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 susan is both not curious and not kind then someone is either generous or old and vice versa. Everyone who is both not wise and patient is both strong and not generous and vice versa. Everyone who is either curious or kind is patient or brave and vice versa. Everyone who is quiet or not wise is not strong and vice v... | Susan is old. | contradiction | (((~curious(susan)&~kind(susan)))<=>(?[X]:((generous(X)<~>old(X)))))&
(![X]:((~wise(X)&patient(X))<=>(strong(X)&~generous(X))))&
(![X]:((curious(X)<~>kind(X))<=>(patient(X)|brave(X))))&
(![X]:((quiet(X)|~wise(X))<=>~strong(X)))&
(![X]:(calm(X)=>patient(X)))&
(![X]:((calm(X)|old(X))=>(~old(X)&~rich(X))))&
((?[X]:((brave... | old(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8264867845702295850981516
% SZS output start Proof for 8264867845702295850981516
6. ! [X0] : ((old(X0) | calm(X0)) => (~rich(X0) & ~old(X0))) [input p5]
24. old(susan) [input hypothesis]
27. ! [X0] : ((~rich(X0) & ~old(X0)) | (~old(X0) & ~calm(X0))) [ennf transformation 6]
93. ~old(X0) | ... | 0 |
If mary is curious then someone is not creative or wise. Everyone who is not kind is brave. Everyone who is brave is either kind or not curious and vice versa. If paul is not creative then someone is both not patient and calm and vice versa. Everyone who is both quiet and funny is curious or calm and vice versa. Everyo... | Alice is happy. | entailment | ((curious(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(X)=>humble(X)))&
(![X]:(funny(X)<=... | happy(alice) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 703225063090276956846670
% SZS output start Proof for 703225063090276956846670
2. ! [X0] : (~kind(X0) => brave(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) <~> ~curious(X0))) [input p2]
5. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | curious(X0))) [input p4]
6. ! [X0] : ((cal... | 0 |
Everyone who is both quiet and not strong is both not humble and old.
Everyone who is not creative is not patient or happy.
If mary is both not tall and not curious then mary is either not generous or not happy and vice versa.
Everyone who is not old is not quiet.
Everyone who is not brave is either not curious or not ... | Mary is not generous. | contradiction | (![X]:((quiet(X)&~strong(X))=>(~humble(X)&old(X))))&
(![X]:(~creative(X)=>(~patient(X)|happy(X))))&
(((~tall(mary)&~curious(mary)))<=>((~generous(mary)<~>~happy(mary))))&
(![X]:(~old(X)=>~quiet(X)))&
(![X]:(~brave(X)<=>(~curious(X)<~>~old(X))))&
(![X]:((~tall(X)<~>generous(X))<=>(kind(X)<~>~patient(X))))&
(![X]:((~curi... | ~generous(mary) | [
"p4",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6487200564635365888881947
% SZS output start Proof for 6487200564635365888881947
5. ! [X0] : (~brave(X0) <=> (~curious(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : ((~curious(X0) <~> ~generous(X0)) <=> (wise(X0) & ~kind(X0))) [input p6]
16. ! [X0] : (wise(X0) <=> (brave(X0) <~> old(X0))) [in... | 0 |
Everyone who is either not wise or not quiet is either creative or rich and vice versa.
Everyone who is rich is kind and vice versa.
Everyone who is both not rich and not strong is quiet and vice versa.
If susan is not curious then paul is not generous or not wise.
Everyone who is not creative is not tall and vice vers... | Fred is happy. | contradiction | (![X]:((~wise(X)<~>~quiet(X))<=>(creative(X)<~>rich(X))))&
(![X]:(rich(X)<=>kind(X)))&
(![X]:((~rich(X)&~strong(X))<=>quiet(X)))&
((~curious(susan))=>((~generous(paul)|~wise(paul))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>tall(X))=>(~strong(X)|~happy(X))))&
(![X]:((creative(X)|quiet(X))=>(calm(X)<~>bra... | happy(fred) | [
"p4",
"p6",
"p10",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1016650968417294121113557
% SZS output start Proof for 1016650968417294121113557
5. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p4]
7. ! [X0] : ((quiet(X0) | creative(X0)) => (calm(X0) <~> brave(X0))) [input p6]
11. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~generous(X0) | creative(X0... | 0 |
If someone is calm or old then alice is both not old and happy and vice versa.
If lucy is not strong then lucy is both not tall and patient.
If john is not calm then fred is both curious and not calm.
Everyone who is not tall is generous or not quiet.
If lucy is wise then someone is both quiet and not quiet and vice ve... | Lucy is not strong. | contradiction | ((?[X]:((calm(X)|old(X))))<=>((~old(alice)&happy(alice))))&
((~strong(lucy))=>((~tall(lucy)&patient(lucy))))&
((~calm(john))=>((curious(fred)&~calm(fred))))&
(![X]:(~tall(X)=>(generous(X)|~quiet(X))))&
((wise(lucy))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:(~happy(X)=>funny(X)))&
(![X]:((~strong(X)|~calm(X))<=>old(X)))&... | ~strong(lucy) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7655288041996942953840506
% SZS output start Proof for 7655288041996942953840506
2. ~strong(lucy) => (patient(lucy) & ~tall(lucy)) [input p1]
22. curious(lucy) & ~patient(lucy) [input p21]
25. ~strong(lucy) [input hypothesis]
29. ~patient(lucy) [pure predicate removal 22]
30. (patient(luc... | 0 |
If lucy is not rich or quiet then paul is tall. If someone is not rich or not brave then john is old and vice versa. If alice is funny or not rich then john is wise. If mary is not wise then john is both curious and brave. Everyone who is both not generous and wise is either brave or not brave and vice versa. If paul i... | Mary is not humble. | entailment | (((~rich(lucy)|quiet(lucy)))=>(tall(paul)))&
((?[X]:((~rich(X)|~brave(X))))<=>(old(john)))&
(((funny(alice)|~rich(alice)))=>(wise(john)))&
((~wise(mary))=>((curious(john)&brave(john))))&
(![X]:((~generous(X)&wise(X))<=>(brave(X)<~>~brave(X))))&
(((creative(paul)&~wise(paul)))=>(?[X]:((~calm(X)<~>funny(X)))))&
(((tall(a... | ~humble(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1057755326962192725826939
% SZS output start Proof for 1057755326962192725826939
9. ! [X0] : ((generous(X0) | humble(X0)) => (funny(X0) & ~humble(X0))) [input p8]
23. humble(mary) [input hypothesis]
30. ! [X0] : ((funny(X0) & ~humble(X0)) | (~generous(X0) & ~humble(X0))) [ennf transformat... | 0 |
Everyone who is either kind or not calm is not brave and vice versa.
If someone is tall then someone is wise and vice versa.
Everyone who is not curious or curious is either not funny or brave.
Everyone who is both brave and kind is not strong or happy and vice versa.
If john is not happy or patient then someone is kin... | Alice is not quiet. | contradiction | (![X]:((kind(X)<~>~calm(X))<=>~brave(X)))&
((?[X]:(tall(X)))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)|curious(X))=>(~funny(X)<~>brave(X))))&
(![X]:((brave(X)&kind(X))<=>(~strong(X)|happy(X))))&
(((~happy(john)|patient(john)))=>(?[X]:(kind(X))))&
(![X]:(strong(X)<=>(~tall(X)&funny(X))))&
(((~wise(paul)<~>old(paul)))=>(?... | ~quiet(alice) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4473373210291333912714333
% SZS output start Proof for 4473373210291333912714333
4. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | ~strong(X0))) [input p3]
10. (~quiet(alice) | ~generous(alice)) <=> ? [X0] : (~strong(X0) & ~brave(X0)) [input p9]
23. ~quiet(alice) [input hypothesis]
44.... | 0 |
Everyone who is not funny is either not patient or not happy.
If susan is not brave then lucy is both not kind and not calm and vice versa.
Everyone who is not calm is both happy and brave.
Everyone who is not creative is both calm and kind and vice versa.
Everyone who is not wise is happy.
Everyone who is not curious ... | Fred is generous. | contradiction | (![X]:(~funny(X)=>(~patient(X)<~>~happy(X))))&
((~brave(susan))<=>((~kind(lucy)&~calm(lucy))))&
(![X]:(~calm(X)=>(happy(X)&brave(X))))&
(![X]:(~creative(X)<=>(calm(X)&kind(X))))&
(![X]:(~wise(X)=>happy(X)))&
(![X]:(~curious(X)=>(~happy(X)|strong(X))))&
(![X]:((~old(X)&~tall(X))<=>(creative(X)|rich(X))))&
((?[X]:((calm(... | generous(fred) | [
"p3",
"p6",
"p7",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3032099853637169100152271
% SZS output start Proof for 3032099853637169100152271
4. ! [X0] : (~creative(X0) <=> (kind(X0) & calm(X0))) [input p3]
7. ! [X0] : ((~tall(X0) & ~old(X0)) <=> (rich(X0) | creative(X0))) [input p6]
8. ? [X0] : (~calm(X0) | calm(X0)) => ? [X0] : (~tall(X0) & ~quie... | 0 |
Everyone who is either not calm or curious is either strong or creative. Everyone who is both not curious and not calm is generous. If john is tall then someone is curious and vice versa. If someone is not creative then someone is not brave and vice versa. Everyone who is not generous is kind. Everyone who is kind is b... | Lucy is not generous. | contradiction | (![X]:((~calm(X)<~>curious(X))=>(strong(X)<~>creative(X))))&
(![X]:((~curious(X)&~calm(X))=>generous(X)))&
((tall(john))<=>(?[X]:(curious(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~brave(X))))&
(![X]:(~generous(X)=>kind(X)))&
(![X]:(kind(X)<=>(~happy(X)&happy(X))))&
(![X]:(~humble(X)=>(funny(X)|~creative(X))))&
((?[X]:(~c... | ~generous(lucy) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7634689752775955875381437
% SZS output start Proof for 7634689752775955875381437
5. ! [X0] : (~generous(X0) => kind(X0)) [input p4]
6. ! [X0] : (kind(X0) <=> (happy(X0) & ~happy(X0))) [input p5]
25. ~generous(lucy) [input hypothesis]
33. ! [X0] : (kind(X0) | generous(X0)) [ennf transforma... | 0 |
Everyone who is either curious or patient is not kind or not wise and vice versa.
Everyone who is not curious is calm and vice versa.
Everyone who is not wise or quiet is both patient and strong.
If susan is both curious and brave then someone is not creative or wise.
Everyone who is tall or not rich is humble and vice... | Fred is patient. | neutral | (![X]:((curious(X)<~>patient(X))<=>(~kind(X)|~wise(X))))&
(![X]:(~curious(X)<=>calm(X)))&
(![X]:((~wise(X)|quiet(X))=>(patient(X)&strong(X))))&
(((curious(susan)&brave(susan)))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((tall(X)|~rich(X))<=>humble(X)))&
(![X]:((~creative(X)<~>~tall(X))<=>(old(X)<~>generous(X))))&
(((~ol... | patient(fred) | [] | null | 0 |
If someone is creative or not rich then someone is both not tall and humble and vice versa. If mary is not quiet or kind then susan is not humble or humble and vice versa. Everyone who is either not wise or not old is both patient and rich and vice versa. Everyone who is generous or not creative is either not curious o... | Paul is not curious. | contradiction | ((?[X]:((creative(X)|~rich(X))))<=>(?[X]:((~tall(X)&humble(X)))))&
(((~quiet(mary)|kind(mary)))<=>((~humble(susan)|humble(susan))))&
(![X]:((~wise(X)<~>~old(X))<=>(patient(X)&rich(X))))&
(![X]:((generous(X)|~creative(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:(wise(X)<=>(~calm(X)|funny(X))))&
((?[X]:((~strong(X)&brave(X)... | ~curious(paul) | [
"p3",
"p4",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4588918146583756434497580
% SZS output start Proof for 4588918146583756434497580
4. ! [X0] : ((~creative(X0) | generous(X0)) <=> (~curious(X0) <~> ~brave(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (funny(X0) | ~calm(X0))) [input p4]
10. ! [X0] : (~brave(X0) => (brave(X0) & ~funny(X0))) [i... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa.
If susan is both creative and kind then someone is not patient.
Everyone who is both not humble and not happy is kind or generous and vice versa.
Everyone who is not rich is generous.
