premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not curious then mary is not funny. If fred is not patient or funny then someone is both not curious and not quiet. If mary is calm then someone is either not creative or patient. Everyone who is brave is old. Everyone who is not curious or not rich is rich and vice versa. Everyone who is quiet is either ... | John is brave. | neutral | ((?[X]:(~curious(X)))=>(~funny(mary)))&
(((~patient(fred)|funny(fred)))=>(?[X]:((~curious(X)&~quiet(X)))))&
((calm(mary))=>(?[X]:((~creative(X)<~>patient(X)))))&
(![X]:(brave(X)=>old(X)))&
(![X]:((~curious(X)|~rich(X))<=>rich(X)))&
(![X]:(quiet(X)<=>(old(X)<~>~strong(X))))&
((rich(paul))<=>(?[X]:((tall(X)|calm(X)))))&
... | brave(john) | [] | null | 0 |
Everyone who is not creative is not funny and vice versa. Everyone who is not happy is either not funny or not creative. Everyone who is funny or not humble is either not creative or quiet. If someone is not rich or not humble then john is curious or kind. If someone is not old or kind then alice is humble. If lucy is ... | Fred is not quiet. | neutral | (![X]:(~creative(X)<=>~funny(X)))&
(![X]:(~happy(X)=>(~funny(X)<~>~creative(X))))&
(![X]:((funny(X)|~humble(X))=>(~creative(X)<~>quiet(X))))&
((?[X]:((~rich(X)|~humble(X))))=>((curious(john)|kind(john))))&
((?[X]:((~old(X)|kind(X))))=>(humble(alice)))&
(((~patient(lucy)<~>~generous(lucy)))=>(?[X]:((humble(X)&tall(X))))... | ~quiet(fred) | [] | null | 0 |
If alice is funny or not generous then someone is either not happy or not quiet.
Everyone who is either not generous or not humble is either not quiet or creative.
Everyone who is not calm or not old is both not calm and calm and vice versa.
Everyone who is both old and kind is not generous and vice versa.
If john is b... | John is not kind. | contradiction | (((funny(alice)|~generous(alice)))=>(?[X]:((~happy(X)<~>~quiet(X)))))&
(![X]:((~generous(X)<~>~humble(X))=>(~quiet(X)<~>creative(X))))&
(![X]:((~calm(X)|~old(X))<=>(~calm(X)&calm(X))))&
(![X]:((old(X)&kind(X))<=>~generous(X)))&
(((strong(john)&~happy(john)))=>(?[X]:((~calm(X)&~wise(X)))))&
(![X]:((curious(X)|happy(X))<... | ~kind(john) | [
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 554697469615155589466246
% SZS output start Proof for 554697469615155589466246
3. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (calm(X0) & ~calm(X0))) [input p2]
4. ! [X0] : ((kind(X0) & old(X0)) <=> ~generous(X0)) [input p3]
13. ? [X0] : (~generous(X0) <~> calm(X0)) <=> (patient(paul) & ~patient... | 0 |
If someone is either not kind or not humble then fred is both not rich and not funny and vice versa. Everyone who is kind is either strong or patient. Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. I... | Paul is not rich. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((~rich(fred)&~funny(fred))))&
(![X]:(kind(X)=>(strong(X)<~>patient(X))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&... | ~rich(paul) | [
"p2",
"p3",
"p6",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2888363423169381667607575
% SZS output start Proof for 2888363423169381667607575
3. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p2]
4. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p3]
7. ? [X0] : (generous(X0) <~> ~rich(X0)) =... | 0 |
Everyone who is old or brave is old.
If paul is not curious or not old then someone is either happy or tall.
Everyone who is both not kind and kind is both old and not funny and vice versa.
If someone is not old or not calm then someone is not calm.
Everyone who is both brave and not generous is tall or not generous.
I... | Alice is wise. | neutral | (![X]:((old(X)|brave(X))=>old(X)))&
(((~curious(paul)|~old(paul)))=>(?[X]:((happy(X)<~>tall(X)))))&
(![X]:((~kind(X)&kind(X))<=>(old(X)&~funny(X))))&
((?[X]:((~old(X)|~calm(X))))=>(?[X]:(~calm(X))))&
(![X]:((brave(X)&~generous(X))=>(tall(X)|~generous(X))))&
((~generous(lucy))<=>(?[X]:((~strong(X)<~>curious(X)))))&
((?[... | wise(alice) | [] | null | 0 |
If someone is not old then lucy is both creative and generous.
Everyone who is either not tall or creative is tall or kind and vice versa.
Everyone who is both not calm and not humble is funny and vice versa.
Everyone who is not creative or happy is brave.
Everyone who is either not humble or wise is not kind or strong... | Lucy is not patient. | neutral | ((?[X]:(~old(X)))=>((creative(lucy)&generous(lucy))))&
(![X]:((~tall(X)<~>creative(X))<=>(tall(X)|kind(X))))&
(![X]:((~calm(X)&~humble(X))<=>funny(X)))&
(![X]:((~creative(X)|happy(X))=>brave(X)))&
(![X]:((~humble(X)<~>wise(X))=>(~kind(X)|strong(X))))&
(![X]:((~generous(X)<~>strong(X))<=>(~brave(X)&~wise(X))))&
(![X]:((... | ~patient(lucy) | [] | null | 0 |
Everyone who is not curious or rich is happy or wise.
If susan is both not generous and old then lucy is either not funny or not brave and vice versa.
If someone is either not rich or not curious then someone is either curious or not happy.
If mary is humble then someone is both curious and not humble.
If susan is not ... | Alice is rich. | contradiction | (![X]:((~curious(X)|rich(X))=>(happy(X)|wise(X))))&
(((~generous(susan)&old(susan)))<=>((~funny(lucy)<~>~brave(lucy))))&
((?[X]:((~rich(X)<~>~curious(X))))=>(?[X]:((curious(X)<~>~happy(X)))))&
((humble(mary))=>(?[X]:((curious(X)&~humble(X)))))&
((~creative(susan))<=>(?[X]:(wise(X))))&
(((~brave(paul)&curious(paul)))=>(... | rich(alice) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 777100553067714948654447
% SZS output start Proof for 777100553067714948654447
5. ~creative(susan) <=> ? [X0] : wise(X0) [input p4]
8. ? [X0] : (humble(X0) | creative(X0)) <=> ? [X0] : wise(X0) [input p7]
10. ? [X0] : (wise(X0) | ~brave(X0)) => (~kind(alice) & ~rich(alice)) [input p9]
25.... | 0 |
If someone is kind then john is either tall or not patient. If someone is calm then someone is not rich or not creative. Everyone who is not kind is either not patient or creative. If alice is either not wise or not patient then susan is patient or generous. If paul is not old or humble then mary is not curious or not ... | John is not patient. | neutral | ((?[X]:(kind(X)))=>((tall(john)<~>~patient(john))))&
((?[X]:(calm(X)))=>(?[X]:((~rich(X)|~creative(X)))))&
(![X]:(~kind(X)=>(~patient(X)<~>creative(X))))&
(((~wise(alice)<~>~patient(alice)))=>((patient(susan)|generous(susan))))&
(((~old(paul)|humble(paul)))=>((~curious(mary)|~brave(mary))))&
(![X]:(~humble(X)=>(generou... | ~patient(john) | [] | null | 0 |
If someone is both not tall and humble then john is both not tall and funny. If someone is both curious and strong then fred is both not creative and funny. Everyone who is not patient or strong is both not curious and not humble and vice versa. Everyone who is old is not happy. Everyone who is not wise is either not b... | Fred is curious. | entailment | ((?[X]:((~tall(X)&humble(X))))=>((~tall(john)&funny(john))))&
((?[X]:((curious(X)&strong(X))))=>((~creative(fred)&funny(fred))))&
(![X]:((~patient(X)|strong(X))<=>(~curious(X)&~humble(X))))&
(![X]:(old(X)=>~happy(X)))&
(![X]:(~wise(X)<=>(~brave(X)<~>~happy(X))))&
((~creative(john))<=>(?[X]:((~brave(X)<~>~creative(X))))... | curious(fred) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2781441825416465904276299
% SZS output start Proof for 2781441825416465904276299
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~humble(X0) & ~curious(X0))) [input p2]
4. ! [X0] : (old(X0) => ~happy(X0)) [input p3]
5. ! [X0] : (~wise(X0) <=> (~brave(X0) <~> ~happy(X0))) [input p4]
7. ! [X0... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is not calm.
If alice is both kind and not brave then alice is both old and not strong and vice versa.
If someone is patient then john is rich.
If mary is funny then someone is not wise or not... | Paul is curious. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:(~calm(X))))&
(((kind(alice)&~brave(alice)))<=>((old(alice)&~strong(alice))))&
((?[X]:(patient(X)))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X... | curious(paul) | [
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3342937417163126743447286
% SZS output start Proof for 3342937417163126743447286
8. ! [X0] : (brave(X0) <=> patient(X0)) [input p7]
9. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p8]
10. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p9]
15. ! [X0... | 0 |
If alice is either curious or not funny then someone is not brave or wise and vice versa.
If someone is tall or calm then alice is not curious and vice versa.
Everyone who is not wise or not creative is either curious or not tall.
Everyone who is either brave or not generous is not curious or rich.
Everyone who is eith... | Fred is kind. | contradiction | (((curious(alice)<~>~funny(alice)))<=>(?[X]:((~brave(X)|wise(X)))))&
((?[X]:((tall(X)|calm(X))))<=>(~curious(alice)))&
(![X]:((~wise(X)|~creative(X))=>(curious(X)<~>~tall(X))))&
(![X]:((brave(X)<~>~generous(X))=>(~curious(X)|rich(X))))&
(![X]:((~tall(X)<~>~strong(X))<=>(generous(X)|~generous(X))))&
(![X]:((quiet(X)&hum... | kind(fred) | [
"p0",
"p1",
"p4",
"p6",
"p10",
"p13",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8267771942031200429595539
% SZS output start Proof for 8267771942031200429595539
1. (curious(alice) <~> ~funny(alice)) <=> ? [X0] : (wise(X0) | ~brave(X0)) [input p0]
2. ? [X0] : (calm(X0) | tall(X0)) <=> ~curious(alice) [input p1]
5. ! [X0] : ((~tall(X0) <~> ~strong(X0)) <=> (~generous(X... | 0 |
Everyone who is not kind is not rich or funny and vice versa.
If mary is both not curious and not wise then mary is both funny and not tall and vice versa.
If fred is not generous or humble then alice is not quiet or quiet.
If someone is not rich or curious then fred is not kind or not tall and vice versa.
If someone i... | Lucy is kind. | contradiction | (![X]:(~kind(X)<=>(~rich(X)|funny(X))))&
(((~curious(mary)&~wise(mary)))<=>((funny(mary)&~tall(mary))))&
(((~generous(fred)|humble(fred)))=>((~quiet(alice)|quiet(alice))))&
((?[X]:((~rich(X)|curious(X))))<=>((~kind(fred)|~tall(fred))))&
((?[X]:((patient(X)&~wise(X))))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:(~patient(X)=>p... | kind(lucy) | [
"p0",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 644628777874331770164431
% SZS output start Proof for 644628777874331770164431
1. ! [X0] : (~kind(X0) <=> (funny(X0) | ~rich(X0))) [input p0]
7. ! [X0] : ((old(X0) & ~kind(X0)) <=> (strong(X0) | ~patient(X0))) [input p6]
21. funny(lucy) | strong(lucy) [input p20]
25. kind(lucy) [input hyp... | 0 |
If alice is funny then alice is not rich.
Everyone who is generous is both curious and funny.
Everyone who is generous is both not tall and quiet and vice versa.
If someone is both funny and not wise then someone is funny.
Everyone who is kind is not creative or happy and vice versa.
