premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is happy is both not happy and not calm and vice versa. If alice is either not happy or patient then john is old. If susan is either tall or creative then someone is curious. Everyone who is rich is calm and vice versa. If someone is not wise then fred is either creative or not brave. Everyone who is eithe... | Alice is wise. | contradiction | (![X]:(happy(X)<=>(~happy(X)&~calm(X))))&
(((~happy(alice)<~>patient(alice)))=>(old(john)))&
(((tall(susan)<~>creative(susan)))=>(?[X]:(curious(X))))&
(![X]:(rich(X)<=>calm(X)))&
((?[X]:(~wise(X)))=>((creative(fred)<~>~brave(fred))))&
(![X]:((funny(X)<~>~wise(X))=>(calm(X)|funny(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~w... | wise(alice) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4724153350410776139781319
% SZS output start Proof for 4724153350410776139781319
1. ! [X0] : (happy(X0) <=> (~calm(X0) & ~happy(X0))) [input p0]
13. ! [X0] : ((~humble(X0) | wise(X0)) <=> happy(X0)) [input p12]
23. wise(alice) [input hypothesis]
34. ! [X0] : ((happy(X0) | (calm(X0) | happ... | 0 |
If someone is either humble or funny then paul is both rich and not old.
Everyone who is both not rich and strong is both brave and not patient and vice versa.
If paul is either old or not wise then lucy is either not rich or not wise and vice versa.
Everyone who is not kind or funny is not quiet and vice versa.
Everyo... | John is old. | entailment | ((?[X]:((humble(X)<~>funny(X))))=>((rich(paul)&~old(paul))))&
(![X]:((~rich(X)&strong(X))<=>(brave(X)&~patient(X))))&
(((old(paul)<~>~wise(paul)))<=>((~rich(lucy)<~>~wise(lucy))))&
(![X]:((~kind(X)|funny(X))<=>~quiet(X)))&
(![X]:((~patient(X)|curious(X))=>~patient(X)))&
(((~strong(mary)&~calm(mary)))=>(?[X]:((tall(X)|b... | old(john) | [
"p4",
"p6",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8317284138299408617884600
% SZS output start Proof for 8317284138299408617884600
5. ! [X0] : ((curious(X0) | ~patient(X0)) => ~patient(X0)) [input p4]
7. ! [X0] : ((kind(X0) | generous(X0)) => ~funny(X0)) [input p6]
8. ? [X0] : (~happy(X0) & ~strong(X0)) <=> (patient(john) & ~wise(john)) ... | 0 |
If alice is either curious or not brave then mary is brave and vice versa. Everyone who is happy or not calm is patient and vice versa. Everyone who is not old is both strong and not tall. Everyone who is either not creative or brave is happy or not tall. If alice is rich or wise then john is funny. Everyone who is eit... | Paul is not happy. | neutral | (((curious(alice)<~>~brave(alice)))<=>(brave(mary)))&
(![X]:((happy(X)|~calm(X))<=>patient(X)))&
(![X]:(~old(X)=>(strong(X)&~tall(X))))&
(![X]:((~creative(X)<~>brave(X))=>(happy(X)|~tall(X))))&
(((rich(alice)|wise(alice)))=>(funny(john)))&
(![X]:((~tall(X)<~>quiet(X))<=>creative(X)))&
((?[X]:(~creative(X)))=>(~tall(pau... | ~happy(paul) | [] | null | 0 |
If paul is either wise or not generous then someone is either not rich or rich and vice versa. If lucy is brave or patient then someone is not old or rich. If someone is either calm or not rich then fred is not quiet or strong and vice versa. Everyone who is either not curious or wise is both not happy and calm and vic... | John is humble. | contradiction | (((wise(paul)<~>~generous(paul)))<=>(?[X]:((~rich(X)<~>rich(X)))))&
(((brave(lucy)|patient(lucy)))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((calm(X)<~>~rich(X))))<=>((~quiet(fred)|strong(fred))))&
(![X]:((~curious(X)<~>wise(X))<=>(~happy(X)&calm(X))))&
(![X]:((old(X)<~>~old(X))<=>(~quiet(X)|~humble(X))))&
(![X]:((patient(... | humble(john) | [
"p4",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 729280110774485126341918
% SZS output start Proof for 729280110774485126341918
5. ! [X0] : ((old(X0) <~> ~old(X0)) <=> (~humble(X0) | ~quiet(X0))) [input p4]
8. ? [X0] : (~quiet(X0) & generous(X0)) <=> (brave(john) & curious(john)) [input p7]
14. ! [X0] : (~generous(X0) => (humble(X0) & g... | 0 |
Everyone who is either not quiet or not old is rich or not humble.
Everyone who is patient or not kind is both not quiet and not tall.
Everyone who is both not kind and not patient is not wise and vice versa.
Everyone who is both not rich and wise is wise or not happy and vice versa.
Everyone who is both strong and not... | Fred is rich. | contradiction | (![X]:((~quiet(X)<~>~old(X))=>(rich(X)|~humble(X))))&
(![X]:((patient(X)|~kind(X))=>(~quiet(X)&~tall(X))))&
(![X]:((~kind(X)&~patient(X))<=>~wise(X)))&
(![X]:((~rich(X)&wise(X))<=>(wise(X)|~happy(X))))&
(![X]:((strong(X)&~tall(X))=>(funny(X)&~strong(X))))&
(((~patient(lucy)<~>~tall(lucy)))<=>(?[X]:((creative(X)&~curiou... | rich(fred) | [
"p1",
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5673168610628138275637196
% SZS output start Proof for 5673168610628138275637196
2. ! [X0] : ((~kind(X0) | patient(X0)) => (~tall(X0) & ~quiet(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & ~kind(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (~happy(X0) | wise(X0))... | 0 |
If fred is rich or not creative then someone is both tall and humble and vice versa.
If mary is both quiet and wise then someone is both kind and old and vice versa.
If paul is brave or not funny then paul is not calm and vice versa.
Everyone who is either wise or not happy is not brave or calm and vice versa.
Everyone... | Lucy is not old. | contradiction | (((rich(fred)|~creative(fred)))<=>(?[X]:((tall(X)&humble(X)))))&
(((quiet(mary)&wise(mary)))<=>(?[X]:((kind(X)&old(X)))))&
(((brave(paul)|~funny(paul)))<=>(~calm(paul)))&
(![X]:((wise(X)<~>~happy(X))<=>(~brave(X)|calm(X))))&
(![X]:((brave(X)&quiet(X))<=>(old(X)|kind(X))))&
((?[X]:(calm(X)))=>((~funny(mary)|rich(mary)))... | ~old(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7535693432848640735791861
% SZS output start Proof for 7535693432848640735791861
20. old(lucy) [input p19]
24. ~old(lucy) [input hypothesis]
129. old(lucy) [cnf transformation 20]
134. ~old(lucy) [cnf transformation 24]
274. 30 <=> old(lucy) [avatar definition]
320. 30 [avatar split claus... | 0 |
Everyone who is either not brave or brave is either patient or quiet.
Everyone who is both not humble and patient is happy or kind and vice versa.
If fred is not old or not creative then someone is both not calm and not patient and vice versa.
Everyone who is both not curious and not creative is quiet or curious.
If so... | Fred is not quiet. | entailment | (![X]:((~brave(X)<~>brave(X))=>(patient(X)<~>quiet(X))))&
(![X]:((~humble(X)&patient(X))<=>(happy(X)|kind(X))))&
(((~old(fred)|~creative(fred)))<=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~creative(X))=>(quiet(X)|curious(X))))&
((?[X]:((rich(X)<~>old(X))))<=>((humble(paul)<~>funny(paul))))&
(((funny(mary)|... | ~quiet(fred) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7571174364460106055479005
% SZS output start Proof for 7571174364460106055479005
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => (patient(X0) <~> quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (kind(X0) | happy(X0))) [input p1]
3. (~creative(fred) | ~old(fred)) <=> ? [X0] ... | 0 |
Everyone who is not patient is not creative or not patient.
If alice is either not brave or not creative then someone is not humble and vice versa.
If someone is both quiet and wise then lucy is rich or not rich.
Everyone who is not happy is wise or rich and vice versa.
Everyone who is quiet or calm is either patient o... | John is brave. | neutral | (![X]:(~patient(X)=>(~creative(X)|~patient(X))))&
(((~brave(alice)<~>~creative(alice)))<=>(?[X]:(~humble(X))))&
((?[X]:((quiet(X)&wise(X))))=>((rich(lucy)|~rich(lucy))))&
(![X]:(~happy(X)<=>(wise(X)|rich(X))))&
(![X]:((quiet(X)|calm(X))=>(patient(X)<~>~humble(X))))&
(![X]:((~curious(X)&~happy(X))=>funny(X)))&
(![X]:(~r... | brave(john) | [] | null | 0 |
If someone is not brave or curious then someone is not wise and vice versa. If someone is not happy or funny then john is not generous and vice versa. Everyone who is not old is both not calm and not patient and vice versa. Everyone who is generous is either not strong or not funny and vice versa. Everyone who is not k... | Alice is not old. | neutral | ((?[X]:((~brave(X)|curious(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((~happy(X)|funny(X))))<=>(~generous(john)))&
(![X]:(~old(X)<=>(~calm(X)&~patient(X))))&
(![X]:(generous(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:(~kind(X)<=>(~funny(X)<~>patient(X))))&
(![X]:((~wise(X)<~>rich(X))=>(~generous(X)&~rich(X))))&
(![X]:((tall(X)|~g... | ~old(alice) | [] | null | 0 |
If someone is not calm or not strong then someone is not curious.
If alice is both creative and not old then someone is not brave or funny.
Everyone who is not rich is both not happy and brave.
Everyone who is not humble is either not happy or brave and vice versa.
If someone is patient or rich then someone is either n... | John is not quiet. | entailment | ((?[X]:((~calm(X)|~strong(X))))=>(?[X]:(~curious(X))))&
(((creative(alice)&~old(alice)))=>(?[X]:((~brave(X)|funny(X)))))&
(![X]:(~rich(X)=>(~happy(X)&brave(X))))&
(![X]:(~humble(X)<=>(~happy(X)<~>brave(X))))&
((?[X]:((patient(X)|rich(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((brave(X)|~strong(X))<=>(~rich(X)<~... | ~quiet(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 151888540710198619789512
% SZS output start Proof for 151888540710198619789512
15. ! [X0] : ((patient(X0) | quiet(X0)) <=> ~quiet(X0)) [input p14]
25. quiet(john) [input hypothesis]
70. ! [X0] : (((patient(X0) | quiet(X0)) | quiet(X0)) & (~quiet(X0) | (~patient(X0) & ~quiet(X0)))) [nnf tr... | 0 |
If someone is creative then mary is either not creative or rich.
If someone is strong then paul is not strong and vice versa.
Everyone who is either not funny or not generous is wise and vice versa.
Everyone who is both calm and not wise is both not quiet and rich and vice versa.
If someone is not kind or kind then som... | Paul is generous. | neutral | ((?[X]:(creative(X)))=>((~creative(mary)<~>rich(mary))))&
((?[X]:(strong(X)))<=>(~strong(paul)))&
(![X]:((~funny(X)<~>~generous(X))<=>wise(X)))&
(![X]:((calm(X)&~wise(X))<=>(~quiet(X)&rich(X))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~kind(X)|quiet(X)))))&
(![X]:((~old(X)&~kind(X))=>~strong(X)))&
(![X]:(~happy(X)<=>br... | generous(paul) | [] | null | 0 |
If paul is both not brave and old then paul is quiet.
Everyone who is both not wise and generous is not calm.
Everyone who is either not creative or funny is not creative.
If someone is quiet then someone is either tall or creative.
Everyone who is both calm and strong is tall.
Everyone who is not patient is either not... | Mary is not creative. | entailment | (((~brave(paul)&old(paul)))=>(quiet(paul)))&
(![X]:((~wise(X)&generous(X))=>~calm(X)))&
(![X]:((~creative(X)<~>funny(X))=>~creative(X)))&
((?[X]:(quiet(X)))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((calm(X)&strong(X))=>tall(X)))&
(![X]:(~patient(X)<=>(~patient(X)<~>~wise(X))))&
(![X]:((calm(X)<~>generous(X))=>~calm(X... | ~creative(mary) | [
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8784734417151073526621118
% SZS output start Proof for 8784734417151073526621118
3. ! [X0] : ((~creative(X0) <~> funny(X0)) => ~creative(X0)) [input p2]
9. ! [X0] : ((kind(X0) | curious(X0)) => (creative(X0) <~> curious(X0))) [input p8]
13. ! [X0] : (~funny(X0) <=> (curious(X0) & humble(X... | 0 |
If someone is not tall then john is not rich.
Everyone who is strong or kind is brave or not funny.
If someone is both wise and strong then someone is either not rich or wise.
Everyone who is not kind or not brave is not tall or tall.
If mary is either not happy or not wise then susan is brave or kind.
