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 not humble or not funny is either old or patient. If someone is either not patient or not old then someone is either not strong or not curious and vice versa. If someone is either not generous or generous then susan is either wise or not curious and vice versa. Everyone who is both not brave and ... | Alice is not rich. | contradiction | (![X]:((~humble(X)<~>~funny(X))=>(old(X)<~>patient(X))))&
((?[X]:((~patient(X)<~>~old(X))))<=>(?[X]:((~strong(X)<~>~curious(X)))))&
((?[X]:((~generous(X)<~>generous(X))))<=>((wise(susan)<~>~curious(susan))))&
(![X]:((~brave(X)&brave(X))<=>(humble(X)&~brave(X))))&
(((rich(susan)<~>~creative(susan)))<=>(?[X]:((generous(X... | ~rich(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1412614973266217157824698
% SZS output start Proof for 1412614973266217157824698
18. rich(alice) & strong(alice) [input p17]
24. ~rich(alice) [input hypothesis]
145. rich(alice) [cnf transformation 18]
154. ~rich(alice) [cnf transformation 24]
333. $false [subsumption resolution 154,145]
... | 0 |
If susan is either not quiet or not tall then someone is rich or humble and vice versa.
If fred is either not brave or not kind then someone is both not tall and kind and vice versa.
If mary is not tall then paul is not strong and vice versa.
Everyone who is both not rich and not generous is either not kind or patient ... | Paul is humble. | entailment | (((~quiet(susan)<~>~tall(susan)))<=>(?[X]:((rich(X)|humble(X)))))&
(((~brave(fred)<~>~kind(fred)))<=>(?[X]:((~tall(X)&kind(X)))))&
((~tall(mary))<=>(~strong(paul)))&
(![X]:((~rich(X)&~generous(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((calm(X)&humble(X))<=>(~humble(X)|~wise(X))))&
(![X]:((old(X)<~>~old(X))=>(funny(X)&wis... | humble(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 9154367131453103079243631
% SZS output start Proof for 9154367131453103079243631
5. ! [X0] : ((humble(X0) & calm(X0)) <=> (~wise(X0) | ~humble(X0))) [input p4]
23. ~humble(paul) [input hypothesis]
41. ! [X0] : (((humble(X0) & calm(X0)) | (wise(X0) & humble(X0))) & ((~wise(X0) | ~humble(X0... | 0 |
If someone is not creative or brave then someone is both wise and happy.
Everyone who is either brave or not strong is either not old or quiet and vice versa.
Everyone who is patient is tall or not quiet and vice versa.
Everyone who is both rich and not creative is either wise or creative and vice versa.
Everyone who i... | Susan is not strong. | entailment | ((?[X]:((~creative(X)|brave(X))))=>(?[X]:((wise(X)&happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(~old(X)<~>quiet(X))))&
(![X]:(patient(X)<=>(tall(X)|~quiet(X))))&
(![X]:((rich(X)&~creative(X))<=>(wise(X)<~>creative(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((old(X)|strong(X))))<=>(?[X]:((... | ~strong(susan) | [
"p2",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 613706065375280245774154
% SZS output start Proof for 613706065375280245774154
3. ! [X0] : (patient(X0) <=> (~quiet(X0) | tall(X0))) [input p2]
5. ! [X0] : ((~quiet(X0) & ~patient(X0)) <=> (calm(X0) <~> funny(X0))) [input p4]
7. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(X0... | 0 |
Everyone who is either not kind or not old is both rich and not wise and vice versa.
Everyone who is both not funny and kind is humble.
Everyone who is not strong is not tall and vice versa.
If someone is either not generous or humble then someone is both humble and not tall.
Everyone who is either patient or not tall ... | Fred is not calm. | contradiction | (![X]:((~kind(X)<~>~old(X))<=>(rich(X)&~wise(X))))&
(![X]:((~funny(X)&kind(X))=>humble(X)))&
(![X]:(~strong(X)<=>~tall(X)))&
((?[X]:((~generous(X)<~>humble(X))))=>(?[X]:((humble(X)&~tall(X)))))&
(![X]:((patient(X)<~>~tall(X))<=>(kind(X)<~>patient(X))))&
(((quiet(alice)<~>curious(alice)))<=>(?[X]:((~old(X)&~strong(X))))... | ~calm(fred) | [
"p0",
"p2",
"p4",
"p7",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 910366314552630925345418
% SZS output start Proof for 910366314552630925345418
1. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> (~wise(X0) & rich(X0))) [input p0]
3. ! [X0] : (~strong(X0) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((patient(X0) <~> ~tall(X0)) <=> (kind(X0) <~> patient(X0))) [input p4... | 0 |
Everyone who is rich or patient is both not tall and strong. If fred is not humble then someone is both happy and patient. Everyone who is both not funny and not patient is both not kind and old and vice versa. Everyone who is not humble is both funny and curious. Everyone who is not generous or funny is both not creat... | John is tall. | contradiction | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((~humble(fred))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(~kind(X)&old(X))))&
(![X]:(~humble(X)=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(!... | tall(john) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7042737902982244522854953
% SZS output start Proof for 7042737902982244522854953
1. ! [X0] : ((patient(X0) | rich(X0)) => (strong(X0) & ~tall(X0))) [input p0]
5. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p4]
9. ! [X0] : (~quiet(X0) => patient(X0)) [inpu... | 0 |
Everyone who is generous is either tall or happy. If john is either not tall or happy then alice is both not old and patient. If someone is either funny or old then paul is not strong or not creative. Everyone who is both old and not tall is wise. Everyone who is both brave and creative is either happy or not humble. E... | Paul is not calm. | entailment | (![X]:(generous(X)=>(tall(X)<~>happy(X))))&
(((~tall(john)<~>happy(john)))=>((~old(alice)&patient(alice))))&
((?[X]:((funny(X)<~>old(X))))=>((~strong(paul)|~creative(paul))))&
(![X]:((old(X)&~tall(X))=>wise(X)))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&... | ~calm(paul) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4238215005020332532812911
% SZS output start Proof for 4238215005020332532812911
1. ! [X0] : (generous(X0) => (tall(X0) <~> happy(X0))) [input p0]
5. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))... | 0 |
If someone is either wise or old then paul is both kind and not brave and vice versa. Everyone who is not calm or funny is not brave or rich and vice versa. Everyone who is both strong and curious is tall and vice versa. If someone is not patient or not brave then mary is calm. Everyone who is both not patient and stro... | Lucy is not curious. | neutral | ((?[X]:((wise(X)<~>old(X))))<=>((kind(paul)&~brave(paul))))&
(![X]:((~calm(X)|funny(X))<=>(~brave(X)|rich(X))))&
(![X]:((strong(X)&curious(X))<=>tall(X)))&
((?[X]:((~patient(X)|~brave(X))))=>(calm(mary)))&
(![X]:((~patient(X)&strong(X))<=>(happy(X)|generous(X))))&
((?[X]:((generous(X)<~>~patient(X))))=>((~strong(fred)&... | ~curious(lucy) | [] | null | 0 |
If mary is not funny then someone is both not calm and patient and vice versa.
Everyone who is both patient and not curious is either not kind or wise and vice versa.
If susan is not brave then susan is both not brave and not funny.
If someone is not patient or generous then someone is both creative and wise and vice v... | Paul is not calm. | contradiction | ((~funny(mary))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]:((patient(X)&~curious(X))<=>(~kind(X)<~>wise(X))))&
((~brave(susan))=>((~brave(susan)&~funny(susan))))&
((?[X]:((~patient(X)|generous(X))))<=>(?[X]:((creative(X)&wise(X)))))&
((~strong(mary))=>(?[X]:((old(X)&wise(X)))))&
(![X]:((~kind(X)|~curious(X))=>(calm(X)<~>... | ~calm(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 122455220566250396687015
% SZS output start Proof for 122455220566250396687015
12. ! [X0] : ((~old(X0) & old(X0)) <=> (~curious(X0) | ~calm(X0))) [input p11]
23. ~calm(paul) [input hypothesis]
65. ! [X0] : (((~old(X0) & old(X0)) | (curious(X0) & calm(X0))) & ((~curious(X0) | ~calm(X0)) | ... | 0 |
Everyone who is quiet is not happy.
Everyone who is not brave or brave is old and vice versa.
If lucy is not strong then someone is either patient or brave and vice versa.
Everyone who is not kind or old is either funny or generous and vice versa.
If john is old then paul is not humble or not calm.
Everyone who is both... | Mary is old. | entailment | (![X]:(quiet(X)=>~happy(X)))&
(![X]:((~brave(X)|brave(X))<=>old(X)))&
((~strong(lucy))<=>(?[X]:((patient(X)<~>brave(X)))))&
(![X]:((~kind(X)|old(X))<=>(funny(X)<~>generous(X))))&
((old(john))=>((~humble(paul)|~calm(paul))))&
(![X]:((kind(X)&rich(X))=>(~generous(X)<~>happy(X))))&
((?[X]:((~kind(X)&~tall(X))))<=>(?[X]:((... | old(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5270463013545187399917315
% SZS output start Proof for 5270463013545187399917315
2. ! [X0] : ((brave(X0) | ~brave(X0)) <=> old(X0)) [input p1]
23. ~old(mary) [input hypothesis]
35. ! [X0] : (((brave(X0) | ~brave(X0)) | ~old(X0)) & (old(X0) | (~brave(X0) & brave(X0)))) [nnf transformation ... | 0 |
Everyone who is not wise is kind.
If fred is either not old or strong then fred is either not funny or not humble and vice versa.
Everyone who is either not patient or not wise is kind or not strong.
If someone is not happy then john is both not happy and funny.
Everyone who is not quiet or not calm is both not creativ... | Fred is old. | neutral | (![X]:(~wise(X)=>kind(X)))&
(((~old(fred)<~>strong(fred)))<=>((~funny(fred)<~>~humble(fred))))&
(![X]:((~patient(X)<~>~wise(X))=>(kind(X)|~strong(X))))&
((?[X]:(~happy(X)))=>((~happy(john)&funny(john))))&
(![X]:((~quiet(X)|~calm(X))=>(~creative(X)&~wise(X))))&
(![X]:((~brave(X)|old(X))<=>(~humble(X)<~>tall(X))))&
(![X]... | old(fred) | [] | null | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Mary is not funny. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | ~funny(mary) | [] | null | 0 |
If someone is both happy and old then someone is not generous or not humble and vice versa. Everyone who is happy is not kind or not happy and vice versa. Everyone who is not happy is either not humble or happy. Everyone who is not brave or calm is wise. If susan is both brave and not happy then someone is both not kin... | Mary is not patient. | entailment | ((?[X]:((happy(X)&old(X))))<=>(?[X]:((~generous(X)|~humble(X)))))&
(![X]:(happy(X)<=>(~kind(X)|~happy(X))))&
(![X]:(~happy(X)=>(~humble(X)<~>happy(X))))&
(![X]:((~brave(X)|calm(X))=>wise(X)))&
(((brave(susan)&~happy(susan)))<=>(?[X]:((~kind(X)&patient(X)))))&
((?[X]:((~happy(X)<~>~funny(X))))<=>((~quiet(paul)|~generous... | ~patient(mary) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7027415208432442809933752
% SZS output start Proof for 7027415208432442809933752
2. ! [X0] : (happy(X0) <=> (~happy(X0) | ~kind(X0))) [input p1]
5. (~happy(susan) & brave(susan)) <=> ? [X0] : (patient(X0) & ~kind(X0)) [input p4]
22. patient(mary) [input hypothesis]
39. ! [X0] : ((happy(X0... | 0 |
If lucy is either not quiet or not kind then someone is either happy or not creative and vice versa.
Everyone who is both not strong and creative is both not rich and not curious.
If susan is either not tall or creative then someone is either old or not rich and vice versa.
If john is generous or not quiet then fred is... | John is not tall. | neutral | (((~quiet(lucy)<~>~kind(lucy)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:((~strong(X)&creative(X))=>(~rich(X)&~curious(X))))&
(((~tall(susan)<~>creative(susan)))<=>(?[X]:((old(X)<~>~rich(X)))))&
(((generous(john)|~quiet(john)))<=>(~funny(fred)))&
(((~kind(john)&~creative(john)))=>(kind(john)))&
(((rich(paul)<~>brav... | ~tall(john) | [] | null | 0 |
Everyone who is wise is either tall or not kind and vice versa. Everyone who is happy or generous is curious and vice versa. Everyone who is either not strong or happy is both not old and not quiet. If lucy is kind then someone is not kind or not calm and vice versa. Everyone who is either quiet or funny is both not st... | Fred is not rich. | neutral | (![X]:(wise(X)<=>(tall(X)<~>~kind(X))))&
(![X]:((happy(X)|generous(X))<=>curious(X)))&
(![X]:((~strong(X)<~>happy(X))=>(~old(X)&~quiet(X))))&
((kind(lucy))<=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:((quiet(X)<~>funny(X))=>(~strong(X)&curious(X))))&
(![X]:((~brave(X)|~creative(X))=>(strong(X)&happy(X))))&
(((~wise(alice)|~... | ~rich(fred) | [] | null | 0 |
If susan is curious then lucy is either not generous or not funny and vice versa.
