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 either curious or not humble is creative or happy.
Everyone who is either not curious or not strong is curious or happy and vice versa.
If someone is both tall and not curious then lucy is both rich and curious and vice versa.
Everyone who is not calm or brave is both not quiet and generous and vice ver... | Fred is not calm. | contradiction | (![X]:((curious(X)<~>~humble(X))=>(creative(X)|happy(X))))&
(![X]:((~curious(X)<~>~strong(X))<=>(curious(X)|happy(X))))&
((?[X]:((tall(X)&~curious(X))))<=>((rich(lucy)&curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(~quiet(X)&generous(X))))&
(![X]:((~strong(X)|rich(X))=>creative(X)))&
((?[X]:(~calm(X)))=>(?[X]:(~humble... | ~calm(fred) | [
"p4",
"p9",
"p10",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2649162074771193116948558
% SZS output start Proof for 2649162074771193116948558
5. ! [X0] : ((rich(X0) | ~strong(X0)) => creative(X0)) [input p4]
10. ! [X0] : ((~happy(X0) | ~patient(X0)) => (~calm(X0) <~> ~happy(X0))) [input p9]
11. ! [X0] : (strong(X0) => ~old(X0)) [input p10]
12. ? [X... | 0 |
Everyone who is not generous is happy and vice versa.
Everyone who is not quiet or happy is both generous and not happy and vice versa.
Everyone who is either not strong or funny is either not kind or kind and vice versa.
Everyone who is tall is either not tall or not happy.
Everyone who is old is rich or generous and ... | Alice is not strong. | contradiction | (![X]:(~generous(X)<=>happy(X)))&
(![X]:((~quiet(X)|happy(X))<=>(generous(X)&~happy(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(~kind(X)<~>kind(X))))&
(![X]:(tall(X)=>(~tall(X)<~>~happy(X))))&
(![X]:(old(X)<=>(rich(X)|generous(X))))&
(![X]:(~patient(X)<=>(brave(X)<~>patient(X))))&
(![X]:((humble(X)|~humble(X))=>~happy(X))... | ~strong(alice) | [
"p2",
"p11",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4527438723740704138539305
% SZS output start Proof for 4527438723740704138539305
3. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (~kind(X0) <~> kind(X0))) [input p2]
12. ! [X0] : ((~tall(X0) <~> ~patient(X0)) => (quiet(X0) | funny(X0))) [input p11]
15. ! [X0] : (quiet(X0) => (~generous(X0) &... | 0 |
Everyone who is calm or not quiet is kind or rich and vice versa. Everyone who is either funny or not patient is old or not creative. Everyone who is not humble is either not old or creative and vice versa. Everyone who is old is both not patient and old. Everyone who is brave is both not creative and not wise and vice... | Fred is old. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|rich(X))))&
(![X]:((funny(X)<~>~patient(X))=>(old(X)|~creative(X))))&
(![X]:(~humble(X)<=>(~old(X)<~>creative(X))))&
(![X]:(old(X)=>(~patient(X)&old(X))))&
(![X]:(brave(X)<=>(~creative(X)&~wise(X))))&
(![X]:((funny(X)&~quiet(X))=>(~quiet(X)<~>~curious(X))))&
(((~wise(john)&strong(j... | old(fred) | [] | null | 0 |
Everyone who is not funny or tall is funny or brave and vice versa.
Everyone who is tall is both calm and not brave and vice versa.
If someone is either not patient or creative then paul is creative.
Everyone who is not wise or quiet is not kind.
If someone is either not happy or curious then someone is not humble or n... | Paul is brave. | entailment | (![X]:((~funny(X)|tall(X))<=>(funny(X)|brave(X))))&
(![X]:(tall(X)<=>(calm(X)&~brave(X))))&
((?[X]:((~patient(X)<~>creative(X))))=>(creative(paul)))&
(![X]:((~wise(X)|quiet(X))=>~kind(X)))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:((~humble(X)|~wise(X)))))&
((?[X]:((kind(X)|rich(X))))=>((old(susan)<~>brave(susan))))&... | brave(paul) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3088482105709276450745681
% SZS output start Proof for 3088482105709276450745681
1. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (brave(X0) | funny(X0))) [input p0]
2. ! [X0] : (tall(X0) <=> (~brave(X0) & calm(X0))) [input p1]
3. ? [X0] : (~patient(X0) <~> creative(X0)) => creative(paul) [input ... | 0 |
Everyone who is not tall is not quiet or old. If fred is not kind then fred is either not wise or not rich. Everyone who is not patient is curious and vice versa. If someone is both wise and rich then someone is not rich and vice versa. If mary is not quiet then someone is not calm or not tall. Everyone who is funny or... | Alice is patient. | contradiction | (![X]:(~tall(X)=>(~quiet(X)|old(X))))&
((~kind(fred))=>((~wise(fred)<~>~rich(fred))))&
(![X]:(~patient(X)<=>curious(X)))&
((?[X]:((wise(X)&rich(X))))<=>(?[X]:(~rich(X))))&
((~quiet(mary))=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((funny(X)|calm(X))<=>(~humble(X)<~>~tall(X))))&
(![X]:(humble(X)<=>(curious(X)|~humble(X))))&... | patient(alice) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1726762818444880256474853
% SZS output start Proof for 1726762818444880256474853
3. ! [X0] : (~patient(X0) <=> curious(X0)) [input p2]
7. ! [X0] : (humble(X0) <=> (~humble(X0) | curious(X0))) [input p6]
25. patient(alice) [input hypothesis]
38. ! [X0] : ((~patient(X0) | ~curious(X0)) & (c... | 0 |
Everyone who is either brave or not rich is not calm.
Everyone who is brave or not tall is brave or strong and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either not rich or brave and vice versa.
If som... | John is not happy. | entailment | (![X]:((brave(X)<~>~rich(X))=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))))&
((?[X]:((curious... | ~happy(john) | [
"p1",
"p2",
"p4",
"p9",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8806585211184120618882746
% SZS output start Proof for 8806585211184120618882746
2. ! [X0] : ((~tall(X0) | brave(X0)) <=> (strong(X0) | brave(X0))) [input p1]
3. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p2]
5. ! [X0] : (~happy(X0) <=> (~rich(X0) <~> brave(X0))) [in... | 0 |
Everyone who is happy is either curious or not rich.
Everyone who is both old and not kind is not patient.
Everyone who is both rich and not humble is not generous.
If someone is both old and not old then someone is brave and vice versa.
If someone is not old then alice is not calm or curious.
Everyone who is both not ... | Susan is kind. | contradiction | (![X]:(happy(X)=>(curious(X)<~>~rich(X))))&
(![X]:((old(X)&~kind(X))=>~patient(X)))&
(![X]:((rich(X)&~humble(X))=>~generous(X)))&
((?[X]:((old(X)&~old(X))))<=>(?[X]:(brave(X))))&
((?[X]:(~old(X)))=>((~calm(alice)|curious(alice))))&
(![X]:((~quiet(X)&~brave(X))=>rich(X)))&
(![X]:((~patient(X)&patient(X))=>(rich(X)<~>~ol... | kind(susan) | [
"p0",
"p3",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2252572989226968026487012
% SZS output start Proof for 2252572989226968026487012
1. ! [X0] : (happy(X0) => (curious(X0) <~> ~rich(X0))) [input p0]
4. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : brave(X0) [input p3]
9. ! [X0] : ((~old(X0) & rich(X0)) <=> (brave(X0) | ~brave(X0))) [input p8]... | 0 |
If someone is both not happy and not creative then someone is either not wise or not brave.
If paul is either happy or not brave then someone is not patient.
If someone is both wise and curious then alice is either not happy or kind.
Everyone who is either not generous or not patient is kind and vice versa.
If someone ... | Susan is not creative. | contradiction | ((?[X]:((~happy(X)&~creative(X))))=>(?[X]:((~wise(X)<~>~brave(X)))))&
(((happy(paul)<~>~brave(paul)))=>(?[X]:(~patient(X))))&
((?[X]:((wise(X)&curious(X))))=>((~happy(alice)<~>kind(alice))))&
(![X]:((~generous(X)<~>~patient(X))<=>kind(X)))&
((?[X]:((~humble(X)&quiet(X))))<=>(?[X]:((~curious(X)&humble(X)))))&
((?[X]:((f... | ~creative(susan) | [
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8627354621381548032626450
% SZS output start Proof for 8627354621381548032626450
15. ! [X0] : ((generous(X0) <~> creative(X0)) => (calm(X0) & ~generous(X0))) [input p14]
21. generous(susan) [input p20]
24. ~creative(susan) [input hypothesis]
37. ! [X0] : ((calm(X0) & ~generous(X0)) | (gen... | 0 |
If someone is either quiet or not funny then paul is quiet and vice versa.
If mary is not creative or not rich then someone is brave or not calm.
If someone is either brave or generous then mary is both tall and not funny and vice versa.
Everyone who is not tall is curious.
Everyone who is both humble and wise is both ... | Alice is not quiet. | entailment | ((?[X]:((quiet(X)<~>~funny(X))))<=>(quiet(paul)))&
(((~creative(mary)|~rich(mary)))=>(?[X]:((brave(X)|~calm(X)))))&
((?[X]:((brave(X)<~>generous(X))))<=>((tall(mary)&~funny(mary))))&
(![X]:(~tall(X)=>curious(X)))&
(![X]:((humble(X)&wise(X))<=>(tall(X)&~rich(X))))&
(((strong(john)<~>~happy(john)))<=>((~kind(alice)&funny... | ~quiet(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1677561541555502227684213
% SZS output start Proof for 1677561541555502227684213
18. ~quiet(alice) & creative(alice) [input p17]
25. quiet(alice) [input hypothesis]
132. ~quiet(alice) [cnf transformation 18]
139. quiet(alice) [cnf transformation 25]
291. $false [subsumption resolution 139... | 0 |
If someone is either generous or not humble then fred is not wise or humble and vice versa.
If someone is not calm then someone is not happy.
If john is quiet or not quiet then alice is either creative or patient.
Everyone who is not generous is both funny and strong and vice versa.
Everyone who is curious or strong is... | Fred is humble. | entailment | ((?[X]:((generous(X)<~>~humble(X))))<=>((~wise(fred)|humble(fred))))&
((?[X]:(~calm(X)))=>(?[X]:(~happy(X))))&
(((quiet(john)|~quiet(john)))=>((creative(alice)<~>patient(alice))))&
(![X]:(~generous(X)<=>(funny(X)&strong(X))))&
(![X]:((curious(X)|strong(X))<=>(~brave(X)<~>~tall(X))))&
((~kind(alice))=>(?[X]:((creative(X... | humble(fred) | [
"p3",
"p9",
"p10",
"p11",
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5215316957497370831567616
% SZS output start Proof for 5215316957497370831567616
4. ! [X0] : (~generous(X0) <=> (strong(X0) & funny(X0))) [input p3]
10. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (~quiet(X0) | ~tall(X0))) [input p9]
11. ! [X0] : ((~generous(X0) & ~calm(X0)) <=> patient(X0... | 0 |
Everyone who is both not happy and calm is both brave and not strong and vice versa. Everyone who is not rich or not funny is either brave or old and vice versa. Everyone who is either rich or not creative is either generous or not brave and vice versa. Everyone who is curious is either not funny or rich. Everyone who ... | Mary is tall. | contradiction | (![X]:((~happy(X)&calm(X))<=>(brave(X)&~strong(X))))&
(![X]:((~rich(X)|~funny(X))<=>(brave(X)<~>old(X))))&
(![X]:((rich(X)<~>~creative(X))<=>(generous(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~funny(X)<~>rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~happy(X)&quiet(X))))&
(![X]:((generous(X)&~patient(X))<=>(humble(X)|st... | tall(mary) | [
"p4",
"p5",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4232059239255600833138568
% SZS output start Proof for 4232059239255600833138568
5. ! [X0] : ((~strong(X0) | ~curious(X0)) <=> (quiet(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((~patient(X0) & generous(X0)) <=> (strong(X0) | humble(X0))) [input p5]
8. ! [X0] : ((rich(X0) & strong(X0)) => ... | 0 |
If lucy is strong then alice is either not old or not calm.
If john is both not old and humble then someone is either not brave or creative.
Everyone who is not generous or generous is both creative and rich.
Everyone who is both not quiet and happy is either brave or calm and vice versa.