If fred is not rich or quiet then someone is either n... | Fred is not kind. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((creative(susan)&kind(susan)))=>(?[X]:(~patient(X))))&
(![X]:((~humble(X)&~happy(X))<=>(kind(X)|generous(X))))&
(![X]:(~rich(X)=>generous(X)))&
(((~rich(fred)|quiet(fred)))=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:(~brave(X)<=>(~quiet(X)<~>old(X))))&
((?[X]... | ~kind(fred) | [
"p0",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5247188397431036195157344
% SZS output start Proof for 5247188397431036195157344
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
3. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> (generous(X0) | kind(X0))) [input p2]
11. ! [X0] : (~kind(X0) => (funny(X0) | ha... | 0 |
If lucy is funny or not curious then susan is humble or not tall.
If someone is both not humble and rich then alice is both quiet and not wise.
Everyone who is both not strong and not generous is not wise or not brave and vice versa.
Everyone who is not old is not curious.
If someone is either not happy or generous the... | Fred is strong. | contradiction | (((funny(lucy)|~curious(lucy)))=>((humble(susan)|~tall(susan))))&
((?[X]:((~humble(X)&rich(X))))=>((quiet(alice)&~wise(alice))))&
(![X]:((~strong(X)&~generous(X))<=>(~wise(X)|~brave(X))))&
(![X]:(~old(X)=>~curious(X)))&
((?[X]:((~happy(X)<~>generous(X))))=>(?[X]:((old(X)<~>~quiet(X)))))&
(((~strong(fred)<~>rich(fred)))... | strong(fred) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8339081596018097055783479
% SZS output start Proof for 8339081596018097055783479
3. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (~brave(X0) | ~wise(X0))) [input p2]
23. ~wise(fred) & ~calm(fred) [input p22]
25. strong(fred) [input hypothesis]
41. ! [X0] : (((~generous(X0) & ~strong(X0)) |... | 0 |
If paul is either not creative or not quiet then someone is both happy and not old. Everyone who is rich or strong is both old and not strong. If someone is quiet then someone is either not wise or tall. Everyone who is humble is brave and vice versa. If alice is either not generous or not creative then susan is brave ... | Lucy is happy. | neutral | (((~creative(paul)<~>~quiet(paul)))=>(?[X]:((happy(X)&~old(X)))))&
(![X]:((rich(X)|strong(X))=>(old(X)&~strong(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(![X]:(humble(X)<=>brave(X)))&
(((~generous(alice)<~>~creative(alice)))=>((brave(susan)|strong(susan))))&
(![X]:(old(X)=>~calm(X)))&
(((~old(fred)&kin... | happy(lucy) | [] | null | 0 |
If paul is both funny and calm then someone is both not creative and generous and vice versa. Everyone who is both not rich and funny is both strong and not strong and vice versa. If paul is either not strong or humble then lucy is either not quiet or not kind. If someone is calm or not calm then someone is not humble ... | Lucy is funny. | contradiction | (((funny(paul)&calm(paul)))<=>(?[X]:((~creative(X)&generous(X)))))&
(![X]:((~rich(X)&funny(X))<=>(strong(X)&~strong(X))))&
(((~strong(paul)<~>humble(paul)))=>((~quiet(lucy)<~>~kind(lucy))))&
((?[X]:((calm(X)|~calm(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&calm(X)))))&
(!... | funny(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1362340065402926178988363
% SZS output start Proof for 1362340065402926178988363
13. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (~humble(X0) | humble(X0))) [input p12]
25. funny(lucy) [input hypothesis]
70. ! [X0] : (((~funny(X0) & quiet(X0)) | (humble(X0) & ~humble(X0))) & ((~humble(X0) | hu... | 0 |
Everyone who is either brave or not rich is not calm.
Everyone who is brave or not tall is brave or strong and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either not rich or brave and vice versa.
If som... | John is not patient. | entailment | (![X]:((brave(X)<~>~rich(X))=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))))&
((?[X]:((curious... | ~patient(john) | [
"p2",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3078686178158539083362597
% SZS output start Proof for 3078686178158539083362597
3. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p2]
10. ! [X0] : (quiet(X0) <=> creative(X0)) [input p9]
15. ? [X0] : (brave(X0) | patient(X0)) <=> ? [X0] : (~patient(X0) <~> ~old(X0)) [in... | 0 |
Everyone who is both not happy and not strong is kind or tall.
Everyone who is both not tall and kind is either not rich or happy and vice versa.
Everyone who is both tall and rich is both not rich and quiet and vice versa.
If paul is generous then someone is not strong or tall and vice versa.
Everyone who is not gener... | Paul is not brave. | contradiction | (![X]:((~happy(X)&~strong(X))=>(kind(X)|tall(X))))&
(![X]:((~tall(X)&kind(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((tall(X)&rich(X))<=>(~rich(X)&quiet(X))))&
((generous(paul))<=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:(~generous(X)<=>~calm(X)))&
((strong(alice))=>((~happy(mary)|~tall(mary))))&
(![X]:((~funny(X)|calm(X))=>(~... | ~brave(paul) | [
"p1",
"p2",
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 766154285401530832839758
% SZS output start Proof for 766154285401530832839758
2. ! [X0] : ((kind(X0) & ~tall(X0)) <=> (~rich(X0) <~> happy(X0))) [input p1]
3. ! [X0] : ((rich(X0) & tall(X0)) <=> (quiet(X0) & ~rich(X0))) [input p2]
4. generous(paul) <=> ? [X0] : (tall(X0) | ~strong(X0)) [... | 0 |
If someone is strong or not rich then john is creative.
Everyone who is calm or brave is not calm and vice versa.
If susan is not quiet then susan is either not funny or strong and vice versa.
Everyone who is rich or not wise is either patient or not wise.
If someone is either not funny or quiet then mary is curious or... | John is not creative. | contradiction | ((?[X]:((strong(X)|~rich(X))))=>(creative(john)))&
(![X]:((calm(X)|brave(X))<=>~calm(X)))&
((~quiet(susan))<=>((~funny(susan)<~>strong(susan))))&
(![X]:((rich(X)|~wise(X))=>(patient(X)<~>~wise(X))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((curious(mary)|brave(mary))))&
(![X]:((~quiet(X)<~>brave(X))<=>(patient(X)|~happy(X))... | ~creative(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2513877669300844676586129
% SZS output start Proof for 2513877669300844676586129
18. creative(john) [input p17]
21. ~creative(john) [input hypothesis]
120. creative(john) [cnf transformation 18]
125. ~creative(john) [cnf transformation 21]
133. 2 <=> creative(john) [avatar definition]
250... | 0 |
If mary is both kind and rich then someone is calm or strong and vice versa.
Everyone who is both strong and calm is humble and vice versa.
If paul is either not kind or not old then someone is not creative or not kind and vice versa.
If someone is both not calm and patient then susan is both creative and not happy.
Ev... | Susan is not happy. | neutral | (((kind(mary)&rich(mary)))<=>(?[X]:((calm(X)|strong(X)))))&
(![X]:((strong(X)&calm(X))<=>humble(X)))&
(((~kind(paul)<~>~old(paul)))<=>(?[X]:((~creative(X)|~kind(X)))))&
((?[X]:((~calm(X)&patient(X))))=>((creative(susan)&~happy(susan))))&
(![X]:(~patient(X)<=>(~happy(X)&tall(X))))&
((?[X]:(~old(X)))=>((wise(mary)|~kind(... | ~happy(susan) | [] | null | 0 |
If alice is either not quiet or generous then paul is either wise or not kind. If fred is kind or tall then john is quiet. Everyone who is kind is not happy and vice versa. Everyone who is quiet is both old and not tall. If someone is not humble then fred is not wise. Everyone who is either brave or not old is either p... | Paul is quiet. | contradiction | (((~quiet(alice)<~>generous(alice)))=>((wise(paul)<~>~kind(paul))))&
(((kind(fred)|tall(fred)))=>(quiet(john)))&
(![X]:(kind(X)<=>~happy(X)))&
(![X]:(quiet(X)=>(old(X)&~tall(X))))&
((?[X]:(~humble(X)))=>(~wise(fred)))&
(![X]:((brave(X)<~>~old(X))<=>(patient(X)<~>~creative(X))))&
(((~creative(susan)|~wise(susan)))<=>(?[... | quiet(paul) | [
"p1",
"p2",
"p3",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2137771842845071593436081
% SZS output start Proof for 2137771842845071593436081
2. (tall(fred) | kind(fred)) => quiet(john) [input p1]
3. ! [X0] : (kind(X0) <=> ~happy(X0)) [input p2]
4. ! [X0] : (quiet(X0) => (~tall(X0) & old(X0))) [input p3]
8. ? [X0] : (~brave(X0) | ~generous(X0)) <=>... | 0 |
Everyone who is not humble or not happy is strong or not patient.
Everyone who is both calm and not kind is not quiet and vice versa.
Everyone who is not calm or not quiet is not old or not calm.
If alice is both quiet and not generous then paul is both strong and not strong.
Everyone who is not funny is either old or ... | Mary is not rich. | neutral | (![X]:((~humble(X)|~happy(X))=>(strong(X)|~patient(X))))&
(![X]:((calm(X)&~kind(X))<=>~quiet(X)))&
(![X]:((~calm(X)|~quiet(X))=>(~old(X)|~calm(X))))&
(((quiet(alice)&~generous(alice)))=>((strong(paul)&~strong(paul))))&
(![X]:(~funny(X)<=>(old(X)<~>kind(X))))&
(((~humble(paul)|kind(paul)))=>((~rich(mary)<~>calm(mary))))... | ~rich(mary) | [] | null | 0 |
Everyone who is both not wise and kind is either not funny or old and vice versa.
Everyone who is wise or funny is old or not generous.
Everyone who is both not kind and not rich is not humble.
If someone is both not funny and patient then someone is either not patient or calm and vice versa.
Everyone who is either hap... | Alice is curious. | entailment | (![X]:((~wise(X)&kind(X))<=>(~funny(X)<~>old(X))))&
(![X]:((wise(X)|funny(X))=>(old(X)|~generous(X))))&
(![X]:((~kind(X)&~rich(X))=>~humble(X)))&
((?[X]:((~funny(X)&patient(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:((happy(X)<~>~wise(X))<=>old(X)))&
(![X]:(~old(X)=>(~strong(X)&funny(X))))&
(![X]:((~tall(X)&~gene... | curious(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 54649962878587338554943
% SZS output start Proof for 54649962878587338554943
20. curious(alice) & ~creative(alice) [input p19]
25. ~curious(alice) [input hypothesis]
141. curious(alice) [cnf transformation 20]
149. ~curious(alice) [cnf transformation 25]
216. 15 <=> curious(alice) [avatar... | 0 |
If someone is strong then alice is either tall or humble and vice versa.
Everyone who is kind is not quiet and vice versa.
Everyone who is humble is both not old and not calm and vice versa.
Everyone who is either not strong or not old is not happy and vice versa.
If someone is either generous or not funny then someone... | Lucy is not kind. | contradiction | ((?[X]:(strong(X)))<=>((tall(alice)<~>humble(alice))))&
(![X]:(kind(X)<=>~quiet(X)))&
(![X]:(humble(X)<=>(~old(X)&~calm(X))))&
(![X]:((~strong(X)<~>~old(X))<=>~happy(X)))&
((?[X]:((generous(X)<~>~funny(X))))<=>(?[X]:((~generous(X)&~brave(X)))))&
((?[X]:((~quiet(X)|~wise(X))))=>(?[X]:(~wise(X))))&
(![X]:((~curious(X)|ol... | ~kind(lucy) | [
"p1",
"p3",
"p6",
"p7",
"p11",
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 425878425431048613104980
% SZS output start Proof for 425878425431048613104980
2. ! [X0] : (kind(X0) <=> ~quiet(X0)) [input p1]
4. ! [X0] : ((~strong(X0) <~> ~old(X0)) <=> ~happy(X0)) [input p3]
7. ! [X0] : ((old(X0) | ~curious(X0)) => ~old(X0)) [input p6]
8. ? [X0] : ~calm(X0) <=> (~quie... | 0 |
Everyone who is either not tall or funny is rich or curious and vice versa.
Everyone who is both not calm and not generous is both not kind and not tall.
If someone is not generous then someone is calm or rich and vice versa.
Everyone who is either not wise or not patient is either not wise or not calm and vice versa.