If lucy is both not generous and not strong then someone is not wise.
Everyone who is funny is either generous or not rich.
Everyone who is both not quiet and generous is happy and vice versa.
Everyone who is both not rich and not wise is... | Alice is not happy. | neutral | ((curious(susan))<=>((~generous(lucy)<~>~funny(lucy))))&
(((~generous(lucy)&~strong(lucy)))=>(?[X]:(~wise(X))))&
(![X]:(funny(X)=>(generous(X)<~>~rich(X))))&
(![X]:((~quiet(X)&generous(X))<=>happy(X)))&
(![X]:((~rich(X)&~wise(X))<=>~wise(X)))&
(![X]:((generous(X)|~strong(X))<=>old(X)))&
(![X]:(brave(X)<=>(~curious(X)|c... | ~happy(alice) | [] | null | 0 |
Everyone who is either not generous or happy is brave or quiet.
If someone is not patient then john is both not rich and rich and vice versa.
If fred is not quiet or wise then john is not rich or funny and vice versa.
Everyone who is either rich or happy is strong or humble.
Everyone who is both curious and not quiet i... | Alice is patient. | entailment | (![X]:((~generous(X)<~>happy(X))=>(brave(X)|quiet(X))))&
((?[X]:(~patient(X)))<=>((~rich(john)&rich(john))))&
(((~quiet(fred)|wise(fred)))<=>((~rich(john)|funny(john))))&
(![X]:((rich(X)<~>happy(X))=>(strong(X)|humble(X))))&
(![X]:((curious(X)&~quiet(X))=>(~old(X)|wise(X))))&
(![X]:((creative(X)|~calm(X))=>(brave(X)|ha... | patient(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 886540082848427541726149
% SZS output start Proof for 886540082848427541726149
2. ? [X0] : ~patient(X0) <=> (rich(john) & ~rich(john)) [input p1]
23. ~patient(alice) [input hypothesis]
44. (? [X0] : ~patient(X0) | (~rich(john) | rich(john))) & ((rich(john) & ~rich(john)) | ! [X0] : patien... | 0 |
Everyone who is either calm or brave is not funny or not strong.
Everyone who is not happy or not kind is not calm.
Everyone who is either not funny or wise is both wise and not rich and vice versa.
Everyone who is not creative or not humble is rich and vice versa.
If susan is both generous and not rich then fred is ei... | Fred is not brave. | contradiction | (![X]:((calm(X)<~>brave(X))=>(~funny(X)|~strong(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((~funny(X)<~>wise(X))<=>(wise(X)&~rich(X))))&
(![X]:((~creative(X)|~humble(X))<=>rich(X)))&
(((generous(susan)&~rich(susan)))=>((humble(fred)<~>happy(fred))))&
((?[X]:((~kind(X)<~>~wise(X))))<=>(?[X]:(~patient(X))))&
... | ~brave(fred) | [
"p3",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5232217705415013896245112
% SZS output start Proof for 5232217705415013896245112
4. ! [X0] : ((~humble(X0) | ~creative(X0)) <=> rich(X0)) [input p3]
10. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p9]
13. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (curious(X0) | quiet(X0))) [input p12]
16. ! ... | 0 |
Everyone who is both not old and not brave is not strong and vice versa.
Everyone who is both generous and not kind is either tall or not creative and vice versa.
Everyone who is not brave or kind is not funny and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious or not calm is cu... | John is brave. | contradiction | (![X]:((~old(X)&~brave(X))<=>~strong(X)))&
(![X]:((generous(X)&~kind(X))<=>(tall(X)<~>~creative(X))))&
(![X]:((~brave(X)|kind(X))<=>~funny(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>(~calm(X)&calm(... | brave(john) | [
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8084649562566769460927381
% SZS output start Proof for 8084649562566769460927381
5. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p6]
8. ? [X0] : (brave(X0) | humble(X0)) => ? [X0] : ~rich(X0) [input p7]
22. br... | 0 |
If someone is calm then paul is not patient or old.
If someone is not happy then someone is either not quiet or not curious and vice versa.
Everyone who is both not wise and not patient is both not rich and wise and vice versa.
If paul is rich or not brave then someone is brave or humble and vice versa.
Everyone who is... | John is not creative. | neutral | ((?[X]:(calm(X)))=>((~patient(paul)|old(paul))))&
((?[X]:(~happy(X)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(~rich(X)&wise(X))))&
(((rich(paul)|~brave(paul)))<=>(?[X]:((brave(X)|humble(X)))))&
(![X]:((~funny(X)|~quiet(X))<=>quiet(X)))&
(![X]:((~humble(X)&~curious(X))=>(humble(X)<~>funny... | ~creative(john) | [] | null | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | John is not quiet. | contradiction | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | ~quiet(john) | [
"p0",
"p1",
"p4",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 498024645647996297581111
% SZS output start Proof for 498024645647996297581111
1. ! [X0] : (~calm(X0) <=> (creative(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~quiet(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & old(X0)) => (patient(X0) & creative(X... | 0 |
Everyone who is both kind and happy is not wise or old and vice versa. Everyone who is curious is strong or not rich. Everyone who is patient or not humble is either not creative or not kind. Everyone who is either not patient or not creative is not rich or kind. If someone is either wise or happy then someone is eithe... | John is not creative. | entailment | (![X]:((kind(X)&happy(X))<=>(~wise(X)|old(X))))&
(![X]:(curious(X)=>(strong(X)|~rich(X))))&
(![X]:((patient(X)|~humble(X))=>(~creative(X)<~>~kind(X))))&
(![X]:((~patient(X)<~>~creative(X))=>(~rich(X)|kind(X))))&
((?[X]:((wise(X)<~>happy(X))))=>(?[X]:((kind(X)<~>wise(X)))))&
(((kind(lucy)&strong(lucy)))=>((curious(fred)... | ~creative(john) | [
"p2",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6203590457039264708762987
% SZS output start Proof for 6203590457039264708762987
3. ! [X0] : ((~humble(X0) | patient(X0)) => (~creative(X0) <~> ~kind(X0))) [input p2]
13. ? [X0] : (~kind(X0) | strong(X0)) <=> (~creative(john) & ~kind(john)) [input p12]
19. ~curious(john) & patient(john) [... | 0 |
If john is not funny or not old then someone is not curious and vice versa.
Everyone who is funny or patient is creative and vice versa.
Everyone who is both not funny and not kind is either brave or wise.
If someone is not brave then alice is not happy and vice versa.
Everyone who is not strong or not old is not creat... | John is not funny. | neutral | (((~funny(john)|~old(john)))<=>(?[X]:(~curious(X))))&
(![X]:((funny(X)|patient(X))<=>creative(X)))&
(![X]:((~funny(X)&~kind(X))=>(brave(X)<~>wise(X))))&
((?[X]:(~brave(X)))<=>(~happy(alice)))&
(![X]:((~strong(X)|~old(X))=>~creative(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~old(X)<~>rich(X))))&
(![X]:((~creative(X)&~t... | ~funny(john) | [] | null | 0 |
Everyone who is not kind or not brave is strong and vice versa.
Everyone who is strong or not old is either wise or curious.
Everyone who is not tall or kind is old or not generous and vice versa.
If fred is both humble and not happy then lucy is not wise.
If someone is patient then alice is wise or not brave.
If someo... | Alice is strong. | entailment | (![X]:((~kind(X)|~brave(X))<=>strong(X)))&
(![X]:((strong(X)|~old(X))=>(wise(X)<~>curious(X))))&
(![X]:((~tall(X)|kind(X))<=>(old(X)|~generous(X))))&
(((humble(fred)&~happy(fred)))=>(~wise(lucy)))&
((?[X]:(patient(X)))=>((wise(alice)|~brave(alice))))&
((?[X]:((tall(X)<~>~brave(X))))<=>(?[X]:((~quiet(X)&~generous(X)))))... | strong(alice) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4232509841572817667706592
% SZS output start Proof for 4232509841572817667706592
1. ! [X0] : ((~brave(X0) | ~kind(X0)) <=> strong(X0)) [input p0]
12. ! [X0] : (kind(X0) <=> (~curious(X0) & ~brave(X0))) [input p11]
24. ~strong(alice) [input hypothesis]
42. ! [X0] : (((~brave(X0) | ~kind(X0... | 0 |
Everyone who is humble or old is either not funny or not kind.
If susan is tall or not funny then fred is not generous or not brave.
Everyone who is both not brave and not patient is either rich or patient.
Everyone who is either not wise or not quiet is either not rich or calm.
Everyone who is not rich is either humbl... | Mary is not rich. | contradiction | (![X]:((humble(X)|old(X))=>(~funny(X)<~>~kind(X))))&
(((tall(susan)|~funny(susan)))=>((~generous(fred)|~brave(fred))))&
(![X]:((~brave(X)&~patient(X))=>(rich(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~rich(X)<~>calm(X))))&
(![X]:(~rich(X)=>(humble(X)<~>creative(X))))&
(![X]:((funny(X)|tall(X))=>(wise(X)|gener... | ~rich(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 660484280059245642619699
% SZS output start Proof for 660484280059245642619699
19. rich(mary) & ~quiet(mary) [input p18]
25. ~rich(mary) [input hypothesis]
122. rich(mary) [cnf transformation 19]
132. ~rich(mary) [cnf transformation 25]
237. $false [subsumption resolution 132,122]
% SZS o... | 0 |
If john is either not brave or not wise then alice is brave and vice versa.
Everyone who is both quiet and not rich is not brave or not strong.
Everyone who is either strong or not brave is tall or humble and vice versa.
Everyone who is not quiet is both patient and happy and vice versa.
Everyone who is both rich and c... | Lucy is kind. | contradiction | (((~brave(john)<~>~wise(john)))<=>(brave(alice)))&
(![X]:((quiet(X)&~rich(X))=>(~brave(X)|~strong(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(tall(X)|humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)&happy(X))))&
(![X]:((rich(X)&creative(X))<=>(~old(X)|~patient(X))))&
((?[X]:((~creative(X)<~>~brave(X))))<=>(?[X]:((~curious(X)&... | kind(lucy) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8800375806160449351180284
% SZS output start Proof for 8800375806160449351180284
12. ! [X0] : ((strong(X0) | kind(X0)) => (creative(X0) & happy(X0))) [input p11]
19. rich(lucy) & ~happy(lucy) [input p18]
25. kind(lucy) [input hypothesis]
35. ! [X0] : ((creative(X0) & happy(X0)) | (~strong... | 0 |
If someone is not quiet then alice is either quiet or curious.
Everyone who is patient or not brave is both not calm and rich and vice versa.
If someone is not patient then lucy is humble or not wise and vice versa.
Everyone who is not quiet is both not quiet and generous and vice versa.
Everyone who is not funny is ei... | Alice is not old. | neutral | ((?[X]:(~quiet(X)))=>((quiet(alice)<~>curious(alice))))&
(![X]:((patient(X)|~brave(X))<=>(~calm(X)&rich(X))))&
((?[X]:(~patient(X)))<=>((humble(lucy)|~wise(lucy))))&
(![X]:(~quiet(X)<=>(~quiet(X)&generous(X))))&
(![X]:(~funny(X)<=>(~generous(X)<~>~happy(X))))&
((?[X]:((~kind(X)|~curious(X))))<=>(?[X]:((~wise(X)&funny(X... | ~old(alice) | [] | null | 0 |
If someone is either brave or not rich then someone is both quiet and not strong and vice versa.
If someone is kind or not creative then mary is not quiet or old and vice versa.
If someone is both not humble and not strong then paul is not quiet and vice versa.
Everyone who is both not quiet and happy is both generous ... | Susan is happy. | neutral | ((?[X]:((brave(X)<~>~rich(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
((?[X]:((kind(X)|~creative(X))))<=>((~quiet(mary)|old(mary))))&
((?[X]:((~humble(X)&~strong(X))))<=>(~quiet(paul)))&
(![X]:((~quiet(X)&happy(X))<=>(generous(X)&~quiet(X))))&
((?[X]:(~rich(X)))=>((~calm(paul)&~old(paul))))&
(![X]:((old(X)|patient(X))<=>(... | happy(susan) | [] | null | 0 |
Everyone who is not wise is patient or not tall.