If alice is generous or calm t... | Susan is not brave. | entailment | ((strong(lucy))=>((~old(alice)<~>~calm(alice))))&
(((~old(john)&humble(john)))=>(?[X]:((~brave(X)<~>creative(X)))))&
(![X]:((~generous(X)|generous(X))=>(creative(X)&rich(X))))&
(![X]:((~quiet(X)&happy(X))<=>(brave(X)<~>calm(X))))&
(((generous(alice)|calm(alice)))=>(?[X]:(tall(X))))&
(![X]:((funny(X)|~rich(X))=>(creativ... | ~brave(susan) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 464463110397563441852338
% SZS output start Proof for 464463110397563441852338
4. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (brave(X0) <~> calm(X0))) [input p3]
7. ! [X0] : ((funny(X0) & quiet(X0)) <=> (brave(X0) | calm(X0))) [input p6]
12. (calm(susan) <~> ~funny(susan)) <=> (quiet(susan) <... | 0 |
Everyone who is not rich or wise is both calm and rich and vice versa.
Everyone who is not happy or quiet is both kind and not kind.
If someone is calm or creative then someone is both calm and happy and vice versa.
Everyone who is not happy is quiet and vice versa.
Everyone who is generous is not calm or quiet and vic... | Fred is not generous. | contradiction | (![X]:((~rich(X)|wise(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(kind(X)&~kind(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(~happy(X)<=>quiet(X)))&
(![X]:(generous(X)<=>(~calm(X)|quiet(X))))&
((?[X]:((humble(X)|~humble(X))))<=>((tall(lucy)|~creative(lucy))))&
(![X]:((~funn... | ~generous(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9011257330134669709376695
% SZS output start Proof for 9011257330134669709376695
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~kind(X0) & kind(X0))) [input p1]
7. ! [X0] : ((generous(X0) & ~funny(X0)) <=> (humble(X0) | happy(X0))) [input p6]
25. ~generous(fred) [input hypothesis]
27. ! [X0] ... | 0 |
Everyone who is not funny or kind is both not quiet and creative and vice versa.
Everyone who is not quiet or patient is both generous and not calm and vice versa.
If someone is humble then someone is not calm or not old and vice versa.
Everyone who is both not old and strong is either kind or tall.
If someone is brave... | Susan is strong. | contradiction | (![X]:((~funny(X)|kind(X))<=>(~quiet(X)&creative(X))))&
(![X]:((~quiet(X)|patient(X))<=>(generous(X)&~calm(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~old(X)&strong(X))=>(kind(X)<~>tall(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((rich(X)|~funny(X)))))&
((?[X]:((~calm(X)&strong(X))))<=>(?[X]:((... | strong(susan) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4560406253229257999417434
% SZS output start Proof for 4560406253229257999417434
8. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> (~old(X0) | old(X0))) [input p7]
22. ~creative(susan) [input p21]
25. strong(susan) [input hypothesis]
61. ! [X0] : ((((~creative(X0) | strong(X0)) & (creative(... | 0 |
Everyone who is not kind or not creative is brave.
Everyone who is both not generous and creative is humble or old.
Everyone who is either not strong or not brave is not generous or tall.
If someone is not quiet or generous then john is curious and vice versa.
If someone is both old and creative then someone is strong ... | Paul is creative. | neutral | (![X]:((~kind(X)|~creative(X))=>brave(X)))&
(![X]:((~generous(X)&creative(X))=>(humble(X)|old(X))))&
(![X]:((~strong(X)<~>~brave(X))=>(~generous(X)|tall(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>(curious(john)))&
((?[X]:((old(X)&creative(X))))=>(?[X]:((strong(X)|brave(X)))))&
(![X]:(~curious(X)=>(~funny(X)&~humble(X))... | creative(paul) | [] | null | 0 |
Everyone who is either generous or not old is either tall or patient. Everyone who is both kind and not humble is kind. If alice is curious or not quiet then mary is either not calm or creative. If lucy is both not curious and not tall then someone is both tall and kind. If someone is kind or not calm then someone is s... | Paul is not kind. | entailment | (![X]:((generous(X)<~>~old(X))=>(tall(X)<~>patient(X))))&
(![X]:((kind(X)&~humble(X))=>kind(X)))&
(((curious(alice)|~quiet(alice)))=>((~calm(mary)<~>creative(mary))))&
(((~curious(lucy)&~tall(lucy)))=>(?[X]:((tall(X)&kind(X)))))&
((?[X]:((kind(X)|~calm(X))))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:(generous(X)=>(~brav... | ~kind(paul) | [
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 380092018475109439163320
% SZS output start Proof for 380092018475109439163320
7. ! [X0] : ((~calm(X0) & ~wise(X0)) => (calm(X0) & ~rich(X0))) [input p6]
12. ! [X0] : ((kind(X0) | calm(X0)) => (humble(X0) & ~wise(X0))) [input p11]
14. ! [X0] : ((brave(X0) | calm(X0)) => (old(X0) & wise(X0... | 0 |
If fred is not wise then alice is not happy or quiet and vice versa.
Everyone who is both not curious and rich is calm or not old.
Everyone who is not generous is both not strong and quiet.
Everyone who is both not strong and not happy is not humble and vice versa.
Everyone who is either not strong or tall is rich or n... | Susan is not wise. | entailment | ((~wise(fred))<=>((~happy(alice)|quiet(alice))))&
(![X]:((~curious(X)&rich(X))=>(calm(X)|~old(X))))&
(![X]:(~generous(X)=>(~strong(X)&quiet(X))))&
(![X]:((~strong(X)&~happy(X))<=>~humble(X)))&
(![X]:((~strong(X)<~>tall(X))<=>(rich(X)|~happy(X))))&
(![X]:((calm(X)&~quiet(X))=>(calm(X)<~>patient(X))))&
((?[X]:((brave(X)|... | ~wise(susan) | [
"p7",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 812966998343260635788667
% SZS output start Proof for 812966998343260635788667
8. ! [X0] : ((~kind(X0) | wise(X0)) <=> (~patient(X0) & curious(X0))) [input p7]
9. ! [X0] : ((curious(X0) | creative(X0)) => tall(X0)) [input p8]
13. ? [X0] : curious(X0) <=> (~tall(susan) & happy(susan)) [inp... | 0 |
If fred is not patient then someone is creative and vice versa.
If fred is either kind or quiet then someone is not happy and vice versa.
Everyone who is not kind or not brave is brave and vice versa.
Everyone who is funny is humble and vice versa.
If lucy is both humble and not generous then paul is not old.
Everyone ... | Susan is not creative. | neutral | ((~patient(fred))<=>(?[X]:(creative(X))))&
(((kind(fred)<~>quiet(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|~brave(X))<=>brave(X)))&
(![X]:(funny(X)<=>humble(X)))&
(((humble(lucy)&~generous(lucy)))=>(~old(paul)))&
(![X]:((~rich(X)|calm(X))=>(old(X)<~>tall(X))))&
(![X]:(~calm(X)=>(~tall(X)<~>quiet(X))))&
((?[X]:((~... | ~creative(susan) | [] | null | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa. If lucy is not patient then someone is both not patient and not creative and vice versa. If someone is not creative then mary is not kind and vice versa. Everyone who is funny is not funny or wise and vice versa. Everyone who is n... | Susan is not rich. | neutral | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&~creative(X)))))&
((?[X]:(~creative(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(... | ~rich(susan) | [] | null | 0 |
Everyone who is not patient or not curious is both old and calm.
If someone is old or generous then paul is either strong or patient and vice versa.
If susan is both not wise and not brave then alice is quiet or funny.
Everyone who is either not creative or not wise is either strong or rich.
Everyone who is both happy ... | Paul is not brave. | contradiction | (![X]:((~patient(X)|~curious(X))=>(old(X)&calm(X))))&
((?[X]:((old(X)|generous(X))))<=>((strong(paul)<~>patient(paul))))&
(((~wise(susan)&~brave(susan)))=>((quiet(alice)|funny(alice))))&
(![X]:((~creative(X)<~>~wise(X))=>(strong(X)<~>rich(X))))&
(![X]:((happy(X)&~tall(X))<=>(~quiet(X)&~old(X))))&
(![X]:((generous(X)|ol... | ~brave(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5084282621117594986537412
% SZS output start Proof for 5084282621117594986537412
10. ! [X0] : (~rich(X0) <=> (brave(X0) <~> rich(X0))) [input p9]
24. ~brave(paul) [input hypothesis]
56. ! [X0] : ((~rich(X0) | ((brave(X0) | ~rich(X0)) & (rich(X0) | ~brave(X0)))) & (((~rich(X0) | ~brave(X0)... | 0 |
If someone is not humble then lucy is patient or not brave.
If someone is not quiet then someone is both not humble and kind.
If someone is not quiet then lucy is not curious.
Everyone who is both happy and not calm is either calm or old.
Everyone who is both not brave and not happy is both happy and quiet and vice ver... | Lucy is not happy. | entailment | ((?[X]:(~humble(X)))=>((patient(lucy)|~brave(lucy))))&
((?[X]:(~quiet(X)))=>(?[X]:((~humble(X)&kind(X)))))&
((?[X]:(~quiet(X)))=>(~curious(lucy)))&
(![X]:((happy(X)&~calm(X))=>(calm(X)<~>old(X))))&
(![X]:((~brave(X)&~happy(X))<=>(happy(X)&quiet(X))))&
(![X]:((~kind(X)|~humble(X))=>(curious(X)|~generous(X))))&
(![X]:((p... | ~happy(lucy) | [
"p2",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4606728967949655109635112
% SZS output start Proof for 4606728967949655109635112
3. ? [X0] : ~quiet(X0) => ~curious(lucy) [input p2]
5. ! [X0] : ((~happy(X0) & ~brave(X0)) <=> (quiet(X0) & happy(X0))) [input p4]
19. generous(lucy) & curious(lucy) [input p18]
24. happy(lucy) [input hypothe... | 0 |
If paul is both patient and funny then someone is both not wise and humble and vice versa. If susan is both curious and not calm then someone is both not kind and humble and vice versa. Everyone who is brave is both strong and not generous and vice versa. Everyone who is wise or calm is tall or not wise. Everyone who i... | Paul is generous. | neutral | (((patient(paul)&funny(paul)))<=>(?[X]:((~wise(X)&humble(X)))))&
(((curious(susan)&~calm(susan)))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(brave(X)<=>(strong(X)&~generous(X))))&
(![X]:((wise(X)|calm(X))=>(tall(X)|~wise(X))))&
(![X]:(~calm(X)<=>(~happy(X)<~>wise(X))))&
((quiet(susan))=>(?[X]:((~humble(X)|quiet(X)))))&
(... | generous(paul) | [] | null | 0 |
Everyone who is not calm or strong is both kind and old and vice versa.
Everyone who is not old is tall or not generous.
Everyone who is not rich is rich or not creative.
Everyone who is both not wise and funny is not quiet.
If someone is not quiet or brave then someone is not old and vice versa.
If paul is calm or not... | Alice is calm. | entailment | (![X]:((~calm(X)|strong(X))<=>(kind(X)&old(X))))&
(![X]:(~old(X)=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)=>(rich(X)|~creative(X))))&
(![X]:((~wise(X)&funny(X))=>~quiet(X)))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(~old(X))))&
(((calm(paul)|~strong(paul)))=>((~creative(alice)<~>patient(alice))))&
(![X]:((old(X)|~humbl... | calm(alice) | [
"p0",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8584424954590190483180330
% SZS output start Proof for 8584424954590190483180330
1. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (old(X0) & kind(X0))) [input p0]
3. ! [X0] : (~rich(X0) => (~creative(X0) | rich(X0))) [input p2]
7. ! [X0] : ((~humble(X0) | old(X0)) => (~rich(X0) | ~kind(X0))) [in... | 0 |
If someone is both not creative and generous then lucy is not brave or curious and vice versa. Everyone who is both curious and generous is either quiet or not happy. Everyone who is not happy or kind is both not quiet and old. Everyone who is generous is either curious or strong. Everyone who is both not humble and no... | Lucy is not funny. | entailment | ((?[X]:((~creative(X)&generous(X))))<=>((~brave(lucy)|curious(lucy))))&
(![X]:((curious(X)&generous(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((~happy(X)|kind(X))=>(~quiet(X)&old(X))))&
(![X]:(generous(X)=>(curious(X)<~>strong(X))))&
(![X]:((~humble(X)&~curious(X))=>brave(X)))&
(![X]:(funny(X)<=>(~brave(X)&patient(X))))&
(!... | ~funny(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4572087425956880895783603
% SZS output start Proof for 4572087425956880895783603
1. ? [X0] : (generous(X0) & ~creative(X0)) <=> (curious(lucy) | ~brave(lucy)) [input p0]
3. ! [X0] : ((kind(X0) | ~happy(X0)) => (old(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (generous(X0) => (curious(X0) <~... | 0 |
Everyone who is both not brave and not calm is either not quiet or not rich and vice versa. Everyone who is either not happy or quiet is not old. Everyone who is both rich and patient is either kind or patient and vice versa. If someone is curious or creative then someone is either humble or patient. Everyone who is ei... | Fred is quiet. | entailment | (![X]:((~brave(X)&~calm(X))<=>(~quiet(X)<~>~rich(X))))&
(![X]:((~happy(X)<~>quiet(X))=>~old(X)))&
(![X]:((rich(X)&patient(X))<=>(kind(X)<~>patient(X))))&
((?[X]:((curious(X)|creative(X))))=>(?[X]:((humble(X)<~>patient(X)))))&
(![X]:((~creative(X)<~>~patient(X))=>(patient(X)|funny(X))))&
((?[X]:(~old(X)))<=>(?[X]:(patie... | quiet(fred) | [
"p0",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2216781307695662119410815
% SZS output start Proof for 2216781307695662119410815
1. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (~quiet(X0) <~> ~rich(X0))) [input p0]
10. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p9]
14. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> ~ha... | 0 |
Everyone who is both not happy and funny is quiet or rich and vice versa. Everyone who is tall or humble is both not calm and funny. If alice is generous then someone is either quiet or not happy. Everyone who is rich or not generous is either not calm or not strong. If susan is not brave then someone is curious. If fr... | Alice is tall. | neutral | (![X]:((~happy(X)&funny(X))<=>(quiet(X)|rich(X))))&
(![X]:((tall(X)|humble(X))=>(~calm(X)&funny(X))))&
((generous(alice))=>(?[X]:((quiet(X)<~>~happy(X)))))&
(![X]:((rich(X)|~generous(X))=>(~calm(X)<~>~strong(X))))&
((~brave(susan))=>(?[X]:(curious(X))))&
((~rich(fred))<=>(?[X]:((~tall(X)|~happy(X)))))&
((?[X]:((~rich(X... | tall(alice) | [] | null | 0 |
Everyone who is either not brave or not strong is not humble or not brave and vice versa.
