premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either curious or not humble is both patient and old and vice versa.
Everyone who is both not calm and not rich is curious.
If alice is either brave or not humble then someone is not calm.
If someone is either happy or tall then susan is not tall.
If paul is both kind and rich then someone is either cur... | Susan is not happy. | contradiction | (![X]:((curious(X)<~>~humble(X))<=>(patient(X)&old(X))))&
(![X]:((~calm(X)&~rich(X))=>curious(X)))&
(((brave(alice)<~>~humble(alice)))=>(?[X]:(~calm(X))))&
((?[X]:((happy(X)<~>tall(X))))=>(~tall(susan)))&
(((kind(paul)&rich(paul)))=>(?[X]:((curious(X)<~>~happy(X)))))&
(![X]:((quiet(X)|~tall(X))<=>~happy(X)))&
(![X]:(~b... | ~happy(susan) | [
"p0",
"p6",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6105440395351403127933126
% SZS output start Proof for 6105440395351403127933126
1. ! [X0] : ((curious(X0) <~> ~humble(X0)) <=> (old(X0) & patient(X0))) [input p0]
7. ! [X0] : (~brave(X0) <=> (creative(X0) & rich(X0))) [input p6]
8. ! [X0] : ((~calm(X0) | kind(X0)) => (creative(X0) & ~hum... | 0 |
If someone is creative or funny then someone is both rich and old.
If someone is funny or humble then someone is not tall and vice versa.
Everyone who is not strong or not wise is brave and vice versa.
Everyone who is both rich and strong is both not generous and not old.
If lucy is either calm or tall then someone is ... | Susan is not generous. | neutral | ((?[X]:((creative(X)|funny(X))))=>(?[X]:((rich(X)&old(X)))))&
((?[X]:((funny(X)|humble(X))))<=>(?[X]:(~tall(X))))&
(![X]:((~strong(X)|~wise(X))<=>brave(X)))&
(![X]:((rich(X)&strong(X))=>(~generous(X)&~old(X))))&
(((calm(lucy)<~>tall(lucy)))<=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:((~kind(X)<~>~patient(X))<=>(humbl... | ~generous(susan) | [] | null | 0 |
If john is wise then someone is both creative and not creative.
Everyone who is both brave and happy is not calm and vice versa.
If alice is either funny or patient then someone is both not strong and creative.
Everyone who is both not patient and patient is rich or funny.
Everyone who is not calm or old is not funny o... | John is not calm. | entailment | ((wise(john))=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((brave(X)&happy(X))<=>~calm(X)))&
(((funny(alice)<~>patient(alice)))=>(?[X]:((~strong(X)&creative(X)))))&
(![X]:((~patient(X)&patient(X))=>(rich(X)|funny(X))))&
(![X]:((~calm(X)|old(X))<=>(~funny(X)|~rich(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(funny(X)&~humbl... | ~calm(john) | [
"p1",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3363189467630882937435644
% SZS output start Proof for 3363189467630882937435644
2. ! [X0] : ((happy(X0) & brave(X0)) <=> ~calm(X0)) [input p1]
7. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (creative(X0) & ~calm(X0))) [input p6]
10. ! [X0] : (happy(X0) => (~calm(X0) & tall(X0))) [input p9]
2... | 0 |
Everyone who is either not old or quiet is both quiet and old and vice versa. If alice is both old and not tall then susan is both generous and not old and vice versa. Everyone who is either quiet or not brave is either not curious or not rich and vice versa. Everyone who is not happy is either not old or not brave. If... | Paul is not strong. | neutral | (![X]:((~old(X)<~>quiet(X))<=>(quiet(X)&old(X))))&
(((old(alice)&~tall(alice)))<=>((generous(susan)&~old(susan))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~curious(X)<~>~rich(X))))&
(![X]:(~happy(X)=>(~old(X)<~>~brave(X))))&
(((generous(paul)&~tall(paul)))<=>((kind(mary)&generous(mary))))&
(![X]:((~kind(X)<~>~calm(X))=>~quie... | ~strong(paul) | [] | null | 0 |
