind(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((~strong(X)<~>~humble(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|~kind(X))))<=>((patient(alice)<~>creative(alice))))&
((?[X]:((patient(X)&happy(X))))=>(... | calm(paul) | [
"p1",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 486287770387561219179039
% SZS output start Proof for 486287770387561219179039
2. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (kind(X0) & ~quiet(X0))) [input p1]
7. ? [X0] : kind(X0) <=> (~creative(paul) & ~strong(paul)) [input p6]
10. ! [X0] : ((~funny(X0) | generous(X0)) => (~generous(X0) & ... | 0 |
If someone is both not creative and not happy then alice is either humble or not strong.
If someone is rich then susan is not creative or creative and vice versa.
Everyone who is strong or not generous is either curious or not happy and vice versa.
If someone is creative or kind then someone is not kind or kind and vic... | Alice is not old. | entailment | ((?[X]:((~creative(X)&~happy(X))))=>((humble(alice)<~>~strong(alice))))&
((?[X]:(rich(X)))<=>((~creative(susan)|creative(susan))))&
(![X]:((strong(X)|~generous(X))<=>(curious(X)<~>~happy(X))))&
((?[X]:((creative(X)|kind(X))))<=>(?[X]:((~kind(X)|kind(X)))))&
((?[X]:((humble(X)&~patient(X))))<=>((funny(susan)|generous(su... | ~old(alice) | [
"p6",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5567350078137806333502912
% SZS output start Proof for 5567350078137806333502912
7. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (old(X0) <~> ~tall(X0))) [input p6]
12. ! [X0] : ((patient(X0) | generous(X0)) <=> ~generous(X0)) [input p11]
13. ! [X0] : ((wise(X0) <~> ~tall(X0)) <=> (generous(X0... | 0 |
If someone is not brave then mary is both not wise and strong and vice versa.
If alice is both calm and not quiet then someone is both quiet and creative.
Everyone who is tall or not calm is not tall and vice versa.
Everyone who is both humble and not funny is rich or quiet.
Everyone who is happy is not rich or not qui... | Mary is not wise. | entailment | ((?[X]:(~brave(X)))<=>((~wise(mary)&strong(mary))))&
(((calm(alice)&~quiet(alice)))=>(?[X]:((quiet(X)&creative(X)))))&
(![X]:((tall(X)|~calm(X))<=>~tall(X)))&
(![X]:((humble(X)&~funny(X))=>(rich(X)|quiet(X))))&
(![X]:(happy(X)=>(~rich(X)|~quiet(X))))&
(![X]:(~funny(X)=>(happy(X)<~>patient(X))))&
((?[X]:((~calm(X)&~stro... | ~wise(mary) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"p14",
"p15",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2084832288005076081264943
% SZS output start Proof for 2084832288005076081264943
1. ? [X0] : ~brave(X0) <=> (strong(mary) & ~wise(mary)) [input p0]
3. ! [X0] : ((~calm(X0) | tall(X0)) <=> ~tall(X0)) [input p2]
6. ! [X0] : (~funny(X0) => (happy(X0) <~> patient(X0))) [input p5]
8. ! [X0] : ... | 0 |
Everyone who is rich is either strong or funny.
If someone is either not generous or strong then someone is not brave or not quiet and vice versa.
If fred is not patient then someone is not tall or patient and vice versa.
Everyone who is either not tall or not humble is both not strong and not tall and vice versa.
Ever... | Mary is patient. | entailment | (![X]:(rich(X)=>(strong(X)<~>funny(X))))&
((?[X]:((~generous(X)<~>strong(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((~patient(fred))<=>(?[X]:((~tall(X)|patient(X)))))&
(![X]:((~tall(X)<~>~humble(X))<=>(~strong(X)&~tall(X))))&
(![X]:((~patient(X)|~kind(X))<=>(generous(X)<~>~curious(X))))&
(![X]:(~wise(X)=>tall(X)))&
(![X... | patient(mary) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 26246554611308112927532
% SZS output start Proof for 26246554611308112927532
7. ! [X0] : ((creative(X0) <~> ~patient(X0)) <=> (~kind(X0) | creative(X0))) [input p6]
18. ~funny(mary) & kind(mary) [input p17]
24. ~patient(mary) [input hypothesis]
46. ! [X0] : ((((patient(X0) | ~creative(X0)... | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is not calm is both not calm and kind and vice versa.