If someone is either not kind or not rich then mary is both funny and not rich and vice versa.
If someone is either brave or not quiet then mary is not calm and vice versa.
If someone is happy or not tall then someone is both not brave and not rich.
If lucy is both not q... | Lucy is creative. | entailment | (![X]:(~wise(X)=>(patient(X)|~tall(X))))&
((?[X]:((~kind(X)<~>~rich(X))))<=>((funny(mary)&~rich(mary))))&
((?[X]:((brave(X)<~>~quiet(X))))<=>(~calm(mary)))&
((?[X]:((happy(X)|~tall(X))))=>(?[X]:((~brave(X)&~rich(X)))))&
(((~quiet(lucy)&~patient(lucy)))<=>(?[X]:((kind(X)<~>~funny(X)))))&
(![X]:(~calm(X)=>~creative(X)))&... | creative(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 404816424937316269537113
% SZS output start Proof for 404816424937316269537113
21. wise(lucy) & creative(lucy) [input p20]
25. ~creative(lucy) [input hypothesis]
142. creative(lucy) [cnf transformation 21]
149. ~creative(lucy) [cnf transformation 25]
394. $false [subsumption resolution 14... | 0 |
If lucy is either brave or quiet then paul is tall.
Everyone who is not humble or not tall is not rich or kind and vice versa.
If lucy is curious or not funny then someone is not strong or not quiet and vice versa.
Everyone who is both funny and not patient is not happy and vice versa.
Everyone who is rich is either ki... | Paul is quiet. | neutral | (((brave(lucy)<~>quiet(lucy)))=>(tall(paul)))&
(![X]:((~humble(X)|~tall(X))<=>(~rich(X)|kind(X))))&
(((curious(lucy)|~funny(lucy)))<=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((funny(X)&~patient(X))<=>~happy(X)))&
(![X]:(rich(X)=>(kind(X)<~>~humble(X))))&
(![X]:((strong(X)|generous(X))=>~funny(X)))&
(![X]:((~patient(X)|... | quiet(paul) | [] | null | 0 |
If someone is either not brave or funny then someone is patient.
If someone is either not wise or rich then paul is either not old or curious.
Everyone who is both not strong and rich is not rich or quiet.
If someone is patient or not funny then paul is both not generous and quiet and vice versa.
If paul is not generou... | Lucy is patient. | contradiction | ((?[X]:((~brave(X)<~>funny(X))))=>(?[X]:(patient(X))))&
((?[X]:((~wise(X)<~>rich(X))))=>((~old(paul)<~>curious(paul))))&
(![X]:((~strong(X)&rich(X))=>(~rich(X)|quiet(X))))&
((?[X]:((patient(X)|~funny(X))))<=>((~generous(paul)&quiet(paul))))&
((~generous(paul))<=>(old(mary)))&
((?[X]:((~generous(X)<~>~funny(X))))=>(?[X]... | patient(lucy) | [
"p3",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2843130632782966590797763
% SZS output start Proof for 2843130632782966590797763
4. ? [X0] : (~funny(X0) | patient(X0)) <=> (quiet(paul) & ~generous(paul)) [input p3]
8. ! [X0] : ((quiet(X0) | calm(X0)) => (patient(X0) & rich(X0))) [input p7]
11. ! [X0] : ((quiet(X0) | happy(X0)) => (pati... | 0 |
Everyone who is both patient and not patient is not tall or not curious and vice versa.
Everyone who is not strong is not rich or old and vice versa.
If lucy is not old or not strong then fred is creative.
If mary is not creative or not rich then fred is both not tall and wise and vice versa.
If lucy is happy or not ge... | Alice is rich. | neutral | (![X]:((patient(X)&~patient(X))<=>(~tall(X)|~curious(X))))&
(![X]:(~strong(X)<=>(~rich(X)|old(X))))&
(((~old(lucy)|~strong(lucy)))=>(creative(fred)))&
(((~creative(mary)|~rich(mary)))<=>((~tall(fred)&wise(fred))))&
(((happy(lucy)|~generous(lucy)))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((funny(X)<~>wise(X))<=>(calm(X... | rich(alice) | [] | null | 0 |
Everyone who is not rich or not old is old or wise and vice versa.
Everyone who is generous or not creative is either not brave or wise.
If mary is not tall or not creative then paul is wise or not funny and vice versa.
Everyone who is either curious or humble is both rich and not rich.
Everyone who is both wise and no... | Mary is curious. | contradiction | (![X]:((~rich(X)|~old(X))<=>(old(X)|wise(X))))&
(![X]:((generous(X)|~creative(X))=>(~brave(X)<~>wise(X))))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:(~curious(X)))=>(?[X]:(kind(X)... | curious(mary) | [
"p0",
"p3",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6684226238496241564789899
% SZS output start Proof for 6684226238496241564789899
1. ! [X0] : ((~old(X0) | ~rich(X0)) <=> (wise(X0) | old(X0))) [input p0]
4. ! [X0] : ((curious(X0) <~> humble(X0)) => (~rich(X0) & rich(X0))) [input p3]
9. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (creative... | 0 |
Everyone who is either not tall or not curious is not strong and vice versa.
Everyone who is both humble and curious is both not patient and not humble.
Everyone who is not strong is either brave or not strong.
Everyone who is both kind and not happy is either generous or not generous and vice versa.
Everyone who is bo... | Lucy is not kind. | contradiction | (![X]:((~tall(X)<~>~curious(X))<=>~strong(X)))&
(![X]:((humble(X)&curious(X))=>(~patient(X)&~humble(X))))&
(![X]:(~strong(X)=>(brave(X)<~>~strong(X))))&
(![X]:((kind(X)&~happy(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((calm(X)&~brave(X))=>(~tall(X)<~>~calm(X))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((~happy(X)<... | ~kind(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7390619024536970330866098
% SZS output start Proof for 7390619024536970330866098
4. ! [X0] : ((~happy(X0) & kind(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p3]
23. ~kind(lucy) [input hypothesis]
43. ! [X0] : (((~happy(X0) & kind(X0)) | ((generous(X0) | generous(X0)) & (~generous(X0... | 0 |
If susan is not generous then someone is either happy or wise.
Everyone who is rich is tall.
Everyone who is not generous or not quiet is both kind and not tall and vice versa.
If someone is both tall and rich then susan is both creative and not kind and vice versa.
Everyone who is not happy or generous is happy and vi... | John is not creative. | contradiction | ((~generous(susan))=>(?[X]:((happy(X)<~>wise(X)))))&
(![X]:(rich(X)=>tall(X)))&
(![X]:((~generous(X)|~quiet(X))<=>(kind(X)&~tall(X))))&
((?[X]:((tall(X)&rich(X))))<=>((creative(susan)&~kind(susan))))&
(![X]:((~happy(X)|generous(X))<=>happy(X)))&
((?[X]:((~kind(X)<~>curious(X))))<=>(?[X]:(~generous(X))))&
((~brave(john)... | ~creative(john) | [
"p2",
"p4",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3085573342770731458229230
% SZS output start Proof for 3085573342770731458229230
3. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~tall(X0) & kind(X0))) [input p2]
5. ! [X0] : ((generous(X0) | ~happy(X0)) <=> happy(X0)) [input p4]
6. ? [X0] : (~kind(X0) <~> curious(X0)) <=> ? [X0] : ~genero... | 0 |
Everyone who is either wise or not kind is not brave and vice versa. Everyone who is either not funny or not calm is both generous and not kind and vice versa. If someone is not patient then someone is both not quiet and calm and vice versa. If someone is either not happy or not old then paul is both kind and not curio... | Susan is not humble. | entailment | (![X]:((wise(X)<~>~kind(X))<=>~brave(X)))&
(![X]:((~funny(X)<~>~calm(X))<=>(generous(X)&~kind(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((~happy(X)<~>~old(X))))<=>((kind(paul)&~curious(paul))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((kind(X)<~>~calm(X)))))&
((?[X]:(kind(X)))=>((~rich(lucy)... | ~humble(susan) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5754372811307710399877133
% SZS output start Proof for 5754372811307710399877133
1. ! [X0] : ((wise(X0) <~> ~kind(X0)) <=> ~brave(X0)) [input p0]
2. ! [X0] : ((~funny(X0) <~> ~calm(X0)) <=> (~kind(X0) & generous(X0))) [input p1]
3. ? [X0] : ~patient(X0) <=> ? [X0] : (calm(X0) & ~quiet(X0)... | 0 |
If someone is not creative then mary is brave or not creative. Everyone who is not strong is both kind and calm and vice versa. If john is not humble or funny then someone is either funny or happy and vice versa. If someone is both strong and not creative then someone is humble. If john is not quiet or not brave then l... | Lucy is quiet. | entailment | ((?[X]:(~creative(X)))=>((brave(mary)|~creative(mary))))&
(![X]:(~strong(X)<=>(kind(X)&calm(X))))&
(((~humble(john)|funny(john)))<=>(?[X]:((funny(X)<~>happy(X)))))&
((?[X]:((strong(X)&~creative(X))))=>(?[X]:(humble(X))))&
(((~quiet(john)|~brave(john)))<=>((brave(lucy)&calm(lucy))))&
(((~rich(susan)<~>~old(susan)))<=>((... | quiet(lucy) | [
"p4",
"p10",
"p11",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8987643583701329003365298
% SZS output start Proof for 8987643583701329003365298
5. (~brave(john) | ~quiet(john)) <=> (calm(lucy) & brave(lucy)) [input p4]
11. ! [X0] : ((strong(X0) & quiet(X0)) <=> (quiet(X0) | patient(X0))) [input p10]
12. ! [X0] : ((wise(X0) | curious(X0)) => patient(X... | 0 |
If susan is kind or calm then someone is not wise and vice versa.
Everyone who is either not generous or humble is either not wise or not kind and vice versa.
Everyone who is not creative is both funny and creative.
Everyone who is not funny is either strong or not rich and vice versa.
If lucy is both rich and not happ... | Susan is strong. | contradiction | (((kind(susan)|calm(susan)))<=>(?[X]:(~wise(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(~wise(X)<~>~kind(X))))&
(![X]:(~creative(X)=>(funny(X)&creative(X))))&
(![X]:(~funny(X)<=>(strong(X)<~>~rich(X))))&
(((rich(lucy)&~happy(lucy)))=>(?[X]:((~calm(X)|humble(X)))))&
(((~brave(lucy)&~curious(lucy)))<=>(?[X]:((generous(X)... | strong(susan) | [
"p0",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3062533126884719398470182
% SZS output start Proof for 3062533126884719398470182
1. (calm(susan) | kind(susan)) <=> ? [X0] : ~wise(X0) [input p0]
10. ! [X0] : ((~old(X0) & ~kind(X0)) <=> strong(X0)) [input p9]
11. ! [X0] : ((strong(X0) | tall(X0)) <=> (humble(X0) & ~calm(X0))) [input p10]... | 0 |
Everyone who is tall or brave is wise or tall and vice versa.
If someone is not creative or old then someone is curious.
Everyone who is kind or not brave is either not brave or patient and vice versa.
Everyone who is not kind is generous or funny and vice versa.