If susan is creative or generous then fred is either patient or humble and vice versa. If john is either curious or not calm then paul is either not generous or not funny. Everyone who is both tall and not funny is either not tall or wise. Everyone who is both not humble and rich is old or strong and vice versa. If som... | Susan is not wise. | neutral | (((creative(susan)|generous(susan)))<=>((patient(fred)<~>humble(fred))))&
(((curious(john)<~>~calm(john)))=>((~generous(paul)<~>~funny(paul))))&
(![X]:((tall(X)&~funny(X))=>(~tall(X)<~>wise(X))))&
(![X]:((~humble(X)&rich(X))<=>(old(X)|strong(X))))&
((?[X]:((~happy(X)<~>~quiet(X))))<=>((~tall(paul)|~funny(paul))))&
(![X... | ~wise(susan) | [] | null | 0 |
If lucy is either tall or patient then someone is not generous or not brave and vice versa. If alice is not creative then paul is both not rich and wise and vice versa. If someone is not creative then someone is both kind and tall and vice versa. Everyone who is wise is either not tall or not curious. If susan is both ... | Fred is wise. | entailment | (((tall(lucy)<~>patient(lucy)))<=>(?[X]:((~generous(X)|~brave(X)))))&
((~creative(alice))<=>((~rich(paul)&wise(paul))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&tall(X)))))&
(![X]:(wise(X)=>(~tall(X)<~>~curious(X))))&
(((~old(susan)&~patient(susan)))<=>(?[X]:((funny(X)|brave(X)))))&
(![X]:((brave(X)&~curious(X))=>(hap... | wise(fred) | [
"p6",
"p12",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5884629143356934479378573
% SZS output start Proof for 5884629143356934479378573
7. ! [X0] : (curious(X0) => (creative(X0) | ~old(X0))) [input p6]
13. ~old(paul) => wise(fred) [input p12]
20. ~creative(paul) [input p19]
24. ~curious(paul) <~> ~creative(paul) [input p23]
25. ~wise(fred) [i... | 0 |
Everyone who is either not rich or tall is wise.
Everyone who is not old is not strong or not creative.
Everyone who is happy or not happy is not brave.
Everyone who is either generous or rich is tall or not tall and vice versa.
If someone is both not wise and rich then lucy is not calm or not kind and vice versa.
Ever... | Lucy is not wise. | neutral | (![X]:((~rich(X)<~>tall(X))=>wise(X)))&
(![X]:(~old(X)=>(~strong(X)|~creative(X))))&
(![X]:((happy(X)|~happy(X))=>~brave(X)))&
(![X]:((generous(X)<~>rich(X))<=>(tall(X)|~tall(X))))&
((?[X]:((~wise(X)&rich(X))))<=>((~calm(lucy)|~kind(lucy))))&
(![X]:((humble(X)&creative(X))<=>~happy(X)))&
((?[X]:((strong(X)|~kind(X))))=... | ~wise(lucy) | [] | null | 0 |
If someone is rich then someone is either strong or not strong. If alice is either not quiet or old then someone is both wise and not calm and vice versa. Everyone who is generous or not tall is either not calm or not humble and vice versa. Everyone who is either not rich or creative is both brave and creative. If alic... | John is not tall. | contradiction | ((?[X]:(rich(X)))=>(?[X]:((strong(X)<~>~strong(X)))))&
(((~quiet(alice)<~>old(alice)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((generous(X)|~tall(X))<=>(~calm(X)<~>~humble(X))))&
(![X]:((~rich(X)<~>creative(X))=>(brave(X)&creative(X))))&
(((~humble(alice)&curious(alice)))<=>(?[X]:((old(X)&strong(X)))))&
((?[X]:((quiet(X... | ~tall(john) | [
"p2",
"p5",
"p6",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5948044362763042630801539
% SZS output start Proof for 5948044362763042630801539
3. ! [X0] : ((~tall(X0) | generous(X0)) <=> (~calm(X0) <~> ~humble(X0))) [input p2]
6. ? [X0] : (~funny(X0) & quiet(X0)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p5]
7. ! [X0] : ((happy(X0) & ~strong(X0)) =>... | 0 |
