premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is curious or not curious then susan is funny or tall and vice versa. Everyone who is strong or not quiet is not quiet. Everyone who is either not old or not quiet is both not rich and wise. Everyone who is strong or not happy is both rich and patient. Everyone who is not kind or not tall is not happy and vi... | John is not strong. | entailment | ((?[X]:((curious(X)|~curious(X))))<=>((funny(susan)|tall(susan))))&
(![X]:((strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((~old(X)<~>~quiet(X))=>(~rich(X)&wise(X))))&
(![X]:((strong(X)|~happy(X))=>(rich(X)&patient(X))))&
(![X]:((~kind(X)|~tall(X))<=>~happy(X)))&
(![X]:(~funny(X)<=>~old(X)))&
(((generous(lucy)&~happy(lucy))... | ~strong(john) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 603874198722454154315190
% SZS output start Proof for 603874198722454154315190
4. ! [X0] : ((~happy(X0) | strong(X0)) => (patient(X0) & rich(X0))) [input p3]
16. ! [X0] : ((patient(X0) | generous(X0)) <=> ~patient(X0)) [input p15]
23. strong(john) [input hypothesis]
29. ! [X0] : ((patient... | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Lucy is calm. | entailment | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | calm(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1097501622279863750128754
% SZS output start Proof for 1097501622279863750128754
2. ! [X0] : ((kind(X0) & curious(X0)) <=> (happy(X0) | ~quiet(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~patient(X0)) => (~quiet(X0) <~> humble(X0))) [input p3]
5. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> ... | 0 |
If someone is either not wise or patient then alice is curious. Everyone who is either quiet or creative is both funny and tall and vice versa. Everyone who is either generous or quiet is brave and vice versa. If alice is both not humble and happy then someone is not tall or happy and vice versa. Everyone who is either... | Alice is tall. | entailment | ((?[X]:((~wise(X)<~>patient(X))))=>(curious(alice)))&
(![X]:((quiet(X)<~>creative(X))<=>(funny(X)&tall(X))))&
(![X]:((generous(X)<~>quiet(X))<=>brave(X)))&
(((~humble(alice)&happy(alice)))<=>(?[X]:((~tall(X)|happy(X)))))&
(![X]:((~tall(X)<~>old(X))<=>(~kind(X)|~calm(X))))&
((?[X]:(~calm(X)))=>(?[X]:(old(X))))&
((?[X]:(... | tall(alice) | [
"p3",
"p4",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5399696126718786344150390
% SZS output start Proof for 5399696126718786344150390
4. (happy(alice) & ~humble(alice)) <=> ? [X0] : (happy(X0) | ~tall(X0)) [input p3]
5. ! [X0] : ((~tall(X0) <~> old(X0)) <=> (~calm(X0) | ~kind(X0))) [input p4]
15. ! [X0] : ((~old(X0) & ~kind(X0)) <=> (kind(X... | 0 |
If fred is not humble then lucy is not brave and vice versa.
Everyone who is either not generous or not funny is patient or funny and vice versa.
If someone is calm or generous then someone is brave or not rich.
If someone is creative or brave then alice is both not humble and creative and vice versa.
Everyone who is n... | Paul is not tall. | entailment | ((~humble(fred))<=>(~brave(lucy)))&
(![X]:((~generous(X)<~>~funny(X))<=>(patient(X)|funny(X))))&
((?[X]:((calm(X)|generous(X))))=>(?[X]:((brave(X)|~rich(X)))))&
((?[X]:((creative(X)|brave(X))))<=>((~humble(alice)&creative(alice))))&
(![X]:((~curious(X)|~quiet(X))<=>funny(X)))&
(![X]:((rich(X)&generous(X))=>~humble(X)))... | ~tall(paul) | [
"p1",
"p4",
"p8",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 535484946887214316545862
% SZS output start Proof for 535484946887214316545862
2. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> (funny(X0) | patient(X0))) [input p1]
5. ! [X0] : ((~quiet(X0) | ~curious(X0)) <=> funny(X0)) [input p4]
9. ! [X0] : (patient(X0) <=> quiet(X0)) [input p8]
13. ! ... | 0 |
If mary is either not humble or not brave then someone is both curious and not old. Everyone who is both generous and not creative is not wise and vice versa. Everyone who is both not wise and not brave is either calm or not generous. Everyone who is not brave is both humble and kind and vice versa. Everyone who is fun... | John is not rich. | neutral | (((~humble(mary)<~>~brave(mary)))=>(?[X]:((curious(X)&~old(X)))))&
(![X]:((generous(X)&~creative(X))<=>~wise(X)))&
(![X]:((~wise(X)&~brave(X))=>(calm(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>(humble(X)&kind(X))))&
(![X]:((funny(X)|humble(X))=>(quiet(X)<~>~generous(X))))&
(((kind(mary)&strong(mary)))<=>(?[X]:((quiet(X)&... | ~rich(john) | [] | null | 0 |
Everyone who is not strong or not creative is brave or not old and vice versa.
Everyone who is either not funny or not kind is not kind and vice versa.
If someone is not creative or calm then someone is not old or not brave and vice versa.
Everyone who is both quiet and not curious is either brave or not quiet and vice... | Fred is not strong. | entailment | (![X]:((~strong(X)|~creative(X))<=>(brave(X)|~old(X))))&
(![X]:((~funny(X)<~>~kind(X))<=>~kind(X)))&
((?[X]:((~creative(X)|calm(X))))<=>(?[X]:((~old(X)|~brave(X)))))&
(![X]:((quiet(X)&~curious(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:((brave(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((kind(X)|~generous(X))=>(~happy(X)|patien... | ~strong(fred) | [
"p1",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 916360303990810201093578
% SZS output start Proof for 916360303990810201093578
2. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> ~kind(X0)) [input p1]
9. ! [X0] : ((~kind(X0) <~> ~brave(X0)) <=> (strong(X0) | ~generous(X0))) [input p8]
12. ! [X0] : ((~strong(X0) <~> funny(X0)) => (~brave(X0) & ... | 0 |
Everyone who is both not strong and humble is both not humble and not strong and vice versa. Everyone who is creative or patient is both patient and happy. Everyone who is not happy is not creative or not kind and vice versa. If alice is not tall or not creative then someone is both not humble and funny. Everyone who i... | John is curious. | entailment | (![X]:((~strong(X)&humble(X))<=>(~humble(X)&~strong(X))))&
(![X]:((creative(X)|patient(X))=>(patient(X)&happy(X))))&
(![X]:(~happy(X)<=>(~creative(X)|~kind(X))))&
(((~tall(alice)|~creative(alice)))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((creative(X)|strong(X))=>(happy(X)&~quiet(X))))&
(((~generous(paul)&tall(paul)))=... | curious(john) | [
"p0",
"p2",
"p4",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2458764976805468085922980
% SZS output start Proof for 2458764976805468085922980
1. ! [X0] : ((humble(X0) & ~strong(X0)) <=> (~strong(X0) & ~humble(X0))) [input p0]
3. ! [X0] : (~happy(X0) <=> (~kind(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((strong(X0) | creative(X0)) => (~quiet(X0) ... | 0 |
Everyone who is curious or quiet is either generous or humble.
If susan is either not humble or not strong then someone is wise or curious.
Everyone who is either humble or generous is not quiet and vice versa.
If susan is either not happy or not wise then susan is not brave.
If mary is both old and not generous then s... | Susan is not quiet. | entailment | (![X]:((curious(X)|quiet(X))=>(generous(X)<~>humble(X))))&
(((~humble(susan)<~>~strong(susan)))=>(?[X]:((wise(X)|curious(X)))))&
(![X]:((humble(X)<~>generous(X))<=>~quiet(X)))&
(((~happy(susan)<~>~wise(susan)))=>(~brave(susan)))&
(((old(mary)&~generous(mary)))<=>(?[X]:((happy(X)&old(X)))))&
((?[X]:(generous(X)))=>((~ki... | ~quiet(susan) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5228302965410576203553520
% SZS output start Proof for 5228302965410576203553520
1. ! [X0] : ((quiet(X0) | curious(X0)) => (generous(X0) <~> humble(X0))) [input p0]
3. ! [X0] : ((humble(X0) <~> generous(X0)) <=> ~quiet(X0)) [input p2]
25. quiet(susan) [input hypothesis]
30. ! [X0] : ((gen... | 0 |
Everyone who is either funny or not generous is either old or not brave and vice versa.
If someone is not generous or not happy then john is not wise or not rich and vice versa.
Everyone who is both not kind and not generous is creative and vice versa.
If someone is either tall or rich then alice is both not happy and ... | John is funny. | neutral | (![X]:((funny(X)<~>~generous(X))<=>(old(X)<~>~brave(X))))&
((?[X]:((~generous(X)|~happy(X))))<=>((~wise(john)|~rich(john))))&
(![X]:((~kind(X)&~generous(X))<=>creative(X)))&
((?[X]:((tall(X)<~>rich(X))))=>((~happy(alice)&creative(alice))))&
((~creative(paul))<=>(?[X]:(brave(X))))&
((?[X]:((humble(X)<~>~wise(X))))=>((~c... | funny(john) | [] | null | 0 |
If someone is strong then someone is either humble or not funny and vice versa.
If fred is both not brave and not wise then someone is not wise or not creative.
Everyone who is not calm or not curious is either old or rich and vice versa.
Everyone who is generous or not humble is strong or happy.
Everyone who is patien... | Susan is calm. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((~brave(fred)&~wise(fred)))=>(?[X]:((~wise(X)|~creative(X)))))&
(![X]:((~calm(X)|~curious(X))<=>(old(X)<~>rich(X))))&
(![X]:((generous(X)|~humble(X))=>(strong(X)|happy(X))))&
(![X]:((patient(X)|brave(X))=>(~humble(X)&quiet(X))))&
(![X]:(~generous(X)<=>~old(X)))... | calm(susan) | [
"p2",
"p3",
"p4",
"p5",
"p10",
"p13",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3392110236334657531979896
% SZS output start Proof for 3392110236334657531979896
3. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (old(X0) <~> rich(X0))) [input p2]
4. ! [X0] : ((~humble(X0) | generous(X0)) => (happy(X0) | strong(X0))) [input p3]
5. ! [X0] : ((brave(X0) | patient(X0)) => (quie... | 0 |
If lucy is kind or generous then lucy is funny.
If someone is either old or funny then someone is both calm and not calm.
If alice is not tall then fred is both not generous and not rich and vice versa.
If paul is either not calm or not rich then paul is either humble or creative and vice versa.
Everyone who is either ... | Paul is not curious. | contradiction | (((kind(lucy)|generous(lucy)))=>(funny(lucy)))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:((calm(X)&~calm(X)))))&
((~tall(alice))<=>((~generous(fred)&~rich(fred))))&
(((~calm(paul)<~>~rich(paul)))<=>((humble(paul)<~>creative(paul))))&
(![X]:((~brave(X)<~>kind(X))<=>funny(X)))&
(![X]:(brave(X)<=>(~tall(X)<~>quiet(X))))&
(![X... | ~curious(paul) | [
"p1",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5996327353025217809916998
% SZS output start Proof for 5996327353025217809916998
2. ? [X0] : (old(X0) <~> funny(X0)) => ? [X0] : (~calm(X0) & calm(X0)) [input p1]
9. ! [X0] : ((tall(X0) | funny(X0)) <=> (~curious(X0) <~> old(X0))) [input p8]
16. (old(paul) | ~tall(paul)) <=> ? [X0] : (~fu... | 0 |
If someone is not wise or not calm then someone is either funny or happy.
Everyone who is both not patient and quiet is both generous and not quiet.
Everyone who is calm is either old or not creative.
If fred is both calm and not brave then someone is not strong or not happy and vice versa.
Everyone who is either brave... | Fred is not curious. | neutral | ((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((~patient(X)&quiet(X))=>(generous(X)&~quiet(X))))&
(![X]:(calm(X)=>(old(X)<~>~creative(X))))&
(((calm(fred)&~brave(fred)))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(quiet(X)|~old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)... | ~curious(fred) | [] | null | 0 |
Everyone who is both not quiet and generous is old or not creative and vice versa. Everyone who is both not old and not generous is either not happy or not generous. Everyone who is either brave or not tall is either not old or not rich and vice versa. Everyone who is creative is not strong or kind. If alice is not fun... | Alice is calm. | contradiction | (![X]:((~quiet(X)&generous(X))<=>(old(X)|~creative(X))))&
(![X]:((~old(X)&~generous(X))=>(~happy(X)<~>~generous(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(creative(X)=>(~strong(X)|kind(X))))&
(((~funny(alice)|rich(alice)))=>(patient(fred)))&
(((old(alice)&~creative(alice)))<=>(?[X]:((happy(X)|... | calm(alice) | [
"p0",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 606447038877658218127118
% SZS output start Proof for 606447038877658218127118
1. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> (~creative(X0) | old(X0))) [input p0]
6. (~creative(alice) & old(alice)) <=> ? [X0] : (~kind(X0) | happy(X0)) [input p5]
7. ! [X0] : ((~calm(X0) <~> generous(X0)) <=... | 0 |
If mary is brave then lucy is both not quiet and rich and vice versa.
