premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is quiet is generous or not old.
If someone is both not generous and not wise then someone is old or not curious.
If someone is either funny or not old then john is both humble and not wise.
Everyone who is brave is both not tall and calm and vice versa.
Everyone who is not quiet is not patient and vice ve... | Alice is not wise. | contradiction | (![X]:(quiet(X)=>(generous(X)|~old(X))))&
((?[X]:((~generous(X)&~wise(X))))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:((funny(X)<~>~old(X))))=>((humble(john)&~wise(john))))&
(![X]:(brave(X)<=>(~tall(X)&calm(X))))&
(![X]:(~quiet(X)<=>~patient(X)))&
(![X]:((~generous(X)<~>~kind(X))=>(strong(X)<~>~rich(X))))&
((?[X]:(~quiet... | ~wise(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8744204869070973132712990
% SZS output start Proof for 8744204869070973132712990
16. ! [X0] : ((wise(X0) <~> ~happy(X0)) <=> happy(X0)) [input p15]
25. ~wise(alice) [input hypothesis]
67. ! [X0] : ((((happy(X0) | ~wise(X0)) & (~happy(X0) | wise(X0))) | ~happy(X0)) & (happy(X0) | ((wise(X0... | 0 |
Everyone who is happy or old is not wise or not tall and vice versa.
Everyone who is not tall is happy or not humble.
Everyone who is either not tall or humble is either strong or not quiet.
Everyone who is both not brave and not generous is strong or rich.
Everyone who is not old is both calm and rich.
Everyone who is... | Alice is strong. | entailment | (![X]:((happy(X)|old(X))<=>(~wise(X)|~tall(X))))&
(![X]:(~tall(X)=>(happy(X)|~humble(X))))&
(![X]:((~tall(X)<~>humble(X))=>(strong(X)<~>~quiet(X))))&
(![X]:((~brave(X)&~generous(X))=>(strong(X)|rich(X))))&
(![X]:(~old(X)=>(calm(X)&rich(X))))&
(![X]:(~tall(X)<=>(creative(X)<~>~humble(X))))&
(((~calm(paul)|~quiet(paul)))... | strong(alice) | [
"p6",
"p9",
"p10",
"p14",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3113517349377285603245908
% SZS output start Proof for 3113517349377285603245908
7. (~quiet(paul) | ~calm(paul)) => (~funny(alice) <~> strong(alice)) [input p6]
10. ? [X0] : (tall(X0) <~> calm(X0)) <=> (~calm(paul) & generous(paul)) [input p9]
11. ! [X0] : ((~humble(X0) | brave(X0)) <=> (... | 0 |
Everyone who is funny is both curious and calm and vice versa.
If fred is both not rich and not quiet then john is either generous or calm and vice versa.
Everyone who is either strong or old is both not quiet and not old and vice versa.
Everyone who is either not quiet or strong is either not creative or not funny and... | Alice is tall. | neutral | (![X]:(funny(X)<=>(curious(X)&calm(X))))&
(((~rich(fred)&~quiet(fred)))<=>((generous(john)<~>calm(john))))&
(![X]:((strong(X)<~>old(X))<=>(~quiet(X)&~old(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>(~creative(X)<~>~funny(X))))&
(((brave(mary)|~brave(mary)))=>(brave(lucy)))&
(((~tall(alice)&happy(alice)))=>(~kind(lucy)))&
(... | tall(alice) | [] | null | 0 |
Everyone who is both not strong and not patient is creative and vice versa.
Everyone who is both kind and not kind is both old and not wise.
If someone is either quiet or not patient then someone is both generous and not brave and vice versa.
If someone is calm or curious then paul is kind or rich.
If someone is not qu... | Mary is patient. | entailment | (![X]:((~strong(X)&~patient(X))<=>creative(X)))&
(![X]:((kind(X)&~kind(X))=>(old(X)&~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((calm(X)|curious(X))))=>((kind(paul)|rich(paul))))&
((?[X]:((~quiet(X)|wise(X))))=>(?[X]:((strong(X)&brave(X)))))&
(((happy(mary)&curious(mary)... | patient(mary) | [
"p2",
"p6",
"p9",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3362282052360617008194828
% SZS output start Proof for 3362282052360617008194828
3. ? [X0] : (quiet(X0) <~> ~patient(X0)) <=> ? [X0] : (~brave(X0) & generous(X0)) [input p2]
7. ! [X0] : ((~old(X0) | ~patient(X0)) <=> (generous(X0) <~> rich(X0))) [input p6]
10. ! [X0] : ((~old(X0) | old(X0... | 0 |
Everyone who is both not generous and not rich is not calm or wise. If paul is wise or strong then someone is not calm or funny and vice versa. Everyone who is both brave and rich is not rich. If someone is both creative and not brave then susan is either not quiet or patient. Everyone who is both funny and patient is ... | Paul is rich. | entailment | (![X]:((~generous(X)&~rich(X))=>(~calm(X)|wise(X))))&
(((wise(paul)|strong(paul)))<=>(?[X]:((~calm(X)|funny(X)))))&
(![X]:((brave(X)&rich(X))=>~rich(X)))&
((?[X]:((creative(X)&~brave(X))))=>((~quiet(susan)<~>patient(susan))))&
(![X]:((funny(X)&patient(X))<=>(happy(X)<~>~brave(X))))&
(((creative(paul)<~>~brave(paul)))=>... | rich(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4416847319508473264791796
% SZS output start Proof for 4416847319508473264791796
19. rich(paul) [input p18]
25. ~rich(paul) [input hypothesis]
142. rich(paul) [cnf transformation 19]
147. ~rich(paul) [cnf transformation 25]
367. $false [subsumption resolution 147,142]
% SZS output end Pro... | 0 |
Everyone who is both not tall and old is brave or happy. Everyone who is wise is either not generous or generous and vice versa. If fred is not funny then susan is either tall or quiet and vice versa. If someone is old or not generous then lucy is not rich or quiet. If someone is both not curious and not quiet then sus... | Alice is quiet. | neutral | (![X]:((~tall(X)&old(X))=>(brave(X)|happy(X))))&
(![X]:(wise(X)<=>(~generous(X)<~>generous(X))))&
((~funny(fred))<=>((tall(susan)<~>quiet(susan))))&
((?[X]:((old(X)|~generous(X))))=>((~rich(lucy)|quiet(lucy))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((humble(susan)<~>~creative(susan))))&
(![X]:((calm(X)<~>~generous(X))=>... | quiet(alice) | [] | null | 0 |
If john is generous or not kind then lucy is not quiet and vice versa.
Everyone who is either not quiet or not brave is not curious and vice versa.
If someone is not wise or not patient then someone is both not funny and not kind and vice versa.
If someone is either not curious or old then someone is both quiet and not... | Lucy is old. | contradiction | (((generous(john)|~kind(john)))<=>(~quiet(lucy)))&
(![X]:((~quiet(X)<~>~brave(X))<=>~curious(X)))&
((?[X]:((~wise(X)|~patient(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
((?[X]:((~curious(X)<~>old(X))))=>(?[X]:((quiet(X)&~creative(X)))))&
(![X]:((~creative(X)<~>old(X))<=>~creative(X)))&
((?[X]:((humble(X)<~>old(X))))=>((~t... | old(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3984838048607448102354807
% SZS output start Proof for 3984838048607448102354807
5. ! [X0] : ((~creative(X0) <~> old(X0)) <=> ~creative(X0)) [input p4]
23. old(lucy) [input hypothesis]
51. ! [X0] : ((((~old(X0) | creative(X0)) & (old(X0) | ~creative(X0))) | creative(X0)) & (~creative(X0) ... | 0 |
Everyone who is not wise is either calm or funny and vice versa.
If mary is not kind then someone is both calm and old.
If someone is either not calm or not tall then someone is either tall or not rich.
Everyone who is old or not calm is either not brave or creative and vice versa.
Everyone who is either not wise or st... | Alice is not curious. | neutral | (![X]:(~wise(X)<=>(calm(X)<~>funny(X))))&
((~kind(mary))=>(?[X]:((calm(X)&old(X)))))&
((?[X]:((~calm(X)<~>~tall(X))))=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((old(X)|~calm(X))<=>(~brave(X)<~>creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(kind(X)|~brave(X))))&
(![X]:((~patient(X)&rich(X))=>(old(X)|~strong(X))))&
((?[X]... | ~curious(alice) | [] | null | 0 |
Everyone who is not curious or not generous is either not curious or not brave.
Everyone who is not generous or curious is not curious or funny.
If someone is either curious or rich then someone is either not brave or not calm and vice versa.
Everyone who is not quiet or rich is either old or not humble.
Everyone who i... | John is generous. | neutral | (![X]:((~curious(X)|~generous(X))=>(~curious(X)<~>~brave(X))))&
(![X]:((~generous(X)|curious(X))=>(~curious(X)|funny(X))))&
((?[X]:((curious(X)<~>rich(X))))<=>(?[X]:((~brave(X)<~>~calm(X)))))&
(![X]:((~quiet(X)|rich(X))=>(old(X)<~>~humble(X))))&
(![X]:(funny(X)=>~strong(X)))&
(![X]:((strong(X)<~>~happy(X))=>(patient(X)... | generous(john) | [] | null | 0 |
If alice is not curious then someone is either not generous or curious.
Everyone who is both not generous and not old is both not calm and not quiet.
Everyone who is creative is either not kind or kind and vice versa.
Everyone who is quiet is wise.
Everyone who is both creative and brave is both not tall and not happy.... | Alice is creative. | entailment | ((~curious(alice))=>(?[X]:((~generous(X)<~>curious(X)))))&
(![X]:((~generous(X)&~old(X))=>(~calm(X)&~quiet(X))))&
(![X]:(creative(X)<=>(~kind(X)<~>kind(X))))&
(![X]:(quiet(X)=>wise(X)))&
(![X]:((creative(X)&brave(X))=>(~tall(X)&~happy(X))))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:(creative(X)))<=>((creative(susan)<~>happy(... | creative(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2004106441071914383814656
% SZS output start Proof for 2004106441071914383814656
3. ! [X0] : (creative(X0) <=> (~kind(X0) <~> kind(X0))) [input p2]
23. ~creative(alice) [input hypothesis]
43. ! [X0] : ((creative(X0) | ((~kind(X0) | ~kind(X0)) & (kind(X0) | kind(X0)))) & (((~kind(X0) | kin... | 0 |
If someone is not creative then someone is brave.
If someone is either not creative or not kind then fred is both not funny and calm.
Everyone who is rich is either happy or generous.
Everyone who is both not tall and creative is rich.
If someone is old or not calm then someone is calm.
If paul is generous then alice i... | Paul is not calm. | contradiction | ((?[X]:(~creative(X)))=>(?[X]:(brave(X))))&
((?[X]:((~creative(X)<~>~kind(X))))=>((~funny(fred)&calm(fred))))&
(![X]:(rich(X)=>(happy(X)<~>generous(X))))&
(![X]:((~tall(X)&creative(X))=>rich(X)))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:(calm(X))))&
((generous(paul))=>((~tall(alice)|humble(alice))))&
((?[X]:(~calm(X)))=>(?[... | ~calm(paul) | [
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5212796678906344981133305
% SZS output start Proof for 5212796678906344981133305
7. ? [X0] : ~calm(X0) => ? [X0] : ~humble(X0) [input p6]
9. ! [X0] : (~patient(X0) <=> ~creative(X0)) [input p8]
14. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p13]
15. ! [X0] : (~humble(X0) => (patient(X0... | 0 |
Everyone who is old or creative is both not happy and old. If someone is not creative or not brave then susan is not generous. If someone is either not rich or creative then john is not funny. Everyone who is calm is funny and vice versa. If someone is both rich and not patient then someone is not happy or quiet and vi... | Paul is brave. | contradiction | (![X]:((old(X)|creative(X))=>(~happy(X)&old(X))))&
((?[X]:((~creative(X)|~brave(X))))=>(~generous(susan)))&
((?[X]:((~rich(X)<~>creative(X))))=>(~funny(john)))&
(![X]:(calm(X)<=>funny(X)))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((~curious(X)&curious(X))=>(kind(X)<~>~kind(X))))&
(![X]:(... | brave(paul) | [
"p6",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5957990839974432417393657
% SZS output start Proof for 5957990839974432417393657
7. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (~funny(X0) & funny(X0))) [input p6]
11. ! [X0] : ((~funny(X0) | kind(X0)) <=> (~happy(X0) & ~kind(X0))) [input p10]
12. ! [X0] : ((curious(X0) & brave(X0)) => kind(X... | 0 |
Everyone who is brave is kind or not old. If someone is either not curious or not happy then mary is strong. If fred is both patient and not humble then someone is either not wise or kind and vice versa. Everyone who is curious or wise is not quiet. If someone is both not funny and not rich then someone is both not kin... | Lucy is not kind. | entailment | (![X]:(brave(X)=>(kind(X)|~old(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>(strong(mary)))&
(((patient(fred)&~humble(fred)))<=>(?[X]:((~wise(X)<~>kind(X)))))&
(![X]:((curious(X)|wise(X))=>~quiet(X)))&
((?[X]:((~funny(X)&~rich(X))))<=>(?[X]:((~kind(X)&old(X)))))&
(![X]:((~funny(X)&~tall(X))<=>(rich(X)|funny(X))))&
(((~g... | ~kind(lucy) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2910728233796164633942581
% SZS output start Proof for 2910728233796164633942581
6. ! [X0] : ((~tall(X0) & ~funny(X0)) <=> (funny(X0) | rich(X0))) [input p5]
15. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (~wise(X0) & ~funny(X0))) [input p14]
24. kind(lucy) [input hypothesis]
53. ! [X0] : (((... | 0 |
Everyone who is not calm or not generous is not curious or wise.