If someone is either not rich or old then alice is not rich or not old and vice versa.
Everyone who is both not patient and humble is both not patient and not curious and vice versa.
If fred is kind or quiet then someone is either... | Fred is patient. | neutral | (![X]:((~brave(X)<~>~strong(X))<=>(~humble(X)|~brave(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>((~rich(alice)|~old(alice))))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)&~curious(X))))&
(((kind(fred)|quiet(fred)))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:(~strong(X)))<=>(?[X... | patient(fred) | [] | null | 0 |
If susan is humble or kind then someone is not old or not humble and vice versa.
Everyone who is both old and happy is patient or not rich.
Everyone who is not strong or wise is both not generous and tall and vice versa.
If mary is not curious or not funny then someone is either generous or not funny and vice versa.
Ev... | Lucy is not strong. | contradiction | (((humble(susan)|kind(susan)))<=>(?[X]:((~old(X)|~humble(X)))))&
(![X]:((old(X)&happy(X))=>(patient(X)|~rich(X))))&
(![X]:((~strong(X)|wise(X))<=>(~generous(X)&tall(X))))&
(((~curious(mary)|~funny(mary)))<=>(?[X]:((generous(X)<~>~funny(X)))))&
(![X]:((calm(X)<~>~curious(X))<=>curious(X)))&
(((~old(john)|patient(john)))... | ~strong(lucy) | [
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4485995537812173250151019
% SZS output start Proof for 4485995537812173250151019
3. ! [X0] : ((wise(X0) | ~strong(X0)) <=> (tall(X0) & ~generous(X0))) [input p2]
18. ~tall(lucy) [input p17]
25. ~strong(lucy) [input hypothesis]
40. ! [X0] : (((wise(X0) | ~strong(X0)) | (~tall(X0) | generou... | 0 |
Everyone who is both not funny and not kind is both kind and wise and vice versa.
Everyone who is not strong is not calm and vice versa.
Everyone who is not wise or not old is strong and vice versa.
If lucy is either not curious or not creative then someone is calm or not generous and vice versa.
If susan is either not... | Susan is curious. | contradiction | (![X]:((~funny(X)&~kind(X))<=>(kind(X)&wise(X))))&
(![X]:(~strong(X)<=>~calm(X)))&
(![X]:((~wise(X)|~old(X))<=>strong(X)))&
(((~curious(lucy)<~>~creative(lucy)))<=>(?[X]:((calm(X)|~generous(X)))))&
(((~kind(susan)<~>wise(susan)))<=>(?[X]:((happy(X)&~tall(X)))))&
(((~generous(lucy)&~calm(lucy)))=>(?[X]:(strong(X))))&
(!... | curious(susan) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4680632793602491051201001
% SZS output start Proof for 4680632793602491051201001
1. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (wise(X0) & kind(X0))) [input p0]
2. ! [X0] : (~strong(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((~old(X0) | ~wise(X0)) <=> strong(X0)) [input p2]
5. (~kind(susan) <... | 0 |
Everyone who is both not brave and not humble is quiet or not tall and vice versa. Everyone who is either not brave or patient is both old and kind and vice versa. Everyone who is not curious is not quiet. Everyone who is not brave or not humble is either patient or not humble and vice versa. Everyone who is happy or n... | John is happy. | neutral | (![X]:((~brave(X)&~humble(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)&kind(X))))&
(![X]:(~curious(X)=>~quiet(X)))&
(![X]:((~brave(X)|~humble(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((happy(X)|~calm(X))<=>(~wise(X)<~>~old(X))))&
(![X]:((~wise(X)|humble(X))=>happy(X)))&
(![X]:((strong(X)|~gene... | happy(john) | [] | null | 0 |
Everyone who is not patient is both wise and not tall and vice versa.
Everyone who is brave is wise or calm.
If paul is not creative or calm then someone is not strong and vice versa.
If someone is both tall and not creative then someone is both not curious and wise and vice versa.
If someone is both not kind and not w... | Fred is curious. | neutral | (![X]:(~patient(X)<=>(wise(X)&~tall(X))))&
(![X]:(brave(X)=>(wise(X)|calm(X))))&
(((~creative(paul)|calm(paul)))<=>(?[X]:(~strong(X))))&
((?[X]:((tall(X)&~creative(X))))<=>(?[X]:((~curious(X)&wise(X)))))&
((?[X]:((~kind(X)&~wise(X))))<=>((~tall(mary)<~>kind(mary))))&
(![X]:((~patient(X)&kind(X))<=>curious(X)))&
(((~hum... | curious(fred) | [] | null | 0 |
Everyone who is either curious or happy is not old or wise.
If paul is tall then someone is either not generous or not curious.
Everyone who is curious is both not old and not curious.
If someone is both not funny and not happy then susan is not happy or kind and vice versa.
Everyone who is not brave is either not stro... | Susan is not humble. | entailment | (![X]:((curious(X)<~>happy(X))=>(~old(X)|wise(X))))&
((tall(paul))=>(?[X]:((~generous(X)<~>~curious(X)))))&
(![X]:(curious(X)=>(~old(X)&~curious(X))))&
((?[X]:((~funny(X)&~happy(X))))<=>((~happy(susan)|kind(susan))))&
(![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)... | ~humble(susan) | [
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5992399839866691201481773
% SZS output start Proof for 5992399839866691201481773
3. ! [X0] : (curious(X0) => (~curious(X0) & ~old(X0))) [input p2]
10. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p9]
12. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~generous(X0) | kind(X0))... | 0 |
If john is both not quiet and not generous then alice is kind or not curious and vice versa.
If john is both not strong and not rich then susan is funny or not patient and vice versa.
Everyone who is humble or happy is funny or happy.
Everyone who is either quiet or calm is tall or not quiet and vice versa.
If alice is... | Fred is not funny. | entailment | (((~quiet(john)&~generous(john)))<=>((kind(alice)|~curious(alice))))&
(((~strong(john)&~rich(john)))<=>((funny(susan)|~patient(susan))))&
(![X]:((humble(X)|happy(X))=>(funny(X)|happy(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(alice)<~>curious(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
((tall... | ~funny(fred) | [
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 595267151426621023922066
% SZS output start Proof for 595267151426621023922066
6. tall(fred) => (strong(fred) & brave(fred)) [input p5]
7. ! [X0] : ((~tall(X0) | wise(X0)) <=> kind(X0)) [input p6]
8. ! [X0] : (rich(X0) <=> (strong(X0) <~> old(X0))) [input p7]
9. ! [X0] : ((generous(X0) | ... | 0 |
Everyone who is either not curious or kind is either not patient or creative. If someone is not rich or humble then alice is funny or brave and vice versa. If fred is either not calm or happy then someone is both not tall and funny and vice versa. If fred is either tall or not strong then someone is not funny or not br... | Fred is not tall. | neutral | (![X]:((~curious(X)<~>kind(X))=>(~patient(X)<~>creative(X))))&
((?[X]:((~rich(X)|humble(X))))<=>((funny(alice)|brave(alice))))&
(((~calm(fred)<~>happy(fred)))<=>(?[X]:((~tall(X)&funny(X)))))&
(((tall(fred)<~>~strong(fred)))<=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X... | ~tall(fred) | [] | null | 0 |
If someone is either tall or old then someone is both not curious and rich and vice versa. Everyone who is either brave or not brave is either generous or not humble. If someone is both funny and happy then someone is either quiet or not kind. Everyone who is happy or not wise is either tall or old and vice versa. If s... | Mary is funny. | contradiction | ((?[X]:((tall(X)<~>old(X))))<=>(?[X]:((~curious(X)&rich(X)))))&
(![X]:((brave(X)<~>~brave(X))=>(generous(X)<~>~humble(X))))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((quiet(X)<~>~kind(X)))))&
(![X]:((happy(X)|~wise(X))<=>(tall(X)<~>old(X))))&
((?[X]:(brave(X)))=>(?[X]:((~strong(X)&rich(X)))))&
(((old(mary)<~>~curious(mary... | funny(mary) | [
"p3",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 148023726927327816426209
% SZS output start Proof for 148023726927327816426209
4. ! [X0] : ((~wise(X0) | happy(X0)) <=> (tall(X0) <~> old(X0))) [input p3]
7. ! [X0] : ((wise(X0) | patient(X0)) <=> ~tall(X0)) [input p6]
9. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (wise(X0) & ~wise(X0))) [inp... | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Susan is curious. | entailment | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | curious(susan) | [
"p0",
"p1",
"p2",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2995143847864351509884111
% SZS output start Proof for 2995143847864351509884111
1. ! [X0] : ((funny(X0) & ~tall(X0)) => (~curious(X0) <~> generous(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~generous(X0)) => creative(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0)))... | 0 |
Everyone who is curious is both not strong and not generous and vice versa. Everyone who is generous or patient is not tall. If mary is wise or not humble then fred is not curious or not calm. Everyone who is either not brave or not funny is not wise or not tall and vice versa. Everyone who is not tall or humble is str... | Fred is kind. | neutral | (![X]:(curious(X)<=>(~strong(X)&~generous(X))))&
(![X]:((generous(X)|patient(X))=>~tall(X)))&
(((wise(mary)|~humble(mary)))=>((~curious(fred)|~calm(fred))))&
(![X]:((~brave(X)<~>~funny(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~tall(X)|humble(X))=>(strong(X)|~patient(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(~brave(X)|~h... | kind(fred) | [] | null | 0 |
If fred is not strong then john is both calm and patient and vice versa. If lucy is quiet then john is both not kind and curious. Everyone who is quiet or happy is not strong. If lucy is either not funny or creative then someone is brave or quiet. If mary is either not happy or brave then john is both not humble and no... | Susan is funny. | entailment | ((~strong(fred))<=>((calm(john)&patient(john))))&
((quiet(lucy))=>((~kind(john)&curious(john))))&
(![X]:((quiet(X)|happy(X))=>~strong(X)))&
(((~funny(lucy)<~>creative(lucy)))=>(?[X]:((brave(X)|quiet(X)))))&
(((~happy(mary)<~>brave(mary)))<=>((~humble(john)&~brave(john))))&
(![X]:((kind(X)&~quiet(X))=>(quiet(X)|humble(X... | funny(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9097312360585662818423987
% SZS output start Proof for 9097312360585662818423987
14. ! [X0] : ((funny(X0) & ~calm(X0)) <=> (creative(X0) | ~creative(X0))) [input p13]
25. ~funny(susan) [input hypothesis]
51. ! [X0] : (((funny(X0) & ~calm(X0)) | (~creative(X0) & creative(X0))) & ((creative... | 0 |
If john is either not happy or not kind then alice is patient and vice versa. If someone is kind or brave then lucy is strong and vice versa. Everyone who is both not quiet and curious is not funny or quiet. Everyone who is wise or not wise is quiet. Everyone who is either creative or not generous is patient or not ric... | Fred is quiet. | entailment | (((~happy(john)<~>~kind(john)))<=>(patient(alice)))&
((?[X]:((kind(X)|brave(X))))<=>(strong(lucy)))&
(![X]:((~quiet(X)&curious(X))=>(~funny(X)|quiet(X))))&
(![X]:((wise(X)|~wise(X))=>quiet(X)))&
(![X]:((creative(X)<~>~generous(X))<=>(patient(X)|~rich(X))))&
(![X]:((~creative(X)|creative(X))=>~humble(X)))&
(![X]:((creat... | quiet(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2153101431583474062368964
% SZS output start Proof for 2153101431583474062368964
4. ! [X0] : ((~wise(X0) | wise(X0)) => quiet(X0)) [input p3]
22. ~quiet(fred) [input hypothesis]
33. ! [X0] : (quiet(X0) | (wise(X0) & ~wise(X0))) [ennf transformation 4]
81. quiet(X0) | ~wise(X0) [cnf transf... | 0 |
Everyone who is not old or happy is not generous or old.