If someone is either happy or creative then someone is n... | Lucy is not patient. | entailment | (![X]:((tall(X)|brave(X))<=>(wise(X)|tall(X))))&
((?[X]:((~creative(X)|old(X))))=>(?[X]:(curious(X))))&
(![X]:((kind(X)|~brave(X))<=>(~brave(X)<~>patient(X))))&
(![X]:(~kind(X)<=>(generous(X)|funny(X))))&
((?[X]:((happy(X)<~>creative(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~generous(X)<~>kind(X))=>(happy(X)|~humble(X))))&... | ~patient(lucy) | [
"p0",
"p2",
"p8",
"p9",
"p11",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2271994992452079745715958
% SZS output start Proof for 2271994992452079745715958
1. ! [X0] : ((brave(X0) | tall(X0)) <=> (tall(X0) | wise(X0))) [input p0]
3. ! [X0] : ((~brave(X0) | kind(X0)) <=> (~brave(X0) <~> patient(X0))) [input p2]
9. ! [X0] : (humble(X0) <=> (calm(X0) | ~creative(X0... | 0 |
If susan is either old or curious then john is either patient or not old and vice versa. Everyone who is either funny or generous is either kind or quiet and vice versa. If mary is calm then mary is not humble. If fred is either not tall or brave then someone is both patient and not patient and vice versa. Everyone who... | Susan is wise. | neutral | (((old(susan)<~>curious(susan)))<=>((patient(john)<~>~old(john))))&
(![X]:((funny(X)<~>generous(X))<=>(kind(X)<~>quiet(X))))&
((calm(mary))=>(~humble(mary)))&
(((~tall(fred)<~>brave(fred)))<=>(?[X]:((patient(X)&~patient(X)))))&
(![X]:(strong(X)<=>(brave(X)|humble(X))))&
((?[X]:(~humble(X)))<=>(?[X]:(funny(X))))&
(![X]:... | wise(susan) | [] | null | 0 |
Everyone who is kind or rich is tall or not calm and vice versa. Everyone who is curious or brave is not patient and vice versa. Everyone who is not brave or patient is either not rich or not creative. Everyone who is either brave or calm is curious. Everyone who is both strong and rich is quiet or generous. If lucy is... | Susan is calm. | neutral | (![X]:((kind(X)|rich(X))<=>(tall(X)|~calm(X))))&
(![X]:((curious(X)|brave(X))<=>~patient(X)))&
(![X]:((~brave(X)|patient(X))=>(~rich(X)<~>~creative(X))))&
(![X]:((brave(X)<~>calm(X))=>curious(X)))&
(![X]:((strong(X)&rich(X))=>(quiet(X)|generous(X))))&
(((~creative(lucy)|tall(lucy)))<=>((happy(susan)<~>kind(susan))))&
(... | calm(susan) | [] | null | 0 |
Everyone who is both not tall and not generous is both calm and quiet.
If lucy is not creative or patient then paul is quiet or kind.
If someone is either not humble or not creative then someone is not strong and vice versa.
If someone is either not strong or quiet then someone is old and vice versa.
Everyone who is bo... | Paul is humble. | contradiction | (![X]:((~tall(X)&~generous(X))=>(calm(X)&quiet(X))))&
(((~creative(lucy)|patient(lucy)))=>((quiet(paul)|kind(paul))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~strong(X)<~>quiet(X))))<=>(?[X]:(old(X))))&
(![X]:((~rich(X)&~happy(X))=>(~rich(X)|brave(X))))&
((?[X]:((generous(X)<~>calm(X))))... | humble(paul) | [
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8583604590852343178656342
% SZS output start Proof for 8583604590852343178656342
7. ! [X0] : ((brave(X0) | humble(X0)) <=> (~generous(X0) & happy(X0))) [input p6]
8. ! [X0] : (funny(X0) <=> (~funny(X0) | wise(X0))) [input p7]
10. ! [X0] : (wise(X0) <=> (generous(X0) & curious(X0))) [input... | 0 |
Everyone who is both not rich and not wise is either creative or curious and vice versa.
If someone is wise or not patient then mary is not tall and vice versa.
If someone is either curious or strong then john is both not kind and not quiet.
If someone is either strong or not brave then someone is humble or calm.
If so... | Mary is strong. | neutral | (![X]:((~rich(X)&~wise(X))<=>(creative(X)<~>curious(X))))&
((?[X]:((wise(X)|~patient(X))))<=>(~tall(mary)))&
((?[X]:((curious(X)<~>strong(X))))=>((~kind(john)&~quiet(john))))&
((?[X]:((strong(X)<~>~brave(X))))=>(?[X]:((humble(X)|calm(X)))))&
((?[X]:((~funny(X)<~>~quiet(X))))=>(calm(susan)))&
((?[X]:(~tall(X)))=>(?[X]:(... | strong(mary) | [] | null | 0 |
Everyone who is either creative or not funny is curious or not brave.
If alice is not calm then fred is kind or brave and vice versa.
If someone is not rich or not curious then someone is brave and vice versa.
If paul is curious or not funny then someone is patient.
If someone is either not patient or not funny then so... | Lucy is funny. | entailment | (![X]:((creative(X)<~>~funny(X))=>(curious(X)|~brave(X))))&
((~calm(alice))<=>((kind(fred)|brave(fred))))&
((?[X]:((~rich(X)|~curious(X))))<=>(?[X]:(brave(X))))&
(((curious(paul)|~funny(paul)))=>(?[X]:(patient(X))))&
((?[X]:((~patient(X)<~>~funny(X))))=>(?[X]:(happy(X))))&
(![X]:(tall(X)<=>(~funny(X)|~curious(X))))&
((... | funny(lucy) | [
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5211709656228269856522347
% SZS output start Proof for 5211709656228269856522347
6. ! [X0] : (tall(X0) <=> (~curious(X0) | ~funny(X0))) [input p5]
8. ? [X0] : tall(X0) <=> ? [X0] : (funny(X0) & ~funny(X0)) [input p7]
23. ~funny(lucy) [input hypothesis]
26. ? [X0] : tall(X0) <=> ? [X1] : (... | 0 |
Everyone who is wise or patient is both patient and not brave and vice versa.
If mary is either not creative or not generous then someone is both kind and patient.
Everyone who is funny or not old is both not rich and patient.
Everyone who is funny or not curious is patient or quiet and vice versa.
Everyone who is eith... | Mary is not creative. | entailment | (![X]:((wise(X)|patient(X))<=>(patient(X)&~brave(X))))&
(((~creative(mary)<~>~generous(mary)))=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((funny(X)|~old(X))=>(~rich(X)&patient(X))))&
(![X]:((funny(X)|~curious(X))<=>(patient(X)|quiet(X))))&
(![X]:((~patient(X)<~>happy(X))<=>old(X)))&
((?[X]:((~kind(X)&~brave(X))))=>(?[X]:(... | ~creative(mary) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 546962794894531225259359
% SZS output start Proof for 546962794894531225259359
10. ! [X0] : ((humble(X0) | creative(X0)) <=> (~old(X0) & brave(X0))) [input p9]
14. ! [X0] : (~old(X0) => (~creative(X0) & ~strong(X0))) [input p13]
24. creative(mary) [input hypothesis]
31. ! [X0] : ((~creati... | 0 |
If mary is both quiet and not old then susan is kind or not wise and vice versa.
If someone is either not funny or not generous then someone is not tall and vice versa.
Everyone who is both curious and funny is not wise.
If paul is either not brave or happy then lucy is not wise or not creative.
Everyone who is strong ... | Lucy is quiet. | entailment | (((quiet(mary)&~old(mary)))<=>((kind(susan)|~wise(susan))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:(~tall(X))))&
(![X]:((curious(X)&funny(X))=>~wise(X)))&
(((~brave(paul)<~>happy(paul)))=>((~wise(lucy)|~creative(lucy))))&
(![X]:(strong(X)=>~calm(X)))&
((?[X]:((curious(X)<~>old(X))))=>((generous(susan)|~wise(susa... | quiet(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 735964984422557822276697
% SZS output start Proof for 735964984422557822276697
13. ! [X0] : ((~quiet(X0) <~> strong(X0)) <=> strong(X0)) [input p12]
25. ~quiet(lucy) [input hypothesis]
62. ! [X0] : ((((~strong(X0) | quiet(X0)) & (strong(X0) | ~quiet(X0))) | ~strong(X0)) & (strong(X0) | ((... | 0 |
If lucy is either not patient or not kind then alice is both tall and strong and vice versa.
Everyone who is either wise or not wise is curious or strong and vice versa.
Everyone who is not generous is either rich or not tall and vice versa.
Everyone who is both not happy and not tall is both creative and brave and vic... | Paul is not funny. | entailment | (((~patient(lucy)<~>~kind(lucy)))<=>((tall(alice)&strong(alice))))&
(![X]:((wise(X)<~>~wise(X))<=>(curious(X)|strong(X))))&
(![X]:(~generous(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((~happy(X)&~tall(X))<=>(creative(X)&brave(X))))&
(![X]:((brave(X)&wise(X))<=>(quiet(X)&~humble(X))))&
(![X]:((~humble(X)|calm(X))<=>~calm(X)))&... | ~funny(paul) | [
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1596137974050316094564204
% SZS output start Proof for 1596137974050316094564204
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (~humble(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((calm(X0) | ~humble(X0)) <=> ~calm(X0)) [input p5]
8. (~brave(alice) & ~patient(alice)) <=> ? [X0] : (happy(X0) | ~ta... | 0 |
If mary is curious then paul is not happy.
Everyone who is generous or old is both not calm and generous and vice versa.
If someone is either not wise or happy then alice is not patient and vice versa.
Everyone who is either generous or old is rich and vice versa.
If lucy is both rich and not old then someone is not br... | Lucy is old. | neutral | ((curious(mary))=>(~happy(paul)))&
(![X]:((generous(X)|old(X))<=>(~calm(X)&generous(X))))&
((?[X]:((~wise(X)<~>happy(X))))<=>(~patient(alice)))&
(![X]:((generous(X)<~>old(X))<=>rich(X)))&
(((rich(lucy)&~old(lucy)))=>(?[X]:(~brave(X))))&
(![X]:((~brave(X)<~>~quiet(X))<=>old(X)))&
(![X]:((~brave(X)&wise(X))<=>(~funny(X)|... | old(lucy) | [] | null | 0 |
Everyone who is not calm is both not kind and patient and vice versa. Everyone who is not brave or curious is both tall and kind. Everyone who is both not calm and not humble is funny and vice versa. Everyone who is not creative or happy is brave. Everyone who is either not humble or wise is not kind or strong. Everyon... | Alice is brave. | neutral | (![X]:(~calm(X)<=>(~kind(X)&patient(X))))&
(![X]:((~brave(X)|curious(X))=>(tall(X)&kind(X))))&
(![X]:((~calm(X)&~humble(X))<=>funny(X)))&
(![X]:((~creative(X)|happy(X))=>brave(X)))&
(![X]:((~humble(X)<~>wise(X))=>(~kind(X)|strong(X))))&
(![X]:((~generous(X)<~>strong(X))<=>(~brave(X)&~wise(X))))&
(![X]:((~wise(X)<~>~pat... | brave(alice) | [] | null | 0 |
If lucy is both not kind and not strong then john is generous or not calm and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy ... | John is humble. | contradiction | (((~kind(lucy)&~strong(lucy)))<=>((generous(john)|~calm(john))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((curio... | humble(john) | [
"p4",
"p8",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8374688142551287659254016
% SZS output start Proof for 8374688142551287659254016
5. ! [X0] : ((old(X0) & happy(X0)) => (quiet(X0) | ~happy(X0))) [input p4]
9. ? [X0] : (generous(X0) | calm(X0)) => ? [X0] : ~old(X0) [input p8]
10. ! [X0] : ((funny(X0) | quiet(X0)) => (~patient(X0) <~> ~cal... | 0 |
If someone is either humble or not patient then someone is old or not kind.
Everyone who is both curious and not rich is either not curious or old and vice versa.
Everyone who is both not humble and old is both not patient and not brave and vice versa.
If someone is old or not quiet then someone is not generous and vic... | John is funny. | contradiction | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((curious(X)&~rich(X))<=>(~curious(X)<~>old(X))))&
(![X]:((~humble(X)&old(X))<=>(~patient(X)&~brave(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)|funny(X))))&
((?[X]:((brave(X)<~>wise... | funny(john) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3623197763072713904411846
% SZS output start Proof for 3623197763072713904411846
2. ! [X0] : ((~rich(X0) & curious(X0)) <=> (~curious(X0) <~> old(X0))) [input p1]
5. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> (funny(X0) | ~humble(X0))) [input p4]
6. ? [X0] : (brave(X0) <~> wise(X0)) =>... | 0 |
Everyone who is not curious is either not calm or not strong.
If john is both not patient and humble then someone is tall.
Everyone who is both quiet and strong is not tall or quiet.
Everyone who is not brave is strong and vice versa.
If fred is happy then fred is quiet.
If susan is either funny or tall then someone is... | Fred is humble. | neutral | (![X]:(~curious(X)=>(~calm(X)<~>~strong(X))))&
(((~patient(john)&humble(john)))=>(?[X]:(tall(X))))&
(![X]:((quiet(X)&strong(X))=>(~tall(X)|quiet(X))))&
(![X]:(~brave(X)<=>strong(X)))&
((happy(fred))=>(quiet(fred)))&
(((funny(susan)<~>tall(susan)))=>(?[X]:(~generous(X))))&
((~happy(paul))=>(?[X]:((~rich(X)&~creative(X))... | humble(fred) | [] | null | 0 |
If fred is both not generous and kind then alice is either not curious or tall and vice versa.
Everyone who is rich is generous.
Everyone who is both patient and not curious is curious.