... | Susan is not humble. | entailment | (![X]:((~tall(X)<~>funny(X))<=>(rich(X)|curious(X))))&
(![X]:((~calm(X)&~generous(X))=>(~kind(X)&~tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~wise(X)<~>~calm(X))))&
(![X]:((happy(X)|~strong(X))<=>(~tall(X)|~happy(X))))&
(![X]:((~old(X)&~patient(X))=>(creative(X)... | ~humble(susan) | [
"p3",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7064025655026719152826164
% SZS output start Proof for 7064025655026719152826164
4. ! [X0] : ((~wise(X0) <~> ~patient(X0)) <=> (~wise(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : (creative(X0) => ~curious(X0)) [input p7]
11. ! [X0] : ((~strong(X0) <~> ~humble(X0)) <=> creative(X0)) [input p... | 0 |
If lucy is both wise and not curious then mary is either brave or not tall and vice versa. Everyone who is both happy and kind is both not rich and not curious and vice versa. Everyone who is either not funny or not wise is either not old or strong and vice versa. If someone is both not creative and kind then susan is ... | Susan is humble. | contradiction | (((wise(lucy)&~curious(lucy)))<=>((brave(mary)<~>~tall(mary))))&
(![X]:((happy(X)&kind(X))<=>(~rich(X)&~curious(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~old(X)<~>strong(X))))&
((?[X]:((~creative(X)&kind(X))))=>(~rich(susan)))&
(![X]:((~funny(X)&~calm(X))<=>(wise(X)&~happy(X))))&
((~calm(susan))=>(~patient(lucy)))&
(![X... | humble(susan) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8418808081335900610676604
% SZS output start Proof for 8418808081335900610676604
15. ! [X0] : (~funny(X0) => (~strong(X0) & ~humble(X0))) [input p14]
22. ~funny(susan) & calm(susan) [input p21]
24. humble(susan) [input hypothesis]
34. ! [X0] : ((~strong(X0) & ~humble(X0)) | funny(X0)) [en... | 0 |
Everyone who is both not curious and old is both calm and creative and vice versa. Everyone who is both not calm and calm is either not quiet or not happy. If fred is not humble then fred is humble. Everyone who is either brave or not creative is both not creative and wise and vice versa. If susan is both not strong an... | Susan is not funny. | neutral | (![X]:((~curious(X)&old(X))<=>(calm(X)&creative(X))))&
(![X]:((~calm(X)&calm(X))=>(~quiet(X)<~>~happy(X))))&
((~humble(fred))=>(humble(fred)))&
(![X]:((brave(X)<~>~creative(X))<=>(~creative(X)&wise(X))))&
(((~strong(susan)&~happy(susan)))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(generous(X)<=>(old(X)<~>creative(X))))&... | ~funny(susan) | [] | null | 0 |
If john is both humble and happy then someone is both old and brave and vice versa. If mary is both not humble and generous then someone is strong or not old. Everyone who is not calm is either curious or not patient. If john is both not calm and brave then someone is not kind. Everyone who is either curious or generou... | Alice is happy. | entailment | (((humble(john)&happy(john)))<=>(?[X]:((old(X)&brave(X)))))&
(((~humble(mary)&generous(mary)))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:(~calm(X)=>(curious(X)<~>~patient(X))))&
(((~calm(john)&brave(john)))=>(?[X]:(~kind(X))))&
(![X]:((curious(X)<~>generous(X))=>~strong(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(happy(X)&ol... | happy(alice) | [
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3148986724127963512320412
% SZS output start Proof for 3148986724127963512320412
5. ! [X0] : ((curious(X0) <~> generous(X0)) => ~strong(X0)) [input p4]
6. ! [X0] : ((strong(X0) <~> ~curious(X0)) <=> (old(X0) & happy(X0))) [input p5]
9. ! [X0] : (~generous(X0) <=> (~strong(X0) & ~rich(X0))... | 0 |
If someone is both not generous and not happy then someone is either not strong or kind and vice versa. If someone is both not wise and brave then someone is not patient and vice versa. Everyone who is either strong or old is either not old or brave and vice versa. Everyone who is both old and wise is not brave or wise... | Alice is humble. | neutral | ((?[X]:((~generous(X)&~happy(X))))<=>(?[X]:((~strong(X)<~>kind(X)))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:(~patient(X))))&
(![X]:((strong(X)<~>old(X))<=>(~old(X)<~>brave(X))))&
(![X]:((old(X)&wise(X))<=>(~brave(X)|wise(X))))&
((generous(paul))=>(?[X]:((calm(X)&~strong(X)))))&
(![X]:((generous(X)|~rich(X))=>(calm(X)&... | humble(alice) | [] | null | 0 |
If john is not wise or curious then someone is either humble or not old and vice versa.
If someone is creative or not curious then mary is not generous and vice versa.
If someone is both generous and not humble then someone is not happy.
Everyone who is not creative is not calm or not tall.
Everyone who is either wise ... | Fred is strong. | neutral | (((~wise(john)|curious(john)))<=>(?[X]:((humble(X)<~>~old(X)))))&
((?[X]:((creative(X)|~curious(X))))<=>(~generous(mary)))&
((?[X]:((generous(X)&~humble(X))))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)<~>generous(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~wise(X)|creative(X))=>(~happy(... | strong(fred) | [] | null | 0 |
If mary is not patient or funny then alice is either strong or rich. Everyone who is either not old or not wise is kind and vice versa. If someone is calm or not strong then someone is both not humble and not creative and vice versa. If someone is both old and not wise then john is both kind and wise. If john is either... | Mary is not kind. | entailment | (((~patient(mary)|funny(mary)))=>((strong(alice)<~>rich(alice))))&
(![X]:((~old(X)<~>~wise(X))<=>kind(X)))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)&~wise(X))))=>((kind(john)&wise(john))))&
(((kind(john)<~>~old(john)))=>(~wise(john)))&
(![X]:(wise(X)=>(humble(X)&~brave(X))))... | ~kind(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5641874489014866744375213
% SZS output start Proof for 5641874489014866744375213
12. ! [X0] : ((~kind(X0) | generous(X0)) <=> ~generous(X0)) [input p11]
24. kind(mary) [input hypothesis]
59. ! [X0] : (((~kind(X0) | generous(X0)) | generous(X0)) & (~generous(X0) | (kind(X0) & ~generous(X0)... | 0 |
Everyone who is either calm or kind is rich and vice versa.
Everyone who is both creative and not funny is both not strong and not kind and vice versa.
Everyone who is humble is both not curious and not old.
Everyone who is not curious or creative is rich.
If someone is both not brave and quiet then john is either not ... | John is not humble. | entailment | (![X]:((calm(X)<~>kind(X))<=>rich(X)))&
(![X]:((creative(X)&~funny(X))<=>(~strong(X)&~kind(X))))&
(![X]:(humble(X)=>(~curious(X)&~old(X))))&
(![X]:((~curious(X)|creative(X))=>rich(X)))&
((?[X]:((~brave(X)&quiet(X))))<=>((~wise(john)<~>~humble(john))))&
((?[X]:(curious(X)))<=>(?[X]:(happy(X))))&
(![X]:((~quiet(X)&tall(X... | ~humble(john) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4456749274912982442295094
% SZS output start Proof for 4456749274912982442295094
3. ! [X0] : (humble(X0) => (~old(X0) & ~curious(X0))) [input p2]
14. ? [X0] : (~curious(X0) | ~brave(X0)) <=> (~creative(john) & curious(john)) [input p13]
25. humble(john) [input hypothesis]
29. ! [X0] : ((~... | 0 |
If paul is both patient and not calm then someone is tall or generous and vice versa. Everyone who is either wise or not funny is both not happy and funny and vice versa. If someone is both not funny and brave then someone is both not patient and happy. Everyone who is not strong is funny or tall and vice versa. If pau... | Fred is not curious. | neutral | (((patient(paul)&~calm(paul)))<=>(?[X]:((tall(X)|generous(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>(~happy(X)&funny(X))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:(~strong(X)<=>(funny(X)|tall(X))))&
(((happy(paul)|~brave(paul)))<=>(tall(lucy)))&
(![X]:((curious(X)&humble(X))<=>(curious(X)<... | ~curious(fred) | [] | null | 0 |
If mary is both not creative and not rich then paul is creative or not calm and vice versa.
If alice is generous then someone is quiet and vice versa.
If someone is not curious or humble then someone is not brave and vice versa.
Everyone who is both brave and wise is either not generous or not creative.
Everyone who is... | Paul is not rich. | neutral | (((~creative(mary)&~rich(mary)))<=>((creative(paul)|~calm(paul))))&
((generous(alice))<=>(?[X]:(quiet(X))))&
((?[X]:((~curious(X)|humble(X))))<=>(?[X]:(~brave(X))))&
(![X]:((brave(X)&wise(X))=>(~generous(X)<~>~creative(X))))&
(![X]:((happy(X)&generous(X))<=>(quiet(X)&curious(X))))&
(![X]:((~brave(X)<~>~curious(X))=>(qu... | ~rich(paul) | [] | null | 0 |
Everyone who is not kind is either kind or not calm and vice versa.
If someone is both not kind and not wise then alice is either rich or curious.
Everyone who is not patient or not curious is both not wise and not strong and vice versa.
Everyone who is either brave or creative is either not funny or tall.
If susan is ... | Paul is calm. | contradiction | (![X]:(~kind(X)<=>(kind(X)<~>~calm(X))))&
((?[X]:((~kind(X)&~wise(X))))=>((rich(alice)<~>curious(alice))))&
(![X]:((~patient(X)|~curious(X))<=>(~wise(X)&~strong(X))))&
(![X]:((brave(X)<~>creative(X))=>(~funny(X)<~>tall(X))))&
(((~patient(susan)<~>~tall(susan)))<=>(?[X]:((~tall(X)&~humble(X)))))&
(![X]:((~wise(X)|tall(X... | calm(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4370740664373156041563808
% SZS output start Proof for 4370740664373156041563808
1. ! [X0] : (~kind(X0) <=> (kind(X0) <~> ~calm(X0))) [input p0]
25. calm(paul) [input hypothesis]
38. ! [X0] : ((~kind(X0) | ((kind(X0) | calm(X0)) & (~calm(X0) | ~kind(X0)))) & (((calm(X0) | ~kind(X0)) & (~c... | 0 |
If paul is both curious and not quiet then susan is not kind and vice versa.
If someone is either generous or humble then someone is both kind and not funny.
Everyone who is not happy or strong is either not strong or not patient.
Everyone who is not funny is either not patient or strong.
Everyone who is not humble is ... | Susan is happy. | entailment | (((curious(paul)&~quiet(paul)))<=>(~kind(susan)))&
((?[X]:((generous(X)<~>humble(X))))=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:((~happy(X)|strong(X))=>(~strong(X)<~>~patient(X))))&
(![X]:(~funny(X)=>(~patient(X)<~>strong(X))))&
(![X]:(~humble(X)=>(calm(X)|wise(X))))&
(![X]:(brave(X)=>~creative(X)))&
(![X]:(~happy(X)<=>(~... | happy(susan) | [
"p2",
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2722865562709129268263
% SZS output start Proof for 2722865562709129268263
3. ! [X0] : ((strong(X0) | ~happy(X0)) => (~strong(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : (~funny(X0) => (~patient(X0) <~> strong(X0))) [input p3]
7. ! [X0] : (~happy(X0) <=> (~calm(X0) | ~strong(X0))) [inpu... | 0 |
If someone is not old or tall then susan is both humble and not quiet. Everyone who is either kind or not strong is humble or not rich and vice versa. Everyone who is either generous or not calm is both not curious and not old and vice versa. If paul is both kind and creative then fred is not calm. Everyone who is eith... | Lucy is not brave. | contradiction | ((?[X]:((~old(X)|tall(X))))=>((humble(susan)&~quiet(susan))))&
(![X]:((kind(X)<~>~strong(X))<=>(humble(X)|~rich(X))))&
(![X]:((generous(X)<~>~calm(X))<=>(~curious(X)&~old(X))))&
(((kind(paul)&creative(paul)))=>(~calm(fred)))&
(![X]:((happy(X)<~>creative(X))<=>(~old(X)<~>~curious(X))))&
(![X]:((rich(X)&~wise(X))<=>(~ric... | ~brave(lucy) | [
"p0",
"p1",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5552398847894812179648301
% SZS output start Proof for 5552398847894812179648301
1. ? [X0] : (tall(X0) | ~old(X0)) => (~quiet(susan) & humble(susan)) [input p0]
2. ! [X0] : ((kind(X0) <~> ~strong(X0)) <=> (~rich(X0) | humble(X0))) [input p1]
8. ! [X0] : (kind(X0) <=> ~strong(X0)) [input p... | 0 |
Everyone who is not creative is rich or tall.
Everyone who is patient or creative is either not quiet or rich and vice versa.
Everyone who is quiet is calm or not tall.
Everyone who is humble or not patient is not strong or not kind and vice versa.
If alice is not quiet or patient then lucy is creative.