If someone is both curious and not ... | John is kind. | entailment | ((funny(alice))=>(~rich(alice)))&
(![X]:(generous(X)=>(curious(X)&funny(X))))&
(![X]:(generous(X)<=>(~tall(X)&quiet(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:(funny(X))))&
(![X]:(kind(X)<=>(~creative(X)|happy(X))))&
((?[X]:((curious(X)&~creative(X))))=>((wise(john)<~>~generous(john))))&
((?[X]:(~funny(X)))=>(?[X]:(ki... | kind(john) | [
"p4",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4313489238806656032374688
% SZS output start Proof for 4313489238806656032374688
5. ! [X0] : (kind(X0) <=> (happy(X0) | ~creative(X0))) [input p4]
11. ~kind(john) => ? [X0] : (patient(X0) & wise(X0)) [input p10]
15. ? [X0] : (happy(X0) & creative(X0)) <=> ? [X0] : patient(X0) [input p14]
... | 0 |
Everyone who is either not calm or not brave is either kind or old. Everyone who is either not rich or not humble is not strong or not calm and vice versa. If fred is strong then lucy is both humble and not rich and vice versa. Everyone who is both old and not old is not humble. If someone is kind then someone is both ... | John is funny. | contradiction | (![X]:((~calm(X)<~>~brave(X))=>(kind(X)<~>old(X))))&
(![X]:((~rich(X)<~>~humble(X))<=>(~strong(X)|~calm(X))))&
((strong(fred))<=>((humble(lucy)&~rich(lucy))))&
(![X]:((old(X)&~old(X))=>~humble(X)))&
((?[X]:(kind(X)))<=>(?[X]:((~funny(X)&humble(X)))))&
((?[X]:((~quiet(X)|creative(X))))<=>(?[X]:((~quiet(X)|~creative(X)))... | funny(john) | [
"p8",
"p9",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5652028006055591469262593
% SZS output start Proof for 5652028006055591469262593
9. (~funny(fred) & ~humble(fred)) <=> ? [X0] : ~wise(X0) [input p8]
10. ! [X0] : ((~curious(X0) & funny(X0)) <=> (~strong(X0) | happy(X0))) [input p9]
18. happy(fred) & creative(fred) [input p17]
22. ~wise(jo... | 0 |
Everyone who is humble is either not generous or kind. Everyone who is generous or not wise is not humble or not generous. Everyone who is either old or not funny is humble or not brave and vice versa. If someone is either funny or calm then someone is both not brave and funny. If someone is not kind or generous then f... | Mary is old. | entailment | (![X]:(humble(X)=>(~generous(X)<~>kind(X))))&
(![X]:((generous(X)|~wise(X))=>(~humble(X)|~generous(X))))&
(![X]:((old(X)<~>~funny(X))<=>(humble(X)|~brave(X))))&
((?[X]:((funny(X)<~>calm(X))))=>(?[X]:((~brave(X)&funny(X)))))&
((?[X]:((~kind(X)|generous(X))))=>(~patient(fred)))&
((?[X]:((humble(X)&tall(X))))=>((~quiet(ma... | old(mary) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1582339179389938158252812
% SZS output start Proof for 1582339179389938158252812
8. ! [X0] : ((humble(X0) & ~humble(X0)) <=> (strong(X0) <~> ~quiet(X0))) [input p7]
10. ! [X0] : ((happy(X0) | ~old(X0)) <=> (~quiet(X0) & generous(X0))) [input p9]
16. ! [X0] : ((~wise(X0) | strong(X0)) <=> ... | 0 |
If susan is both quiet and not patient then someone is not old. If someone is tall or not calm then someone is curious or not rich and vice versa. If susan is both not tall and not humble then susan is generous and vice versa. Everyone who is happy or kind is either not patient or quiet. Everyone who is wise or not qui... | Susan is not funny. | entailment | (((quiet(susan)&~patient(susan)))=>(?[X]:(~old(X))))&
((?[X]:((tall(X)|~calm(X))))<=>(?[X]:((curious(X)|~rich(X)))))&
(((~tall(susan)&~humble(susan)))<=>(generous(susan)))&
(![X]:((happy(X)|kind(X))=>(~patient(X)<~>quiet(X))))&
(![X]:((wise(X)|~quiet(X))=>~wise(X)))&
((?[X]:((~generous(X)<~>quiet(X))))=>(?[X]:(brave(X)... | ~funny(susan) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7093933115107741100614043
% SZS output start Proof for 7093933115107741100614043
3. (~humble(susan) & ~tall(susan)) <=> generous(susan) [input p2]
5. ! [X0] : ((~quiet(X0) | wise(X0)) => ~wise(X0)) [input p4]
8. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> (~wise(X0) <~> kind(X0))) [input p7... | 0 |
If fred is not curious or happy then susan is not tall or not happy.
Everyone who is patient is old or not creative and vice versa.
If lucy is either not quiet or not humble then someone is both not calm and old.
Everyone who is not creative is either not kind or not strong.
Everyone who is not tall or kind is not humb... | Alice is patient. | neutral | (((~curious(fred)|happy(fred)))=>((~tall(susan)|~happy(susan))))&
(![X]:(patient(X)<=>(old(X)|~creative(X))))&
(((~quiet(lucy)<~>~humble(lucy)))=>(?[X]:((~calm(X)&old(X)))))&
(![X]:(~creative(X)=>(~kind(X)<~>~strong(X))))&
(![X]:((~tall(X)|kind(X))=>(~humble(X)|~patient(X))))&
(![X]:((funny(X)<~>curious(X))=>~brave(X))... | patient(alice) | [] | null | 0 |
Everyone who is patient is not strong or not curious and vice versa.
If someone is creative or not humble then someone is either old or not happy and vice versa.
Everyone who is either not curious or not funny is curious or not humble and vice versa.
If someone is both not humble and not brave then someone is both stro... | Paul is not patient. | contradiction | (![X]:(patient(X)<=>(~strong(X)|~curious(X))))&
((?[X]:((creative(X)|~humble(X))))<=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((~curious(X)<~>~funny(X))<=>(curious(X)|~humble(X))))&
((?[X]:((~humble(X)&~brave(X))))<=>(?[X]:((strong(X)&~strong(X)))))&
((rich(susan))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(~patient(X)<=>(kind... | ~patient(paul) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4521682122909052751613912
% SZS output start Proof for 4521682122909052751613912
1. ! [X0] : (patient(X0) <=> (~curious(X0) | ~strong(X0))) [input p0]
6. ! [X0] : (~patient(X0) <=> (~strong(X0) & kind(X0))) [input p5]
25. ~patient(paul) [input hypothesis]
40. ! [X0] : ((patient(X0) | (cur... | 0 |
Everyone who is not wise or tall is both not rich and not humble and vice versa. Everyone who is either not strong or generous is both funny and brave. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is eith... | John is not rich. | contradiction | (![X]:((~wise(X)|tall(X))<=>(~rich(X)&~humble(X))))&
(![X]:((~strong(X)<~>generous(X))=>(funny(X)&brave(X))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]... | ~rich(john) | [
"p0",
"p1",
"p6",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4295070897525912474802043
% SZS output start Proof for 4295070897525912474802043
1. ! [X0] : ((tall(X0) | ~wise(X0)) <=> (~humble(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~strong(X0) <~> generous(X0)) => (brave(X0) & funny(X0))) [input p1]
7. ! [X0] : ((~curious(X0) <~> patient(X0)) <=>... | 0 |
Everyone who is not tall or not generous is generous or not humble and vice versa. Everyone who is either happy or kind is not tall or not strong and vice versa. If fred is either not brave or not kind then paul is both creative and patient and vice versa. Everyone who is either not generous or not humble is either fun... | Susan is humble. | contradiction | (![X]:((~tall(X)|~generous(X))<=>(generous(X)|~humble(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~tall(X)|~strong(X))))&
(((~brave(fred)<~>~kind(fred)))<=>((creative(paul)&patient(paul))))&
(![X]:((~generous(X)<~>~humble(X))<=>(funny(X)<~>~creative(X))))&
(![X]:(wise(X)=>(creative(X)<~>~humble(X))))&
(((happy(paul)|~creativ... | humble(susan) | [
"p0",
"p5",
"p7",
"p8",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5164787309793917855307481
% SZS output start Proof for 5164787309793917855307481
1. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~humble(X0) | generous(X0))) [input p0]
6. (~creative(paul) | happy(paul)) <=> ~patient(susan) [input p5]
8. ! [X0] : ((happy(X0) <~> patient(X0)) <=> (quiet(X0) ... | 0 |
If mary is both not wise and not happy then paul is both not funny and curious and vice versa.
If paul is either not humble or not patient then john is either not tall or not calm and vice versa.
Everyone who is either not wise or not kind is not quiet or generous and vice versa.
Everyone who is either not rich or gene... | John is not generous. | entailment | (((~wise(mary)&~happy(mary)))<=>((~funny(paul)&curious(paul))))&
(((~humble(paul)<~>~patient(paul)))<=>((~tall(john)<~>~calm(john))))&
(![X]:((~wise(X)<~>~kind(X))<=>(~quiet(X)|generous(X))))&
(![X]:((~rich(X)<~>generous(X))<=>(~kind(X)&~rich(X))))&
(![X]:((~happy(X)<~>generous(X))=>(happy(X)<~>~strong(X))))&
(((strong... | ~generous(john) | [
"p2",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4492493707465602102329805
% SZS output start Proof for 4492493707465602102329805
3. ! [X0] : ((~wise(X0) <~> ~kind(X0)) <=> (generous(X0) | ~quiet(X0))) [input p2]
14. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> ~kind(X0)) [input p13]
23. ~kind(john) [input p22]
24. generous(john) [input hypoth... | 0 |
If someone is both not humble and not generous then someone is either curious or patient and vice versa.
Everyone who is not kind or strong is not quiet or not creative.
If susan is either curious or not kind then someone is either not generous or not old and vice versa.
If mary is patient or not calm then someone is e... | Mary is calm. | contradiction | ((?[X]:((~humble(X)&~generous(X))))<=>(?[X]:((curious(X)<~>patient(X)))))&
(![X]:((~kind(X)|strong(X))=>(~quiet(X)|~creative(X))))&
(((curious(susan)<~>~kind(susan)))<=>(?[X]:((~generous(X)<~>~old(X)))))&
(((patient(mary)|~calm(mary)))=>(?[X]:((quiet(X)<~>brave(X)))))&
((?[X]:((~wise(X)<~>~calm(X))))<=>((curious(john)|... | calm(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7668512909794083537759920
% SZS output start Proof for 7668512909794083537759920
14. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> (calm(X0) | ~funny(X0))) [input p13]
24. calm(mary) [input hypothesis]
72. ! [X0] : (((~curious(X0) & ~calm(X0)) | (~calm(X0) & funny(X0))) & ((calm(X0) | ~funny(X... | 0 |
If john is generous then someone is not old and vice versa.
If someone is either rich or wise then someone is not funny.
Everyone who is funny or curious is both tall and not strong and vice versa.
If someone is either not tall or not curious then someone is quiet and vice versa.
If someone is old or not funny then sus... | Mary is kind. | neutral | ((generous(john))<=>(?[X]:(~old(X))))&
((?[X]:((rich(X)<~>wise(X))))=>(?[X]:(~funny(X))))&
(![X]:((funny(X)|curious(X))<=>(tall(X)&~strong(X))))&
((?[X]:((~tall(X)<~>~curious(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((old(X)|~funny(X))))<=>(~happy(susan)))&
((rich(alice))=>((~curious(mary)<~>creative(mary))))&
((?[X]:(~creat... | kind(mary) | [] | null | 0 |
Everyone who is both not patient and generous is both not quiet and not brave.
If fred is not wise then paul is both not strong and strong.
If lucy is either not happy or not creative then someone is not calm.
If paul is patient or brave then someone is either patient or old and vice versa.
Everyone who is either tall ... | Fred is not wise. | contradiction | (![X]:((~patient(X)&generous(X))=>(~quiet(X)&~brave(X))))&
((~wise(fred))=>((~strong(paul)&strong(paul))))&
(((~happy(lucy)<~>~creative(lucy)))=>(?[X]:(~calm(X))))&
(((patient(paul)|brave(paul)))<=>(?[X]:((patient(X)<~>old(X)))))&
(![X]:((tall(X)<~>~humble(X))=>(humble(X)&brave(X))))&
((?[X]:((~creative(X)|humble(X))))... | ~wise(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2117280523383519672989826
% SZS output start Proof for 2117280523383519672989826
2. ~wise(fred) => (strong(paul) & ~strong(paul)) [input p1]
24. ~wise(fred) [input hypothesis]
31. (strong(paul) & ~strong(paul)) | wise(fred) [ennf transformation 2]
88. ~strong(paul) | wise(fred) [cnf trans... | 0 |
If someone is both patient and wise then someone is both tall and not curious.
Everyone who is funny is either wise or old and vice versa.
Everyone who is either wise or calm is not creative and vice versa.
If john is either not rich or brave then someone is both not quiet and not generous and vice versa.