If someone is curious or not happy then fred is calm or not generous.
If someone is both not happy and not old then someone is both not creative and not humble.
Everyone who is not ki... | Lucy is not humble. | contradiction | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>(~calm(X)&kind(X))))&
((?[X]:((curious(X)|~happy(X))))=>((calm(fred)|~generous(fred))))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~kind(X)|~calm(X))<=>(~patient(X)&wise(X))))&
(![X]:((~humble(X)|funny(X))<=>(creat... | ~humble(lucy) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5653508909871391141211749
% SZS output start Proof for 5653508909871391141211749
8. ! [X0] : ((~humble(X0) & calm(X0)) <=> (~calm(X0) & brave(X0))) [input p7]
17. ~funny(lucy) & calm(lucy) [input p16]
25. ~humble(lucy) [input hypothesis]
49. ! [X0] : (((~humble(X0) & calm(X0)) | (calm(X0)... | 0 |
Everyone who is not tall or not brave is both curious and not rich.
If paul is not patient then paul is both not strong and tall and vice versa.
If susan is not rich or calm then alice is either old or quiet and vice versa.
If someone is funny or not generous then john is not creative.
If someone is generous then someo... | Paul is quiet. | entailment | (![X]:((~tall(X)|~brave(X))=>(curious(X)&~rich(X))))&
((~patient(paul))<=>((~strong(paul)&tall(paul))))&
(((~rich(susan)|calm(susan)))<=>((old(alice)<~>quiet(alice))))&
((?[X]:((funny(X)|~generous(X))))=>(~creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((~quiet(X)<~>~funny(X)))))&
((?[X]:(~calm(X)))=>((~tall(susan)&st... | quiet(paul) | [
"p1",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2579705040313570420304265
% SZS output start Proof for 2579705040313570420304265
2. ~patient(paul) <=> (tall(paul) & ~strong(paul)) [input p1]
7. ! [X0] : (tall(X0) <=> (quiet(X0) & calm(X0))) [input p6]
15. ! [X0] : ((quiet(X0) & ~strong(X0)) <=> (patient(X0) | ~calm(X0))) [input p14]
24... | 0 |
Everyone who is either not creative or not humble is curious and vice versa.
If mary is curious or funny then someone is both kind and not strong.
Everyone who is not generous or quiet is either humble or not happy and vice versa.
Everyone who is both humble and not wise is not strong and vice versa.
Everyone who is no... | Mary is happy. | neutral | (![X]:((~creative(X)<~>~humble(X))<=>curious(X)))&
(((curious(mary)|funny(mary)))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((~generous(X)|quiet(X))<=>(humble(X)<~>~happy(X))))&
(![X]:((humble(X)&~wise(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(tall(X)<~>strong(X))))&
(![X]:(humble(X)<=>(old(X)&~creative(X))))&
(![X]:((~patie... | happy(mary) | [] | null | 0 |
If mary is brave then lucy is rich. If someone is either not funny or wise then someone is not brave and vice versa. Everyone who is not old is not wise or strong. Everyone who is generous is not creative or strong and vice versa. If susan is both not patient and not creative then someone is either not strong or creati... | John is not brave. | entailment | ((brave(mary))=>(rich(lucy)))&
((?[X]:((~funny(X)<~>wise(X))))<=>(?[X]:(~brave(X))))&
(![X]:(~old(X)=>(~wise(X)|strong(X))))&
(![X]:(generous(X)<=>(~creative(X)|strong(X))))&
(((~patient(susan)&~creative(susan)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(![X]:((funny(X)&rich(X))<=>(~creative(X)<~>curious(X))))&
(![X]:((... | ~brave(john) | [
"p2",
"p3",
"p6",
"p7",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4777801072733062371287386