If someone is e... | Lucy is not patient. | neutral | (![X]:(~creative(X)=>(rich(X)|tall(X))))&
(![X]:((patient(X)|creative(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:(quiet(X)=>(calm(X)|~tall(X))))&
(![X]:((humble(X)|~patient(X))<=>(~strong(X)|~kind(X))))&
(((~quiet(alice)|patient(alice)))=>(creative(lucy)))&
((?[X]:((~calm(X)<~>~creative(X))))<=>(?[X]:((quiet(X)|calm(X)))))&
... | ~patient(lucy) | [] | null | 0 |
If someone is not happy or not wise then paul is either not kind or wise and vice versa. Everyone who is not funny or not humble is not creative or wise and vice versa. Everyone who is not happy is not creative or funny. Everyone who is not funny is patient or not kind. If someone is not generous then fred is rich. If ... | Paul is not quiet. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((~kind(paul)<~>wise(paul))))&
(![X]:((~funny(X)|~humble(X))<=>(~creative(X)|wise(X))))&
(![X]:(~happy(X)=>(~creative(X)|funny(X))))&
(![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(!... | ~quiet(paul) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5794474691883386319438507
% SZS output start Proof for 5794474691883386319438507
7. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~quiet(X0) & funny(X0))) [input p6]
20. rich(paul) [input p19]
24. quiet(paul) [input hypothesis]
42. ! [X0] : (((rich(X0) | ~calm(X0)) | (quiet(X0) | ~funny(X0))) & (... | 0 |
If someone is either not happy or not funny then someone is both patient and not quiet and vice versa.
Everyone who is either rich or calm is either not happy or patient and vice versa.
If someone is both not patient and not strong then someone is both funny and not wise.
Everyone who is either wise or quiet is curious... | John is not brave. | neutral | ((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:((rich(X)<~>calm(X))<=>(~happy(X)<~>patient(X))))&
((?[X]:((~patient(X)&~strong(X))))=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((wise(X)<~>quiet(X))=>curious(X)))&
(![X]:((~old(X)&strong(X))=>(wise(X)|~brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>hum... | ~brave(john) | [] | null | 0 |
If someone is strong then susan is humble or not quiet and vice versa.
Everyone who is not brave or generous is curious.
If someone is both not creative and kind then someone is not generous.
Everyone who is not rich or tall is not patient or curious.
If someone is calm then john is old and vice versa.
If susan is curi... | Fred is not generous. | contradiction | ((?[X]:(strong(X)))<=>((humble(susan)|~quiet(susan))))&
(![X]:((~brave(X)|generous(X))=>curious(X)))&
((?[X]:((~creative(X)&kind(X))))=>(?[X]:(~generous(X))))&
(![X]:((~rich(X)|tall(X))=>(~patient(X)|curious(X))))&
((?[X]:(calm(X)))<=>(old(john)))&
(((curious(susan)|generous(susan)))<=>(creative(alice)))&
(![X]:((funny... | ~generous(fred) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2562987363241666503180693
% SZS output start Proof for 2562987363241666503180693
9. ! [X0] : ((~patient(X0) | generous(X0)) <=> (brave(X0) | ~old(X0))) [input p8]
10. ! [X0] : (~brave(X0) <=> (~patient(X0) & brave(X0))) [input p9]
21. ~generous(fred) [input hypothesis]
46. ! [X0] : (((~pa... | 0 |
If someone is not kind then someone is not calm or funny and vice versa.
Everyone who is not funny or not rich is not patient or not quiet and vice versa.
If someone is not old then someone is not creative.
Everyone who is either not kind or not calm is both old and not calm and vice versa.
Everyone who is not funny is... | Susan is rich. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((~calm(X)|funny(X)))))&
(![X]:((~funny(X)|~rich(X))<=>(~patient(X)|~quiet(X))))&
((?[X]:(~old(X)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>~calm(X))<=>(old(X)&~calm(X))))&
(![X]:(~funny(X)=>(~happy(X)|~quiet(X))))&
(((tall(lucy)&wise(lucy)))=>(?[X]:((~tall(X)|~calm(X)))))&
((tall(john))<... | rich(susan) | [] | null | 0 |
If alice is happy or not calm then someone is creative.
Everyone who is not funny or not generous is either humble or not rich and vice versa.
Everyone who is happy is not calm.
If paul is both generous and not brave then mary is strong or patient.
Everyone who is both happy and quiet is both rich and calm and vice ver... | Mary is curious. | neutral | (((happy(alice)|~calm(alice)))=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)<~>~rich(X))))&
(![X]:(happy(X)=>~calm(X)))&
(((generous(paul)&~brave(paul)))=>((strong(mary)|patient(mary))))&
(![X]:((happy(X)&quiet(X))<=>(rich(X)&calm(X))))&
(![X]:((~humble(X)&~tall(X))<=>(calm(X)&happy(X))))&
(![X]:... | curious(mary) | [] | null | 0 |
Everyone who is both not brave and not quiet is both not funny and not patient and vice versa.
If someone is not old then someone is not brave or quiet and vice versa.
Everyone who is either happy or not old is not quiet and vice versa.
If susan is not quiet then mary is either creative or not strong and vice versa.
Ev... | Fred is not tall. | contradiction | (![X]:((~brave(X)&~quiet(X))<=>(~funny(X)&~patient(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)|quiet(X)))))&
(![X]:((happy(X)<~>~old(X))<=>~quiet(X)))&
((~quiet(susan))<=>((creative(mary)<~>~strong(mary))))&
(![X]:(~old(X)=>patient(X)))&
(((old(alice)<~>~patient(alice)))<=>(?[X]:(~strong(X))))&
((?[X]:((~patient(X)<~>... | ~tall(fred) | [
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 876699533222088320596224
% SZS output start Proof for 876699533222088320596224
11. ! [X0] : ((patient(X0) | kind(X0)) => (~humble(X0) & happy(X0))) [input p10]
12. ! [X0] : ((~strong(X0) | patient(X0)) <=> (quiet(X0) | ~tall(X0))) [input p11]
23. strong(fred) & humble(fred) [input p22]
25... | 0 |
If alice is either not old or old then someone is not kind or not calm. Everyone who is either brave or not strong is curious and vice versa. If paul is wise then someone is strong or old and vice versa. Everyone who is brave or happy is not kind and vice versa. Everyone who is rich or not calm is not generous. If lucy... | Mary is kind. | contradiction | (((~old(alice)<~>old(alice)))=>(?[X]:((~kind(X)|~calm(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>curious(X)))&
((wise(paul))<=>(?[X]:((strong(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>~kind(X)))&
(![X]:((rich(X)|~calm(X))=>~generous(X)))&
(((~humble(lucy)|~wise(lucy)))<=>((happy(fred)|~wise(fred))))&
(![X]:(patient(X)<... | kind(mary) | [
"p1",
"p3",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4862255805819267991152845
% SZS output start Proof for 4862255805819267991152845
2. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> curious(X0)) [input p1]
4. ! [X0] : ((happy(X0) | brave(X0)) <=> ~kind(X0)) [input p3]
13. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> ~kind(X0)) [input p12]
18. happy... | 0 |
If someone is either not patient or not happy then someone is either not quiet or not brave and vice versa. If someone is either not old or creative then mary is patient and vice versa. Everyone who is patient is creative. Everyone who is both not calm and rich is patient. Everyone who is either not generous or strong ... | Susan is creative. | contradiction | ((?[X]:((~patient(X)<~>~happy(X))))<=>(?[X]:((~quiet(X)<~>~brave(X)))))&
((?[X]:((~old(X)<~>creative(X))))<=>(patient(mary)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((~calm(X)&rich(X))=>patient(X)))&
(![X]:((~generous(X)<~>strong(X))=>(quiet(X)<~>generous(X))))&
(![X]:((rich(X)<~>brave(X))=>(kind(X)&humble(X))))&
(![... | creative(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7681272406852450001246553
% SZS output start Proof for 7681272406852450001246553
23. ~creative(susan) & old(susan) [input p22]
24. creative(susan) [input hypothesis]
130. ~creative(susan) [cnf transformation 23]
131. creative(susan) [cnf transformation 24]
274. $false [subsumption resolut... | 0 |
Everyone who is not calm or patient is generous and vice versa.
Everyone who is wise or not old is both not happy and wise and vice versa.
If fred is not calm or not old then susan is either rich or quiet.
If susan is generous or not generous then someone is either strong or not creative.
Everyone who is not brave or b... | Alice is happy. | neutral | (![X]:((~calm(X)|patient(X))<=>generous(X)))&
(![X]:((wise(X)|~old(X))<=>(~happy(X)&wise(X))))&
(((~calm(fred)|~old(fred)))=>((rich(susan)<~>quiet(susan))))&
(((generous(susan)|~generous(susan)))=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((~brave(X)|brave(X))=>(~strong(X)&~humble(X))))&
((?[X]:((~brave(X)<~>generous... | happy(alice) | [] | null | 0 |
Everyone who is not creative or calm is happy or rich and vice versa.
If john is creative or not funny then someone is both not tall and funny.
Everyone who is not curious or not kind is rich or happy and vice versa.
Everyone who is either not old or not kind is either calm or not patient and vice versa.
Everyone who i... | Fred is not calm. | contradiction | (![X]:((~creative(X)|calm(X))<=>(happy(X)|rich(X))))&
(((creative(john)|~funny(john)))=>(?[X]:((~tall(X)&funny(X)))))&
(![X]:((~curious(X)|~kind(X))<=>(rich(X)|happy(X))))&
(![X]:((~old(X)<~>~kind(X))<=>(calm(X)<~>~patient(X))))&
(![X]:((~generous(X)|~humble(X))=>rich(X)))&
(((~tall(lucy)<~>wise(lucy)))=>((~rich(lucy)<... | ~calm(fred) | [
"p0",
"p4",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 32873868652785345332382
% SZS output start Proof for 32873868652785345332382
1. ! [X0] : ((calm(X0) | ~creative(X0)) <=> (rich(X0) | happy(X0))) [input p0]
5. ! [X0] : ((~humble(X0) | ~generous(X0)) => rich(X0)) [input p4]
7. ! [X0] : (curious(X0) <=> (creative(X0) | ~curious(X0))) [input... | 0 |
Everyone who is not funny is both not wise and patient. Everyone who is both not calm and generous is not creative or not kind and vice versa. Everyone who is either humble or creative is either not rich or generous and vice versa. Everyone who is funny is both not creative and not strong. If someone is not curious or ... | Alice is not strong. | neutral | (![X]:(~funny(X)=>(~wise(X)&patient(X))))&
(![X]:((~calm(X)&generous(X))<=>(~creative(X)|~kind(X))))&
(![X]:((humble(X)<~>creative(X))<=>(~rich(X)<~>generous(X))))&
(![X]:(funny(X)=>(~creative(X)&~strong(X))))&
((?[X]:((~curious(X)|wise(X))))<=>(kind(susan)))&
(![X]:((humble(X)&curious(X))<=>~calm(X)))&
((?[X]:(funny(X... | ~strong(alice) | [] | null | 0 |
Everyone who is not humble is quiet or curious and vice versa.
If lucy is either tall or not kind then lucy is either not old or not kind and vice versa.
Everyone who is not rich or not brave is either brave or not tall.
Everyone who is both tall and not funny is either creative or not wise.
Everyone who is either not ... | Paul is old. | neutral | (![X]:(~humble(X)<=>(quiet(X)|curious(X))))&
(((tall(lucy)<~>~kind(lucy)))<=>((~old(lucy)<~>~kind(lucy))))&
(![X]:((~rich(X)|~brave(X))=>(brave(X)<~>~tall(X))))&
(![X]:((tall(X)&~funny(X))=>(creative(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>generous(X))=>rich(X)))&
(((~kind(paul)&funny(paul)))=>(?[X]:((creative(X)|~patient... | old(paul) | [] | null | 0 |
Everyone who is both not humble and rich is strong or funny and vice versa.
Everyone who is either not curious or not generous is strong and vice versa.
Everyone who is creative is funny or not curious.
Everyone who is either strong or not strong is funny and vice versa.
Everyone who is not generous or tall is strong.
... | Alice is wise. | contradiction | (![X]:((~humble(X)&rich(X))<=>(strong(X)|funny(X))))&
(![X]:((~curious(X)<~>~generous(X))<=>strong(X)))&
(![X]:(creative(X)=>(funny(X)|~curious(X))))&
(![X]:((strong(X)<~>~strong(X))<=>funny(X)))&
(![X]:((~generous(X)|tall(X))=>strong(X)))&
((?[X]:((rich(X)&calm(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
((?[X]:((old(... | wise(alice) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 321538874313948846561427
% SZS output start Proof for 321538874313948846561427
1. ! [X0] : ((rich(X0) & ~humble(X0)) <=> (funny(X0) | strong(X0))) [input p0]
2. ! [X0] : ((~curious(X0) <~> ~generous(X0)) <=> strong(X0)) [input p1]
5. ! [X0] : ((tall(X0) | ~generous(X0)) => strong(X0)) [in... | 0 |
Everyone who is not wise is both wise and quiet.