If someone is curious or calm then someone is not quiet or not wise.
If someone is not old or not humble then fred is either not generous or creative.
If mary is both curious and patient then someone is either not quiet or not generous and vice versa... | Fred is quiet. | contradiction | ((brave(mary))<=>((~quiet(lucy)&rich(lucy))))&
((?[X]:((curious(X)|calm(X))))=>(?[X]:((~quiet(X)|~wise(X)))))&
((?[X]:((~old(X)|~humble(X))))=>((~generous(fred)<~>creative(fred))))&
(((curious(mary)&patient(mary)))<=>(?[X]:((~quiet(X)<~>~generous(X)))))&
(![X]:((~quiet(X)|strong(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:(ca... | quiet(fred) | [
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1411375808304564216729823
% SZS output start Proof for 1411375808304564216729823
11. ! [X0] : ((~brave(X0) & quiet(X0)) => (~quiet(X0) <~> brave(X0))) [input p10]
15. ! [X0] : ((brave(X0) | happy(X0)) => ~brave(X0)) [input p14]
23. quiet(fred) [input hypothesis]
36. ! [X0] : ((~quiet(X0) ... | 0 |
Everyone who is both not creative and tall is brave or not wise and vice versa.
If someone is both not calm and rich then someone is both brave and not generous.
If someone is both not wise and not tall then john is both strong and humble and vice versa.
Everyone who is either patient or not patient is either not kind ... | Lucy is not funny. | neutral | (![X]:((~creative(X)&tall(X))<=>(brave(X)|~wise(X))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:((brave(X)&~generous(X)))))&
((?[X]:((~wise(X)&~tall(X))))<=>((strong(john)&humble(john))))&
(![X]:((patient(X)<~>~patient(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(~kind(X)<~>kind(X))))&
(((~patient(mary)&~kin... | ~funny(lucy) | [] | null | 0 |
If someone is either calm or humble then alice is happy or not funny.
If someone is both happy and tall then paul is old or not generous.
Everyone who is both not humble and not calm is either not funny or strong and vice versa.
Everyone who is not old is patient.
Everyone who is not calm is not brave and vice versa.
I... | Susan is creative. | neutral | ((?[X]:((calm(X)<~>humble(X))))=>((happy(alice)|~funny(alice))))&
((?[X]:((happy(X)&tall(X))))=>((old(paul)|~generous(paul))))&
(![X]:((~humble(X)&~calm(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:(~calm(X)<=>~brave(X)))&
((?[X]:((calm(X)<~>rich(X))))=>(?[X]:(quiet(X))))&
(![X]:((tall(X)&brave(... | creative(susan) | [] | null | 0 |
If someone is not generous then someone is creative or brave.
If mary is strong then someone is not patient or happy.
Everyone who is not quiet or not curious is either not brave or curious and vice versa.
If someone is both curious and not generous then someone is both not humble and brave.
Everyone who is funny or no... | Lucy is not rich. | contradiction | ((?[X]:(~generous(X)))=>(?[X]:((creative(X)|brave(X)))))&
((strong(mary))=>(?[X]:((~patient(X)|happy(X)))))&
(![X]:((~quiet(X)|~curious(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((curious(X)&~generous(X))))=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((funny(X)|~patient(X))=>(~kind(X)<~>curious(X))))&
(((~quiet(mary)|patien... | ~rich(lucy) | [
"p2",
"p8",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 581737407874364946168369
% SZS output start Proof for 581737407874364946168369
3. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> (~brave(X0) <~> curious(X0))) [input p2]
9. ! [X0] : (rich(X0) <=> ~brave(X0)) [input p8]
12. ! [X0] : (~creative(X0) <=> (curious(X0) <~> kind(X0))) [input p11]
24.... | 0 |
Everyone who is not patient is either strong or creative. If mary is tall then susan is not humble or not kind. If someone is calm then someone is not brave. Everyone who is not happy is not creative. Everyone who is not strong or not kind is patient. Everyone who is either rich or calm is either not happy or generous.... | Mary is calm. | entailment | (![X]:(~patient(X)=>(strong(X)<~>creative(X))))&
((tall(mary))=>((~humble(susan)|~kind(susan))))&
((?[X]:(calm(X)))=>(?[X]:(~brave(X))))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~strong(X)|~kind(X))=>patient(X)))&
(![X]:((rich(X)<~>calm(X))=>(~happy(X)<~>generous(X))))&
(![X]:((~rich(X)|creative(X))=>(humble(X)<~>pat... | calm(mary) | [
"p4",
"p6",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5034569328193633983370618
% SZS output start Proof for 5034569328193633983370618
5. ! [X0] : ((~kind(X0) | ~strong(X0)) => patient(X0)) [input p4]
7. ! [X0] : ((creative(X0) | ~rich(X0)) => (humble(X0) <~> patient(X0))) [input p6]
10. ! [X0] : ((creative(X0) | generous(X0)) => humble(X0))... | 0 |
Everyone who is either not patient or brave is rich or kind. Everyone who is both not generous and happy is both calm and wise. Everyone who is either wise or not curious is either not wise or generous. Everyone who is both kind and creative is both not kind and funny and vice versa. Everyone who is either kind or tall... | Fred is funny. | entailment | (![X]:((~patient(X)<~>brave(X))=>(rich(X)|kind(X))))&
(![X]:((~generous(X)&happy(X))=>(calm(X)&wise(X))))&
(![X]:((wise(X)<~>~curious(X))=>(~wise(X)<~>generous(X))))&
(![X]:((kind(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((kind(X)<~>tall(X))=>~old(X)))&
(![X]:((~funny(X)|creative(X))<=>(brave(X)&old(X))))&
(![X]:... | funny(fred) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5032872473257376896453168
% SZS output start Proof for 5032872473257376896453168
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> (old(X0) & brave(X0))) [input p5]
12. ! [X0] : (old(X0) <=> (~humble(X0) & funny(X0))) [input p11]
25. ~funny(fred) [input hypothesis]
43. ! [X0] : (((creative(X0)... | 0 |
If someone is both curious and not creative then john is either quiet or not kind. Everyone who is either curious or creative is both kind and humble. Everyone who is not tall is either not rich or rich. Everyone who is both not curious and humble is both not happy and humble and vice versa. If susan is either tall or ... | Paul is generous. | neutral | ((?[X]:((curious(X)&~creative(X))))=>((quiet(john)<~>~kind(john))))&
(![X]:((curious(X)<~>creative(X))=>(kind(X)&humble(X))))&
(![X]:(~tall(X)=>(~rich(X)<~>rich(X))))&
(![X]:((~curious(X)&humble(X))<=>(~happy(X)&humble(X))))&
(((tall(susan)<~>humble(susan)))=>(?[X]:((funny(X)&~calm(X)))))&
(![X]:((quiet(X)<~>brave(X))<... | generous(paul) | [] | null | 0 |
Everyone who is both not generous and funny is either generous or not funny. Everyone who is either kind or not funny is not calm or funny and vice versa. If someone is not humble or old then someone is creative. If john is either not curious or not happy then susan is either not generous or not humble. Everyone who is... | John is calm. | neutral | (![X]:((~generous(X)&funny(X))=>(generous(X)<~>~funny(X))))&
(![X]:((kind(X)<~>~funny(X))<=>(~calm(X)|funny(X))))&
((?[X]:((~humble(X)|old(X))))=>(?[X]:(creative(X))))&
(((~curious(john)<~>~happy(john)))=>((~generous(susan)<~>~humble(susan))))&
(![X]:((strong(X)&~quiet(X))=>~tall(X)))&
(![X]:((humble(X)&~curious(X))<=>... | calm(john) | [] | null | 0 |
If someone is not kind then someone is either curious or brave and vice versa.
Everyone who is either not funny or not humble is both not generous and happy.
Everyone who is either not patient or brave is either tall or humble.
If someone is not calm then someone is both not humble and funny.
If someone is both kind an... | Mary is old. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((curious(X)<~>brave(X)))))&
(![X]:((~funny(X)<~>~humble(X))=>(~generous(X)&happy(X))))&
(![X]:((~patient(X)<~>brave(X))=>(tall(X)<~>humble(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~humble(X)&funny(X)))))&
((?[X]:((kind(X)&~old(X))))<=>(curious(paul)))&
(![X]:((~strong(X)&~funny(X))=>(humble(X)|kin... | old(mary) | [] | null | 0 |
Everyone who is not strong or quiet is rich or strong and vice versa.
If fred is brave or generous then susan is either kind or rich.
Everyone who is old or tall is kind and vice versa.
Everyone who is both wise and not humble is kind and vice versa.
If john is funny or not curious then someone is both not calm and not... | Lucy is old. | contradiction | (![X]:((~strong(X)|quiet(X))<=>(rich(X)|strong(X))))&
(((brave(fred)|generous(fred)))=>((kind(susan)<~>rich(susan))))&
(![X]:((old(X)|tall(X))<=>kind(X)))&
(![X]:((wise(X)&~humble(X))<=>kind(X)))&
(((funny(john)|~curious(john)))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(creative(X)<~>tall(X))... | old(lucy) | [
"p2",
"p5",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5880475893593998975438720
% SZS output start Proof for 5880475893593998975438720
3. ! [X0] : ((tall(X0) | old(X0)) <=> kind(X0)) [input p2]
6. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (creative(X0) <~> tall(X0))) [input p5]
7. ! [X0] : ((~happy(X0) & kind(X0)) <=> (happy(X0) | generous(X... | 0 |
Everyone who is not funny or not tall is either not strong or not patient and vice versa.
Everyone who is curious is both not old and not tall.
Everyone who is not wise is either not brave or not rich and vice versa.
Everyone who is not rich or not quiet is wise or old and vice versa.
Everyone who is either brave or ca... | Paul is not patient. | neutral | (![X]:((~funny(X)|~tall(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:(curious(X)=>(~old(X)&~tall(X))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(wise(X)|old(X))))&
(![X]:((brave(X)<~>calm(X))<=>(humble(X)<~>creative(X))))&
(((funny(mary)&patient(mary)))=>(~kind(paul)))&
((happy(fred))<=>(... | ~patient(paul) | [] | null | 0 |
If alice is not quiet then someone is not strong or not funny and vice versa.
Everyone who is not brave or old is either patient or rich.
If someone is quiet then fred is either rich or tall.
If john is funny then someone is both old and not calm and vice versa.
If lucy is brave or calm then susan is creative and vice ... | John is curious. | entailment | ((~quiet(alice))<=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:((~brave(X)|old(X))=>(patient(X)<~>rich(X))))&
((?[X]:(quiet(X)))=>((rich(fred)<~>tall(fred))))&
((funny(john))<=>(?[X]:((old(X)&~calm(X)))))&
(((brave(lucy)|calm(lucy)))<=>(creative(susan)))&
(![X]:((strong(X)&calm(X))<=>(~generous(X)|~rich(X))))&
(![X]:((quie... | curious(john) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5845661420096409793246842
% SZS output start Proof for 5845661420096409793246842
2. ! [X0] : ((old(X0) | ~brave(X0)) => (patient(X0) <~> rich(X0))) [input p1]
4. funny(john) <=> ? [X0] : (~calm(X0) & old(X0)) [input p3]
6. ! [X0] : ((calm(X0) & strong(X0)) <=> (~rich(X0) | ~generous(X0)))... | 0 |
Everyone who is both calm and funny is strong or not curious and vice versa.
If someone is not rich or calm then susan is curious or not curious.
If someone is either brave or quiet then lucy is either strong or tall and vice versa.
If someone is brave then paul is not happy or strong and vice versa.