If paul is fu... | Fred is not humble. | contradiction | ((?[X]:((patient(X)&wise(X))))=>(?[X]:((tall(X)&~curious(X)))))&
(![X]:(funny(X)<=>(wise(X)<~>old(X))))&
(![X]:((wise(X)<~>calm(X))<=>~creative(X)))&
(((~rich(john)<~>brave(john)))<=>(?[X]:((~quiet(X)&~generous(X)))))&
((funny(paul))<=>((~funny(paul)|wise(paul))))&
(![X]:((quiet(X)<~>~creative(X))<=>quiet(X)))&
((?[X]:... | ~humble(fred) | [
"p3",
"p5",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 108090690084237493947127
% SZS output start Proof for 108090690084237493947127
4. (~rich(john) <~> brave(john)) <=> ? [X0] : (~generous(X0) & ~quiet(X0)) [input p3]
6. ! [X0] : ((quiet(X0) <~> ~creative(X0)) <=> quiet(X0)) [input p5]
8. ? [X0] : (quiet(X0) <~> rich(X0)) => (~rich(fred) | ... | 0 |
Everyone who is either not rich or humble is either generous or not tall.
If someone is either creative or happy then susan is quiet or not patient and vice versa.
If someone is calm or generous then mary is both not quiet and tall.
If someone is either creative or not funny then someone is not creative or wise and vic... | Lucy is old. | entailment | (![X]:((~rich(X)<~>humble(X))=>(generous(X)<~>~tall(X))))&
((?[X]:((creative(X)<~>happy(X))))<=>((quiet(susan)|~patient(susan))))&
((?[X]:((calm(X)|generous(X))))=>((~quiet(mary)&tall(mary))))&
((?[X]:((creative(X)<~>~funny(X))))<=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((happy(X)|wise(X))=>(brave(X)|curious(X))))&
((... | old(lucy) | [
"p4",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6488654392734117414551136
% SZS output start Proof for 6488654392734117414551136
5. ! [X0] : ((wise(X0) | happy(X0)) => (curious(X0) | brave(X0))) [input p4]
7. ! [X0] : ((~happy(X0) <~> ~rich(X0)) => ~patient(X0)) [input p6]
9. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (rich(X0) & ~quiet(X... | 0 |
Everyone who is either curious or not old is both rich and not quiet. Everyone who is strong is not patient and vice versa. Everyone who is either patient or rich is not strong or not happy. Everyone who is either not kind or kind is generous or not curious and vice versa. Everyone who is either not creative or not qui... | John is not curious. | neutral | (![X]:((curious(X)<~>~old(X))=>(rich(X)&~quiet(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:((patient(X)<~>rich(X))=>(~strong(X)|~happy(X))))&
(![X]:((~kind(X)<~>kind(X))<=>(generous(X)|~curious(X))))&
(![X]:((~creative(X)<~>~quiet(X))=>~funny(X)))&
((quiet(john))=>(?[X]:(humble(X))))&
(![X]:((strong(X)<~>curious(X))... | ~curious(john) | [] | null | 0 |
If susan is not brave or not humble then someone is either not tall or wise and vice versa.
Everyone who is not generous is generous or not funny.
Everyone who is patient is either not kind or funny.
Everyone who is both curious and not wise is not funny.
Everyone who is both not patient and not humble is either funny ... | Alice is quiet. | contradiction | (((~brave(susan)|~humble(susan)))<=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:(~generous(X)=>(generous(X)|~funny(X))))&
(![X]:(patient(X)=>(~kind(X)<~>funny(X))))&
(![X]:((curious(X)&~wise(X))=>~funny(X)))&
(![X]:((~patient(X)&~humble(X))<=>(funny(X)<~>~old(X))))&
(![X]:((tall(X)<~>funny(X))<=>calm(X)))&
((?[X]:((wise(X)&r... | quiet(alice) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5984714280614259345898132
% SZS output start Proof for 5984714280614259345898132
9. ! [X0] : (quiet(X0) <=> (~tall(X0) & funny(X0))) [input p8]
17. tall(alice) [input p16]
25. quiet(alice) [input hypothesis]
52. ! [X0] : ((quiet(X0) | (tall(X0) | ~funny(X0))) & ((~tall(X0) & funny(X0)) | ... | 0 |
If mary is calm then someone is not quiet.
If someone is either wise or not happy then someone is either not humble or not quiet.
If someone is either old or creative then someone is quiet.
Everyone who is either not humble or patient is either tall or creative and vice versa.
Everyone who is humble or brave is not tal... | Fred is humble. | contradiction | ((calm(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((old(X)<~>creative(X))))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)<~>patient(X))<=>(tall(X)<~>creative(X))))&
(![X]:((humble(X)|brave(X))=>(~tall(X)|~humble(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(patient(X... | humble(fred) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6609355319256245253374929
% SZS output start Proof for 6609355319256245253374929
8. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p7]
14. ! [X0] : (strong(X0) <=> (wise(X0) & ~humble(X0))) [input p13]
24. humble(fred) [input hypothesis]
48. ! [X0] : (((~strong... | 0 |
Everyone who is either not rich or strong is brave or strong.
Everyone who is both not calm and not wise is either brave or tall.
Everyone who is either strong or not generous is either calm or not happy and vice versa.
If someone is generous or not old then someone is either not wise or not humble and vice versa.
Ever... | Paul is not strong. | contradiction | (![X]:((~rich(X)<~>strong(X))=>(brave(X)|strong(X))))&
(![X]:((~calm(X)&~wise(X))=>(brave(X)<~>tall(X))))&
(![X]:((strong(X)<~>~generous(X))<=>(calm(X)<~>~happy(X))))&
((?[X]:((generous(X)|~old(X))))<=>(?[X]:((~wise(X)<~>~humble(X)))))&
(![X]:((~quiet(X)|calm(X))<=>(~old(X)&~kind(X))))&
(![X]:((~rich(X)&~wise(X))=>(~ki... | ~strong(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5595115537693558381945653
% SZS output start Proof for 5595115537693558381945653
11. ! [X0] : ((~strong(X0) | ~generous(X0)) => (~rich(X0) & strong(X0))) [input p10]
25. ~strong(paul) [input hypothesis]
36. ! [X0] : ((~rich(X0) & strong(X0)) | (strong(X0) & generous(X0))) [ennf transforma... | 0 |
Everyone who is brave or not generous is happy. Everyone who is either not brave or not humble is both not rich and wise and vice versa. If lucy is not humble or strong then fred is both not brave and strong and vice versa. If someone is not strong then someone is either not humble or not calm and vice versa. Everyone ... | Lucy is not creative. | neutral | (![X]:((brave(X)|~generous(X))=>happy(X)))&
(![X]:((~brave(X)<~>~humble(X))<=>(~rich(X)&wise(X))))&
(((~humble(lucy)|strong(lucy)))<=>((~brave(fred)&strong(fred))))&
((?[X]:(~strong(X)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(![X]:((humble(X)|~old(X))=>(~curious(X)&calm(X))))&
(![X]:(happy(X)<=>(humble(X)&calm(X))))&
(!... | ~creative(lucy) | [] | null | 0 |
Everyone who is both not tall and creative is not brave and vice versa.
Everyone who is either brave or not brave is happy or not wise and vice versa.
If alice is both not quiet and not kind then someone is not brave or curious and vice versa.
If fred is rich or not humble then john is quiet or not kind and vice versa.... | Paul is not humble. | neutral | (![X]:((~tall(X)&creative(X))<=>~brave(X)))&
(![X]:((brave(X)<~>~brave(X))<=>(happy(X)|~wise(X))))&
(((~quiet(alice)&~kind(alice)))<=>(?[X]:((~brave(X)|curious(X)))))&
(((rich(fred)|~humble(fred)))<=>((quiet(john)|~kind(john))))&
(((~kind(mary)&~tall(mary)))<=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((~strong(X)|~old(X... | ~humble(paul) | [] | null | 0 |
If someone is either curious or strong then someone is both not old and not curious and vice versa.
Everyone who is not quiet is curious and vice versa.
If someone is either rich or brave then alice is either funny or wise and vice versa.
Everyone who is not strong is both wise and not kind.
Everyone who is either not ... | Mary is old. | entailment | ((?[X]:((curious(X)<~>strong(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((rich(X)<~>brave(X))))<=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave(X)<~>creative... | old(mary) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1474021840080574676146344
% SZS output start Proof for 1474021840080574676146344
4. ! [X0] : (~strong(X0) => (~kind(X0) & wise(X0))) [input p3]
7. ! [X0] : (rich(X0) <=> (wise(X0) <~> happy(X0))) [input p6]
8. ! [X0] : (~rich(X0) <=> ~old(X0)) [input p7]
9. ? [X0] : ~generous(X0) <=> ? [X... | 0 |
If someone is either curious or not happy then alice is either not happy or not calm and vice versa. If mary is creative then paul is tall. Everyone who is both not calm and brave is brave or not brave. If susan is either not rich or not quiet then someone is not generous or curious and vice versa. Everyone who is eith... | Fred is generous. | neutral | ((?[X]:((curious(X)<~>~happy(X))))<=>((~happy(alice)<~>~calm(alice))))&
((creative(mary))=>(tall(paul)))&
(![X]:((~calm(X)&brave(X))=>(brave(X)|~brave(X))))&
(((~rich(susan)<~>~quiet(susan)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((~humble(X)<~>~creative(X))=>(~brave(X)<~>~wise(X))))&
((~happy(fred))=>((happy(al... | generous(fred) | [] | null | 0 |
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then alice is either creative or generous and vice versa.
Everyo... | Susan is old. | contradiction | ((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~brave(X))=>(~patient(X)|~strong(X))))&
((?[X]:((~humble(X... | old(susan) | [
"p2",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3647003397674698184578702
% SZS output start Proof for 3647003397674698184578702
3. ? [X0] : curious(X0) => (~strong(susan) <~> ~old(susan)) [input p2]
10. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~curious(X0) <~> humble(X0))) [input p9]
15. ! [X0] : ((~strong(X0) <~> ~brave(X0)) <=> (~o... | 0 |
If alice is either not funny or patient then mary is both not rich and not wise and vice versa.
Everyone who is brave or generous is both not calm and not old.
Everyone who is both tall and not kind is both not calm and not brave and vice versa.
Everyone who is both not kind and rich is not tall and vice versa.
If alic... | Fred is not tall. | neutral | (((~funny(alice)<~>patient(alice)))<=>((~rich(mary)&~wise(mary))))&
(![X]:((brave(X)|generous(X))=>(~calm(X)&~old(X))))&
(![X]:((tall(X)&~kind(X))<=>(~calm(X)&~brave(X))))&
(![X]:((~kind(X)&rich(X))<=>~tall(X)))&
(((old(alice)&~brave(alice)))=>(?[X]:((rich(X)|old(X)))))&
(![X]:((~strong(X)&~old(X))<=>(funny(X)<~>patien... | ~tall(fred) | [] | null | 0 |
If john is both not humble and humble then someone is not calm and vice versa. Everyone who is both not brave and strong is either generous or not old. Everyone who is either strong or not brave is either not calm or happy and vice versa. Everyone who is both quiet and not creative is creative. Everyone who is both not... | Paul is happy. | entailment | (((~humble(john)&humble(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)&strong(X))=>(generous(X)<~>~old(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((quiet(X)&~creative(X))=>creative(X)))&
(![X]:((~humble(X)&wise(X))=>(brave(X)&patient(X))))&
((~happy(alice))<=>((rich(lucy)<~>~brave(lucy))))&... | happy(paul) | [
"p0",
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1717514741907227355792223
% SZS output start Proof for 1717514741907227355792223
1. (humble(john) & ~humble(john)) <=> ? [X0] : ~calm(X0) [input p0]
3. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> (~calm(X0) <~> happy(X0))) [input p2]
7. (~quiet(susan) & strong(susan)) <=> ? [X0] : (~kind(X0... | 0 |
If someone is not kind then paul is both patient and quiet.
If paul is both not wise and old then someone is not humble.
Everyone who is either not rich or kind is not strong or not happy and vice versa.
If someone is either not kind or old then someone is either not wise or not brave and vice versa.
Everyone who is bo... | Lucy is funny. | neutral | ((?[X]:(~kind(X)))=>((patient(paul)&quiet(paul))))&
(((~wise(paul)&old(paul)))=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>kind(X))<=>(~strong(X)|~happy(X))))&
((?[X]:((~kind(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>~brave(X)))))&
(![X]:((~creative(X)&strong(X))=>(~rich(X)&calm(X))))&
((?[X]:((happy(X)&strong(X))))=>((~old(jo... | funny(lucy) | [] | null | 0 |
If someone is generous then someone is not brave.
Everyone who is both not calm and curious is not curious or strong.
If someone is either not funny or curious then someone is either kind or rich.
Everyone who is either not humble or kind is either not curious or not happy and vice versa.