Everyone who is ... | Susan is not creative. | neutral | ((?[X]:(~tall(X)))=>(~rich(john)))&
(![X]:((strong(X)|kind(X))=>(brave(X)|~funny(X))))&
((?[X]:((wise(X)&strong(X))))=>(?[X]:((~rich(X)<~>wise(X)))))&
(![X]:((~kind(X)|~brave(X))=>(~tall(X)|tall(X))))&
(((~happy(mary)<~>~wise(mary)))=>((brave(susan)|kind(susan))))&
(![X]:((~kind(X)<~>~rich(X))=>(~humble(X)&~funny(X))))... | ~creative(susan) | [] | null | 0 |
Everyone who is both not brave and not wise is kind and vice versa.
Everyone who is not old or not curious is quiet and vice versa.
If someone is tall or not brave then someone is not humble and vice versa.
Everyone who is kind or not humble is either creative or not generous.
Everyone who is tall or not wise is not ki... | Paul is not kind. | entailment | (![X]:((~brave(X)&~wise(X))<=>kind(X)))&
(![X]:((~old(X)|~curious(X))<=>quiet(X)))&
((?[X]:((tall(X)|~brave(X))))<=>(?[X]:(~humble(X))))&
(![X]:((kind(X)|~humble(X))=>(creative(X)<~>~generous(X))))&
(![X]:((tall(X)|~wise(X))=>~kind(X)))&
((?[X]:((old(X)<~>~brave(X))))<=>((~rich(paul)|kind(paul))))&
(![X]:(~humble(X)=>(... | ~kind(paul) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 303378744626289673639460
% SZS output start Proof for 303378744626289673639460
1. ! [X0] : ((~wise(X0) & ~brave(X0)) <=> kind(X0)) [input p0]
5. ! [X0] : ((~wise(X0) | tall(X0)) => ~kind(X0)) [input p4]
25. kind(paul) [input hypothesis]
28. ! [X0] : (~kind(X0) | (wise(X0) & ~tall(X0))) [e... | 0 |
Everyone who is generous is both creative and tall and vice versa.
Everyone who is not strong is brave or tall and vice versa.
If lucy is tall or not happy then fred is humble.
If someone is both patient and not happy then alice is both not creative and happy.
Everyone who is either humble or tall is either tall or not... | Lucy is not generous. | entailment | (![X]:(generous(X)<=>(creative(X)&tall(X))))&
(![X]:(~strong(X)<=>(brave(X)|tall(X))))&
(((tall(lucy)|~happy(lucy)))=>(humble(fred)))&
((?[X]:((patient(X)&~happy(X))))=>((~creative(alice)&happy(alice))))&
(![X]:((humble(X)<~>tall(X))<=>(tall(X)<~>~kind(X))))&
(![X]:((old(X)&~generous(X))<=>~rich(X)))&
((brave(fred))=>(... | ~generous(lucy) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6557323495747313709130066
% SZS output start Proof for 6557323495747313709130066
1. ! [X0] : (generous(X0) <=> (tall(X0) & creative(X0))) [input p0]
19. ~creative(lucy) & ~calm(lucy) [input p18]
25. generous(lucy) [input hypothesis]
40. ! [X0] : ((generous(X0) | (~tall(X0) | ~creative(X0)... | 0 |
Everyone who is either strong or quiet is creative. Everyone who is both not happy and old is both not brave and not happy. Everyone who is either not patient or not generous is brave. If lucy is strong or quiet then someone is either not kind or not happy. Everyone who is patient is either not creative or wise. If som... | Paul is not quiet. | entailment | (![X]:((strong(X)<~>quiet(X))=>creative(X)))&
(![X]:((~happy(X)&old(X))=>(~brave(X)&~happy(X))))&
(![X]:((~patient(X)<~>~generous(X))=>brave(X)))&
(((strong(lucy)|quiet(lucy)))=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:(patient(X)=>(~creative(X)<~>wise(X))))&
((?[X]:((brave(X)&~kind(X))))<=>((funny(paul)|quiet(paul))))&... | ~quiet(paul) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4824337844202754650879226
% SZS output start Proof for 4824337844202754650879226
12. ! [X0] : ((~calm(X0) | tall(X0)) <=> (quiet(X0) & calm(X0))) [input p11]
20. ~tall(paul) & ~funny(paul) [input p19]
24. quiet(paul) [input hypothesis]
57. ! [X0] : (((~calm(X0) | tall(X0)) | (~quiet(X0) |... | 0 |
Everyone who is either not curious or funny is not creative and vice versa. If susan is either not patient or old then mary is happy and vice versa. Everyone who is not kind is either not curious or not strong and vice versa. Everyone who is both not generous and quiet is either tall or not rich and vice versa. Everyon... | Paul is not patient. | contradiction | (![X]:((~curious(X)<~>funny(X))<=>~creative(X)))&
(((~patient(susan)<~>old(susan)))<=>(happy(mary)))&
(![X]:(~kind(X)<=>(~curious(X)<~>~strong(X))))&
(![X]:((~generous(X)&quiet(X))<=>(tall(X)<~>~rich(X))))&
(![X]:((happy(X)<~>tall(X))=>(~kind(X)&strong(X))))&
(![X]:((kind(X)<~>old(X))<=>(tall(X)<~>~creative(X))))&
(![X... | ~patient(paul) | [
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3537788214164862429383817
% SZS output start Proof for 3537788214164862429383817
11. ~curious(paul) <=> ? [X0] : ~calm(X0) [input p10]
14. ! [X0] : ((~curious(X0) | tall(X0)) <=> (patient(X0) & brave(X0))) [input p13]
22. ? [X0] : ~calm(X0) [input p21]
25. ~patient(paul) [input hypothesis... | 0 |
Everyone who is both quiet and not funny is not wise. Everyone who is both not humble and kind is both not wise and strong and vice versa. Everyone who is both not tall and calm is not happy or patient and vice versa. If someone is not strong or humble then someone is either not happy or not humble. Everyone who is not... | Mary is not happy. | contradiction | (![X]:((quiet(X)&~funny(X))=>~wise(X)))&
(![X]:((~humble(X)&kind(X))<=>(~wise(X)&strong(X))))&
(![X]:((~tall(X)&calm(X))<=>(~happy(X)|patient(X))))&
((?[X]:((~strong(X)|humble(X))))=>(?[X]:((~happy(X)<~>~humble(X)))))&
(![X]:(~humble(X)=>(happy(X)|~generous(X))))&
(((strong(john)<~>~kind(john)))<=>(?[X]:((~quiet(X)<~>~... | ~happy(mary) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 24213532507316723757635
% SZS output start Proof for 24213532507316723757635
3. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (patient(X0) | ~happy(X0))) [input p2]
10. ! [X0] : ((~tall(X0) & ~happy(X0)) => (tall(X0) <~> happy(X0))) [input p9]
24. ~happy(mary) [input hypothesis]
32. ! [X0] : ((tal... | 0 |
Everyone who is either not quiet or not happy is not humble and vice versa.
If someone is funny or kind then someone is not tall or not patient and vice versa.
If fred is either strong or creative then someone is either happy or creative and vice versa.
If someone is kind or generous then john is kind or not creative.
... | Susan is rich. | entailment | (![X]:((~quiet(X)<~>~happy(X))<=>~humble(X)))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~tall(X)|~patient(X)))))&
(((strong(fred)<~>creative(fred)))<=>(?[X]:((happy(X)<~>creative(X)))))&
((?[X]:((kind(X)|generous(X))))=>((kind(john)|~creative(john))))&
(![X]:((~brave(X)<~>quiet(X))<=>~patient(X)))&
(![X]:(quiet(X)<=>(~hu... | rich(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3071459463102628168595033
% SZS output start Proof for 3071459463102628168595033
23. ~old(susan) & rich(susan) [input p22]
25. ~rich(susan) [input hypothesis]
140. rich(susan) [cnf transformation 23]
144. ~rich(susan) [cnf transformation 25]
341. $false [subsumption resolution 144,140]
% ... | 0 |
If alice is not curious or kind then paul is calm. Everyone who is strong is either not curious or funny. Everyone who is funny or quiet is funny and vice versa. If lucy is both not happy and not tall then paul is kind or not calm and vice versa. Everyone who is happy is both not patient and creative. Everyone who is w... | Mary is not tall. | contradiction | (((~curious(alice)|kind(alice)))=>(calm(paul)))&
(![X]:(strong(X)=>(~curious(X)<~>funny(X))))&
(![X]:((funny(X)|quiet(X))<=>funny(X)))&
(((~happy(lucy)&~tall(lucy)))<=>((kind(paul)|~calm(paul))))&
(![X]:(happy(X)=>(~patient(X)&creative(X))))&
(![X]:(wise(X)<=>generous(X)))&
(![X]:(~curious(X)=>(~strong(X)|quiet(X))))&
... | ~tall(mary) | [
"p5",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6671132060903372827102355
% SZS output start Proof for 6671132060903372827102355
6. ! [X0] : (wise(X0) <=> generous(X0)) [input p5]
12. ! [X0] : (~tall(X0) => generous(X0)) [input p11]
20. ~humble(mary) & ~wise(mary) [input p19]
23. ~tall(mary) [input hypothesis]
33. ! [X0] : (generous(X0... | 0 |
Everyone who is not funny is curious or not tall. Everyone who is either not calm or rich is wise and vice versa. If susan is not generous then fred is both tall and not curious. If lucy is not generous then john is both not brave and creative. If paul is patient then someone is humble or patient and vice versa. Everyo... | Mary is not creative. | neutral | (![X]:(~funny(X)=>(curious(X)|~tall(X))))&
(![X]:((~calm(X)<~>rich(X))<=>wise(X)))&
((~generous(susan))=>((tall(fred)&~curious(fred))))&
((~generous(lucy))=>((~brave(john)&creative(john))))&
((patient(paul))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:(generous(X)<=>(~kind(X)<~>~generous(X))))&
(![X]:((rich(X)|wise(X))=>... | ~creative(mary) | [] | null | 0 |
If alice is not humble or calm then someone is either creative or not strong. If someone is both not tall and not strong then someone is either generous or wise. Everyone who is old is both humble and happy and vice versa. If someone is both generous and not funny then someone is either calm or generous. If someone is ... | Susan is generous. | neutral | (((~humble(alice)|calm(alice)))=>(?[X]:((creative(X)<~>~strong(X)))))&
((?[X]:((~tall(X)&~strong(X))))=>(?[X]:((generous(X)<~>wise(X)))))&
(![X]:(old(X)<=>(humble(X)&happy(X))))&
((?[X]:((generous(X)&~funny(X))))=>(?[X]:((calm(X)<~>generous(X)))))&
((?[X]:((wise(X)<~>~old(X))))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]... | generous(susan) | [] | null | 0 |
Everyone who is either not creative or quiet is calm.
Everyone who is old or not happy is either patient or not tall.
Everyone who is not curious is either not tall or wise and vice versa.
If john is either not tall or funny then mary is either not wise or humble and vice versa.
Everyone who is both not brave and rich ... | Lucy is not funny. | entailment | (![X]:((~creative(X)<~>quiet(X))=>calm(X)))&
(![X]:((old(X)|~happy(X))=>(patient(X)<~>~tall(X))))&
(![X]:(~curious(X)<=>(~tall(X)<~>wise(X))))&
(((~tall(john)<~>funny(john)))<=>((~wise(mary)<~>humble(mary))))&
(![X]:((~brave(X)&rich(X))=>(old(X)|wise(X))))&
(((~humble(fred)&strong(fred)))<=>((generous(paul)&funny(paul)... | ~funny(lucy) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1655445415476523343883601
% SZS output start Proof for 1655445415476523343883601
10. ? [X0] : (~rich(X0) | ~creative(X0)) => (old(lucy) & ~funny(lucy)) [input p9]
21. ~rich(alice) & ~brave(alice) [input p20]
25. funny(lucy) [input hypothesis]
34. (old(lucy) & ~funny(lucy)) | ! [X0] : (ric... | 0 |
Everyone who is both old and curious is quiet and vice versa.
Everyone who is both not old and not kind is not curious or curious and vice versa.
Everyone who is humble is both not creative and generous.
If someone is both humble and strong then someone is tall or not wise and vice versa.
If fred is not tall then lucy ... | John is brave. | entailment | (![X]:((old(X)&curious(X))<=>quiet(X)))&
(![X]:((~old(X)&~kind(X))<=>(~curious(X)|curious(X))))&
(![X]:(humble(X)=>(~creative(X)&generous(X))))&
((?[X]:((humble(X)&strong(X))))<=>(?[X]:((tall(X)|~wise(X)))))&
((~tall(fred))<=>((~tall(lucy)|~patient(lucy))))&
((strong(john))=>((~quiet(mary)&humble(mary))))&
((~funny(sus... | brave(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 227853914771046603285646
% SZS output start Proof for 227853914771046603285646
12. brave(john) <=> (~brave(john) | curious(john)) [input p11]
23. ~brave(john) [input hypothesis]
53. (brave(john) | (brave(john) & ~curious(john))) & ((~brave(john) | curious(john)) | ~brave(john)) [nnf trans... | 0 |
Everyone who is both quiet and not generous is either not tall or brave and vice versa.