% SZS output start Proof for 4777801072733062371287386
3. ! [X0] : (~old(X0) => (strong(X0) | ~wise(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (strong(X0) | ~creative(X0))) [input p3]
7. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~generous(X0) & ~happy(X0))... | 0 |
If someone is both not curious and funny then someone is both brave and not happy. Everyone who is not generous or not quiet is not creative or creative. Everyone who is both rich and not strong is funny and vice versa. Everyone who is both not funny and quiet is both not old and kind and vice versa. If mary is both wi... | Fred is old. | contradiction | ((?[X]:((~curious(X)&funny(X))))=>(?[X]:((brave(X)&~happy(X)))))&
(![X]:((~generous(X)|~quiet(X))=>(~creative(X)|creative(X))))&
(![X]:((rich(X)&~strong(X))<=>funny(X)))&
(![X]:((~funny(X)&quiet(X))<=>(~old(X)&kind(X))))&
(((wise(mary)&~humble(mary)))<=>(?[X]:(old(X))))&
(![X]:(happy(X)=>(patient(X)&~curious(X))))&
(((... | old(fred) | [
"p0",
"p3",
"p5",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8710093507927485204361592
% SZS output start Proof for 8710093507927485204361592
1. ? [X0] : (funny(X0) & ~curious(X0)) => ? [X0] : (~happy(X0) & brave(X0)) [input p0]
4. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (kind(X0) & ~old(X0))) [input p3]
6. ! [X0] : (happy(X0) => (~curious(X0) & pat... | 0 |
If someone is rich or funny then lucy is not tall or not strong and vice versa. If lucy is not tall then fred is both rich and funny. If john is both not strong and brave then someone is both happy and wise. If lucy is not curious then someone is humble or not brave. Everyone who is both not calm and tall is either gen... | Susan is not kind. | contradiction | ((?[X]:((rich(X)|funny(X))))<=>((~tall(lucy)|~strong(lucy))))&
((~tall(lucy))=>((rich(fred)&funny(fred))))&
(((~strong(john)&brave(john)))=>(?[X]:((happy(X)&wise(X)))))&
((~curious(lucy))=>(?[X]:((humble(X)|~brave(X)))))&
(![X]:((~calm(X)&tall(X))<=>(generous(X)<~>humble(X))))&
(![X]:((~brave(X)<~>~rich(X))<=>(~rich(X)... | ~kind(susan) | [
"p6",
"p7",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6097131510868867001779487
% SZS output start Proof for 6097131510868867001779487
7. ! [X0] : ((~wise(X0) | ~kind(X0)) => (~patient(X0) <~> rich(X0))) [input p6]
8. ! [X0] : ((patient(X0) <~> ~humble(X0)) <=> (calm(X0) & old(X0))) [input p7]
12. ! [X0] : ((~rich(X0) <~> tall(X0)) <=> ~crea... | 0 |
If someone is not calm then someone is both not happy and not calm and vice versa.
Everyone who is both creative and kind is either not funny or not humble.
Everyone who is either calm or not strong is not strong or strong and vice versa.
If someone is funny then someone is not curious or kind and vice versa.
Everyone ... | Alice is creative. | neutral | ((?[X]:(~calm(X)))<=>(?[X]:((~happy(X)&~calm(X)))))&
(![X]:((creative(X)&kind(X))=>(~funny(X)<~>~humble(X))))&
(![X]:((calm(X)<~>~strong(X))<=>(~strong(X)|strong(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:(old(X)=>(~funny(X)<~>patient(X))))&
(![X]:((~humble(X)<~>happy(X))<=>tall(X)))&
(![X]:((st... | creative(alice) | [] | null | 0 |
If susan is either not calm or not kind then someone is not generous and vice versa.
Everyone who is either quiet or not brave is not old or not calm and vice versa.
Everyone who is not rich or not calm is both not humble and happy.
If fred is kind then susan is both not calm and not patient.