Everyone who is not strong or not quiet is not quiet.
Everyone who is both brave and not patient is either tall or not happy and vice versa.
Everyone who is both not tall and not rich is brave or not brave and vice versa.
Everyone who is either not kind or quiet is not c... | Alice is not curious. | neutral | (![X]:(~wise(X)=>(wise(X)&quiet(X))))&
(![X]:((~strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((brave(X)&~patient(X))<=>(tall(X)<~>~happy(X))))&
(![X]:((~tall(X)&~rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~kind(X)<~>quiet(X))=>~calm(X)))&
(((quiet(john)&old(john)))<=>(?[X]:((~happy(X)<~>patient(X)))))&
(![X]:((~wise(X)<~>o... | ~curious(alice) | [] | null | 0 |
Everyone who is either not curious or happy is generous or wise and vice versa.
Everyone who is not rich or not generous is not creative or not curious.
If someone is calm or kind then someone is patient or not calm and vice versa.
Everyone who is not tall is both not brave and humble.
If lucy is both funny and not tal... | Paul is creative. | entailment | (![X]:((~curious(X)<~>happy(X))<=>(generous(X)|wise(X))))&
(![X]:((~rich(X)|~generous(X))=>(~creative(X)|~curious(X))))&
((?[X]:((calm(X)|kind(X))))<=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:(~tall(X)=>(~brave(X)&humble(X))))&
(((funny(lucy)&~tall(lucy)))<=>((~curious(alice)|~wise(alice))))&
(![X]:((curious(X)<~>~humble... | creative(paul) | [
"p5",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1627430173000092484521071
% SZS output start Proof for 1627430173000092484521071
6. ! [X0] : ((curious(X0) <~> ~humble(X0)) <=> (~curious(X0) & ~strong(X0))) [input p5]
9. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> creative(X0)) [input p8]
11. ! [X0] : (~creative(X0) <=> (~happy(X0) <~> hum... | 0 |
Everyone who is not quiet or calm is rich or not calm.
Everyone who is not calm or generous is either not happy or kind and vice versa.
If someone is humble then paul is either not wise or calm.
Everyone who is not brave or happy is not happy and vice versa.
If someone is both not strong and not brave then susan is not... | Alice is generous. | contradiction | (![X]:((~quiet(X)|calm(X))=>(rich(X)|~calm(X))))&
(![X]:((~calm(X)|generous(X))<=>(~happy(X)<~>kind(X))))&
((?[X]:(humble(X)))=>((~wise(paul)<~>calm(paul))))&
(![X]:((~brave(X)|happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)&~brave(X))))<=>(~patient(susan)))&
((?[X]:((~strong(X)|calm(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~h... | generous(alice) | [
"p0",
"p1",
"p3",
"p6",
"p12",
"p14",
"p15",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2900378156398650073436082
% SZS output start Proof for 2900378156398650073436082
1. ! [X0] : ((calm(X0) | ~quiet(X0)) => (~calm(X0) | rich(X0))) [input p0]
2. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (~happy(X0) <~> kind(X0))) [input p1]
4. ! [X0] : ((happy(X0) | ~brave(X0)) <=> ~happy(X0... | 0 |
Everyone who is either not curious or not humble is humble and vice versa.
Everyone who is both old and creative is both tall and curious.
If paul is both not kind and not humble then lucy is not kind or not old and vice versa.
Everyone who is both not kind and not curious is both not strong and humble and vice versa.
... | Paul is patient. | neutral | (![X]:((~curious(X)<~>~humble(X))<=>humble(X)))&
(![X]:((old(X)&creative(X))=>(tall(X)&curious(X))))&
(((~kind(paul)&~humble(paul)))<=>((~kind(lucy)|~old(lucy))))&
(![X]:((~kind(X)&~curious(X))<=>(~strong(X)&humble(X))))&
(![X]:(patient(X)<=>(brave(X)&~quiet(X))))&
(((brave(mary)|quiet(mary)))<=>((rich(mary)<~>~patient... | patient(paul) | [] | null | 0 |
Everyone who is both not old and patient is tall or kind.
Everyone who is both happy and humble is both humble and not kind.
If lucy is not kind then someone is not tall.
If paul is tall or not old then someone is not happy.
Everyone who is kind is either funny or not happy.
If paul is humble then paul is both quiet an... | Paul is calm. | neutral | (![X]:((~old(X)&patient(X))=>(tall(X)|kind(X))))&
(![X]:((happy(X)&humble(X))=>(humble(X)&~kind(X))))&
((~kind(lucy))=>(?[X]:(~tall(X))))&
(((tall(paul)|~old(paul)))=>(?[X]:(~happy(X))))&
(![X]:(kind(X)=>(funny(X)<~>~happy(X))))&
((humble(paul))<=>((quiet(paul)&~curious(paul))))&
(![X]:(~brave(X)=>(~strong(X)&~calm(X))... | calm(paul) | [] | null | 0 |
If mary is both rich and not generous then alice is either not kind or kind and vice versa. If someone is both not humble and not rich then alice is both funny and not tall. Everyone who is brave is either not wise or not old and vice versa. If lucy is either quiet or kind then john is both not brave and creative. If s... | John is patient. | contradiction | (((rich(mary)&~generous(mary)))<=>((~kind(alice)<~>kind(alice))))&
((?[X]:((~humble(X)&~rich(X))))=>((funny(alice)&~tall(alice))))&
(![X]:(brave(X)<=>(~wise(X)<~>~old(X))))&
(((quiet(lucy)<~>kind(lucy)))=>((~brave(john)&creative(john))))&
((?[X]:(~kind(X)))<=>(?[X]:((wise(X)&~strong(X)))))&
((~humble(alice))<=>((~gener... | patient(john) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7287570243461806351195044
% SZS output start Proof for 7287570243461806351195044
9. ! [X0] : (rich(X0) <=> (~happy(X0) | patient(X0))) [input p8]
13. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (patient(X0) | wise(X0))) [input p12]
24. patient(john) [input hypothesis]
49. ! [X0] : ((rich(X0) | (... | 0 |
Everyone who is old or not old is not humble and vice versa.
Everyone who is both not generous and curious is either not curious or generous and vice versa.
Everyone who is patient is wise or not rich and vice versa.
If susan is not generous then someone is both old and not creative.
Everyone who is either quiet or cre... | Lucy is humble. | contradiction | (![X]:((old(X)|~old(X))<=>~humble(X)))&
(![X]:((~generous(X)&curious(X))<=>(~curious(X)<~>generous(X))))&
(![X]:(patient(X)<=>(wise(X)|~rich(X))))&
((~generous(susan))=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((quiet(X)<~>creative(X))<=>(old(X)|~funny(X))))&
(![X]:((~strong(X)<~>~humble(X))=>kind(X)))&
(![X]:((generous(... | humble(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8927962781053009959360037
% SZS output start Proof for 8927962781053009959360037
1. ! [X0] : ((~old(X0) | old(X0)) <=> ~humble(X0)) [input p0]
23. humble(lucy) [input hypothesis]
31. ! [X0] : (((~old(X0) | old(X0)) | humble(X0)) & (~humble(X0) | (old(X0) & ~old(X0)))) [nnf transformation ... | 0 |
Everyone who is rich or strong is calm.
Everyone who is patient is tall or creative and vice versa.
If someone is both not patient and kind then alice is both happy and not funny.
Everyone who is not curious is both old and calm and vice versa.
Everyone who is brave is not quiet and vice versa.
Everyone who is wise is ... | Lucy is creative. | neutral | (![X]:((rich(X)|strong(X))=>calm(X)))&
(![X]:(patient(X)<=>(tall(X)|creative(X))))&
((?[X]:((~patient(X)&kind(X))))=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patient(X)<~>rich(X))))&
((?[X]:(funny(X)))=>((~tall(lucy)|curious(lucy))))&
(![X... | creative(lucy) | [] | null | 0 |
Everyone who is patient or old is both not quiet and not kind. Everyone who is creative is rich and vice versa. Everyone who is not old is not kind and vice versa. Everyone who is not funny is kind and vice versa. If someone is wise or not generous then john is both kind and not brave and vice versa. If someone is both... | Lucy is creative. | contradiction | (![X]:((patient(X)|old(X))=>(~quiet(X)&~kind(X))))&
(![X]:(creative(X)<=>rich(X)))&
(![X]:(~old(X)<=>~kind(X)))&
(![X]:(~funny(X)<=>kind(X)))&
((?[X]:((wise(X)|~generous(X))))<=>((kind(john)&~brave(john))))&
((?[X]:((funny(X)&~quiet(X))))<=>((~curious(alice)|~patient(alice))))&
((wise(fred))=>(~happy(lucy)))&
(((~humbl... | creative(lucy) | [
"p0",
"p2",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4268565977927460225370839
% SZS output start Proof for 4268565977927460225370839
1. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : (~old(X0) <=> ~kind(X0)) [input p2]
5. ? [X0] : (~generous(X0) | wise(X0)) <=> (~brave(john) & kind(john)) [input p4]
1... | 0 |
Everyone who is not creative or generous is not wise or rich and vice versa. Everyone who is not funny or wise is either not creative or not strong and vice versa. Everyone who is both calm and not wise is either kind or not generous and vice versa. If fred is not wise or not patient then john is both wise and not tall... | John is patient. | neutral | (![X]:((~creative(X)|generous(X))<=>(~wise(X)|rich(X))))&
(![X]:((~funny(X)|wise(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((calm(X)&~wise(X))<=>(kind(X)<~>~generous(X))))&
(((~wise(fred)|~patient(fred)))<=>((wise(john)&~tall(john))))&
(![X]:((calm(X)&~old(X))<=>(~brave(X)|old(X))))&
((?[X]:((wise(X)|curious(X))))=>((... | patient(john) | [] | null | 0 |
Everyone who is both not brave and not humble is both not wise and calm and vice versa. Everyone who is kind or not strong is not tall and vice versa. Everyone who is both rich and not old is not happy or not tall. If fred is both strong and old then mary is not brave or brave and vice versa. Everyone who is old or pat... | Susan is not happy. | neutral | (![X]:((~brave(X)&~humble(X))<=>(~wise(X)&calm(X))))&
(![X]:((kind(X)|~strong(X))<=>~tall(X)))&
(![X]:((rich(X)&~old(X))=>(~happy(X)|~tall(X))))&
(((strong(fred)&old(fred)))<=>((~brave(mary)|brave(mary))))&
(![X]:((old(X)|patient(X))<=>(~strong(X)|~quiet(X))))&
(![X]:((funny(X)&~quiet(X))<=>~humble(X)))&
((?[X]:((kind(... | ~happy(susan) | [] | null | 0 |
Everyone who is not wise or wise is either not tall or not wise and vice versa.
Everyone who is creative or funny is brave or kind and vice versa.
Everyone who is both tall and wise is either wise or creative.
Everyone who is both generous and not tall is both kind and happy.
If alice is kind or calm then someone is ri... | Alice is patient. | contradiction | (![X]:((~wise(X)|wise(X))<=>(~tall(X)<~>~wise(X))))&
(![X]:((creative(X)|funny(X))<=>(brave(X)|kind(X))))&
(![X]:((tall(X)&wise(X))=>(wise(X)<~>creative(X))))&
(![X]:((generous(X)&~tall(X))=>(kind(X)&happy(X))))&
(((kind(alice)|calm(alice)))<=>(?[X]:((rich(X)|~strong(X)))))&
((?[X]:((old(X)<~>wise(X))))<=>((quiet(susan... | patient(alice) | [
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4173331989337213178530893
% SZS output start Proof for 4173331989337213178530893
11. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~patient(X0) & humble(X0))) [input p10]
18. patient(alice) <~> creative(alice) [input p17]
24. patient(alice) [input hypothesis]
31. ! [X0] : ((~patient(X0) & h... | 0 |
Everyone who is both creative and not rich is tall. Everyone who is both old and brave is both old and not wise and vice versa. Everyone who is rich is wise or not humble and vice versa. If lucy is either creative or not generous then someone is both tall and rich and vice versa. If someone is not generous or old then ... | Mary is not creative. | neutral | (![X]:((creative(X)&~rich(X))=>tall(X)))&
(![X]:((old(X)&brave(X))<=>(old(X)&~wise(X))))&
(![X]:(rich(X)<=>(wise(X)|~humble(X))))&
(((creative(lucy)<~>~generous(lucy)))<=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:((~generous(X)|old(X))))<=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((~generous(X)<~>~funny(X))<=>(~tall(X)|humble(X)... | ~creative(mary) | [] | null | 0 |
Everyone who is either wise or not humble is both generous and not tall and vice versa.