If someone is either strong or wise then fred is funny and vice versa.
Everyone who is either not happy or old is either quiet or creative.
Everyone who is both humble and tall is not humble or not calm and vice versa.
If susan is e... | Susan is brave. | entailment | (![X]:((quiet(X)&~generous(X))<=>(~tall(X)<~>brave(X))))&
((?[X]:((strong(X)<~>wise(X))))<=>(funny(fred)))&
(![X]:((~happy(X)<~>old(X))=>(quiet(X)<~>creative(X))))&
(![X]:((humble(X)&tall(X))<=>(~humble(X)|~calm(X))))&
(((wise(susan)<~>happy(susan)))=>((humble(alice)<~>old(alice))))&
(![X]:((~tall(X)&~wise(X))<=>~brave... | brave(susan) | [
"p0",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2920182888513014666753885
% SZS output start Proof for 2920182888513014666753885
1. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (~tall(X0) <~> brave(X0))) [input p0]
6. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> ~brave(X0)) [input p5]
7. ! [X0] : ((generous(X0) & humble(X0)) <=> (~tall(X0) | tal... | 0 |
Everyone who is both funny and happy is rich or not calm and vice versa. Everyone who is not tall is tall. If someone is either funny or tall then alice is not old or not wise. If someone is either kind or not creative then john is rich and vice versa. If fred is either not generous or not strong then someone is both h... | Alice is creative. | contradiction | (![X]:((funny(X)&happy(X))<=>(rich(X)|~calm(X))))&
(![X]:(~tall(X)=>tall(X)))&
((?[X]:((funny(X)<~>tall(X))))=>((~old(alice)|~wise(alice))))&
((?[X]:((kind(X)<~>~creative(X))))<=>(rich(john)))&
(((~generous(fred)<~>~strong(fred)))=>(?[X]:((happy(X)&patient(X)))))&
(((~wise(alice)&~rich(alice)))<=>(?[X]:(rich(X))))&
(![... | creative(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 637439687801934945079769
% SZS output start Proof for 637439687801934945079769
7. ! [X0] : ((~happy(X0) | creative(X0)) => (curious(X0) & ~curious(X0))) [input p6]
24. creative(alice) [input hypothesis]
32. ! [X0] : ((curious(X0) & ~curious(X0)) | (happy(X0) & ~creative(X0))) [ennf transf... | 0 |
If someone is not rich or curious then someone is not rich and vice versa.
If someone is quiet then paul is both not kind and not calm and vice versa.
If someone is both not curious and not rich then someone is not quiet.
Everyone who is brave is strong or tall and vice versa.
If fred is either not old or not rich then... | Alice is not brave. | contradiction | ((?[X]:((~rich(X)|curious(X))))<=>(?[X]:(~rich(X))))&
((?[X]:(quiet(X)))<=>((~kind(paul)&~calm(paul))))&
((?[X]:((~curious(X)&~rich(X))))=>(?[X]:(~quiet(X))))&
(![X]:(brave(X)<=>(strong(X)|tall(X))))&
(((~old(fred)<~>~rich(fred)))=>(tall(lucy)))&
(![X]:((calm(X)&~patient(X))=>(humble(X)<~>~creative(X))))&
(![X]:(~calm(... | ~brave(alice) | [
"p3",
"p9",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1523042234519366689699603
% SZS output start Proof for 1523042234519366689699603
4. ! [X0] : (brave(X0) <=> (tall(X0) | strong(X0))) [input p3]
10. ! [X0] : ((patient(X0) & ~creative(X0)) <=> ~strong(X0)) [input p9]
11. ! [X0] : (~tall(X0) <=> (curious(X0) & ~patient(X0))) [input p10]
23.... | 0 |
Everyone who is both not happy and brave is curious and vice versa.
Everyone who is either calm or not brave is brave and vice versa.
Everyone who is either happy or tall is either not quiet or not tall.
Everyone who is both not funny and not brave is calm and vice versa.
Everyone who is brave or old is both not rich a... | Alice is not strong. | neutral | (![X]:((~happy(X)&brave(X))<=>curious(X)))&
(![X]:((calm(X)<~>~brave(X))<=>brave(X)))&
(![X]:((happy(X)<~>tall(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((~funny(X)&~brave(X))<=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)&curious(X))))&
(((wise(mary)|~happy(mary)))=>(?[X]:((curious(X)|kind(X)))))&
((?[X]:((~patient(X)<~... | ~strong(alice) | [] | null | 0 |
If someone is either calm or not curious then lucy is either creative or not tall.
Everyone who is either strong or brave is creative.
If someone is tall then fred is not quiet or not generous.
Everyone who is not kind is either not brave or not humble.
If paul is both not humble and not funny then lucy is not creative... | Fred is wise. | neutral | ((?[X]:((calm(X)<~>~curious(X))))=>((creative(lucy)<~>~tall(lucy))))&
(![X]:((strong(X)<~>brave(X))=>creative(X)))&
((?[X]:(tall(X)))=>((~quiet(fred)|~generous(fred))))&
(![X]:(~kind(X)=>(~brave(X)<~>~humble(X))))&
(((~humble(paul)&~funny(paul)))<=>(~creative(lucy)))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)<~>creative... | wise(fred) | [] | null | 0 |
If alice is both not generous and not calm then paul is both not creative and strong and vice versa.
If susan is either wise or strong then john is not creative or not old.
Everyone who is not happy is quiet and vice versa.
If someone is not happy then lucy is both creative and old and vice versa.
Everyone who is both ... | Mary is rich. | neutral | (((~generous(alice)&~calm(alice)))<=>((~creative(paul)&strong(paul))))&
(((wise(susan)<~>strong(susan)))=>((~creative(john)|~old(john))))&
(![X]:(~happy(X)<=>quiet(X)))&
((?[X]:(~happy(X)))<=>((creative(lucy)&old(lucy))))&
(![X]:((~tall(X)&~creative(X))<=>(quiet(X)&~strong(X))))&
(((~quiet(lucy)|rich(lucy)))<=>((patien... | rich(mary) | [] | null | 0 |
Everyone who is either curious or not curious is not rich or not calm.
Everyone who is either not generous or tall is tall or not funny.
Everyone who is not kind is both calm and generous and vice versa.
If someone is both not curious and not generous then someone is quiet or brave and vice versa.
If someone is either ... | John is generous. | entailment | (![X]:((curious(X)<~>~curious(X))=>(~rich(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))=>(tall(X)|~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)&generous(X))))&
((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:((quiet(X)|brave(X)))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
... | generous(john) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4785548801448608866959577
% SZS output start Proof for 4785548801448608866959577
3. ! [X0] : (~kind(X0) <=> (generous(X0) & calm(X0))) [input p2]
7. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~kind(X0) & ~patient(X0))) [input p6]
22. ~generous(john) [input hypothesis]
36. ! [X0] : ((~ki... | 0 |
Everyone who is both humble and brave is either not calm or calm and vice versa. If paul is both not humble and calm then susan is both quiet and not brave and vice versa. If susan is not funny then someone is either generous or not calm and vice versa. Everyone who is both not funny and not calm is either not kind or ... | Mary is not curious. | contradiction | (![X]:((humble(X)&brave(X))<=>(~calm(X)<~>calm(X))))&
(((~humble(paul)&calm(paul)))<=>((quiet(susan)&~brave(susan))))&
((~funny(susan))<=>(?[X]:((generous(X)<~>~calm(X)))))&
(![X]:((~funny(X)&~calm(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~tall(X)<~>humble(X))))&
(![X]:((~kind(X)|generous(X))=>~... | ~curious(mary) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7104229525119841517444923
% SZS output start Proof for 7104229525119841517444923
8. ! [X0] : ((~kind(X0) <~> ~curious(X0)) => (curious(X0) & ~old(X0))) [input p7]
18. kind(mary) [input p17]
25. ~curious(mary) [input hypothesis]
32. ! [X0] : ((curious(X0) & ~old(X0)) | (~kind(X0) <=> ~curi... | 0 |
If someone is both not generous and not rich then someone is either not generous or humble and vice versa. Everyone who is both not wise and generous is not patient. If someone is both not brave and not wise then lucy is both rich and not calm and vice versa. Everyone who is both not tall and happy is not quiet and vic... | Fred is curious. | neutral | ((?[X]:((~generous(X)&~rich(X))))<=>(?[X]:((~generous(X)<~>humble(X)))))&
(![X]:((~wise(X)&generous(X))=>~patient(X)))&
((?[X]:((~brave(X)&~wise(X))))<=>((rich(lucy)&~calm(lucy))))&
(![X]:((~tall(X)&happy(X))<=>~quiet(X)))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>... | curious(fred) | [] | null | 0 |
If someone is either funny or not kind then alice is strong and vice versa.
If someone is both not old and brave then someone is not happy.
If john is either generous or happy then fred is tall and vice versa.
If someone is creative then mary is strong and vice versa.
If alice is either happy or not rich then mary is e... | Fred is not generous. | neutral | ((?[X]:((funny(X)<~>~kind(X))))<=>(strong(alice)))&
((?[X]:((~old(X)&brave(X))))=>(?[X]:(~happy(X))))&
(((generous(john)<~>happy(john)))<=>(tall(fred)))&
((?[X]:(creative(X)))<=>(strong(mary)))&
(((happy(alice)<~>~rich(alice)))=>((~generous(mary)<~>~funny(mary))))&
(![X]:(~creative(X)<=>(~funny(X)|tall(X))))&
((?[X]:((... | ~generous(fred) | [] | null | 0 |
Everyone who is either curious or not old is either not happy or tall.
Everyone who is both not funny and calm is both not old and not happy and vice versa.
If someone is not generous or not strong then someone is not kind or not old.
Everyone who is both not patient and curious is either not wise or not quiet.
Everyon... | Paul is not quiet. | neutral | (![X]:((curious(X)<~>~old(X))=>(~happy(X)<~>tall(X))))&
(![X]:((~funny(X)&calm(X))<=>(~old(X)&~happy(X))))&
((?[X]:((~generous(X)|~strong(X))))=>(?[X]:((~kind(X)|~old(X)))))&
(![X]:((~patient(X)&curious(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((patient(X)&curious(X))<=>(quiet(X)|~brave(X))))&
(![X]:((tall(X)&old(X))<=>(~s... | ~quiet(paul) | [] | null | 0 |
Everyone who is not strong is not wise and vice versa. Everyone who is not brave or generous is not happy. If susan is curious then someone is either curious or humble and vice versa. Everyone who is either not patient or not old is not happy or not humble. Everyone who is happy or tall is either creative or not kind a... | Susan is creative. | entailment | (![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~brave(X)|generous(X))=>~happy(X)))&
((curious(susan))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((~patient(X)<~>~old(X))=>(~happy(X)|~humble(X))))&
(![X]:((happy(X)|tall(X))<=>(creative(X)<~>~kind(X))))&
(![X]:((calm(X)&~curious(X))<=>(~happy(X)|~generous(X))))&
(((strong(paul... | creative(susan) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5405049063853985698439842
% SZS output start Proof for 5405049063853985698439842
1. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((generous(X0) | ~brave(X0)) => ~happy(X0)) [input p1]
3. curious(susan) <=> ? [X0] : (curious(X0) <~> humble(X0)) [input p2]
6. ! [X0] : ((~curi... | 0 |
Everyone who is both not happy and not curious is not strong and vice versa.
If someone is not curious or funny then paul is not rich and vice versa.
Everyone who is both not quiet and not strong is both not generous and old and vice versa.
If someone is happy then alice is both patient and brave.
If lucy is happy then... | John is patient. | contradiction | (![X]:((~happy(X)&~curious(X))<=>~strong(X)))&
((?[X]:((~curious(X)|funny(X))))<=>(~rich(paul)))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)&old(X))))&
((?[X]:(happy(X)))=>((patient(alice)&brave(alice))))&
((happy(lucy))<=>((~rich(paul)|~curious(paul))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~humble(X)|calm(X))))&
((pati... | patient(john) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p7",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7029152254992403083965408
% SZS output start Proof for 7029152254992403083965408
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> ~strong(X0)) [input p0]
2. ? [X0] : (funny(X0) | ~curious(X0)) <=> ~rich(paul) [input p1]
3. ! [X0] : ((~strong(X0) & ~quiet(X0)) <=> (old(X0) & ~generous(X0))) [i... | 0 |
Everyone who is not rich or quiet is either not humble or patient.
If susan is strong then mary is either quiet or generous.
Everyone who is either generous or strong is either not rich or not humble.
Everyone who is not strong or kind is not tall and vice versa.