Everyone who is either not humble or not generous is either humble or old and vice versa.
Everyone who is patient is brave.
If mary is both curious and not rich then someone is calm.
If susan is both not generous and not humble then susan is both not humb... | Mary is not humble. | contradiction | (![X]:((~calm(X)|~generous(X))=>(~curious(X)|wise(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(humble(X)<~>old(X))))&
(![X]:(patient(X)=>brave(X)))&
(((curious(mary)&~rich(mary)))=>(?[X]:(calm(X))))&
(((~generous(susan)&~humble(susan)))=>((~humble(susan)&generous(susan))))&
(((creative(lucy)|~curious(lucy)))=>(curious(... | ~humble(mary) | [
"p1",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8536489464892577533687352
% SZS output start Proof for 8536489464892577533687352
2. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (humble(X0) <~> old(X0))) [input p1]
7. ! [X0] : (humble(X0) <=> (kind(X0) | curious(X0))) [input p6]
12. ! [X0] : ((~patient(X0) & ~old(X0)) <=> (tall(X0) | g... | 0 |
If susan is not calm or not wise then fred is both not funny and patient. Everyone who is either curious or not funny is brave and vice versa. Everyone who is both not humble and rich is not generous or patient. Everyone who is generous or curious is not old and vice versa. If fred is either not quiet or not tall then ... | Mary is old. | contradiction | (((~calm(susan)|~wise(susan)))=>((~funny(fred)&patient(fred))))&
(![X]:((curious(X)<~>~funny(X))<=>brave(X)))&
(![X]:((~humble(X)&rich(X))=>(~generous(X)|patient(X))))&
(![X]:((generous(X)|curious(X))<=>~old(X)))&
(((~quiet(fred)<~>~tall(fred)))<=>(?[X]:((creative(X)&quiet(X)))))&
(![X]:(~rich(X)=>humble(X)))&
(![X]:((... | old(mary) | [
"p3",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2158423336534587242334580
% SZS output start Proof for 2158423336534587242334580
4. ! [X0] : ((curious(X0) | generous(X0)) <=> ~old(X0)) [input p3]
7. ! [X0] : ((~humble(X0) <~> brave(X0)) => (brave(X0) & ~quiet(X0))) [input p6]
9. ! [X0] : ((~brave(X0) <~> old(X0)) <=> (~creative(X0) & q... | 0 |
Everyone who is not kind or not generous is both not generous and humble.
Everyone who is either rich or not generous is not funny and vice versa.
Everyone who is calm or tall is not creative and vice versa.
Everyone who is quiet or wise is both not brave and old.
If someone is not wise or curious then someone is not h... | Alice is happy. | contradiction | (![X]:((~kind(X)|~generous(X))=>(~generous(X)&humble(X))))&
(![X]:((rich(X)<~>~generous(X))<=>~funny(X)))&
(![X]:((calm(X)|tall(X))<=>~creative(X)))&
(![X]:((quiet(X)|wise(X))=>(~brave(X)&old(X))))&
((?[X]:((~wise(X)|curious(X))))<=>(?[X]:((~humble(X)|~tall(X)))))&
(![X]:((humble(X)<~>curious(X))=>~curious(X)))&
(((hap... | happy(alice) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5922049981581467587353035
% SZS output start Proof for 5922049981581467587353035
1. ! [X0] : ((~generous(X0) | ~kind(X0)) => (humble(X0) & ~generous(X0))) [input p0]
14. ? [X0] : (~humble(X0) & ~generous(X0)) <=> ? [X0] : (~quiet(X0) | happy(X0)) [input p13]
25. happy(alice) [input hypoth... | 0 |
If alice is not happy or not generous then lucy is either not humble or old and vice versa.
Everyone who is both not strong and not quiet is both tall and not strong and vice versa.
Everyone who is either not funny or not kind is either brave or patient and vice versa.
If someone is both not strong and not patient then... | Paul is humble. | entailment | (((~happy(alice)|~generous(alice)))<=>((~humble(lucy)<~>old(lucy))))&
(![X]:((~strong(X)&~quiet(X))<=>(tall(X)&~strong(X))))&
(![X]:((~funny(X)<~>~kind(X))<=>(brave(X)<~>patient(X))))&
((?[X]:((~strong(X)&~patient(X))))<=>(?[X]:((brave(X)&~curious(X)))))&
(![X]:((generous(X)<~>~happy(X))<=>rich(X)))&
(![X]:((~calm(X)&t... | humble(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8610100102483986634754952
% SZS output start Proof for 8610100102483986634754952
19. humble(paul) & ~funny(paul) [input p18]
25. ~humble(paul) [input hypothesis]
138. humble(paul) [cnf transformation 19]
146. ~humble(paul) [cnf transformation 25]
312. $false [subsumption resolution 146,13... | 0 |
If someone is either brave or old then paul is both old and not patient.
Everyone who is quiet is both not calm and old and vice versa.
Everyone who is both kind and not happy is brave and vice versa.
Everyone who is either happy or not humble is not funny or rich and vice versa.
Everyone who is not patient is happy an... | Alice is not patient. | entailment | ((?[X]:((brave(X)<~>old(X))))=>((old(paul)&~patient(paul))))&
(![X]:(quiet(X)<=>(~calm(X)&old(X))))&
(![X]:((kind(X)&~happy(X))<=>brave(X)))&
(![X]:((happy(X)<~>~humble(X))<=>(~funny(X)|rich(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((old(X)|wise(X))<=>tall(X)))&
(![X]:((~kind(X)|~generous(X))=>brave(X)))&
(![X]:((... | ~patient(alice) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p8",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2222949691500125070203020
% SZS output start Proof for 2222949691500125070203020
1. ? [X0] : (brave(X0) <~> old(X0)) => (~patient(paul) & old(paul)) [input p0]
3. ! [X0] : ((~happy(X0) & kind(X0)) <=> brave(X0)) [input p2]
5. ! [X0] : (~patient(X0) <=> happy(X0)) [input p4]
6. ! [X0] : ((... | 0 |
If someone is either brave or patient then susan is not patient and vice versa.
Everyone who is either not strong or not patient is both rich and curious and vice versa.
Everyone who is both strong and not kind is funny and vice versa.
Everyone who is not curious is either not brave or not rich and vice versa.
Everyone... | Susan is curious. | neutral | ((?[X]:((brave(X)<~>patient(X))))<=>(~patient(susan)))&
(![X]:((~strong(X)<~>~patient(X))<=>(rich(X)&curious(X))))&
(![X]:((strong(X)&~kind(X))<=>funny(X)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((humble(X)&brave(X))=>(generous(X)&kind(X))))&
(![X]:((~funny(X)&generous(X))=>(wise(X)<~>~curious(X))))&
((... | curious(susan) | [] | null | 0 |
Everyone who is not old is either calm or old and vice versa. Everyone who is curious is not brave or curious and vice versa. Everyone who is not curious is either brave or patient. Everyone who is either funny or not tall is curious or patient. If paul is not brave or brave then someone is not funny or not humble. If ... | Fred is not old. | neutral | (![X]:(~old(X)<=>(calm(X)<~>old(X))))&
(![X]:(curious(X)<=>(~brave(X)|curious(X))))&
(![X]:(~curious(X)=>(brave(X)<~>patient(X))))&
(![X]:((funny(X)<~>~tall(X))=>(curious(X)|patient(X))))&
(((~brave(paul)|brave(paul)))=>(?[X]:((~funny(X)|~humble(X)))))&
((?[X]:(~patient(X)))=>((~old(susan)<~>~kind(susan))))&
((~tall(fr... | ~old(fred) | [] | null | 0 |
If someone is not calm or tall then someone is both not curious and old and vice versa. Everyone who is either tall or brave is both not creative and not curious and vice versa. Everyone who is both not curious and patient is patient or not humble. Everyone who is both not generous and old is generous or brave and vice... | Fred is not happy. | neutral | ((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)|brave(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~patient(X)&tall(X))<=>~creative(X)))&
(((... | ~happy(fred) | [] | null | 0 |
Everyone who is either happy or not happy is both happy and strong.
If alice is not generous then someone is not patient.
Everyone who is not generous is old or not humble and vice versa.
If someone is both quiet and not calm then someone is both generous and happy.
Everyone who is brave is either curious or not funny ... | Paul is humble. | contradiction | (![X]:((happy(X)<~>~happy(X))=>(happy(X)&strong(X))))&
((~generous(alice))=>(?[X]:(~patient(X))))&
(![X]:(~generous(X)<=>(old(X)|~humble(X))))&
((?[X]:((quiet(X)&~calm(X))))=>(?[X]:((generous(X)&happy(X)))))&
(![X]:(brave(X)<=>(curious(X)<~>~funny(X))))&
((tall(lucy))=>(?[X]:((~old(X)|~generous(X)))))&
(((tall(mary)&ri... | humble(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1067893021096311565613175
% SZS output start Proof for 1067893021096311565613175
15. ! [X0] : (humble(X0) => (~humble(X0) & kind(X0))) [input p14]
23. humble(paul) [input hypothesis]
35. ! [X0] : ((~humble(X0) & kind(X0)) | ~humble(X0)) [ennf transformation 15]
130. ~humble(X0) | ~humble(... | 0 |
Everyone who is not funny or not happy is either old or happy. If susan is both not patient and not old then john is either quiet or generous and vice versa. Everyone who is not old or rich is generous or patient. If someone is either funny or not rich then fred is both not quiet and calm. Everyone who is either not cr... | Susan is kind. | entailment | (![X]:((~funny(X)|~happy(X))=>(old(X)<~>happy(X))))&
(((~patient(susan)&~old(susan)))<=>((quiet(john)<~>generous(john))))&
(![X]:((~old(X)|rich(X))=>(generous(X)|patient(X))))&
((?[X]:((funny(X)<~>~rich(X))))=>((~quiet(fred)&calm(fred))))&
(![X]:((~creative(X)<~>~calm(X))<=>kind(X)))&
((?[X]:(~curious(X)))=>(?[X]:((fun... | kind(susan) | [
"p7",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1711695856440172603161010
% SZS output start Proof for 1711695856440172603161010
8. ! [X0] : ((rich(X0) | ~rich(X0)) => ~strong(X0)) [input p7]
11. ! [X0] : ((humble(X0) | funny(X0)) <=> (kind(X0) | ~calm(X0))) [input p10]
12. ! [X0] : ((generous(X0) & ~generous(X0)) <=> (~strong(X0) & ~c... | 0 |
Everyone who is not generous is either strong or not generous and vice versa.
Everyone who is both not rich and not generous is either not old or rich and vice versa.
If someone is not generous then lucy is old or not kind.
Everyone who is tall is either not quiet or not curious.