If alice is genero... | Susan is strong. | neutral | (![X]:((calm(X)&funny(X))<=>(strong(X)|~curious(X))))&
((?[X]:((~rich(X)|calm(X))))=>((curious(susan)|~curious(susan))))&
((?[X]:((brave(X)<~>quiet(X))))<=>((strong(lucy)<~>tall(lucy))))&
((?[X]:(brave(X)))<=>((~happy(paul)|strong(paul))))&
(((generous(alice)|~kind(alice)))<=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((f... | strong(susan) | [] | null | 0 |
Everyone who is either not curious or wise is either kind or rich and vice versa.
If someone is either not kind or wise then someone is calm and vice versa.
If someone is not happy then someone is creative or brave and vice versa.
If john is both happy and creative then fred is not humble or not calm and vice versa.
If... | Fred is not calm. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(kind(X)<~>rich(X))))&
((?[X]:((~kind(X)<~>wise(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((creative(X)|brave(X)))))&
(((happy(john)&creative(john)))<=>((~humble(fred)|~calm(fred))))&
((~generous(mary))=>(~patient(john)))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:((~generous(X)|... | ~calm(fred) | [
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 548437279319975724152953
% SZS output start Proof for 548437279319975724152953
2. ? [X0] : (~kind(X0) <~> wise(X0)) <=> ? [X0] : calm(X0) [input p1]
7. ! [X0] : ((wise(X0) & brave(X0)) <=> ~wise(X0)) [input p6]
11. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (humble(X0) | ~brave(X0))) [input... | 0 |
If someone is both not wise and quiet then mary is wise.
If mary is both quiet and not patient then someone is both not curious and not wise.
Everyone who is either not humble or brave is both not tall and brave.
Everyone who is either humble or rich is either creative or quiet and vice versa.
If mary is both not stron... | Susan is strong. | entailment | ((?[X]:((~wise(X)&quiet(X))))=>(wise(mary)))&
(((quiet(mary)&~patient(mary)))=>(?[X]:((~curious(X)&~wise(X)))))&
(![X]:((~humble(X)<~>brave(X))=>(~tall(X)&brave(X))))&
(![X]:((humble(X)<~>rich(X))<=>(creative(X)<~>quiet(X))))&
(((~strong(mary)&patient(mary)))=>(?[X]:((rich(X)|~old(X)))))&
(((~wise(mary)&~generous(mary)... | strong(susan) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7120440710963025848277342
% SZS output start Proof for 7120440710963025848277342
7. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> happy(X0)) [input p6]
9. ! [X0] : ((~strong(X0) | creative(X0)) => (creative(X0) & happy(X0))) [input p8]
25. ~strong(susan) [input hypothesis]
35. ! [X0] : ((creati... | 0 |
Everyone who is not funny or old is both not creative and not old and vice versa.
If someone is either not curious or not wise then fred is quiet or not strong.
Everyone who is both not curious and not strong is not humble and vice versa.
Everyone who is happy or old is both generous and strong.
If someone is either wi... | John is not tall. | neutral | (![X]:((~funny(X)|old(X))<=>(~creative(X)&~old(X))))&
((?[X]:((~curious(X)<~>~wise(X))))=>((quiet(fred)|~strong(fred))))&
(![X]:((~curious(X)&~strong(X))<=>~humble(X)))&
(![X]:((happy(X)|old(X))=>(generous(X)&strong(X))))&
((?[X]:((wise(X)<~>~calm(X))))<=>(?[X]:((kind(X)&~brave(X)))))&
(((~curious(susan)|generous(susan... | ~tall(john) | [] | null | 0 |
If someone is humble or not funny then paul is either rich or not funny and vice versa.
Everyone who is both not generous and not creative is humble.
Everyone who is not generous or not brave is old or happy and vice versa.
If someone is both quiet and not calm then mary is not calm and vice versa.
If fred is both brav... | John is not wise. | entailment | ((?[X]:((humble(X)|~funny(X))))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~generous(X)&~creative(X))=>humble(X)))&
(![X]:((~generous(X)|~brave(X))<=>(old(X)|happy(X))))&
((?[X]:((quiet(X)&~calm(X))))<=>(~calm(mary)))&
(((brave(fred)&~patient(fred)))=>((~patient(alice)&old(alice))))&
(![X]:((calm(X)|~happy(X))=>patient(... | ~wise(john) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1800262999422732921246903
% SZS output start Proof for 1800262999422732921246903
7. ! [X0] : ((~tall(X0) | wise(X0)) <=> (~happy(X0) & wise(X0))) [input p6]
8. ! [X0] : (wise(X0) => (generous(X0) & happy(X0))) [input p7]
22. wise(john) [input hypothesis]
28. ! [X0] : ((generous(X0) & happ... | 0 |
If mary is not wise then susan is not brave and vice versa. Everyone who is either not quiet or humble is both happy and kind and vice versa. If fred is both not calm and curious then alice is not kind and vice versa. Everyone who is tall is either calm or not humble. Everyone who is either not generous or curious is b... | Susan is kind. | contradiction | ((~wise(mary))<=>(~brave(susan)))&
(![X]:((~quiet(X)<~>humble(X))<=>(happy(X)&kind(X))))&
(((~calm(fred)&curious(fred)))<=>(~kind(alice)))&
(![X]:(tall(X)=>(calm(X)<~>~humble(X))))&
(![X]:((~generous(X)<~>curious(X))=>(~rich(X)&~generous(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)&~happy(X))))&
(![X]:(~brave(X)=... | kind(susan) | [
"p1",
"p5",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4491244480425059715533922
% SZS output start Proof for 4491244480425059715533922
2. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (kind(X0) & happy(X0))) [input p1]
6. ! [X0] : ((~kind(X0) <~> brave(X0)) <=> (~happy(X0) & ~patient(X0))) [input p5]
7. ! [X0] : (~brave(X0) => (patient(X0) & ~ki... | 0 |
If someone is not calm or tall then susan is not quiet or creative and vice versa.
Everyone who is creative or not generous is either patient or calm and vice versa.
Everyone who is both brave and creative is not quiet or not humble and vice versa.
Everyone who is curious is not patient or old.
If someone is not happy ... | Paul is not brave. | entailment | ((?[X]:((~calm(X)|tall(X))))<=>((~quiet(susan)|creative(susan))))&
(![X]:((creative(X)|~generous(X))<=>(patient(X)<~>calm(X))))&
(![X]:((brave(X)&creative(X))<=>(~quiet(X)|~humble(X))))&
(![X]:(curious(X)=>(~patient(X)|old(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(?[X]:((calm(X)|~tall(X)))))&
((~creative(john))=>((wis... | ~brave(paul) | [
"p7",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4369611439523011058573265
% SZS output start Proof for 4369611439523011058573265
8. ! [X0] : ((strong(X0) & ~calm(X0)) <=> (~happy(X0) | humble(X0))) [input p7]
16. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (~calm(X0) <~> ~brave(X0))) [input p15]
23. ~happy(paul) & kind(paul) [input p22]
25. ... | 0 |
Everyone who is either not old or happy is both kind and not rich.
Everyone who is not old is either kind or not brave and vice versa.
Everyone who is not funny is quiet or not quiet.
Everyone who is either funny or wise is not happy.
Everyone who is either wise or humble is either not tall or not rich and vice versa.
... | Paul is kind. | neutral | (![X]:((~old(X)<~>happy(X))=>(kind(X)&~rich(X))))&
(![X]:(~old(X)<=>(kind(X)<~>~brave(X))))&
(![X]:(~funny(X)=>(quiet(X)|~quiet(X))))&
(![X]:((funny(X)<~>wise(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~tall(X)<~>~rich(X))))&
(![X]:((~tall(X)<~>funny(X))=>(~generous(X)|wise(X))))&
(![X]:((happy(X)<~>generous(X))... | kind(paul) | [] | null | 0 |
If alice is curious then someone is both curious and not curious.
If susan is both not patient and not curious then someone is both quiet and not tall and vice versa.
Everyone who is either not funny or patient is funny or not tall.
If someone is patient then fred is funny or not brave.
Everyone who is quiet is not qui... | Fred is happy. | contradiction | ((curious(alice))=>(?[X]:((curious(X)&~curious(X)))))&
(((~patient(susan)&~curious(susan)))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~funny(X)<~>patient(X))=>(funny(X)|~tall(X))))&
((?[X]:(patient(X)))=>((funny(fred)|~brave(fred))))&
(![X]:(quiet(X)<=>(~quiet(X)|~patient(X))))&
(![X]:((strong(X)&~funny(X))=>(old(X)|~br... | happy(fred) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1554168804868892562642296
% SZS output start Proof for 1554168804868892562642296
5. ! [X0] : (quiet(X0) <=> (~patient(X0) | ~quiet(X0))) [input p4]
9. ! [X0] : ((~happy(X0) & ~curious(X0)) <=> ~patient(X0)) [input p8]
24. happy(fred) [input hypothesis]
50. ! [X0] : ((quiet(X0) | (patient(... | 0 |
If susan is either not quiet or not tall then someone is rich or funny and vice versa.
Everyone who is both patient and not humble is either not creative or curious.
If paul is both generous and not tall then someone is either not rich or not kind.
If fred is both not strong and humble then someone is either not happy ... | Alice is rich. | neutral | (((~quiet(susan)<~>~tall(susan)))<=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((patient(X)&~humble(X))=>(~creative(X)<~>curious(X))))&
(((generous(paul)&~tall(paul)))=>(?[X]:((~rich(X)<~>~kind(X)))))&
(((~strong(fred)&humble(fred)))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(((~happy(lucy)&curious(lucy)))<=>(~generous(mary)))&
((... | rich(alice) | [] | null | 0 |
Everyone who is both old and patient is either not patient or rich and vice versa. If lucy is not humble then mary is either not creative or calm. Everyone who is both rich and not humble is strong. Everyone who is either wise or funny is rich and vice versa. Everyone who is either not generous or tall is not strong an... | Susan is not calm. | entailment | (![X]:((old(X)&patient(X))<=>(~patient(X)<~>rich(X))))&
((~humble(lucy))=>((~creative(mary)<~>calm(mary))))&
(![X]:((rich(X)&~humble(X))=>strong(X)))&
(![X]:((wise(X)<~>funny(X))<=>rich(X)))&
(![X]:((~generous(X)<~>tall(X))<=>~strong(X)))&
(![X]:((~old(X)&~creative(X))<=>(~humble(X)<~>~happy(X))))&
((?[X]:(~creative(X)... | ~calm(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 221182994959566686254337
% SZS output start Proof for 221182994959566686254337
21. ~creative(susan) & ~calm(susan) [input p20]
25. calm(susan) [input hypothesis]
110. ~calm(susan) [cnf transformation 21]
115. calm(susan) [cnf transformation 25]
206. 19 <=> calm(susan) [avatar definition]
... | 0 |
If someone is both wise and happy then someone is creative. If susan is not calm or not old then alice is both funny and tall and vice versa. Everyone who is kind or not kind is both funny and not tall. If someone is funny then someone is either wise or brave and vice versa. Everyone who is not funny or not happy is cu... | Fred is wise. | contradiction | ((?[X]:((wise(X)&happy(X))))=>(?[X]:(creative(X))))&
(((~calm(susan)|~old(susan)))<=>((funny(alice)&tall(alice))))&
(![X]:((kind(X)|~kind(X))=>(funny(X)&~tall(X))))&
((?[X]:(funny(X)))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~funny(X)|~happy(X))=>curious(X)))&
(((old(lucy)<~>brave(lucy)))=>(?[X]:((~patient(X)<~>~quie... | wise(fred) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8076228855949423913247799
% SZS output start Proof for 8076228855949423913247799
7. ? [X0] : ~kind(X0) => ? [X0] : (patient(X0) & ~patient(X0)) [input p6]
8. ? [X0] : wise(X0) => ? [X0] : (~kind(X0) & rich(X0)) [input p7]
22. wise(fred) [input hypothesis]
25. ? [X0] : ~kind(X0) => ? [X1] ... | 0 |
Everyone who is either not happy or happy is strong and vice versa. Everyone who is not strong or not tall is either calm or brave. Everyone who is either not quiet or curious is brave or not kind and vice versa. Everyone who is patient is not patient or not wise and vice versa. If someone is old then someone is humble... | Susan is not calm. | entailment | (![X]:((~happy(X)<~>happy(X))<=>strong(X)))&
(![X]:((~strong(X)|~tall(X))=>(calm(X)<~>brave(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(brave(X)|~kind(X))))&
(![X]:(patient(X)<=>(~patient(X)|~wise(X))))&
((?[X]:(old(X)))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)|kind(X))=>(~kind(X)&~rich(X))))&
(![X]:((old(X)&~kind(X))=>hum... | ~calm(susan) | [
"p0",
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1912018320091824122471008
% SZS output start Proof for 1912018320091824122471008
1. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> strong(X0)) [input p0]
6. ! [X0] : ((kind(X0) | rich(X0)) => (~rich(X0) & ~kind(X0))) [input p5]
8. ! [X0] : ((~creative(X0) | kind(X0)) <=> (strong(X0) <~> ~strong... | 0 |
Everyone who is both not strong and not rich is tall and vice versa.