Everyone who is either funny or strong is happy.
Everyone who is strong is either quiet or wise.
Everyone who is either not wise or calm is both kind and brave and vice versa.
Everyone who is kind or not creative is both kind and not wise.
Everyone who is creativ... | Mary is strong. | contradiction | (![X]:((~old(X)|happy(X))=>(~generous(X)|old(X))))&
(![X]:((funny(X)<~>strong(X))=>happy(X)))&
(![X]:(strong(X)=>(quiet(X)<~>wise(X))))&
(![X]:((~wise(X)<~>calm(X))<=>(kind(X)&brave(X))))&
(![X]:((kind(X)|~creative(X))=>(kind(X)&~wise(X))))&
(![X]:((creative(X)|~happy(X))<=>(patient(X)&curious(X))))&
(![X]:((~tall(X)<~... | strong(mary) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5032394957246342738492604
% SZS output start Proof for 5032394957246342738492604
3. ! [X0] : (strong(X0) => (quiet(X0) <~> wise(X0))) [input p2]
5. ! [X0] : ((~creative(X0) | kind(X0)) => (~wise(X0) & kind(X0))) [input p4]
6. ! [X0] : ((~happy(X0) | creative(X0)) <=> (curious(X0) & patien... | 0 |
Everyone who is not funny or not tall is either not strong or not patient and vice versa.
Everyone who is curious is both not old and not tall.
Everyone who is not wise is either not brave or not rich and vice versa.
Everyone who is not rich or not quiet is wise or old and vice versa.
Everyone who is either brave or ca... | Paul is old. | neutral | (![X]:((~funny(X)|~tall(X))<=>(~strong(X)<~>~patient(X))))&
(![X]:(curious(X)=>(~old(X)&~tall(X))))&
(![X]:(~wise(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(wise(X)|old(X))))&
(![X]:((brave(X)<~>calm(X))<=>(humble(X)<~>creative(X))))&
(((funny(mary)&patient(mary)))=>(~kind(paul)))&
((happy(fred))<=>(... | old(paul) | [] | null | 0 |
If someone is not happy or patient then lucy is both quiet and not old and vice versa.
Everyone who is either wise or not creative is either quiet or humble and vice versa.
Everyone who is not strong is not happy and vice versa.
If someone is either strong or not kind then someone is either not wise or quiet and vice v... | Lucy is rich. | entailment | ((?[X]:((~happy(X)|patient(X))))<=>((quiet(lucy)&~old(lucy))))&
(![X]:((wise(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
(![X]:(~strong(X)<=>~happy(X)))&
((?[X]:((strong(X)<~>~kind(X))))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~kind(X)<~>wise(X))=>wise(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~wise(X)&~creative(X)))))&
... | rich(lucy) | [
"p0",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1487247146492747216764634
% SZS output start Proof for 1487247146492747216764634
1. ? [X0] : (patient(X0) | ~happy(X0)) <=> (~old(lucy) & quiet(lucy)) [input p0]
13. ? [X0] : generous(X0) => ? [X0] : (patient(X0) & wise(X0)) [input p12]
16. ! [X0] : ((~patient(X0) | ~old(X0)) <=> (~quiet(... | 0 |
If someone is not happy then someone is humble and vice versa. Everyone who is not happy or humble is both funny and not rich and vice versa. If someone is either strong or not funny then someone is tall or not brave. Everyone who is either wise or humble is either rich or not creative. Everyone who is patient or kind ... | John is not tall. | entailment | ((?[X]:(~happy(X)))<=>(?[X]:(humble(X))))&
(![X]:((~happy(X)|humble(X))<=>(funny(X)&~rich(X))))&
((?[X]:((strong(X)<~>~funny(X))))=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((wise(X)<~>humble(X))=>(rich(X)<~>~creative(X))))&
(![X]:((patient(X)|kind(X))<=>(~funny(X)|old(X))))&
(![X]:((~happy(X)<~>happy(X))=>(generous(X)<~>t... | ~tall(john) | [
"p1",
"p5",
"p8",
"p10",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3494302525335158263289516
% SZS output start Proof for 3494302525335158263289516
2. ! [X0] : ((humble(X0) | ~happy(X0)) <=> (~rich(X0) & funny(X0))) [input p1]
6. ! [X0] : ((~happy(X0) <~> happy(X0)) => (generous(X0) <~> tall(X0))) [input p5]
9. ? [X0] : (brave(X0) & ~calm(X0)) <=> ? [X0]... | 0 |
If susan is not wise or not happy then paul is not calm and vice versa.
Everyone who is both wise and not generous is both quiet and kind and vice versa.
Everyone who is generous is strong.
Everyone who is either rich or not generous is either not happy or not generous and vice versa.
Everyone who is not patient or not... | Susan is not tall. | entailment | (((~wise(susan)|~happy(susan)))<=>(~calm(paul)))&
(![X]:((wise(X)&~generous(X))<=>(quiet(X)&kind(X))))&
(![X]:(generous(X)=>strong(X)))&
(![X]:((rich(X)<~>~generous(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((~patient(X)|~funny(X))=>(~old(X)|~creative(X))))&
((?[X]:((~kind(X)&~humble(X))))=>(?[X]:(rich(X))))&
(![X]:((~... | ~tall(susan) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 942527099650077486215626
% SZS output start Proof for 942527099650077486215626
7. ! [X0] : ((~quiet(X0) | ~rich(X0)) => (rich(X0) & ~tall(X0))) [input p6]
10. ! [X0] : ((rich(X0) | creative(X0)) <=> ~quiet(X0)) [input p9]
25. tall(susan) [input hypothesis]
34. ! [X0] : ((rich(X0) & ~tall(... | 0 |
Everyone who is both not generous and old is either not curious or creative.
Everyone who is both generous and not rich is not generous or humble and vice versa.
Everyone who is both quiet and tall is not patient or funny and vice versa.
Everyone who is not kind is both not generous and not kind.
Everyone who is both s... | Paul is not happy. | neutral | (![X]:((~generous(X)&old(X))=>(~curious(X)<~>creative(X))))&
(![X]:((generous(X)&~rich(X))<=>(~generous(X)|humble(X))))&
(![X]:((quiet(X)&tall(X))<=>(~patient(X)|funny(X))))&
(![X]:(~kind(X)=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)&brave(X))<=>(~old(X)|~wise(X))))&
((?[X]:((~funny(X)&generous(X))))=>(brave(john)))... | ~happy(paul) | [] | null | 0 |
Everyone who is calm or not curious is tall and vice versa.
If someone is both brave and not patient then fred is either patient or not quiet and vice versa.
Everyone who is not calm or not kind is both strong and not curious and vice versa.
Everyone who is either not rich or quiet is not generous or rich and vice vers... | John is not generous. | neutral | (![X]:((calm(X)|~curious(X))<=>tall(X)))&
((?[X]:((brave(X)&~patient(X))))<=>((patient(fred)<~>~quiet(fred))))&
(![X]:((~calm(X)|~kind(X))<=>(strong(X)&~curious(X))))&
(![X]:((~rich(X)<~>quiet(X))<=>(~generous(X)|rich(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~kind(X)|~old(X))))&
(![X]:(curious(X)<=>~quiet(X)))&
(![X]:((~... | ~generous(john) | [] | null | 0 |
Everyone who is curious is not kind and vice versa.
If someone is not strong then someone is either not kind or not strong and vice versa.
If someone is either not strong or not rich then someone is both not strong and wise and vice versa.
Everyone who is both not kind and old is not tall or not generous.
If susan is n... | Lucy is not kind. | contradiction | (![X]:(curious(X)<=>~kind(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((~kind(X)<~>~strong(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))<=>(?[X]:((~strong(X)&wise(X)))))&
(![X]:((~kind(X)&old(X))=>(~tall(X)|~generous(X))))&
((~tall(susan))=>(?[X]:((creative(X)<~>old(X)))))&
((?[X]:((~tall(X)|~kind(X))))<=>(?[X]:((brave(X)&humble(X)... | ~kind(lucy) | [
"p7",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7068988629448835452536506
% SZS output start Proof for 7068988629448835452536506
8. ! [X0] : ((~funny(X0) | ~creative(X0)) <=> patient(X0)) [input p7]
9. ! [X0] : (patient(X0) => (~patient(X0) <~> funny(X0))) [input p8]
15. ! [X0] : ((funny(X0) <~> kind(X0)) => (creative(X0) & happy(X0)))... | 0 |
Everyone who is both not tall and not curious is both not calm and kind and vice versa.
If mary is generous or not generous then someone is kind or old and vice versa.
Everyone who is not calm or not kind is either not patient or happy and vice versa.
Everyone who is either not curious or wise is both not old and quiet... | Paul is creative. | contradiction | (![X]:((~tall(X)&~curious(X))<=>(~calm(X)&kind(X))))&
(((generous(mary)|~generous(mary)))<=>(?[X]:((kind(X)|old(X)))))&
(![X]:((~calm(X)|~kind(X))<=>(~patient(X)<~>happy(X))))&
(![X]:((~curious(X)<~>wise(X))<=>(~old(X)&quiet(X))))&
((~tall(alice))<=>(?[X]:((old(X)&~strong(X)))))&
(![X]:((~patient(X)&generous(X))<=>(old... | creative(paul) | [
"p6",
"p10",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2546494142294931353137964
% SZS output start Proof for 2546494142294931353137964
7. ? [X0] : (quiet(X0) | ~brave(X0)) => ? [X0] : (tall(X0) & curious(X0)) [input p6]
11. ? [X0] : (~happy(X0) & tall(X0)) <=> ~creative(paul) [input p10]
14. ? [X0] : funny(X0) => ? [X0] : (~creative(X0) & cu... | 0 |
If someone is either not kind or creative then fred is either not curious or old and vice versa. If someone is either not kind or not rich then someone is not brave or not generous. Everyone who is both creative and not rich is both not patient and quiet and vice versa. Everyone who is not happy or not rich is not humb... | Mary is patient. | entailment | ((?[X]:((~kind(X)<~>creative(X))))<=>((~curious(fred)<~>old(fred))))&
((?[X]:((~kind(X)<~>~rich(X))))=>(?[X]:((~brave(X)|~generous(X)))))&
(![X]:((creative(X)&~rich(X))<=>(~patient(X)&quiet(X))))&
(![X]:((~happy(X)|~rich(X))<=>~humble(X)))&
(![X]:((~funny(X)|~quiet(X))=>(creative(X)<~>~tall(X))))&
(![X]:(tall(X)<=>old(... | patient(mary) | [
"p2",
"p4",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9092259907708443032401219
% SZS output start Proof for 9092259907708443032401219
3. ! [X0] : ((~rich(X0) & creative(X0)) <=> (quiet(X0) & ~patient(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) | ~funny(X0)) => (creative(X0) <~> ~tall(X0))) [input p4]
7. ! [X0] : (~patient(X0) <=> quiet(X0)) [... | 0 |
Everyone who is both wise and strong is generous or happy and vice versa.
Everyone who is either calm or creative is humble or not creative.
If alice is wise or happy then someone is both not quiet and not kind and vice versa.
Everyone who is not tall is not kind and vice versa.
If john is strong or not strong then luc... | Susan is not patient. | neutral | (![X]:((wise(X)&strong(X))<=>(generous(X)|happy(X))))&
(![X]:((calm(X)<~>creative(X))=>(humble(X)|~creative(X))))&
(((wise(alice)|happy(alice)))<=>(?[X]:((~quiet(X)&~kind(X)))))&
(![X]:(~tall(X)<=>~kind(X)))&
(((strong(john)|~strong(john)))=>((~calm(lucy)<~>~curious(lucy))))&
((?[X]:(wise(X)))<=>((brave(john)&~curious(... | ~patient(susan) | [] | null | 0 |
Everyone who is both generous and kind is both tall and rich.
If someone is either humble or not kind then someone is humble or not wise and vice versa.
Everyone who is not happy is either not brave or patient and vice versa.
If someone is not happy or strong then fred is wise or not generous.