If lucy is either tall or not humble th... | Susan is not generous. | neutral | (![X]:(~generous(X)<=>(strong(X)<~>~generous(X))))&
(![X]:((~rich(X)&~generous(X))<=>(~old(X)<~>rich(X))))&
((?[X]:(~generous(X)))=>((old(lucy)|~kind(lucy))))&
(![X]:(tall(X)=>(~quiet(X)<~>~curious(X))))&
(((tall(lucy)<~>~humble(lucy)))<=>(?[X]:((~brave(X)&~wise(X)))))&
(![X]:((~old(X)<~>generous(X))=>(kind(X)<~>strong... | ~generous(susan) | [] | null | 0 |
Everyone who is old is creative or not strong. If someone is not strong or not patient then someone is not patient or calm and vice versa. Everyone who is either not curious or not old is old. Everyone who is curious or brave is both quiet and calm and vice versa. If someone is generous or tall then someone is not wise... | Alice is happy. | entailment | (![X]:(old(X)=>(creative(X)|~strong(X))))&
((?[X]:((~strong(X)|~patient(X))))<=>(?[X]:((~patient(X)|calm(X)))))&
(![X]:((~curious(X)<~>~old(X))=>old(X)))&
(![X]:((curious(X)|brave(X))<=>(quiet(X)&calm(X))))&
((?[X]:((generous(X)|tall(X))))=>(?[X]:(~wise(X))))&
(![X]:(~generous(X)=>(~brave(X)&~generous(X))))&
(![X]:((~w... | happy(alice) | [
"p6",
"p7",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6592896854161519550511325
% SZS output start Proof for 6592896854161519550511325
7. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> (~funny(X0) & ~wise(X0))) [input p6]
8. ! [X0] : ((~wise(X0) & tall(X0)) <=> (tall(X0) | ~generous(X0))) [input p7]
9. ! [X0] : ((patient(X0) <~> happy(X0)) => (h... | 0 |
If someone is brave then someone is either not tall or not humble and vice versa. Everyone who is not strong or creative is old. Everyone who is tall or wise is rich or not happy and vice versa. If mary is humble then alice is tall. If alice is either not curious or wise then mary is not old and vice versa. Everyone wh... | Alice is curious. | neutral | ((?[X]:(brave(X)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~strong(X)|creative(X))=>old(X)))&
(![X]:((tall(X)|wise(X))<=>(rich(X)|~happy(X))))&
((humble(mary))=>(tall(alice)))&
(((~curious(alice)<~>wise(alice)))<=>(~old(mary)))&
(![X]:((generous(X)|~generous(X))<=>(~calm(X)|humble(X))))&
(![X]:(patient(X)=>(happy(... | curious(alice) | [] | null | 0 |
If mary is either strong or rich then paul is both wise and not old.
Everyone who is both curious and not humble is kind or not brave and vice versa.
Everyone who is both not strong and not old is both not rich and not tall.
Everyone who is both not brave and kind is either not creative or curious and vice versa.
Every... | Susan is not kind. | entailment | (((strong(mary)<~>rich(mary)))=>((wise(paul)&~old(paul))))&
(![X]:((curious(X)&~humble(X))<=>(kind(X)|~brave(X))))&
(![X]:((~strong(X)&~old(X))=>(~rich(X)&~tall(X))))&
(![X]:((~brave(X)&kind(X))<=>(~creative(X)<~>curious(X))))&
(![X]:((funny(X)|curious(X))=>(~old(X)|~wise(X))))&
((?[X]:(wise(X)))=>((brave(lucy)<~>~stro... | ~kind(susan) | [
"p1",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 503009629557264419224563
% SZS output start Proof for 503009629557264419224563
2. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~brave(X0) | kind(X0))) [input p1]
10. ! [X0] : ((~happy(X0) | happy(X0)) <=> (curious(X0) <~> creative(X0))) [input p9]
13. ! [X0] : ((~creative(X0) <~> happy(X0))... | 0 |
Everyone who is either not patient or not generous is not strong or not funny and vice versa.
If someone is generous then paul is both not generous and not kind and vice versa.
If someone is either not tall or happy then fred is not patient and vice versa.
Everyone who is wise or kind is brave.
Everyone who is brave is... | Fred is calm. | contradiction | (![X]:((~patient(X)<~>~generous(X))<=>(~strong(X)|~funny(X))))&
((?[X]:(generous(X)))<=>((~generous(paul)&~kind(paul))))&
((?[X]:((~tall(X)<~>happy(X))))<=>(~patient(fred)))&
(![X]:((wise(X)|kind(X))=>brave(X)))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X)))... | calm(fred) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 79636812022603452247011
% SZS output start Proof for 79636812022603452247011
6. ! [X0] : ((~calm(X0) <~> ~curious(X0)) <=> (~strong(X0) | generous(X0))) [input p5]
9. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p8]
12. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0] : c... | 0 |
If susan is not kind or not rich then fred is wise or old and vice versa.
Everyone who is either not creative or old is either not happy or not wise and vice versa.
Everyone who is either rich or strong is both humble and not strong.
Everyone who is not kind or generous is curious or not calm.
If john is not wise then ... | Mary is not strong. | entailment | (((~kind(susan)|~rich(susan)))<=>((wise(fred)|old(fred))))&
(![X]:((~creative(X)<~>old(X))<=>(~happy(X)<~>~wise(X))))&
(![X]:((rich(X)<~>strong(X))=>(humble(X)&~strong(X))))&
(![X]:((~kind(X)|generous(X))=>(curious(X)|~calm(X))))&
((~wise(john))=>((rich(paul)&patient(paul))))&
(![X]:(rich(X)=>(~rich(X)<~>generous(X))))... | ~strong(mary) | [
"p2",
"p3",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1180115064374946058119959
% SZS output start Proof for 1180115064374946058119959
3. ! [X0] : ((rich(X0) <~> strong(X0)) => (~strong(X0) & humble(X0))) [input p2]
4. ! [X0] : ((generous(X0) | ~kind(X0)) => (~calm(X0) | curious(X0))) [input p3]
6. ! [X0] : (rich(X0) => (~rich(X0) <~> genero... | 0 |
Everyone who is both strong and not tall is brave.
Everyone who is either generous or curious is not curious and vice versa.
Everyone who is both not calm and not generous is not rich or wise and vice versa.
Everyone who is curious is either old or not calm.
Everyone who is generous is not funny and vice versa.
If mary... | Paul is generous. | entailment | (![X]:((strong(X)&~tall(X))=>brave(X)))&
(![X]:((generous(X)<~>curious(X))<=>~curious(X)))&
(![X]:((~calm(X)&~generous(X))<=>(~rich(X)|wise(X))))&
(![X]:(curious(X)=>(old(X)<~>~calm(X))))&
(![X]:(generous(X)<=>~funny(X)))&
(((quiet(mary)<~>happy(mary)))<=>((~brave(mary)|generous(mary))))&
((happy(lucy))<=>(?[X]:(wise(X... | generous(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 890346791942311660123655
% SZS output start Proof for 890346791942311660123655
2. ! [X0] : ((generous(X0) <~> curious(X0)) <=> ~curious(X0)) [input p1]
25. ~generous(paul) [input hypothesis]
37. ! [X0] : ((((~curious(X0) | ~generous(X0)) & (curious(X0) | generous(X0))) | curious(X0)) & (~... | 0 |
If mary is funny then someone is both not generous and not humble and vice versa.
Everyone who is not happy or quiet is either not creative or creative and vice versa.
If someone is either patient or not humble then someone is either tall or creative.
Everyone who is both strong and not wise is generous or not creative... | Paul is not happy. | contradiction | ((funny(mary))<=>(?[X]:((~generous(X)&~humble(X)))))&
(![X]:((~happy(X)|quiet(X))<=>(~creative(X)<~>creative(X))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((strong(X)&~wise(X))=>(generous(X)|~creative(X))))&
((?[X]:((wise(X)&tall(X))))<=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:(... | ~happy(paul) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7331148486674402139765682
% SZS output start Proof for 7331148486674402139765682
2. ! [X0] : ((quiet(X0) | ~happy(X0)) <=> (~creative(X0) <~> creative(X0))) [input p1]
7. ! [X0] : ((generous(X0) <~> ~generous(X0)) => ~old(X0)) [input p6]
8. (~kind(fred) | ~happy(fred)) <=> old(alice) [inp... | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | John is tall. | neutral | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | tall(john) | [] | null | 0 |
Everyone who is not strong or happy is either calm or not strong and vice versa.
Everyone who is generous is either quiet or not generous and vice versa.
Everyone who is both creative and not tall is either not funny or not strong.
Everyone who is either wise or patient is patient and vice versa.
Everyone who is happy ... | Lucy is not strong. | contradiction | (![X]:((~strong(X)|happy(X))<=>(calm(X)<~>~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((wise(susan)&rich(susan)))<=>((tall(lucy)<~>~brave(... | ~strong(lucy) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8095486709487182042167248
% SZS output start Proof for 8095486709487182042167248
2. ! [X0] : (generous(X0) <=> (quiet(X0) <~> ~generous(X0))) [input p1]
8. ! [X0] : ((strong(X0) <~> ~kind(X0)) => (strong(X0) & ~curious(X0))) [input p7]
12. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p11]
23... | 0 |
Everyone who is not generous is not calm or old.
If fred is both rich and funny then someone is wise or curious and vice versa.
Everyone who is not generous or curious is happy and vice versa.
If someone is both not old and strong then alice is either quiet or generous and vice versa.
If someone is wise then john is st... | Alice is kind. | neutral | (![X]:(~generous(X)=>(~calm(X)|old(X))))&
(((rich(fred)&funny(fred)))<=>(?[X]:((wise(X)|curious(X)))))&
(![X]:((~generous(X)|curious(X))<=>happy(X)))&
((?[X]:((~old(X)&strong(X))))<=>((quiet(alice)<~>generous(alice))))&
((?[X]:(wise(X)))=>((strong(john)|wise(john))))&
(![X]:(humble(X)<=>(~tall(X)|~patient(X))))&
((?[X]... | kind(alice) | [] | null | 0 |
If susan is not wise then fred is either not curious or funny.
If alice is not quiet then someone is happy and vice versa.
Everyone who is not wise or generous is either not rich or not old.
If someone is quiet then paul is happy and vice versa.
Everyone who is not humble is both not happy and not curious and vice vers... | Lucy is not calm. | contradiction | ((~wise(susan))=>((~curious(fred)<~>funny(fred))))&
((~quiet(alice))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)|generous(X))=>(~rich(X)<~>~old(X))))&
((?[X]:(quiet(X)))<=>(happy(paul)))&
(![X]:(~humble(X)<=>(~happy(X)&~curious(X))))&
((?[X]:((~rich(X)&~quiet(X))))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((wise(X)|hum... | ~calm(lucy) | [
"p2",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 659319858748962530835291
% SZS output start Proof for 659319858748962530835291
3. ! [X0] : ((generous(X0) | ~wise(X0)) => (~rich(X0) <~> ~old(X0))) [input p2]
13. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (curious(X0) <~> generous(X0))) [input p12]
14. ! [X0] : ((generous(X0) <~> tall(X0)... | 0 |
Everyone who is creative is both not generous and old.
Everyone who is not generous is both kind and not wise.
If someone is quiet then lucy is either not quiet or not strong.
Everyone who is both curious and not old is funny.
If susan is not rich then mary is either not creative or not funny.
If someone is either humb... | Lucy is not kind. | contradiction | (![X]:(creative(X)=>(~generous(X)&old(X))))&
(![X]:(~generous(X)=>(kind(X)&~wise(X))))&
((?[X]:(quiet(X)))=>((~quiet(lucy)<~>~strong(lucy))))&
(![X]:((curious(X)&~old(X))=>funny(X)))&
((~rich(susan))=>((~creative(mary)<~>~funny(mary))))&
((?[X]:((humble(X)<~>~patient(X))))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((kind(X... | ~kind(lucy) | [
"p0",
"p1",
"p2",
"p8",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5611211921341367160396197
% SZS output start Proof for 5611211921341367160396197
1. ! [X0] : (creative(X0) => (old(X0) & ~generous(X0))) [input p0]
2. ! [X0] : (~generous(X0) => (~wise(X0) & kind(X0))) [input p1]
3. ? [X0] : quiet(X0) => (~quiet(lucy) <~> ~strong(lucy)) [input p2]
9. ! [X... | 0 |
If someone is not wise then someone is not funny or not happy and vice versa.
Everyone who is humble is patient or strong and vice versa.
If someone is wise or not calm then someone is not curious or not calm and vice versa.
Everyone who is both tall and not wise is either not creative or not tall and vice versa.