Everyone who is either creative or wise is not funny. If fred is either not funny or strong then someone is not happy or quiet. Everyone who is quiet is not calm or not kind and vice versa. If someone is either not brave or strong then someone is not old. If someone is not patient or patient then lucy is both wise and ... | Fred is kind. | neutral | (![X]:((creative(X)<~>wise(X))=>~funny(X)))&
(((~funny(fred)<~>strong(fred)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:(quiet(X)<=>(~calm(X)|~kind(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:(~old(X))))&
((?[X]:((~patient(X)|patient(X))))<=>((wise(lucy)&old(lucy))))&
(((~creative(susan)&quiet(susan)))<=>(?[X]:(patien... | kind(fred) | [] | null | 0 |
If lucy is either not generous or not calm then mary is not brave. If someone is strong then mary is either funny or not tall and vice versa. Everyone who is both calm and tall is not happy and vice versa. Everyone who is kind or humble is both tall and not calm. Everyone who is not old is not patient. If susan is tall... | Alice is generous. | contradiction | (((~generous(lucy)<~>~calm(lucy)))=>(~brave(mary)))&
((?[X]:(strong(X)))<=>((funny(mary)<~>~tall(mary))))&
(![X]:((calm(X)&tall(X))<=>~happy(X)))&
(![X]:((kind(X)|humble(X))=>(tall(X)&~calm(X))))&
(![X]:(~old(X)=>~patient(X)))&
((tall(susan))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(((~tall(mary)<~>~brave(mary)))=>(?[X]:(... | generous(alice) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4982666674912971409864917
% SZS output start Proof for 4982666674912971409864917
10. ! [X0] : (generous(X0) => (rich(X0) & ~tall(X0))) [input p9]
13. ! [X0] : ((~funny(X0) <~> funny(X0)) <=> (~generous(X0) <~> ~rich(X0))) [input p12]
25. generous(alice) [input hypothesis]
34. ! [X0] : ((r... | 0 |
Everyone who is either not generous or not calm is either not strong or not wise.
Everyone who is either rich or generous is both kind and not curious.
Everyone who is happy or patient is both not brave and brave and vice versa.
If john is either not wise or not calm then someone is patient or quiet.
If mary is humble ... | Fred is patient. | contradiction | (![X]:((~generous(X)<~>~calm(X))=>(~strong(X)<~>~wise(X))))&
(![X]:((rich(X)<~>generous(X))=>(kind(X)&~curious(X))))&
(![X]:((happy(X)|patient(X))<=>(~brave(X)&brave(X))))&
(((~wise(john)<~>~calm(john)))=>(?[X]:((patient(X)|quiet(X)))))&
((humble(mary))<=>((generous(alice)|happy(alice))))&
(![X]:((wise(X)<~>~old(X))<=>... | patient(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9001713764372372347548615
% SZS output start Proof for 9001713764372372347548615
3. ! [X0] : ((patient(X0) | happy(X0)) <=> (brave(X0) & ~brave(X0))) [input p2]
25. patient(fred) [input hypothesis]
38. ! [X0] : (((patient(X0) | happy(X0)) | (~brave(X0) | brave(X0))) & ((brave(X0) & ~brave... | 0 |
Everyone who is strong or not curious is either happy or not curious and vice versa.
If alice is not generous then lucy is not wise or curious.
Everyone who is both old and not humble is either not generous or old and vice versa.
If mary is either generous or strong then someone is humble or funny and vice versa.
If ma... | John is not humble. | neutral | (![X]:((strong(X)|~curious(X))<=>(happy(X)<~>~curious(X))))&
((~generous(alice))=>((~wise(lucy)|curious(lucy))))&
(![X]:((old(X)&~humble(X))<=>(~generous(X)<~>old(X))))&
(((generous(mary)<~>strong(mary)))<=>(?[X]:((humble(X)|funny(X)))))&
((funny(mary))=>(?[X]:((~strong(X)&~patient(X)))))&
(![X]:(humble(X)<=>(calm(X)&c... | ~humble(john) | [] | null | 0 |
Everyone who is both brave and strong is either not wise or not calm.
Everyone who is not calm is both not calm and kind and vice versa.
If someone is curious or not happy then fred is calm or not generous.
If someone is both not happy and not old then someone is both not creative and not humble.