Everyone who is both not quiet and generous is not wise ... | Alice is not curious. | contradiction | (![X]:((~rich(X)|quiet(X))=>(~humble(X)<~>patient(X))))&
((strong(susan))=>((quiet(mary)<~>generous(mary))))&
(![X]:((generous(X)<~>strong(X))=>(~rich(X)<~>~humble(X))))&
(![X]:((~strong(X)|kind(X))<=>~tall(X)))&
(![X]:((~quiet(X)&generous(X))<=>~wise(X)))&
(![X]:((~humble(X)&curious(X))=>(~patient(X)|rich(X))))&
(![X]... | ~curious(alice) | [
"p0",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4418970009722700612557374
% SZS output start Proof for 4418970009722700612557374
1. ! [X0] : ((quiet(X0) | ~rich(X0)) => (~humble(X0) <~> patient(X0))) [input p0]
5. ! [X0] : ((generous(X0) & ~quiet(X0)) <=> ~wise(X0)) [input p4]
10. (patient(paul) & ~rich(paul)) <=> (~strong(alice) | ~cu... | 0 |
If someone is either creative or not brave then someone is not strong or not brave. Everyone who is old or strong is humble and vice versa. Everyone who is not rich or brave is either generous or quiet. Everyone who is calm or not patient is both happy and old. If someone is not humble or generous then someone is not g... | Paul is happy. | neutral | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((old(X)|strong(X))<=>humble(X)))&
(![X]:((~rich(X)|brave(X))=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)|~patient(X))=>(happy(X)&old(X))))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:(~generous(X))))&
(((creative(paul)|~patient(paul)))<=>(?[... | happy(paul) | [] | null | 0 |
If someone is either not kind or not tall then someone is either not old or happy and vice versa. Everyone who is either rich or not rich is either not quiet or not happy. Everyone who is both rich and humble is both funny and wise. Everyone who is brave is not patient or not happy. If someone is both not rich and wise... | Lucy is humble. | neutral | ((?[X]:((~kind(X)<~>~tall(X))))<=>(?[X]:((~old(X)<~>happy(X)))))&
(![X]:((rich(X)<~>~rich(X))=>(~quiet(X)<~>~happy(X))))&
(![X]:((rich(X)&humble(X))=>(funny(X)&wise(X))))&
(![X]:(brave(X)=>(~patient(X)|~happy(X))))&
((?[X]:((~rich(X)&wise(X))))=>(?[X]:((~curious(X)&happy(X)))))&
((?[X]:((humble(X)&~tall(X))))=>(?[X]:((... | humble(lucy) | [] | null | 0 |
Everyone who is curious or not rich is calm or not patient and vice versa. If someone is either not calm or quiet then susan is rich or not quiet and vice versa. Everyone who is either not brave or not patient is not quiet or not kind. If someone is not calm then john is both not creative and not quiet and vice versa. ... | Lucy is not generous. | neutral | (![X]:((curious(X)|~rich(X))<=>(calm(X)|~patient(X))))&
((?[X]:((~calm(X)<~>quiet(X))))<=>((rich(susan)|~quiet(susan))))&
(![X]:((~brave(X)<~>~patient(X))=>(~quiet(X)|~kind(X))))&
((?[X]:(~calm(X)))<=>((~creative(john)&~quiet(john))))&
(![X]:((humble(X)&~strong(X))<=>(tall(X)<~>rich(X))))&
((?[X]:((creative(X)<~>~brave... | ~generous(lucy) | [] | null | 0 |
Everyone who is either brave or patient is either old or happy.
If lucy is not kind then someone is either curious or generous.
Everyone who is brave is both not rich and tall and vice versa.
Everyone who is either calm or not rich is rich or not calm and vice versa.
Everyone who is funny is curious and vice versa.
Eve... | Lucy is not tall. | contradiction | (![X]:((brave(X)<~>patient(X))=>(old(X)<~>happy(X))))&
((~kind(lucy))=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:(brave(X)<=>(~rich(X)&tall(X))))&
(![X]:((calm(X)<~>~rich(X))<=>(rich(X)|~calm(X))))&
(![X]:(funny(X)<=>curious(X)))&
(![X]:((~curious(X)|~rich(X))<=>(humble(X)<~>~humble(X))))&
(![X]:((old(X)&wise(X))<=>(... | ~tall(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3573603343224525688793069
% SZS output start Proof for 3573603343224525688793069
8. ! [X0] : (tall(X0) <=> (~tall(X0) | ~calm(X0))) [input p7]
25. ~tall(lucy) [input hypothesis]
51. ! [X0] : ((tall(X0) | (tall(X0) & calm(X0))) & ((~tall(X0) | ~calm(X0)) | ~tall(X0))) [nnf transformation 8... | 0 |
Everyone who is either wise or calm is either not tall or not quiet.
Everyone who is funny or not patient is curious or not generous.
Everyone who is tall is funny and vice versa.
Everyone who is either not tall or funny is humble.
If someone is either strong or not calm then john is either not brave or not old and vic... | Alice is creative. | entailment | (![X]:((wise(X)<~>calm(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((funny(X)|~patient(X))=>(curious(X)|~generous(X))))&
(![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)<~>funny(X))=>humble(X)))&
((?[X]:((strong(X)<~>~calm(X))))<=>((~brave(john)<~>~old(john))))&
((tall(paul))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((tall(X... | creative(alice) | [
"p0",
"p2",
"p3",
"p6",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8852833219623079885296971
% SZS output start Proof for 8852833219623079885296971
1. ! [X0] : ((wise(X0) <~> calm(X0)) => (~tall(X0) <~> ~quiet(X0))) [input p0]
3. ! [X0] : (tall(X0) <=> funny(X0)) [input p2]
4. ! [X0] : ((~tall(X0) <~> funny(X0)) => humble(X0)) [input p3]
7. ? [X0] : (cal... | 0 |
If mary is either humble or strong then someone is either not happy or not rich and vice versa. Everyone who is brave or happy is not humble or strong. Everyone who is either strong or happy is creative or happy. Everyone who is both humble and not humble is either not generous or calm. If paul is both not wise and kin... | Susan is not old. | entailment | (((humble(mary)<~>strong(mary)))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
(![X]:((brave(X)|happy(X))=>(~humble(X)|strong(X))))&
(![X]:((strong(X)<~>happy(X))=>(creative(X)|happy(X))))&
(![X]:((humble(X)&~humble(X))=>(~generous(X)<~>calm(X))))&
(((~wise(paul)&kind(paul)))<=>(?[X]:((creative(X)|tall(X)))))&
((?[X]:((~humble(X... | ~old(susan) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 232296625001277160275237
% SZS output start Proof for 232296625001277160275237
7. ? [X0] : (calm(X0) | ~generous(X0)) => (~old(susan) & curious(susan)) [input p6]
18. ~humble(paul) & ~generous(paul) [input p17]
25. old(susan) [input hypothesis]
36. (~old(susan) & curious(susan)) | ! [X0] ... | 0 |
Everyone who is patient is either calm or not strong.
Everyone who is not calm is either not strong or not brave.
Everyone who is both happy and funny is generous or creative and vice versa.
Everyone who is both happy and not strong is old or not calm and vice versa.
Everyone who is generous is not rich or not happy an... | Fred is brave. | entailment | (![X]:(patient(X)=>(calm(X)<~>~strong(X))))&
(![X]:(~calm(X)=>(~strong(X)<~>~brave(X))))&
(![X]:((happy(X)&funny(X))<=>(generous(X)|creative(X))))&
(![X]:((happy(X)&~strong(X))<=>(old(X)|~calm(X))))&
(![X]:(generous(X)<=>(~rich(X)|~happy(X))))&
(![X]:((curious(X)&old(X))=>(humble(X)&wise(X))))&
(![X]:((~quiet(X)|strong... | brave(fred) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5868934692424249380619645
% SZS output start Proof for 5868934692424249380619645
2. ! [X0] : (~calm(X0) => (~strong(X0) <~> ~brave(X0))) [input p1]
3. ! [X0] : ((funny(X0) & happy(X0)) <=> (creative(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) & happy(X0)) <=> (~calm(X0) | ol... | 0 |
If john is both brave and not creative then mary is both not funny and not strong and vice versa.
If someone is either funny or kind then someone is either not old or old and vice versa.
If lucy is patient then someone is either not tall or not generous.
If mary is both happy and brave then someone is not patient or wi... | Paul is not creative. | contradiction | (((brave(john)&~creative(john)))<=>((~funny(mary)&~strong(mary))))&
((?[X]:((funny(X)<~>kind(X))))<=>(?[X]:((~old(X)<~>old(X)))))&
((patient(lucy))=>(?[X]:((~tall(X)<~>~generous(X)))))&
(((happy(mary)&brave(mary)))<=>(?[X]:((~patient(X)|wise(X)))))&
((?[X]:((~curious(X)&strong(X))))<=>(tall(alice)))&
((?[X]:((kind(X)&~... | ~creative(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5601943184563124973190766
% SZS output start Proof for 5601943184563124973190766
20. curious(paul) & creative(paul) [input p19]
24. ~creative(paul) [input hypothesis]
133. creative(paul) [cnf transformation 20]
137. ~creative(paul) [cnf transformation 24]
253. 25 <=> creative(paul) [avata... | 0 |
If mary is both not wise and not patient then someone is not patient. If someone is creative then paul is both not curious and not funny and vice versa. Everyone who is both rich and happy is generous and vice versa. Everyone who is calm is not happy and vice versa. If mary is not quiet or tall then someone is either g... | Mary is not patient. | entailment | (((~wise(mary)&~patient(mary)))=>(?[X]:(~patient(X))))&
((?[X]:(creative(X)))<=>((~curious(paul)&~funny(paul))))&
(![X]:((rich(X)&happy(X))<=>generous(X)))&
(![X]:(calm(X)<=>~happy(X)))&
(((~quiet(mary)|tall(mary)))<=>(?[X]:((generous(X)<~>~tall(X)))))&
(((humble(susan)&tall(susan)))=>((rich(mary)&~old(mary))))&
(![X]:... | ~patient(mary) | [
"p3",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5779541425643073428652523
% SZS output start Proof for 5779541425643073428652523
4. ! [X0] : (calm(X0) <=> ~happy(X0)) [input p3]
10. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> (~happy(X0) | creative(X0))) [input p9]
13. ? [X0] : rich(X0) <=> (~patient(mary) & ~happy(mary)) [input p12]
18. ... | 0 |
Everyone who is both not kind and not happy is not old or not tall and vice versa.
If someone is not strong then someone is brave.
Everyone who is not generous is curious or funny.
Everyone who is kind is happy.
If susan is not patient or not brave then someone is either not old or not humble and vice versa.
If paul is... | Susan is not happy. | entailment | (![X]:((~kind(X)&~happy(X))<=>(~old(X)|~tall(X))))&
((?[X]:(~strong(X)))=>(?[X]:(brave(X))))&
(![X]:(~generous(X)=>(curious(X)|funny(X))))&
(![X]:(kind(X)=>happy(X)))&
(((~patient(susan)|~brave(susan)))<=>(?[X]:((~old(X)<~>~humble(X)))))&
(((~kind(paul)&humble(paul)))<=>((patient(susan)|funny(susan))))&
(![X]:((~curiou... | ~happy(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8554246150411185151523377
% SZS output start Proof for 8554246150411185151523377
22. ~happy(susan) [input p21]
25. happy(susan) [input hypothesis]
117. ~happy(susan) [cnf transformation 22]
122. happy(susan) [cnf transformation 25]
264. $false [subsumption resolution 122,117]
% SZS output... | 0 |
Everyone who is not patient is not tall. Everyone who is either not happy or quiet is not strong. If someone is both not rich and wise then someone is either generous or not creative and vice versa. If fred is both tall and kind then someone is not rich or old. If alice is both curious and not strong then someone is wi... | Mary is not quiet. | entailment | (![X]:(~patient(X)=>~tall(X)))&
(![X]:((~happy(X)<~>quiet(X))=>~strong(X)))&
((?[X]:((~rich(X)&wise(X))))<=>(?[X]:((generous(X)<~>~creative(X)))))&
(((tall(fred)&kind(fred)))=>(?[X]:((~rich(X)|old(X)))))&
(((curious(alice)&~strong(alice)))=>(?[X]:(wise(X))))&
(![X]:((curious(X)&~generous(X))<=>(~creative(X)<~>curious(X... | ~quiet(mary) | [
"p0",
"p1",
"p9",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 916538160135228038376716
% SZS output start Proof for 916538160135228038376716
1. ! [X0] : (~patient(X0) => ~tall(X0)) [input p0]
2. ! [X0] : ((~happy(X0) <~> quiet(X0)) => ~strong(X0)) [input p1]
10. ! [X0] : ((~tall(X0) <~> happy(X0)) <=> ~old(X0)) [input p9]
13. ! [X0] : (~tall(X0) <=>... | 0 |
Everyone who is either not humble or creative is not brave or curious and vice versa. If susan is either rich or not happy then someone is either not rich or funny. Everyone who is either kind or funny is not wise and vice versa. Everyone who is both not old and quiet is both not quiet and patient and vice versa. Every... | Susan is not humble. | entailment | (![X]:((~humble(X)<~>creative(X))<=>(~brave(X)|curious(X))))&
(((rich(susan)<~>~happy(susan)))=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((kind(X)<~>funny(X))<=>~wise(X)))&
(![X]:((~old(X)&quiet(X))<=>(~quiet(X)&patient(X))))&
(![X]:(quiet(X)<=>creative(X)))&
(![X]:(~quiet(X)=>(~wise(X)&~quiet(X))))&
(![X]:(~patient(X)=>... | ~humble(susan) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6695397031708934708707993
% SZS output start Proof for 6695397031708934708707993
1. ! [X0] : ((~humble(X0) <~> creative(X0)) <=> (curious(X0) | ~brave(X0))) [input p0]
4. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (patient(X0) & ~quiet(X0))) [input p3]
5. ! [X0] : (quiet(X0) <=> creative(X0)) [... | 0 |
Everyone who is not patient is not tall. Everyone who is either not happy or quiet is not strong. If someone is both not rich and wise then someone is either generous or not creative and vice versa. If fred is both tall and kind then someone is not rich or old. If alice is both curious and not strong then someone is wi... | Paul is patient. | entailment | (![X]:(~patient(X)=>~tall(X)))&
(![X]:((~happy(X)<~>quiet(X))=>~strong(X)))&
((?[X]:((~rich(X)&wise(X))))<=>(?[X]:((generous(X)<~>~creative(X)))))&
(((tall(fred)&kind(fred)))=>(?[X]:((~rich(X)|old(X)))))&
(((curious(alice)&~strong(alice)))=>(?[X]:(wise(X))))&
(![X]:((curious(X)&~generous(X))<=>(~creative(X)<~>curious(X... | patient(paul) | [
"p0",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4256504642530817584973345
% SZS output start Proof for 4256504642530817584973345
1. ! [X0] : (~patient(X0) => ~tall(X0)) [input p0]
13. ! [X0] : (~tall(X0) <=> (~curious(X0) & ~kind(X0))) [input p12]
16. ! [X0] : ((~kind(X0) | old(X0)) <=> (curious(X0) & ~strong(X0))) [input p15]
22. ~pat... | 0 |
Everyone who is either not quiet or not generous is either not old or happy.