Everyone who is both kind and not patient is either not funny or quiet and vice versa.
Everyone who is quiet is happy or generous and vice versa.
Everyone who is not wise or not rich is both not happy and not brave.
Everyone who is either not curious ... | Alice is not funny. | contradiction | (![X]:((~strong(X)&~rich(X))<=>tall(X)))&
(![X]:((kind(X)&~patient(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(quiet(X)<=>(happy(X)|generous(X))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny(X))))&
(![X]:((~curious(X)|~calm(X))<=>~calm(X)))&
(![X]:((rich(X)<~>cu... | ~funny(alice) | [
"p0",
"p3",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 567496579482639164115413
% SZS output start Proof for 567496579482639164115413
1. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
4. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~brave(X0) & ~happy(X0))) [input p3]
11. ! [X0] : ((~calm(X0) & old(X0)) <=> (~funny(X0) | ~rich(X0))) [i... | 0 |
Everyone who is both rich and not creative is kind.
If someone is either curious or not humble then paul is generous.
Everyone who is kind is both not humble and not creative and vice versa.
Everyone who is happy is humble.
If someone is either patient or kind then paul is not patient.
If someone is either brave or not... | John is kind. | contradiction | (![X]:((rich(X)&~creative(X))=>kind(X)))&
((?[X]:((curious(X)<~>~humble(X))))=>(generous(paul)))&
(![X]:(kind(X)<=>(~humble(X)&~creative(X))))&
(![X]:(happy(X)=>humble(X)))&
((?[X]:((patient(X)<~>kind(X))))=>(~patient(paul)))&
((?[X]:((brave(X)<~>~happy(X))))<=>((~calm(john)&~curious(john))))&
(((creative(john)|~genero... | kind(john) | [
"p2",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4526486601619707383872259
% SZS output start Proof for 4526486601619707383872259
3. ! [X0] : (kind(X0) <=> (~creative(X0) & ~humble(X0))) [input p2]
7. (~generous(john) | creative(john)) <=> ? [X0] : (kind(X0) <~> creative(X0)) [input p6]
16. ! [X0] : (~humble(X0) => generous(X0)) [input ... | 0 |
If someone is not calm or not tall then susan is not curious. If paul is not creative or not quiet then someone is kind or not quiet. If fred is happy then someone is happy and vice versa. Everyone who is both not patient and creative is both calm and not old. If mary is humble then lucy is patient or rich and vice ver... | Lucy is not strong. | entailment | ((?[X]:((~calm(X)|~tall(X))))=>(~curious(susan)))&
(((~creative(paul)|~quiet(paul)))=>(?[X]:((kind(X)|~quiet(X)))))&
((happy(fred))<=>(?[X]:(happy(X))))&
(![X]:((~patient(X)&creative(X))=>(calm(X)&~old(X))))&
((humble(mary))<=>((patient(lucy)|rich(lucy))))&
((?[X]:((~old(X)<~>~kind(X))))<=>(?[X]:(funny(X))))&
((?[X]:((... | ~strong(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1438956847375179851757359
% SZS output start Proof for 1438956847375179851757359
14. ! [X0] : ((~strong(X0) & tall(X0)) <=> strong(X0)) [input p13]
25. strong(lucy) [input hypothesis]
65. ! [X0] : (((~strong(X0) & tall(X0)) | ~strong(X0)) & (strong(X0) | (strong(X0) | ~tall(X0)))) [nnf tr... | 0 |
Everyone who is either not curious or patient is not happy and vice versa.
Everyone who is both not strong and not old is both curious and strong.
Everyone who is both generous and rich is both not strong and rich.
Everyone who is both not kind and not generous is not patient and vice versa.
Everyone who is wise or not... | Fred is not happy. | neutral | (![X]:((~curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:((~strong(X)&~old(X))=>(curious(X)&strong(X))))&
(![X]:((generous(X)&rich(X))=>(~strong(X)&rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>~patient(X)))&
(![X]:((wise(X)|~quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((brave(X)|happy(X))<=>(~generous(X)&happy(X))))&
(((hu... | ~happy(fred) | [] | null | 0 |
Everyone who is either not strong or rich is both not creative and not wise.
Everyone who is either not kind or not brave is kind.
Everyone who is either not curious or not humble is either patient or not happy and vice versa.
Everyone who is not quiet is either kind or tall and vice versa.
Everyone who is not strong o... | Mary is brave. | neutral | (![X]:((~strong(X)<~>rich(X))=>(~creative(X)&~wise(X))))&
(![X]:((~kind(X)<~>~brave(X))=>kind(X)))&
(![X]:((~curious(X)<~>~humble(X))<=>(patient(X)<~>~happy(X))))&
(![X]:(~quiet(X)<=>(kind(X)<~>tall(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~kind(X)|~strong(X))))&
((?[X]:((~happy(X)&~quiet(X))))<=>((wise(fred)|~patien... | brave(mary) | [] | null | 0 |
If paul is generous or not humble then someone is not rich.
Everyone who is not wise or not calm is either not happy or calm and vice versa.
Everyone who is not happy is quiet.
If someone is either tall or not calm then alice is both creative and not brave.
If paul is either not old or wise then someone is not strong o... | Alice is not wise. | entailment | (((generous(paul)|~humble(paul)))=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)|~calm(X))<=>(~happy(X)<~>calm(X))))&
(![X]:(~happy(X)=>quiet(X)))&
((?[X]:((tall(X)<~>~calm(X))))=>((creative(alice)&~brave(alice))))&
(((~old(paul)<~>wise(paul)))<=>(?[X]:((~strong(X)|kind(X)))))&
((?[X]:(rich(X)))=>((~patient(john)<~>~calm(john))... | ~wise(alice) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8102215037589010600414163
% SZS output start Proof for 8102215037589010600414163
7. ! [X0] : ((quiet(X0) | creative(X0)) => (calm(X0) & ~wise(X0))) [input p6]
15. ! [X0] : ((~old(X0) & ~quiet(X0)) <=> (old(X0) <~> ~wise(X0))) [input p14]
24. wise(alice) [input hypothesis]
31. ! [X0] : ((c... | 0 |
Everyone who is generous or old is both not calm and generous and vice versa. If someone is either not wise or happy then alice is not patient and vice versa. Everyone who is either generous or old is rich and vice versa. If lucy is both rich and not old then someone is not brave. Everyone who is either not brave or no... | Alice is not funny. | neutral | (![X]:((generous(X)|old(X))<=>(~calm(X)&generous(X))))&
((?[X]:((~wise(X)<~>happy(X))))<=>(~patient(alice)))&
(![X]:((generous(X)<~>old(X))<=>rich(X)))&
(((rich(lucy)&~old(lucy)))=>(?[X]:(~brave(X))))&
(![X]:((~brave(X)<~>~quiet(X))<=>old(X)))&
(![X]:((~brave(X)&wise(X))<=>(~funny(X)|happy(X))))&
((?[X]:((calm(X)|patie... | ~funny(alice) | [] | null | 0 |
If fred is not kind or funny then someone is both curious and not kind and vice versa.
Everyone who is either kind or funny is both strong and not patient and vice versa.
Everyone who is either curious or not wise is either not old or rich and vice versa.
Everyone who is either calm or not tall is not strong or creativ... | Mary is calm. | entailment | (((~kind(fred)|funny(fred)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:((kind(X)<~>funny(X))<=>(strong(X)&~patient(X))))&
(![X]:((curious(X)<~>~wise(X))<=>(~old(X)<~>rich(X))))&
(![X]:((calm(X)<~>~tall(X))<=>(~strong(X)|creative(X))))&
((?[X]:((~rich(X)&creative(X))))<=>((rich(john)<~>~generous(john))))&
((?[X]:((~patie... | calm(mary) | [
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3568007596802443206823789
% SZS output start Proof for 3568007596802443206823789
7. ! [X0] : ((funny(X0) | ~strong(X0)) => (funny(X0) & ~happy(X0))) [input p6]
14. ! [X0] : ((~old(X0) & strong(X0)) <=> (funny(X0) <~> calm(X0))) [input p13]
19. ~funny(mary) & ~old(mary) [input p18]
24. ~ca... | 0 |
If someone is both brave and happy then susan is kind or not humble.
Everyone who is both creative and not generous is generous.
Everyone who is both tall and wise is both not creative and generous.
Everyone who is funny or not generous is both calm and creative.
If someone is both tall and not calm then someone is wis... | John is not curious. | neutral | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:((tall(X)&~calm(X))))=>(?[X]:(wise(X))))&
(((~kind(john)&~old(john)))=>((~rich(paul)<~... | ~curious(john) | [] | null | 0 |
Everyone who is both not patient and not old is not calm and vice versa. If lucy is quiet then someone is both quiet and not happy. Everyone who is either not strong or strong is funny. Everyone who is creative or wise is both brave and not generous and vice versa. If mary is both curious and not quiet then someone is ... | Mary is old. | contradiction | (![X]:((~patient(X)&~old(X))<=>~calm(X)))&
((quiet(lucy))=>(?[X]:((quiet(X)&~happy(X)))))&
(![X]:((~strong(X)<~>strong(X))=>funny(X)))&
(![X]:((creative(X)|wise(X))<=>(brave(X)&~generous(X))))&
(((curious(mary)&~quiet(mary)))=>(?[X]:((old(X)|~strong(X)))))&
(((~tall(lucy)<~>tall(lucy)))<=>((calm(mary)<~>strong(mary))))... | old(mary) | [
"p0",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9028952151403204587292660
% SZS output start Proof for 9028952151403204587292660
1. ! [X0] : ((~old(X0) & ~patient(X0)) <=> ~calm(X0)) [input p0]
6. (~tall(lucy) <~> tall(lucy)) <=> (calm(mary) <~> strong(mary)) [input p5]
10. ! [X0] : (strong(X0) <=> (~old(X0) | calm(X0))) [input p9]
22.... | 0 |
If someone is not generous or not happy then someone is not old.
Everyone who is both creative and not humble is both not brave and wise and vice versa.
Everyone who is both patient and not rich is both not old and old.
Everyone who is both not rich and not funny is both not calm and not wise and vice versa.
If mary is... | Alice is not kind. | entailment | ((?[X]:((~generous(X)|~happy(X))))=>(?[X]:(~old(X))))&
(![X]:((creative(X)&~humble(X))<=>(~brave(X)&wise(X))))&
(![X]:((patient(X)&~rich(X))=>(~old(X)&old(X))))&
(![X]:((~rich(X)&~funny(X))<=>(~calm(X)&~wise(X))))&
((~creative(mary))<=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<... | ~kind(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 640771747994224269519933
% SZS output start Proof for 640771747994224269519933
14. ? [X0] : (~generous(X0) | kind(X0)) <=> ? [X0] : (curious(X0) & ~curious(X0)) [input p13]
22. kind(alice) [input hypothesis]
24. ? [X0] : (~generous(X0) | kind(X0)) <=> ? [X1] : (curious(X1) & ~curious(X1))... | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is both rich and happy then lucy is not rich or kind and vice versa.
If lucy is kind then someone is either rich or not humble and vice versa.
Everyone who is either old or not curious is both not strong and patient.
Everyone who is h... | John is not calm. | entailment | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((rich(X)&happy(X))))<=>((~rich(lucy)|kind(lucy))))&
((kind(lucy))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(![X]:((old(X)<~>~curious(X))=>(~strong(X)&patient(X))))&
(![X]:(happy(X)<=>(kind(X)&~old(X))))&
(![X]:((~funny(X)<~>~tall(X))<=>(patient(X)&rich(X))... | ~calm(john) | [
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1667314745855617557434629
% SZS output start Proof for 1667314745855617557434629
9. ! [X0] : (creative(X0) <=> (~kind(X0) <~> kind(X0))) [input p8]
15. (~creative(john) | curious(john)) <=> ? [X0] : (curious(X0) | calm(X0)) [input p14]
16. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~curious... | 0 |
Everyone who is either not brave or not wise is either brave or kind.