If someone is either curious or not patient then mary is both not humble and not rich.
If someone is tall then someone is brave or ric... | Susan is not patient. | entailment | (((~generous(fred)&kind(fred)))<=>((~curious(alice)<~>tall(alice))))&
(![X]:(rich(X)=>generous(X)))&
(![X]:((patient(X)&~curious(X))=>curious(X)))&
((?[X]:((curious(X)<~>~patient(X))))=>((~humble(mary)&~rich(mary))))&
((?[X]:(tall(X)))=>(?[X]:((brave(X)|rich(X)))))&
((?[X]:((brave(X)&tall(X))))=>((generous(lucy)&old(lu... | ~patient(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4589507092884761267664576
% SZS output start Proof for 4589507092884761267664576
11. ! [X0] : ((creative(X0) | patient(X0)) => (generous(X0) & ~patient(X0))) [input p10]
25. patient(susan) [input hypothesis]
46. ! [X0] : ((generous(X0) & ~patient(X0)) | (~creative(X0) & ~patient(X0))) [en... | 0 |
If alice is not creative or not funny then someone is either not brave or not quiet and vice versa.
If alice is not patient or patient then someone is either old or quiet.
Everyone who is either humble or not humble is both generous and wise.
If someone is creative then fred is both wise and not brave and vice versa.
I... | Fred is not rich. | neutral | (((~creative(alice)|~funny(alice)))<=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(((~patient(alice)|patient(alice)))=>(?[X]:((old(X)<~>quiet(X)))))&
(![X]:((humble(X)<~>~humble(X))=>(generous(X)&wise(X))))&
((?[X]:(creative(X)))<=>((wise(fred)&~brave(fred))))&
(((calm(alice)|~quiet(alice)))<=>((happy(lucy)&curious(lucy))))&
((... | ~rich(fred) | [] | null | 0 |
Everyone who is either funny or strong is strong and vice versa.
Everyone who is either humble or strong is curious and vice versa.
Everyone who is either not humble or rich is both calm and strong and vice versa.
If someone is wise then lucy is either not calm or not old and vice versa.
Everyone who is either not gene... | Lucy is wise. | contradiction | (![X]:((funny(X)<~>strong(X))<=>strong(X)))&
(![X]:((humble(X)<~>strong(X))<=>curious(X)))&
(![X]:((~humble(X)<~>rich(X))<=>(calm(X)&strong(X))))&
((?[X]:(wise(X)))<=>((~calm(lucy)<~>~old(lucy))))&
(![X]:((~generous(X)<~>~quiet(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)|wise(X))))=>((kind(mary)<~>tall(mary))))&... | wise(lucy) | [
"p0",
"p3",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1943345022109653647943296
% SZS output start Proof for 1943345022109653647943296
1. ! [X0] : ((funny(X0) <~> strong(X0)) <=> strong(X0)) [input p0]
4. ? [X0] : wise(X0) <=> (~calm(lucy) <~> ~old(lucy)) [input p3]
13. ! [X0] : ((calm(X0) & tall(X0)) <=> (~funny(X0) | ~tall(X0))) [input p12... | 0 |
If paul is kind then mary is not curious or rich.
Everyone who is both rich and tall is not happy or tall.
If someone is not strong or strong then john is both not tall and not wise.
Everyone who is not patient is either old or curious.
Everyone who is happy or not wise is both not funny and old.
If someone is curious ... | Paul is patient. | entailment | ((kind(paul))=>((~curious(mary)|rich(mary))))&
(![X]:((rich(X)&tall(X))=>(~happy(X)|tall(X))))&
((?[X]:((~strong(X)|strong(X))))=>((~tall(john)&~wise(john))))&
(![X]:(~patient(X)=>(old(X)<~>curious(X))))&
(![X]:((happy(X)|~wise(X))=>(~funny(X)&old(X))))&
((?[X]:((curious(X)|~strong(X))))<=>((old(fred)<~>~patient(fred))... | patient(paul) | [
"p7",
"p10",
"p11",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5023972365016483467190519
% SZS output start Proof for 5023972365016483467190519
8. ! [X0] : (~quiet(X0) => (patient(X0) <~> rich(X0))) [input p7]
11. ! [X0] : (rich(X0) => (~old(X0) & ~tall(X0))) [input p10]
12. ! [X0] : (~quiet(X0) <=> (brave(X0) | ~patient(X0))) [input p11]
21. curious... | 0 |
Everyone who is both not brave and wise is not generous.
Everyone who is rich is both not curious and not rich and vice versa.
Everyone who is not quiet is brave and vice versa.
If someone is both old and not wise then someone is either calm or not calm and vice versa.
Everyone who is both not old and humble is tall.
E... | Paul is rich. | contradiction | (![X]:((~brave(X)&wise(X))=>~generous(X)))&
(![X]:(rich(X)<=>(~curious(X)&~rich(X))))&
(![X]:(~quiet(X)<=>brave(X)))&
((?[X]:((old(X)&~wise(X))))<=>(?[X]:((calm(X)<~>~calm(X)))))&
(![X]:((~old(X)&humble(X))=>tall(X)))&
(![X]:((~kind(X)<~>~patient(X))<=>(happy(X)<~>calm(X))))&
(![X]:((quiet(X)|~funny(X))<=>(~creative(X)... | rich(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 773497889066759916882639
% SZS output start Proof for 773497889066759916882639
2. ! [X0] : (rich(X0) <=> (~rich(X0) & ~curious(X0))) [input p1]
21. rich(paul) [input hypothesis]
32. ! [X0] : ((rich(X0) | (rich(X0) | curious(X0))) & ((~rich(X0) & ~curious(X0)) | ~rich(X0))) [nnf transforma... | 0 |
If mary is funny or not rich then someone is not strong.
Everyone who is both patient and not curious is either not humble or tall.
If susan is both not old and not strong then someone is not brave or not patient and vice versa.
If alice is both patient and not patient then someone is tall or creative and vice versa.
E... | Mary is not brave. | contradiction | (((funny(mary)|~rich(mary)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~humble(X)<~>tall(X))))&
(((~old(susan)&~strong(susan)))<=>(?[X]:((~brave(X)|~patient(X)))))&
(((patient(alice)&~patient(alice)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((~rich(X)|~calm(X))=>rich(X)))&
(![X]:((wise(X)<~>kind(X))<=>(... | ~brave(mary) | [
"p2",
"p3",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8260090160289983320551271
% SZS output start Proof for 8260090160289983320551271
3. (~strong(susan) & ~old(susan)) <=> ? [X0] : (~patient(X0) | ~brave(X0)) [input p2]
4. (~patient(alice) & patient(alice)) <=> ? [X0] : (creative(X0) | tall(X0)) [input p3]
13. (creative(mary) & ~wise(mary))... | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is old is rich and vice versa.
Everyone who is brave or happy is wise and vice versa.
If alice is both old and not creative then mary is not calm or not strong.
Everyone who is curious is creative and vice versa.
Everyone who is not happy i... | Fred is not happy. | contradiction | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:(old(X)<=>rich(X)))&
(![X]:((brave(X)|happy(X))<=>wise(X)))&
(((old(alice)&~creative(alice)))=>((~calm(mary)|~strong(mary))))&
(![X]:(curious(X)<=>creative(X)))&
(![X]:(~happy(X)=>(~rich(X)&~generous(X))))&
((creative(mary))=>(?[X]:((old(X)<~>~rich(X)))))&
(![X]:((cur... | ~happy(fred) | [
"p1",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 34372932801086847674345
% SZS output start Proof for 34372932801086847674345
2. ! [X0] : (old(X0) <=> rich(X0)) [input p1]
6. ! [X0] : (~happy(X0) => (~generous(X0) & ~rich(X0))) [input p5]
23. old(fred) [input p22]
24. ~happy(fred) [input hypothesis]
32. ! [X0] : ((~generous(X0) & ~rich(... | 0 |
If someone is happy then someone is strong or kind and vice versa.
Everyone who is both not humble and not patient is rich or funny and vice versa.
If john is wise or not curious then john is both not old and not rich and vice versa.
Everyone who is either not wise or old is kind or not quiet.
If someone is either not ... | Paul is not humble. | entailment | ((?[X]:(happy(X)))<=>(?[X]:((strong(X)|kind(X)))))&
(![X]:((~humble(X)&~patient(X))<=>(rich(X)|funny(X))))&
(((wise(john)|~curious(john)))<=>((~old(john)&~rich(john))))&
(![X]:((~wise(X)<~>old(X))=>(kind(X)|~quiet(X))))&
((?[X]:((~calm(X)<~>~creative(X))))<=>(?[X]:(~kind(X))))&
((calm(alice))<=>(?[X]:((~curious(X)&~hap... | ~humble(paul) | [
"p1",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 700740527000469313737184
% SZS output start Proof for 700740527000469313737184
2. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (funny(X0) | rich(X0))) [input p1]
14. ! [X0] : ((funny(X0) & old(X0)) <=> calm(X0)) [input p13]
16. funny(paul) | calm(paul) [input p15]
24. humble(paul) [input hy... | 0 |
Everyone who is wise is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is curious or creative is tall.
Everyone who is generous is curious and vice versa... | Fred is not brave. | neutral | (![X]:(wise(X)<=>(tall(X)&~rich(X))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:((~generous(X)&~calm(X))<=>(~happy(X)|~generous(X))))&
(![... | ~brave(fred) | [] | null | 0 |
Everyone who is both quiet and creative is generous or not strong.
If someone is both not patient and funny then fred is either not happy or calm.
Everyone who is not generous is both kind and not curious and vice versa.
If someone is not humble or strong then paul is both not patient and not wise.
If someone is quiet ... | Fred is strong. | contradiction | (![X]:((quiet(X)&creative(X))=>(generous(X)|~strong(X))))&
((?[X]:((~patient(X)&funny(X))))=>((~happy(fred)<~>calm(fred))))&
(![X]:(~generous(X)<=>(kind(X)&~curious(X))))&
((?[X]:((~humble(X)|strong(X))))=>((~patient(paul)&~wise(paul))))&
((?[X]:((quiet(X)|~wise(X))))=>(?[X]:((~rich(X)&generous(X)))))&
((happy(john))=>... | strong(fred) | [
"p2",
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8532382188639364220201314
% SZS output start Proof for 8532382188639364220201314
3. ! [X0] : (~generous(X0) <=> (~curious(X0) & kind(X0))) [input p2]
4. ? [X0] : (strong(X0) | ~humble(X0)) => (~wise(paul) & ~patient(paul)) [input p3]
5. ? [X0] : (~wise(X0) | quiet(X0)) => ? [X0] : (genero... | 0 |
If someone is not funny then alice is humble or happy and vice versa.
Everyone who is both tall and not patient is calm or tall.
If someone is quiet or not creative then paul is brave or curious.
Everyone who is both happy and rich is not strong.
If susan is not brave then alice is both creative and rich and vice versa... | Mary is not generous. | contradiction | ((?[X]:(~funny(X)))<=>((humble(alice)|happy(alice))))&
(![X]:((tall(X)&~patient(X))=>(calm(X)|tall(X))))&
((?[X]:((quiet(X)|~creative(X))))=>((brave(paul)|curious(paul))))&
(![X]:((happy(X)&rich(X))=>~strong(X)))&
((~brave(susan))<=>((creative(alice)&rich(alice))))&
(![X]:((strong(X)|~calm(X))<=>(~humble(X)&~rich(X))))... | ~generous(mary) | [
"p11",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8408147864045604078374642
% SZS output start Proof for 8408147864045604078374642
12. ! [X0] : ((~rich(X0) | creative(X0)) <=> generous(X0)) [input p11]
21. quiet(mary) | creative(mary) [input p20]
22. ~rich(mary) | ~quiet(mary) [input p21]
25. ~generous(mary) [input hypothesis]
58. ! [X0]... | 0 |
Everyone who is not generous is both not creative and brave and vice versa.
If someone is both generous and not funny then someone is humble and vice versa.
If someone is either curious or not old then someone is tall or not creative.
If fred is old then someone is both not old and not curious.
If paul is either funny ... | Fred is tall. | neutral | (![X]:(~generous(X)<=>(~creative(X)&brave(X))))&
((?[X]:((generous(X)&~funny(X))))<=>(?[X]:(humble(X))))&
((?[X]:((curious(X)<~>~old(X))))=>(?[X]:((tall(X)|~creative(X)))))&
((old(fred))=>(?[X]:((~old(X)&~curious(X)))))&
(((funny(paul)<~>~kind(paul)))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
(((wise(mary)|~funny(mary)))<=... | tall(fred) | [] | null | 0 |
If someone is not humble then paul is either not patient or curious.