Everyone who is not ki... | Fred is not creative. | neutral | (![X]:((brave(X)&strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:(~calm(X)<=>(~calm(X)&kind(X))))&
((?[X]:((curious(X)|~happy(X))))=>((calm(fred)|~generous(fred))))&
((?[X]:((~happy(X)&~old(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((~kind(X)|~calm(X))<=>(~patient(X)&wise(X))))&
(![X]:((~humble(X)|funny(X))<=>(creat... | ~creative(fred) | [] | null | 0 |
If someone is not old or not humble then someone is either wise or funny and vice versa.
If someone is both curious and wise then someone is both brave and not happy and vice versa.
If mary is either not happy or not creative then mary is either not patient or not strong.
Everyone who is not kind is either not quiet or... | John is not old. | entailment | ((?[X]:((~old(X)|~humble(X))))<=>(?[X]:((wise(X)<~>funny(X)))))&
((?[X]:((curious(X)&wise(X))))<=>(?[X]:((brave(X)&~happy(X)))))&
(((~happy(mary)<~>~creative(mary)))=>((~patient(mary)<~>~strong(mary))))&
(![X]:(~kind(X)<=>(~quiet(X)<~>old(X))))&
(((~quiet(john)<~>tall(john)))=>(?[X]:(patient(X))))&
(![X]:((~generous(X)... | ~old(john) | [
"p3",
"p5",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7891765954296268768962937
% SZS output start Proof for 7891765954296268768962937
4. ! [X0] : (~kind(X0) <=> (~quiet(X0) <~> old(X0))) [input p3]
6. ! [X0] : ((~calm(X0) | ~generous(X0)) <=> (~quiet(X0) | ~old(X0))) [input p5]
12. ! [X0] : ((quiet(X0) <~> humble(X0)) => (curious(X0) & ~cal... | 0 |
If someone is both not quiet and not funny then john is both not rich and not kind and vice versa.
Everyone who is not brave is not generous or generous and vice versa.
Everyone who is both not brave and funny is patient.
If someone is both generous and happy then someone is old or humble and vice versa.
Everyone who i... | Alice is not old. | entailment | ((?[X]:((~quiet(X)&~funny(X))))<=>((~rich(john)&~kind(john))))&
(![X]:(~brave(X)<=>(~generous(X)|generous(X))))&
(![X]:((~brave(X)&funny(X))=>patient(X)))&
((?[X]:((generous(X)&happy(X))))<=>(?[X]:((old(X)|humble(X)))))&
(![X]:((~wise(X)&tall(X))=>(humble(X)&calm(X))))&
((?[X]:(creative(X)))=>(?[X]:((patient(X)&~rich(X... | ~old(alice) | [
"p1",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 350033147332074913825882
% SZS output start Proof for 350033147332074913825882
2. ! [X0] : (~brave(X0) <=> (generous(X0) | ~generous(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~brave(X0)) => patient(X0)) [input p2]
7. ! [X0] : ((~generous(X0) | ~brave(X0)) <=> funny(X0)) [input p6]
8. ? [... | 0 |
Everyone who is both not quiet and not tall is either patient or funny.
Everyone who is not rich or not brave is either not calm or not creative and vice versa.
If mary is either creative or quiet then john is both tall and calm and vice versa.
If someone is either not tall or wise then someone is funny or patient and ... | John is not strong. | contradiction | (![X]:((~quiet(X)&~tall(X))=>(patient(X)<~>funny(X))))&
(![X]:((~rich(X)|~brave(X))<=>(~calm(X)<~>~creative(X))))&
(((creative(mary)<~>quiet(mary)))<=>((tall(john)&calm(john))))&
((?[X]:((~tall(X)<~>wise(X))))<=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((strong(X)<~>~curious(X))=>~rich(X)))&
(![X]:((~quiet(X)&~brave(X))<... | ~strong(john) | [
"p1",
"p5",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7958515492902463269580118
% SZS output start Proof for 7958515492902463269580118
2. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> (~calm(X0) <~> ~creative(X0))) [input p1]
6. ! [X0] : ((~brave(X0) & ~quiet(X0)) <=> (~tall(X0) <~> ~funny(X0))) [input p5]
8. ! [X0] : ((tall(X0) & calm(X0)) <=> (hu... | 0 |
If someone is happy then lucy is either not calm or not funny. If someone is both creative and not curious then paul is not quiet and vice versa. Everyone who is not calm or old is creative or kind and vice versa. Everyone who is either strong or quiet is not quiet or creative. If susan is funny then fred is both rich ... | Paul is not strong. | neutral | ((?[X]:(happy(X)))=>((~calm(lucy)<~>~funny(lucy))))&
((?[X]:((creative(X)&~curious(X))))<=>(~quiet(paul)))&
(![X]:((~calm(X)|old(X))<=>(creative(X)|kind(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~quiet(X)|creative(X))))&
((funny(susan))=>((rich(fred)&brave(fred))))&
((brave(susan))<=>((~patient(paul)|~strong(paul))))&
(![... | ~strong(paul) | [] | null | 0 |
Everyone who is both quiet and not kind is not humble or curious and vice versa.