Everyone who is both not tall and quiet is funny and vice versa.
If someone is either not happy or not funny then someone is not wise.
If someone is curious then someone is funny and vice versa.
If someone is either not happy or not kind then ... | John is not wise. | neutral | (![X]:((~quiet(X)<~>~generous(X))=>(~old(X)<~>happy(X))))&
(![X]:((~tall(X)&quiet(X))<=>funny(X)))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:(~wise(X))))&
((?[X]:(curious(X)))<=>(?[X]:(funny(X))))&
((?[X]:((~happy(X)<~>~kind(X))))=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:((curious(X)|~happy(X))))=>((~humble(mary)&wise(mary... | ~wise(john) | [] | null | 0 |
If fred is either not curious or not generous then someone is both humble and quiet. Everyone who is either patient or not humble is curious or not patient. Everyone who is both humble and rich is strong. Everyone who is calm or creative is old or brave and vice versa. Everyone who is not funny is not curious. Everyone... | Mary is not tall. | neutral | (((~curious(fred)<~>~generous(fred)))=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((patient(X)<~>~humble(X))=>(curious(X)|~patient(X))))&
(![X]:((humble(X)&rich(X))=>strong(X)))&
(![X]:((calm(X)|creative(X))<=>(old(X)|brave(X))))&
(![X]:(~funny(X)=>~curious(X)))&
(![X]:((~calm(X)|~patient(X))<=>(~old(X)<~>~curious(X))))&
(!... | ~tall(mary) | [] | null | 0 |
Everyone who is both funny and curious is either brave or not curious. Everyone who is either not quiet or quiet is both not brave and old and vice versa. Everyone who is not rich or not kind is both wise and not creative. If fred is either brave or not tall then someone is both not wise and not funny and vice versa. I... | Fred is not brave. | entailment | (![X]:((funny(X)&curious(X))=>(brave(X)<~>~curious(X))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(~brave(X)&old(X))))&
(![X]:((~rich(X)|~kind(X))=>(wise(X)&~creative(X))))&
(((brave(fred)<~>~tall(fred)))<=>(?[X]:((~wise(X)&~funny(X)))))&
((?[X]:((generous(X)<~>curious(X))))=>((~funny(alice)|~old(alice))))&
(![X]:(~rich(X)<=>h... | ~brave(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8916609213419935520233446
% SZS output start Proof for 8916609213419935520233446
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (old(X0) & ~brave(X0))) [input p1]
25. brave(fred) [input hypothesis]
40. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quiet(X0))) | (~old(X0) | brave(X0)))... | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not happy and happy and vice versa.
Everyone who is quiet or wise is rich or not curious and vice versa.
Everyone who is quiet is either quiet or happy... | Susan is not wise. | neutral | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(rich(X)<~>~patient(X))))&
(![X]:(generous(X)<=... | ~wise(susan) | [] | null | 0 |
Everyone who is tall is either not happy or not rich and vice versa. If john is generous then someone is either rich or not generous and vice versa. Everyone who is not tall or funny is old or not calm and vice versa. If paul is both creative and quiet then someone is either not curious or rich. If someone is both rich... | Mary is calm. | contradiction | (![X]:(tall(X)<=>(~happy(X)<~>~rich(X))))&
((generous(john))<=>(?[X]:((rich(X)<~>~generous(X)))))&
(![X]:((~tall(X)|funny(X))<=>(old(X)|~calm(X))))&
(((creative(paul)&quiet(paul)))=>(?[X]:((~curious(X)<~>rich(X)))))&
((?[X]:((rich(X)&calm(X))))=>((old(lucy)&~wise(lucy))))&
(![X]:((~generous(X)|creative(X))=>~funny(X)))... | calm(mary) | [
"p2",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7456953814057107946485766
% SZS output start Proof for 7456953814057107946485766
3. ! [X0] : ((funny(X0) | ~tall(X0)) <=> (~calm(X0) | old(X0))) [input p2]
10. ! [X0] : (~calm(X0) <=> (kind(X0) | old(X0))) [input p9]
14. ! [X0] : ((~wise(X0) & funny(X0)) <=> (generous(X0) | ~creative(X0))... | 0 |
Everyone who is not kind is not happy and vice versa.
Everyone who is old is either not brave or strong and vice versa.
If someone is either not strong or quiet then someone is either calm or rich and vice versa.
If someone is both patient and not happy then someone is humble.
If alice is both rich and not generous the... | Lucy is not curious. | neutral | (![X]:(~kind(X)<=>~happy(X)))&
(![X]:(old(X)<=>(~brave(X)<~>strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:((calm(X)<~>rich(X)))))&
((?[X]:((patient(X)&~happy(X))))=>(?[X]:(humble(X))))&
(((rich(alice)&~generous(alice)))=>(?[X]:(kind(X))))&
(![X]:(~creative(X)<=>(~creative(X)&brave(X))))&
(![X]:((creative(X)&~... | ~curious(lucy) | [] | null | 0 |
If someone is happy then john is happy.
Everyone who is not rich or strong is not curious or not calm.
If susan is strong then alice is both kind and not humble.
If someone is either calm or creative then someone is quiet and vice versa.
Everyone who is not creative is either not creative or not tall and vice versa.
Ev... | Paul is not calm. | neutral | ((?[X]:(happy(X)))=>(happy(john)))&
(![X]:((~rich(X)|strong(X))=>(~curious(X)|~calm(X))))&
((strong(susan))=>((kind(alice)&~humble(alice))))&
((?[X]:((calm(X)<~>creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>~humble(X))=>tall(X)))&
(![X]:((~patient(X)&~creativ... | ~calm(paul) | [] | null | 0 |
If someone is not wise or not strong then fred is not generous. If paul is not kind then someone is not old or not brave and vice versa. If someone is both funny and rich then someone is not curious or not funny. If someone is both not funny and not kind then someone is not quiet. Everyone who is either rich or strong ... | Fred is old. | entailment | ((?[X]:((~wise(X)|~strong(X))))=>(~generous(fred)))&
((~kind(paul))<=>(?[X]:((~old(X)|~brave(X)))))&
((?[X]:((funny(X)&rich(X))))=>(?[X]:((~curious(X)|~funny(X)))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:(~quiet(X))))&
(![X]:((rich(X)<~>strong(X))<=>~generous(X)))&
((rich(fred))<=>((~curious(mary)<~>~quiet(mary))))&
(!... | old(fred) | [
"p0",
"p4",
"p6",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 655899273162610957147547
% SZS output start Proof for 655899273162610957147547
1. ? [X0] : (~strong(X0) | ~wise(X0)) => ~generous(fred) [input p0]
5. ! [X0] : ((rich(X0) <~> strong(X0)) <=> ~generous(X0)) [input p4]
7. ! [X0] : (strong(X0) => (calm(X0) | ~patient(X0))) [input p6]
8. ! [X0... | 0 |
Everyone who is not generous or not calm is not curious.
If someone is curious or not strong then paul is not patient.
If someone is either tall or brave then alice is not tall or patient and vice versa.
Everyone who is rich or tall is funny or not quiet and vice versa.
Everyone who is both not patient and rich is curi... | Fred is creative. | contradiction | (![X]:((~generous(X)|~calm(X))=>~curious(X)))&
((?[X]:((curious(X)|~strong(X))))=>(~patient(paul)))&
((?[X]:((tall(X)<~>brave(X))))<=>((~tall(alice)|patient(alice))))&
(![X]:((rich(X)|tall(X))<=>(funny(X)|~quiet(X))))&
(![X]:((~patient(X)&rich(X))<=>(curious(X)|quiet(X))))&
((?[X]:((~generous(X)&~quiet(X))))=>(?[X]:((t... | creative(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5812307868445068476571635
% SZS output start Proof for 5812307868445068476571635
13. ! [X0] : (patient(X0) <=> (creative(X0) & ~patient(X0))) [input p12]
21. creative(fred) [input hypothesis]
54. ! [X0] : ((patient(X0) | (~creative(X0) | patient(X0))) & ((creative(X0) & ~patient(X0)) | ~p... | 0 |
If fred is not generous or wise then someone is not wise or creative and vice versa.
If mary is both curious and not tall then someone is not old or not patient.
Everyone who is both not kind and old is either happy or patient.
If someone is patient or quiet then paul is not creative and vice versa.
Everyone who is not... | Alice is generous. | contradiction | (((~generous(fred)|wise(fred)))<=>(?[X]:((~wise(X)|creative(X)))))&
(((curious(mary)&~tall(mary)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~kind(X)&old(X))=>(happy(X)<~>patient(X))))&
((?[X]:((patient(X)|quiet(X))))<=>(~creative(paul)))&
(![X]:((~patient(X)|strong(X))<=>(~generous(X)&generous(X))))&
(((humble(lucy)|s... | generous(alice) | [
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 893588605180969321370083
% SZS output start Proof for 893588605180969321370083
5. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (generous(X0) & ~generous(X0))) [input p4]
15. ! [X0] : ((wise(X0) | ~patient(X0)) <=> (generous(X0) | ~rich(X0))) [input p14]
16. ! [X0] : ((~wise(X0) <~> ~happy(X0... | 0 |
Everyone who is either not patient or not kind is either tall or happy and vice versa. Everyone who is happy or not creative is either calm or not happy and vice versa. Everyone who is both rich and creative is both not old and calm and vice versa. If paul is not calm or patient then someone is happy and vice versa. Ev... | Fred is rich. | neutral | (![X]:((~patient(X)<~>~kind(X))<=>(tall(X)<~>happy(X))))&
(![X]:((happy(X)|~creative(X))<=>(calm(X)<~>~happy(X))))&
(![X]:((rich(X)&creative(X))<=>(~old(X)&calm(X))))&
(((~calm(paul)|patient(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~funny(X)<~>~creative(X))<=>(~rich(X)&~patient(X))))&
(((~tall(mary)|~curious(mary)))=>((~b... | rich(fred) | [] | null | 0 |
If lucy is either not tall or tall then alice is not kind and vice versa. Everyone who is happy is humble and vice versa. Everyone who is either not old or not quiet is curious or not creative and vice versa. Everyone who is strong or brave is not patient. Everyone who is either not generous or not funny is both not cr... | John is brave. | entailment | (((~tall(lucy)<~>tall(lucy)))<=>(~kind(alice)))&
(![X]:(happy(X)<=>humble(X)))&
(![X]:((~old(X)<~>~quiet(X))<=>(curious(X)|~creative(X))))&
(![X]:((strong(X)|brave(X))=>~patient(X)))&
(![X]:((~generous(X)<~>~funny(X))<=>(~creative(X)&~patient(X))))&
(![X]:((humble(X)|~strong(X))<=>(patient(X)&~brave(X))))&
(![X]:((~qui... | brave(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5027980806796016910933543
% SZS output start Proof for 5027980806796016910933543
1. (~tall(lucy) <~> tall(lucy)) <=> ~kind(alice) [input p0]
2. ! [X0] : (happy(X0) <=> humble(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> ~quiet(X0)) <=> (~creative(X0) | curious(X0))) [input p2]
4. ! [X0] : (... | 0 |
Everyone who is not happy or brave is both kind and quiet.