Every... | Mary is not happy. | contradiction | ((?[X]:(~wise(X)))<=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(humble(X)<=>(patient(X)|strong(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:((~curious(X)|~calm(X)))))&
(![X]:((tall(X)&~wise(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((tall(X)&curious(X))<=>~wise(X)))&
(![X]:((~rich(X)<~>~old(X))=>~quiet(X)))&
(((~funny(mary)... | ~happy(mary) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4530204672454310045327001
% SZS output start Proof for 4530204672454310045327001
1. ? [X0] : ~wise(X0) <=> ? [X0] : (~happy(X0) | ~funny(X0)) [input p0]
5. ! [X0] : ((curious(X0) & tall(X0)) <=> ~wise(X0)) [input p4]
9. ! [X0] : ((happy(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p8... | 0 |
If mary is not humble then mary is not tall or not happy and vice versa.
If someone is both calm and generous then mary is not calm.
If someone is either calm or not strong then lucy is both rich and calm and vice versa.
If someone is either not calm or not generous then john is not brave.
Everyone who is not kind is b... | Lucy is calm. | entailment | ((~humble(mary))<=>((~tall(mary)|~happy(mary))))&
((?[X]:((calm(X)&generous(X))))=>(~calm(mary)))&
((?[X]:((calm(X)<~>~strong(X))))<=>((rich(lucy)&calm(lucy))))&
((?[X]:((~calm(X)<~>~generous(X))))=>(~brave(john)))&
(![X]:(~kind(X)=>(calm(X)&~funny(X))))&
((?[X]:(happy(X)))=>(?[X]:((creative(X)&tall(X)))))&
(![X]:(~bra... | calm(lucy) | [
"p2",
"p4",
"p8",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 616584211648436728843436
% SZS output start Proof for 616584211648436728843436
3. ? [X0] : (calm(X0) <~> ~strong(X0)) <=> (calm(lucy) & rich(lucy)) [input p2]
5. ! [X0] : (~kind(X0) => (~funny(X0) & calm(X0))) [input p4]
9. ! [X0] : ((~strong(X0) | funny(X0)) <=> kind(X0)) [input p8]
10. ... | 0 |
Everyone who is not calm or funny is both not funny and rich.
Everyone who is either funny or creative is not rich and vice versa.
If mary is strong then someone is both not calm and creative.
If fred is rich or not funny then someone is either not kind or not tall.
If someone is either tall or not kind then someone is... | Susan is not generous. | neutral | (![X]:((~calm(X)|funny(X))=>(~funny(X)&rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>~rich(X)))&
((strong(mary))=>(?[X]:((~calm(X)&creative(X)))))&
(((rich(fred)|~funny(fred)))=>(?[X]:((~kind(X)<~>~tall(X)))))&
((?[X]:((tall(X)<~>~kind(X))))=>(?[X]:(generous(X))))&
((~generous(susan))<=>((~strong(susan)<~>~patient(susa... | ~generous(susan) | [] | null | 0 |
Everyone who is both creative and tall is both wise and not tall and vice versa. Everyone who is either rich or not curious is either happy or old. If someone is generous or happy then someone is not humble. Everyone who is both not brave and not calm is not rich or humble. Everyone who is not happy or rich is both pat... | John is not quiet. | entailment | (![X]:((creative(X)&tall(X))<=>(wise(X)&~tall(X))))&
(![X]:((rich(X)<~>~curious(X))=>(happy(X)<~>old(X))))&
((?[X]:((generous(X)|happy(X))))=>(?[X]:(~humble(X))))&
(![X]:((~brave(X)&~calm(X))=>(~rich(X)|humble(X))))&
(![X]:((~happy(X)|rich(X))=>(patient(X)&curious(X))))&
((happy(susan))=>((~funny(mary)<~>~curious(mary)... | ~quiet(john) | [
"p4",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6658547806045687107747371
% SZS output start Proof for 6658547806045687107747371
5. ! [X0] : ((rich(X0) | ~happy(X0)) => (curious(X0) & patient(X0))) [input p4]
15. (quiet(john) <~> happy(john)) <=> (curious(fred) | quiet(fred)) [input p14]
16. ! [X0] : ((~curious(X0) & creative(X0)) <=> ... | 0 |
Everyone who is either not patient or not curious is quiet or funny.
If paul is both strong and not wise then john is either funny or curious.
Everyone who is curious is not humble.
Everyone who is not generous or generous is humble.
Everyone who is both not brave and not humble is not tall and vice versa.
Everyone who... | Paul is old. | neutral | (![X]:((~patient(X)<~>~curious(X))=>(quiet(X)|funny(X))))&
(((strong(paul)&~wise(paul)))=>((funny(john)<~>curious(john))))&
(![X]:(curious(X)=>~humble(X)))&
(![X]:((~generous(X)|generous(X))=>humble(X)))&
(![X]:((~brave(X)&~humble(X))<=>~tall(X)))&
(![X]:((rich(X)&strong(X))<=>(wise(X)|~patient(X))))&
(![X]:(calm(X)=>(... | old(paul) | [] | null | 0 |
If lucy is wise then someone is either not creative or not calm.
If john is not patient then someone is not brave or happy and vice versa.
If someone is not quiet then someone is not happy or creative and vice versa.
Everyone who is both not wise and not patient is both not rich and wise and vice versa.
Everyone who is... | Susan is not creative. | neutral | ((wise(lucy))=>(?[X]:((~creative(X)<~>~calm(X)))))&
((~patient(john))<=>(?[X]:((~brave(X)|happy(X)))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~happy(X)|creative(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(~rich(X)&wise(X))))&
(![X]:((~generous(X)&funny(X))=>(~generous(X)<~>~wise(X))))&
(((tall(lucy)|~curious(lucy)))<=>(?[X]:((~ha... | ~creative(susan) | [] | null | 0 |
Everyone who is either not rich or not generous is either not tall or creative.
Everyone who is both not brave and not rich is not humble and vice versa.
If someone is either kind or not calm then susan is either not patient or not quiet.
If john is either not old or strong then someone is quiet.
Everyone who is either... | Fred is curious. | entailment | (![X]:((~rich(X)<~>~generous(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~brave(X)&~rich(X))<=>~humble(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((~patient(susan)<~>~quiet(susan))))&
(((~old(john)<~>strong(john)))=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)<~>~rich(X))=>(quiet(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X... | curious(fred) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2020973054093304900295223
% SZS output start Proof for 2020973054093304900295223
2. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> ~humble(X0)) [input p1]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) => (curious(X0) & quiet(X0))) [input p4]
9. ! [X0] : ((humble(X0) <~> ~curious(X0)) <=> (~quiet(X0)... | 0 |
If alice is not tall or funny then mary is not funny and vice versa. If someone is either not wise or not rich then susan is quiet. If someone is not quiet or tall then someone is kind or wise and vice versa. Everyone who is curious or generous is both not rich and not humble and vice versa. If someone is both not happ... | Alice is not old. | neutral | (((~tall(alice)|funny(alice)))<=>(~funny(mary)))&
((?[X]:((~wise(X)<~>~rich(X))))=>(quiet(susan)))&
((?[X]:((~quiet(X)|tall(X))))<=>(?[X]:((kind(X)|wise(X)))))&
(![X]:((curious(X)|generous(X))<=>(~rich(X)&~humble(X))))&
((?[X]:((~happy(X)&happy(X))))=>((~curious(john)|funny(john))))&
(![X]:((~creative(X)|~patient(X))=>... | ~old(alice) | [] | null | 0 |
Everyone who is not humble is old or not strong and vice versa.
If someone is either humble or generous then fred is either quiet or old.
Everyone who is both not brave and not calm is both tall and not old.
Everyone who is not humble or brave is not generous or rich and vice versa.
If lucy is both not wise and not cur... | Alice is not strong. | contradiction | (![X]:(~humble(X)<=>(old(X)|~strong(X))))&
((?[X]:((humble(X)<~>generous(X))))=>((quiet(fred)<~>old(fred))))&
(![X]:((~brave(X)&~calm(X))=>(tall(X)&~old(X))))&
(![X]:((~humble(X)|brave(X))<=>(~generous(X)|rich(X))))&
(((~wise(lucy)&~curious(lucy)))<=>(?[X]:((creative(X)&patient(X)))))&
(![X]:((~tall(X)<~>~kind(X))<=>(q... | ~strong(alice) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1189752258811346115620626
% SZS output start Proof for 1189752258811346115620626
1. ! [X0] : (~humble(X0) <=> (~strong(X0) | old(X0))) [input p0]
23. ~happy(alice) & humble(alice) [input p22]
25. ~strong(alice) [input hypothesis]
38. ! [X0] : ((~humble(X0) | (strong(X0) & ~old(X0))) & ((~... | 0 |
Everyone who is both rich and kind is both not creative and rich and vice versa. Everyone who is not quiet is wise or not calm and vice versa. Everyone who is either tall or calm is not quiet and vice versa. Everyone who is tall is not funny or not rich and vice versa. Everyone who is not strong is either rich or wise.... | John is curious. | neutral | (![X]:((rich(X)&kind(X))<=>(~creative(X)&rich(X))))&
(![X]:(~quiet(X)<=>(wise(X)|~calm(X))))&
(![X]:((tall(X)<~>calm(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~funny(X)|~rich(X))))&
(![X]:(~strong(X)=>(rich(X)<~>wise(X))))&
(![X]:(~old(X)=>~kind(X)))&
(((calm(paul)<~>~rich(paul)))=>((~humble(john)|kind(john))))&
((~funny(lu... | curious(john) | [] | null | 0 |
Everyone who is old is funny and vice versa.
If alice is not calm then paul is both not calm and not happy and vice versa.
Everyone who is strong or not creative is either creative or strong.
Everyone who is calm or kind is both tall and quiet.
If susan is not old then mary is not happy or calm.
Everyone who is not ric... | Mary is not old. | entailment | (![X]:(old(X)<=>funny(X)))&
((~calm(alice))<=>((~calm(paul)&~happy(paul))))&
(![X]:((strong(X)|~creative(X))=>(creative(X)<~>strong(X))))&
(![X]:((calm(X)|kind(X))=>(tall(X)&quiet(X))))&
((~old(susan))=>((~happy(mary)|calm(mary))))&
(![X]:((~rich(X)|tall(X))=>(happy(X)|brave(X))))&
((?[X]:((~quiet(X)|old(X))))=>(?[X]:(... | ~old(mary) | [
"p0",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3842783594598028252534547
% SZS output start Proof for 3842783594598028252534547
1. ! [X0] : (old(X0) <=> funny(X0)) [input p0]
8. ! [X0] : ((funny(X0) <~> ~old(X0)) <=> (~funny(X0) & humble(X0))) [input p7]
24. old(mary) [input hypothesis]
39. ! [X0] : ((old(X0) | ~funny(X0)) & (funny(X0... | 0 |
If someone is not wise or funny then someone is happy or tall. If someone is not humble then fred is humble or kind and vice versa. Everyone who is either calm or wise is happy or not rich and vice versa. If someone is either strong or not strong then someone is quiet or strong and vice versa. Everyone who is brave is ... | Lucy is not generous. | neutral | ((?[X]:((~wise(X)|funny(X))))=>(?[X]:((happy(X)|tall(X)))))&
((?[X]:(~humble(X)))<=>((humble(fred)|kind(fred))))&
(![X]:((calm(X)<~>wise(X))<=>(happy(X)|~rich(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>(?[X]:((quiet(X)|strong(X)))))&
(![X]:(brave(X)<=>(curious(X)&~happy(X))))&
((?[X]:(rich(X)))=>(?[X]:((humble(X)&rich... | ~generous(lucy) | [] | null | 0 |
Everyone who is not brave is old. Everyone who is not calm is both funny and not patient. If someone is not curious or generous then lucy is either curious or kind. Everyone who is either calm or not funny is not kind or not brave and vice versa. Everyone who is humble or not creative is either patient or happy. If joh... | Lucy is generous. | contradiction | (![X]:(~brave(X)=>old(X)))&
(![X]:(~calm(X)=>(funny(X)&~patient(X))))&
((?[X]:((~curious(X)|generous(X))))=>((curious(lucy)<~>kind(lucy))))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happy(X))))&
(((~humble(john)|strong(john)))=>(?[X]:(~happy(X))))&
((?[X]:((~... | generous(lucy) | [
"p2",
"p8",
"p10",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1697361154714929503843746
% SZS output start Proof for 1697361154714929503843746
3. ? [X0] : (generous(X0) | ~curious(X0)) => (curious(lucy) <~> kind(lucy)) [input p2]
9. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (happy(X0) <~> ~kind(X0))) [input p8]
11. ! [X0] : ((happy(X0) | ~kind(X0)) =... | 0 |
Everyone who is not curious is not old.