If someone is both creative and happy then someone is both not patient and strong and vice versa.
Everyone who is either generous or not happy is not brave.
Everyone who is not old or calm is either not curious or humble.
Everyone w... | Susan is not generous. | contradiction | (![X]:((wise(X)<~>~humble(X))<=>(generous(X)&~tall(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((~patient(X)&strong(X)))))&
(![X]:((generous(X)<~>~happy(X))=>~brave(X)))&
(![X]:((~old(X)|calm(X))=>(~curious(X)<~>humble(X))))&
(![X]:(brave(X)=>(rich(X)|strong(X))))&
(![X]:((strong(X)|happy(X))=>(~wise(X)|~creative(X... | ~generous(susan) | [
"p0",
"p7",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6935641318083735449698408
% SZS output start Proof for 6935641318083735449698408
1. ! [X0] : ((wise(X0) <~> ~humble(X0)) <=> (~tall(X0) & generous(X0))) [input p0]
8. ! [X0] : (~creative(X0) <=> (humble(X0) <~> ~strong(X0))) [input p7]
12. ! [X0] : ((~calm(X0) | wise(X0)) => (humble(X0) &... | 0 |
If lucy is wise then someone is rich. Everyone who is not calm is either not kind or not strong. Everyone who is generous or not kind is either not old or not strong and vice versa. Everyone who is either quiet or strong is both not tall and not wise and vice versa. Everyone who is strong or not wise is both not humble... | Alice is not creative. | neutral | ((wise(lucy))=>(?[X]:(rich(X))))&
(![X]:(~calm(X)=>(~kind(X)<~>~strong(X))))&
(![X]:((generous(X)|~kind(X))<=>(~old(X)<~>~strong(X))))&
(![X]:((quiet(X)<~>strong(X))<=>(~tall(X)&~wise(X))))&
(![X]:((strong(X)|~wise(X))<=>(~humble(X)&kind(X))))&
(![X]:((generous(X)<~>~calm(X))=>~strong(X)))&
(![X]:((~kind(X)&~rich(X))=>... | ~creative(alice) | [] | null | 0 |
Everyone who is either not curious or funny is both patient and not generous and vice versa.
Everyone who is both quiet and wise is both strong and not curious.
If alice is not happy or strong then john is not rich or wise.
If someone is either not kind or not brave then someone is either not patient or rich.
If someon... | Mary is quiet. | contradiction | (![X]:((~curious(X)<~>funny(X))<=>(patient(X)&~generous(X))))&
(![X]:((quiet(X)&wise(X))=>(strong(X)&~curious(X))))&
(((~happy(alice)|strong(alice)))=>((~rich(john)|wise(john))))&
((?[X]:((~kind(X)<~>~brave(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
((?[X]:((humble(X)<~>happy(X))))<=>((~strong(fred)&kind(fred))))&
((qui... | quiet(mary) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5029994866224541094501374
% SZS output start Proof for 5029994866224541094501374
9. ! [X0] : ((strong(X0) & ~quiet(X0)) <=> kind(X0)) [input p8]
10. ? [X0] : (~kind(X0) | brave(X0)) <=> (~happy(mary) & happy(mary)) [input p9]
24. quiet(mary) [input hypothesis]
51. ! [X0] : (((strong(X0) &... | 0 |
If someone is both not funny and not quiet then someone is old or not strong and vice versa. If mary is not curious then john is not funny or kind and vice versa. If someone is calm then lucy is either happy or strong. If alice is either not happy or not wise then someone is not creative. If mary is wise then paul is e... | Mary is strong. | neutral | ((?[X]:((~funny(X)&~quiet(X))))<=>(?[X]:((old(X)|~strong(X)))))&
((~curious(mary))<=>((~funny(john)|kind(john))))&
((?[X]:(calm(X)))=>((happy(lucy)<~>strong(lucy))))&
(((~happy(alice)<~>~wise(alice)))=>(?[X]:(~creative(X))))&
((wise(mary))=>((~calm(paul)<~>~creative(paul))))&
(![X]:((tall(X)<~>~old(X))=>(~old(X)<~>funn... | strong(mary) | [] | null | 0 |
Everyone who is either not rich or rich is patient and vice versa. If fred is either not quiet or not wise then alice is creative. If someone is either generous or kind then someone is not humble and vice versa. If susan is both quiet and funny then someone is tall or old. If someone is either not old or not tall then ... | Susan is patient. | entailment | (![X]:((~rich(X)<~>rich(X))<=>patient(X)))&
(((~quiet(fred)<~>~wise(fred)))=>(creative(alice)))&
((?[X]:((generous(X)<~>kind(X))))<=>(?[X]:(~humble(X))))&
(((quiet(susan)&funny(susan)))=>(?[X]:((tall(X)|old(X)))))&
((?[X]:((~old(X)<~>~tall(X))))=>((~calm(paul)&~wise(paul))))&
(((~patient(paul)<~>~funny(paul)))<=>((~cre... | patient(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 508452417808913500265769
% SZS output start Proof for 508452417808913500265769
1. ! [X0] : ((~rich(X0) <~> rich(X0)) <=> patient(X0)) [input p0]
25. ~patient(susan) [input hypothesis]
39. ! [X0] : ((((~rich(X0) | rich(X0)) & (rich(X0) | ~rich(X0))) | ~patient(X0)) & (patient(X0) | ((~rich... | 0 |
If mary is both calm and old then susan is patient or not generous. If someone is not strong then paul is not curious or happy. If someone is either not tall or tall then someone is not curious or not kind and vice versa. Everyone who is not generous or happy is old or not humble. Everyone who is both strong and not ha... | Alice is old. | neutral | (((calm(mary)&old(mary)))=>((patient(susan)|~generous(susan))))&
((?[X]:(~strong(X)))=>((~curious(paul)|happy(paul))))&
((?[X]:((~tall(X)<~>tall(X))))<=>(?[X]:((~curious(X)|~kind(X)))))&
(![X]:((~generous(X)|happy(X))=>(old(X)|~humble(X))))&
(![X]:((strong(X)&~happy(X))=>(~curious(X)&funny(X))))&
(![X]:((funny(X)<~>cre... | old(alice) | [] | null | 0 |
If someone is either strong or not rich then paul is rich and vice versa.
If someone is not humble or strong then someone is either patient or creative.
Everyone who is both old and not brave is both not calm and old and vice versa.
If someone is either not humble or generous then susan is either not kind or kind and v... | Lucy is not strong. | contradiction | ((?[X]:((strong(X)<~>~rich(X))))<=>(rich(paul)))&
((?[X]:((~humble(X)|strong(X))))=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:((old(X)&~brave(X))<=>(~calm(X)&old(X))))&
((?[X]:((~humble(X)<~>generous(X))))<=>((~kind(susan)<~>kind(susan))))&
(![X]:(~creative(X)=>(kind(X)&~tall(X))))&
(![X]:((wise(X)|rich(X))=>(tall(X)... | ~strong(lucy) | [
"p0",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7417013915083369201864308
% SZS output start Proof for 7417013915083369201864308
1. ? [X0] : (strong(X0) <~> ~rich(X0)) <=> rich(paul) [input p0]
6. ! [X0] : ((rich(X0) | wise(X0)) => (strong(X0) & tall(X0))) [input p5]
9. ! [X0] : ((funny(X0) | rich(X0)) => (creative(X0) & ~strong(X0))) ... | 0 |
Everyone who is quiet or happy is happy or creative and vice versa.
If lucy is not old or humble then mary is both happy and not patient and vice versa.
Everyone who is happy or not creative is either not humble or kind.
Everyone who is generous is humble.
If someone is calm or kind then someone is not calm and vice ve... | Susan is patient. | neutral | (![X]:((quiet(X)|happy(X))<=>(happy(X)|creative(X))))&
(((~old(lucy)|humble(lucy)))<=>((happy(mary)&~patient(mary))))&
(![X]:((happy(X)|~creative(X))=>(~humble(X)<~>kind(X))))&
(![X]:(generous(X)=>humble(X)))&
((?[X]:((calm(X)|kind(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((quiet(X)|~old(X))))<=>(?[X]:(quiet(X))))&
(![X]:((s... | patient(susan) | [] | null | 0 |
If mary is funny or not rich then someone is not strong.
Everyone who is both patient and not curious is either not humble or tall.
If susan is both not old and not strong then someone is not brave or not patient and vice versa.
If alice is both patient and not patient then someone is tall or creative and vice versa.
E... | Paul is not creative. | entailment | (((funny(mary)|~rich(mary)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~humble(X)<~>tall(X))))&
(((~old(susan)&~strong(susan)))<=>(?[X]:((~brave(X)|~patient(X)))))&
(((patient(alice)&~patient(alice)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((~rich(X)|~calm(X))=>rich(X)))&
(![X]:((wise(X)<~>kind(X))<=>(... | ~creative(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5385813178420685332248147
% SZS output start Proof for 5385813178420685332248147
4. (~patient(alice) & patient(alice)) <=> ? [X0] : (creative(X0) | tall(X0)) [input p3]
23. creative(paul) [input hypothesis]
41. ((~patient(alice) & patient(alice)) | ! [X0] : (~creative(X0) & ~tall(X0))) & ... | 0 |
If someone is curious or not wise then someone is both humble and old.
Everyone who is patient is strong and vice versa.
Everyone who is both old and quiet is not creative and vice versa.
Everyone who is both creative and brave is either not patient or humble and vice versa.
Everyone who is both happy and not curious i... | Susan is quiet. | neutral | ((?[X]:((curious(X)|~wise(X))))=>(?[X]:((humble(X)&old(X)))))&
(![X]:(patient(X)<=>strong(X)))&
(![X]:((old(X)&quiet(X))<=>~creative(X)))&
(![X]:((creative(X)&brave(X))<=>(~patient(X)<~>humble(X))))&
(![X]:((happy(X)&~curious(X))<=>(curious(X)|tall(X))))&
(((creative(susan)<~>~wise(susan)))<=>((~creative(susan)&~humble... | quiet(susan) | [] | null | 0 |
Everyone who is generous is either tall or happy. If john is either not tall or happy then alice is both not old and patient. If someone is either funny or old then paul is not strong or not creative. Everyone who is both old and not tall is wise. Everyone who is both brave and creative is either happy or not humble. E... | John is not brave. | entailment | (![X]:(generous(X)=>(tall(X)<~>happy(X))))&
(((~tall(john)<~>happy(john)))=>((~old(alice)&patient(alice))))&
((?[X]:((funny(X)<~>old(X))))=>((~strong(paul)|~creative(paul))))&
(![X]:((old(X)&~tall(X))=>wise(X)))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&... | ~brave(john) | [
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 509638868486819680888699
% SZS output start Proof for 509638868486819680888699
2. (~tall(john) <~> happy(john)) => (patient(alice) & ~old(alice)) [input p1]
5. ! [X0] : ((creative(X0) & brave(X0)) => (happy(X0) <~> ~humble(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> (patient(X0) & gen... | 0 |
Everyone who is not funny is rich and vice versa.
Everyone who is rich is either humble or curious and vice versa.
Everyone who is calm or brave is not curious.
If fred is either calm or not rich then someone is both not generous and not rich and vice versa.
Everyone who is not quiet or not tall is calm or not brave.