If fred is not kind then someo... | Mary is not strong. | neutral | ((?[X]:(generous(X)))=>(?[X]:(~brave(X))))&
(![X]:((~calm(X)&curious(X))=>(~curious(X)|strong(X))))&
((?[X]:((~funny(X)<~>curious(X))))=>(?[X]:((kind(X)<~>rich(X)))))&
(![X]:((~humble(X)<~>kind(X))<=>(~curious(X)<~>~happy(X))))&
((~kind(fred))<=>(?[X]:((quiet(X)|~strong(X)))))&
(![X]:((~quiet(X)<~>quiet(X))<=>(~strong(... | ~strong(mary) | [] | null | 0 |
Everyone who is rich or not brave is either patient or not humble.
Everyone who is not rich or strong is both calm and quiet.
Everyone who is both old and creative is either not tall or tall and vice versa.
Everyone who is either not kind or not humble is quiet and vice versa.
Everyone who is brave is both curious and ... | Lucy is brave. | entailment | (![X]:((rich(X)|~brave(X))=>(patient(X)<~>~humble(X))))&
(![X]:((~rich(X)|strong(X))=>(calm(X)&quiet(X))))&
(![X]:((old(X)&creative(X))<=>(~tall(X)<~>tall(X))))&
(![X]:((~kind(X)<~>~humble(X))<=>quiet(X)))&
(![X]:(brave(X)=>(curious(X)&~generous(X))))&
(![X]:((funny(X)|~brave(X))=>(old(X)<~>~brave(X))))&
((?[X]:((~wise... | brave(lucy) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8278418938466339420307094
% SZS output start Proof for 8278418938466339420307094
3. ! [X0] : ((creative(X0) & old(X0)) <=> (~tall(X0) <~> tall(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | funny(X0)) => (old(X0) <~> ~brave(X0))) [input p5]
21. ~brave(lucy) [input hypothesis]
29. ! [X0] : ((... | 0 |
If paul is creative or not strong then someone is both not happy and funny and vice versa.
If mary is strong then lucy is generous or calm.
Everyone who is both not old and not calm is tall.
Everyone who is both not humble and not generous is not kind and vice versa.
Everyone who is both not creative and kind is both c... | Paul is old. | contradiction | (((creative(paul)|~strong(paul)))<=>(?[X]:((~happy(X)&funny(X)))))&
((strong(mary))=>((generous(lucy)|calm(lucy))))&
(![X]:((~old(X)&~calm(X))=>tall(X)))&
(![X]:((~humble(X)&~generous(X))<=>~kind(X)))&
(![X]:((~creative(X)&kind(X))<=>(creative(X)&~patient(X))))&
((?[X]:((kind(X)|quiet(X))))=>(?[X]:((~kind(X)|~brave(X))... | old(paul) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3821692300880161326250407
% SZS output start Proof for 3821692300880161326250407
1. (~strong(paul) | creative(paul)) <=> ? [X0] : (funny(X0) & ~happy(X0)) [input p0]
13. ! [X0] : ((~creative(X0) <~> creative(X0)) <=> happy(X0)) [input p12]
15. ! [X0] : ((calm(X0) & ~strong(X0)) <=> old(X0... | 0 |
Everyone who is both old and not calm is either calm or funny. If someone is both funny and not creative then fred is strong or creative. Everyone who is both strong and creative is either not kind or not happy. Everyone who is brave or not generous is both not calm and kind. Everyone who is not brave or not rich is bo... | Susan is generous. | entailment | (![X]:((old(X)&~calm(X))=>(calm(X)<~>funny(X))))&
((?[X]:((funny(X)&~creative(X))))=>((strong(fred)|creative(fred))))&
(![X]:((strong(X)&creative(X))=>(~kind(X)<~>~happy(X))))&
(![X]:((brave(X)|~generous(X))=>(~calm(X)&kind(X))))&
(![X]:((~brave(X)|~rich(X))<=>(funny(X)&patient(X))))&
(![X]:((old(X)<~>~brave(X))<=>(cur... | generous(susan) | [
"p0",
"p3",
"p4",
"p8",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1916266154248051736424696
% SZS output start Proof for 1916266154248051736424696
1. ! [X0] : ((~calm(X0) & old(X0)) => (calm(X0) <~> funny(X0))) [input p0]
4. ! [X0] : ((~generous(X0) | brave(X0)) => (kind(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (patient(X0)... | 0 |
Everyone who is humble is not calm or wise and vice versa.
If susan is both kind and not wise then someone is not kind and vice versa.
Everyone who is not tall is not quiet and vice versa.
Everyone who is both not funny and not creative is not rich and vice versa.
If someone is both not humble and not strong then someo... | Lucy is kind. | neutral | (![X]:(humble(X)<=>(~calm(X)|wise(X))))&
(((kind(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(~tall(X)<=>~quiet(X)))&
(![X]:((~funny(X)&~creative(X))<=>~rich(X)))&
((?[X]:((~humble(X)&~strong(X))))<=>(?[X]:((kind(X)<~>~happy(X)))))&
(![X]:((creative(X)<~>~old(X))=>(happy(X)&tall(X))))&
(![X]:(~strong(X)=>kind(X))... | kind(lucy) | [] | null | 0 |
If mary is tall or not humble then mary is not strong or quiet. If someone is kind or not kind then susan is not strong and vice versa. Everyone who is brave is both old and not patient and vice versa. Everyone who is both not brave and not rich is not old. Everyone who is wise is both happy and creative and vice versa... | Susan is patient. | contradiction | (((tall(mary)|~humble(mary)))=>((~strong(mary)|quiet(mary))))&
((?[X]:((kind(X)|~kind(X))))<=>(~strong(susan)))&
(![X]:(brave(X)<=>(old(X)&~patient(X))))&
(![X]:((~brave(X)&~rich(X))=>~old(X)))&
(![X]:(wise(X)<=>(happy(X)&creative(X))))&
(![X]:((calm(X)&~happy(X))=>(~calm(X)<~>~tall(X))))&
(((~patient(susan)<~>kind(sus... | patient(susan) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7947769595584762946718422
% SZS output start Proof for 7947769595584762946718422
2. ? [X0] : (~kind(X0) | kind(X0)) <=> ~strong(susan) [input p1]
14. ! [X0] : (patient(X0) => (calm(X0) & strong(X0))) [input p13]
24. patient(susan) [input hypothesis]
43. ! [X0] : ((calm(X0) & strong(X0)) |... | 0 |
Everyone who is not strong is both not tall and generous. Everyone who is not kind is not generous or strong and vice versa. Everyone who is both not calm and not creative is not humble and vice versa. Everyone who is wise or not tall is not funny and vice versa. Everyone who is not patient is tall or creative and vice... | John is quiet. | neutral | (![X]:(~strong(X)=>(~tall(X)&generous(X))))&
(![X]:(~kind(X)<=>(~generous(X)|strong(X))))&
(![X]:((~calm(X)&~creative(X))<=>~humble(X)))&
(![X]:((wise(X)|~tall(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(tall(X)|creative(X))))&
(![X]:(~quiet(X)<=>(~old(X)|curious(X))))&
((?[X]:((funny(X)<~>creative(X))))=>((generous(mary)... | quiet(john) | [] | null | 0 |
Everyone who is not brave or curious is not tall or not strong and vice versa.
If someone is either not wise or not old then john is kind.
If someone is both not calm and funny then alice is not old.
Everyone who is either creative or patient is not tall and vice versa.
Everyone who is not kind is either not creative o... | Lucy is not curious. | entailment | (![X]:((~brave(X)|curious(X))<=>(~tall(X)|~strong(X))))&
((?[X]:((~wise(X)<~>~old(X))))=>(kind(john)))&
((?[X]:((~calm(X)&funny(X))))=>(~old(alice)))&
(![X]:((creative(X)<~>patient(X))<=>~tall(X)))&
(![X]:(~kind(X)<=>(~creative(X)<~>patient(X))))&
(![X]:(wise(X)<=>(~generous(X)|tall(X))))&
((?[X]:((~humble(X)|~rich(X))... | ~curious(lucy) | [
"p3",
"p4",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8988733487127544537226644
% SZS output start Proof for 8988733487127544537226644
4. ! [X0] : ((creative(X0) <~> patient(X0)) <=> ~tall(X0)) [input p3]
5. ! [X0] : (~kind(X0) <=> (~creative(X0) <~> patient(X0))) [input p4]
9. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (~humble(X0) & ~quiet(X0))... | 0 |
Everyone who is both kind and quiet is either wise or old and vice versa. If someone is quiet then alice is both creative and not old and vice versa. Everyone who is either brave or not patient is old or wise. Everyone who is patient is not strong or not brave and vice versa. Everyone who is both wise and happy is not ... | Lucy is creative. | neutral | (![X]:((kind(X)&quiet(X))<=>(wise(X)<~>old(X))))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~... | creative(lucy) | [] | null | 0 |
Everyone who is funny is quiet.
If mary is either humble or happy then susan is either wise or brave.
If mary is not happy then someone is not wise or not rich.
If someone is not happy then someone is brave or not quiet.
Everyone who is brave or strong is either not creative or not humble.
Everyone who is strong or not... | Fred is generous. | neutral | (![X]:(funny(X)=>quiet(X)))&
(((humble(mary)<~>happy(mary)))=>((wise(susan)<~>brave(susan))))&
((~happy(mary))=>(?[X]:((~wise(X)|~rich(X)))))&
((?[X]:(~happy(X)))=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((brave(X)|strong(X))=>(~creative(X)<~>~humble(X))))&
(![X]:((strong(X)|~wise(X))<=>(patient(X)&~brave(X))))&
(((~quie... | generous(fred) | [] | null | 0 |
Everyone who is not happy is either rich or not curious and vice versa. If someone is tall or not funny then fred is both not brave and calm and vice versa. If john is not happy or not curious then someone is not brave or funny and vice versa. If lucy is either calm or happy then mary is either not creative or not tall... | Alice is not patient. | neutral | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
((?[X]:((tall(X)|~funny(X))))<=>((~brave(fred)&calm(fred))))&
(((~happy(john)|~curious(john)))<=>(?[X]:((~brave(X)|funny(X)))))&
(((calm(lucy)<~>happy(lucy)))<=>((~creative(mary)<~>~tall(mary))))&
(((~calm(alice)<~>~humble(alice)))=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~... | ~patient(alice) | [] | null | 0 |
Everyone who is not tall is either not old or generous and vice versa.
If someone is not calm then john is curious and vice versa.
If susan is not calm then someone is not old and vice versa.
Everyone who is both not curious and rich is not quiet.
If paul is funny or calm then mary is both not generous and tall and vic... | John is generous. | neutral | (![X]:(~tall(X)<=>(~old(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>(curious(john)))&
((~calm(susan))<=>(?[X]:(~old(X))))&
(![X]:((~curious(X)&rich(X))=>~quiet(X)))&
(((funny(paul)|calm(paul)))<=>((~generous(mary)&tall(mary))))&
((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:(~creative(X))))&
((kind(john))<=>((happy(alice... | generous(john) | [] | null | 0 |
Everyone who is happy or not rich is not wise.
If john is both creative and not strong then mary is both not kind and quiet.
Everyone who is rich or quiet is both creative and happy and vice versa.
Everyone who is both happy and not creative is both not kind and not wise and vice versa.
If someone is either humble or n... | Lucy is not kind. | contradiction | (![X]:((happy(X)|~rich(X))=>~wise(X)))&
(((creative(john)&~strong(john)))=>((~kind(mary)&quiet(mary))))&
(![X]:((rich(X)|quiet(X))<=>(creative(X)&happy(X))))&
(![X]:((happy(X)&~creative(X))<=>(~kind(X)&~wise(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)&patient(X))=>(~humble(X)|... | ~kind(lucy) | [
"p0",
"p2",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3606437127165942394339082
% SZS output start Proof for 3606437127165942394339082
1. ! [X0] : ((~rich(X0) | happy(X0)) => ~wise(X0)) [input p0]
3. ! [X0] : ((quiet(X0) | rich(X0)) <=> (happy(X0) & creative(X0))) [input p2]
4. ! [X0] : ((~creative(X0) & happy(X0)) <=> (~wise(X0) & ~kind(X0)... | 0 |
Everyone who is either curious or not quiet is either not brave or not curious and vice versa.
Everyone who is not humble or kind is curious or not curious and vice versa.
If lucy is both wise and curious then paul is either funny or tall and vice versa.
If paul is not tall or not kind then mary is tall.
Everyone who i... | Susan is strong. | neutral | (![X]:((curious(X)<~>~quiet(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:((~humble(X)|kind(X))<=>(curious(X)|~curious(X))))&
(((wise(lucy)&curious(lucy)))<=>((funny(paul)<~>tall(paul))))&
(((~tall(paul)|~kind(paul)))=>(tall(mary)))&
(![X]:((~calm(X)<~>~old(X))<=>(~humble(X)&humble(X))))&
(![X]:(funny(X)<=>(humble(X)&patien... | strong(susan) | [] | null | 0 |
Everyone who is both not tall and not funny is quiet or not old and vice versa.