Everyone who is generous is either not calm or brave.
Everyone who is funny or patient is not tall and vice versa.
Everyone who is either old or not old is either funny or happy and vice versa.
If susan is humble then mary is not patient and vice versa.
Everyone who is not wise i... | Fred is not strong. | neutral | (![X]:(~curious(X)=>~old(X)))&
(![X]:(generous(X)=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)|patient(X))<=>~tall(X)))&
(![X]:((old(X)<~>~old(X))<=>(funny(X)<~>happy(X))))&
((humble(susan))<=>(~patient(mary)))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((curious(X)<~>humble(X))<=>(~generous(X)|wise(X))))&
((?[X]:((~rich(X)|qu... | ~strong(fred) | [] | null | 0 |
If susan is both not funny and not strong then someone is either wise or calm.
Everyone who is either not humble or brave is not old and vice versa.
Everyone who is not humble or not funny is both patient and not wise.
If someone is patient or strong then someone is patient.
Everyone who is both patient and not humble ... | Lucy is strong. | neutral | (((~funny(susan)&~strong(susan)))=>(?[X]:((wise(X)<~>calm(X)))))&
(![X]:((~humble(X)<~>brave(X))<=>~old(X)))&
(![X]:((~humble(X)|~funny(X))=>(patient(X)&~wise(X))))&
((?[X]:((patient(X)|strong(X))))=>(?[X]:(patient(X))))&
(![X]:((patient(X)&~humble(X))<=>(~curious(X)<~>humble(X))))&
(((funny(lucy)&~wise(lucy)))<=>((~qu... | strong(lucy) | [] | null | 0 |
If someone is both not quiet and rich then someone is either not generous or not curious.
Everyone who is either strong or not tall is quiet.
If someone is either generous or not creative then susan is both not happy and not funny and vice versa.
Everyone who is not patient or old is not patient or not kind.
If lucy is... | Susan is not old. | entailment | ((?[X]:((~quiet(X)&rich(X))))=>(?[X]:((~generous(X)<~>~curious(X)))))&
(![X]:((strong(X)<~>~tall(X))=>quiet(X)))&
((?[X]:((generous(X)<~>~creative(X))))<=>((~happy(susan)&~funny(susan))))&
(![X]:((~patient(X)|old(X))=>(~patient(X)|~kind(X))))&
((~strong(lucy))=>(?[X]:((old(X)|calm(X)))))&
(((~kind(lucy)&brave(lucy)))<=... | ~old(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6625458085765033763432992
% SZS output start Proof for 6625458085765033763432992
17. ~old(susan) & ~patient(susan) [input p16]
25. old(susan) [input hypothesis]
145. ~old(susan) [cnf transformation 17]
154. old(susan) [cnf transformation 25]
318. $false [subsumption resolution 154,145]
% ... | 0 |
If alice is funny or rich then alice is brave.
If someone is either wise or patient then someone is humble and vice versa.
Everyone who is both tall and happy is both rich and not calm and vice versa.
Everyone who is not patient or curious is either old or wise and vice versa.
If someone is not tall then someone is wis... | Alice is tall. | neutral | (((funny(alice)|rich(alice)))=>(brave(alice)))&
((?[X]:((wise(X)<~>patient(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)&happy(X))<=>(rich(X)&~calm(X))))&
(![X]:((~patient(X)|curious(X))<=>(old(X)<~>wise(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((wise(X)|old(X)))))&
((?[X]:((wise(X)<~>humble(X))))=>((~tall(mary)|~patient(mary)... | tall(alice) | [] | null | 0 |
If someone is curious then alice is not happy.
Everyone who is not humble or not kind is not curious or not strong and vice versa.
Everyone who is tall or not quiet is not happy or not kind and vice versa.
If someone is not curious then someone is strong and vice versa.
Everyone who is not rich or not happy is either p... | Mary is humble. | contradiction | ((?[X]:(curious(X)))=>(~happy(alice)))&
(![X]:((~humble(X)|~kind(X))<=>(~curious(X)|~strong(X))))&
(![X]:((tall(X)|~quiet(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(strong(X))))&
(![X]:((~rich(X)|~happy(X))=>(patient(X)<~>~rich(X))))&
(![X]:((~calm(X)<~>~humble(X))<=>(~rich(X)|kind(X))))&
((?[X]:((bra... | humble(mary) | [
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1428823257627430457212666
% SZS output start Proof for 1428823257627430457212666
9. ! [X0] : ((~quiet(X0) | curious(X0)) <=> ~humble(X0)) [input p8]
12. ! [X0] : (~curious(X0) <=> (tall(X0) & ~happy(X0))) [input p11]
13. ! [X0] : ((curious(X0) & kind(X0)) <=> (~funny(X0) | tall(X0))) [inp... | 0 |
Everyone who is humble or brave is funny. If susan is not curious or not old then someone is either curious or not old and vice versa. If mary is both tall and not happy then fred is strong and vice versa. Everyone who is either brave or curious is both not patient and brave and vice versa. If someone is quiet or brave... | Alice is generous. | neutral | (![X]:((humble(X)|brave(X))=>funny(X)))&
(((~curious(susan)|~old(susan)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(((tall(mary)&~happy(mary)))<=>(strong(fred)))&
(![X]:((brave(X)<~>curious(X))<=>(~patient(X)&brave(X))))&
((?[X]:((quiet(X)|brave(X))))<=>((~funny(fred)|~strong(fred))))&
(((~kind(susan)&funny(susan)))<=>(?[X]... | generous(alice) | [] | null | 0 |
Everyone who is not humble or not happy is both patient and not curious and vice versa.
Everyone who is not old is both generous and not brave and vice versa.
Everyone who is old or not funny is either old or calm.
Everyone who is either rich or not tall is either patient or not brave and vice versa.
Everyone who is bo... | Fred is not happy. | contradiction | (![X]:((~humble(X)|~happy(X))<=>(patient(X)&~curious(X))))&
(![X]:(~old(X)<=>(generous(X)&~brave(X))))&
(![X]:((old(X)|~funny(X))=>(old(X)<~>calm(X))))&
(![X]:((rich(X)<~>~tall(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((funny(X)&rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~calm(X)&curious(X))<=>(~calm(X)<~>calm(X))))&... | ~happy(fred) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1206931447734045353519330
% SZS output start Proof for 1206931447734045353519330
1. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~curious(X0) & patient(X0))) [input p0]
6. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~calm(X0) <~> calm(X0))) [input p5]
25. ~happy(fred) [input hypothesis]
38. ! [... | 0 |
Everyone who is not strong or not brave is either tall or not quiet.
Everyone who is not wise or not funny is generous or not quiet and vice versa.
Everyone who is generous is not wise.
Everyone who is either funny or not tall is kind or curious.
Everyone who is funny or strong is brave.
Everyone who is not patient is ... | Lucy is not generous. | contradiction | (![X]:((~strong(X)|~brave(X))=>(tall(X)<~>~quiet(X))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)|~quiet(X))))&
(![X]:(generous(X)=>~wise(X)))&
(![X]:((funny(X)<~>~tall(X))=>(kind(X)|curious(X))))&
(![X]:((funny(X)|strong(X))=>brave(X)))&
(![X]:(~patient(X)=>(calm(X)|~calm(X))))&
(![X]:((~strong(X)|~tall(X))<=>(rich(X... | ~generous(lucy) | [
"p0",
"p1",
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1261691915426252869987682
% SZS output start Proof for 1261691915426252869987682
1. ! [X0] : ((~brave(X0) | ~strong(X0)) => (tall(X0) <~> ~quiet(X0))) [input p0]
2. ! [X0] : ((~funny(X0) | ~wise(X0)) <=> (~quiet(X0) | generous(X0))) [input p1]
5. ! [X0] : ((strong(X0) | funny(X0)) => brav... | 0 |
If someone is not old then lucy is both creative and generous.
Everyone who is either not tall or creative is tall or kind and vice versa.
Everyone who is both not calm and not humble is funny and vice versa.
Everyone who is not creative or happy is brave.
Everyone who is either not humble or wise is not kind or strong... | Alice is not patient. | neutral | ((?[X]:(~old(X)))=>((creative(lucy)&generous(lucy))))&
(![X]:((~tall(X)<~>creative(X))<=>(tall(X)|kind(X))))&
(![X]:((~calm(X)&~humble(X))<=>funny(X)))&
(![X]:((~creative(X)|happy(X))=>brave(X)))&
(![X]:((~humble(X)<~>wise(X))=>(~kind(X)|strong(X))))&
(![X]:((~generous(X)<~>strong(X))<=>(~brave(X)&~wise(X))))&
(![X]:((... | ~patient(alice) | [] | null | 0 |
Everyone who is strong is not humble.
Everyone who is either not strong or not brave is not quiet or not calm.
Everyone who is rich or not old is either not funny or not old and vice versa.
If fred is not patient or not old then alice is either strong or not old.
If someone is not tall then lucy is both old and creativ... | Lucy is not humble. | entailment | (![X]:(strong(X)=>~humble(X)))&
(![X]:((~strong(X)<~>~brave(X))=>(~quiet(X)|~calm(X))))&
(![X]:((rich(X)|~old(X))<=>(~funny(X)<~>~old(X))))&
(((~patient(fred)|~old(fred)))=>((strong(alice)<~>~old(alice))))&
((?[X]:(~tall(X)))<=>((old(lucy)&creative(lucy))))&
(((~brave(mary)&~rich(mary)))<=>((~happy(paul)|rich(paul))))&... | ~humble(lucy) | [
"p0",
"p2",
"p3",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3392920691589138597787540
% SZS output start Proof for 3392920691589138597787540
1. ! [X0] : (strong(X0) => ~humble(X0)) [input p0]
3. ! [X0] : ((~old(X0) | rich(X0)) <=> (~funny(X0) <~> ~old(X0))) [input p2]
4. (~old(fred) | ~patient(fred)) => (strong(alice) <~> ~old(alice)) [input p3]
9... | 0 |
Everyone who is happy or not quiet is both not happy and happy and vice versa. Everyone who is either kind or generous is either not wise or funny. Everyone who is either not funny or rich is humble or quiet. If alice is not creative then someone is funny and vice versa. Everyone who is humble or not wise is not quiet ... | Susan is not strong. | neutral | (![X]:((happy(X)|~quiet(X))<=>(~happy(X)&happy(X))))&
(![X]:((kind(X)<~>generous(X))=>(~wise(X)<~>funny(X))))&
(![X]:((~funny(X)<~>rich(X))=>(humble(X)|quiet(X))))&
((~creative(alice))<=>(?[X]:(funny(X))))&
(![X]:((humble(X)|~wise(X))<=>~quiet(X)))&
((~brave(lucy))<=>(~kind(lucy)))&
(![X]:(quiet(X)=>~generous(X)))&
((~... | ~strong(susan) | [] | null | 0 |
If lucy is not patient then lucy is both not funny and calm. If fred is tall or not generous then lucy is not brave and vice versa. Everyone who is funny or not tall is either not creative or generous and vice versa. If fred is wise then susan is either curious or not strong. Everyone who is both patient and strong is ... | Lucy is not tall. | contradiction | ((~patient(lucy))=>((~funny(lucy)&calm(lucy))))&
(((tall(fred)|~generous(fred)))<=>(~brave(lucy)))&
(![X]:((funny(X)|~tall(X))<=>(~creative(X)<~>generous(X))))&
((wise(fred))=>((curious(susan)<~>~strong(susan))))&
(![X]:((patient(X)&strong(X))=>(patient(X)|tall(X))))&
((?[X]:(~rich(X)))=>((~humble(susan)<~>~happy(susan... | ~tall(lucy) | [
"p1",
"p2",
"p9",
"p11",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4413189128032147638390767
% SZS output start Proof for 4413189128032147638390767
2. (~generous(fred) | tall(fred)) <=> ~brave(lucy) [input p1]
3. ! [X0] : ((~tall(X0) | funny(X0)) <=> (~creative(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((old(X0) & ~calm(X0)) <=> (wise(X0) | ~brave(X... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If someone is both not generous and calm then mary is quiet or happy.
If someone is either not rich or not funny then someone is not humble.
Everyone who is old or not quiet is humble and vice versa.