Everyone who is both not kind and curious is patient or funny.
Everyone who is old is not curious and vice versa.
Everyone who is not old is not funny.
Everyone who is quiet is both not old and not strong.
If someone is happy or brave then someone is ... | Lucy is quiet. | contradiction | ((?[X]:(~humble(X)))=>((~patient(paul)<~>curious(paul))))&
(![X]:((~kind(X)&curious(X))=>(patient(X)|funny(X))))&
(![X]:(old(X)<=>~curious(X)))&
(![X]:(~old(X)=>~funny(X)))&
(![X]:(quiet(X)=>(~old(X)&~strong(X))))&
((?[X]:((happy(X)|brave(X))))=>(?[X]:((creative(X)<~>old(X)))))&
(![X]:((kind(X)<~>~rich(X))<=>(~strong(X... | quiet(lucy) | [
"p4",
"p6",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1643752334184494742813090
% SZS output start Proof for 1643752334184494742813090
5. ! [X0] : (quiet(X0) => (~strong(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((kind(X0) <~> ~rich(X0)) <=> (~strong(X0) <~> wise(X0))) [input p6]
9. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> (~rich(X0) | ~kind(X0... | 0 |
Everyone who is creative or brave is either not tall or old and vice versa.
If someone is not strong or old then someone is either curious or not creative.
If someone is calm then john is not humble and vice versa.
If someone is quiet or old then someone is both not tall and calm.
Everyone who is not wise is either str... | John is old. | entailment | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((~strong(X)|old(X))))=>(?[X]:((curious(X)<~>~creative(X)))))&
((?[X]:(calm(X)))<=>(~humble(john)))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:(~wise(X)<=>(strong(X)<~>~quiet(X))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X... | old(john) | [
"p2",
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7017138311847254460416111
% SZS output start Proof for 7017138311847254460416111
3. ? [X0] : calm(X0) <=> ~humble(john) [input p2]
4. ? [X0] : (old(X0) | quiet(X0)) => ? [X0] : (calm(X0) & ~tall(X0)) [input p3]
8. (~old(john) | ~rich(john)) <=> (~calm(mary) & quiet(mary)) [input p7]
9. ! ... | 0 |
Everyone who is rich or curious is not funny.
If paul is not tall or not rich then someone is either tall or kind and vice versa.
Everyone who is either not curious or humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humb... | Lucy is not rich. | entailment | (![X]:((rich(X)|curious(X))=>~funny(X)))&
(((~tall(paul)|~rich(paul)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
... | ~rich(lucy) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7348175851770097806205305
% SZS output start Proof for 7348175851770097806205305
1. ! [X0] : ((curious(X0) | rich(X0)) => ~funny(X0)) [input p0]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. ! [X0] : ((wise(X0) & creative(X0)) <=> (strong(X0) | ~funny(X0))) [input... | 0 |
Everyone who is either curious or creative is both funny and happy.
If someone is either old or not kind then alice is either not humble or humble and vice versa.
Everyone who is not tall is either brave or not rich.
Everyone who is either curious or not creative is both old and brave and vice versa.
Everyone who is no... | Alice is creative. | contradiction | (![X]:((curious(X)<~>creative(X))=>(funny(X)&happy(X))))&
((?[X]:((old(X)<~>~kind(X))))<=>((~humble(alice)<~>humble(alice))))&
(![X]:(~tall(X)=>(brave(X)<~>~rich(X))))&
(![X]:((curious(X)<~>~creative(X))<=>(old(X)&brave(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~patient(X)|~strong(X))))&
(((humble(john)|~rich(john)))=... | creative(alice) | [
"p7",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4694520589580870310753084
% SZS output start Proof for 4694520589580870310753084
8. ! [X0] : (~kind(X0) => (~brave(X0) | ~creative(X0))) [input p7]
15. ! [X0] : ((kind(X0) <~> ~brave(X0)) <=> ~humble(X0)) [input p14]
16. ! [X0] : ((humble(X0) | ~old(X0)) <=> brave(X0)) [input p15]
19. hum... | 0 |
Everyone who is not curious or not happy is not humble and vice versa. Everyone who is either not humble or happy is either not brave or not patient. Everyone who is not happy is calm. If someone is both not humble and kind then someone is either funny or not funny. Everyone who is either old or wise is either calm or ... | Alice is not patient. | contradiction | (![X]:((~curious(X)|~happy(X))<=>~humble(X)))&
(![X]:((~humble(X)<~>happy(X))=>(~brave(X)<~>~patient(X))))&
(![X]:(~happy(X)=>calm(X)))&
((?[X]:((~humble(X)&kind(X))))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:((old(X)<~>wise(X))<=>(calm(X)<~>~calm(X))))&
((?[X]:((kind(X)&~funny(X))))<=>(?[X]:((quiet(X)&~rich(X)))))&
((... | ~patient(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3529945169902797638832802
% SZS output start Proof for 3529945169902797638832802
10. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p9]
22. ~patient(alice) [input hypothesis]
52. ! [X0] : (((~quiet(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (quiet(X0) & patient(X0... | 0 |
Everyone who is either not curious or not creative is old or curious.
If someone is either strong or not quiet then alice is both creative and not patient and vice versa.
Everyone who is creative is generous.
If fred is either not kind or strong then someone is either happy or old and vice versa.
Everyone who is kind o... | Mary is not creative. | neutral | (![X]:((~curious(X)<~>~creative(X))=>(old(X)|curious(X))))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((creative(alice)&~patient(alice))))&
(![X]:(creative(X)=>generous(X)))&
(((~kind(fred)<~>strong(fred)))<=>(?[X]:((happy(X)<~>old(X)))))&
(![X]:((kind(X)|humble(X))<=>(curious(X)<~>strong(X))))&
(![X]:((~creative(X)<~>funny(... | ~creative(mary) | [] | null | 0 |
Everyone who is either quiet or calm is either happy or not creative and vice versa. If alice is either strong or not happy then someone is not generous. If someone is patient then someone is old. Everyone who is either humble or brave is kind or not generous. Everyone who is wise or not brave is either not tall or wis... | Paul is patient. | neutral | (![X]:((quiet(X)<~>calm(X))<=>(happy(X)<~>~creative(X))))&
(((strong(alice)<~>~happy(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(patient(X)))=>(?[X]:(old(X))))&
(![X]:((humble(X)<~>brave(X))=>(kind(X)|~generous(X))))&
(![X]:((wise(X)|~brave(X))<=>(~tall(X)<~>wise(X))))&
((?[X]:((~kind(X)<~>rich(X))))<=>(?[X]:((~patient(X... | patient(paul) | [] | null | 0 |
If someone is both tall and strong then alice is both not patient and not rich. Everyone who is both generous and not generous is either creative or not happy. If paul is both not tall and not old then someone is either not curious or not calm. Everyone who is calm is strong. Everyone who is not patient or not tall is ... | Alice is brave. | contradiction | ((?[X]:((tall(X)&strong(X))))=>((~patient(alice)&~rich(alice))))&
(![X]:((generous(X)&~generous(X))=>(creative(X)<~>~happy(X))))&
(((~tall(paul)&~old(paul)))=>(?[X]:((~curious(X)<~>~calm(X)))))&
(![X]:(calm(X)=>strong(X)))&
(![X]:((~patient(X)|~tall(X))<=>(~generous(X)&wise(X))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[... | brave(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7802414555584062596201105
% SZS output start Proof for 7802414555584062596201105
7. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~tall(X0) & ~brave(X0))) [input p6]
23. brave(alice) [input hypothesis]
33. ! [X0] : ((~tall(X0) & ~brave(X0)) | (brave(X0) <=> ~brave(X0))) [ennf transformation 7]... | 0 |
Everyone who is either not wise or not kind is both wise and not humble and vice versa. Everyone who is not brave or rich is both not kind and happy and vice versa. If someone is rich or not brave then alice is either not wise or funny. If fred is both not patient and strong then someone is both strong and not quiet an... | Susan is not quiet. | contradiction | (![X]:((~wise(X)<~>~kind(X))<=>(wise(X)&~humble(X))))&
(![X]:((~brave(X)|rich(X))<=>(~kind(X)&happy(X))))&
((?[X]:((rich(X)|~brave(X))))=>((~wise(alice)<~>funny(alice))))&
(((~patient(fred)&strong(fred)))<=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((calm(X)&kind(X))=>(~wise(X)|~strong(X))))&
((happy(mary))<=>((~kind(paul... | ~quiet(susan) | [
"p0",
"p1",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8838129183600934645592887
% SZS output start Proof for 8838129183600934645592887
1. ! [X0] : ((~wise(X0) <~> ~kind(X0)) <=> (~humble(X0) & wise(X0))) [input p0]
2. ! [X0] : ((rich(X0) | ~brave(X0)) <=> (happy(X0) & ~kind(X0))) [input p1]
5. ! [X0] : ((kind(X0) & calm(X0)) => (~strong(X0) ... | 0 |
If fred is either not strong or generous then susan is strong and vice versa.
If john is not happy then alice is not strong or not kind.
Everyone who is wise or kind is wise and vice versa.
Everyone who is not strong is wise or not happy and vice versa.
Everyone who is either not curious or curious is not kind or not h... | Alice is strong. | contradiction | (((~strong(fred)<~>generous(fred)))<=>(strong(susan)))&
((~happy(john))=>((~strong(alice)|~kind(alice))))&
(![X]:((wise(X)|kind(X))<=>wise(X)))&
(![X]:(~strong(X)<=>(wise(X)|~happy(X))))&
(![X]:((~curious(X)<~>curious(X))<=>(~kind(X)|~humble(X))))&
(![X]:(~patient(X)=>(~happy(X)<~>wise(X))))&
(![X]:((~rich(X)&~generous... | strong(alice) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3338837947443984077772397
% SZS output start Proof for 3338837947443984077772397
4. ! [X0] : (~strong(X0) <=> (~happy(X0) | wise(X0))) [input p3]
17. happy(alice) <~> ~wise(alice) [input p16]
25. strong(alice) [input hypothesis]
40. ! [X0] : ((~strong(X0) | (happy(X0) & ~wise(X0))) & ((~h... | 0 |
Everyone who is not strong or not kind is either not kind or not curious and vice versa.
Everyone who is creative is both happy and not humble and vice versa.
Everyone who is either not quiet or not funny is rich and vice versa.
Everyone who is not quiet or not humble is either rich or not calm and vice versa.
Everyone... | Lucy is curious. | entailment | (![X]:((~strong(X)|~kind(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:(creative(X)<=>(happy(X)&~humble(X))))&
(![X]:((~quiet(X)<~>~funny(X))<=>rich(X)))&
(![X]:((~quiet(X)|~humble(X))<=>(rich(X)<~>~calm(X))))&
(![X]:((happy(X)<~>~brave(X))=>(~tall(X)&~generous(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~tall(X)|patient(X))))&
... | curious(lucy) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2463700481898463774156083
% SZS output start Proof for 2463700481898463774156083
1. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p0]
13. ! [X0] : ((calm(X0) & curious(X0)) <=> (creative(X0) | curious(X0))) [input p12]
15. ! [X0] : ((patient(X0) | kind(X0)) ... | 0 |
If someone is not generous then mary is both happy and strong.
If someone is either patient or rich then someone is calm or happy and vice versa.
Everyone who is not happy or calm is either humble or wise and vice versa.
Everyone who is not happy is not old or not quiet and vice versa.