E... | Fred is curious. | neutral | (![X]:(~funny(X)<=>rich(X)))&
(![X]:(rich(X)<=>(humble(X)<~>curious(X))))&
(![X]:((calm(X)|brave(X))=>~curious(X)))&
(((calm(fred)<~>~rich(fred)))<=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((~quiet(X)|~tall(X))=>(calm(X)|~brave(X))))&
(![X]:(~brave(X)<=>(~tall(X)|~strong(X))))&
((?[X]:((humble(X)&~quiet(X))))=>(?[X]:(... | curious(fred) | [] | null | 0 |
Everyone who is both not patient and brave is either creative or curious. If someone is not creative then susan is humble. Everyone who is quiet or not strong is either not tall or calm. Everyone who is tall or kind is generous and vice versa. Everyone who is both not tall and not quiet is brave. If john is not humble ... | Mary is not calm. | entailment | (![X]:((~patient(X)&brave(X))=>(creative(X)<~>curious(X))))&
((?[X]:(~creative(X)))=>(humble(susan)))&
(![X]:((quiet(X)|~strong(X))=>(~tall(X)<~>calm(X))))&
(![X]:((tall(X)|kind(X))<=>generous(X)))&
(![X]:((~tall(X)&~quiet(X))=>brave(X)))&
(((~humble(john)|patient(john)))=>(?[X]:((rich(X)|~generous(X)))))&
((?[X]:(~hum... | ~calm(mary) | [
"p1",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7776102886324168114561474
% SZS output start Proof for 7776102886324168114561474
2. ? [X0] : ~creative(X0) => humble(susan) [input p1]
11. ! [X0] : ((humble(X0) | kind(X0)) => (kind(X0) & ~creative(X0))) [input p10]
16. ! [X0] : (calm(X0) => (patient(X0) & kind(X0))) [input p15]
24. ~humb... | 0 |
Everyone who is both not wise and old is either brave or curious. Everyone who is both kind and not humble is not patient or patient. Everyone who is either not humble or humble is both curious and calm and vice versa. If fred is not happy or not curious then alice is generous or calm and vice versa. If someone is eith... | Lucy is not generous. | contradiction | (![X]:((~wise(X)&old(X))=>(brave(X)<~>curious(X))))&
(![X]:((kind(X)&~humble(X))=>(~patient(X)|patient(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(curious(X)&calm(X))))&
(((~happy(fred)|~curious(fred)))<=>((generous(alice)|calm(alice))))&
((?[X]:((generous(X)<~>rich(X))))<=>(?[X]:((~humble(X)|old(X)))))&
(![X]:(old(X)=>g... | ~generous(lucy) | [
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6794830127630803182775171
% SZS output start Proof for 6794830127630803182775171
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (calm(X0) & curious(X0))) [input p2]
6. ! [X0] : (old(X0) => generous(X0)) [input p5]
16. ? [X0] : ~old(X0) => ? [X0] : (~calm(X0) & ~humble(X0)) [input p15]
24. ... | 0 |
If lucy is old then john is not quiet or quiet. If lucy is not funny or funny then someone is both funny and happy and vice versa. Everyone who is either not brave or tall is old or not brave. Everyone who is both quiet and not generous is not brave or curious and vice versa. If someone is either not funny or curious t... | Alice is wise. | entailment | ((old(lucy))=>((~quiet(john)|quiet(john))))&
(((~funny(lucy)|funny(lucy)))<=>(?[X]:((funny(X)&happy(X)))))&
(![X]:((~brave(X)<~>tall(X))=>(old(X)|~brave(X))))&
(![X]:((quiet(X)&~generous(X))<=>(~brave(X)|curious(X))))&
((?[X]:((~funny(X)<~>curious(X))))=>((~patient(john)<~>~quiet(john))))&
(![X]:((~patient(X)<~>wise(X)... | wise(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7936284740112220564703695
% SZS output start Proof for 7936284740112220564703695
6. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> patient(X0)) [input p5]
24. ~wise(alice) [input hypothesis]
47. ! [X0] : ((((~wise(X0) | patient(X0)) & (wise(X0) | ~patient(X0))) | ~patient(X0)) & (patient(X0) |... | 0 |
If john is both not brave and curious then someone is creative and vice versa. Everyone who is not wise or brave is brave or not old and vice versa. Everyone who is funny or not generous is both patient and old. Everyone who is either not funny or wise is brave and vice versa. Everyone who is wise or not kind is not pa... | Alice is not brave. | contradiction | (((~brave(john)&curious(john)))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|brave(X))<=>(brave(X)|~old(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)&old(X))))&
(![X]:((~funny(X)<~>wise(X))<=>brave(X)))&
(![X]:((wise(X)|~kind(X))<=>~patient(X)))&
(![X]:(creative(X)=>patient(X)))&
((?[X]:((~generous(X)|rich(X))))=>(?[... | ~brave(alice) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8061038576107987454989512
% SZS output start Proof for 8061038576107987454989512
2. ! [X0] : ((brave(X0) | ~wise(X0)) <=> (~old(X0) | brave(X0))) [input p1]
3. ! [X0] : ((~generous(X0) | funny(X0)) => (old(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> brave(X0)... | 0 |
If alice is either humble or not old then someone is funny. If paul is either curious or not creative then someone is not wise. Everyone who is not brave is both not tall and creative and vice versa. Everyone who is both calm and not quiet is either not quiet or not happy. If john is not old or not quiet then paul is t... | Paul is generous. | entailment | (((humble(alice)<~>~old(alice)))=>(?[X]:(funny(X))))&
(((curious(paul)<~>~creative(paul)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(~tall(X)&creative(X))))&
(![X]:((calm(X)&~quiet(X))=>(~quiet(X)<~>~happy(X))))&
(((~old(john)|~quiet(john)))<=>((tall(paul)|~happy(paul))))&
(![X]:(old(X)<=>(~tall(X)|humble(X))))&
(![X]:(... | generous(paul) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5878687172634318213315170
% SZS output start Proof for 5878687172634318213315170
7. ! [X0] : (~generous(X0) => (happy(X0) & humble(X0))) [input p6]
20. ~strong(paul) & ~happy(paul) [input p19]
24. ~generous(paul) [input hypothesis]
26. ~happy(paul) [pure predicate removal 20]
31. ! [X0] :... | 0 |
If paul is either generous or not quiet then someone is wise.
Everyone who is not old is both not brave and not patient.
Everyone who is curious or not funny is wise.
If fred is either creative or wise then susan is not old.
If someone is both not patient and not kind then mary is either creative or not rich.
If someon... | Mary is not funny. | contradiction | (((generous(paul)<~>~quiet(paul)))=>(?[X]:(wise(X))))&
(![X]:(~old(X)=>(~brave(X)&~patient(X))))&
(![X]:((curious(X)|~funny(X))=>wise(X)))&
(((creative(fred)<~>wise(fred)))=>(~old(susan)))&
((?[X]:((~patient(X)&~kind(X))))=>((creative(mary)<~>~rich(mary))))&
((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((humble(X)&~tall(X))))... | ~funny(mary) | [
"p5",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 105912940817589848313137
% SZS output start Proof for 105912940817589848313137
6. ? [X0] : (~kind(X0) | ~rich(X0)) <=> ? [X0] : (~tall(X0) & humble(X0)) [input p5]
9. ! [X0] : ((curious(X0) & kind(X0)) => funny(X0)) [input p8]
11. ? [X0] : tall(X0) <=> ? [X0] : (~happy(X0) | ~kind(X0)) [i... | 0 |
Everyone who is either funny or not strong is both funny and not humble and vice versa.
If someone is either curious or not quiet then someone is brave or not strong.
If someone is both strong and not brave then someone is either tall or not rich and vice versa.
Everyone who is kind or not quiet is both wise and rich a... | Paul is not old. | neutral | (![X]:((funny(X)<~>~strong(X))<=>(funny(X)&~humble(X))))&
((?[X]:((curious(X)<~>~quiet(X))))=>(?[X]:((brave(X)|~strong(X)))))&
((?[X]:((strong(X)&~brave(X))))<=>(?[X]:((tall(X)<~>~rich(X)))))&
(![X]:((kind(X)|~quiet(X))<=>(wise(X)&rich(X))))&
((?[X]:(~patient(X)))<=>((generous(fred)<~>~calm(fred))))&
(((~creative(john)... | ~old(paul) | [] | null | 0 |
If fred is quiet then someone is not brave or not creative and vice versa.
If someone is either not rich or calm then someone is either not kind or brave.
Everyone who is both old and not curious is both brave and wise and vice versa.
If someone is either not patient or rich then fred is calm.
Everyone who is not wise ... | John is not brave. | contradiction | ((quiet(fred))<=>(?[X]:((~brave(X)|~creative(X)))))&
((?[X]:((~rich(X)<~>calm(X))))=>(?[X]:((~kind(X)<~>brave(X)))))&
(![X]:((old(X)&~curious(X))<=>(brave(X)&wise(X))))&
((?[X]:((~patient(X)<~>rich(X))))=>(calm(fred)))&
(![X]:(~wise(X)<=>(curious(X)&wise(X))))&
(![X]:((generous(X)&curious(X))<=>(~strong(X)|~old(X))))&
... | ~brave(john) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6920026618412175169748724
% SZS output start Proof for 6920026618412175169748724
3. ! [X0] : ((~curious(X0) & old(X0)) <=> (wise(X0) & brave(X0))) [input p2]
5. ! [X0] : (~wise(X0) <=> (wise(X0) & curious(X0))) [input p4]
6. ! [X0] : ((curious(X0) & generous(X0)) <=> (~old(X0) | ~strong(X... | 0 |
Everyone who is both not rich and humble is rich or calm and vice versa. If someone is patient or not creative then someone is either old or funny. If someone is both wise and kind then someone is humble. If john is generous then someone is not generous or strong and vice versa. If lucy is generous or patient then john... | Susan is humble. | contradiction | (![X]:((~rich(X)&humble(X))<=>(rich(X)|calm(X))))&
((?[X]:((patient(X)|~creative(X))))=>(?[X]:((old(X)<~>funny(X)))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:(humble(X))))&
((generous(john))<=>(?[X]:((~generous(X)|strong(X)))))&
(((generous(lucy)|patient(lucy)))=>((old(john)|~humble(john))))&
((?[X]:((~funny(X)&curious(X))... | humble(susan) | [
"p0",
"p8",
"p13",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7384773830568417763524588
% SZS output start Proof for 7384773830568417763524588
1. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (calm(X0) | rich(X0))) [input p0]
9. ! [X0] : (happy(X0) <=> (calm(X0) & creative(X0))) [input p8]
14. ! [X0] : ((wise(X0) | ~creative(X0)) => ~calm(X0)) [input p13]
... | 0 |
If lucy is happy then someone is not brave or not calm and vice versa.
If someone is tall or creative then john is either not calm or not humble and vice versa.
Everyone who is not wise or brave is both quiet and not calm and vice versa.
Everyone who is either wise or not patient is either not wise or wise.
Everyone wh... | Lucy is not calm. | entailment | ((happy(lucy))<=>(?[X]:((~brave(X)|~calm(X)))))&
((?[X]:((tall(X)|creative(X))))<=>((~calm(john)<~>~humble(john))))&
(![X]:((~wise(X)|brave(X))<=>(quiet(X)&~calm(X))))&
(![X]:((wise(X)<~>~patient(X))=>(~wise(X)<~>wise(X))))&
(![X]:((calm(X)<~>~curious(X))<=>(~kind(X)|~creative(X))))&
(![X]:(funny(X)=>(rich(X)<~>~rich(X... | ~calm(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6687286930042314526142099
% SZS output start Proof for 6687286930042314526142099
13. ! [X0] : ((quiet(X0) | calm(X0)) <=> (patient(X0) & ~patient(X0))) [input p12]
25. calm(lucy) [input hypothesis]
73. ! [X0] : (((quiet(X0) | calm(X0)) | (~patient(X0) | patient(X0))) & ((patient(X0) & ~pa... | 0 |
Everyone who is both not happy and patient is humble or not brave.
Everyone who is not strong or generous is both not quiet and not patient and vice versa.
If someone is old then someone is both not calm and not quiet.
If alice is wise then john is not patient.
Everyone who is not calm or not rich is happy and vice ver... | John is not generous. | entailment | (![X]:((~happy(X)&patient(X))=>(humble(X)|~brave(X))))&
(![X]:((~strong(X)|generous(X))<=>(~quiet(X)&~patient(X))))&
((?[X]:(old(X)))=>(?[X]:((~calm(X)&~quiet(X)))))&
((wise(alice))=>(~patient(john)))&
(![X]:((~calm(X)|~rich(X))<=>happy(X)))&
(![X]:(quiet(X)=>~funny(X)))&
(((kind(john)|~patient(john)))<=>(?[X]:((~creat... | ~generous(john) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1849873156616350170197421
% SZS output start Proof for 1849873156616350170197421
2. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (~patient(X0) & ~quiet(X0))) [input p1]
12. ! [X0] : ((~patient(X0) | ~creative(X0)) => (~tall(X0) & patient(X0))) [input p11]
22. generous(john) [input hypothesi... | 0 |
If mary is either funny or not old then someone is humble and vice versa.
Everyone who is both not curious and not happy is wise.
Everyone who is both funny and not quiet is both funny and brave and vice versa.
Everyone who is both happy and patient is not calm.
If someone is either funny or not quiet then fred is not ... | Lucy is not strong. | neutral | (((funny(mary)<~>~old(mary)))<=>(?[X]:(humble(X))))&
(![X]:((~curious(X)&~happy(X))=>wise(X)))&
(![X]:((funny(X)&~quiet(X))<=>(funny(X)&brave(X))))&
(![X]:((happy(X)&patient(X))=>~calm(X)))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~wise(fred)|strong(fred))))&
(![X]:((~wise(X)&~funny(X))<=>(~tall(X)|~rich(X))))&
((?[X]:((wi... | ~strong(lucy) | [] | null | 0 |
Everyone who is not tall or not quiet is both not strong and generous and vice versa.