If someone is either brav... | Fred is not patient. | entailment | (![X]:((generous(X)&kind(X))=>(tall(X)&rich(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:(~happy(X)<=>(~brave(X)<~>patient(X))))&
((?[X]:((~happy(X)|strong(X))))=>((wise(fred)|~generous(fred))))&
((?[X]:((brave(X)<~>happy(X))))=>((~quiet(john)&quiet(john))))&
(![X]:(generous(X)<=>(hap... | ~patient(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8995210413258310169120404
% SZS output start Proof for 8995210413258310169120404
3. ! [X0] : (~happy(X0) <=> (~brave(X0) <~> patient(X0))) [input p2]
5. ? [X0] : (brave(X0) <~> happy(X0)) => (quiet(john) & ~quiet(john)) [input p4]
25. patient(fred) [input hypothesis]
33. (quiet(john) & ~q... | 0 |
If alice is humble or creative then mary is either kind or generous and vice versa. Everyone who is not wise is brave and vice versa. Everyone who is generous is both not old and wise. Everyone who is not tall or rich is either not happy or not generous. If paul is not curious then someone is either not humble or creat... | Lucy is not old. | entailment | (((humble(alice)|creative(alice)))<=>((kind(mary)<~>generous(mary))))&
(![X]:(~wise(X)<=>brave(X)))&
(![X]:(generous(X)=>(~old(X)&wise(X))))&
(![X]:((~tall(X)|rich(X))=>(~happy(X)<~>~generous(X))))&
((~curious(paul))<=>(?[X]:((~humble(X)<~>creative(X)))))&
(((~curious(alice)|~happy(alice)))<=>(?[X]:((strong(X)|~strong(... | ~old(lucy) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2196519606017192743439534
% SZS output start Proof for 2196519606017192743439534
3. ! [X0] : (generous(X0) => (wise(X0) & ~old(X0))) [input p2]
10. ! [X0] : ((~old(X0) & ~humble(X0)) <=> ~generous(X0)) [input p9]
25. old(lucy) [input hypothesis]
26. ! [X0] : ((wise(X0) & ~old(X0)) | ~gene... | 0 |
Everyone who is either not happy or not kind is either generous or not creative.
If alice is brave then fred is either not wise or quiet.
Everyone who is creative or not curious is either calm or humble.
If someone is not curious or not patient then fred is not generous.
Everyone who is strong is both wise and old.
Eve... | Alice is quiet. | entailment | (![X]:((~happy(X)<~>~kind(X))=>(generous(X)<~>~creative(X))))&
((brave(alice))=>((~wise(fred)<~>quiet(fred))))&
(![X]:((creative(X)|~curious(X))=>(calm(X)<~>humble(X))))&
((?[X]:((~curious(X)|~patient(X))))=>(~generous(fred)))&
(![X]:(strong(X)=>(wise(X)&old(X))))&
(![X]:((kind(X)&old(X))=>(~old(X)<~>calm(X))))&
((~cal... | quiet(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4439910341827834239302827
% SZS output start Proof for 4439910341827834239302827
16. ! [X0] : ((~quiet(X0) | patient(X0)) => (quiet(X0) & ~tall(X0))) [input p15]
25. ~quiet(alice) [input hypothesis]
29. ! [X0] : ((~quiet(X0) | patient(X0)) => quiet(X0)) [pure predicate removal 16]
44. ! [... | 0 |
If someone is not quiet or patient then lucy is happy and vice versa.
If lucy is funny then lucy is either not funny or tall.
If john is not patient or humble then someone is not humble.
If alice is both generous and not wise then lucy is not quiet and vice versa.
Everyone who is not tall is not calm and vice versa.
If... | Mary is not strong. | entailment | ((?[X]:((~quiet(X)|patient(X))))<=>(happy(lucy)))&
((funny(lucy))=>((~funny(lucy)<~>tall(lucy))))&
(((~patient(john)|humble(john)))=>(?[X]:(~humble(X))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((rich(... | ~strong(mary) | [
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1562994461145734847163540
% SZS output start Proof for 1562994461145734847163540
6. (~patient(paul) & ~humble(paul)) <=> ? [X0] : (~quiet(X0) | strong(X0)) [input p5]
7. ! [X0] : ((rich(X0) <~> ~funny(X0)) <=> (calm(X0) & ~calm(X0))) [input p6]
12. ! [X0] : (patient(X0) <=> (curious(X0) |... | 0 |
If paul is either not old or not generous then paul is both not kind and kind.
If someone is creative then susan is old and vice versa.
Everyone who is both not happy and kind is either not tall or quiet and vice versa.
Everyone who is not curious or generous is happy.
Everyone who is not happy or generous is quiet and... | Paul is generous. | neutral | (((~old(paul)<~>~generous(paul)))=>((~kind(paul)&kind(paul))))&
((?[X]:(creative(X)))<=>(old(susan)))&
(![X]:((~happy(X)&kind(X))<=>(~tall(X)<~>quiet(X))))&
(![X]:((~curious(X)|generous(X))=>happy(X)))&
(![X]:((~happy(X)|generous(X))<=>quiet(X)))&
((?[X]:((quiet(X)<~>funny(X))))<=>(?[X]:((humble(X)|~funny(X)))))&
(![X]... | generous(paul) | [] | null | 0 |
Everyone who is both rich and not old is creative and vice versa.
Everyone who is both not curious and brave is either curious or tall and vice versa.
Everyone who is not kind or not brave is either not rich or curious and vice versa.
Everyone who is happy is tall or rich and vice versa.
If someone is either not kind o... | Susan is not creative. | entailment | (![X]:((rich(X)&~old(X))<=>creative(X)))&
(![X]:((~curious(X)&brave(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~kind(X)|~brave(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(happy(X)<=>(tall(X)|rich(X))))&
((?[X]:((~kind(X)<~>~patient(X))))=>((~funny(paul)<~>brave(paul))))&
(![X]:((~humble(X)&~brave(X))<=>~rich(X)))&
(![X]:((hum... | ~creative(susan) | [
"p0",
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 657188117890238801423925
% SZS output start Proof for 657188117890238801423925
1. ! [X0] : ((~old(X0) & rich(X0)) <=> creative(X0)) [input p0]
6. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> ~rich(X0)) [input p5]
7. ! [X0] : ((~funny(X0) | humble(X0)) <=> (strong(X0) & quiet(X0))) [input p6]
... | 0 |
If someone is either not generous or not patient then someone is either not calm or calm.
If paul is not wise then someone is either tall or funny and vice versa.
If susan is not quiet then fred is either not brave or not calm.
Everyone who is calm or rich is humble and vice versa.
Everyone who is not brave or calm is ... | Fred is generous. | neutral | ((?[X]:((~generous(X)<~>~patient(X))))=>(?[X]:((~calm(X)<~>calm(X)))))&
((~wise(paul))<=>(?[X]:((tall(X)<~>funny(X)))))&
((~quiet(susan))=>((~brave(fred)<~>~calm(fred))))&
(![X]:((calm(X)|rich(X))<=>humble(X)))&
(![X]:((~brave(X)|calm(X))=>(~happy(X)&funny(X))))&
(![X]:((~generous(X)&funny(X))<=>(happy(X)|brave(X))))&
... | generous(fred) | [] | null | 0 |
Everyone who is patient or not funny is humble or patient.
Everyone who is not patient or old is either not patient or not funny and vice versa.
Everyone who is both curious and kind is both not rich and strong and vice versa.
Everyone who is either old or happy is not generous or old and vice versa.
Everyone who is no... | Mary is funny. | neutral | (![X]:((patient(X)|~funny(X))=>(humble(X)|patient(X))))&
(![X]:((~patient(X)|old(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((curious(X)&kind(X))<=>(~rich(X)&strong(X))))&
(![X]:((old(X)<~>happy(X))<=>(~generous(X)|old(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(~quiet(X)&quiet(X))))&
(![X]:((happy(X)&~brave(X))=>~patient(X)... | funny(mary) | [] | null | 0 |
Everyone who is not patient or not rich is both not brave and not calm and vice versa.
If alice is brave or not brave then someone is both happy and kind.
If john is both calm and not curious then someone is not calm or not creative and vice versa.
Everyone who is both wise and patient is either not wise or not tall an... | John is not kind. | neutral | (![X]:((~patient(X)|~rich(X))<=>(~brave(X)&~calm(X))))&
(((brave(alice)|~brave(alice)))=>(?[X]:((happy(X)&kind(X)))))&
(((calm(john)&~curious(john)))<=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((wise(X)&patient(X))<=>(~wise(X)<~>~tall(X))))&
(![X]:((~humble(X)|generous(X))=>(~funny(X)&funny(X))))&
(![X]:(~humble(X)=>(k... | ~kind(john) | [] | null | 0 |
If someone is kind then someone is either not patient or generous and vice versa.
If someone is either not creative or not rich then someone is happy and vice versa.
If alice is not strong then someone is either not generous or calm and vice versa.
If someone is either not wise or not patient then someone is not calm a... | John is not patient. | contradiction | ((?[X]:(kind(X)))<=>(?[X]:((~patient(X)<~>generous(X)))))&
((?[X]:((~creative(X)<~>~rich(X))))<=>(?[X]:(happy(X))))&
((~strong(alice))<=>(?[X]:((~generous(X)<~>calm(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((creative(X)<~>humble(X))))=>((kind(mary)&funny(mary))))&
(![X]:((brave(X)|~patien... | ~patient(john) | [
"p4",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5393686198537016534299765
% SZS output start Proof for 5393686198537016534299765
5. ? [X0] : (creative(X0) <~> humble(X0)) => (funny(mary) & kind(mary)) [input p4]
6. ! [X0] : ((~patient(X0) | brave(X0)) => (~humble(X0) & ~strong(X0))) [input p5]
7. ! [X0] : (~creative(X0) => (humble(X0) ... | 0 |
If someone is humble then mary is not humble. Everyone who is not creative is either kind or not wise. Everyone who is not wise or not quiet is strong. If someone is not curious or humble then mary is strong and vice versa. Everyone who is generous or strong is not kind and vice versa. If someone is generous then paul ... | Fred is not rich. | contradiction | ((?[X]:(humble(X)))=>(~humble(mary)))&
(![X]:(~creative(X)=>(kind(X)<~>~wise(X))))&
(![X]:((~wise(X)|~quiet(X))=>strong(X)))&
((?[X]:((~curious(X)|humble(X))))<=>(strong(mary)))&
(![X]:((generous(X)|strong(X))<=>~kind(X)))&
((?[X]:(generous(X)))<=>((~funny(paul)<~>calm(paul))))&
(![X]:((old(X)<~>~happy(X))<=>(creative(... | ~rich(fred) | [
"p2",
"p4",
"p6",
"p8",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 121591284536257927413982
% SZS output start Proof for 121591284536257927413982
3. ! [X0] : ((~quiet(X0) | ~wise(X0)) => strong(X0)) [input p2]
5. ! [X0] : ((strong(X0) | generous(X0)) <=> ~kind(X0)) [input p4]
7. ! [X0] : ((old(X0) <~> ~happy(X0)) <=> (~kind(X0) | creative(X0))) [input p6... | 0 |
Everyone who is not generous or not wise is not humble.
Everyone who is both brave and kind is not creative and vice versa.
If john is both old and curious then someone is not humble or not curious.
If someone is not creative or not happy then alice is both not strong and not brave.
If someone is both not old and not c... | John is kind. | entailment | (![X]:((~generous(X)|~wise(X))=>~humble(X)))&
(![X]:((brave(X)&kind(X))<=>~creative(X)))&
(((old(john)&curious(john)))=>(?[X]:((~humble(X)|~curious(X)))))&
((?[X]:((~creative(X)|~happy(X))))=>((~strong(alice)&~brave(alice))))&
((?[X]:((~old(X)&~creative(X))))<=>((~wise(susan)&creative(susan))))&
(![X]:((~kind(X)&~humbl... | kind(john) | [
"p1",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6371516182564787265241014
% SZS output start Proof for 6371516182564787265241014
2. ! [X0] : ((kind(X0) & brave(X0)) <=> ~creative(X0)) [input p1]
11. ! [X0] : ((curious(X0) | creative(X0)) => happy(X0)) [input p10]
20. ~happy(john) & ~strong(john) [input p19]
23. ~kind(john) [input hypot... | 0 |
If someone is not brave then susan is either not tall or not quiet.
Everyone who is not brave or not patient is not generous.
Everyone who is not brave is funny or not wise.
If john is not funny then someone is curious or not brave and vice versa.
Everyone who is both kind and not wise is brave or tall and vice versa.