If someone is not old then someone is either kind or not wise.
If someone is funny or tall then someone is humble and vice versa.
Everyone who is calm or not calm is both brave and not quiet and vice versa.
Everyone who is not curious or ki... | Mary is not curious. | contradiction | (![X]:((~tall(X)&~funny(X))<=>(quiet(X)|~old(X))))&
((?[X]:(~old(X)))=>(?[X]:((kind(X)<~>~wise(X)))))&
((?[X]:((funny(X)|tall(X))))<=>(?[X]:(humble(X))))&
(![X]:((calm(X)|~calm(X))<=>(brave(X)&~quiet(X))))&
(![X]:((~curious(X)|kind(X))=>(happy(X)<~>humble(X))))&
(![X]:((~curious(X)&strong(X))<=>(~funny(X)<~>wise(X))))&... | ~curious(mary) | [
"p3",
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3387146428701985989302396
% SZS output start Proof for 3387146428701985989302396
4. ! [X0] : ((~calm(X0) | calm(X0)) <=> (~quiet(X0) & brave(X0))) [input p3]
5. ! [X0] : ((kind(X0) | ~curious(X0)) => (happy(X0) <~> humble(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (~humbl... | 0 |
If alice is not tall then alice is not creative and vice versa.
If lucy is either not quiet or tall then susan is both not tall and not kind.
Everyone who is either not curious or not calm is either strong or not generous.
Everyone who is either tall or not quiet is either not funny or old and vice versa.
Everyone who ... | Paul is not patient. | entailment | ((~tall(alice))<=>(~creative(alice)))&
(((~quiet(lucy)<~>tall(lucy)))=>((~tall(susan)&~kind(susan))))&
(![X]:((~curious(X)<~>~calm(X))=>(strong(X)<~>~generous(X))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~humble(X)|strong(X))<=>~curious(X)))&
(![X]:((generous(X)|~curious(X))=>(~rich(X)|kind(X))... | ~patient(paul) | [
"p9",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 267140378670702964542353
% SZS output start Proof for 267140378670702964542353
10. ? [X0] : strong(X0) <=> ? [X0] : (humble(X0) <~> curious(X0)) [input p9]
12. ? [X0] : (~calm(X0) | curious(X0)) <=> (old(paul) & ~patient(paul)) [input p11]
16. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~ca... | 0 |
If mary is either strong or not curious then someone is both not calm and not old. Everyone who is not wise or rich is not brave or not quiet. Everyone who is either not tall or quiet is humble. Everyone who is creative is either not kind or not curious and vice versa. If john is both not kind and not brave then fred i... | Lucy is generous. | entailment | (((strong(mary)<~>~curious(mary)))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((~wise(X)|rich(X))=>(~brave(X)|~quiet(X))))&
(![X]:((~tall(X)<~>quiet(X))=>humble(X)))&
(![X]:(creative(X)<=>(~kind(X)<~>~curious(X))))&
(((~kind(john)&~brave(john)))<=>((~wise(fred)&curious(fred))))&
(((~tall(fred)&~curious(fred)))=>(?[X]:(~stron... | generous(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4278743268945051143275341
% SZS output start Proof for 4278743268945051143275341
23. calm(lucy) & generous(lucy) [input p22]
24. ~generous(lucy) [input hypothesis]
133. generous(lucy) [cnf transformation 23]
135. ~generous(lucy) [cnf transformation 24]
283. $false [subsumption resolution ... | 0 |
If lucy is either not kind or wise then john is both not rich and wise and vice versa. Everyone who is either generous or creative is happy and vice versa. Everyone who is not funny or funny is not wise or brave. Everyone who is both not funny and funny is not funny and vice versa. Everyone who is brave is either not w... | Mary is old. | entailment | (((~kind(lucy)<~>wise(lucy)))<=>((~rich(john)&wise(john))))&
(![X]:((generous(X)<~>creative(X))<=>happy(X)))&
(![X]:((~funny(X)|funny(X))=>(~wise(X)|brave(X))))&
(![X]:((~funny(X)&funny(X))<=>~funny(X)))&
(![X]:(brave(X)<=>(~wise(X)<~>~happy(X))))&
(![X]:(brave(X)<=>(~wise(X)&~old(X))))&
((?[X]:(creative(X)))<=>(?[X]:(... | old(mary) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 616021999204810127280040
% SZS output start Proof for 616021999204810127280040
2. ! [X0] : ((generous(X0) <~> creative(X0)) <=> happy(X0)) [input p1]
3. ! [X0] : ((funny(X0) | ~funny(X0)) => (brave(X0) | ~wise(X0))) [input p2]
5. ! [X0] : (brave(X0) <=> (~wise(X0) <~> ~happy(X0))) [input ... | 0 |
Everyone who is not curious is both old and not wise.
If someone is kind or strong then mary is not brave and vice versa.
Everyone who is not old is not curious and vice versa.
Everyone who is curious is not creative and vice versa.
If someone is not brave or generous then paul is curious or strong and vice versa.
Ever... | John is humble. | contradiction | (![X]:(~curious(X)=>(old(X)&~wise(X))))&
((?[X]:((kind(X)|strong(X))))<=>(~brave(mary)))&
(![X]:(~old(X)<=>~curious(X)))&
(![X]:(curious(X)<=>~creative(X)))&
((?[X]:((~brave(X)|generous(X))))<=>((curious(paul)|strong(paul))))&
(![X]:((~happy(X)|kind(X))=>(~rich(X)&~humble(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(~creat... | humble(john) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2758216864053007326566897
% SZS output start Proof for 2758216864053007326566897
1. ! [X0] : (~curious(X0) => (~wise(X0) & old(X0))) [input p0]
3. ! [X0] : (~old(X0) <=> ~curious(X0)) [input p2]
4. ! [X0] : (curious(X0) <=> ~creative(X0)) [input p3]
7. ! [X0] : ((~quiet(X0) & ~patient(X0)... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then someone is curious and vice versa.
Everyone who is both curious and brave is not creative or not brave.
Everyone who is curious or not strong is kind or curious and vice versa.
If someone ... | Fred is not old. | entailment | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(curious(X))))&
(![X]:((curious(X)&brave(X))=>(~creative(X)|~brave(X))))&
(![X]:((curious(X)|~strong(X))<=>(kind(X)|curious(X))))&
((?[X]:((rich(X)<~>quiet(X))))=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(paul)|patient(pa... | ~old(fred) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3162872597475693652244489
% SZS output start Proof for 3162872597475693652244489
16. ! [X0] : (~brave(X0) <=> (quiet(X0) | old(X0))) [input p15]
23. brave(fred) [input p22]
25. old(fred) [input hypothesis]
75. ! [X0] : ((~brave(X0) | (~quiet(X0) & ~old(X0))) & ((quiet(X0) | old(X0)) | bra... | 0 |
Everyone who is either tall or calm is both not calm and not quiet. Everyone who is not creative is both not rich and creative and vice versa. If someone is not happy then someone is not curious and vice versa. If paul is both not humble and wise then alice is creative or humble and vice versa. Everyone who is both hap... | Fred is not quiet. | entailment | (![X]:((tall(X)<~>calm(X))=>(~calm(X)&~quiet(X))))&
(![X]:(~creative(X)<=>(~rich(X)&creative(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~curious(X))))&
(((~humble(paul)&wise(paul)))<=>((creative(alice)|humble(alice))))&
(![X]:((happy(X)&~patient(X))=>(curious(X)|~strong(X))))&
(![X]:(~wise(X)=>(curious(X)|~brave(X))))&
(![X]:... | ~quiet(fred) | [
"p1",
"p2",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8216316894189573968314475
% SZS output start Proof for 8216316894189573968314475
2. ! [X0] : (~creative(X0) <=> (creative(X0) & ~rich(X0))) [input p1]
3. ? [X0] : ~happy(X0) <=> ? [X0] : ~curious(X0) [input p2]
12. (tall(fred) & ~quiet(fred)) <=> ? [X0] : ~happy(X0) [input p11]
18. ? [X0]... | 0 |
Everyone who is patient or kind is not rich. If someone is kind or not quiet then someone is either wise or humble and vice versa. If susan is both not calm and quiet then someone is not patient and vice versa. If someone is both creative and generous then someone is strong or not happy and vice versa. Everyone who is ... | Susan is wise. | entailment | (![X]:((patient(X)|kind(X))=>~rich(X)))&
((?[X]:((kind(X)|~quiet(X))))<=>(?[X]:((wise(X)<~>humble(X)))))&
(((~calm(susan)&quiet(susan)))<=>(?[X]:(~patient(X))))&
((?[X]:((creative(X)&generous(X))))<=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(calm(X)<=>~wise(X)))&
((?[X]:(quiet(X)))=>((~tall(alice)<~>~old(alice))))&
(![X]... | wise(susan) | [
"p2",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1428494475424406752458992
% SZS output start Proof for 1428494475424406752458992
3. (quiet(susan) & ~calm(susan)) <=> ? [X0] : ~patient(X0) [input p2]
5. ! [X0] : (calm(X0) <=> ~wise(X0)) [input p4]
19. ? [X0] : (~patient(X0) & ~quiet(X0)) [input p18]
25. ~wise(susan) [input hypothesis]
4... | 0 |
If someone is not curious then someone is not kind.
Everyone who is both not strong and not humble is not happy and vice versa.
If someone is either old or wise then someone is curious or funny.
If someone is patient then someone is not generous or not rich and vice versa.
Everyone who is both rich and not calm is eith... | Fred is funny. | entailment | ((?[X]:(~curious(X)))=>(?[X]:(~kind(X))))&
(![X]:((~strong(X)&~humble(X))<=>~happy(X)))&
((?[X]:((old(X)<~>wise(X))))=>(?[X]:((curious(X)|funny(X)))))&
((?[X]:(patient(X)))<=>(?[X]:((~generous(X)|~rich(X)))))&
(![X]:((rich(X)&~calm(X))<=>(~creative(X)<~>wise(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>(funny(X)<~>humble(X)))... | funny(fred) | [
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5342972547589830526436716
% SZS output start Proof for 5342972547589830526436716
10. ! [X0] : ((creative(X0) | curious(X0)) => funny(X0)) [input p9]
14. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (~funny(X0) & ~old(X0))) [input p13]
23. old(fred) [input p22]
25. ~funny(fred) [input hypo... | 0 |
Everyone who is not rich is wise or brave. If someone is both tall and funny then john is old. Everyone who is brave is either tall or strong. Everyone who is creative or not curious is both patient and quiet and vice versa. Everyone who is both strong and not brave is strong or not rich and vice versa. Everyone who is... | Susan is not rich. | entailment | (![X]:(~rich(X)=>(wise(X)|brave(X))))&
((?[X]:((tall(X)&funny(X))))=>(old(john)))&
(![X]:(brave(X)=>(tall(X)<~>strong(X))))&
(![X]:((creative(X)|~curious(X))<=>(patient(X)&quiet(X))))&
(![X]:((strong(X)&~brave(X))<=>(strong(X)|~rich(X))))&
(![X]:((funny(X)&generous(X))<=>(~wise(X)<~>~patient(X))))&
(((~curious(alice)|~... | ~rich(susan) | [
"p0",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7824961429164357702698678
% SZS output start Proof for 7824961429164357702698678
1. ! [X0] : (~rich(X0) => (brave(X0) | wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) & strong(X0)) <=> (~rich(X0) | strong(X0))) [input p4]
8. ? [X0] : (rich(X0) | ~tall(X0)) => ? [X0] : (~wise(X0) & ~rich(X... | 0 |
Everyone who is not happy or rich is either not wise or not curious and vice versa.
Everyone who is both not brave and wise is both humble and not old.
Everyone who is both not happy and not funny is either not creative or not strong.
If someone is not generous or quiet then someone is both not patient and not quiet.
I... | Lucy is not generous. | contradiction | (![X]:((~happy(X)|rich(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~brave(X)&wise(X))=>(humble(X)&~old(X))))&
(![X]:((~happy(X)&~funny(X))=>(~creative(X)<~>~strong(X))))&
((?[X]:((~generous(X)|quiet(X))))=>(?[X]:((~patient(X)&~quiet(X)))))&
(((~kind(lucy)<~>old(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((~quiet(X)|creative(X))=... | ~generous(lucy) | [
"p3",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7495017057204183275348754
% SZS output start Proof for 7495017057204183275348754
4. ? [X0] : (quiet(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) & ~patient(X0)) [input p3]
13. ! [X0] : ((~strong(X0) | ~patient(X0)) => (patient(X0) <~> tall(X0))) [input p12]
16. ! [X0] : ((~rich(X0) | tall... | 0 |
If alice is both not creative and not humble then fred is not tall and vice versa.