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... | Mary is curious. | neutral | (![X]:((~tall(X)|~quiet(X))<=>(~strong(X)&generous(X))))&
((?[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) | [] | null | 0 |
If someone is either brave or funny then someone is happy or not quiet and vice versa.
Everyone who is either not humble or tall is both rich and humble and vice versa.
Everyone who is patient or generous is strong and vice versa.
If fred is not quiet or not wise then lucy is calm or brave.
If alice is not strong or ca... | Lucy is calm. | neutral | ((?[X]:((brave(X)<~>funny(X))))<=>(?[X]:((happy(X)|~quiet(X)))))&
(![X]:((~humble(X)<~>tall(X))<=>(rich(X)&humble(X))))&
(![X]:((patient(X)|generous(X))<=>strong(X)))&
(((~quiet(fred)|~wise(fred)))=>((calm(lucy)|brave(lucy))))&
(((~strong(alice)|calm(alice)))=>((wise(mary)<~>patient(mary))))&
((?[X]:((~humble(X)|~wise(... | calm(lucy) | [] | null | 0 |
Everyone who is not generous is not happy and vice versa. Everyone who is not curious is wise. Everyone who is kind is both not generous and not old. Everyone who is either tall or generous is creative and vice versa. If someone is not old then someone is not wise or not curious. If paul is not curious or not tall then... | Paul is funny. | neutral | (![X]:(~generous(X)<=>~happy(X)))&
(![X]:(~curious(X)=>wise(X)))&
(![X]:(kind(X)=>(~generous(X)&~old(X))))&
(![X]:((tall(X)<~>generous(X))<=>creative(X)))&
((?[X]:(~old(X)))=>(?[X]:((~wise(X)|~curious(X)))))&
(((~curious(paul)|~tall(paul)))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((old(X)|~quiet(X))=>(~happy(X)&funny(X... | funny(paul) | [] | null | 0 |
If john is both not humble and humble then mary is both brave and not kind.
If lucy is generous or curious then lucy is not tall.
Everyone who is both generous and not wise is tall.
If fred is humble or not patient then lucy is old and vice versa.
Everyone who is either not rich or not patient is either patient or not ... | Paul is not curious. | neutral | (((~humble(john)&humble(john)))=>((brave(mary)&~kind(mary))))&
(((generous(lucy)|curious(lucy)))=>(~tall(lucy)))&
(![X]:((generous(X)&~wise(X))=>tall(X)))&
(((humble(fred)|~patient(fred)))<=>(old(lucy)))&
(![X]:((~rich(X)<~>~patient(X))<=>(patient(X)<~>~humble(X))))&
(((old(mary)<~>patient(mary)))=>(?[X]:((patient(X)|c... | ~curious(paul) | [] | null | 0 |
If someone is both not happy and not quiet then someone is either not quiet or old.
Everyone who is both rich and not calm is not calm and vice versa.
If someone is either humble or not funny then someone is both rich and curious.
Everyone who is either not quiet or happy is either wise or not calm.
Everyone who is cur... | Lucy is not calm. | entailment | ((?[X]:((~happy(X)&~quiet(X))))=>(?[X]:((~quiet(X)<~>old(X)))))&
(![X]:((rich(X)&~calm(X))<=>~calm(X)))&
((?[X]:((humble(X)<~>~funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~quiet(X)<~>happy(X))=>(wise(X)<~>~calm(X))))&
(![X]:(curious(X)<=>(~patient(X)|~curious(X))))&
((~generous(mary))=>(?[X]:((brave(X)|~brave(... | ~calm(lucy) | [
"p4",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2889812240280354870447775
% SZS output start Proof for 2889812240280354870447775
5. ! [X0] : (curious(X0) <=> (~curious(X0) | ~patient(X0))) [input p4]
8. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~wise(X0) | calm(X0))) [input p7]
11. ! [X0] : ((rich(X0) <~> curious(X0)) => (kind(X0) <~> fu... | 0 |
If someone is either kind or old then john is either brave or calm and vice versa.
Everyone who is not humble is humble.
If lucy is both curious and tall then someone is strong or not patient and vice versa.
Everyone who is happy is both rich and not kind and vice versa.
Everyone who is not strong or not happy is not f... | Mary is strong. | contradiction | ((?[X]:((kind(X)<~>old(X))))<=>((brave(john)<~>calm(john))))&
(![X]:(~humble(X)=>humble(X)))&
(((curious(lucy)&tall(lucy)))<=>(?[X]:((strong(X)|~patient(X)))))&
(![X]:(happy(X)<=>(rich(X)&~kind(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~funny(X)|calm(X))))&
(((rich(fred)|wise(fred)))<=>((~tall(mary)&~calm(mary))))&
(![X]... | strong(mary) | [
"p1",
"p2",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8056752886912922045963517
% SZS output start Proof for 8056752886912922045963517
2. ! [X0] : (~humble(X0) => humble(X0)) [input p1]
3. (tall(lucy) & curious(lucy)) <=> ? [X0] : (~patient(X0) | strong(X0)) [input p2]
14. curious(lucy) => ? [X0] : (kind(X0) & ~quiet(X0)) [input p13]
15. ? [... | 0 |
If someone is either not curious or tall then fred is not patient or kind.
If alice is both not funny and not happy then someone is either rich or not curious and vice versa.
If john is not humble or calm then john is either brave or not rich and vice versa.
Everyone who is both quiet and happy is old or happy and vice... | Mary is not wise. | neutral | ((?[X]:((~curious(X)<~>tall(X))))=>((~patient(fred)|kind(fred))))&
(((~funny(alice)&~happy(alice)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((~humble(john)|calm(john)))<=>((brave(john)<~>~rich(john))))&
(![X]:((quiet(X)&happy(X))<=>(old(X)|happy(X))))&
(((~curious(mary)&rich(mary)))=>(?[X]:((rich(X)&~strong(X)))))&
(![X]... | ~wise(mary) | [] | null | 0 |
Everyone who is not creative or not curious is patient and vice versa. If someone is calm or tall then susan is both old and creative and vice versa. Everyone who is not generous is either creative or not rich and vice versa. Everyone who is not generous is not wise. Everyone who is both not curious and not creative is... | Paul is not rich. | contradiction | (![X]:((~creative(X)|~curious(X))<=>patient(X)))&
((?[X]:((calm(X)|tall(X))))<=>((old(susan)&creative(susan))))&
(![X]:(~generous(X)<=>(creative(X)<~>~rich(X))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~curious(X)&~creative(X))<=>~strong(X)))&
((?[X]:(~tall(X)))=>((~humble(mary)|wise(mary))))&
((curious(alice))<=>(?[... | ~rich(paul) | [
"p7",
"p9",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2667525262866069814969696
% SZS output start Proof for 2667525262866069814969696
8. ! [X0] : (~tall(X0) => (~curious(X0) & ~quiet(X0))) [input p7]
10. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> (generous(X0) & ~curious(X0))) [input p9]
11. ! [X0] : ((rich(X0) <~> ~tall(X0)) <=> (generous(X0... | 0 |
Everyone who is both generous and not happy is not wise or quiet and vice versa.
Everyone who is not tall or not patient is creative or not kind.
If someone is both not quiet and patient then paul is not quiet or not brave and vice versa.
Everyone who is wise is both not funny and curious.
Everyone who is either not wi... | Paul is not tall. | contradiction | (![X]:((generous(X)&~happy(X))<=>(~wise(X)|quiet(X))))&
(![X]:((~tall(X)|~patient(X))=>(creative(X)|~kind(X))))&
((?[X]:((~quiet(X)&patient(X))))<=>((~quiet(paul)|~brave(paul))))&
(![X]:(wise(X)=>(~funny(X)&curious(X))))&
(![X]:((~wise(X)<~>~happy(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~kind(X)|creative(X))=>(funny... | ~tall(paul) | [
"p1",
"p3",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3358105486580295948904632
% SZS output start Proof for 3358105486580295948904632
2. ! [X0] : ((~patient(X0) | ~tall(X0)) => (~kind(X0) | creative(X0))) [input p1]
4. ! [X0] : (wise(X0) => (curious(X0) & ~funny(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~kind(X0)) => (wise(X0) & funny(X... | 0 |
If susan is both generous and old then someone is either not humble or quiet and vice versa. Everyone who is not quiet is both not tall and rich and vice versa. Everyone who is not rich or not kind is either not calm or quiet and vice versa. Everyone who is generous is not happy or humble. Everyone who is kind or not s... | Mary is not tall. | entailment | (((generous(susan)&old(susan)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)&rich(X))))&
(![X]:((~rich(X)|~kind(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(generous(X)=>(~happy(X)|humble(X))))&
(![X]:((kind(X)|~strong(X))<=>(~patient(X)&humble(X))))&
(![X]:(wise(X)=>(curious(X)|generous(X))))&
(![X]:((ri... | ~tall(mary) | [
"p0",
"p1",
"p4",
"p9",
"p11",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6687514158696958961524993
% SZS output start Proof for 6687514158696958961524993
1. (old(susan) & generous(susan)) <=> ? [X0] : (~humble(X0) <~> quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> (rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | kind(X0)) <=> (humble(X0) & ~pa... | 0 |
Everyone who is both not rich and happy is either not generous or not calm. If someone is not happy then alice is both wise and not old. Everyone who is happy is generous. If someone is not wise or not kind then john is calm and vice versa. Everyone who is not tall is both not creative and wise and vice versa. If paul ... | Fred is not brave. | contradiction | (![X]:((~rich(X)&happy(X))=>(~generous(X)<~>~calm(X))))&
((?[X]:(~happy(X)))=>((wise(alice)&~old(alice))))&
(![X]:(happy(X)=>generous(X)))&
((?[X]:((~wise(X)|~kind(X))))<=>(calm(john)))&
(![X]:(~tall(X)<=>(~creative(X)&wise(X))))&
(((old(paul)|~generous(paul)))<=>(?[X]:(old(X))))&
(![X]:((~rich(X)&~curious(X))<=>~brave... | ~brave(fred) | [
"p1",
"p4",
"p6",
"p7",
"p12",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2294993855789688330604798
% SZS output start Proof for 2294993855789688330604798
2. ? [X0] : ~happy(X0) => (~old(alice) & wise(alice)) [input p1]
5. ! [X0] : (~tall(X0) <=> (wise(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> ~brave(X0)) [input p6]
8. ! [X0] ... | 0 |
If someone is calm then someone is either tall or not generous. If someone is either brave or not strong then susan is not humble or not calm and vice versa. Everyone who is not wise is either wise or not funny and vice versa. If john is either not brave or strong then alice is quiet. Everyone who is both not humble an... | Lucy is not quiet. | entailment | ((?[X]:(calm(X)))=>(?[X]:((tall(X)<~>~generous(X)))))&
((?[X]:((brave(X)<~>~strong(X))))<=>((~humble(susan)|~calm(susan))))&
(![X]:(~wise(X)<=>(wise(X)<~>~funny(X))))&
(((~brave(john)<~>strong(john)))=>(quiet(alice)))&
(![X]:((~humble(X)&~funny(X))<=>(~strong(X)<~>old(X))))&
(![X]:(strong(X)<=>(~quiet(X)|~old(X))))&
((... | ~quiet(lucy) | [
"p2",
"p4",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6839986794492629004492156
% SZS output start Proof for 6839986794492629004492156
3. ! [X0] : (~wise(X0) <=> (wise(X0) <~> ~funny(X0))) [input p2]
5. ! [X0] : ((~funny(X0) & ~humble(X0)) <=> (~strong(X0) <~> old(X0))) [input p4]
6. ! [X0] : (strong(X0) <=> (~old(X0) | ~quiet(X0))) [input p... | 0 |
If someone is both patient and generous then someone is either old or patient and vice versa.
Everyone who is not humble is either not wise or not humble and vice versa.
Everyone who is generous or not funny is strong and vice versa.
Everyone who is either not generous or not rich is not calm or patient and vice versa.... | Paul is not generous. | entailment | ((?[X]:((patient(X)&generous(X))))<=>(?[X]:((old(X)<~>patient(X)))))&
(![X]:(~humble(X)<=>(~wise(X)<~>~humble(X))))&
(![X]:((generous(X)|~funny(X))<=>strong(X)))&
(![X]:((~generous(X)<~>~rich(X))<=>(~calm(X)|patient(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~rich(X)<~>humble(X))))&
((?[X]:((~generous(X)&~creative(X))))... | ~generous(paul) | [
"p0",
"p1",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3850900317419423195164952
% SZS output start Proof for 3850900317419423195164952
1. ? [X0] : (generous(X0) & patient(X0)) <=> ? [X0] : (old(X0) <~> patient(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> (~wise(X0) <~> ~humble(X0))) [input p1]
7. ! [X0] : (creative(X0) => ~wise(X0)) [input p... | 0 |
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