If susan is not generous or happy then someone is either creative or not wise.
Everyone who is not calm or curious is either humble or funny and vice versa.
Everyone who is both not tall and brave is both not old and not curious and vice v... | Mary is generous. | entailment | (![X]:((quiet(X)&~kind(X))<=>(~humble(X)|curious(X))))&
(((~generous(susan)|happy(susan)))=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~calm(X)|curious(X))<=>(humble(X)<~>funny(X))))&
(![X]:((~tall(X)&brave(X))<=>(~old(X)&~curious(X))))&
(![X]:(~creative(X)<=>(old(X)&quiet(X))))&
(((happy(susan)<~>~rich(susan)))=>((pa... | generous(mary) | [
"p6",
"p7",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2385371109694366695915330
% SZS output start Proof for 2385371109694366695915330
7. ! [X0] : ((calm(X0) | ~generous(X0)) => (~happy(X0) & ~creative(X0))) [input p6]
8. ! [X0] : ((humble(X0) <~> creative(X0)) <=> (~strong(X0) <~> ~humble(X0))) [input p7]
11. ! [X0] : ((~happy(X0) & humble(... | 0 |
If john is either not curious or not humble then someone is either happy or not creative and vice versa.
Everyone who is either not funny or old is happy or not kind.
If john is both rich and brave then someone is either not strong or happy.
If someone is not old then fred is either calm or not kind and vice versa.
Eve... | Susan is creative. | contradiction | (((~curious(john)<~>~humble(john)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:((~funny(X)<~>old(X))=>(happy(X)|~kind(X))))&
(((rich(john)&brave(john)))=>(?[X]:((~strong(X)<~>happy(X)))))&
((?[X]:(~old(X)))<=>((calm(fred)<~>~kind(fred))))&
(![X]:(~kind(X)=>~wise(X)))&
(![X]:((patient(X)&strong(X))<=>(~happy(X)&genero... | creative(susan) | [
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 373895866341674185217349
% SZS output start Proof for 373895866341674185217349
13. (~creative(susan) & ~calm(susan)) <=> ? [X0] : (~generous(X0) | ~creative(X0)) [input p12]
18. ~generous(lucy) & ~old(lucy) [input p17]
25. creative(susan) [input hypothesis]
55. ((~creative(susan) & ~calm(... | 0 |
Everyone who is wise or not wise is both patient and not generous. Everyone who is not quiet is not tall and vice versa. If lucy is humble then someone is both quiet and not tall and vice versa. Everyone who is both not quiet and strong is both not rich and not generous. Everyone who is creative is either not strong or... | Lucy is not curious. | contradiction | (![X]:((wise(X)|~wise(X))=>(patient(X)&~generous(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((humble(lucy))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~quiet(X)&strong(X))=>(~rich(X)&~generous(X))))&
(![X]:(creative(X)=>(~strong(X)<~>generous(X))))&
(![X]:((~old(X)<~>~quiet(X))=>(creative(X)|~kind(X))))&
(![X]:((kind(X)<~>cur... | ~curious(lucy) | [
"p0",
"p4",
"p8",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3323070450061387812244153
% SZS output start Proof for 3323070450061387812244153
1. ! [X0] : ((~wise(X0) | wise(X0)) => (~generous(X0) & patient(X0))) [input p0]
5. ! [X0] : (creative(X0) => (~strong(X0) <~> generous(X0))) [input p4]
9. ! [X0] : ((~brave(X0) & curious(X0)) <=> ~funny(X0))... | 0 |
If someone is both not strong and strong then someone is both calm and not brave and vice versa.
If mary is either not tall or not funny then mary is both happy and not humble.