... | Mary is quiet. | neutral | ((?[X]:(~brave(X)))=>((~tall(susan)<~>~quiet(susan))))&
(![X]:((~brave(X)|~patient(X))=>~generous(X)))&
(![X]:(~brave(X)=>(funny(X)|~wise(X))))&
((~funny(john))<=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:((kind(X)&~wise(X))<=>(brave(X)|tall(X))))&
(![X]:((old(X)&~old(X))<=>(~quiet(X)<~>~generous(X))))&
(![X]:((happy(X)&... | quiet(mary) | [] | null | 0 |
Everyone who is either not patient or not humble is not happy and vice versa.
Everyone who is not funny is tall or not rich and vice versa.
Everyone who is both kind and not old is tall.
If lucy is both tall and not kind then someone is either calm or not wise and vice versa.
If john is both not kind and not curious th... | Mary is not old. | contradiction | (![X]:((~patient(X)<~>~humble(X))<=>~happy(X)))&
(![X]:(~funny(X)<=>(tall(X)|~rich(X))))&
(![X]:((kind(X)&~old(X))=>tall(X)))&
(((tall(lucy)&~kind(lucy)))<=>(?[X]:((calm(X)<~>~wise(X)))))&
(((~kind(john)&~curious(john)))=>((~curious(john)|~rich(john))))&
(![X]:((creative(X)|~creative(X))<=>(rich(X)|~generous(X))))&
(![... | ~old(mary) | [
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2093883586857991823968672
% SZS output start Proof for 2093883586857991823968672
9. ! [X0] : ((happy(X0) | funny(X0)) <=> old(X0)) [input p8]
15. ! [X0] : (generous(X0) => (patient(X0) & happy(X0))) [input p14]
22. generous(mary) [input p21]
23. ~old(mary) [input hypothesis]
32. ! [X0] : ... | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Paul is not kind. | entailment | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | ~kind(paul) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2475146719670452227931663
% SZS output start Proof for 2475146719670452227931663
5. ? [X0] : (kind(X0) | ~generous(X0)) <=> (~brave(paul) <~> ~generous(paul)) [input p4]
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
8. ! [X0] : ((wise(X0) & ~happy(X0)) <=> old(X0)) [in... | 0 |
Everyone who is either not strong or humble is either tall or kind.
Everyone who is both calm and not happy is not humble.
If someone is both funny and not curious then someone is not old or creative and vice versa.
Everyone who is both not creative and tall is calm and vice versa.
If susan is either wise or not happy ... | Susan is not humble. | contradiction | (![X]:((~strong(X)<~>humble(X))=>(tall(X)<~>kind(X))))&
(![X]:((calm(X)&~happy(X))=>~humble(X)))&
((?[X]:((funny(X)&~curious(X))))<=>(?[X]:((~old(X)|creative(X)))))&
(![X]:((~creative(X)&tall(X))<=>calm(X)))&
(((wise(susan)<~>~happy(susan)))<=>((funny(alice)|kind(alice))))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((quiet... | ~humble(susan) | [
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7152922081442074823596768
% SZS output start Proof for 7152922081442074823596768
7. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~strong(X0) | brave(X0))) [input p6]
8. ! [X0] : (humble(X0) <=> calm(X0)) [input p7]
13. ! [X0] : ((~curious(X0) | strong(X0)) => ~strong(X0)) [input p12]
22. ~humble... | 0 |
If alice is either not happy or tall then someone is both not funny and not wise and vice versa. Everyone who is not strong is kind. Everyone who is not strong or brave is not humble. If susan is not wise then susan is not tall or not calm and vice versa. Everyone who is not patient or not happy is both rich and not wi... | Paul is kind. | entailment | (((~happy(alice)<~>tall(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((~strong(X)|brave(X))=>~humble(X)))&
((~wise(susan))<=>((~tall(susan)|~calm(susan))))&
(![X]:((~patient(X)|~happy(X))<=>(rich(X)&~wise(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~strong(X)<~>creative(X)))))&
(((generous(... | kind(paul) | [
"p4",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2884567367187762284915801
% SZS output start Proof for 2884567367187762284915801
5. ! [X0] : ((~happy(X0) | ~patient(X0)) <=> (~wise(X0) & rich(X0))) [input p4]
9. ! [X0] : ((~humble(X0) | ~rich(X0)) <=> (generous(X0) <~> ~wise(X0))) [input p8]
11. ? [X0] : (generous(X0) | patient(X0)) =>... | 0 |
If someone is not humble or humble then john is both funny and calm.
Everyone who is humble is tall or not humble and vice versa.
Everyone who is not brave is not brave or not strong.
Everyone who is both not quiet and not old is both not calm and not creative.
Everyone who is not strong is calm and vice versa.
Everyon... | Mary is brave. | neutral | ((?[X]:((~humble(X)|humble(X))))=>((funny(john)&calm(john))))&
(![X]:(humble(X)<=>(tall(X)|~humble(X))))&
(![X]:(~brave(X)=>(~brave(X)|~strong(X))))&
(![X]:((~quiet(X)&~old(X))=>(~calm(X)&~creative(X))))&
(![X]:(~strong(X)<=>calm(X)))&
(![X]:((tall(X)|~strong(X))=>creative(X)))&
((~strong(alice))=>((humble(john)&~curio... | brave(mary) | [] | null | 0 |
If someone is both not wise and generous then someone is quiet.
Everyone who is old or creative is not brave and vice versa.
Everyone who is not humble is calm or not humble and vice versa.
If someone is both humble and not patient then mary is wise or not kind and vice versa.
Everyone who is both not tall and calm is ... | Paul is not old. | neutral | ((?[X]:((~wise(X)&generous(X))))=>(?[X]:(quiet(X))))&
(![X]:((old(X)|creative(X))<=>~brave(X)))&
(![X]:(~humble(X)<=>(calm(X)|~humble(X))))&
((?[X]:((humble(X)&~patient(X))))<=>((wise(mary)|~kind(mary))))&
(![X]:((~tall(X)&calm(X))<=>~tall(X)))&
(((old(john)|~strong(john)))<=>(?[X]:((patient(X)|~generous(X)))))&
(((pat... | ~old(paul) | [] | null | 0 |
If someone is not old or curious then someone is either not wise or quiet.
Everyone who is both tall and not kind is humble.
Everyone who is not kind is not calm and vice versa.
Everyone who is either curious or old is quiet.
Everyone who is calm or rich is not old or strong.
Everyone who is either tall or wise is not ... | Susan is not patient. | neutral | ((?[X]:((~old(X)|curious(X))))=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((tall(X)&~kind(X))=>humble(X)))&
(![X]:(~kind(X)<=>~calm(X)))&
(![X]:((curious(X)<~>old(X))=>quiet(X)))&
(![X]:((calm(X)|rich(X))=>(~old(X)|strong(X))))&
(![X]:((tall(X)<~>wise(X))<=>(~funny(X)|funny(X))))&
(((funny(lucy)|~quiet(lucy)))<=>((creativ... | ~patient(susan) | [] | null | 0 |
Everyone who is not calm or wise is not happy or not generous and vice versa.
Everyone who is not patient is brave or not funny and vice versa.
Everyone who is rich or not brave is generous.
If john is not quiet then someone is either not calm or tall.
If someone is rich or patient then susan is not quiet.
Everyone who... | Mary is generous. | entailment | (![X]:((~calm(X)|wise(X))<=>(~happy(X)|~generous(X))))&
(![X]:(~patient(X)<=>(brave(X)|~funny(X))))&
(![X]:((rich(X)|~brave(X))=>generous(X)))&
((~quiet(john))=>(?[X]:((~calm(X)<~>tall(X)))))&
((?[X]:((rich(X)|patient(X))))=>(~quiet(susan)))&
(![X]:((generous(X)&patient(X))<=>(quiet(X)|creative(X))))&
(![X]:((humble(X)... | generous(mary) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2084490141004295817931429
% SZS output start Proof for 2084490141004295817931429
3. ! [X0] : ((~brave(X0) | rich(X0)) => generous(X0)) [input p2]
17. ~brave(mary) & ~curious(mary) [input p16]
24. ~generous(mary) [input hypothesis]
27. ! [X0] : (generous(X0) | (brave(X0) & ~rich(X0))) [enn... | 0 |
If someone is not kind then fred is both not brave and not tall and vice versa. If john is not brave or not tall then someone is either old or happy. Everyone who is both kind and not tall is both brave and creative and vice versa. Everyone who is either generous or kind is either humble or not old and vice versa. Ever... | Fred is not strong. | entailment | ((?[X]:(~kind(X)))<=>((~brave(fred)&~tall(fred))))&
(((~brave(john)|~tall(john)))=>(?[X]:((old(X)<~>happy(X)))))&
(![X]:((kind(X)&~tall(X))<=>(brave(X)&creative(X))))&
(![X]:((generous(X)<~>kind(X))<=>(humble(X)<~>~old(X))))&
(![X]:((strong(X)&happy(X))=>(creative(X)|wise(X))))&
(![X]:((kind(X)|~strong(X))=>~curious(X)... | ~strong(fred) | [
"p0",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8406639651780971130510102
% SZS output start Proof for 8406639651780971130510102
1. ? [X0] : ~kind(X0) <=> (~tall(fred) & ~brave(fred)) [input p0]
14. ! [X0] : (brave(X0) <=> strong(X0)) [input p13]
19. ? [X0] : ~kind(X0) [input p18]
25. strong(fred) [input hypothesis]
40. (? [X0] : ~kind... | 0 |
Everyone who is either not brave or brave is rich.
If mary is patient or strong then paul is both brave and strong.
If fred is either not strong or funny then susan is either happy or kind.
Everyone who is not strong is either not creative or not patient.
If mary is either creative or not strong then someone is either ... | Mary is rich. | entailment | (![X]:((~brave(X)<~>brave(X))=>rich(X)))&
(((patient(mary)|strong(mary)))=>((brave(paul)&strong(paul))))&
(((~strong(fred)<~>funny(fred)))=>((happy(susan)<~>kind(susan))))&
(![X]:(~strong(X)=>(~creative(X)<~>~patient(X))))&
(((creative(mary)<~>~strong(mary)))=>(?[X]:((funny(X)<~>kind(X)))))&
(![X]:((~old(X)|kind(X))<=>... | rich(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7440146600292801366211625
% SZS output start Proof for 7440146600292801366211625
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => rich(X0)) [input p0]
22. ~rich(mary) [input hypothesis]
24. ! [X0] : (rich(X0) | (~brave(X0) <=> brave(X0))) [ennf transformation 1]
32. ! [X0] : (rich(X0) | ((~brav... | 0 |
If someone is not patient or wise then someone is not old.
Everyone who is tall or not humble is both not brave and curious.
If someone is either not calm or rich then fred is either not curious or not old and vice versa.
If fred is both not humble and funny then lucy is both happy and not curious and vice versa.
Every... | Susan is happy. | neutral | ((?[X]:((~patient(X)|wise(X))))=>(?[X]:(~old(X))))&
(![X]:((tall(X)|~humble(X))=>(~brave(X)&curious(X))))&
((?[X]:((~calm(X)<~>rich(X))))<=>((~curious(fred)<~>~old(fred))))&
(((~humble(fred)&funny(fred)))<=>((happy(lucy)&~curious(lucy))))&
(![X]:((~old(X)&tall(X))<=>~brave(X)))&
(![X]:((~curious(X)&~patient(X))=>~brave... | happy(susan) | [] | null | 0 |
Everyone who is both brave and strong is both not old and not strong and vice versa. Everyone who is not curious or generous is both rich and not generous and vice versa. Everyone who is either not curious or not calm is either not kind or not funny. If someone is both creative and not calm then fred is old. Everyone w... | Alice is not old. | entailment | (![X]:((brave(X)&strong(X))<=>(~old(X)&~strong(X))))&
(![X]:((~curious(X)|generous(X))<=>(rich(X)&~generous(X))))&
(![X]:((~curious(X)<~>~calm(X))=>(~kind(X)<~>~funny(X))))&
((?[X]:((creative(X)&~calm(X))))=>(old(fred)))&
(![X]:(generous(X)<=>(~kind(X)&rich(X))))&
(![X]:((~quiet(X)|~generous(X))=>(calm(X)&~old(X))))&
(... | ~old(alice) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8856390280305954596657861
% SZS output start Proof for 8856390280305954596657861
2. ! [X0] : ((generous(X0) | ~curious(X0)) <=> (~generous(X0) & rich(X0))) [input p1]
6. ! [X0] : ((~generous(X0) | ~quiet(X0)) => (~old(X0) & calm(X0))) [input p5]
21. old(alice) [input hypothesis]
28. ! [X0... | 0 |
Everyone who is funny or wise is both patient and calm and vice versa.
Everyone who is either not kind or funny is both not humble and not rich and vice versa.
Everyone who is rich is both not humble and wise.
If alice is either happy or not brave then someone is not rich or not quiet.