Everyone who is kind or not curio... | Paul is tall. | neutral | ((?[X]:(~generous(X)))=>((happy(mary)&strong(mary))))&
((?[X]:((patient(X)<~>rich(X))))<=>(?[X]:((calm(X)|happy(X)))))&
(![X]:((~happy(X)|calm(X))<=>(humble(X)<~>wise(X))))&
(![X]:(~happy(X)<=>(~old(X)|~quiet(X))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X))))&
((brave(mary))<=>((wise(mary)|~tall(mary))))&
((?... | tall(paul) | [] | null | 0 |
Everyone who is old or calm is either kind or generous. If john is either patient or kind then someone is both rich and strong and vice versa. If someone is not wise then someone is both not brave and not creative and vice versa. If someone is rich then someone is not wise and vice versa. If someone is both creative an... | Fred is not quiet. | entailment | (![X]:((old(X)|calm(X))=>(kind(X)<~>generous(X))))&
(((patient(john)<~>kind(john)))<=>(?[X]:((rich(X)&strong(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((~brave(X)&~creative(X)))))&
((?[X]:(rich(X)))<=>(?[X]:(~wise(X))))&
((?[X]:((creative(X)&happy(X))))=>(?[X]:((kind(X)&~generous(X)))))&
(((~wise(fred)&~kind(fred)))=>((happy(... | ~quiet(fred) | [
"p0",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3062831907884572101235312
% SZS output start Proof for 3062831907884572101235312
1. ! [X0] : ((calm(X0) | old(X0)) => (kind(X0) <~> generous(X0))) [input p0]
8. ! [X0] : ((patient(X0) & ~calm(X0)) <=> kind(X0)) [input p7]
12. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~generous(X0) <~> happ... | 0 |
Everyone who is not wise is both kind and not tall. If someone is either not generous or not curious then someone is either not funny or not wise and vice versa. If fred is either not kind or not humble then someone is both curious and patient. If someone is both not generous and not rich then someone is either not gen... | Alice is not quiet. | neutral | (![X]:(~wise(X)=>(kind(X)&~tall(X))))&
((?[X]:((~generous(X)<~>~curious(X))))<=>(?[X]:((~funny(X)<~>~wise(X)))))&
(((~kind(fred)<~>~humble(fred)))=>(?[X]:((curious(X)&patient(X)))))&
((?[X]:((~generous(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((old(X)|brave(X))<=>(strong(X)&~old(X))))&
(((funny(mary... | ~quiet(alice) | [] | null | 0 |
Everyone who is both calm and wise is curious and vice versa.
Everyone who is both not humble and not funny is not old.
If someone is either strong or not happy then someone is not wise and vice versa.
Everyone who is not tall or not creative is not curious or creative.
If fred is both tall and kind then someone is eit... | Paul is tall. | neutral | (![X]:((calm(X)&wise(X))<=>curious(X)))&
(![X]:((~humble(X)&~funny(X))=>~old(X)))&
((?[X]:((strong(X)<~>~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((~tall(X)|~creative(X))=>(~curious(X)|creative(X))))&
(((tall(fred)&kind(fred)))<=>(?[X]:((strong(X)<~>generous(X)))))&
((?[X]:((strong(X)&brave(X))))=>((patient(alice)<~>hap... | tall(paul) | [] | null | 0 |
If someone is not funny or not happy then someone is not patient or not rich.
Everyone who is both kind and calm is happy and vice versa.
Everyone who is quiet is both funny and patient.
If fred is either not creative or not rich then paul is funny.
If someone is generous or not kind then susan is both not strong and n... | Susan is not curious. | entailment | ((?[X]:((~funny(X)|~happy(X))))=>(?[X]:((~patient(X)|~rich(X)))))&
(![X]:((kind(X)&calm(X))<=>happy(X)))&
(![X]:(quiet(X)=>(funny(X)&patient(X))))&
(((~creative(fred)<~>~rich(fred)))=>(funny(paul)))&
((?[X]:((generous(X)|~kind(X))))<=>((~strong(susan)&~quiet(susan))))&
(![X]:(~curious(X)=>(happy(X)|~kind(X))))&
(((~qui... | ~curious(susan) | [
"p10",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 205277834755870393268538
% SZS output start Proof for 205277834755870393268538
11. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~happy(X0) | humble(X0))) [input p10]
12. ! [X0] : ((happy(X0) <~> ~wise(X0)) <=> (humble(X0) & ~generous(X0))) [input p11]
16. ! [X0] : ((~humble(X0) <~> ~curious(X0))... | 0 |
Everyone who is both not funny and calm is both happy and not calm and vice versa.
If john is both not humble and not calm then john is either patient or not calm.
Everyone who is brave or patient is not rich.
If someone is either strong or not brave then fred is both not happy and not rich.
Everyone who is kind is cur... | Alice is not generous. | entailment | (![X]:((~funny(X)&calm(X))<=>(happy(X)&~calm(X))))&
(((~humble(john)&~calm(john)))=>((patient(john)<~>~calm(john))))&
(![X]:((brave(X)|patient(X))=>~rich(X)))&
((?[X]:((strong(X)<~>~brave(X))))=>((~happy(fred)&~rich(fred))))&
(![X]:(kind(X)<=>curious(X)))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:((humble(X)|patient(X))))<=... | ~generous(alice) | [
"p0",
"p11",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2903817990836839799328274
% SZS output start Proof for 2903817990836839799328274
1. ! [X0] : ((calm(X0) & ~funny(X0)) <=> (~calm(X0) & happy(X0))) [input p0]
12. ! [X0] : ((~generous(X0) & creative(X0)) <=> (tall(X0) | brave(X0))) [input p11]
14. ! [X0] : ((calm(X0) & ~patient(X0)) <=> br... | 0 |
If someone is not strong or wise then john is rich and vice versa.
If someone is not humble or strong then someone is either not tall or not quiet.
Everyone who is either not calm or happy is both not rich and old.
Everyone who is not tall or not creative is both old and not patient and vice versa.
Everyone who is not ... | Fred is not old. | contradiction | ((?[X]:((~strong(X)|wise(X))))<=>(rich(john)))&
((?[X]:((~humble(X)|strong(X))))=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((~calm(X)<~>happy(X))=>(~rich(X)&old(X))))&
(![X]:((~tall(X)|~creative(X))<=>(old(X)&~patient(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~creative(X)&creative(X))))&
(((creative(fred)&tall(fred)))=>((~k... | ~old(fred) | [
"p2",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 263769975054082212471626
% SZS output start Proof for 263769975054082212471626
3. ! [X0] : ((~calm(X0) <~> happy(X0)) => (old(X0) & ~rich(X0))) [input p2]
4. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> (~patient(X0) & old(X0))) [input p3]
5. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (creative(... | 0 |
If john is not calm then someone is either calm or not funny and vice versa.
If susan is not old or not brave then fred is either not generous or kind.
If someone is either humble or tall then someone is either not patient or not funny.
If someone is either kind or rich then someone is tall or strong.
If fred is not ha... | Alice is not strong. | entailment | ((~calm(john))<=>(?[X]:((calm(X)<~>~funny(X)))))&
(((~old(susan)|~brave(susan)))=>((~generous(fred)<~>kind(fred))))&
((?[X]:((humble(X)<~>tall(X))))=>(?[X]:((~patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)<~>rich(X))))=>(?[X]:((tall(X)|strong(X)))))&
((~happy(fred))=>((~kind(john)<~>~brave(john))))&
(![X]:((~creative(X)&... | ~strong(alice) | [
"p0",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 197251430314437607944066
% SZS output start Proof for 197251430314437607944066
1. ~calm(john) <=> ? [X0] : (calm(X0) <~> ~funny(X0)) [input p0]
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (~creative(X0) | curious(X0))) [input p7]
11. ? [X0] : (strong(X0) | rich(X0)) => ~happy(john) [input p10... | 0 |
Everyone who is either strong or not rich is either not quiet or not humble and vice versa. If someone is both curious and not generous then someone is both quiet and rich and vice versa. Everyone who is both not funny and wise is funny and vice versa. Everyone who is not rich is wise. If someone is both not curious an... | John is wise. | contradiction | (![X]:((strong(X)<~>~rich(X))<=>(~quiet(X)<~>~humble(X))))&
((?[X]:((curious(X)&~generous(X))))<=>(?[X]:((quiet(X)&rich(X)))))&
(![X]:((~funny(X)&wise(X))<=>funny(X)))&
(![X]:(~rich(X)=>wise(X)))&
((?[X]:((~curious(X)&quiet(X))))=>((~quiet(alice)|brave(alice))))&
(((~generous(alice)<~>~brave(alice)))=>(~wise(mary)))&
(... | wise(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5099695973514677341403725
% SZS output start Proof for 5099695973514677341403725
3. ! [X0] : ((wise(X0) & ~funny(X0)) <=> funny(X0)) [input p2]
25. wise(john) [input hypothesis]
45. ! [X0] : (((wise(X0) & ~funny(X0)) | ~funny(X0)) & (funny(X0) | (~wise(X0) | funny(X0)))) [nnf transformati... | 0 |
If someone is either not humble or kind then alice is not humble and vice versa.
If someone is either tall or calm then someone is not curious.
Everyone who is strong or curious is not rich or not humble.
If someone is both calm and not strong then someone is not calm or not rich.
If someone is not brave or not strong ... | Fred is not funny. | contradiction | ((?[X]:((~humble(X)<~>kind(X))))<=>(~humble(alice)))&
((?[X]:((tall(X)<~>calm(X))))=>(?[X]:(~curious(X))))&
(![X]:((strong(X)|curious(X))=>(~rich(X)|~humble(X))))&
((?[X]:((calm(X)&~strong(X))))=>(?[X]:((~calm(X)|~rich(X)))))&
((?[X]:((~brave(X)|~strong(X))))=>(?[X]:((~quiet(X)&~curious(X)))))&
((?[X]:(tall(X)))=>(?[X]... | ~funny(fred) | [
"p4",
"p6",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5559386147485148816656735
% SZS output start Proof for 5559386147485148816656735
5. ? [X0] : (~strong(X0) | ~brave(X0)) => ? [X0] : (~curious(X0) & ~quiet(X0)) [input p4]
7. ! [X0] : ((~generous(X0) | ~brave(X0)) => (creative(X0) & quiet(X0))) [input p6]
12. ! [X0] : ((brave(X0) | funny(X... | 0 |
Everyone who is either not humble or creative is either not kind or not strong.
Everyone who is not kind is not funny or not humble and vice versa.
If someone is either not rich or not wise then lucy is not wise and vice versa.
Everyone who is not tall or happy is not old or not humble and vice versa.
Everyone who is b... | Paul is not creative. | contradiction | (![X]:((~humble(X)<~>creative(X))=>(~kind(X)<~>~strong(X))))&
(![X]:(~kind(X)<=>(~funny(X)|~humble(X))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(~wise(lucy)))&
(![X]:((~tall(X)|happy(X))<=>(~old(X)|~humble(X))))&
(![X]:((~curious(X)&happy(X))<=>(~rich(X)|~funny(X))))&
(![X]:((~wise(X)&~curious(X))=>quiet(X)))&
(![X]:((~cal... | ~creative(paul) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9036337962933917759574546
% SZS output start Proof for 9036337962933917759574546
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> (~funny(X0) | ~rich(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | tall(X0)) => kind(X0)) [input p7]
9. ! [X0] : ((~wise(X0) | happy(X0)) => (funny(X0) & ~rich(X0))) [i... | 0 |
If someone is not strong or not humble then someone is not rich or not tall.
Everyone who is both humble and tall is not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Mary is calm. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | calm(mary) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 739992630430969945064976
% SZS output start Proof for 739992630430969945064976
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~ri... | 0 |
If paul is either not old or not wise then paul is either not patient or not wise. If someone is both not strong and brave then john is both patient and not creative and vice versa. If someone is either not tall or not old then someone is happy. Everyone who is either kind or wise is either not kind or not brave and vi... | Paul is not tall. | entailment | (((~old(paul)<~>~wise(paul)))=>((~patient(paul)<~>~wise(paul))))&
((?[X]:((~strong(X)&brave(X))))<=>((patient(john)&~creative(john))))&
((?[X]:((~tall(X)<~>~old(X))))=>(?[X]:(happy(X))))&
(![X]:((kind(X)<~>wise(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:((humble(X)&old(X))))<=>((~tall(john)|~wise(john))))&
((~kind(alice))<... | ~tall(paul) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6952726570747995645439798
% SZS output start Proof for 6952726570747995645439798
1. (~old(paul) <~> ~wise(paul)) => (~patient(paul) <~> ~wise(paul)) [input p0]
3. ? [X0] : (~tall(X0) <~> ~old(X0)) => ? [X0] : happy(X0) [input p2]
4. ! [X0] : ((kind(X0) <~> wise(X0)) <=> (~kind(X0) <~> ~br... | 0 |
Everyone who is creative or not generous is wise.
Everyone who is brave or not rich is not wise or not generous and vice versa.
Everyone who is not quiet or creative is either not quiet or happy and vice versa.
Everyone who is both not quiet and not calm is old or not humble and vice versa.