If someone is both not strong and wis... | John is not creative. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((~generous(X)&calm(X))))=>((quiet(mary)|happy(mary))))&
((?[X]:((~rich(X)<~>~funny(X))))=>(?[X]:(~humble(X))))&
(![X]:((old(X)|~quiet(X))<=>humble(X)))&
((?[X]:((~strong(X)&wise(X))))<=>(?[X]:(wise(X))))&
(((humble(paul)<~>~tall(paul)))=>(~creative(mary... | ~creative(john) | [
"p0",
"p3",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3432167592467379778894561
% SZS output start Proof for 3432167592467379778894561
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | old(X0)) <=> humble(X0)) [input p3]
7. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> generous(X0))... | 0 |
Everyone who is not tall or not calm is not quiet or humble.
Everyone who is not strong or kind is both calm and not kind and vice versa.
Everyone who is both not calm and calm is either not quiet or not creative and vice versa.
If mary is both not strong and not funny then lucy is either wise or rich and vice versa.
I... | Susan is calm. | entailment | (![X]:((~tall(X)|~calm(X))=>(~quiet(X)|humble(X))))&
(![X]:((~strong(X)|kind(X))<=>(calm(X)&~kind(X))))&
(![X]:((~calm(X)&calm(X))<=>(~quiet(X)<~>~creative(X))))&
(((~strong(mary)&~funny(mary)))<=>((wise(lucy)<~>rich(lucy))))&
(((calm(mary)&~brave(mary)))<=>((~quiet(paul)<~>patient(paul))))&
(((~humble(fred)&calm(fred)... | calm(susan) | [
"p1",
"p2",
"p6",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2610309513778754054548752
% SZS output start Proof for 2610309513778754054548752
2. ! [X0] : ((kind(X0) | ~strong(X0)) <=> (~kind(X0) & calm(X0))) [input p1]
3. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p2]
7. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~brav... | 0 |
If fred is both patient and calm then someone is brave or quiet and vice versa.
Everyone who is either not humble or not happy is both calm and not tall and vice versa.
Everyone who is either not rich or not funny is both generous and not creative.
Everyone who is both curious and not tall is quiet.
If fred is both not... | John is humble. | neutral | (((patient(fred)&calm(fred)))<=>(?[X]:((brave(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~happy(X))<=>(calm(X)&~tall(X))))&
(![X]:((~rich(X)<~>~funny(X))=>(generous(X)&~creative(X))))&
(![X]:((curious(X)&~tall(X))=>quiet(X)))&
(((~rich(fred)&creative(fred)))=>(?[X]:((~calm(X)&~wise(X)))))&
(![X]:((wise(X)<~>patient(X))=>(cu... | humble(john) | [] | null | 0 |
If someone is both generous and quiet then susan is not curious or brave.
Everyone who is not kind is both tall and not strong and vice versa.
Everyone who is both not creative and brave is either calm or not tall.
Everyone who is not creative or not quiet is not kind or curious and vice versa.
If susan is brave or cur... | Alice is not happy. | neutral | ((?[X]:((generous(X)&quiet(X))))=>((~curious(susan)|brave(susan))))&
(![X]:(~kind(X)<=>(tall(X)&~strong(X))))&
(![X]:((~creative(X)&brave(X))=>(calm(X)<~>~tall(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~kind(X)|curious(X))))&
(((brave(susan)|curious(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(patient(X)=>(~humble(X)&~curious... | ~happy(alice) | [] | null | 0 |
If fred is humble or rich then lucy is either not creative or wise and vice versa.
If mary is happy or not humble then mary is either curious or not rich and vice versa.
If mary is both not tall and strong then fred is funny or not quiet.
If john is both not curious and tall then someone is not tall.
Everyone who is bo... | John is kind. | neutral | (((humble(fred)|rich(fred)))<=>((~creative(lucy)<~>wise(lucy))))&
(((happy(mary)|~humble(mary)))<=>((curious(mary)<~>~rich(mary))))&
(((~tall(mary)&strong(mary)))=>((funny(fred)|~quiet(fred))))&
(((~curious(john)&tall(john)))=>(?[X]:(~tall(X))))&
(![X]:((~humble(X)&kind(X))<=>(funny(X)&quiet(X))))&
(![X]:(calm(X)<=>(cr... | kind(john) | [] | null | 0 |
If alice is not rich or not quiet then fred is generous or strong and vice versa.
If mary is not brave or not patient then lucy is both not calm and not funny and vice versa.
If susan is both patient and calm then someone is both old and curious and vice versa.
Everyone who is both not strong and creative is not humble... | Lucy is tall. | contradiction | (((~rich(alice)|~quiet(alice)))<=>((generous(fred)|strong(fred))))&
(((~brave(mary)|~patient(mary)))<=>((~calm(lucy)&~funny(lucy))))&
(((patient(susan)&calm(susan)))<=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~strong(X)&creative(X))<=>(~humble(X)|patient(X))))&
(((creative(john)&~calm(john)))<=>((calm(lucy)<~>~rich(lucy)... | tall(lucy) | [
"p1",
"p3",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2425920601223453854426028
% SZS output start Proof for 2425920601223453854426028
2. (~patient(mary) | ~brave(mary)) <=> (~funny(lucy) & ~calm(lucy)) [input p1]
4. ! [X0] : ((creative(X0) & ~strong(X0)) <=> (patient(X0) | ~humble(X0))) [input p3]
12. ! [X0] : ((tall(X0) | creative(X0)) <=>... | 0 |
If mary is both not quiet and not rich then someone is either not happy or not generous and vice versa.
Everyone who is calm is both not happy and rich.
If fred is tall or not tall then someone is either not generous or quiet.
Everyone who is tall or not rich is calm or not kind and vice versa.
Everyone who is either n... | Susan is rich. | entailment | (((~quiet(mary)&~rich(mary)))<=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:(calm(X)=>(~happy(X)&rich(X))))&
(((tall(fred)|~tall(fred)))=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:((tall(X)|~rich(X))<=>(calm(X)|~kind(X))))&
(![X]:((~tall(X)<~>patient(X))<=>~happy(X)))&
(![X]:((~old(X)|tall(X))=>funny(X)))&
(((~strong(... | rich(susan) | [
"p1",
"p3",
"p4",
"p6",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9208738984523703922720219
% SZS output start Proof for 9208738984523703922720219
2. ! [X0] : (calm(X0) => (rich(X0) & ~happy(X0))) [input p1]
4. ! [X0] : ((~rich(X0) | tall(X0)) <=> (~kind(X0) | calm(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> ~happy(X0)) [input p4]
7. (... | 0 |
Everyone who is both not strong and not rich is not happy or not strong.
If someone is both quiet and not strong then alice is both not old and brave.
Everyone who is not funny or not humble is both rich and brave and vice versa.
If someone is not calm or old then susan is either not creative or not calm and vice versa... | Susan is not patient. | contradiction | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|~strong(X))))&
((?[X]:((quiet(X)&~strong(X))))=>((~old(alice)&brave(alice))))&
(![X]:((~funny(X)|~humble(X))<=>(rich(X)&brave(X))))&
((?[X]:((~calm(X)|old(X))))<=>((~creative(susan)<~>~calm(susan))))&
(((~tall(alice)&wise(alice)))=>((~humble(john)<~>~strong(john))))&
((?[X]:(kin... | ~patient(susan) | [
"p2",
"p6",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7319175265501515562492245
% SZS output start Proof for 7319175265501515562492245
3. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (brave(X0) & rich(X0))) [input p2]
7. ~tall(susan) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p6]
13. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~rich(X0) | st... | 0 |
Everyone who is tall or not strong is either patient or not happy.
Everyone who is either generous or strong is old and vice versa.
Everyone who is both not creative and humble is both generous and funny.
If someone is strong or not humble then someone is both not quiet and strong and vice versa.
If someone is brave or... | Mary is tall. | entailment | (![X]:((tall(X)|~strong(X))=>(patient(X)<~>~happy(X))))&
(![X]:((generous(X)<~>strong(X))<=>old(X)))&
(![X]:((~creative(X)&humble(X))=>(generous(X)&funny(X))))&
((?[X]:((strong(X)|~humble(X))))<=>(?[X]:((~quiet(X)&strong(X)))))&
((?[X]:((brave(X)|~humble(X))))=>(?[X]:((~tall(X)|~funny(X)))))&
(![X]:((~creative(X)&~kind... | tall(mary) | [
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8522789898323482518945524
% SZS output start Proof for 8522789898323482518945524
21. generous(mary) & funny(mary) [input p20]
23. ~funny(mary) <~> tall(mary) [input p22]
25. ~tall(mary) [input hypothesis]
79. (~tall(mary) | funny(mary)) & (tall(mary) | ~funny(mary)) [nnf transformation 23... | 0 |
Everyone who is not strong or rich is both patient and not brave.
Everyone who is old is either not wise or happy.
If susan is either not quiet or not tall then susan is creative and vice versa.
Everyone who is either creative or not quiet is not quiet or curious.
Everyone who is funny is either not humble or creative ... | Susan is not creative. | neutral | (![X]:((~strong(X)|rich(X))=>(patient(X)&~brave(X))))&
(![X]:(old(X)=>(~wise(X)<~>happy(X))))&
(((~quiet(susan)<~>~tall(susan)))<=>(creative(susan)))&
(![X]:((creative(X)<~>~quiet(X))=>(~quiet(X)|curious(X))))&
(![X]:(funny(X)<=>(~humble(X)<~>creative(X))))&
(![X]:((~humble(X)&kind(X))<=>happy(X)))&
(![X]:((~old(X)|gen... | ~creative(susan) | [] | null | 0 |
If mary is strong then fred is both not strong and not kind.
If someone is old or not brave then fred is patient.
Everyone who is humble or quiet is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is n... | Lucy is generous. | contradiction | ((strong(mary))=>((~strong(fred)&~kind(fred))))&
((?[X]:((old(X)|~brave(X))))=>(patient(fred)))&
(![X]:((humble(X)|quiet(X))<=>~patient(X)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X... | generous(lucy) | [
"p2",
"p4",
"p7",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3505929075010664572278319
% SZS output start Proof for 3505929075010664572278319
3. ! [X0] : ((quiet(X0) | humble(X0)) <=> ~patient(X0)) [input p2]
5. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p4]
8. ! [X0] : ((happy(X0) & ~happy(X0)) <=> (~curious(X0) | quiet(X0))) [inp... | 0 |
If fred is creative then susan is calm or rich.
Everyone who is either not brave or not funny is brave and vice versa.
Everyone who is brave is not wise and vice versa.
If mary is not wise or not generous then someone is tall or not kind and vice versa.