If mary is either not old or kind then fred is rich.
Everyone who is either calm or not curious is happy.
If someone is both not humble and not kind then paul is not creative or not old.
If someone is strong or not rich then someone is either not rich or not ki... | John is humble. | contradiction | (![X]:((~happy(X)|brave(X))=>(kind(X)&quiet(X))))&
(((~old(mary)<~>kind(mary)))=>(rich(fred)))&
(![X]:((calm(X)<~>~curious(X))=>happy(X)))&
((?[X]:((~humble(X)&~kind(X))))=>((~creative(paul)|~old(paul))))&
((?[X]:((strong(X)|~rich(X))))<=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((quiet(X)&~creative(X))<=>(tall(X)|strong... | humble(john) | [
"p0",
"p6",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3612261255648892517131531
% SZS output start Proof for 3612261255648892517131531
1. ! [X0] : ((brave(X0) | ~happy(X0)) => (quiet(X0) & kind(X0))) [input p0]
7. ! [X0] : ((~funny(X0) & old(X0)) <=> (~funny(X0) | ~generous(X0))) [input p6]
11. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (creative... | 0 |
Everyone who is not creative is generous or not rich and vice versa.
If john is not quiet then paul is curious and vice versa.
If someone is both not patient and not quiet then someone is either not kind or not calm and vice versa.
Everyone who is not generous is not humble.
If someone is rich or not funny then alice i... | Susan is creative. | contradiction | (![X]:(~creative(X)<=>(generous(X)|~rich(X))))&
((~quiet(john))<=>(curious(paul)))&
((?[X]:((~patient(X)&~quiet(X))))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:(~generous(X)=>~humble(X)))&
((?[X]:((rich(X)|~funny(X))))=>(~happy(alice)))&
(![X]:((patient(X)&~humble(X))=>(~curious(X)|~creative(X))))&
(![X]:((~tall(X)&~hap... | creative(susan) | [
"p0",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 566974319158302565867338
% SZS output start Proof for 566974319158302565867338
1. ! [X0] : (~creative(X0) <=> (~rich(X0) | generous(X0))) [input p0]
8. ! [X0] : ((~calm(X0) & ~old(X0)) <=> calm(X0)) [input p7]
12. ! [X0] : (old(X0) <=> (brave(X0) & funny(X0))) [input p11]
14. ! [X0] : ((r... | 0 |
Everyone who is not patient or calm is either humble or creative and vice versa. Everyone who is both funny and not calm is happy. Everyone who is either strong or humble is funny or curious and vice versa. If someone is either not tall or funny then paul is not creative. Everyone who is both brave and humble is either... | Paul is kind. | contradiction | (![X]:((~patient(X)|calm(X))<=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)&~calm(X))=>happy(X)))&
(![X]:((strong(X)<~>humble(X))<=>(funny(X)|curious(X))))&
((?[X]:((~tall(X)<~>funny(X))))=>(~creative(paul)))&
(![X]:((brave(X)&humble(X))=>(~calm(X)<~>quiet(X))))&
(((creative(alice)<~>quiet(alice)))=>(?[X]:((~curious(X... | kind(paul) | [
"p0",
"p1",
"p3",
"p6",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5668448790582584195356124
% SZS output start Proof for 5668448790582584195356124
1. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (humble(X0) <~> creative(X0))) [input p0]
2. ! [X0] : ((~calm(X0) & funny(X0)) => happy(X0)) [input p1]
4. ? [X0] : (~tall(X0) <~> funny(X0)) => ~creative(paul) [inp... | 0 |
Everyone who is not tall is both not strong and not old.
Everyone who is either not calm or humble is either not strong or not old.
If paul is not rich or calm then someone is tall.
If someone is either not strong or not calm then paul is both funny and happy.
If someone is both kind and tall then lucy is old or not ri... | Alice is not old. | contradiction | (![X]:(~tall(X)=>(~strong(X)&~old(X))))&
(![X]:((~calm(X)<~>humble(X))=>(~strong(X)<~>~old(X))))&
(((~rich(paul)|calm(paul)))=>(?[X]:(tall(X))))&
((?[X]:((~strong(X)<~>~calm(X))))=>((funny(paul)&happy(paul))))&
((?[X]:((kind(X)&tall(X))))<=>((old(lucy)|~rich(lucy))))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:((~happy(... | ~old(alice) | [
"p7",
"p11",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 66753941566695147128912
% SZS output start Proof for 66753941566695147128912
8. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (creative(X0) <~> funny(X0))) [input p7]
12. ? [X0] : (curious(X0) & ~rich(X0)) <=> wise(lucy) [input p11]
13. ! [X0] : ((wise(X0) | curious(X0)) => ~wise(X0)) [input p1... | 0 |
Everyone who is generous is not quiet or not kind and vice versa.
Everyone who is kind or not happy is not quiet and vice versa.
If john is both not rich and not generous then john is either not creative or curious.
Everyone who is kind is not curious and vice versa.
Everyone who is not tall or curious is both not calm... | Fred is not old. | contradiction | (![X]:(generous(X)<=>(~quiet(X)|~kind(X))))&
(![X]:((kind(X)|~happy(X))<=>~quiet(X)))&
(((~rich(john)&~generous(john)))=>((~creative(john)<~>curious(john))))&
(![X]:(kind(X)<=>~curious(X)))&
(![X]:((~tall(X)|curious(X))=>(~calm(X)&~funny(X))))&
((?[X]:(~creative(X)))=>((~quiet(paul)&~strong(paul))))&
((?[X]:((tall(X)&r... | ~old(fred) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4089446414076339351577368
% SZS output start Proof for 4089446414076339351577368
1. ! [X0] : (generous(X0) <=> (~kind(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | kind(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (kind(X0) <=> ~curious(X0)) [input p3]
5. ! [X0] : ((curious(X0) ... | 0 |
Everyone who is patient or not calm is both not quiet and old and vice versa.
Everyone who is both not kind and not curious is kind or not curious and vice versa.
If mary is brave or not curious then paul is both quiet and not quiet.
Everyone who is not wise is not quiet or wise and vice versa.
Everyone who is both not... | Fred is rich. | entailment | (![X]:((patient(X)|~calm(X))<=>(~quiet(X)&old(X))))&
(![X]:((~kind(X)&~curious(X))<=>(kind(X)|~curious(X))))&
(((brave(mary)|~curious(mary)))=>((quiet(paul)&~quiet(paul))))&
(![X]:(~wise(X)<=>(~quiet(X)|wise(X))))&
(![X]:((~rich(X)&kind(X))<=>(strong(X)<~>humble(X))))&
((patient(mary))=>(rich(fred)))&
(![X]:((~brave(X)... | rich(fred) | [
"p1",
"p3",
"p8",
"p9",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8132983566450761630552484
% SZS output start Proof for 8132983566450761630552484
2. ! [X0] : ((~curious(X0) & ~kind(X0)) <=> (~curious(X0) | kind(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (wise(X0) | ~quiet(X0))) [input p3]
9. ! [X0] : ((~tall(X0) <~> ~curious(X0)) <=> ~brave(X0)) [inpu... | 0 |
If someone is not happy or not tall then susan is either not quiet or kind and vice versa.
Everyone who is both tall and humble is rich.
Everyone who is happy is old or not wise and vice versa.
Everyone who is curious is both not kind and not strong and vice versa.
Everyone who is not curious is either not calm or not ... | Susan is not humble. | contradiction | ((?[X]:((~happy(X)|~tall(X))))<=>((~quiet(susan)<~>kind(susan))))&
(![X]:((tall(X)&humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(old(X)|~wise(X))))&
(![X]:(curious(X)<=>(~kind(X)&~strong(X))))&
(![X]:(~curious(X)=>(~calm(X)<~>~old(X))))&
(![X]:((~funny(X)&kind(X))=>(tall(X)|~patient(X))))&
(![X]:((~generous(X)&tall(X))=>(~... | ~humble(susan) | [
"p0",
"p2",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5460103579863283380577586
% SZS output start Proof for 5460103579863283380577586
1. ? [X0] : (~tall(X0) | ~happy(X0)) <=> (~quiet(susan) <~> kind(susan)) [input p0]
3. ! [X0] : (happy(X0) <=> (~wise(X0) | old(X0))) [input p2]
12. ! [X0] : ((~old(X0) | strong(X0)) <=> (kind(X0) & ~happy(X0... | 0 |
If lucy is curious or brave then someone is curious and vice versa. Everyone who is both old and not quiet is funny or patient and vice versa. If paul is curious then someone is not brave and vice versa. Everyone who is either not creative or not generous is not funny or not tall and vice versa. If paul is not quiet or... | Paul is quiet. | neutral | (((curious(lucy)|brave(lucy)))<=>(?[X]:(curious(X))))&
(![X]:((old(X)&~quiet(X))<=>(funny(X)|patient(X))))&
((curious(paul))<=>(?[X]:(~brave(X))))&
(![X]:((~creative(X)<~>~generous(X))<=>(~funny(X)|~tall(X))))&
(((~quiet(paul)|wise(paul)))<=>((~humble(alice)|~tall(alice))))&
(![X]:((funny(X)|~quiet(X))=>(brave(X)|~gene... | quiet(paul) | [] | null | 0 |
If someone is not brave or funny then susan is either not tall or quiet. If someone is not old or not funny then john is happy or old and vice versa. Everyone who is either curious or not kind is old or not curious. Everyone who is both not strong and not generous is both not happy and funny and vice versa. Everyone wh... | Mary is brave. | entailment | ((?[X]:((~brave(X)|funny(X))))=>((~tall(susan)<~>quiet(susan))))&
((?[X]:((~old(X)|~funny(X))))<=>((happy(john)|old(john))))&
(![X]:((curious(X)<~>~kind(X))=>(old(X)|~curious(X))))&
(![X]:((~strong(X)&~generous(X))<=>(~happy(X)&funny(X))))&
(![X]:(happy(X)<=>~creative(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((brave... | brave(mary) | [
"p0",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4386779289853395622926877
% SZS output start Proof for 4386779289853395622926877
1. ? [X0] : (funny(X0) | ~brave(X0)) => (~tall(susan) <~> quiet(susan)) [input p0]
5. ! [X0] : (happy(X0) <=> ~creative(X0)) [input p4]
8. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (quiet(X0) <~> ~tall(X0))) [... | 0 |
Everyone who is not calm or brave is calm and vice versa.
If someone is both not curious and humble then lucy is not wise or rich.
Everyone who is quiet or not calm is not rich.
If fred is rich then someone is old or not kind and vice versa.
Everyone who is both creative and not kind is funny and vice versa.
If fred is... | Fred is not wise. | entailment | (![X]:((~calm(X)|brave(X))<=>calm(X)))&
((?[X]:((~curious(X)&humble(X))))=>((~wise(lucy)|rich(lucy))))&
(![X]:((quiet(X)|~calm(X))=>~rich(X)))&
((rich(fred))<=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>funny(X)))&
(((kind(fred)&~humble(fred)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((~kind(X)|gen... | ~wise(fred) | [
"p0",
"p3",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3791083757133102043803112
% SZS output start Proof for 3791083757133102043803112
1. ! [X0] : ((brave(X0) | ~calm(X0)) <=> calm(X0)) [input p0]
4. rich(fred) <=> ? [X0] : (~kind(X0) | old(X0)) [input p3]
9. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> (rich(X0) | ~strong(X0))) [input p8]
17. ? [... | 0 |
Everyone who is both rich and not calm is not humble. Everyone who is not generous is not patient. Everyone who is both rich and kind is not curious and vice versa. Everyone who is calm is funny. If someone is not generous or patient then someone is curious and vice versa. If someone is either tall or not tall then sus... | Mary is rich. | entailment | (![X]:((rich(X)&~calm(X))=>~humble(X)))&
(![X]:(~generous(X)=>~patient(X)))&
(![X]:((rich(X)&kind(X))<=>~curious(X)))&
(![X]:(calm(X)=>funny(X)))&
((?[X]:((~generous(X)|patient(X))))<=>(?[X]:(curious(X))))&
((?[X]:((tall(X)<~>~tall(X))))=>((~wise(susan)|strong(susan))))&
(![X]:((brave(X)<~>curious(X))=>(~creative(X)<~>... | rich(mary) | [
"p2",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4551894577372038304103746
% SZS output start Proof for 4551894577372038304103746
3. ! [X0] : ((kind(X0) & rich(X0)) <=> ~curious(X0)) [input p2]
10. ! [X0] : ((patient(X0) | ~tall(X0)) <=> (~funny(X0) <~> ~humble(X0))) [input p9]
16. ! [X0] : ((patient(X0) & tall(X0)) <=> curious(X0)) [in... | 0 |
If someone is not creative then someone is wise or calm. If mary is both patient and creative then someone is old or curious. Everyone who is not funny is both creative and not creative. If someone is kind then someone is not kind or curious. Everyone who is both not wise and quiet is both not quiet and not rich. Every... | Mary is not quiet. | entailment | ((?[X]:(~creative(X)))=>(?[X]:((wise(X)|calm(X)))))&
(((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X)))... | ~quiet(mary) | [
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4123673886557521092654993
% SZS output start Proof for 4123673886557521092654993
5. ! [X0] : ((quiet(X0) & ~wise(X0)) => (~rich(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((kind(X0) | generous(X0)) => (creative(X0) & ~kind(X0))) [input p6]
9. ? [X0] : (~tall(X0) | wise(X0)) => humble(lucy)... | 0 |
If mary is either not brave or calm then alice is either not wise or funny.