Everyone who is calm or not tall is both rich and not old.
If someone is patient or generous then lucy is both generous and not funny.
If paul ... | Lucy is old. | entailment | ((?[X]:((~strong(X)&strong(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
(((~tall(mary)<~>~funny(mary)))=>((happy(mary)&~humble(mary))))&
(![X]:((calm(X)|~tall(X))=>(rich(X)&~old(X))))&
((?[X]:((patient(X)|generous(X))))=>((generous(lucy)&~funny(lucy))))&
(((~calm(paul)&~patient(paul)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(... | old(lucy) | [
"p4",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6533449285750169603998613
% SZS output start Proof for 6533449285750169603998613
5. (~patient(paul) & ~calm(paul)) <=> ? [X0] : (strong(X0) <~> curious(X0)) [input p4]
6. ! [X0] : ((~curious(X0) <~> ~brave(X0)) => (creative(X0) <~> ~happy(X0))) [input p5]
8. ! [X0] : ((~tall(X0) | creativ... | 0 |
If paul is both not humble and quiet then mary is not generous.
Everyone who is both creative and not curious is not kind or not wise and vice versa.
Everyone who is either not curious or patient is either not calm or not happy and vice versa.
If susan is not kind or generous then someone is both not happy and not brav... | Alice is quiet. | entailment | (((~humble(paul)&quiet(paul)))=>(~generous(mary)))&
(![X]:((creative(X)&~curious(X))<=>(~kind(X)|~wise(X))))&
(![X]:((~curious(X)<~>patient(X))<=>(~calm(X)<~>~happy(X))))&
(((~kind(susan)|generous(susan)))<=>(?[X]:((~happy(X)&~brave(X)))))&
(((humble(alice)|~kind(alice)))<=>(?[X]:((~quiet(X)&rich(X)))))&
((?[X]:(~calm(... | quiet(alice) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6600295670952855281849229
% SZS output start Proof for 6600295670952855281849229
24. quiet(alice) & ~strong(alice) [input p23]
25. ~quiet(alice) [input hypothesis]
154. quiet(alice) [cnf transformation 24]
155. ~quiet(alice) [cnf transformation 25]
370. $false [subsumption resolution 155,... | 0 |
Everyone who is either patient or not happy is kind or not humble.
If someone is not wise then fred is either tall or generous.
If fred is either not generous or creative then someone is not quiet and vice versa.
Everyone who is quiet or not strong is both not creative and not rich and vice versa.
If someone is happy o... | Mary is not rich. | entailment | (![X]:((patient(X)<~>~happy(X))=>(kind(X)|~humble(X))))&
((?[X]:(~wise(X)))=>((tall(fred)<~>generous(fred))))&
(((~generous(fred)<~>creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((quiet(X)|~strong(X))<=>(~creative(X)&~rich(X))))&
((?[X]:((happy(X)|~strong(X))))=>((strong(susan)|~generous(susan))))&
((?[X]:(humble(X)))<... | ~rich(mary) | [
"p3",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 285009998941619174631871
% SZS output start Proof for 285009998941619174631871
4. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~rich(X0) & ~creative(X0))) [input p3]
17. patient(mary) <~> quiet(mary) [input p16]
23. ~patient(mary) [input p22]
25. rich(mary) [input hypothesis]
43. ! [X0] : (((... | 0 |
If someone is not generous then lucy is creative and vice versa.
If fred is both not happy and not calm then john is curious or wise and vice versa.
Everyone who is both creative and curious is both happy and tall and vice versa.
Everyone who is either not brave or rich is both not wise and not brave and vice versa.
Ev... | Lucy is curious. | neutral | ((?[X]:(~generous(X)))<=>(creative(lucy)))&
(((~happy(fred)&~calm(fred)))<=>((curious(john)|wise(john))))&
(![X]:((creative(X)&curious(X))<=>(happy(X)&tall(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:(~tall(X)=>(~wise(X)|rich(X))))&
(((~strong(alice)<~>~kind(alice)))<=>((brave(fred)&tall(fred)))... | curious(lucy) | [] | null | 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... | Alice is funny. | contradiction | (((~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... | funny(alice) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2513290216156039010106753
% SZS output start Proof for 2513290216156039010106753
5. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p4]
14. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~tall(X0) | ~generous(X0))) [input p13]
23. funny(alice) [input hypothesis]
38... | 0 |
Everyone who is either not tall or not humble is either brave or not humble and vice versa.