If john is both patient an... | Alice is patient. | neutral | (((~calm(susan)<~>~kind(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~old(X)|~calm(X))))&
(![X]:((~rich(X)|~calm(X))=>(~humble(X)&happy(X))))&
((kind(fred))=>((~calm(susan)&~patient(susan))))&
(((patient(john)&calm(john)))<=>(?[X]:((wise(X)&brave(X)))))&
(![X]:(tall(X)<=>(~creative(X)<~>kind(X)))... | patient(alice) | [] | null | 0 |
Everyone who is kind or not wise is either calm or happy and vice versa. Everyone who is wise is either not brave or tall. If someone is not calm then someone is not humble. Everyone who is not generous is both curious and brave and vice versa. Everyone who is either not patient or generous is not brave and vice versa.... | Paul is not tall. | contradiction | (![X]:((kind(X)|~wise(X))<=>(calm(X)<~>happy(X))))&
(![X]:(wise(X)=>(~brave(X)<~>tall(X))))&
((?[X]:(~calm(X)))=>(?[X]:(~humble(X))))&
(![X]:(~generous(X)<=>(curious(X)&brave(X))))&
(![X]:((~patient(X)<~>generous(X))<=>~brave(X)))&
(![X]:(creative(X)<=>(~funny(X)|humble(X))))&
((?[X]:((humble(X)&rich(X))))<=>(?[X]:(old... | ~tall(paul) | [
"p1",
"p3",
"p4",
"p9",
"p10",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7876399671744512527398810
% SZS output start Proof for 7876399671744512527398810
2. ! [X0] : (wise(X0) => (~brave(X0) <~> tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) <=> (brave(X0) & curious(X0))) [input p3]
5. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> ~brave(X0)) [input p4]
10. ... | 0 |
If someone is both generous and patient then susan is both not curious and brave and vice versa.
Everyone who is either calm or not generous is not brave or not creative and vice versa.
Everyone who is humble or old is both not kind and strong.
If john is not old or creative then fred is either old or not old.
Everyone... | Lucy is not curious. | contradiction | ((?[X]:((generous(X)&patient(X))))<=>((~curious(susan)&brave(susan))))&
(![X]:((calm(X)<~>~generous(X))<=>(~brave(X)|~creative(X))))&
(![X]:((humble(X)|old(X))=>(~kind(X)&strong(X))))&
(((~old(john)|creative(john)))=>((old(fred)<~>~old(fred))))&
(![X]:((tall(X)<~>~curious(X))<=>(~funny(X)&~strong(X))))&
((?[X]:((~happy... | ~curious(lucy) | [
"p2",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1534567233183727811866744
% SZS output start Proof for 1534567233183727811866744
3. ! [X0] : ((old(X0) | humble(X0)) => (strong(X0) & ~kind(X0))) [input p2]
5. ! [X0] : ((tall(X0) <~> ~curious(X0)) <=> (~strong(X0) & ~funny(X0))) [input p4]
10. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> ~kind... | 0 |
Everyone who is either not patient or not calm is both creative and generous and vice versa.
Everyone who is either funny or tall is both creative and not brave and vice versa.
If someone is not kind then someone is both not wise and not tall.
Everyone who is either generous or rich is either not tall or tall and vice ... | Susan is not creative. | neutral | (![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&generous(X))))&
(![X]:((funny(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~tall(X)<~>tall(X))))&
(((~curious(lucy)&strong(lucy)))<=>(quiet(fred)))&
(![X]:(tall(X)=>(~patient(X)&~humble(X)))... | ~creative(susan) | [] | null | 0 |
Everyone who is either not strong or not humble is both not calm and humble and vice versa.
If someone is happy or not quiet then someone is patient or kind and vice versa.
Everyone who is not rich is both not wise and humble.
If john is not curious or happy then someone is both humble and generous and vice versa.