Everyone who is both not curious and not rich is both old and not ... | Paul is not funny. | entailment | ((creative(fred))=>((calm(susan)|rich(susan))))&
(![X]:((~brave(X)<~>~funny(X))<=>brave(X)))&
(![X]:(brave(X)<=>~wise(X)))&
(((~wise(mary)|~generous(mary)))<=>(?[X]:((tall(X)|~kind(X)))))&
(![X]:((~curious(X)&~rich(X))<=>(old(X)&~strong(X))))&
((?[X]:((~tall(X)&~happy(X))))<=>(?[X]:((happy(X)&quiet(X)))))&
(![X]:(curio... | ~funny(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5843303918829099675565151
% SZS output start Proof for 5843303918829099675565151
2. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> brave(X0)) [input p1]
25. funny(paul) [input hypothesis]
36. ! [X0] : ((((funny(X0) | brave(X0)) & (~funny(X0) | ~brave(X0))) | ~brave(X0)) & (brave(X0) | ((~brave... | 0 |
If paul is either not creative or not wise then mary is not happy or not tall. Everyone who is patient or happy is either brave or not calm. Everyone who is old is either not quiet or calm and vice versa. Everyone who is either not creative or generous is funny or generous and vice versa. Everyone who is either not hum... | Susan is rich. | entailment | (((~creative(paul)<~>~wise(paul)))=>((~happy(mary)|~tall(mary))))&
(![X]:((patient(X)|happy(X))=>(brave(X)<~>~calm(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(funny(X)|generous(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(humble(X)&~humble(X))))&
(![X]:((generous(X)&~generous(X))<=... | rich(susan) | [
"p3",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 685403025638234744948179
% SZS output start Proof for 685403025638234744948179
4. ! [X0] : ((~creative(X0) <~> generous(X0)) <=> (generous(X0) | funny(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & generous(X0)) <=> (funny(X0) | calm(X0))) [input p5]
8. ? [X0] : (~humble(X0) <~> creative(... | 0 |
Everyone who is both not rich and not wise is both strong and funny and vice versa. Everyone who is creative or not happy is brave. If someone is either not generous or happy then john is either not creative or curious and vice versa. If someone is either quiet or creative then someone is both not funny and humble. If ... | John is funny. | contradiction | (![X]:((~rich(X)&~wise(X))<=>(strong(X)&funny(X))))&
(![X]:((creative(X)|~happy(X))=>brave(X)))&
((?[X]:((~generous(X)<~>happy(X))))<=>((~creative(john)<~>curious(john))))&
((?[X]:((quiet(X)<~>creative(X))))=>(?[X]:((~funny(X)&humble(X)))))&
((?[X]:((humble(X)&creative(X))))=>((~kind(fred)|happy(fred))))&
((patient(joh... | funny(john) | [
"p0",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7557375466950793334873019
% SZS output start Proof for 7557375466950793334873019
1. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> (funny(X0) & strong(X0))) [input p0]
18. strong(john) & calm(john) [input p17]
23. rich(john) [input p22]
25. funny(john) [input hypothesis]
41. ! [X0] : (((~wise(X0) ... | 0 |
If alice is tall or not old then lucy is both happy and not humble and vice versa. Everyone who is patient or curious is either kind or calm. Everyone who is both not wise and not brave is either not brave or not tall. If john is both humble and not patient then john is both patient and tall. If alice is not rich then ... | Alice is not patient. | neutral | (((tall(alice)|~old(alice)))<=>((happy(lucy)&~humble(lucy))))&
(![X]:((patient(X)|curious(X))=>(kind(X)<~>calm(X))))&
(![X]:((~wise(X)&~brave(X))=>(~brave(X)<~>~tall(X))))&
(((humble(john)&~patient(john)))=>((patient(john)&tall(john))))&
((~rich(alice))=>(?[X]:((~happy(X)&~creative(X)))))&
(((humble(john)<~>~rich(john)... | ~patient(alice) | [] | null | 0 |
Everyone who is not strong is not wise.
Everyone who is both funny and tall is either not old or not quiet and vice versa.
If someone is creative then someone is not creative or happy.
Everyone who is not generous or patient is rich and vice versa.
Everyone who is quiet or not strong is not quiet or old.
Everyone who i... | John is humble. | neutral | (![X]:(~strong(X)=>~wise(X)))&
(![X]:((funny(X)&tall(X))<=>(~old(X)<~>~quiet(X))))&
((?[X]:(creative(X)))=>(?[X]:((~creative(X)|happy(X)))))&
(![X]:((~generous(X)|patient(X))<=>rich(X)))&
(![X]:((quiet(X)|~strong(X))=>(~quiet(X)|old(X))))&
(![X]:((~strong(X)|curious(X))<=>(~strong(X)&strong(X))))&
(![X]:((~funny(X)&bra... | humble(john) | [] | null | 0 |
Everyone who is both not calm and brave is both not rich and not brave and vice versa.
If lucy is not quiet or rich then alice is not rich or not funny.
Everyone who is either not kind or not humble is not brave or creative and vice versa.
If susan is both not wise and calm then someone is either generous or humble and... | John is calm. | neutral | (![X]:((~calm(X)&brave(X))<=>(~rich(X)&~brave(X))))&
(((~quiet(lucy)|rich(lucy)))=>((~rich(alice)|~funny(alice))))&
(![X]:((~kind(X)<~>~humble(X))<=>(~brave(X)|creative(X))))&
(((~wise(susan)&calm(susan)))<=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:(~calm(X)=>creative(X)))&
(![X]:(brave(X)=>(~brave(X)<~>funny(X))))&
... | calm(john) | [] | null | 0 |
If someone is wise then fred is old or not kind and vice versa. Everyone who is not brave or not tall is both not brave and not old. If someone is both not happy and not curious then paul is both quiet and curious and vice versa. Everyone who is old is brave. If someone is not wise or not strong then someone is either ... | Mary is not brave. | contradiction | ((?[X]:(wise(X)))<=>((old(fred)|~kind(fred))))&
(![X]:((~brave(X)|~tall(X))=>(~brave(X)&~old(X))))&
((?[X]:((~happy(X)&~curious(X))))<=>((quiet(paul)&curious(paul))))&
(![X]:(old(X)=>brave(X)))&
((?[X]:((~wise(X)|~strong(X))))<=>(?[X]:((~wise(X)<~>generous(X)))))&
(![X]:((tall(X)|~creative(X))<=>(quiet(X)|~quiet(X))))&... | ~brave(mary) | [
"p1",
"p9",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3962744933555896068708631
% SZS output start Proof for 3962744933555896068708631
2. ! [X0] : ((~tall(X0) | ~brave(X0)) => (~old(X0) & ~brave(X0))) [input p1]
10. ! [X0] : (~funny(X0) <=> (strong(X0) <~> old(X0))) [input p9]
13. ! [X0] : ((~strong(X0) & curious(X0)) <=> tall(X0)) [input p1... | 0 |
If someone is either curious or happy then someone is humble and vice versa. Everyone who is both tall and not patient is not patient and vice versa. If susan is quiet then john is not creative and vice versa. If susan is not calm then susan is not wise. If john is both rich and tall then alice is not strong or strong ... | John is brave. | entailment | ((?[X]:((curious(X)<~>happy(X))))<=>(?[X]:(humble(X))))&
(![X]:((tall(X)&~patient(X))<=>~patient(X)))&
((quiet(susan))<=>(~creative(john)))&
((~calm(susan))=>(~wise(susan)))&
(((rich(john)&tall(john)))<=>((~strong(alice)|strong(alice))))&
(![X]:(quiet(X)<=>creative(X)))&
(![X]:((~creative(X)&rich(X))=>(~calm(X)|generou... | brave(john) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6821101828814692459632507
% SZS output start Proof for 6821101828814692459632507
12. ! [X0] : ((funny(X0) | humble(X0)) => brave(X0)) [input p11]
14. ! [X0] : (humble(X0) <=> (~brave(X0) | calm(X0))) [input p13]
24. ~brave(john) [input hypothesis]
34. ! [X0] : (brave(X0) | (~funny(X0) & ~... | 0 |
If fred is either kind or rich then susan is both happy and not quiet. Everyone who is both creative and not quiet is quiet and vice versa. If someone is calm then paul is both curious and strong. If paul is both wise and not humble then john is either not generous or not old. Everyone who is not kind is calm. If someo... | Fred is kind. | entailment | (((kind(fred)<~>rich(fred)))=>((happy(susan)&~quiet(susan))))&
(![X]:((creative(X)&~quiet(X))<=>quiet(X)))&
((?[X]:(calm(X)))=>((curious(paul)&strong(paul))))&
(((wise(paul)&~humble(paul)))=>((~generous(john)<~>~old(john))))&
(![X]:(~kind(X)=>calm(X)))&
((?[X]:((old(X)<~>funny(X))))<=>(?[X]:((tall(X)<~>~creative(X)))))... | kind(fred) | [
"p1",
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4784029801701556323825395
% SZS output start Proof for 4784029801701556323825395
2. ! [X0] : ((~quiet(X0) & creative(X0)) <=> quiet(X0)) [input p1]
3. ? [X0] : calm(X0) => (strong(paul) & curious(paul)) [input p2]
5. ! [X0] : (~kind(X0) => calm(X0)) [input p4]
8. ! [X0] : ((curious(X0) | ... | 0 |
Everyone who is either not generous or creative is calm. Everyone who is either not patient or generous is both funny and not curious. Everyone who is both not old and old is not rich or old and vice versa. Everyone who is rich is kind. If fred is kind or not strong then someone is either calm or not strong. Everyone w... | John is generous. | entailment | (![X]:((~generous(X)<~>creative(X))=>calm(X)))&
(![X]:((~patient(X)<~>generous(X))=>(funny(X)&~curious(X))))&
(![X]:((~old(X)&old(X))<=>(~rich(X)|old(X))))&
(![X]:(rich(X)=>kind(X)))&
(((kind(fred)|~strong(fred)))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((strong(X)|~calm(X))=>generous(X)))&
(![X]:((happy(X)<~>~rich(X)... | generous(john) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6176546243430533982655174
% SZS output start Proof for 6176546243430533982655174
3. ! [X0] : ((old(X0) & ~old(X0)) <=> (old(X0) | ~rich(X0))) [input p2]
8. (creative(paul) & ~rich(paul)) <=> ? [X0] : (~funny(X0) | ~generous(X0)) [input p7]
23. ~generous(john) [input hypothesis]
39. ! [X0]... | 0 |
Everyone who is either happy or quiet is not humble or funny.
Everyone who is rich or calm is not rich and vice versa.
Everyone who is either kind or old is either rich or patient and vice versa.
If alice is either not happy or patient then someone is either not curious or tall and vice versa.
Everyone who is not kind ... | Susan is not creative. | entailment | (![X]:((happy(X)<~>quiet(X))=>(~humble(X)|funny(X))))&
(![X]:((rich(X)|calm(X))<=>~rich(X)))&
(![X]:((kind(X)<~>old(X))<=>(rich(X)<~>patient(X))))&
(((~happy(alice)<~>patient(alice)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(~happy(X)<~>funny(X))))&
(![X]:((~tall(X)|~brave(X))<=>(~patient(X... | ~creative(susan) | [
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2355653040622427381846877
% SZS output start Proof for 2355653040622427381846877
6. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (tall(X0) & ~patient(X0))) [input p5]
7. ! [X0] : ((~tall(X0) | brave(X0)) <=> (~quiet(X0) & ~brave(X0))) [input p6]
10. ? [X0] : (~creative(X0) <~> ~brave(X0)) => ? ... | 0 |
Everyone who is both patient and not brave is either not creative or not old and vice versa.
Everyone who is either brave or kind is either happy or brave.
Everyone who is not kind is both not humble and generous.
If susan is both not generous and generous then lucy is not wise or not funny.
Everyone who is either old ... | Susan is wise. | entailment | (![X]:((patient(X)&~brave(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((brave(X)<~>kind(X))=>(happy(X)<~>brave(X))))&
(![X]:(~kind(X)=>(~humble(X)&generous(X))))&
(((~generous(susan)&generous(susan)))=>((~wise(lucy)|~funny(lucy))))&
(![X]:((old(X)<~>~happy(X))=>happy(X)))&
(![X]:((quiet(X)&~brave(X))=>(~curious(X)|old(X)))... | wise(susan) | [
"p0",
"p1",
"p2",
"p4",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7609555856457217104688149
% SZS output start Proof for 7609555856457217104688149
1. ! [X0] : ((~brave(X0) & patient(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p0]
2. ! [X0] : ((brave(X0) <~> kind(X0)) => (happy(X0) <~> brave(X0))) [input p1]
3. ! [X0] : (~kind(X0) => (generous(X0) & ~h... | 0 |
If john is either not brave or not wise then mary is strong or brave. Everyone who is not calm or not funny is not happy or not calm. Everyone who is rich or humble is creative or generous and vice versa. Everyone who is both not strong and not patient is not strong or funny and vice versa. Everyone who is patient or n... | Susan is generous. | neutral | (((~brave(john)<~>~wise(john)))=>((strong(mary)|brave(mary))))&
(![X]:((~calm(X)|~funny(X))=>(~happy(X)|~calm(X))))&
(![X]:((rich(X)|humble(X))<=>(creative(X)|generous(X))))&
(![X]:((~strong(X)&~patient(X))<=>(~strong(X)|funny(X))))&
(![X]:((patient(X)|~curious(X))<=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))... | generous(susan) | [] | null | 0 |
If someone is wise then someone is old or not brave.
Everyone who is quiet is both wise and patient.
If someone is either not generous or not tall then john is either rich or not humble and vice versa.
If alice is not quiet then susan is either not tall or not kind and vice versa.
Everyone who is funny or creative is k... | Mary is not rich. | contradiction | ((?[X]:(wise(X)))=>(?[X]:((old(X)|~brave(X)))))&
(![X]:(quiet(X)=>(wise(X)&patient(X))))&
((?[X]:((~generous(X)<~>~tall(X))))<=>((rich(john)<~>~humble(john))))&
((~quiet(alice))<=>((~tall(susan)<~>~kind(susan))))&
(![X]:((funny(X)|creative(X))<=>kind(X)))&
(((calm(fred)<~>curious(fred)))=>((~tall(john)<~>~kind(john))))... | ~rich(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8287412932423494353187064
% SZS output start Proof for 8287412932423494353187064
9. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (old(X0) | ~old(X0))) [input p8]
25. ~rich(mary) [input hypothesis]
54. ! [X0] : (((rich(X0) & ~tall(X0)) | (~old(X0) & old(X0))) & ((old(X0) | ~old(X0)) | (~rich(X0) |... | 0 |
If someone is not creative or brave then someone is both wise and happy.