Everyone who is not calm is ... | Alice is rich. | contradiction | (![X]:((creative(X)|~generous(X))=>wise(X)))&
(![X]:((brave(X)|~rich(X))<=>(~wise(X)|~generous(X))))&
(![X]:((~quiet(X)|creative(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((~quiet(X)&~calm(X))<=>(old(X)|~humble(X))))&
(![X]:(~calm(X)<=>(wise(X)|strong(X))))&
(![X]:(calm(X)<=>(~calm(X)|~funny(X))))&
(![X]:((calm(X)<~>~funny... | rich(alice) | [
"p1",
"p3",
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6627840819426939695498362
% SZS output start Proof for 6627840819426939695498362
2. ! [X0] : ((~rich(X0) | brave(X0)) <=> (~generous(X0) | ~wise(X0))) [input p1]
4. ! [X0] : ((~calm(X0) & ~quiet(X0)) <=> (~humble(X0) | old(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (strong(X0) | wise(X0)... | 0 |
Everyone who is either quiet or not happy is either not happy or brave. Everyone who is not kind is both quiet and not brave and vice versa. Everyone who is both strong and happy is rich or creative. If someone is both not old and not humble then lucy is creative. If someone is either not rich or not kind then someone ... | Lucy is generous. | entailment | (![X]:((quiet(X)<~>~happy(X))=>(~happy(X)<~>brave(X))))&
(![X]:(~kind(X)<=>(quiet(X)&~brave(X))))&
(![X]:((strong(X)&happy(X))=>(rich(X)|creative(X))))&
((?[X]:((~old(X)&~humble(X))))=>(creative(lucy)))&
((?[X]:((~rich(X)<~>~kind(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~tall(X)|~generous(X))))=>(~brave(paul)))&
(![X]:((~p... | generous(lucy) | [
"p0",
"p1",
"p6",
"p8",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5429034244317562792311258
% SZS output start Proof for 5429034244317562792311258
1. ! [X0] : ((quiet(X0) <~> ~happy(X0)) => (~happy(X0) <~> brave(X0))) [input p0]
2. ! [X0] : (~kind(X0) <=> (~brave(X0) & quiet(X0))) [input p1]
7. ! [X0] : ((~patient(X0) <~> ~humble(X0)) => ~brave(X0)) [in... | 0 |
If mary is both not strong and quiet then john is either not quiet or rich.
If someone is either not wise or not old then someone is either tall or wise and vice versa.
If paul is funny then lucy is rich or curious and vice versa.
Everyone who is curious is either not tall or curious.
If someone is kind or not curious ... | Paul is tall. | contradiction | (((~strong(mary)&quiet(mary)))=>((~quiet(john)<~>rich(john))))&
((?[X]:((~wise(X)<~>~old(X))))<=>(?[X]:((tall(X)<~>wise(X)))))&
((funny(paul))<=>((rich(lucy)|curious(lucy))))&
(![X]:(curious(X)=>(~tall(X)<~>curious(X))))&
((?[X]:((kind(X)|~curious(X))))<=>((humble(fred)|~creative(fred))))&
((wise(alice))=>(?[X]:((~quie... | tall(paul) | [
"p7",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7282701938612240837179229
% SZS output start Proof for 7282701938612240837179229
8. ! [X0] : ((tall(X0) | strong(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p7]
14. ? [X0] : ~patient(X0) => (quiet(paul) <~> tall(paul)) [input p13]
24. ? [X0] : (~patient(X0) & tall(X0)) [input p23]
25. tall... | 0 |
Everyone who is strong is not humble or not quiet and vice versa.
Everyone who is either brave or not brave is both creative and not patient and vice versa.
If lucy is curious then mary is old and vice versa.
Everyone who is both humble and tall is patient and vice versa.
Everyone who is not wise is not creative or not... | Lucy is not kind. | neutral | (![X]:(strong(X)<=>(~humble(X)|~quiet(X))))&
(![X]:((brave(X)<~>~brave(X))<=>(creative(X)&~patient(X))))&
((curious(lucy))<=>(old(mary)))&
(![X]:((humble(X)&tall(X))<=>patient(X)))&
(![X]:(~wise(X)=>(~creative(X)|~tall(X))))&
((?[X]:((rich(X)&wise(X))))=>(?[X]:(strong(X))))&
((~wise(lucy))=>(?[X]:(~happy(X))))&
((?[X]:... | ~kind(lucy) | [] | null | 0 |
If paul is both creative and curious then john is either not patient or calm and vice versa. If alice is either kind or not funny then someone is either not creative or old and vice versa. Everyone who is either curious or not curious is either not humble or generous. Everyone who is both not kind and humble is both no... | Mary is not kind. | contradiction | (((creative(paul)&curious(paul)))<=>((~patient(john)<~>calm(john))))&
(((kind(alice)<~>~funny(alice)))<=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:((curious(X)<~>~curious(X))=>(~humble(X)<~>generous(X))))&
(![X]:((~kind(X)&humble(X))<=>(~generous(X)&kind(X))))&
(![X]:(~humble(X)<=>(generous(X)<~>tall(X))))&
(![X]:((~cre... | ~kind(mary) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6431252536302775645305527
% SZS output start Proof for 6431252536302775645305527
4. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (kind(X0) & ~generous(X0))) [input p3]
20. humble(mary) & tall(mary) [input p19]
23. ~kind(mary) [input hypothesis]
42. ! [X0] : (((humble(X0) & ~kind(X0)) | (~kind(X... | 0 |
Everyone who is either not rich or generous is not kind or not quiet.
Everyone who is funny or not generous is brave or curious and vice versa.
If alice is both not curious and not brave then someone is either calm or not strong and vice versa.
If someone is both funny and wise then someone is either patient or not old... | Mary is not old. | contradiction | (![X]:((~rich(X)<~>generous(X))=>(~kind(X)|~quiet(X))))&
(![X]:((funny(X)|~generous(X))<=>(brave(X)|curious(X))))&
(((~curious(alice)&~brave(alice)))<=>(?[X]:((calm(X)<~>~strong(X)))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:((old(X)<~>~strong(X))<=>kind(X)))&
(![X]:(~old(X)<=>(kind(X)&~c... | ~old(mary) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 812577795025101048752714
% SZS output start Proof for 812577795025101048752714
6. ! [X0] : (~old(X0) <=> (~creative(X0) & kind(X0))) [input p5]
10. ! [X0] : ((~funny(X0) & ~kind(X0)) <=> (~humble(X0) | ~creative(X0))) [input p9]
25. ~old(mary) [input hypothesis]
48. ! [X0] : ((~old(X0) | ... | 0 |
Everyone who is both curious and not calm is not old. Everyone who is both old and rich is both not curious and rich and vice versa. If john is both not patient and strong then someone is not tall. If someone is not quiet then someone is not calm or not old and vice versa. Everyone who is not generous or not calm is ei... | John is tall. | neutral | (![X]:((curious(X)&~calm(X))=>~old(X)))&
(![X]:((old(X)&rich(X))<=>(~curious(X)&rich(X))))&
(((~patient(john)&strong(john)))=>(?[X]:(~tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~generous(X)|~calm(X))=>(~humble(X)<~>patient(X))))&
(((happy(mary)|~calm(mary)))=>((~kind(lucy)|~happy(lucy))))&
... | tall(john) | [] | null | 0 |
Everyone who is not generous or not kind is both happy and not brave. Everyone who is both humble and not rich is not calm or not humble. If lucy is either generous or not patient then susan is not strong and vice versa. If lucy is both curious and humble then john is both not strong and old and vice versa. Everyone wh... | John is not humble. | entailment | (![X]:((~generous(X)|~kind(X))=>(happy(X)&~brave(X))))&
(![X]:((humble(X)&~rich(X))=>(~calm(X)|~humble(X))))&
(((generous(lucy)<~>~patient(lucy)))<=>(~strong(susan)))&
(((curious(lucy)&humble(lucy)))<=>((~strong(john)&old(john))))&
(![X]:((~curious(X)&funny(X))=>calm(X)))&
(![X]:(humble(X)<=>(creative(X)&strong(X))))&
... | ~humble(john) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5597744904413883200939711
% SZS output start Proof for 5597744904413883200939711
6. ! [X0] : (humble(X0) <=> (strong(X0) & creative(X0))) [input p5]
11. ! [X0] : ((creative(X0) | strong(X0)) => (~humble(X0) & ~rich(X0))) [input p10]
25. humble(john) [input hypothesis]
36. ! [X0] : ((~humb... | 0 |
Everyone who is both tall and not curious is wise or brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble. If susan is generous then susan is happy and vi... | Lucy is not old. | neutral | (![X]:((tall(X)&~curious(X))<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((... | ~old(lucy) | [] | null | 0 |
Everyone who is either not generous or not funny is funny and vice versa.
If paul is not quiet or not rich then someone is not humble.
Everyone who is not happy is kind and vice versa.
Everyone who is both not humble and not creative is both calm and not quiet.
Everyone who is not funny or strong is tall or happy and v... | Fred is not strong. | contradiction | (![X]:((~generous(X)<~>~funny(X))<=>funny(X)))&
(((~quiet(paul)|~rich(paul)))=>(?[X]:(~humble(X))))&
(![X]:(~happy(X)<=>kind(X)))&
(![X]:((~humble(X)&~creative(X))=>(calm(X)&~quiet(X))))&
(![X]:((~funny(X)|strong(X))<=>(tall(X)|happy(X))))&
(![X]:(old(X)<=>(~brave(X)|~rich(X))))&
(![X]:((happy(X)&~kind(X))=>(~curious(X... | ~strong(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5133997718787047536756792
% SZS output start Proof for 5133997718787047536756792
23. strong(fred) & quiet(fred) [input p22]
25. ~strong(fred) [input hypothesis]
146. strong(fred) [cnf transformation 23]
148. ~strong(fred) [cnf transformation 25]
299. $false [subsumption resolution 148,146... | 0 |
Everyone who is both kind and creative is either rich or not calm.
Everyone who is either rich or curious is both generous and not calm and vice versa.
If susan is not creative or funny then fred is brave.
Everyone who is not generous is either not curious or happy.
If paul is not tall or not happy then someone is old.... | Lucy is not strong. | entailment | (![X]:((kind(X)&creative(X))=>(rich(X)<~>~calm(X))))&
(![X]:((rich(X)<~>curious(X))<=>(generous(X)&~calm(X))))&
(((~creative(susan)|funny(susan)))=>(brave(fred)))&
(![X]:(~generous(X)=>(~curious(X)<~>happy(X))))&
(((~tall(paul)|~happy(paul)))=>(?[X]:(old(X))))&
(![X]:((~brave(X)|~rich(X))<=>(tall(X)&~calm(X))))&
((?[X]... | ~strong(lucy) | [
"p5",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7344947021004225554155854
% SZS output start Proof for 7344947021004225554155854
6. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (~calm(X0) & tall(X0))) [input p5]
12. ! [X0] : ((~generous(X0) & ~tall(X0)) <=> (strong(X0) | funny(X0))) [input p11]
18. ~rich(lucy) & ~creative(lucy) [input p17]
2... | 0 |
If someone is both patient and brave then john is both not humble and not wise.
If someone is both not curious and old then someone is not happy or not creative and vice versa.
If someone is patient then lucy is not patient or not generous.
If someone is both humble and wise then paul is both not old and strong.
If som... | Alice is not quiet. | neutral | ((?[X]:((patient(X)&brave(X))))=>((~humble(john)&~wise(john))))&
((?[X]:((~curious(X)&old(X))))<=>(?[X]:((~happy(X)|~creative(X)))))&
((?[X]:(patient(X)))=>((~patient(lucy)|~generous(lucy))))&
((?[X]:((humble(X)&wise(X))))=>((~old(paul)&strong(paul))))&
((?[X]:((~quiet(X)|funny(X))))=>((rich(alice)|~generous(alice))))&... | ~quiet(alice) | [] | null | 0 |
If alice is strong or curious then fred is not creative and vice versa.
Everyone who is either kind or not patient is funny and vice versa.
If someone is either calm or old then paul is rich or brave and vice versa.
Everyone who is either not brave or happy is both brave and kind and vice versa.
Everyone who is both no... | Paul is not patient. | entailment | (((strong(alice)|curious(alice)))<=>(~creative(fred)))&
(![X]:((kind(X)<~>~patient(X))<=>funny(X)))&
((?[X]:((calm(X)<~>old(X))))<=>((rich(paul)|brave(paul))))&
(![X]:((~brave(X)<~>happy(X))<=>(brave(X)&kind(X))))&
(![X]:((~generous(X)&funny(X))<=>(calm(X)|patient(X))))&
(((quiet(lucy)|~rich(lucy)))=>(happy(susan)))&
(... | ~patient(paul) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7404364207245473129637557
% SZS output start Proof for 7404364207245473129637557
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (patient(X0) | calm(X0))) [input p4]
12. ! [X0] : (~old(X0) <=> (old(X0) <~> generous(X0))) [input p11]
24. patient(paul) [input hypothesis]
44. ! [X0] : (((funny(... | 0 |
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