Ever... | Alice is not humble. | contradiction | (![X]:((~strong(X)<~>~humble(X))<=>(~calm(X)&humble(X))))&
((?[X]:((happy(X)|~quiet(X))))<=>(?[X]:((patient(X)|kind(X)))))&
(![X]:(~rich(X)=>(~wise(X)&humble(X))))&
(((~curious(john)|happy(john)))<=>(?[X]:((humble(X)&generous(X)))))&
(![X]:((~kind(X)<~>patient(X))<=>(~kind(X)<~>rich(X))))&
((quiet(john))=>((rich(paul)<... | ~humble(alice) | [
"p0",
"p8",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3421656829398357520144863
% SZS output start Proof for 3421656829398357520144863
1. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> (humble(X0) & ~calm(X0))) [input p0]
9. ! [X0] : ((~humble(X0) & old(X0)) => (~quiet(X0) <~> generous(X0))) [input p8]
13. ! [X0] : (calm(X0) <=> (funny(X0) & st... | 0 |
If someone is creative or quiet then someone is not humble and vice versa. Everyone who is not kind or not generous is happy and vice versa. If lucy is both not old and creative then john is both not generous and not patient and vice versa. If alice is humble or old then lucy is patient and vice versa. If someone is bo... | Lucy is tall. | neutral | ((?[X]:((creative(X)|quiet(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~kind(X)|~generous(X))<=>happy(X)))&
(((~old(lucy)&creative(lucy)))<=>((~generous(john)&~patient(john))))&
(((humble(alice)|old(alice)))<=>(patient(lucy)))&
((?[X]:((~old(X)&happy(X))))=>(?[X]:((~generous(X)|~kind(X)))))&
((?[X]:((brave(X)<~>rich(X))))<=>... | tall(lucy) | [] | null | 0 |
Everyone who is both generous and not humble is not calm or not creative and vice versa. If paul is both creative and not strong then someone is patient or not quiet and vice versa. Everyone who is both curious and not patient is either wise or quiet and vice versa. If someone is either not humble or not old then mary ... | Fred is not calm. | contradiction | (![X]:((generous(X)&~humble(X))<=>(~calm(X)|~creative(X))))&
(((creative(paul)&~strong(paul)))<=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((curious(X)&~patient(X))<=>(wise(X)<~>quiet(X))))&
((?[X]:((~humble(X)<~>~old(X))))=>(~rich(mary)))&
(((~funny(fred)<~>~brave(fred)))=>((~quiet(paul)|calm(paul))))&
((?[X]:((~funny(X... | ~calm(fred) | [
"p1",
"p9",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6417077448918075649939827
% SZS output start Proof for 6417077448918075649939827
2. (~strong(paul) & creative(paul)) <=> ? [X0] : (~quiet(X0) | patient(X0)) [input p1]
10. ! [X0] : ((creative(X0) | ~curious(X0)) => (strong(X0) & ~brave(X0))) [input p9]
13. ! [X0] : (~calm(X0) => (patient(... | 0 |
If mary is either not generous or not strong then mary is either humble or curious.
If fred is generous then paul is humble and vice versa.
If john is both not happy and strong then someone is happy or kind.
Everyone who is not brave is tall or not funny and vice versa.
Everyone who is generous is not kind or quiet and... | Susan is quiet. | neutral | (((~generous(mary)<~>~strong(mary)))=>((humble(mary)<~>curious(mary))))&
((generous(fred))<=>(humble(paul)))&
(((~happy(john)&strong(john)))=>(?[X]:((happy(X)|kind(X)))))&
(![X]:(~brave(X)<=>(tall(X)|~funny(X))))&
(![X]:(generous(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~generous(X)&creative(X))=>(patient(X)&tall(X))))&
((?... | quiet(susan) | [] | null | 0 |
Everyone who is not funny is both calm and not funny and vice versa.
If fred is not quiet or patient then john is creative and vice versa.
If john is not calm or not patient then mary is not happy or not old and vice versa.
If someone is either kind or humble then alice is creative and vice versa.
Everyone who is wise ... | Mary is not wise. | entailment | (![X]:(~funny(X)<=>(calm(X)&~funny(X))))&
(((~quiet(fred)|patient(fred)))<=>(creative(john)))&
(((~calm(john)|~patient(john)))<=>((~happy(mary)|~old(mary))))&
((?[X]:((kind(X)<~>humble(X))))<=>(creative(alice)))&
(![X]:((wise(X)|calm(X))=>(~humble(X)|tall(X))))&
(![X]:((curious(X)|strong(X))<=>(funny(X)<~>wise(X))))&
(... | ~wise(mary) | [
"p0",
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3059792988931187662856479
% SZS output start Proof for 3059792988931187662856479
1. ! [X0] : (~funny(X0) <=> (~funny(X0) & calm(X0))) [input p0]
6. ! [X0] : ((strong(X0) | curious(X0)) <=> (funny(X0) <~> wise(X0))) [input p5]
7. ! [X0] : ((brave(X0) | calm(X0)) <=> (~tall(X0) & calm(X0)))... | 0 |
Everyone who is both creative and not kind is not old or curious.
If someone is creative or not wise then someone is both strong and old and vice versa.
Everyone who is not patient or happy is both not rich and not quiet and vice versa.
Everyone who is kind is generous.