Everyone who is not wise or not quiet is kind.
Everyone who is both not generous and not funny is either wise or humble and vice versa.
If john is both curious and not strong then lucy is calm or strong and vice versa.
Everyone ... | Susan is not curious. | neutral | (![X]:((~tall(X)<~>~humble(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~wise(X)|~quiet(X))=>kind(X)))&
(![X]:((~generous(X)&~funny(X))<=>(wise(X)<~>humble(X))))&
(((curious(john)&~strong(john)))<=>((calm(lucy)|strong(lucy))))&
(![X]:(~calm(X)<=>(~happy(X)&~wise(X))))&
(![X]:((~rich(X)|quiet(X))=>(~rich(X)|old(X))))&
(![X]... | ~curious(susan) | [] | null | 0 |
Everyone who is not funny or not old is generous and vice versa. If fred is either humble or not humble then someone is both quiet and wise. Everyone who is either old or not creative is both funny and not strong and vice versa. Everyone who is either not creative or creative is either happy or not wise. If someone is ... | John is not humble. | neutral | (![X]:((~funny(X)|~old(X))<=>generous(X)))&
(((humble(fred)<~>~humble(fred)))=>(?[X]:((quiet(X)&wise(X)))))&
(![X]:((old(X)<~>~creative(X))<=>(funny(X)&~strong(X))))&
(![X]:((~creative(X)<~>creative(X))=>(happy(X)<~>~wise(X))))&
((?[X]:((happy(X)<~>calm(X))))=>((humble(susan)|~rich(susan))))&
(![X]:(tall(X)<=>(~tall(X)... | ~humble(john) | [] | null | 0 |
If someone is not calm then someone is either not calm or tall. If someone is old or not patient then someone is both not old and humble. Everyone who is not patient or not generous is either not calm or not wise. If susan is generous or not strong then someone is not funny. If someone is either not patient or not curi... | Susan is kind. | neutral | ((?[X]:(~calm(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:((~old(X)&humble(X)))))&
(![X]:((~patient(X)|~generous(X))=>(~calm(X)<~>~wise(X))))&
(((generous(susan)|~strong(susan)))=>(?[X]:(~funny(X))))&
((?[X]:((~patient(X)<~>~curious(X))))<=>(?[X]:((wise(X)&~calm(X)))))&
(((~kind(mary)&~o... | kind(susan) | [] | null | 0 |
If someone is both not humble and not creative then lucy is not old or kind and vice versa. If paul is not patient or not curious then someone is calm or brave and vice versa. If someone is happy or not funny then someone is both not old and not humble. If someone is both brave and not curious then someone is both gene... | Lucy is creative. | entailment | ((?[X]:((~humble(X)&~creative(X))))<=>((~old(lucy)|kind(lucy))))&
(((~patient(paul)|~curious(paul)))<=>(?[X]:((calm(X)|brave(X)))))&
((?[X]:((happy(X)|~funny(X))))=>(?[X]:((~old(X)&~humble(X)))))&
((?[X]:((brave(X)&~curious(X))))=>(?[X]:((generous(X)&~strong(X)))))&
((?[X]:((~kind(X)&~strong(X))))=>((~creative(susan)<~... | creative(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8372646262766538325637205
% SZS output start Proof for 8372646262766538325637205
14. ! [X0] : (~creative(X0) => creative(X0)) [input p13]
25. ~creative(lucy) [input hypothesis]
33. ! [X0] : (creative(X0) | creative(X0)) [ennf transformation 14]
128. creative(X0) | creative(X0) [cnf transf... | 0 |
Everyone who is both not calm and not kind is both quiet and not creative and vice versa.
If someone is either quiet or tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is... | Lucy is patient. | entailment | (![X]:((~calm(X)&~kind(X))<=>(quiet(X)&~creative(X))))&
((?[X]:((quiet(X)<~>tall(X))))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((ri... | patient(lucy) | [
"p4",
"p10",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 441989662527779991489990
% SZS output start Proof for 441989662527779991489990
5. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~curious(lucy)) [input p4]
11. ! [X0] : (happy(X0) => (~old(X0) & funny(X0))) [input p10]
13. ! [X0] : ((~happy(X0) <~> brave(X0)) <=> (funny(X0) | ~o... | 0 |
If susan is not patient then someone is both brave and not patient.