Everyone who is strong is either not creative or not brave and vice versa.
Everyone who is not happy or not quiet is both not generous and humble.
If someone is not curious then someone is both happy and patient and vice versa.
If mary is wise ... | Paul is not quiet. | contradiction | (((~brave(mary)<~>calm(mary)))=>((~wise(alice)<~>funny(alice))))&
(![X]:(strong(X)<=>(~creative(X)<~>~brave(X))))&
(![X]:((~happy(X)|~quiet(X))=>(~generous(X)&humble(X))))&
((?[X]:(~curious(X)))<=>(?[X]:((happy(X)&patient(X)))))&
((wise(mary))=>((~curious(paul)|strong(paul))))&
(((~generous(lucy)<~>wise(lucy)))=>((happ... | ~quiet(paul) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 407332203225714918964206
% SZS output start Proof for 407332203225714918964206
14. ! [X0] : (~quiet(X0) <=> ~rich(X0)) [input p13]
21. rich(paul) & kind(paul) [input p20]
24. ~quiet(paul) [input hypothesis]
54. ! [X0] : ((~quiet(X0) | rich(X0)) & (~rich(X0) | quiet(X0))) [nnf transformati... | 0 |
If lucy is both not strong and calm then lucy is not creative and vice versa.
Everyone who is funny or not curious is either generous or not brave and vice versa.
If someone is both happy and humble then someone is old.
If someone is both not funny and not old then someone is creative.
Everyone who is not tall or not q... | Susan is not quiet. | contradiction | (((~strong(lucy)&calm(lucy)))<=>(~creative(lucy)))&
(![X]:((funny(X)|~curious(X))<=>(generous(X)<~>~brave(X))))&
((?[X]:((happy(X)&humble(X))))=>(?[X]:(old(X))))&
((?[X]:((~funny(X)&~old(X))))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)|~quiet(X))=>(rich(X)<~>~brave(X))))&
((old(paul))=>(?[X]:((wise(X)&~rich(X)))))&
(![X]... | ~quiet(susan) | [
"p4",
"p8",
"p9",
"p10",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5618011881302034482619532
% SZS output start Proof for 5618011881302034482619532
5. ! [X0] : ((~quiet(X0) | ~tall(X0)) => (rich(X0) <~> ~brave(X0))) [input p4]
9. ! [X0] : ((~funny(X0) & ~happy(X0)) <=> ~quiet(X0)) [input p8]
10. ! [X0] : ((old(X0) & ~humble(X0)) <=> (quiet(X0) | humble(X... | 0 |
If someone is either brave or strong then someone is not calm.
Everyone who is not kind is brave.
Everyone who is both not strong and not humble is both not strong and not old and vice versa.
Everyone who is not humble or not curious is not humble or not patient.
If someone is both not strong and strong then mary is ki... | Susan is calm. | contradiction | ((?[X]:((brave(X)<~>strong(X))))=>(?[X]:(~calm(X))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:((~strong(X)&~humble(X))<=>(~strong(X)&~old(X))))&
(![X]:((~humble(X)|~curious(X))=>(~humble(X)|~patient(X))))&
((?[X]:((~strong(X)&strong(X))))<=>(kind(mary)))&
((~rich(john))=>(?[X]:((~brave(X)&~curious(X)))))&
((?[X]:(old(X)))<=... | calm(susan) | [
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 787541340965821139974021
% SZS output start Proof for 787541340965821139974021
9. ! [X0] : ((~creative(X0) | creative(X0)) => (~humble(X0) & rich(X0))) [input p8]
16. (calm(alice) & ~rich(alice)) <=> ? [X0] : strong(X0) [input p15]
23. strong(susan) | ~calm(susan) [input p22]
25. calm(sus... | 0 |
If susan is not generous or wise then someone is generous and vice versa.
Everyone who is both kind and funny is both funny and not happy.
Everyone who is either not quiet or strong is either creative or curious.
If paul is either not funny or old then john is both happy and funny and vice versa.
Everyone who is not ri... | Susan is not funny. | contradiction | (((~generous(susan)|wise(susan)))<=>(?[X]:(generous(X))))&
(![X]:((kind(X)&funny(X))=>(funny(X)&~happy(X))))&
(![X]:((~quiet(X)<~>strong(X))=>(creative(X)<~>curious(X))))&
(((~funny(paul)<~>old(paul)))<=>((happy(john)&funny(john))))&
(![X]:((~rich(X)|~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(... | ~funny(susan) | [
"p4",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8251148092660594882755104
% SZS output start Proof for 8251148092660594882755104
5. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (wise(X0) & kind(X0))) [input p4]
6. (~strong(lucy) & ~funny(lucy)) <=> ? [X0] : rich(X0) [input p5]
11. ! [X0] : (quiet(X0) <=> (~curious(X0) & ~calm(X0))) [input p1... | 0 |
Everyone who is humble is either not curious or not brave. Everyone who is not generous is both not old and not curious and vice versa. Everyone who is patient is not creative or wise. If alice is funny or not tall then someone is generous or brave. Everyone who is not wise or tall is patient. Everyone who is not calm ... | Alice is funny. | contradiction | (![X]:(humble(X)=>(~curious(X)<~>~brave(X))))&
(![X]:(~generous(X)<=>(~old(X)&~curious(X))))&
(![X]:(patient(X)=>(~creative(X)|wise(X))))&
(((funny(alice)|~tall(alice)))=>(?[X]:((generous(X)|brave(X)))))&
(![X]:((~wise(X)|tall(X))=>patient(X)))&
(![X]:((~calm(X)|~kind(X))=>(humble(X)&strong(X))))&
(![X]:((~curious(X)|s... | funny(alice) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3785754467020917848454104
% SZS output start Proof for 3785754467020917848454104
11. ! [X0] : ((~old(X0) & patient(X0)) <=> (funny(X0) & ~patient(X0))) [input p10]
14. ! [X0] : (strong(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p13]
23. funny(alice) [input hypothesis]
52. ! [X0] : (((... | 0 |
Everyone who is both old and not creative is strong or happy. Everyone who is both strong and patient is either not tall or brave. If someone is creative then someone is not old and vice versa. If someone is both brave and not tall then mary is both strong and humble and vice versa. If someone is not calm then someone ... | Mary is not patient. | contradiction | (![X]:((old(X)&~creative(X))=>(strong(X)|happy(X))))&
(![X]:((strong(X)&patient(X))=>(~tall(X)<~>brave(X))))&
((?[X]:(creative(X)))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&~tall(X))))<=>((strong(mary)&humble(mary))))&
((?[X]:(~calm(X)))<=>(?[X]:((~wise(X)<~>tall(X)))))&
(![X]:((humble(X)<~>~creative(X))=>(~wise(X)<~>~cr... | ~patient(mary) | [
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 907370128046839232689632
% SZS output start Proof for 907370128046839232689632
13. curious(john) <=> (patient(lucy) | brave(lucy)) [input p12]
14. (patient(mary) & ~calm(mary)) <=> ? [X0] : (humble(X0) | ~brave(X0)) [input p13]
17. ~quiet(john) & ~curious(john) [input p16]
25. ~patient(ma... | 0 |
If john is both not patient and kind then susan is creative. Everyone who is curious is either tall or funny and vice versa. Everyone who is not curious or wise is either strong or brave and vice versa. If someone is not strong or calm then mary is either curious or not kind and vice versa. Everyone who is both patient... | Fred is happy. | entailment | (((~patient(john)&kind(john)))=>(creative(susan)))&
(![X]:(curious(X)<=>(tall(X)<~>funny(X))))&
(![X]:((~curious(X)|wise(X))<=>(strong(X)<~>brave(X))))&
((?[X]:((~strong(X)|calm(X))))<=>((curious(mary)<~>~kind(mary))))&
(![X]:((patient(X)&wise(X))=>~tall(X)))&
(((calm(fred)&~creative(fred)))=>(~kind(paul)))&
(![X]:((~p... | happy(fred) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 517714624551806768594416
% SZS output start Proof for 517714624551806768594416
8. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (kind(X0) & quiet(X0))) [input p7]
14. ! [X0] : (~happy(X0) => (humble(X0) & ~quiet(X0))) [input p13]
24. ~happy(fred) [input hypothesis]
27. ! [X0] : (~happy(X0) => ... | 0 |
If paul is both curious and happy then someone is both creative and calm. If someone is calm or not brave then someone is rich and vice versa. Everyone who is both generous and curious is not creative and vice versa. If mary is both brave and strong then alice is both calm and not humble. Everyone who is not humble is ... | Mary is not wise. | entailment | (((curious(paul)&happy(paul)))=>(?[X]:((creative(X)&calm(X)))))&
((?[X]:((calm(X)|~brave(X))))<=>(?[X]:(rich(X))))&
(![X]:((generous(X)&curious(X))<=>~creative(X)))&
(((brave(mary)&strong(mary)))=>((calm(alice)&~humble(alice))))&
(![X]:(~humble(X)<=>(strong(X)<~>calm(X))))&
(![X]:(~wise(X)<=>(calm(X)|~funny(X))))&
(((r... | ~wise(mary) | [
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5347110081205919133904063
% SZS output start Proof for 5347110081205919133904063
6. ! [X0] : (~wise(X0) <=> (~funny(X0) | calm(X0))) [input p5]
15. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (~funny(X0) & ~brave(X0))) [input p14]
16. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (calm(X0) <~> fu... | 0 |
Everyone who is not old is not patient or patient and vice versa.
If john is both not strong and not wise then someone is both curious and brave and vice versa.
If john is quiet then someone is both not quiet and funny and vice versa.
Everyone who is tall is either not brave or quiet and vice versa.
If fred is generous... | Alice is funny. | contradiction | (![X]:(~old(X)<=>(~patient(X)|patient(X))))&
(((~strong(john)&~wise(john)))<=>(?[X]:((curious(X)&brave(X)))))&
((quiet(john))<=>(?[X]:((~quiet(X)&funny(X)))))&
(![X]:(tall(X)<=>(~brave(X)<~>quiet(X))))&
(((generous(fred)|wise(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)&calm(X))=>(~tall(X)&old(X))))&
((?[X]:((curiou... | funny(alice) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7033864480248693085840459
% SZS output start Proof for 7033864480248693085840459
1. ! [X0] : (~old(X0) <=> (patient(X0) | ~patient(X0))) [input p0]
3. quiet(john) <=> ? [X0] : (funny(X0) & ~quiet(X0)) [input p2]
4. ! [X0] : (tall(X0) <=> (~brave(X0) <~> quiet(X0))) [input p3]
8. ! [X0] : ... | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is rich and vice versa.
Everyone who is either creative or not curious is kind.
If someone is either creative or calm then john is both patient and not funny and vice versa.