If john is happy then someone is either not kind ... | Alice is quiet. | neutral | (![X]:((creative(X)&~kind(X))=>(~old(X)|curious(X))))&
((?[X]:((creative(X)|~wise(X))))<=>(?[X]:((strong(X)&old(X)))))&
(![X]:((~patient(X)|happy(X))<=>(~rich(X)&~quiet(X))))&
(![X]:(kind(X)=>generous(X)))&
((happy(john))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
((~quiet(john))=>(?[X]:((~strong(X)<~>brave(X)))))&
((?[X]:... | quiet(alice) | [] | null | 0 |
If lucy is strong then susan is not kind and vice versa.
If fred is both strong and not curious then lucy is quiet.
Everyone who is either quiet or generous is either happy or rich.
If someone is not old then lucy is both creative and strong and vice versa.
If someone is not rich then john is either quiet or kind.
If l... | Mary is brave. | contradiction | ((strong(lucy))<=>(~kind(susan)))&
(((strong(fred)&~curious(fred)))=>(quiet(lucy)))&
(![X]:((quiet(X)<~>generous(X))=>(happy(X)<~>rich(X))))&
((?[X]:(~old(X)))<=>((creative(lucy)&strong(lucy))))&
((?[X]:(~rich(X)))=>((quiet(john)<~>kind(john))))&
(((funny(lucy)|~rich(lucy)))<=>(?[X]:((~funny(X)|tall(X)))))&
((old(lucy)... | brave(mary) | [
"p0",
"p3",
"p8",
"p12",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2896913204124133238513304
% SZS output start Proof for 2896913204124133238513304
1. strong(lucy) <=> ~kind(susan) [input p0]
4. ? [X0] : ~old(X0) <=> (strong(lucy) & creative(lucy)) [input p3]
9. ? [X0] : ~old(X0) <=> ? [X0] : ~wise(X0) [input p8]
13. ! [X0] : (patient(X0) => (generous(X0... | 0 |
Everyone who is rich is not rich or not funny and vice versa.
Everyone who is both not rich and quiet is both happy and old and vice versa.
Everyone who is not creative or creative is not old or quiet and vice versa.
Everyone who is quiet is curious or not brave and vice versa.
Everyone who is creative or not kind is n... | Fred is generous. | contradiction | (![X]:(rich(X)<=>(~rich(X)|~funny(X))))&
(![X]:((~rich(X)&quiet(X))<=>(happy(X)&old(X))))&
(![X]:((~creative(X)|creative(X))<=>(~old(X)|quiet(X))))&
(![X]:(quiet(X)<=>(curious(X)|~brave(X))))&
(![X]:((creative(X)|~kind(X))=>(~wise(X)|~curious(X))))&
(((wise(lucy)|~brave(lucy)))<=>(?[X]:((~happy(X)|~funny(X)))))&
(![X]:... | generous(fred) | [
"p0",
"p2",
"p3",
"p6",
"p10",
"p11",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3092816979884935774539435
% SZS output start Proof for 3092816979884935774539435
1. ! [X0] : (rich(X0) <=> (~funny(X0) | ~rich(X0))) [input p0]
3. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | ~old(X0))) [input p2]
4. ! [X0] : (quiet(X0) <=> (~brave(X0) | curious(X0))) [input ... | 0 |
Everyone who is either not wise or not brave is old and vice versa.
Everyone who is both not humble and not funny is either old or quiet.
If john is either not generous or not quiet then someone is either wise or patient.
Everyone who is generous is either old or generous and vice versa.
If someone is both old and not ... | John is not generous. | contradiction | (![X]:((~wise(X)<~>~brave(X))<=>old(X)))&
(![X]:((~humble(X)&~funny(X))=>(old(X)<~>quiet(X))))&
(((~generous(john)<~>~quiet(john)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:(generous(X)<=>(old(X)<~>generous(X))))&
((?[X]:((old(X)&~patient(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
((?[X]:(patient(X)))<=>((old(paul)|ki... | ~generous(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1989296297739246526586887
% SZS output start Proof for 1989296297739246526586887
10. ! [X0] : ((humble(X0) | ~generous(X0)) => generous(X0)) [input p9]
18. ~generous(john) [input hypothesis]
27. ! [X0] : (generous(X0) | (~humble(X0) & generous(X0))) [ennf transformation 10]
78. generous(X... | 0 |
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 then someone is either rich or quiet and vice versa.