If alice is not calm or not brave then someone is not happy or tall.
If fred is both not kind and not happy then lucy is either not humble or curious and vice versa.
Everyone who is not quiet is both kind and not kind and vice versa.
Everyone who is ... | Alice is not creative. | neutral | (![X]:((~brave(X)<~>~wise(X))=>(brave(X)<~>kind(X))))&
(((~calm(alice)|~brave(alice)))=>(?[X]:((~happy(X)|tall(X)))))&
(((~kind(fred)&~happy(fred)))<=>((~humble(lucy)<~>curious(lucy))))&
(![X]:(~quiet(X)<=>(kind(X)&~kind(X))))&
(![X]:((rich(X)|generous(X))<=>(~happy(X)&~old(X))))&
(![X]:((~rich(X)|creative(X))=>(~happy... | ~creative(alice) | [] | null | 0 |
Everyone who is both generous and not funny is humble or not kind and vice versa.
Everyone who is funny or calm is both not rich and strong and vice versa.
Everyone who is either generous or not strong is not wise or old and vice versa.
If someone is humble or not rich then susan is both generous and not tall and vice ... | Paul is generous. | contradiction | (![X]:((generous(X)&~funny(X))<=>(humble(X)|~kind(X))))&
(![X]:((funny(X)|calm(X))<=>(~rich(X)&strong(X))))&
(![X]:((generous(X)<~>~strong(X))<=>(~wise(X)|old(X))))&
((?[X]:((humble(X)|~rich(X))))<=>((generous(susan)&~tall(susan))))&
((~old(paul))<=>(?[X]:((~old(X)|tall(X)))))&
(![X]:((rich(X)<~>curious(X))=>(strong(X)... | generous(paul) | [
"p2",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4008863356040919712474895
% SZS output start Proof for 4008863356040919712474895
3. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (old(X0) | ~wise(X0))) [input p2]
10. ! [X0] : ((~happy(X0) | happy(X0)) => (kind(X0) & ~humble(X0))) [input p9]
11. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (str... | 0 |
Everyone who is strong is both curious and not quiet and vice versa.
If someone is old or not old then someone is quiet and vice versa.
Everyone who is not funny or not rich is both humble and not curious and vice versa.
If someone is not creative or strong then mary is not strong or not funny and vice versa.
Everyone ... | Paul is not kind. | contradiction | (![X]:(strong(X)<=>(curious(X)&~quiet(X))))&
((?[X]:((old(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~funny(X)|~rich(X))<=>(humble(X)&~curious(X))))&
((?[X]:((~creative(X)|strong(X))))<=>((~strong(mary)|~funny(mary))))&
(![X]:((happy(X)<~>wise(X))<=>(kind(X)&~patient(X))))&
(![X]:((~happy(X)<~>~creative(X))<=>~funny(X... | ~kind(paul) | [
"p0",
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8411620244843849027488663
% SZS output start Proof for 8411620244843849027488663
1. ! [X0] : (strong(X0) <=> (~quiet(X0) & curious(X0))) [input p0]
3. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) & humble(X0))) [input p2]
7. ! [X0] : (~strong(X0) <=> (kind(X0) & creative(X0))) [in... | 0 |
Everyone who is not brave is both not patient and not kind and vice versa. If someone is not humble or wise then someone is both not patient and not brave. Everyone who is not humble or not kind is both generous and rich and vice versa. If paul is both not old and not kind then someone is either not creative or not hum... | Mary is not brave. | contradiction | (![X]:(~brave(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((~humble(X)|wise(X))))=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:((~humble(X)|~kind(X))<=>(generous(X)&rich(X))))&
(((~old(paul)&~kind(paul)))<=>(?[X]:((~creative(X)<~>~humble(X)))))&
((?[X]:((old(X)<~>kind(X))))=>(?[X]:(quiet(X))))&
(![X]:((patient(X)&creative(X))=>... | ~brave(mary) | [
"p0",
"p2",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8365280963739954104693563
% SZS output start Proof for 8365280963739954104693563
1. ! [X0] : (~brave(X0) <=> (~kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | ~humble(X0)) <=> (rich(X0) & generous(X0))) [input p2]
8. ! [X0] : (strong(X0) <=> ~rich(X0)) [input p7]
15. ! [X0]... | 0 |
If lucy is creative or not curious then susan is both not patient and not calm.
Everyone who is either brave or not happy is both not patient and not funny and vice versa.
Everyone who is patient is both not humble and not calm.
If someone is humble then lucy is not rich or not generous.
Everyone who is both brave and ... | John is not humble. | contradiction | (((creative(lucy)|~curious(lucy)))=>((~patient(susan)&~calm(susan))))&
(![X]:((brave(X)<~>~happy(X))<=>(~patient(X)&~funny(X))))&
(![X]:(patient(X)=>(~humble(X)&~calm(X))))&
((?[X]:(humble(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((brave(X)&wise(X))<=>(kind(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>kind(X))))=>((... | ~humble(john) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 489495803725454136211649
% SZS output start Proof for 489495803725454136211649
3. ! [X0] : (patient(X0) => (~calm(X0) & ~humble(X0))) [input p2]
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (kind(X0) <~> ~curious(X0))) [input p4]
6. ? [X0] : (curious(X0) <~> kind(X0)) => (~creative(john) & cal... | 0 |
Everyone who is either not patient or curious is old and vice versa.
If alice is not calm or generous then paul is both calm and generous and vice versa.
If alice is not patient or not humble then someone is not old.
If alice is not patient then mary is both not rich and brave.
Everyone who is tall is both generous and... | John is not quiet. | neutral | (![X]:((~patient(X)<~>curious(X))<=>old(X)))&
(((~calm(alice)|generous(alice)))<=>((calm(paul)&generous(paul))))&
(((~patient(alice)|~humble(alice)))=>(?[X]:(~old(X))))&
((~patient(alice))=>((~rich(mary)&brave(mary))))&
(![X]:(tall(X)<=>(generous(X)&strong(X))))&
(((strong(fred)<~>patient(fred)))<=>(?[X]:((creative(X)&... | ~quiet(john) | [] | null | 0 |
Everyone who is both not funny and not patient is both not creative and quiet and vice versa.
Everyone who is not tall or generous is happy.
If someone is not kind or creative then susan is both not kind and kind and vice versa.
If someone is either not happy or not curious then someone is generous or curious.
If alice... | Lucy is not generous. | contradiction | (![X]:((~funny(X)&~patient(X))<=>(~creative(X)&quiet(X))))&
(![X]:((~tall(X)|generous(X))=>happy(X)))&
((?[X]:((~kind(X)|creative(X))))<=>((~kind(susan)&kind(susan))))&
((?[X]:((~happy(X)<~>~curious(X))))=>(?[X]:((generous(X)|curious(X)))))&
(((~kind(alice)<~>~wise(alice)))=>(?[X]:((~old(X)&patient(X)))))&
(![X]:((~bra... | ~generous(lucy) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6136487067687478922517371
% SZS output start Proof for 6136487067687478922517371
3. ? [X0] : (creative(X0) | ~kind(X0)) <=> (kind(susan) & ~kind(susan)) [input p2]
11. ! [X0] : ((~wise(X0) | ~generous(X0)) => creative(X0)) [input p10]
21. ~generous(lucy) [input hypothesis]
33. ! [X0] : (c... | 0 |
Everyone who is not strong or not generous is not calm. If fred is not curious then fred is wise and vice versa. Everyone who is not quiet is both not calm and generous. If john is not funny or not wise then someone is quiet and vice versa. If someone is either humble or not humble then mary is both not strong and curi... | Fred is not generous. | contradiction | (![X]:((~strong(X)|~generous(X))=>~calm(X)))&
((~curious(fred))<=>(wise(fred)))&
(![X]:(~quiet(X)=>(~calm(X)&generous(X))))&
(((~funny(john)|~wise(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((humble(X)<~>~humble(X))))=>((~strong(mary)&curious(mary))))&
(![X]:((tall(X)&brave(X))=>(~calm(X)<~>~rich(X))))&
(![X]:(~generous(X)<=... | ~generous(fred) | [
"p0",
"p5",
"p7",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3422637354947127687431002
% SZS output start Proof for 3422637354947127687431002
1. ! [X0] : ((~generous(X0) | ~strong(X0)) => ~calm(X0)) [input p0]
6. ! [X0] : ((brave(X0) & tall(X0)) => (~calm(X0) <~> ~rich(X0))) [input p5]
8. ! [X0] : ((~curious(X0) <~> curious(X0)) => brave(X0)) [inpu... | 0 |
Everyone who is funny is either tall or not happy and vice versa.
If john is either happy or humble then mary is both not quiet and not wise.
If someone is wise or not old then someone is both not brave and not rich and vice versa.
Everyone who is both not rich and not funny is happy or funny.
If someone is brave or ki... | Susan is rich. | neutral | (![X]:(funny(X)<=>(tall(X)<~>~happy(X))))&
(((happy(john)<~>humble(john)))=>((~quiet(mary)&~wise(mary))))&
((?[X]:((wise(X)|~old(X))))<=>(?[X]:((~brave(X)&~rich(X)))))&
(![X]:((~rich(X)&~funny(X))=>(happy(X)|funny(X))))&
((?[X]:((brave(X)|kind(X))))=>(~strong(mary)))&
(((calm(susan)<~>old(susan)))=>((~strong(susan)&~ri... | rich(susan) | [] | null | 0 |
Everyone who is either not rich or kind is not funny or not quiet and vice versa.
If paul is both patient and funny then someone is either not humble or patient.
If someone is either not wise or not old then john is either wise or not strong.
If susan is either strong or curious then someone is not happy and vice versa... | Alice is not happy. | entailment | (![X]:((~rich(X)<~>kind(X))<=>(~funny(X)|~quiet(X))))&
(((patient(paul)&funny(paul)))=>(?[X]:((~humble(X)<~>patient(X)))))&
((?[X]:((~wise(X)<~>~old(X))))=>((wise(john)<~>~strong(john))))&
(((strong(susan)<~>curious(susan)))<=>(?[X]:(~happy(X))))&
((?[X]:((creative(X)|~creative(X))))<=>(kind(alice)))&
(![X]:((~generous... | ~happy(alice) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1614350863217011683289642
% SZS output start Proof for 1614350863217011683289642
5. ? [X0] : (~creative(X0) | creative(X0)) <=> kind(alice) [input p4]
12. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~kind(X0) | ~happy(X0))) [input p11]
25. happy(alice) [input hypothesis]
31. ! [X0] : ((~... | 0 |
If someone is both creative and not rich then john is either not rich or curious. If someone is not rich or not generous then someone is wise and vice versa. Everyone who is either not old or humble is both patient and not old and vice versa. Everyone who is either patient or not generous is strong. If fred is not gene... | Fred is curious. | entailment | ((?[X]:((creative(X)&~rich(X))))=>((~rich(john)<~>curious(john))))&
((?[X]:((~rich(X)|~generous(X))))<=>(?[X]:(wise(X))))&
(![X]:((~old(X)<~>humble(X))<=>(patient(X)&~old(X))))&
(![X]:((patient(X)<~>~generous(X))=>strong(X)))&
(((~generous(fred)|curious(fred)))<=>(?[X]:((~old(X)<~>generous(X)))))&
((?[X]:((rich(X)|happ... | curious(fred) | [
"p2",
"p4",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6239975441641762543700583
% SZS output start Proof for 6239975441641762543700583
3. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (~old(X0) & patient(X0))) [input p2]
5. (curious(fred) | ~generous(fred)) <=> ? [X0] : (~old(X0) <~> generous(X0)) [input p4]
14. ! [X0] : ((~brave(X0) & generous(X0... | 0 |
If someone is either not generous or not patient then someone is either not calm or calm.
If someone is either calm or funny then alice is tall and vice versa.
If fred is both not curious and not quiet then someone is strong or not rich.
Everyone who is both not brave and creative is both kind and not wise.