Everyone who is quiet is not rich... | Mary is generous. | neutral | (![X]:((funny(X)|wise(X))<=>(patient(X)&calm(X))))&
(![X]:((~kind(X)<~>funny(X))<=>(~humble(X)&~rich(X))))&
(![X]:(rich(X)=>(~humble(X)&wise(X))))&
(((happy(alice)<~>~brave(alice)))=>(?[X]:((~rich(X)|~quiet(X)))))&
(![X]:(quiet(X)=>~rich(X)))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((~old(X)|~rich(X))<=>creative(X)))&
(((~c... | generous(mary) | [] | null | 0 |
If susan is either brave or not quiet then someone is both not humble and not funny.
If alice is either calm or not brave then fred is not brave and vice versa.
Everyone who is either not wise or not tall is strong and vice versa.
If someone is not rich or not patient then someone is not funny.
If john is not calm then... | Lucy is not happy. | neutral | (((brave(susan)<~>~quiet(susan)))=>(?[X]:((~humble(X)&~funny(X)))))&
(((calm(alice)<~>~brave(alice)))<=>(~brave(fred)))&
(![X]:((~wise(X)<~>~tall(X))<=>strong(X)))&
((?[X]:((~rich(X)|~patient(X))))=>(?[X]:(~funny(X))))&
((~calm(john))=>(?[X]:(~kind(X))))&
(![X]:((wise(X)<~>old(X))<=>(~calm(X)<~>~old(X))))&
(![X]:(creat... | ~happy(lucy) | [] | null | 0 |
Everyone who is both creative and calm is old. If someone is both not quiet and not calm then fred is not old or calm and vice versa. Everyone who is both not creative and kind is not calm or rich and vice versa. If alice is both old and not calm then someone is quiet or happy and vice versa. Everyone who is kind is bo... | Fred is kind. | entailment | (![X]:((creative(X)&calm(X))=>old(X)))&
((?[X]:((~quiet(X)&~calm(X))))<=>((~old(fred)|calm(fred))))&
(![X]:((~creative(X)&kind(X))<=>(~calm(X)|rich(X))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:(kind(X)=>(quiet(X)&generous(X))))&
((?[X]:((~kind(X)&~calm(X))))<=>(?[X]:((~curious(X)&~tall(X))... | kind(fred) | [
"p1",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7579626270898065351545197
% SZS output start Proof for 7579626270898065351545197
2. ? [X0] : (~calm(X0) & ~quiet(X0)) <=> (calm(fred) | ~old(fred)) [input p1]
3. ! [X0] : ((kind(X0) & ~creative(X0)) <=> (rich(X0) | ~calm(X0))) [input p2]
5. ! [X0] : (kind(X0) => (generous(X0) & quiet(X0))... | 0 |
If lucy is old or creative then someone is both not creative and quiet and vice versa.
If alice is both old and brave then john is either tall or humble.
If fred is not patient or not strong then lucy is not patient and vice versa.
Everyone who is both not rich and not calm is both creative and patient and vice versa.
... | Susan is humble. | entailment | (((old(lucy)|creative(lucy)))<=>(?[X]:((~creative(X)&quiet(X)))))&
(((old(alice)&brave(alice)))=>((tall(john)<~>humble(john))))&
(((~patient(fred)|~strong(fred)))<=>(~patient(lucy)))&
(![X]:((~rich(X)&~calm(X))<=>(creative(X)&patient(X))))&
((?[X]:((kind(X)|old(X))))=>(?[X]:((quiet(X)|strong(X)))))&
((~tall(lucy))<=>(?... | humble(susan) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3164422238395637349680712
% SZS output start Proof for 3164422238395637349680712
7. ! [X0] : ((humble(X0) & wise(X0)) <=> generous(X0)) [input p6]
10. ! [X0] : (~curious(X0) <=> (~curious(X0) <~> ~generous(X0))) [input p9]
24. ~humble(susan) [input hypothesis]
51. ! [X0] : (((humble(X0) &... | 0 |
If paul is both rich and wise then someone is either funny or not old and vice versa.
Everyone who is both not curious and curious is not brave and vice versa.
Everyone who is rich is both kind and creative.
Everyone who is either tall or not curious is either not calm or brave.
If lucy is tall or quiet then alice is b... | Mary is generous. | contradiction | (((rich(paul)&wise(paul)))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((~curious(X)&curious(X))<=>~brave(X)))&
(![X]:(rich(X)=>(kind(X)&creative(X))))&
(![X]:((tall(X)<~>~curious(X))=>(~calm(X)<~>brave(X))))&
(((tall(lucy)|quiet(lucy)))=>((old(alice)&~creative(alice))))&
(![X]:(~humble(X)=>~quiet(X)))&
(((humble(paul)|~ol... | generous(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8419746527478258898867869
% SZS output start Proof for 8419746527478258898867869
9. ! [X0] : ((generous(X0) | ~rich(X0)) => (~generous(X0) & ~humble(X0))) [input p8]
25. generous(mary) [input hypothesis]
32. ! [X0] : ((~generous(X0) & ~humble(X0)) | (~generous(X0) & rich(X0))) [ennf trans... | 0 |
Everyone who is either curious or kind is both not tall and not brave and vice versa.
If someone is either patient or happy then lucy is not happy and vice versa.
Everyone who is patient is either creative or funny.
Everyone who is either calm or not calm is either wise or not brave and vice versa.
If someone is both h... | John is not calm. | neutral | (![X]:((curious(X)<~>kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((patient(X)<~>happy(X))))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(creative(X)<~>funny(X))))&
(![X]:((calm(X)<~>~calm(X))<=>(wise(X)<~>~brave(X))))&
((?[X]:((happy(X)&patient(X))))=>(old(paul)))&
((tall(susan))<=>((wise(john)|~rich(john))))&
(((happy(alice)|... | ~calm(john) | [] | null | 0 |
Everyone who is creative is both not humble and not kind. If someone is not patient or not rich then lucy is either happy or patient and vice versa. Everyone who is either not kind or not strong is both calm and not calm. Everyone who is not curious is tall. Everyone who is either not kind or not rich is either kind or... | Paul is humble. | entailment | (![X]:(creative(X)=>(~humble(X)&~kind(X))))&
((?[X]:((~patient(X)|~rich(X))))<=>((happy(lucy)<~>patient(lucy))))&
(![X]:((~kind(X)<~>~strong(X))=>(calm(X)&~calm(X))))&
(![X]:(~curious(X)=>tall(X)))&
(![X]:((~kind(X)<~>~rich(X))<=>(kind(X)<~>~old(X))))&
(![X]:(funny(X)<=>(~rich(X)<~>~calm(X))))&
(![X]:((~wise(X)|patient... | humble(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3111086023188490676560439
% SZS output start Proof for 3111086023188490676560439
9. ! [X0] : ((~curious(X0) <~> curious(X0)) => humble(X0)) [input p8]
21. ~humble(paul) [input hypothesis]
30. ! [X0] : (humble(X0) | (~curious(X0) <=> curious(X0))) [ennf transformation 9]
43. ! [X0] : (humb... | 0 |
Everyone who is old or not generous is either not patient or kind and vice versa.
If someone is both not brave and calm then fred is humble or brave and vice versa.
If someone is generous then lucy is either not humble or happy and vice versa.
Everyone who is both not happy and not kind is either happy or calm and vice... | Susan is patient. | neutral | (![X]:((old(X)|~generous(X))<=>(~patient(X)<~>kind(X))))&
((?[X]:((~brave(X)&calm(X))))<=>((humble(fred)|brave(fred))))&
((?[X]:(generous(X)))<=>((~humble(lucy)<~>happy(lucy))))&
(![X]:((~happy(X)&~kind(X))<=>(happy(X)<~>calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)<~>tall(X))))&
(![X]:(~happy(X)=>(old(X)&~tall(X))))&
(![X]:... | patient(susan) | [] | null | 0 |
If someone is either not happy or generous then alice is funny.
If someone is either humble or kind then someone is both not brave and not patient.
Everyone who is strong is generous or happy and vice versa.
Everyone who is not patient is creative and vice versa.
If someone is happy or not tall then someone is both not... | Alice is old. | contradiction | ((?[X]:((~happy(X)<~>generous(X))))=>(funny(alice)))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:(strong(X)<=>(generous(X)|happy(X))))&
(![X]:(~patient(X)<=>creative(X)))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~creative(X)<=>(old(X)&wise(X))))&
(![X]:((~st... | old(alice) | [
"p0",
"p2",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2265440491846905174482804
% SZS output start Proof for 2265440491846905174482804
1. ? [X0] : (~happy(X0) <~> generous(X0)) => funny(alice) [input p0]
3. ! [X0] : (strong(X0) <=> (happy(X0) | generous(X0))) [input p2]
10. ! [X0] : (brave(X0) <=> (old(X0) | quiet(X0))) [input p9]
15. ! [X0]... | 0 |
Everyone who is not calm or not tall is tall and vice versa.
Everyone who is kind is either kind or happy and vice versa.
If someone is both kind and calm then someone is calm or quiet and vice versa.
Everyone who is not old is both old and funny and vice versa.
Everyone who is creative is both rich and not quiet and v... | Lucy is strong. | neutral | (![X]:((~calm(X)|~tall(X))<=>tall(X)))&
(![X]:(kind(X)<=>(kind(X)<~>happy(X))))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:(~old(X)<=>(old(X)&funny(X))))&
(![X]:(creative(X)<=>(rich(X)&~quiet(X))))&
((~rich(alice))=>(?[X]:(~creative(X))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:((~patient(X)<~>... | strong(lucy) | [] | null | 0 |
Everyone who is patient is either brave or not strong.
If someone is both not humble and not kind then fred is both not old and happy and vice versa.
Everyone who is generous is either not humble or not wise.
Everyone who is both rich and tall is both tall and not happy and vice versa.
Everyone who is old or not funny ... | Fred is wise. | entailment | (![X]:(patient(X)=>(brave(X)<~>~strong(X))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(fred)&happy(fred))))&
(![X]:(generous(X)=>(~humble(X)<~>~wise(X))))&
(![X]:((rich(X)&tall(X))<=>(tall(X)&~happy(X))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(... | wise(fred) | [
"p1",
"p3",
"p4",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 300104889143351830675449
% SZS output start Proof for 300104889143351830675449
2. ? [X0] : (~kind(X0) & ~humble(X0)) <=> (happy(fred) & ~old(fred)) [input p1]
4. ! [X0] : ((tall(X0) & rich(X0)) <=> (~happy(X0) & tall(X0))) [input p3]
5. ! [X0] : ((~funny(X0) | old(X0)) <=> (rich(X0) <~> h... | 0 |
Everyone who is not generous is strong or not humble. If lucy is generous then someone is calm. Everyone who is both creative and generous is not brave and vice versa. Everyone who is not generous is either not brave or funny and vice versa. Everyone who is either happy or kind is not brave or not calm and vice versa. ... | Mary is not old. | entailment | (![X]:(~generous(X)=>(strong(X)|~humble(X))))&
((generous(lucy))=>(?[X]:(calm(X))))&
(![X]:((creative(X)&generous(X))<=>~brave(X)))&
(![X]:(~generous(X)<=>(~brave(X)<~>funny(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~brave(X)|~calm(X))))&
(![X]:((old(X)<~>~strong(X))=>(~old(X)&~generous(X))))&
(![X]:(old(X)=>(old(X)&~patie... | ~old(mary) | [
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3407108432183226435933097
% SZS output start Proof for 3407108432183226435933097
6. ! [X0] : ((old(X0) <~> ~strong(X0)) => (~generous(X0) & ~old(X0))) [input p5]
20. ~kind(mary) & strong(mary) [input p19]
25. old(mary) [input hypothesis]
29. ! [X0] : ((~generous(X0) & ~old(X0)) | (old(X0)... | 0 |
If someone is both not happy and curious then someone is either not humble or not quiet and vice versa. If fred is patient or not rich then alice is not wise. If fred is not brave or not old then someone is both kind and not strong. If susan is either kind or funny then susan is not patient. Everyone who is both not cu... | Paul is kind. | entailment | ((?[X]:((~happy(X)&curious(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(((patient(fred)|~rich(fred)))=>(~wise(alice)))&
(((~brave(fred)|~old(fred)))=>(?[X]:((kind(X)&~strong(X)))))&
(((kind(susan)<~>funny(susan)))=>(~patient(susan)))&
(![X]:((~curious(X)&~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|calm(X)... | kind(paul) | [
"p7",
"p8",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8802464057029957376613306
% SZS output start Proof for 8802464057029957376613306
8. ! [X0] : (~patient(X0) <=> ~strong(X0)) [input p7]
9. ? [X0] : (~strong(X0) | creative(X0)) <=> (kind(paul) <~> ~strong(paul)) [input p8]
12. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> (~creative(X0) & ~humble(... | 0 |
Everyone who is both not brave and old is either not quiet or not creative and vice versa.