Everyone who is no... | Alice is not curious. | contradiction | ((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(paul)<~>~quiet(paul)))<=>((happy(mary)|kind(mar... | ~curious(alice) | [
"p0",
"p3",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4924186068773320688660971
% SZS output start Proof for 4924186068773320688660971
1. creative(paul) <=> ? [X0] : ~curious(X0) [input p0]
4. (~wise(mary) & ~happy(mary)) <=> ? [X0] : (rich(X0) <~> quiet(X0)) [input p3]
10. ! [X0] : ((kind(X0) | humble(X0)) <=> (wise(X0) <~> ~humble(X0))) [i... | 0 |
If someone is either curious or rich then someone is not happy or not tall. Everyone who is not brave or patient is creative or wise and vice versa. Everyone who is both not calm and generous is not strong or strong and vice versa. If fred is either not happy or strong then paul is either not kind or not creative. Ever... | Lucy is not calm. | entailment | ((?[X]:((curious(X)<~>rich(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~brave(X)|patient(X))<=>(creative(X)|wise(X))))&
(![X]:((~calm(X)&generous(X))<=>(~strong(X)|strong(X))))&
(((~happy(fred)<~>strong(fred)))=>((~kind(paul)<~>~creative(paul))))&
(![X]:((quiet(X)<~>strong(X))=>(~brave(X)|~humble(X))))&
(![X]:(~funn... | ~calm(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3418484655139908945746857
% SZS output start Proof for 3418484655139908945746857
3. ! [X0] : ((generous(X0) & ~calm(X0)) <=> (strong(X0) | ~strong(X0))) [input p2]
23. calm(lucy) [input hypothesis]
47. ! [X0] : (((generous(X0) & ~calm(X0)) | (~strong(X0) & strong(X0))) & ((strong(X0) | ~s... | 0 |
If fred is not funny or not kind then someone is happy or not calm and vice versa. Everyone who is not generous is both generous and curious and vice versa. Everyone who is both kind and generous is either curious or not wise. Everyone who is both patient and not kind is wise and vice versa. If someone is brave or crea... | Mary is not humble. | neutral | (((~funny(fred)|~kind(fred)))<=>(?[X]:((happy(X)|~calm(X)))))&
(![X]:(~generous(X)<=>(generous(X)&curious(X))))&
(![X]:((kind(X)&generous(X))=>(curious(X)<~>~wise(X))))&
(![X]:((patient(X)&~kind(X))<=>wise(X)))&
((?[X]:((brave(X)|creative(X))))=>(?[X]:((~old(X)<~>calm(X)))))&
(((~brave(mary)<~>kind(mary)))=>(?[X]:(kind... | ~humble(mary) | [] | null | 0 |
Everyone who is both rich and not happy is both not funny and strong. If someone is both not funny and funny then someone is not wise or not humble. Everyone who is both creative and not rich is brave or kind. If someone is both patient and not old then someone is not calm or humble. Everyone who is not humble or not c... | Lucy is happy. | entailment | (![X]:((rich(X)&~happy(X))=>(~funny(X)&strong(X))))&
((?[X]:((~funny(X)&funny(X))))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((creative(X)&~rich(X))=>(brave(X)|kind(X))))&
((?[X]:((patient(X)&~old(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~humble(X)|~curious(X))=>(~patient(X)&~tall(X))))&
((~quiet(fred))<=>(strong(... | happy(lucy) | [
"p0",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2971926693264544023163639
% SZS output start Proof for 2971926693264544023163639
1. ! [X0] : ((~happy(X0) & rich(X0)) => (strong(X0) & ~funny(X0))) [input p0]
7. ! [X0] : ((~rich(X0) & ~calm(X0)) <=> calm(X0)) [input p6]
13. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~humble(X0) <~> happy(X0... | 0 |
If john is either not patient or wise then someone is either curious or not kind. If someone is both creative and not funny then mary is not old and vice versa. Everyone who is not old is kind. Everyone who is not quiet is both wise and not happy and vice versa. Everyone who is not calm or not old is both quiet and not... | Mary is not funny. | contradiction | (((~patient(john)<~>wise(john)))=>(?[X]:((curious(X)<~>~kind(X)))))&
((?[X]:((creative(X)&~funny(X))))<=>(~old(mary)))&
(![X]:(~old(X)=>kind(X)))&