If alice is... | Lucy is creative. | neutral | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((~calm(X)<~>calm(X)))))&
((?[X]:((calm(X)<~>funny(X))))<=>(tall(alice)))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brave(X)&creative(X))=>(kind(X)&~wise(X))))&
((~happy(alice))<=>(?[X]:(~calm(X))))&
(![X]:((~happy(X)&brave(X))=>(happy(X)&k... | creative(lucy) | [] | null | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Mary is not kind. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | ~kind(mary) | [
"p2",
"p7",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2368197835161099317848983
% SZS output start Proof for 2368197835161099317848983
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
8. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~rich(X0) | strong(X0))) [input p7]
9. (~kind(mary) | ~patient(mary)) => ~generou... | 0 |
If susan is either not wise or not strong then someone is both not patient and rich and vice versa. If someone is curious then susan is not brave or rich and vice versa. If alice is kind then someone is not strong or not curious and vice versa. Everyone who is both brave and not strong is patient or not quiet and vice ... | Alice is not kind. | entailment | (((~wise(susan)<~>~strong(susan)))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(curious(X)))<=>((~brave(susan)|rich(susan))))&
((kind(alice))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((brave(X)&~strong(X))<=>(patient(X)|~quiet(X))))&
(((funny(mary)&~tall(mary)))<=>(patient(mary)))&
(((~quiet(paul)&~rich(paul)))<=>(?[X... | ~kind(alice) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3509922811014791744845064
% SZS output start Proof for 3509922811014791744845064
8. ! [X0] : ((~rich(X0) | rich(X0)) => ~kind(X0)) [input p7]
23. kind(alice) [input hypothesis]
25. ! [X0] : (~kind(X0) | (rich(X0) & ~rich(X0))) [ennf transformation 8]
102. ~kind(X0) | ~rich(X0) [cnf transf... | 0 |
If john is not tall then someone is both old and not patient. Everyone who is tall is not curious or not creative and vice versa. Everyone who is both not humble and wise is kind or not humble. If someone is both not humble and patient then susan is not humble and vice versa. Everyone who is happy is either not rich or... | Alice is funny. | neutral | ((~tall(john))=>(?[X]:((old(X)&~patient(X)))))&
(![X]:(tall(X)<=>(~curious(X)|~creative(X))))&
(![X]:((~humble(X)&wise(X))=>(kind(X)|~humble(X))))&
((?[X]:((~humble(X)&patient(X))))<=>(~humble(susan)))&
(![X]:(happy(X)=>(~rich(X)<~>rich(X))))&
((?[X]:(generous(X)))=>(generous(fred)))&
(![X]:((~humble(X)&~calm(X))<=>pat... | funny(alice) | [] | null | 0 |
If mary is not patient then someone is rich. Everyone who is rich or calm is either not brave or patient and vice versa. Everyone who is either old or not humble is both happy and not quiet and vice versa. Everyone who is not kind is not happy and vice versa. Everyone who is either not humble or not kind is both not ta... | Susan is old. | contradiction | ((~patient(mary))=>(?[X]:(rich(X))))&
(![X]:((rich(X)|calm(X))<=>(~brave(X)<~>patient(X))))&
(![X]:((old(X)<~>~humble(X))<=>(happy(X)&~quiet(X))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~humble(X)<~>~kind(X))=>(~tall(X)&~wise(X))))&
(((calm(fred)<~>old(fred)))<=>(?[X]:((~generous(X)<~>humble(X)))))&
(![X]:(~curious(X)... | old(susan) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 56167148814954716166858
% SZS output start Proof for 56167148814954716166858
3. ! [X0] : ((old(X0) <~> ~humble(X0)) <=> (~quiet(X0) & happy(X0))) [input p2]
4. ! [X0] : (~kind(X0) <=> ~happy(X0)) [input p3]
7. ! [X0] : (~curious(X0) <=> (brave(X0) <~> old(X0))) [input p6]
8. ! [X0] : ((cu... | 0 |
Everyone who is generous is calm or tall. If fred is both not generous and wise then john is either not wise or calm. If fred is either not strong or not rich then lucy is brave and vice versa. Everyone who is old or brave is brave or not quiet and vice versa. Everyone who is either patient or old is either humble or f... | Alice is not generous. | neutral | (![X]:(generous(X)=>(calm(X)|tall(X))))&
(((~generous(fred)&wise(fred)))=>((~wise(john)<~>calm(john))))&
(((~strong(fred)<~>~rich(fred)))<=>(brave(lucy)))&
(![X]:((old(X)|brave(X))<=>(brave(X)|~quiet(X))))&
(![X]:((patient(X)<~>old(X))<=>(humble(X)<~>funny(X))))&
(((~kind(lucy)<~>~calm(lucy)))<=>(~humble(paul)))&
(![X]... | ~generous(alice) | [] | null | 0 |
Everyone who is either not patient or creative is both not rich and generous and vice versa. Everyone who is either kind or happy is either not tall or not humble. Everyone who is not happy is humble or not funny. If paul is either not old or not wise then someone is not calm and vice versa. Everyone who is not tall is... | Lucy is calm. | entailment | (![X]:((~patient(X)<~>creative(X))<=>(~rich(X)&generous(X))))&
(![X]:((kind(X)<~>happy(X))=>(~tall(X)<~>~humble(X))))&
(![X]:(~happy(X)=>(humble(X)|~funny(X))))&
(((~old(paul)<~>~wise(paul)))<=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~rich(X)|creative(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(~quiet(X)|patient(X))))&
(![... | calm(lucy) | [
"p1",
"p6",
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 10528148391892399717239
% SZS output start Proof for 10528148391892399717239
2. ! [X0] : ((kind(X0) <~> happy(X0)) => (~tall(X0) <~> ~humble(X0))) [input p1]
7. ! [X0] : (~tall(X0) => (~patient(X0) <~> calm(X0))) [input p6]
9. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : (~humble(X0) <~> ki... | 0 |
Everyone who is not old or not wise is both tall and patient.
If someone is both not wise and curious then susan is not calm or happy and vice versa.
If someone is either happy or not strong then mary is both not happy and not strong.
Everyone who is both not strong and not creative is either not wise or creative and v... | Lucy is curious. | contradiction | (![X]:((~old(X)|~wise(X))=>(tall(X)&patient(X))))&
((?[X]:((~wise(X)&curious(X))))<=>((~calm(susan)|happy(susan))))&
((?[X]:((happy(X)<~>~strong(X))))=>((~happy(mary)&~strong(mary))))&
(![X]:((~strong(X)&~creative(X))<=>(~wise(X)<~>creative(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((calm(john)|~strong(john))))&
(![X]:((~k... | curious(lucy) | [
"p0",
"p3",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8598467771014762433424350
% SZS output start Proof for 8598467771014762433424350
1. ! [X0] : ((~wise(X0) | ~old(X0)) => (patient(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (~wise(X0) <~> creative(X0))) [input p3]
8. ! [X0] : ((~funny(X0) & curious(X0)) => ~... | 0 |
Everyone who is not patient is both wise and not tall and vice versa.
Everyone who is either not funny or not creative is both patient and old and vice versa.
If someone is not wise or not generous then fred is either generous or curious.
Everyone who is both not funny and tall is wise or calm.
If someone is wise or ki... | Alice is wise. | entailment | (![X]:(~patient(X)<=>(wise(X)&~tall(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>(patient(X)&old(X))))&
((?[X]:((~wise(X)|~generous(X))))=>((generous(fred)<~>curious(fred))))&
(![X]:((~funny(X)&tall(X))=>(wise(X)|calm(X))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((~generous(X)|~brave(X)))))&
(![X]:((~brave(X)<~>funny(X))<=>... | wise(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6227901999552895355810871
% SZS output start Proof for 6227901999552895355810871
11. ! [X0] : (~curious(X0) <=> (~curious(X0) <~> ~wise(X0))) [input p10]
25. ~wise(alice) [input hypothesis]
63. ! [X0] : ((~curious(X0) | ((~curious(X0) | wise(X0)) & (~wise(X0) | curious(X0)))) & (((wise(X0... | 0 |
Everyone who is both not humble and brave is not wise.
If paul is calm then someone is either not humble or not quiet and vice versa.
If someone is either not funny or not brave then mary is kind and vice versa.
Everyone who is old is both not kind and not tall and vice versa.
If someone is not wise or old then someone... | Lucy is patient. | entailment | (![X]:((~humble(X)&brave(X))=>~wise(X)))&
((calm(paul))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((~funny(X)<~>~brave(X))))<=>(kind(mary)))&
(![X]:(old(X)<=>(~kind(X)&~tall(X))))&
((?[X]:((~wise(X)|old(X))))=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((quiet(X)&generous(X))<=>~patient(X)))&
(![X]:((~quiet(X)<~>~strong(X... | patient(lucy) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 30026460443162808183090
% SZS output start Proof for 30026460443162808183090
6. ! [X0] : ((generous(X0) & quiet(X0)) <=> ~patient(X0)) [input p5]
10. ! [X0] : ((~generous(X0) & generous(X0)) <=> (generous(X0) | humble(X0))) [input p9]
25. ~patient(lucy) [input hypothesis]
27. ! [X0] : (~p... | 0 |
If alice is quiet then susan is tall and vice versa.
If fred is generous or not brave then susan is both funny and not kind.
If john is either rich or kind then someone is either not old or old and vice versa.
Everyone who is both generous and not wise is both not wise and kind.
If someone is not old then someone is no... | Fred is happy. | entailment | ((quiet(alice))<=>(tall(susan)))&
(((generous(fred)|~brave(fred)))=>((funny(susan)&~kind(susan))))&
(((rich(john)<~>kind(john)))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((generous(X)&~wise(X))=>(~wise(X)&kind(X))))&
((?[X]:(~old(X)))<=>(?[X]:(~rich(X))))&
(((tall(susan)&strong(susan)))=>(?[X]:(old(X))))&
(![X]:((~strong(... | happy(fred) | [
"p10",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8182671681578397532370383
% SZS output start Proof for 8182671681578397532370383
11. ! [X0] : ((funny(X0) <~> ~creative(X0)) <=> (old(X0) & happy(X0))) [input p10]
13. ! [X0] : (~curious(X0) <=> (funny(X0) <~> creative(X0))) [input p12]
24. curious(fred) [input p23]
25. ~happy(fred) [inpu... | 0 |
Everyone who is either funny or not strong is both funny and not humble and vice versa.
If someone is either curious or not quiet then someone is brave or not strong.
If someone is both strong and not brave then someone is either tall or not rich and vice versa.
Everyone who is kind or not quiet is both wise and rich a... | Susan is quiet. | neutral | (![X]:((funny(X)<~>~strong(X))<=>(funny(X)&~humble(X))))&
((?[X]:((curious(X)<~>~quiet(X))))=>(?[X]:((brave(X)|~strong(X)))))&
((?[X]:((strong(X)&~brave(X))))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((kind(X)|~quiet(X))<=>(wise(X)&rich(X))))&
((?[X]:(~patient(X)))<=>((generous(fred)<~>~calm(fred))))&
(((~creative(john)... | quiet(susan) | [] | null | 0 |
Everyone who is both not calm and not generous is either not brave or not humble.
Everyone who is not creative or not kind is either not strong or tall and vice versa.
Everyone who is funny or not rich is not wise.
If susan is either not creative or brave then lucy is not tall and vice versa.
If john is not humble or c... | Paul is kind. | neutral | (![X]:((~calm(X)&~generous(X))=>(~brave(X)<~>~humble(X))))&
(![X]:((~creative(X)|~kind(X))<=>(~strong(X)<~>tall(X))))&
(![X]:((funny(X)|~rich(X))=>~wise(X)))&
(((~creative(susan)<~>brave(susan)))<=>(~tall(lucy)))&
(((~humble(john)|creative(john)))=>((~kind(mary)&~humble(mary))))&
(![X]:((strong(X)<~>~patient(X))<=>(~ki... | kind(paul) | [] | null | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | Susan is not strong. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | ~strong(susan) | [] | null | 0 |
Everyone who is strong or quiet is either generous or not strong. If susan is either not tall or tall then lucy is both brave and funny and vice versa. If fred is wise or not happy then someone is both not patient and not humble. Everyone who is either not creative or not generous is both brave and not brave and vice v... | Alice is old. | contradiction | (![X]:((strong(X)|quiet(X))=>(generous(X)<~>~strong(X))))&
(((~tall(susan)<~>tall(susan)))<=>((brave(lucy)&funny(lucy))))&
(((wise(fred)|~happy(fred)))=>(?[X]:((~patient(X)&~humble(X)))))&
(![X]:((~creative(X)<~>~generous(X))<=>(brave(X)&~brave(X))))&
((?[X]:(~happy(X)))<=>((quiet(alice)<~>~strong(alice))))&
(![X]:(~ri... | old(alice) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2511351671174212477411599
% SZS output start Proof for 2511351671174212477411599
23. ~old(alice) [input p22]
24. old(alice) [input hypothesis]
150. ~old(alice) [cnf transformation 23]
151. old(alice) [cnf transformation 24]
390. $false [subsumption resolution 151,150]
% SZS output end Pro... | 0 |
If lucy is both happy and not patient then someone is generous and vice versa.