If john is both not brave and creative then someone is not patient or humble.
If someone is creative then someone is both old and rich.
If someone is either quiet or strong then someone is calm or happy and vice versa.
If paul is not hum... | Fred is tall. | contradiction | (((~creative(alice)&~humble(alice)))<=>(~tall(fred)))&
(((~brave(john)&creative(john)))=>(?[X]:((~patient(X)|humble(X)))))&
((?[X]:(creative(X)))=>(?[X]:((old(X)&rich(X)))))&
((?[X]:((quiet(X)<~>strong(X))))<=>(?[X]:((calm(X)|happy(X)))))&
((~humble(paul))<=>(~brave(paul)))&
(![X]:((humble(X)|strong(X))<=>(curious(X)&~... | tall(fred) | [
"p5",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2232461214485913807402068
% SZS output start Proof for 2232461214485913807402068
6. ! [X0] : ((strong(X0) | humble(X0)) <=> (~generous(X0) & curious(X0))) [input p5]
13. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> curious(X0)) [input p12]
16. ! [X0] : ((creative(X0) | tall(X0)) => (creative(X0)... | 0 |
Everyone who is curious or funny is either not patient or creative.
If fred is not happy or calm then someone is either curious or generous.
If alice is either patient or not tall then susan is humble or brave.
Everyone who is not tall is patient and vice versa.
If someone is either not humble or funny then someone is ... | Fred is patient. | entailment | (![X]:((curious(X)|funny(X))=>(~patient(X)<~>creative(X))))&
(((~happy(fred)|calm(fred)))=>(?[X]:((curious(X)<~>generous(X)))))&
(((patient(alice)<~>~tall(alice)))=>((humble(susan)|brave(susan))))&
(![X]:(~tall(X)<=>patient(X)))&
((?[X]:((~humble(X)<~>funny(X))))=>(?[X]:((~patient(X)|~happy(X)))))&
(![X]:(~calm(X)<=>(~... | patient(fred) | [
"p0",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7166408444481506523617258
% SZS output start Proof for 7166408444481506523617258
1. ! [X0] : ((funny(X0) | curious(X0)) => (~patient(X0) <~> creative(X0))) [input p0]
7. ! [X0] : (~creative(X0) <=> (~happy(X0) & generous(X0))) [input p6]
8. ! [X0] : ((creative(X0) & funny(X0)) <=> ~curiou... | 0 |
If alice is strong then someone is not kind or kind. Everyone who is humble or not quiet is either tall or wise. If susan is curious then someone is strong or not brave. If alice is not kind then lucy is not curious. If susan is both rich and not quiet then paul is not brave or creative and vice versa. Everyone who is ... | Alice is kind. | neutral | ((strong(alice))=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:((humble(X)|~quiet(X))=>(tall(X)<~>wise(X))))&
((curious(susan))=>(?[X]:((strong(X)|~brave(X)))))&
((~kind(alice))=>(~curious(lucy)))&
(((rich(susan)&~quiet(susan)))<=>((~brave(paul)|creative(paul))))&
(![X]:((~funny(X)<~>calm(X))<=>(generous(X)<~>creative(X))))&
(!... | kind(alice) | [] | null | 0 |
Everyone who is both wise and strong is not funny or curious.
Everyone who is rich is patient or not patient and vice versa.
Everyone who is old is both curious and not brave.
Everyone who is strong or wise is either not calm or funny and vice versa.
Everyone who is either funny or happy is either funny or not curious ... | Paul is rich. | entailment | (![X]:((wise(X)&strong(X))=>(~funny(X)|curious(X))))&
(![X]:(rich(X)<=>(patient(X)|~patient(X))))&
(![X]:(old(X)=>(curious(X)&~brave(X))))&
(![X]:((strong(X)|wise(X))<=>(~calm(X)<~>funny(X))))&
(![X]:((funny(X)<~>happy(X))<=>(funny(X)<~>~curious(X))))&
(![X]:(calm(X)<=>(patient(X)<~>brave(X))))&
(((generous(paul)|~tall... | rich(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 812109270423992356964887
% SZS output start Proof for 812109270423992356964887
2. ! [X0] : (rich(X0) <=> (~patient(X0) | patient(X0))) [input p1]
24. ~rich(paul) [input hypothesis]
32. ! [X0] : ((rich(X0) | (patient(X0) & ~patient(X0))) & ((~patient(X0) | patient(X0)) | ~rich(X0))) [nnf t... | 0 |
Everyone who is either not happy or funny is either calm or brave.
If someone is either not rich or curious then someone is both humble and happy and vice versa.
If lucy is both kind and brave then someone is both not old and kind.
Everyone who is not generous or not wise is either funny or not humble.
Everyone who is ... | Fred is wise. | neutral | (![X]:((~happy(X)<~>funny(X))=>(calm(X)<~>brave(X))))&
((?[X]:((~rich(X)<~>curious(X))))<=>(?[X]:((humble(X)&happy(X)))))&
(((kind(lucy)&brave(lucy)))=>(?[X]:((~old(X)&kind(X)))))&
(![X]:((~generous(X)|~wise(X))=>(funny(X)<~>~humble(X))))&
(![X]:(happy(X)=>curious(X)))&
(![X]:((~rich(X)<~>~tall(X))<=>(happy(X)|~creativ... | wise(fred) | [] | null | 0 |
Everyone who is curious is either not funny or not generous.
Everyone who is either calm or rich is either not brave or humble.
If someone is both old and strong then someone is either not generous or not tall.
Everyone who is not wise or old is either rich or kind and vice versa.
Everyone who is either not rich or ric... | Mary is old. | entailment | (![X]:(curious(X)=>(~funny(X)<~>~generous(X))))&
(![X]:((calm(X)<~>rich(X))=>(~brave(X)<~>humble(X))))&
((?[X]:((old(X)&strong(X))))=>(?[X]:((~generous(X)<~>~tall(X)))))&
(![X]:((~wise(X)|old(X))<=>(rich(X)<~>kind(X))))&
(![X]:((~rich(X)<~>rich(X))=>old(X)))&
((?[X]:((~funny(X)<~>funny(X))))=>(?[X]:((wise(X)&kind(X))))... | old(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2184095326462459951820035
% SZS output start Proof for 2184095326462459951820035
5. ! [X0] : ((~rich(X0) <~> rich(X0)) => old(X0)) [input p4]
23. ~old(mary) [input hypothesis]
29. ! [X0] : (old(X0) | (~rich(X0) <=> rich(X0))) [ennf transformation 5]
45. ! [X0] : (old(X0) | ((~rich(X0) | ~... | 0 |
If paul is old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either not funny or funny and vice versa. If susan is wise then someone is not rich or creative and vice versa. Everyone who is curious or calm is both wise and old and vice versa. Everyone who is either no... | Mary is not brave. | contradiction | ((old(paul))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
(![X]:((curious(X)|calm(X))<=>(wise(X)&old(X))))&
(![X]:((~old(X)<~>old(X))<=>(strong(X)<~>generous(X))))&
(((~curious(mary)<~>brave(mary)))=>(~old(pau... | ~brave(mary) | [
"p2",
"p4",
"p6",
"p9",
"p12",
"p13",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7139495430037552342363022
% SZS output start Proof for 7139495430037552342363022
3. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p2]
5. ! [X0] : ((calm(X0) | curious(X0)) <=> (old(X0) & wise(X0))) [input p4]
7. (~curious(mary) <~> brave(mary)) => ~old(paul) [input p6]
10. ! ... | 0 |
Everyone who is either not rich or strong is not generous.
Everyone who is not strong is calm or not calm and vice versa.
If fred is funny then someone is either rich or brave.
If someone is strong then fred is happy or calm and vice versa.
If someone is not quiet then someone is not humble.
Everyone who is either not ... | Fred is calm. | contradiction | (![X]:((~rich(X)<~>strong(X))=>~generous(X)))&
(![X]:(~strong(X)<=>(calm(X)|~calm(X))))&
((funny(fred))=>(?[X]:((rich(X)<~>brave(X)))))&
((?[X]:(strong(X)))<=>((happy(fred)|calm(fred))))&
((?[X]:(~quiet(X)))=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)<~>creative(X))=>(~tall(X)&curious(X))))&
(((rich(susan)|~tall(susan)))=>... | calm(fred) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7311284347880217634955126
% SZS output start Proof for 7311284347880217634955126
2. ! [X0] : (~strong(X0) <=> (~calm(X0) | calm(X0))) [input p1]
4. ? [X0] : strong(X0) <=> (calm(fred) | happy(fred)) [input p3]
23. calm(fred) [input hypothesis]
39. ! [X0] : ((~strong(X0) | (calm(X0) & ~cal... | 0 |
If alice is not strong then someone is either not strong or not funny. Everyone who is either not kind or rich is both brave and wise and vice versa. Everyone who is not creative is not brave. If someone is not patient then paul is rich and vice versa. If paul is not strong then alice is both kind and not brave. If joh... | Paul is tall. | contradiction | ((~strong(alice))=>(?[X]:((~strong(X)<~>~funny(X)))))&
(![X]:((~kind(X)<~>rich(X))<=>(brave(X)&wise(X))))&
(![X]:(~creative(X)=>~brave(X)))&
((?[X]:(~patient(X)))<=>(rich(paul)))&
((~strong(paul))=>((kind(alice)&~brave(alice))))&
((~rich(john))<=>(?[X]:(wise(X))))&
(![X]:(rich(X)=>(~tall(X)&rich(X))))&
((?[X]:((curious... | tall(paul) | [
"p3",
"p6",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5899323988428026282174973
% SZS output start Proof for 5899323988428026282174973
4. ? [X0] : ~patient(X0) <=> rich(paul) [input p3]
7. ! [X0] : (rich(X0) => (rich(X0) & ~tall(X0))) [input p6]
11. ! [X0] : ((patient(X0) | funny(X0)) => (~rich(X0) & ~curious(X0))) [input p10]
21. rich(mary)... | 0 |
If susan is both rich and curious then alice is both not strong and tall. If someone is both funny and not wise then john is not tall and vice versa. Everyone who is either not old or old is strong. Everyone who is either old or not kind is both happy and rich and vice versa. If someone is both curious and not funny th... | Susan is wise. | neutral | (((rich(susan)&curious(susan)))=>((~strong(alice)&tall(alice))))&
((?[X]:((funny(X)&~wise(X))))<=>(~tall(john)))&
(![X]:((~old(X)<~>old(X))=>strong(X)))&
(![X]:((old(X)<~>~kind(X))<=>(happy(X)&rich(X))))&
((?[X]:((curious(X)&~funny(X))))=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((~humble(X)|~curious(X))=>~humble(X)))&
(!... | wise(susan) | [] | null | 0 |
Everyone who is rich or not wise is both kind and not curious.
If lucy is both not kind and tall then john is strong or not wise and vice versa.
If someone is both not rich and old then someone is both not rich and curious and vice versa.
Everyone who is kind is both not strong and quiet and vice versa.
If fred is rich... | Fred is kind. | entailment | (![X]:((rich(X)|~wise(X))=>(kind(X)&~curious(X))))&
(((~kind(lucy)&tall(lucy)))<=>((strong(john)|~wise(john))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((~rich(X)&curious(X)))))&
(![X]:(kind(X)<=>(~strong(X)&quiet(X))))&
((rich(fred))<=>(~curious(john)))&
(![X]:((~kind(X)<~>patient(X))<=>creative(X)))&
((?[X]:((~funny(X)&... | kind(fred) | [
"p0",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 19871220766027821245270
% SZS output start Proof for 19871220766027821245270
1. ! [X0] : ((~wise(X0) | rich(X0)) => (~curious(X0) & kind(X0))) [input p0]
5. rich(fred) <=> ~curious(john) [input p4]
8. ! [X0] : ((~wise(X0) <~> curious(X0)) => ~wise(X0)) [input p7]
23. ~kind(fred) [input hy... | 0 |
Everyone who is calm or not brave is funny or patient.
Everyone who is not strong or not patient is both strong and calm.
If fred is either tall or happy then someone is either not strong or not calm and vice versa.
Everyone who is humble or not wise is both not generous and funny.