(![X]:(~quiet(X)<=>(wise(X)&~happy(X))))&
(![X]:((~calm(X)|~old(X))<=>(quiet(X)&~curious(X))))&
((?[X]:((humble(X)&calm(X))))<=>((kind(mary)|~patient(mary))))&
(![X]:((wise(... | ~funny(mary) | [
"p6",
"p7",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7478834919022049409839278
% SZS output start Proof for 7478834919022049409839278
7. ! [X0] : ((strong(X0) | wise(X0)) => (humble(X0) & ~strong(X0))) [input p6]
8. ! [X0] : ((~calm(X0) & ~humble(X0)) <=> (rich(X0) | patient(X0))) [input p7]
9. ! [X0] : ((generous(X0) & ~humble(X0)) <=> ~pa... | 0 |
Everyone who is both not humble and wise is not generous or generous and vice versa. If someone is not calm then someone is both not brave and not happy and vice versa. If someone is not humble then someone is not funny or strong and vice versa. Everyone who is not creative or strong is either not rich or not old. If s... | Alice is not happy. | neutral | (![X]:((~humble(X)&wise(X))<=>(~generous(X)|generous(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~brave(X)&~happy(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:((~creative(X)|strong(X))=>(~rich(X)<~>~old(X))))&
((?[X]:((old(X)&~funny(X))))=>((creative(paul)&happy(paul))))&
(![X]:((kind(X)|quiet(X))=>~ta... | ~happy(alice) | [] | null | 0 |
Everyone who is either not happy or strong is both generous and not brave and vice versa.
If susan is either strong or not creative then someone is not patient or not happy.
Everyone who is not old or not brave is either not generous or calm and vice versa.
Everyone who is not tall is both not patient and not quiet.
Ev... | Paul is not generous. | contradiction | (![X]:((~happy(X)<~>strong(X))<=>(generous(X)&~brave(X))))&
(((strong(susan)<~>~creative(susan)))=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:((~old(X)|~brave(X))<=>(~generous(X)<~>calm(X))))&
(![X]:(~tall(X)=>(~patient(X)&~quiet(X))))&
(![X]:((happy(X)<~>~calm(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((~kind(X)&~strong(X))<... | ~generous(paul) | [
"p0",
"p3",
"p4",
"p5",
"p12",
"p14",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3440386983033062891973655
% SZS output start Proof for 3440386983033062891973655
1. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (~brave(X0) & generous(X0))) [input p0]
4. ! [X0] : (~tall(X0) => (~quiet(X0) & ~patient(X0))) [input p3]
5. ! [X0] : ((happy(X0) <~> ~calm(X0)) => (~quiet(X0) <~>... | 0 |
If lucy is generous or old then paul is wise. Everyone who is either not old or strong is either strong or not brave and vice versa. Everyone who is not funny is both generous and not tall and vice versa. If someone is either rich or not kind then susan is kind or quiet and vice versa. If someone is both not rich and o... | Paul is not strong. | neutral | (((generous(lucy)|old(lucy)))=>(wise(paul)))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~brave(X))))&
(![X]:(~funny(X)<=>(generous(X)&~tall(X))))&
((?[X]:((rich(X)<~>~kind(X))))<=>((kind(susan)|quiet(susan))))&
((?[X]:((~rich(X)&old(X))))<=>((~curious(mary)|~creative(mary))))&
(![X]:((~rich(X)<~>happy(X))<=>(brave(X)... | ~strong(paul) | [] | null | 0 |
If john is not happy then john is either not creative or old.
If paul is not creative then someone is brave or generous.
Everyone who is either not tall or not patient is both wise and not kind and vice versa.
Everyone who is both not funny and not humble is either tall or not happy.
Everyone who is either curious or n... | Susan is not creative. | neutral | ((~happy(john))=>((~creative(john)<~>old(john))))&
((~creative(paul))=>(?[X]:((brave(X)|generous(X)))))&
(![X]:((~tall(X)<~>~patient(X))<=>(wise(X)&~kind(X))))&
(![X]:((~funny(X)&~humble(X))=>(tall(X)<~>~happy(X))))&
(![X]:((curious(X)<~>~wise(X))=>(~rich(X)&creative(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)|fun... | ~creative(susan) | [] | null | 0 |
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