Everyone who is creative or not generous is both not curious and not creative and vice versa.
If lucy is either kind or tall then lucy is wise.
Everyone who is not old or not happy is either patient or not rich and vice versa.
Ev... | Susan is creative. | contradiction | (![X]:((~brave(X)&old(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((creative(X)|~generous(X))<=>(~curious(X)&~creative(X))))&
(((kind(lucy)<~>tall(lucy)))=>(wise(lucy)))&
(![X]:((~old(X)|~happy(X))<=>(patient(X)<~>~rich(X))))&
(![X]:((strong(X)<~>generous(X))=>~funny(X)))&
((?[X]:((~wise(X)&~funny(X))))=>((happy(mary)&~k... | creative(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6370962366448854052924438
% SZS output start Proof for 6370962366448854052924438
2. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~creative(X0) & ~curious(X0))) [input p1]
25. creative(susan) [input hypothesis]
42. ! [X0] : (((~generous(X0) | creative(X0)) | (creative(X0) | curious(X0))) ... | 0 |
Everyone who is either strong or not brave is both rich and happy and vice versa. If someone is either wise or not brave then mary is not brave and vice versa. Everyone who is patient or humble is not curious or brave and vice versa. Everyone who is both not humble and tall is either patient or not generous. Everyone w... | Mary is tall. | contradiction | (![X]:((strong(X)<~>~brave(X))<=>(rich(X)&happy(X))))&
((?[X]:((wise(X)<~>~brave(X))))<=>(~brave(mary)))&
(![X]:((patient(X)|humble(X))<=>(~curious(X)|brave(X))))&
(![X]:((~humble(X)&tall(X))=>(patient(X)<~>~generous(X))))&
(![X]:((creative(X)|curious(X))=>quiet(X)))&
((?[X]:((~wise(X)|~humble(X))))=>((calm(lucy)|old(l... | tall(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6318975698780908027265301
% SZS output start Proof for 6318975698780908027265301
11. (~strong(fred) & strong(fred)) <=> ? [X0] : tall(X0) [input p10]
24. tall(mary) [input hypothesis]
56. ((~strong(fred) & strong(fred)) | ! [X0] : ~tall(X0)) & (? [X0] : tall(X0) | (strong(fred) | ~strong(... | 0 |
If someone is not rich then someone is either curious or wise and vice versa. If paul is not calm then someone is not patient or not funny. Everyone who is rich or not humble is both rich and not patient and vice versa. Everyone who is generous or kind is both strong and not creative and vice versa. Everyone who is eit... | Paul is tall. | contradiction | ((?[X]:(~rich(X)))<=>(?[X]:((curious(X)<~>wise(X)))))&
((~calm(paul))=>(?[X]:((~patient(X)|~funny(X)))))&
(![X]:((rich(X)|~humble(X))<=>(rich(X)&~patient(X))))&
(![X]:((generous(X)|kind(X))<=>(strong(X)&~creative(X))))&
(![X]:((rich(X)<~>tall(X))<=>calm(X)))&
(![X]:(creative(X)=>(~tall(X)<~>~generous(X))))&
(![X]:((~cu... | tall(paul) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8654843957027270797310245
% SZS output start Proof for 8654843957027270797310245
3. ! [X0] : ((~humble(X0) | rich(X0)) <=> (~patient(X0) & rich(X0))) [input p2]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> (~creative(X0) & strong(X0))) [input p3]
5. ! [X0] : ((rich(X0) <~> tall(X0)) <=> cal... | 0 |
Everyone who is not curious or rich is calm.
If alice is either generous or not generous then alice is both brave and not kind.
Everyone who is not tall or wise is both not rich and quiet and vice versa.
Everyone who is both not tall and not patient is either calm or quiet.
Everyone who is not quiet or not humble is hu... | Lucy is not funny. | neutral | (![X]:((~curious(X)|rich(X))=>calm(X)))&
(((generous(alice)<~>~generous(alice)))=>((brave(alice)&~kind(alice))))&
(![X]:((~tall(X)|wise(X))<=>(~rich(X)&quiet(X))))&
(![X]:((~tall(X)&~patient(X))=>(calm(X)<~>quiet(X))))&
(![X]:((~quiet(X)|~humble(X))=>(humble(X)|old(X))))&
(((~brave(alice)|~happy(alice)))=>(?[X]:((patie... | ~funny(lucy) | [] | null | 0 |
Everyone who is not creative is not tall or not patient and vice versa. If mary is not kind or not tall then someone is old and vice versa. Everyone who is either brave or generous is both humble and happy. If someone is both wise and patient then someone is either generous or not patient. If someone is both humble and... | John is old. | contradiction | (![X]:(~creative(X)<=>(~tall(X)|~patient(X))))&
(((~kind(mary)|~tall(mary)))<=>(?[X]:(old(X))))&
(![X]:((brave(X)<~>generous(X))=>(humble(X)&happy(X))))&
((?[X]:((wise(X)&patient(X))))=>(?[X]:((generous(X)<~>~patient(X)))))&
((?[X]:((humble(X)&old(X))))<=>((creative(john)<~>curious(john))))&
(![X]:((~brave(X)<~>~creati... | old(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 539182869104464492598458
% SZS output start Proof for 539182869104464492598458
8. ! [X0] : ((old(X0) | ~curious(X0)) => (~old(X0) & patient(X0))) [input p7]
25. old(john) [input hypothesis]
33. ! [X0] : ((~old(X0) & patient(X0)) | (~old(X0) & curious(X0))) [ennf transformation 8]
115. ~ol... | 0 |
If paul is strong or curious then john is not curious or not quiet and vice versa.
Everyone who is either calm or not calm is humble and vice versa.
If mary is not creative then susan is not wise.
If john is calm then paul is curious or not quiet.
If lucy is not quiet then someone is both generous and not tall.
Everyon... | John is rich. | entailment | (((strong(paul)|curious(paul)))<=>((~curious(john)|~quiet(john))))&
(![X]:((calm(X)<~>~calm(X))<=>humble(X)))&
((~creative(mary))=>(~wise(susan)))&
((calm(john))=>((curious(paul)|~quiet(paul))))&
((~quiet(lucy))=>(?[X]:((generous(X)&~tall(X)))))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>~curious(X))))&
(![X]:(~humble(X)<... | rich(john) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5238261621651783132751810
% SZS output start Proof for 5238261621651783132751810
2. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> humble(X0)) [input p1]
7. ! [X0] : (~humble(X0) <=> (generous(X0) | ~rich(X0))) [input p6]
22. ~rich(john) [input hypothesis]
40. ! [X0] : ((((calm(X0) | ~calm(X0)) &... | 0 |
Everyone who is either funny or not calm is generous or calm and vice versa.
If paul is either kind or quiet then lucy is strong or brave and vice versa.
Everyone who is not generous is not strong.
If john is funny or not funny then susan is either not calm or not generous.
Everyone who is both rich and not wise is eit... | Susan is not creative. | contradiction | (![X]:((funny(X)<~>~calm(X))<=>(generous(X)|calm(X))))&
(((kind(paul)<~>quiet(paul)))<=>((strong(lucy)|brave(lucy))))&
(![X]:(~generous(X)=>~strong(X)))&
(((funny(john)|~funny(john)))=>((~calm(susan)<~>~generous(susan))))&
(![X]:((rich(X)&~wise(X))=>(strong(X)<~>~patient(X))))&
(![X]:((rich(X)|~kind(X))=>(~happy(X)<~>w... | ~creative(susan) | [
"p3",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8203521267004757253156508
% SZS output start Proof for 8203521267004757253156508
4. (~funny(john) | funny(john)) => (~calm(susan) <~> ~generous(susan)) [input p3]
8. ! [X0] : ((creative(X0) & ~wise(X0)) <=> (~calm(X0) | creative(X0))) [input p7]
9. ! [X0] : ((~creative(X0) & humble(X0)) <... | 0 |
If alice is creative then lucy is brave or not patient.
Everyone who is both old and not quiet is either brave or not old.
Everyone who is not kind is not curious.
Everyone who is either not curious or brave is creative.
If someone is both not rich and not generous then someone is not calm.
If john is both creative and... | Mary is generous. | neutral | ((creative(alice))=>((brave(lucy)|~patient(lucy))))&
(![X]:((old(X)&~quiet(X))=>(brave(X)<~>~old(X))))&
(![X]:(~kind(X)=>~curious(X)))&
(![X]:((~curious(X)<~>brave(X))=>creative(X)))&
((?[X]:((~rich(X)&~generous(X))))=>(?[X]:(~calm(X))))&
(((creative(john)&curious(john)))<=>((kind(lucy)&wise(lucy))))&
(![X]:((old(X)&~s... | generous(mary) | [] | null | 0 |
If someone is either not strong or not humble then lucy is not strong and vice versa.
If someone is both not kind and not creative then fred is either not humble or not patient.
If fred is either humble or not curious then mary is old or calm.
If someone is not brave then lucy is either not rich or brave.
Everyone who ... | Paul is not old. | contradiction | ((?[X]:((~strong(X)<~>~humble(X))))<=>(~strong(lucy)))&
((?[X]:((~kind(X)&~creative(X))))=>((~humble(fred)<~>~patient(fred))))&
(((humble(fred)<~>~curious(fred)))=>((old(mary)|calm(mary))))&
((?[X]:(~brave(X)))=>((~rich(lucy)<~>brave(lucy))))&
(![X]:((kind(X)&humble(X))<=>(quiet(X)|humble(X))))&
(![X]:((funny(X)<~>humb... | ~old(paul) | [
"p4",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2491916304649263746225259
% SZS output start Proof for 2491916304649263746225259
5. ! [X0] : ((humble(X0) & kind(X0)) <=> (humble(X0) | quiet(X0))) [input p4]
6. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (~funny(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((patient(X0) & curious(X0)) <=> ... | 0 |
If someone is both quiet and generous then alice is either generous or patient and vice versa.
If john is not old or not creative then someone is both not tall and not brave.
If mary is either quiet or not brave then someone is either not happy or strong and vice versa.
Everyone who is happy is either not brave or happ... | Fred is tall. | neutral | ((?[X]:((quiet(X)&generous(X))))<=>((generous(alice)<~>patient(alice))))&
(((~old(john)|~creative(john)))=>(?[X]:((~tall(X)&~brave(X)))))&
(((quiet(mary)<~>~brave(mary)))<=>(?[X]:((~happy(X)<~>strong(X)))))&
(![X]:(happy(X)<=>(~brave(X)<~>happy(X))))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X))))&
(![X]:((funny(X)&curious(X... | tall(fred) | [] | null | 0 |
If mary is both not strong and not funny then someone is either not wise or quiet.
If mary is not rich then susan is not tall or patient.
If someone is calm or not kind then paul is both not funny and strong and vice versa.
Everyone who is not funny is both not tall and strong.
Everyone who is both wise and curious is ... | Fred is tall. | contradiction | (((~strong(mary)&~funny(mary)))=>(?[X]:((~wise(X)<~>quiet(X)))))&
((~rich(mary))=>((~tall(susan)|patient(susan))))&
((?[X]:((calm(X)|~kind(X))))<=>((~funny(paul)&strong(paul))))&
(![X]:(~funny(X)=>(~tall(X)&strong(X))))&
(![X]:((wise(X)&curious(X))=>(~funny(X)|old(X))))&
((?[X]:((~quiet(X)&brave(X))))=>(?[X]:(calm(X)))... | tall(fred) | [
"p3",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8559044197326613171840491
% SZS output start Proof for 8559044197326613171840491
4. ! [X0] : (~funny(X0) => (strong(X0) & ~tall(X0))) [input p3]
9. ! [X0] : ((rich(X0) & funny(X0)) => ~happy(X0)) [input p8]
10. ! [X0] : (funny(X0) => (~happy(X0) | rich(X0))) [input p9]
13. ? [X0] : (old(X... | 0 |
Everyone who is both not wise and tall is strong and vice versa.
If lucy is either rich or calm then alice is not creative or rich and vice versa.
Everyone who is both not wise and not tall is either tall or happy and vice versa.
Everyone who is either not kind or not funny is wise.
If john is not happy then someone is... | Lucy is quiet. | neutral | (![X]:((~wise(X)&tall(X))<=>strong(X)))&
(((rich(lucy)<~>calm(lucy)))<=>((~creative(alice)|rich(alice))))&
(![X]:((~wise(X)&~tall(X))<=>(tall(X)<~>happy(X))))&
(![X]:((~kind(X)<~>~funny(X))=>wise(X)))&
((~happy(john))=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:((curious(X)&~brave(X))=>(~wise(X)&~generous(X))))&
((?[X]:((h... | quiet(lucy) | [] | null | 0 |
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