If paul is not quiet or not kind then... | Susan is humble. | contradiction | (![X]:((calm(X)|~brave(X))=>(funny(X)|patient(X))))&
(![X]:((~strong(X)|~patient(X))=>(strong(X)&calm(X))))&
(((tall(fred)<~>happy(fred)))<=>(?[X]:((~strong(X)<~>~calm(X)))))&
(![X]:((humble(X)|~wise(X))=>(~generous(X)&funny(X))))&
(((~quiet(paul)|~kind(paul)))<=>(?[X]:((tall(X)<~>wise(X)))))&
(![X]:((~rich(X)<~>~gener... | humble(susan) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3513345666451848386547968
% SZS output start Proof for 3513345666451848386547968
4. ! [X0] : ((~wise(X0) | humble(X0)) => (funny(X0) & ~generous(X0))) [input p3]
21. generous(susan) [input p20]
22. humble(susan) [input hypothesis]
27. ! [X0] : ((funny(X0) & ~generous(X0)) | (wise(X0) & ~h... | 0 |
Everyone who is either not patient or humble is humble.
If someone is both humble and not rich then someone is both wise and not patient and vice versa.
Everyone who is both brave and not quiet is not kind or old.
Everyone who is either not curious or not patient is not happy.
If someone is strong then someone is not s... | Paul is calm. | contradiction | (![X]:((~patient(X)<~>humble(X))=>humble(X)))&
((?[X]:((humble(X)&~rich(X))))<=>(?[X]:((wise(X)&~patient(X)))))&
(![X]:((brave(X)&~quiet(X))=>(~kind(X)|old(X))))&
(![X]:((~curious(X)<~>~patient(X))=>~happy(X)))&
((?[X]:(strong(X)))=>(?[X]:(~strong(X))))&
(((funny(mary)&strong(mary)))=>(~tall(paul)))&
(((~old(fred)|~cre... | calm(paul) | [
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6806980612048437067309199
% SZS output start Proof for 6806980612048437067309199
9. ! [X0] : ((curious(X0) & ~calm(X0)) <=> ~old(X0)) [input p8]
13. ! [X0] : ((~strong(X0) & strong(X0)) <=> (generous(X0) <~> humble(X0))) [input p12]
16. ! [X0] : ((calm(X0) <~> humble(X0)) <=> (~old(X0) | ... | 0 |
If paul is either calm or quiet then lucy is both not happy and rich and vice versa.
If john is quiet or not tall then mary is either not wise or creative and vice versa.
Everyone who is both quiet and rich is generous or funny and vice versa.
If mary is both wise and rich then someone is both not quiet and brave and v... | John is not funny. | entailment | (((calm(paul)<~>quiet(paul)))<=>((~happy(lucy)&rich(lucy))))&
(((quiet(john)|~tall(john)))<=>((~wise(mary)<~>creative(mary))))&
(![X]:((quiet(X)&rich(X))<=>(generous(X)|funny(X))))&
(((wise(mary)&rich(mary)))<=>(?[X]:((~quiet(X)&brave(X)))))&
(![X]:((curious(X)|funny(X))=>~rich(X)))&
((?[X]:((~old(X)<~>wise(X))))<=>(?[... | ~funny(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8503821499672338431511396
% SZS output start Proof for 8503821499672338431511396
3. ! [X0] : ((rich(X0) & quiet(X0)) <=> (funny(X0) | generous(X0))) [input p2]
5. ! [X0] : ((funny(X0) | curious(X0)) => ~rich(X0)) [input p4]
23. funny(john) [input hypothesis]
25. ! [X0] : (~rich(X0) | (~fu... | 0 |
Everyone who is creative or not old is wise or not brave and vice versa. Everyone who is not rich or not happy is patient or not rich. Everyone who is either not patient or quiet is calm and vice versa. If paul is both not patient and wise then someone is not old or brave and vice versa. Everyone who is old or not rich... | Mary is kind. | neutral | (![X]:((creative(X)|~old(X))<=>(wise(X)|~brave(X))))&
(![X]:((~rich(X)|~happy(X))=>(patient(X)|~rich(X))))&
(![X]:((~patient(X)<~>quiet(X))<=>calm(X)))&
(((~patient(paul)&wise(paul)))<=>(?[X]:((~old(X)|brave(X)))))&
(![X]:((old(X)|~rich(X))<=>(brave(X)|~old(X))))&
(![X]:(happy(X)=>quiet(X)))&
(![X]:((~patient(X)|~gener... | kind(mary) | [] | null | 0 |
Everyone who is funny or creative is either not rich or not creative.
Everyone who is either creative or brave is both funny and not strong and vice versa.
Everyone who is brave or not strong is both not rich and not tall.
Everyone who is brave is both not curious and happy.
If someone is either not tall or calm then s... | John is patient. | entailment | (![X]:((funny(X)|creative(X))=>(~rich(X)<~>~creative(X))))&
(![X]:((creative(X)<~>brave(X))<=>(funny(X)&~strong(X))))&
(![X]:((brave(X)|~strong(X))=>(~rich(X)&~tall(X))))&
(![X]:(brave(X)=>(~curious(X)&happy(X))))&
((?[X]:((~tall(X)<~>calm(X))))<=>(?[X]:((~tall(X)&creative(X)))))&
((?[X]:((~generous(X)<~>humble(X))))=>... | patient(john) | [
"p0",
"p1",
"p3",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5375541036202241281164833
% SZS output start Proof for 5375541036202241281164833
1. ! [X0] : ((creative(X0) | funny(X0)) => (~rich(X0) <~> ~creative(X0))) [input p0]
2. ! [X0] : ((creative(X0) <~> brave(X0)) <=> (~strong(X0) & funny(X0))) [input p1]
4. ! [X0] : (brave(X0) => (happy(X0) & ... | 0 |
If mary is not humble or not creative then lucy is either not generous or kind and vice versa.
If someone is rich or not happy then someone is not wise and vice versa.
Everyone who is both rich and calm is either curious or strong.
If mary is curious or kind then paul is not patient.
Everyone who is not strong or patie... | Lucy is not wise. | neutral | (((~humble(mary)|~creative(mary)))<=>((~generous(lucy)<~>kind(lucy))))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy... | ~wise(lucy) | [] | null | 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 quiet. | neutral | (![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)... | ~quiet(susan) | [] | null | 0 |
If john is happy or old then someone is creative. Everyone who is rich is not kind or not generous. If mary is kind then someone is not generous or generous and vice versa. Everyone who is quiet or not humble is both creative and strong and vice versa. Everyone who is either not creative or strong is not quiet. Everyon... | Fred is not creative. | entailment | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(rich(X)=>(~kind(X)|~generous(X))))&
((kind(mary))<=>(?[X]:((~generous(X)|generous(X)))))&
(![X]:((quiet(X)|~humble(X))<=>(creative(X)&strong(X))))&
(![X]:((~creative(X)<~>strong(X))=>~quiet(X)))&
(![X]:((~old(X)|tall(X))<=>(kind(X)|~wise(X))))&
(![X]:((creative(... | ~creative(fred) | [
"p3",
"p4",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3807035009436739463385343
% SZS output start Proof for 3807035009436739463385343
4. ! [X0] : ((~humble(X0) | quiet(X0)) <=> (strong(X0) & creative(X0))) [input p3]
5. ! [X0] : ((~creative(X0) <~> strong(X0)) => ~quiet(X0)) [input p4]
14. quiet(mary) <=> ? [X0] : (~brave(X0) <~> creative(X... | 0 |
If mary is not calm then lucy is either calm or not funny and vice versa. If susan is not kind or not patient then someone is creative or not quiet. If someone is not calm then fred is either not curious or quiet and vice versa. If john is humble then someone is both happy and brave and vice versa. Everyone who is both... | Susan is happy. | contradiction | ((~calm(mary))<=>((calm(lucy)<~>~funny(lucy))))&
(((~kind(susan)|~patient(susan)))=>(?[X]:((creative(X)|~quiet(X)))))&
((?[X]:(~calm(X)))<=>((~curious(fred)<~>quiet(fred))))&
((humble(john))<=>(?[X]:((happy(X)&brave(X)))))&
(![X]:((~humble(X)&~funny(X))=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(patient(X)<~>~hum... | happy(susan) | [
"p6",
"p12",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 562293484123708843553138
% SZS output start Proof for 562293484123708843553138
7. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (calm(X0) | ~wise(X0))) [input p6]
13. ! [X0] : ((tall(X0) | curious(X0)) => (~generous(X0) & rich(X0))) [input p12]
16. ! [X0] : ((~calm(X0) & rich(X0)) => ~strong(X0)... | 0 |
Everyone who is humble or calm is both old and not curious and vice versa. Everyone who is generous or wise is both not happy and funny. Everyone who is generous or patient is not rich. Everyone who is calm or not funny is both wise and humble and vice versa. Everyone who is either creative or not brave is tall or not ... | Lucy is tall. | neutral | (![X]:((humble(X)|calm(X))<=>(old(X)&~curious(X))))&
(![X]:((generous(X)|wise(X))=>(~happy(X)&funny(X))))&
(![X]:((generous(X)|patient(X))=>~rich(X)))&
(![X]:((calm(X)|~funny(X))<=>(wise(X)&humble(X))))&
(![X]:((creative(X)<~>~brave(X))=>(tall(X)|~quiet(X))))&
((~strong(lucy))=>(?[X]:((brave(X)|funny(X)))))&
(((~funny(... | tall(lucy) | [] | null | 0 |
Everyone who is either not curious or funny is both old and strong. Everyone who is quiet is both not old and not strong and vice versa. Everyone who is not strong or not happy is both not happy and kind. Everyone who is not kind or generous is calm and vice versa. If john is both not quiet and tall then someone is tal... | Fred is wise. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&strong(X))))&
(![X]:(quiet(X)<=>(~old(X)&~strong(X))))&
(![X]:((~strong(X)|~happy(X))=>(~happy(X)&kind(X))))&
(![X]:((~kind(X)|generous(X))<=>calm(X)))&
(((~quiet(john)&tall(john)))<=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((curious(X)|quiet(X))=>(funny(X)&rich(X))))&
(![X]:(~pati... | wise(fred) | [] | null | 0 |
Everyone who is happy is both generous and tall and vice versa. Everyone who is either humble or funny is either not humble or humble and vice versa. Everyone who is both patient and strong is either wise or not quiet. If lucy is either calm or humble then someone is either rich or not kind and vice versa. Everyone who... | Fred is not curious. | entailment | (![X]:(happy(X)<=>(generous(X)&tall(X))))&
(![X]:((humble(X)<~>funny(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((patient(X)&strong(X))=>(wise(X)<~>~quiet(X))))&
(((calm(lucy)<~>humble(lucy)))<=>(?[X]:((rich(X)<~>~kind(X)))))&
(![X]:((~old(X)&strong(X))=>(brave(X)|~creative(X))))&
(![X]:((creative(X)&brave(X))<=>(wise(X)|... | ~curious(fred) | [
"p0",
"p5",
"p6",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7376183243489339758287531
% SZS output start Proof for 7376183243489339758287531
1. ! [X0] : (happy(X0) <=> (tall(X0) & generous(X0))) [input p0]
6. ! [X0] : ((brave(X0) & creative(X0)) <=> (brave(X0) | wise(X0))) [input p5]
7. (humble(fred) & ~happy(fred)) <=> creative(susan) [input p6]
... | 0 |
If someone is either not humble or generous then john is generous or not quiet and vice versa.
If alice is either not wise or not happy then susan is either generous or not old.
Everyone who is tall is generous.
If someone is not calm or not wise then lucy is either humble or funny.