Everyone who is not happy is wise and vice versa.
Everyone who is not old or wise is not tall or happy and vice versa.
Everyone who is both not happy and patient is both generous and not happy.
Everyone who is either not wise or humble is bo... | Susan is not quiet. | neutral | (((happy(lucy)&~patient(lucy)))<=>(?[X]:(generous(X))))&
(![X]:(~happy(X)<=>wise(X)))&
(![X]:((~old(X)|wise(X))<=>(~tall(X)|happy(X))))&
(![X]:((~happy(X)&patient(X))=>(generous(X)&~happy(X))))&
(![X]:((~wise(X)<~>humble(X))=>(~kind(X)&~brave(X))))&
(![X]:((brave(X)<~>old(X))<=>(~kind(X)&strong(X))))&
(![X]:(funny(X)=>... | ~quiet(susan) | [] | null | 0 |
If susan is either not kind or humble then john is both not happy and happy and vice versa. Everyone who is both not happy and kind is not humble or not wise and vice versa. If someone is not strong or not patient then susan is either old or quiet and vice versa. Everyone who is wise is either humble or not happy and v... | Fred is not rich. | contradiction | (((~kind(susan)<~>humble(susan)))<=>((~happy(john)&happy(john))))&
(![X]:((~happy(X)&kind(X))<=>(~humble(X)|~wise(X))))&
((?[X]:((~strong(X)|~patient(X))))<=>((old(susan)<~>quiet(susan))))&
(![X]:(wise(X)<=>(humble(X)<~>~happy(X))))&
(![X]:((~patient(X)&calm(X))<=>(humble(X)|calm(X))))&
(![X]:((humble(X)|~tall(X))=>~pa... | ~rich(fred) | [
"p1",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3239547133461618470320053
% SZS output start Proof for 3239547133461618470320053
2. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (~wise(X0) | ~humble(X0))) [input p1]
13. ! [X0] : ((~quiet(X0) & funny(X0)) <=> wise(X0)) [input p12]
15. ! [X0] : ((~rich(X0) | quiet(X0)) => (quiet(X0) & old(X0))) ... | 0 |
Everyone who is either not humble or not old is both tall and not happy.
Everyone who is both not generous and not curious is both not funny and wise.
If mary is either tall or rich then paul is brave and vice versa.
If someone is not old then lucy is both not calm and creative and vice versa.
Everyone who is both not ... | Susan is not rich. | entailment | (![X]:((~humble(X)<~>~old(X))=>(tall(X)&~happy(X))))&
(![X]:((~generous(X)&~curious(X))=>(~funny(X)&wise(X))))&
(((tall(mary)<~>rich(mary)))<=>(brave(paul)))&
((?[X]:(~old(X)))<=>((~calm(lucy)&creative(lucy))))&
(![X]:((~wise(X)&strong(X))<=>(tall(X)&kind(X))))&
(((~funny(lucy)<~>patient(lucy)))<=>(?[X]:((~strong(X)<~>... | ~rich(susan) | [
"p3",
"p7",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3395854196696814055564375
% SZS output start Proof for 3395854196696814055564375
4. ? [X0] : ~old(X0) <=> (creative(lucy) & ~calm(lucy)) [input p3]
8. ! [X0] : ((~creative(X0) | quiet(X0)) <=> (brave(X0) | ~quiet(X0))) [input p7]
11. ! [X0] : (old(X0) <=> (generous(X0) & calm(X0))) [input... | 0 |
If susan is kind or not funny then someone is brave and vice versa.
Everyone who is not rich is tall and vice versa.
Everyone who is not tall is creative or patient and vice versa.
If someone is either creative or not humble then someone is not happy or old and vice versa.
Everyone who is both not generous and humble i... | Paul is strong. | contradiction | (((kind(susan)|~funny(susan)))<=>(?[X]:(brave(X))))&
(![X]:(~rich(X)<=>tall(X)))&
(![X]:(~tall(X)<=>(creative(X)|patient(X))))&
((?[X]:((creative(X)<~>~humble(X))))<=>(?[X]:((~happy(X)|old(X)))))&
(![X]:((~generous(X)&humble(X))=>(happy(X)&brave(X))))&
(![X]:((~generous(X)<~>~old(X))<=>(~kind(X)&~curious(X))))&
((?[X]:... | strong(paul) | [
"p1",
"p2",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 448107536873257437815594
% SZS output start Proof for 448107536873257437815594
2. ! [X0] : (~rich(X0) <=> tall(X0)) [input p1]
3. ! [X0] : (~tall(X0) <=> (patient(X0) | creative(X0))) [input p2]
9. ! [X0] : (tall(X0) => (~funny(X0) & ~wise(X0))) [input p8]
11. ! [X0] : ((patient(X0) | wis... | 0 |
If john is humble or funny then someone is patient and vice versa.
If fred is funny or not old then someone is old and vice versa.
Everyone who is not calm is happy or not humble.
Everyone who is either rich or not tall is not funny and vice versa.
Everyone who is either not rich or old is not calm or not happy and vic... | Fred is kind. | neutral | (((humble(john)|funny(john)))<=>(?[X]:(patient(X))))&
(((funny(fred)|~old(fred)))<=>(?[X]:(old(X))))&
(![X]:(~calm(X)=>(happy(X)|~humble(X))))&
(![X]:((rich(X)<~>~tall(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>old(X))<=>(~calm(X)|~happy(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~kind(X)&curious(X))))&
(![X]:((~generous(X)&~kind... | kind(fred) | [] | null | 0 |
Everyone who is both not patient and patient is not generous or not strong and vice versa.
Everyone who is funny is tall or not happy.
Everyone who is strong or not kind is not quiet or patient and vice versa.
If someone is both kind and not creative then alice is humble.
If fred is not happy then someone is not old.
I... | Susan is not patient. | neutral | (![X]:((~patient(X)&patient(X))<=>(~generous(X)|~strong(X))))&
(![X]:(funny(X)=>(tall(X)|~happy(X))))&
(![X]:((strong(X)|~kind(X))<=>(~quiet(X)|patient(X))))&
((?[X]:((kind(X)&~creative(X))))=>(humble(alice)))&
((~happy(fred))=>(?[X]:(~old(X))))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:((curious(X)<~>generous(X)))))&... | ~patient(susan) | [] | null | 0 |
If lucy is quiet or not generous then lucy is quiet or not humble.
If someone is not happy then john is not brave.
If fred is creative then someone is both not creative and not happy.
Everyone who is not wise or not calm is not kind and vice versa.
Everyone who is generous or not kind is both not tall and wise.
If some... | Susan is not quiet. | neutral | (((quiet(lucy)|~generous(lucy)))=>((quiet(lucy)|~humble(lucy))))&
((?[X]:(~happy(X)))=>(~brave(john)))&
((creative(fred))=>(?[X]:((~creative(X)&~happy(X)))))&
(![X]:((~wise(X)|~calm(X))<=>~kind(X)))&
(![X]:((generous(X)|~kind(X))=>(~tall(X)&wise(X))))&
((?[X]:((~patient(X)&humble(X))))=>(?[X]:(~humble(X))))&
((?[X]:((s... | ~quiet(susan) | [] | null | 0 |
If someone is either kind or funny then someone is not happy or not quiet and vice versa.
Everyone who is both funny and strong is either not rich or not strong.
Everyone who is tall is not funny or not kind.
Everyone who is both happy and not happy is patient and vice versa.
Everyone who is either not patient or not b... | Lucy is not old. | neutral | ((?[X]:((kind(X)<~>funny(X))))<=>(?[X]:((~happy(X)|~quiet(X)))))&
(![X]:((funny(X)&strong(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(tall(X)=>(~funny(X)|~kind(X))))&
(![X]:((happy(X)&~happy(X))<=>patient(X)))&
(![X]:((~patient(X)<~>~brave(X))=>(quiet(X)<~>creative(X))))&
(![X]:((tall(X)|old(X))=>generous(X)))&
((?[X]:(pati... | ~old(lucy) | [] | null | 0 |
If mary is not funny then someone is both not kind and not happy and vice versa.
Everyone who is patient is both creative and not quiet and vice versa.
Everyone who is creative is both not patient and not old and vice versa.
Everyone who is kind is either not kind or not brave and vice versa.
If someone is both tall an... | Mary is strong. | contradiction | ((~funny(mary))<=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:(patient(X)<=>(creative(X)&~quiet(X))))&
(![X]:(creative(X)<=>(~patient(X)&~old(X))))&
(![X]:(kind(X)<=>(~kind(X)<~>~brave(X))))&
((?[X]:((tall(X)&~wise(X))))<=>(?[X]:((~quiet(X)|wise(X)))))&
(![X]:(~tall(X)<=>(calm(X)&old(X))))&
(![X]:(~calm(X)<=>(tall(X)|old(X))... | strong(mary) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 272002497172926924728101
% SZS output start Proof for 272002497172926924728101
6. ! [X0] : (~tall(X0) <=> (old(X0) & calm(X0))) [input p5]
7. ! [X0] : (~calm(X0) <=> (old(X0) | tall(X0))) [input p6]
15. ! [X0] : ((~strong(X0) <~> tall(X0)) => (~tall(X0) & ~calm(X0))) [input p14]
24. stron... | 0 |
If mary is either not humble or not rich then lucy is both not kind and wise. Everyone who is calm is creative or not generous. Everyone who is both not funny and old is either wise or not humble and vice versa. If mary is funny then someone is not happy and vice versa. Everyone who is not calm is either not wise or no... | John is tall. | contradiction | (((~humble(mary)<~>~rich(mary)))=>((~kind(lucy)&wise(lucy))))&
(![X]:(calm(X)=>(creative(X)|~generous(X))))&
(![X]:((~funny(X)&old(X))<=>(wise(X)<~>~humble(X))))&
((funny(mary))<=>(?[X]:(~happy(X))))&
(![X]:(~calm(X)=>(~wise(X)<~>~brave(X))))&
(((~wise(john)|generous(john)))=>(~strong(fred)))&
((~rich(fred))<=>((calm(f... | tall(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6175758754523543984284112
% SZS output start Proof for 6175758754523543984284112
13. ? [X0] : (strong(X0) <~> ~strong(X0)) => (~tall(john) & ~kind(john)) [input p12]
24. tall(john) [input hypothesis]
33. (~tall(john) & ~kind(john)) | ! [X0] : (strong(X0) <=> ~strong(X0)) [ennf transformat... | 0 |
If susan is calm or humble then mary is rich and vice versa. Everyone who is old is either wise or not happy and vice versa. Everyone who is strong is not old and vice versa. Everyone who is either not rich or humble is not old or not generous and vice versa. Everyone who is not old is both not tall and wise and vice v... | Paul is not strong. | entailment | (((calm(susan)|humble(susan)))<=>(rich(mary)))&
(![X]:(old(X)<=>(wise(X)<~>~happy(X))))&
(![X]:(strong(X)<=>~old(X)))&
(![X]:((~rich(X)<~>humble(X))<=>(~old(X)|~generous(X))))&
(![X]:(~old(X)<=>(~tall(X)&wise(X))))&
((~humble(alice))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:((~quiet(X)&~humble(X))=>~humble(X)))&
(![X]:... | ~strong(paul) | [
"p2",
"p4",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2074142735363425549537369
% SZS output start Proof for 2074142735363425549537369
3. ! [X0] : (strong(X0) <=> ~old(X0)) [input p2]
5. ! [X0] : (~old(X0) <=> (wise(X0) & ~tall(X0))) [input p4]
8. ! [X0] : ((~curious(X0) | ~tall(X0)) => (old(X0) <~> ~creative(X0))) [input p7]
17. creative(pa... | 0 |
If lucy is old then someone is generous or not quiet.
Everyone who is either not patient or creative is both not rich and generous and vice versa.
Everyone who is either kind or happy is either not tall or not humble.
Everyone who is not happy is humble or not funny.