Everyone who is either brave or not strong is either not old or quiet and vice versa.
Everyone who is patient is tall or not quiet and vice versa.
Everyone who is both rich and not creative is either wise or creative and vice versa.
Everyone who i... | Fred is old. | entailment | ((?[X]:((~creative(X)|brave(X))))=>(?[X]:((wise(X)&happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(~old(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(tall(X)|~quiet(X))))&
(![X]:((rich(X)&~creative(X))<=>(wise(X)<~>creative(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((old(X)|strong(X))))<=>(?[X]:((... | old(fred) | [
"p2",
"p4",
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1374831299624024092702597
% SZS output start Proof for 1374831299624024092702597
3. ! [X0] : (patient(X0) <=> (~quiet(X0) | tall(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> (calm(X0) <~> funny(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(... | 0 |
Everyone who is both not funny and not calm is not creative or funny.
If alice is either not quiet or not wise then john is both wise and curious.
If someone is not old or not wise then someone is not kind and vice versa.
Everyone who is either not humble or wise is not brave and vice versa.
Everyone who is both not ol... | Susan is not funny. | neutral | (![X]:((~funny(X)&~calm(X))=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![X]:(~generous(X)=>(~curious(X)<~>humble(X))... | ~funny(susan) | [] | null | 0 |
If someone is either brave or old then paul is both old and not patient.
Everyone who is quiet is both not calm and old and vice versa.
Everyone who is both kind and not happy is brave and vice versa.
Everyone who is either happy or not humble is not funny or rich and vice versa.
Everyone who is not patient is happy an... | Fred is not generous. | neutral | ((?[X]:((brave(X)<~>old(X))))=>((old(paul)&~patient(paul))))&
(![X]:(quiet(X)<=>(~calm(X)&old(X))))&
(![X]:((kind(X)&~happy(X))<=>brave(X)))&
(![X]:((happy(X)<~>~humble(X))<=>(~funny(X)|rich(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((old(X)|wise(X))<=>tall(X)))&
(![X]:((~kind(X)|~generous(X))=>brave(X)))&
(![X]:((... | ~generous(fred) | [] | null | 0 |
Everyone who is not rich or happy is both not curious and kind and vice versa. Everyone who is either wise or curious is not funny or tall. Everyone who is both not old and not strong is either tall or brave. If someone is either not wise or not curious then paul is not creative. Everyone who is either not kind or pati... | John is humble. | entailment | (![X]:((~rich(X)|happy(X))<=>(~curious(X)&kind(X))))&
(![X]:((wise(X)<~>curious(X))=>(~funny(X)|tall(X))))&
(![X]:((~old(X)&~strong(X))=>(tall(X)<~>brave(X))))&
((?[X]:((~wise(X)<~>~curious(X))))=>(~creative(paul)))&
(![X]:((~kind(X)<~>patient(X))<=>(patient(X)&calm(X))))&
(![X]:(~patient(X)<=>(tall(X)&~funny(X))))&
(!... | humble(john) | [
"p0",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 45488864349848927258005
% SZS output start Proof for 45488864349848927258005
1. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (kind(X0) & ~curious(X0))) [input p0]
7. ! [X0] : ((~humble(X0) <~> calm(X0)) <=> (~creative(X0) & ~curious(X0))) [input p6]
8. ! [X0] : ((~patient(X0) | ~curious(X0)) => ... | 0 |
Everyone who is not calm or not happy is happy. If someone is both not kind and not brave then alice is both calm and not humble and vice versa. If mary is both not old and not generous then someone is not quiet or not strong and vice versa. Everyone who is either not kind or humble is not strong or not humble. If lucy... | Paul is not tall. | contradiction | (![X]:((~calm(X)|~happy(X))=>happy(X)))&
((?[X]:((~kind(X)&~brave(X))))<=>((calm(alice)&~humble(alice))))&
(((~old(mary)&~generous(mary)))<=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:((~kind(X)<~>humble(X))=>(~strong(X)|~humble(X))))&
(((~rich(lucy)|~quiet(lucy)))=>(?[X]:(~calm(X))))&
(![X]:(~patient(X)<=>(old(X)<~>tall(... | ~tall(paul) | [
"p0",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5912366279403273296586195
% SZS output start Proof for 5912366279403273296586195
1. ! [X0] : ((~happy(X0) | ~calm(X0)) => happy(X0)) [input p0]
13. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (~patient(X0) <~> tall(X0))) [input p12]
15. ! [X0] : ((~generous(X0) | generous(X0)) => (patient(X... | 0 |
Everyone who is both brave and not patient is tall.
Everyone who is either not generous or not happy is both creative and calm.
Everyone who is not funny or brave is either not quiet or not humble.
Everyone who is funny is both not old and generous and vice versa.
Everyone who is not funny is both not wise and patient ... | John is kind. | contradiction | (![X]:((brave(X)&~patient(X))=>tall(X)))&
(![X]:((~generous(X)<~>~happy(X))=>(creative(X)&calm(X))))&
(![X]:((~funny(X)|brave(X))=>(~quiet(X)<~>~humble(X))))&
(![X]:(funny(X)<=>(~old(X)&generous(X))))&
(![X]:(~funny(X)<=>(~wise(X)&patient(X))))&
((?[X]:((calm(X)<~>quiet(X))))=>((curious(mary)|~creative(mary))))&
(![X]:... | kind(john) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3608993884436752453132319
% SZS output start Proof for 3608993884436752453132319
10. ! [X0] : ((~humble(X0) & patient(X0)) <=> humble(X0)) [input p9]
13. ! [X0] : ((~patient(X0) <~> kind(X0)) <=> (~patient(X0) | ~creative(X0))) [input p12]
24. kind(john) [input hypothesis]
50. ! [X0] : ((... | 0 |
Everyone who is not strong or not kind is both brave and not creative.
Everyone who is creative is both not happy and strong.
Everyone who is either curious or not funny is old.
If alice is not strong or not generous then someone is kind or not tall.
If mary is not wise then someone is both not tall and not wise.
Every... | Fred is not old. | neutral | (![X]:((~strong(X)|~kind(X))=>(brave(X)&~creative(X))))&
(![X]:(creative(X)=>(~happy(X)&strong(X))))&
(![X]:((curious(X)<~>~funny(X))=>old(X)))&
(((~strong(alice)|~generous(alice)))=>(?[X]:((kind(X)|~tall(X)))))&
((~wise(mary))=>(?[X]:((~tall(X)&~wise(X)))))&
(![X]:(old(X)<=>(~strong(X)&curious(X))))&
(![X]:(brave(X)=>... | ~old(fred) | [] | null | 0 |
Everyone who is rich is both not generous and not humble and vice versa.
If lucy is tall then someone is either not calm or kind and vice versa.
If mary is both generous and not kind then alice is both not kind and happy and vice versa.
Everyone who is not calm is both not strong and not patient.
Everyone who is both n... | Paul is not happy. | neutral | (![X]:(rich(X)<=>(~generous(X)&~humble(X))))&
((tall(lucy))<=>(?[X]:((~calm(X)<~>kind(X)))))&
(((generous(mary)&~kind(mary)))<=>((~kind(alice)&happy(alice))))&
(![X]:(~calm(X)=>(~strong(X)&~patient(X))))&
(![X]:((~generous(X)&wise(X))=>(~funny(X)&humble(X))))&
(![X]:((~funny(X)|calm(X))=>(humble(X)<~>tall(X))))&
((?[X]... | ~happy(paul) | [] | null | 0 |
If someone is both not curious and strong then mary is creative and vice versa.
Everyone who is not funny is not old or not quiet.
If someone is both wise and strong then someone is both not brave and not quiet.
If someone is both not wise and not funny then mary is both tall and not old and vice versa.
Everyone who is... | Susan is not funny. | neutral | ((?[X]:((~curious(X)&strong(X))))<=>(creative(mary)))&
(![X]:(~funny(X)=>(~old(X)|~quiet(X))))&
((?[X]:((wise(X)&strong(X))))=>(?[X]:((~brave(X)&~quiet(X)))))&
((?[X]:((~wise(X)&~funny(X))))<=>((tall(mary)&~old(mary))))&
(![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))&
(![X]:((ha... | ~funny(susan) | [] | null | 0 |
Everyone who is either generous or not wise is both not curious and not patient.
Everyone who is either quiet or not happy is strong or not funny and vice versa.
Everyone who is not wise or creative is both patient and not creative and vice versa.
Everyone who is not humble is calm or funny.
If susan is both generous a... | John is generous. | neutral | (![X]:((generous(X)<~>~wise(X))=>(~curious(X)&~patient(X))))&
(![X]:((quiet(X)<~>~happy(X))<=>(strong(X)|~funny(X))))&
(![X]:((~wise(X)|creative(X))<=>(patient(X)&~creative(X))))&
(![X]:(~humble(X)=>(calm(X)|funny(X))))&
(((generous(susan)&tall(susan)))=>(?[X]:(happy(X))))&
((?[X]:((~humble(X)&funny(X))))=>(?[X]:((humb... | generous(john) | [] | null | 0 |
Everyone who is not funny or not tall is generous or creative and vice versa.
If alice is not generous or not brave then someone is patient.
If someone is not funny then someone is both wise and not brave.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and n... | Paul is not creative. | neutral | (![X]:((~funny(X)|~tall(X))<=>(generous(X)|creative(X))))&
(((~generous(alice)|~brave(alice)))=>(?[X]:(patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(!... | ~creative(paul) | [] | null | 0 |
If someone is not humble or not wise then susan is not wise and vice versa.
Everyone who is both creative and brave is either kind or rich.
If lucy is both not patient and happy then fred is creative.
Everyone who is both not tall and not calm is both rich and not wise and vice versa.
Everyone who is quiet is happy and... | Lucy is not curious. | neutral | ((?[X]:((~humble(X)|~wise(X))))<=>(~wise(susan)))&
(![X]:((creative(X)&brave(X))=>(kind(X)<~>rich(X))))&
(((~patient(lucy)&happy(lucy)))=>(creative(fred)))&
(![X]:((~tall(X)&~calm(X))<=>(rich(X)&~wise(X))))&
(![X]:(quiet(X)<=>happy(X)))&
(![X]:((~quiet(X)|~generous(X))=>(strong(X)<~>~brave(X))))&
(![X]:((~generous(X)<~... | ~curious(lucy) | [] | null | 0 |
Everyone who is either not brave or funny is rich. Everyone who is both rich and generous is not old. If paul is not quiet then someone is both not rich and rich. Everyone who is both creative and generous is either not curious or not calm. If someone is either not kind or strong then mary is tall or humble and vice ve... | Fred is not happy. | contradiction | (![X]:((~brave(X)<~>funny(X))=>rich(X)))&
(![X]:((rich(X)&generous(X))=>~old(X)))&
((~quiet(paul))=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((creative(X)&generous(X))=>(~curious(X)<~>~calm(X))))&
((?[X]:((~kind(X)<~>strong(X))))<=>((tall(mary)|humble(mary))))&
((?[X]:((~creative(X)&humble(X))))=>(creative(mary)))&
(![X]:((... | ~happy(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 466163927507874670674176
% SZS output start Proof for 466163927507874670674176
7. ! [X0] : ((generous(X0) & ~generous(X0)) <=> (~patient(X0) | ~happy(X0))) [input p6]
21. ~happy(fred) [input hypothesis]
44. ! [X0] : (((generous(X0) & ~generous(X0)) | (patient(X0) & happy(X0))) & ((~patien... | 0 |
If fred is not tall then someone is not kind or kind and vice versa. Everyone who is rich or not happy is either not curious or not calm and vice versa. Everyone who is calm is either curious or strong. If mary is curious or kind then paul is not patient. Everyone who is not strong or patient is not generous and vice v... | Lucy is not wise. | neutral | ((~tall(fred))<=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:((rich(X)|~happy(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:(calm(X)=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~humbl... | ~wise(lucy) | [] | null | 0 |
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