If someone is either not brave or no... | Lucy is calm. | entailment | ((?[X]:((~humble(X)<~>generous(X))))<=>((generous(john)|~quiet(john))))&
(((~wise(alice)<~>~happy(alice)))=>((generous(susan)<~>~old(susan))))&
(![X]:(tall(X)=>generous(X)))&
((?[X]:((~calm(X)|~wise(X))))=>((humble(lucy)<~>funny(lucy))))&
((?[X]:((~brave(X)<~>~tall(X))))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
(((creativ... | calm(lucy) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 144177945197713021213928
% SZS output start Proof for 144177945197713021213928
12. ! [X0] : ((~calm(X0) | creative(X0)) => (generous(X0) & creative(X0))) [input p11]
16. ! [X0] : ((kind(X0) | creative(X0)) <=> (~creative(X0) & patient(X0))) [input p15]
24. ~calm(lucy) [input hypothesis]
3... | 0 |
Everyone who is funny or not curious is either curious or not quiet and vice versa. Everyone who is both generous and happy is not brave. Everyone who is funny or happy is both calm and not rich and vice versa. Everyone who is both not curious and brave is either quiet or curious and vice versa. If someone is both not ... | Susan is kind. | neutral | (![X]:((funny(X)|~curious(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((generous(X)&happy(X))=>~brave(X)))&
(![X]:((funny(X)|happy(X))<=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&brave(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:((~rich(X)&~brave(X))))<=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((creative(alice)<~>wise(alice)))<=>... | kind(susan) | [] | null | 0 |
If paul is both kind and creative then paul is both quiet and strong and vice versa. If lucy is wise then someone is both kind and creative. If john is both patient and not kind then someone is both kind and not creative and vice versa. Everyone who is both rich and tall is both not brave and generous. Everyone who is ... | Lucy is calm. | contradiction | (((kind(paul)&creative(paul)))<=>((quiet(paul)&strong(paul))))&
((wise(lucy))=>(?[X]:((kind(X)&creative(X)))))&
(((patient(john)&~kind(john)))<=>(?[X]:((kind(X)&~creative(X)))))&
(![X]:((rich(X)&tall(X))=>(~brave(X)&generous(X))))&
(![X]:(~brave(X)<=>(~brave(X)&~wise(X))))&
((?[X]:((~humble(X)&creative(X))))=>((happy(j... | calm(lucy) | [
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3837065475844517768769172
% SZS output start Proof for 3837065475844517768769172
9. ! [X0] : ((~old(X0) | ~tall(X0)) => (~calm(X0) & rich(X0))) [input p8]
11. ! [X0] : (generous(X0) => (brave(X0) & ~quiet(X0))) [input p10]
12. ! [X0] : ((calm(X0) <~> ~old(X0)) <=> (~brave(X0) & generous(X... | 0 |
If mary is either rich or tall then paul is both humble and tall.
Everyone who is quiet is not creative and vice versa.
Everyone who is calm is both calm and strong and vice versa.
Everyone who is both not humble and not kind is either quiet or creative and vice versa.
Everyone who is curious is not calm or old and vic... | Fred is not wise. | neutral | (((rich(mary)<~>tall(mary)))=>((humble(paul)&tall(paul))))&
(![X]:(quiet(X)<=>~creative(X)))&
(![X]:(calm(X)<=>(calm(X)&strong(X))))&
(![X]:((~humble(X)&~kind(X))<=>(quiet(X)<~>creative(X))))&
(![X]:(curious(X)<=>(~calm(X)|old(X))))&
((~funny(alice))=>(?[X]:(rich(X))))&
(![X]:((~generous(X)|kind(X))<=>~brave(X)))&
((?[... | ~wise(fred) | [] | null | 0 |
Everyone who is both funny and not funny is either not wise or not strong.
If someone is either tall or not humble then someone is both quiet and not quiet and vice versa.
If susan is not quiet then someone is either creative or not strong and vice versa.
Everyone who is old or not funny is not old.
Everyone who is eit... | Fred is generous. | neutral | (![X]:((funny(X)&~funny(X))=>(~wise(X)<~>~strong(X))))&
((?[X]:((tall(X)<~>~humble(X))))<=>(?[X]:((quiet(X)&~quiet(X)))))&
((~quiet(susan))<=>(?[X]:((creative(X)<~>~strong(X)))))&
(![X]:((old(X)|~funny(X))=>~old(X)))&
(![X]:((~tall(X)<~>~quiet(X))<=>(~funny(X)|~kind(X))))&
(![X]:((funny(X)&~old(X))<=>(generous(X)&quiet... | generous(fred) | [] | null | 0 |
Everyone who is not humble is both happy and not kind and vice versa.
Everyone who is either not patient or not brave is not kind or brave and vice versa.
Everyone who is both quiet and not strong is either not humble or happy.
If someone is either not generous or not tall then alice is either not quiet or generous.
If... | Fred is funny. | contradiction | (![X]:(~humble(X)<=>(happy(X)&~kind(X))))&
(![X]:((~patient(X)<~>~brave(X))<=>(~kind(X)|brave(X))))&
(![X]:((quiet(X)&~strong(X))=>(~humble(X)<~>happy(X))))&
((?[X]:((~generous(X)<~>~tall(X))))=>((~quiet(alice)<~>generous(alice))))&
(((wise(mary)&creative(mary)))=>(?[X]:(curious(X))))&
((?[X]:((~wise(X)|patient(X))))<=... | funny(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2735378464294160856294358
% SZS output start Proof for 2735378464294160856294358
19. ~funny(fred) [input p18]
25. funny(fred) [input hypothesis]
139. ~funny(fred) [cnf transformation 19]
149. funny(fred) [cnf transformation 25]
334. $false [subsumption resolution 149,139]
% SZS output end... | 0 |
Everyone who is both not strong and tall is either not old or not kind. Everyone who is patient or not old is not old. Everyone who is both not wise and strong is not creative and vice versa. Everyone who is not brave or strong is either not calm or not strong. If fred is not old then someone is not humble or not funny... | Alice is not kind. | neutral | (![X]:((~strong(X)&tall(X))=>(~old(X)<~>~kind(X))))&
(![X]:((patient(X)|~old(X))=>~old(X)))&
(![X]:((~wise(X)&strong(X))<=>~creative(X)))&
(![X]:((~brave(X)|strong(X))=>(~calm(X)<~>~strong(X))))&
((~old(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:(~humble(X)<=>~curious(X)))&
(![X]:((~old(X)|strong(X))=>~humble(X))... | ~kind(alice) | [] | null | 0 |
If lucy is not funny or not kind then paul is both humble and happy.
If john is either quiet or kind then alice is rich or not happy and vice versa.
If someone is both not strong and calm then mary is either quiet or tall and vice versa.
Everyone who is not tall is both not tall and not generous.
Everyone who is both c... | Susan is quiet. | contradiction | (((~funny(lucy)|~kind(lucy)))=>((humble(paul)&happy(paul))))&
(((quiet(john)<~>kind(john)))<=>((rich(alice)|~happy(alice))))&
((?[X]:((~strong(X)&calm(X))))<=>((quiet(mary)<~>tall(mary))))&
(![X]:(~tall(X)=>(~tall(X)&~generous(X))))&
(![X]:((creative(X)&~patient(X))<=>old(X)))&
(![X]:((humble(X)|happy(X))<=>(~tall(X)|c... | quiet(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6657504029635336841475854
% SZS output start Proof for 6657504029635336841475854
14. ! [X0] : ((funny(X0) | ~funny(X0)) => (happy(X0) & ~quiet(X0))) [input p13]
24. quiet(susan) [input hypothesis]
35. ! [X0] : ((happy(X0) & ~quiet(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 14]
... | 0 |
If someone is old then paul is tall or not calm.
If john is quiet or not generous then alice is creative.
If fred is funny or not kind then someone is rich or quiet and vice versa.
Everyone who is tall or not tall is not funny and vice versa.
If someone is not patient then someone is not generous and vice versa.
Everyo... | John is not curious. | entailment | ((?[X]:(old(X)))=>((tall(paul)|~calm(paul))))&
(((quiet(john)|~generous(john)))=>(creative(alice)))&
(((funny(fred)|~kind(fred)))<=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:((tall(X)|~tall(X))<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(~generous(X))))&
(![X]:((~kind(X)&~patient(X))<=>(~wise(X)|~happy(X))))&
(((quiet(alic... | ~curious(john) | [
"p5",
"p8",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3433128328749209198250650
% SZS output start Proof for 3433128328749209198250650
6. ! [X0] : ((~patient(X0) & ~kind(X0)) <=> (~happy(X0) | ~wise(X0))) [input p5]
9. ! [X0] : ((~curious(X0) & happy(X0)) <=> (creative(X0) <~> kind(X0))) [input p8]
12. ! [X0] : ((kind(X0) | ~strong(X0)) <=> ... | 0 |
Everyone who is both not happy and not quiet is both not creative and not humble and vice versa.
Everyone who is not wise is curious and vice versa.
If someone is both not quiet and patient then paul is not generous or patient and vice versa.
If someone is both not brave and brave then mary is both calm and not quiet.
... | Fred is not wise. | contradiction | (![X]:((~happy(X)&~quiet(X))<=>(~creative(X)&~humble(X))))&
(![X]:(~wise(X)<=>curious(X)))&
((?[X]:((~quiet(X)&patient(X))))<=>((~generous(paul)|patient(paul))))&
((?[X]:((~brave(X)&brave(X))))=>((calm(mary)&~quiet(mary))))&
(![X]:((old(X)|humble(X))=>(kind(X)<~>curious(X))))&
(![X]:(~wise(X)=>(kind(X)&~kind(X))))&
(((... | ~wise(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4704247215106422843379605
% SZS output start Proof for 4704247215106422843379605
6. ! [X0] : (~wise(X0) => (~kind(X0) & kind(X0))) [input p5]
25. ~wise(fred) [input hypothesis]
31. ! [X0] : ((~kind(X0) & kind(X0)) | wise(X0)) [ennf transformation 6]
101. kind(X0) | wise(X0) [cnf transform... | 0 |
Everyone who is not strong or not funny is happy or humble and vice versa. Everyone who is not kind is either not strong or not humble. Everyone who is both generous and not wise is not rich or not humble. If someone is creative or patient then mary is either not brave or not generous and vice versa. Everyone who is ei... | Paul is not funny. | entailment | (![X]:((~strong(X)|~funny(X))<=>(happy(X)|humble(X))))&
(![X]:(~kind(X)=>(~strong(X)<~>~humble(X))))&
(![X]:((generous(X)&~wise(X))=>(~rich(X)|~humble(X))))&
((?[X]:((creative(X)|patient(X))))<=>((~brave(mary)<~>~generous(mary))))&
(![X]:((~kind(X)<~>generous(X))<=>(rich(X)|~humble(X))))&
(![X]:((~kind(X)&~happy(X))=>(... | ~funny(paul) | [
"p8",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1160863247305675174363728
% SZS output start Proof for 1160863247305675174363728
9. ! [X0] : (~quiet(X0) <=> (happy(X0) | ~kind(X0))) [input p8]
15. ! [X0] : ((strong(X0) | generous(X0)) => (quiet(X0) <~> ~funny(X0))) [input p14]
16. funny(paul) => (happy(john) & generous(john)) [input p1... | 0 |
Everyone who is creative or not strong is not curious.
Everyone who is either not strong or not generous is either generous or rich and vice versa.
If someone is either not tall or calm then john is not funny or not kind and vice versa.
If someone is both patient and brave then john is quiet or not rich and vice versa.... | Susan is not curious. | neutral | (![X]:((creative(X)|~strong(X))=>~curious(X)))&
(![X]:((~strong(X)<~>~generous(X))<=>(generous(X)<~>rich(X))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((~funny(john)|~kind(john))))&
((?[X]:((patient(X)&brave(X))))<=>((quiet(john)|~rich(john))))&
(![X]:((~strong(X)|~brave(X))=>(~wise(X)|~strong(X))))&
(![X]:((calm(X)&~curious... | ~curious(susan) | [] | null | 0 |
Everyone who is rich is both quiet and not quiet. Everyone who is either patient or not wise is not funny or curious. Everyone who is both old and not calm is either not curious or not calm and vice versa. Everyone who is quiet or curious is not kind or old and vice versa. Everyone who is either not happy or quiet is e... | Lucy is not brave. | neutral | (![X]:(rich(X)=>(quiet(X)&~quiet(X))))&
(![X]:((patient(X)<~>~wise(X))=>(~funny(X)|curious(X))))&
(![X]:((old(X)&~calm(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((quiet(X)|curious(X))<=>(~kind(X)|old(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~happy(X)<~>~wise(X))))&
(![X]:((creative(X)<~>humble(X))=>(old(X)|~rich(X))))&
(((... | ~brave(lucy) | [] | null | 0 |
If someone is strong then someone is either not curious or wise and vice versa. Everyone who is either calm or brave is either calm or not wise and vice versa. Everyone who is not tall is not happy and vice versa. Everyone who is not creative is both not funny and strong and vice versa. Everyone who is not patient is b... | John is wise. | entailment | ((?[X]:(strong(X)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((calm(X)<~>brave(X))<=>(calm(X)<~>~wise(X))))&
(![X]:(~tall(X)<=>~happy(X)))&
(![X]:(~creative(X)<=>(~funny(X)&strong(X))))&
(![X]:(~patient(X)<=>(brave(X)|creative(X))))&
((?[X]:((~happy(X)|humble(X))))=>((curious(lucy)&~patient(lucy))))&
((?[X]:(~brave(X... | wise(john) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7636543860850589187752521
% SZS output start Proof for 7636543860850589187752521
2. ! [X0] : ((calm(X0) <~> brave(X0)) <=> (calm(X0) <~> ~wise(X0))) [input p1]
3. ! [X0] : (~tall(X0) <=> ~happy(X0)) [input p2]
6. ? [X0] : (humble(X0) | ~happy(X0)) => (~patient(lucy) & curious(lucy)) [inpu... | 0 |
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