Everyone who is not calm or not ... | Lucy is creative. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>(rich(paul)))&
(![X]:((creative(X)<~>~curious(X))=>kind(X)))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(X))<=>(~happy(X)|generous(X))))&
(![X]:((generous(X)&~brave(X))<=>(~patien... | creative(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 506524404304053723733607
% SZS output start Proof for 506524404304053723733607
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
4. ? [X0] : (creative(X0) <~> calm(X0)) <=> (~funny(john) & patient(john)) [input p3]
6. ! [X0] : ((~brave(X0) & generous(X0)) <=> (... | 0 |
If paul is wise then someone is not quiet or kind. Everyone who is either kind or not patient is both not patient and not humble and vice versa. If someone is both kind and rich then someone is not quiet or funny. If mary is either old or wise then someone is both not strong and not curious and vice versa. Everyone who... | Mary is not strong. | contradiction | ((wise(paul))=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((kind(X)<~>~patient(X))<=>(~patient(X)&~humble(X))))&
((?[X]:((kind(X)&rich(X))))=>(?[X]:((~quiet(X)|funny(X)))))&
(((old(mary)<~>wise(mary)))<=>(?[X]:((~strong(X)&~curious(X)))))&
(![X]:((quiet(X)<~>generous(X))=>(~calm(X)&~humble(X))))&
(![X]:((~patient(X)|~generou... | ~strong(mary) | [
"p1",
"p6",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8155183269651790132305574
% SZS output start Proof for 8155183269651790132305574
2. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (~humble(X0) & ~patient(X0))) [input p1]
7. ! [X0] : ((calm(X0) & strong(X0)) <=> (rich(X0) | funny(X0))) [input p6]
9. ! [X0] : ((humble(X0) & ~patient(X0)) => (r... | 0 |
Everyone who is both kind and rich is not generous. Everyone who is kind or happy is not quiet or wise. Everyone who is happy or not old is not tall or not calm and vice versa. Everyone who is tall or not strong is either not generous or not humble and vice versa. Everyone who is generous is not calm or quiet. If someo... | Alice is happy. | neutral | (![X]:((kind(X)&rich(X))=>~generous(X)))&
(![X]:((kind(X)|happy(X))=>(~quiet(X)|wise(X))))&
(![X]:((happy(X)|~old(X))<=>(~tall(X)|~calm(X))))&
(![X]:((tall(X)|~strong(X))<=>(~generous(X)<~>~humble(X))))&
(![X]:(generous(X)=>(~calm(X)|quiet(X))))&
((?[X]:((~patient(X)<~>rich(X))))<=>((funny(mary)&generous(mary))))&
((?[... | happy(alice) | [] | null | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If fred is either not creative or curious then john is not brave and vice versa.
Everyone who is both happy and calm is either wise or not brave.
If susan is both wise and calm then someone is not funny and vice versa.
Everyone who is both ... | Paul is not generous. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((~creative(fred)<~>curious(fred)))<=>(~brave(john)))&
(![X]:((happy(X)&calm(X))=>(wise(X)<~>~brave(X))))&
(((wise(susan)&calm(susan)))<=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~quiet(X))=>(funny(X)&~calm(X))))&
(![X]:((~generous(X)&~funny(X))=>(quiet(X)<~>~quiet(X... | ~generous(paul) | [] | null | 0 |
Everyone who is both tall and quiet is both patient and not quiet.
If someone is humble then someone is old or humble and vice versa.
Everyone who is tall or old is both old and quiet.
If lucy is calm then alice is tall or not old.
If someone is not creative or not rich then paul is not quiet.
Everyone who is both quie... | Fred is not strong. | contradiction | (![X]:((tall(X)&quiet(X))=>(patient(X)&~quiet(X))))&
((?[X]:(humble(X)))<=>(?[X]:((old(X)|humble(X)))))&
(![X]:((tall(X)|old(X))=>(old(X)&quiet(X))))&
((calm(lucy))=>((tall(alice)|~old(alice))))&
((?[X]:((~creative(X)|~rich(X))))=>(~quiet(paul)))&
(![X]:((quiet(X)&wise(X))<=>(~creative(X)&~quiet(X))))&
(![X]:((~patient... | ~strong(fred) | [
"p5",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 848298367142584324161313
% SZS output start Proof for 848298367142584324161313
6. ! [X0] : ((wise(X0) & quiet(X0)) <=> (~quiet(X0) & ~creative(X0))) [input p5]
10. ! [X0] : ((brave(X0) & creative(X0)) <=> (patient(X0) <~> ~quiet(X0))) [input p9]
15. ! [X0] : ((~calm(X0) | ~strong(X0)) => ... | 0 |
Everyone who is creative or quiet is not happy or kind.
If someone is either not patient or quiet then someone is either calm or not rich and vice versa.
If lucy is brave then fred is calm.
Everyone who is generous or not tall is not kind or quiet.
If someone is kind then someone is not happy.
Everyone who is either pa... | Paul is not creative. | entailment | (![X]:((creative(X)|quiet(X))=>(~happy(X)|kind(X))))&
((?[X]:((~patient(X)<~>quiet(X))))<=>(?[X]:((calm(X)<~>~rich(X)))))&
((brave(lucy))=>(calm(fred)))&
(![X]:((generous(X)|~tall(X))=>(~kind(X)|quiet(X))))&
((?[X]:(kind(X)))=>(?[X]:(~happy(X))))&
(![X]:((patient(X)<~>old(X))=>(~tall(X)&~old(X))))&
(((brave(paul)&happy... | ~creative(paul) | [
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2316740798106264679891561
% SZS output start Proof for 2316740798106264679891561
8. (rich(paul) | ~creative(paul)) <=> (curious(john) | wise(john)) [input p7]
10. ! [X0] : ((~happy(X0) & happy(X0)) <=> ~wise(X0)) [input p9]
15. ! [X0] : ((rich(X0) | ~patient(X0)) <=> (~wise(X0) | ~rich(X0... | 0 |
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then alice is either creative or generous and vice versa.
Everyo... | Susan is not old. | entailment | ((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~brave(X))=>(~patient(X)|~strong(X))))&
((?[X]:((~humble(X... | ~old(susan) | [
"p2",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8616453036403870430160404
% SZS output start Proof for 8616453036403870430160404
3. ? [X0] : curious(X0) => (~strong(susan) <~> ~old(susan)) [input p2]
10. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~curious(X0) <~> humble(X0))) [input p9]
15. ! [X0] : ((~strong(X0) <~> ~brave(X0)) <=> (~o... | 0 |
Everyone who is calm or not quiet is generous or not funny and vice versa.
If susan is both not curious and humble then mary is either not curious or happy.
Everyone who is wise or not generous is both brave and not wise and vice versa.
Everyone who is either rich or not strong is both not generous and not wise and vic... | Fred is kind. | entailment | (![X]:((calm(X)|~quiet(X))<=>(generous(X)|~funny(X))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~wise(X))))&
(![X]:((funny(X)&kind(X))<=>~calm(X)))&
(![X]:(strong(X)<=>(calm(X)<~>generous(... | kind(fred) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4149257793693909683893755
% SZS output start Proof for 4149257793693909683893755
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
If someone is old or not strong then lucy is either creative or strong and vice versa.
If fred is calm or not calm then mary is not curious or generous and vice versa.
If paul is not patient then someone is brave or rich and vice versa.
Everyone who is either not brave or rich is either happy or not happy and vice vers... | Lucy is creative. | entailment | ((?[X]:((old(X)|~strong(X))))<=>((creative(lucy)<~>strong(lucy))))&
(((calm(fred)|~calm(fred)))<=>((~curious(mary)|generous(mary))))&
((~patient(paul))<=>(?[X]:((brave(X)|rich(X)))))&
(![X]:((~brave(X)<~>rich(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((~strong(X)<~>~rich(X))))<=>(?[X]:(~kind(X))))&
(![X]:(rich(X)=>(brave(... | creative(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6994750417118970721750509
% SZS output start Proof for 6994750417118970721750509
8. ! [X0] : (~wise(X0) <=> (wise(X0) & ~creative(X0))) [input p7]
22. ~creative(lucy) [input hypothesis]
52. ! [X0] : ((~wise(X0) | (~wise(X0) | creative(X0))) & ((wise(X0) & ~creative(X0)) | wise(X0))) [nnf ... | 0 |
If fred is not quiet or quiet then someone is both curious and not kind. Everyone who is not happy or old is both not humble and old and vice versa. If mary is funny then someone is generous or not funny and vice versa. Everyone who is happy or humble is either quiet or strong and vice versa. If someone is either brave... | Paul is not strong. | neutral | (((~quiet(fred)|quiet(fred)))=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:((~happy(X)|old(X))<=>(~humble(X)&old(X))))&
((funny(mary))<=>(?[X]:((generous(X)|~funny(X)))))&
(![X]:((happy(X)|humble(X))<=>(quiet(X)<~>strong(X))))&
((?[X]:((brave(X)<~>~funny(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~funny(X)<~>kind(X))))<=>(?[X]:(~p... | ~strong(paul) | [] | null | 0 |
If paul is not kind then someone is strong or kind and vice versa.
Everyone who is either calm or humble is both not curious and kind.
If someone is either funny or not humble then fred is both not curious and not funny and vice versa.
If paul is old then fred is tall or not quiet.
Everyone who is either not brave or c... | Mary is creative. | contradiction | ((~kind(paul))<=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((calm(X)<~>humble(X))=>(~curious(X)&kind(X))))&
((?[X]:((funny(X)<~>~humble(X))))<=>((~curious(fred)&~funny(fred))))&
((old(paul))=>((tall(fred)|~quiet(fred))))&
(![X]:((~brave(X)<~>curious(X))=>(~happy(X)|funny(X))))&
(((~calm(john)&brave(john)))=>(?[X]:((~curious... | creative(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2362174543234142684459855
% SZS output start Proof for 2362174543234142684459855
16. ! [X0] : (creative(X0) <=> (funny(X0) & ~creative(X0))) [input p15]
24. creative(mary) [input hypothesis]
71. ! [X0] : ((creative(X0) | (~funny(X0) | creative(X0))) & ((funny(X0) & ~creative(X0)) | ~creat... | 0 |
Everyone who is both quiet and not tall is either not calm or not humble. If someone is both not brave and tall then someone is either brave or not rich and vice versa. Everyone who is humble is either calm or rich. Everyone who is not calm is either not funny or patient and vice versa. Everyone who is either not funny... | Fred is quiet. | neutral | (![X]:((quiet(X)&~tall(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:((~brave(X)&tall(X))))<=>(?[X]:((brave(X)<~>~rich(X)))))&
(![X]:(humble(X)=>(calm(X)<~>rich(X))))&
(![X]:(~calm(X)<=>(~funny(X)<~>patient(X))))&
(![X]:((~funny(X)<~>~calm(X))<=>(~tall(X)|curious(X))))&
((?[X]:(rich(X)))=>((~happy(alice)|strong(alice))))&
((?... | quiet(fred) | [] | null | 0 |
If someone is not wise or not tall then someone is not calm and vice versa. If someone is generous or not patient then alice is either not happy or humble and vice versa. If fred is either not old or not tall then fred is not creative and vice versa. Everyone who is funny is both not generous and not happy. Everyone wh... | Susan is not tall. | neutral | ((?[X]:((~wise(X)|~tall(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)|~patient(X))))<=>((~happy(alice)<~>humble(alice))))&
(((~old(fred)<~>~tall(fred)))<=>(~creative(fred)))&
(![X]:(funny(X)=>(~generous(X)&~happy(X))))&
(![X]:((~quiet(X)|~rich(X))<=>~old(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((generous(X)<~>~wi... | ~tall(susan) | [] | null | 0 |
Everyone who is either not kind or not brave is either happy or not wise and vice versa. If someone is both not kind and not happy then lucy is kind or not creative and vice versa. Everyone who is either wise or kind is not old or not funny. Everyone who is not creative or not happy is generous. Everyone who is either ... | Lucy is not creative. | neutral | (![X]:((~kind(X)<~>~brave(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((kind(lucy)|~creative(lucy))))&
(![X]:((wise(X)<~>kind(X))=>(~old(X)|~funny(X))))&
(![X]:((~creative(X)|~happy(X))=>generous(X)))&
(![X]:((humble(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(![X]:((patient(X)|~generous(X))=>rich(X... | ~creative(lucy) | [] | null | 0 |
Everyone who is either quiet or not rich is not curious and vice versa.
Everyone who is humble or not strong is creative.
Everyone who is strong or not calm is either not calm or patient and vice versa.
Everyone who is both not rich and calm is both not old and old.
If lucy is not quiet or not rich then someone is eith... | John is not old. | neutral | (![X]:((quiet(X)<~>~rich(X))<=>~curious(X)))&
(![X]:((humble(X)|~strong(X))=>creative(X)))&
(![X]:((strong(X)|~calm(X))<=>(~calm(X)<~>patient(X))))&
(![X]:((~rich(X)&calm(X))=>(~old(X)&old(X))))&
(((~quiet(lucy)|~rich(lucy)))<=>(?[X]:((happy(X)<~>strong(X)))))&
((?[X]:((~calm(X)|generous(X))))=>(?[X]:((brave(X)&~patien... | ~old(john) | [] | null | 0 |
If fred is brave then mary is either tall or curious and vice versa. If someone is not tall then someone is either patient or happy and vice versa. If someone is both not wise and brave then someone is either strong or not curious and vice versa. If someone is either not brave or calm then someone is funny or strong an... | Mary is not humble. | contradiction | ((brave(fred))<=>((tall(mary)<~>curious(mary))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)<~>happy(X)))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:((strong(X)<~>~curious(X)))))&
((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X)))... | ~humble(mary) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 882876517561516114551475
% SZS output start Proof for 882876517561516114551475
1. brave(fred) <=> (tall(mary) <~> curious(mary)) [input p0]
5. ! [X0] : (~kind(X0) <=> ~happy(X0)) [input p4]
7. ! [X0] : (creative(X0) => (~happy(X0) & ~creative(X0))) [input p6]
9. ! [X0] : ((~tall(X0) | ~ki... | 0 |
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