If paul is either not old or not wise then someone i... | Alice is not generous. | entailment | ((old(lucy))=>(?[X]:((generous(X)|~quiet(X)))))&
(![X]:((~patient(X)<~>creative(X))<=>(~rich(X)&generous(X))))&
(![X]:((kind(X)<~>happy(X))=>(~tall(X)<~>~humble(X))))&
(![X]:(~happy(X)=>(humble(X)|~funny(X))))&
(((~old(paul)<~>~wise(paul)))<=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~rich(X)|creative(X))))&
(![X]:((~brav... | ~generous(alice) | [
"p1",
"p2",
"p5",
"p9",
"p11",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 427304459381245325684070
% SZS output start Proof for 427304459381245325684070
2. ! [X0] : ((~patient(X0) <~> creative(X0)) <=> (generous(X0) & ~rich(X0))) [input p1]
3. ! [X0] : ((kind(X0) <~> happy(X0)) => (~tall(X0) <~> ~humble(X0))) [input p2]
6. ! [X0] : (~tall(X0) <=> (creative(X0) ... | 0 |
Everyone who is both calm and kind is both humble and happy and vice versa.
If someone is both not tall and not quiet then paul is both not quiet and creative.
Everyone who is both not quiet and not funny is patient and vice versa.
Everyone who is both patient and not rich is both not happy and not creative and vice ve... | Paul is happy. | contradiction | (![X]:((calm(X)&kind(X))<=>(humble(X)&happy(X))))&
((?[X]:((~tall(X)&~quiet(X))))=>((~quiet(paul)&creative(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>patient(X)))&
(![X]:((patient(X)&~rich(X))<=>(~happy(X)&~creative(X))))&
(![X]:((~patient(X)<~>~humble(X))<=>tall(X)))&
((~wise(paul))<=>(rich(john)))&
((?[X]:(~happy(X)))<... | happy(paul) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 553342468757484075722926
% SZS output start Proof for 553342468757484075722926
1. ! [X0] : ((kind(X0) & calm(X0)) <=> (happy(X0) & humble(X0))) [input p0]
2. ? [X0] : (~quiet(X0) & ~tall(X0)) => (creative(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> patient(... | 0 |
If lucy is both happy and not happy then mary is tall or generous.
Everyone who is both not calm and old is both curious and brave.
Everyone who is not quiet or quiet is both not funny and not wise.
If someone is calm or not curious then someone is not tall and vice versa.
Everyone who is not humble or not rich is both... | Paul is not calm. | neutral | (((happy(lucy)&~happy(lucy)))=>((tall(mary)|generous(mary))))&
(![X]:((~calm(X)&old(X))=>(curious(X)&brave(X))))&
(![X]:((~quiet(X)|quiet(X))=>(~funny(X)&~wise(X))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~humble(X)|~rich(X))<=>(wise(X)&~brave(X))))&
(![X]:((generous(X)&~generous(X))<=>(~patient... | ~calm(paul) | [] | null | 0 |
If someone is not curious then someone is not generous and vice versa. Everyone who is calm or patient is both not old and not happy. Everyone who is either curious or not funny is not old and vice versa. Everyone who is either creative or not humble is humble or not generous and vice versa. If paul is either not tall ... | Fred is not generous. | neutral | ((?[X]:(~curious(X)))<=>(?[X]:(~generous(X))))&
(![X]:((calm(X)|patient(X))=>(~old(X)&~happy(X))))&
(![X]:((curious(X)<~>~funny(X))<=>~old(X)))&
(![X]:((creative(X)<~>~humble(X))<=>(humble(X)|~generous(X))))&
(((~tall(paul)<~>~wise(paul)))=>(?[X]:((generous(X)|~funny(X)))))&
(((~generous(fred)<~>strong(fred)))<=>(kind(... | ~generous(fred) | [] | null | 0 |
Everyone who is both not creative and curious is either strong or wise and vice versa.
Everyone who is not curious or funny is either not strong or not generous and vice versa.
If someone is not wise or calm then mary is either old or not kind and vice versa.
If alice is not funny or not old then someone is both curiou... | Paul is creative. | entailment | (![X]:((~creative(X)&curious(X))<=>(strong(X)<~>wise(X))))&
(![X]:((~curious(X)|funny(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((old(mary)<~>~kind(mary))))&
(((~funny(alice)|~old(alice)))=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~old(X)|~strong(X))<=>(~generous(X)&tall(X))))&
(![X]:((humb... | creative(paul) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4203209478203919895768122
% SZS output start Proof for 4203209478203919895768122
10. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (funny(X0) & generous(X0))) [input p9]
16. ! [X0] : (creative(X0) <=> (creative(X0) | funny(X0))) [input p15]
23. ~creative(paul) [input hypothesis]
53. ! [X0] : (((t... | 0 |
Everyone who is either not patient or kind is not strong and vice versa.
Everyone who is not funny or not old is tall or happy.
If lucy is both not tall and not humble then someone is either not strong or kind.
If someone is humble then someone is both calm and funny and vice versa.
If someone is not kind or not creati... | Fred is generous. | neutral | (![X]:((~patient(X)<~>kind(X))<=>~strong(X)))&
(![X]:((~funny(X)|~old(X))=>(tall(X)|happy(X))))&
(((~tall(lucy)&~humble(lucy)))=>(?[X]:((~strong(X)<~>kind(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((calm(X)&funny(X)))))&
((?[X]:((~kind(X)|~creative(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((quiet(X)<~>curious(X))))=>(... | generous(fred) | [] | null | 0 |
If someone is either not rich or tall then someone is either creative or patient.
If susan is both curious and not funny then someone is not patient.
If someone is quiet or not rich then fred is not funny.
Everyone who is not curious is both quiet and not old.
If lucy is curious or not curious then mary is not curious ... | Mary is rich. | contradiction | ((?[X]:((~rich(X)<~>tall(X))))=>(?[X]:((creative(X)<~>patient(X)))))&
(((curious(susan)&~funny(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((quiet(X)|~rich(X))))=>(~funny(fred)))&
(![X]:(~curious(X)=>(quiet(X)&~old(X))))&
(((curious(lucy)|~curious(lucy)))<=>(~curious(mary)))&
(((~generous(fred)&~curious(fred)))=>(?[X]:((cu... | rich(mary) | [
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2834264161271076146991791
% SZS output start Proof for 2834264161271076146991791
4. ! [X0] : (~curious(X0) => (~old(X0) & quiet(X0))) [input p3]
5. (~curious(lucy) | curious(lucy)) <=> ~curious(mary) [input p4]
9. ! [X0] : ((~rich(X0) <~> quiet(X0)) <=> (~curious(X0) & curious(X0))) [inpu... | 0 |
If someone is brave or rich then someone is not old.
Everyone who is both quiet and not generous is not tall or rich.
Everyone who is either not wise or quiet is either rich or humble.
Everyone who is either not happy or patient is not wise or not brave and vice versa.
If someone is either tall or not brave then someon... | Fred is not funny. | entailment | ((?[X]:((brave(X)|rich(X))))=>(?[X]:(~old(X))))&
(![X]:((quiet(X)&~generous(X))=>(~tall(X)|rich(X))))&
(![X]:((~wise(X)<~>quiet(X))=>(rich(X)<~>humble(X))))&
(![X]:((~happy(X)<~>patient(X))<=>(~wise(X)|~brave(X))))&
((?[X]:((tall(X)<~>~brave(X))))=>(?[X]:((tall(X)|~kind(X)))))&
((wise(susan))=>(?[X]:((~old(X)&happy(X))... | ~funny(fred) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1830905527907478954622212
% SZS output start Proof for 1830905527907478954622212
11. ? [X0] : (~tall(X0) | ~creative(X0)) => (~funny(fred) & ~generous(fred)) [input p10]
17. ? [X0] : ~tall(X0) [input p16]
25. funny(fred) [input hypothesis]
40. (~funny(fred) & ~generous(fred)) | ! [X0] : (... | 0 |
If someone is curious or not kind then someone is creative or not curious and vice versa.
Everyone who is either not old or quiet is happy.
Everyone who is not wise or not generous is either curious or not curious and vice versa.
Everyone who is both not humble and brave is both brave and wise.
Everyone who is either n... | Susan is humble. | contradiction | ((?[X]:((curious(X)|~kind(X))))<=>(?[X]:((creative(X)|~curious(X)))))&
(![X]:((~old(X)<~>quiet(X))=>happy(X)))&
(![X]:((~wise(X)|~generous(X))<=>(curious(X)<~>~curious(X))))&
(![X]:((~humble(X)&brave(X))=>(brave(X)&wise(X))))&
(![X]:((~old(X)<~>~humble(X))=>(~wise(X)<~>calm(X))))&
(![X]:((quiet(X)&~patient(X))<=>(~kind... | humble(susan) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3986644805240320361503314
% SZS output start Proof for 3986644805240320361503314
16. humble(susan) <=> ~creative(mary) [input p15]
17. creative(mary) [input p16]
25. humble(susan) [input hypothesis]
64. (humble(susan) | creative(mary)) & (~creative(mary) | ~humble(susan)) [nnf transformat... | 0 |
Everyone who is either not curious or not funny is either brave or calm and vice versa.
Everyone who is not calm is both not quiet and happy and vice versa.
Everyone who is either happy or not kind is either not quiet or rich and vice versa.
Everyone who is either brave or not happy is both curious and tall.
If paul is... | Susan is wise. | neutral | (![X]:((~curious(X)<~>~funny(X))<=>(brave(X)<~>calm(X))))&
(![X]:(~calm(X)<=>(~quiet(X)&happy(X))))&
(![X]:((happy(X)<~>~kind(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((brave(X)<~>~happy(X))=>(curious(X)&tall(X))))&
(((~humble(paul)<~>~rich(paul)))=>(curious(susan)))&
(((humble(paul)<~>~creative(paul)))<=>(?[X]:((~creative... | wise(susan) | [] | null | 0 |
Everyone who is either not brave or not happy is not funny.
Everyone who is not quiet or not curious is not kind or not humble.
Everyone who is not humble or brave is both rich and patient and vice versa.
If susan is rich or not rich then someone is not brave or tall.
If paul is not tall or curious then someone is eith... | Susan is not curious. | neutral | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~humble(X)|brave(X))<=>(rich(X)&patient(X))))&
(((rich(susan)|~rich(susan)))=>(?[X]:((~brave(X)|tall(X)))))&
(((~tall(paul)|curious(paul)))<=>(?[X]:((~creative(X)<~>~rich(X)))))&
(![X]:((~brave(X)|~tall(X))=>(k... | ~curious(susan) | [] | null | 0 |
Everyone who is both old and not wise is either not strong or not quiet. If someone is happy then someone is both old and not old. Everyone who is either not old or not humble is patient or not quiet. If someone is both not tall and not happy then someone is both not generous and not funny. Everyone who is both not cur... | Mary is rich. | contradiction | (![X]:((old(X)&~wise(X))=>(~strong(X)<~>~quiet(X))))&
((?[X]:(happy(X)))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((~old(X)<~>~humble(X))=>(patient(X)|~quiet(X))))&
((?[X]:((~tall(X)&~happy(X))))=>(?[X]:((~generous(X)&~funny(X)))))&
(![X]:((~curious(X)&~old(X))=>(~funny(X)&brave(X))))&
(![X]:(~creative(X)<=>(patient(X)&humbl... | rich(mary) | [
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3535933414851493815962615
% SZS output start Proof for 3535933414851493815962615
19. ~rich(mary) | creative(mary) [input p18]
21. ~creative(mary) [input p20]
25. rich(mary) [input hypothesis]
129. ~rich(mary) | creative(mary) [cnf transformation 19]
132. ~creative(mary) [cnf transformatio... | 0 |
Everyone who is either not quiet or not brave is either not kind or calm and vice versa.
Everyone who is not humble is either not humble or not creative.
If paul is not patient then someone is not quiet or brave and vice versa.
Everyone who is humble or not wise is happy or not rich.
If alice is brave then lucy is both... | Lucy is not tall. | contradiction | (![X]:((~quiet(X)<~>~brave(X))<=>(~kind(X)<~>calm(X))))&
(![X]:(~humble(X)=>(~humble(X)<~>~creative(X))))&
((~patient(paul))<=>(?[X]:((~quiet(X)|brave(X)))))&
(![X]:((humble(X)|~wise(X))=>(happy(X)|~rich(X))))&
((brave(alice))<=>((tall(lucy)&~happy(lucy))))&
((?[X]:((kind(X)&creative(X))))<=>((funny(susan)|happy(susan)... | ~tall(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7157137581012447567587712
% SZS output start Proof for 7157137581012447567587712
17. tall(lucy) [input p16]
25. ~tall(lucy) [input hypothesis]
148. tall(lucy) [cnf transformation 17]
158. ~tall(lucy) [cnf transformation 25]
187. 6 <=> tall(lucy) [avatar definition]
313. 6 [avatar split cl... | 0 |
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