Everyone who is either not strong or not brave is either humble or quiet and vice versa.
Everyone who is either not brave or strong is either not calm or tall and vice versa.
Everyone who is humble is both rich and creative.
If alice is not funny then ... | Alice is not generous. | contradiction | ((~patient(susan))=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:((~strong(X)<~>~brave(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(~calm(X)<~>tall(X))))&
(![X]:(humble(X)=>(rich(X)&creative(X))))&
((~funny(alice))<=>((~kind(lucy)|funny(lucy))))&
(![X]:((~kind(X)<~>~rich(X))=>(calm(X)|~strong(X))))&
((?... | ~generous(alice) | [
"p1",
"p2",
"p7",
"p9",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 433466525577487467054021
% SZS output start Proof for 433466525577487467054021
2. ! [X0] : ((~strong(X0) <~> ~brave(X0)) <=> (humble(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~calm(X0) <~> tall(X0))) [input p2]
8. ! [X0] : (quiet(X0) <=> ~curious(X0)) [i... | 0 |
Everyone who is rich is either not funny or not curious and vice versa.
If someone is both not rich and not tall then someone is both curious and not generous.
If someone is both happy and curious then susan is wise or curious.
Everyone who is happy or curious is either curious or tall and vice versa.
Everyone who is b... | Susan is wise. | neutral | (![X]:(rich(X)<=>(~funny(X)<~>~curious(X))))&
((?[X]:((~rich(X)&~tall(X))))=>(?[X]:((curious(X)&~generous(X)))))&
((?[X]:((happy(X)&curious(X))))=>((wise(susan)|curious(susan))))&
(![X]:((happy(X)|curious(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~calm(X)&old(X))<=>(funny(X)&brave(X))))&
(![X]:((tall(X)<~>~old(X))=>(calm... | wise(susan) | [] | null | 0 |
Everyone who is not rich is generous and vice versa.
Everyone who is happy is not strong or not wise.
Everyone who is not tall or not old is kind and vice versa.
If someone is happy then alice is both not tall and not calm.
Everyone who is happy is both not generous and not patient.
Everyone who is not kind or not stro... | Lucy is not generous. | entailment | (![X]:(~rich(X)<=>generous(X)))&
(![X]:(happy(X)=>(~strong(X)|~wise(X))))&
(![X]:((~tall(X)|~old(X))<=>kind(X)))&
((?[X]:(happy(X)))=>((~tall(alice)&~calm(alice))))&
(![X]:(happy(X)=>(~generous(X)&~patient(X))))&
(![X]:((~kind(X)|~strong(X))=>(calm(X)<~>rich(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&creative(X))))&... | ~generous(lucy) | [
"p0",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7464292587096381554559488
% SZS output start Proof for 7464292587096381554559488
1. ! [X0] : (~rich(X0) <=> generous(X0)) [input p0]
5. ! [X0] : (happy(X0) => (~patient(X0) & ~generous(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (creative(X0) & rich(X0))) [input p6]
10. ? [... | 0 |
If fred is both not funny and not patient then someone is either tall or not generous and vice versa.
If susan is not rich then someone is either not strong or humble and vice versa.
Everyone who is either not brave or not funny is both brave and not tall and vice versa.
Everyone who is either not humble or strong is e... | Fred is funny. | contradiction | (((~funny(fred)&~patient(fred)))<=>(?[X]:((tall(X)<~>~generous(X)))))&
((~rich(susan))<=>(?[X]:((~strong(X)<~>humble(X)))))&
(![X]:((~brave(X)<~>~funny(X))<=>(brave(X)&~tall(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(~old(X)<~>~quiet(X))))&
((?[X]:((humble(X)|rich(X))))<=>(?[X]:((wise(X)<~>old(X)))))&
((~wise(lucy))<=>(... | funny(fred) | [
"p0",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6195838620723941845933971
% SZS output start Proof for 6195838620723941845933971
1. (~patient(fred) & ~funny(fred)) <=> ? [X0] : (tall(X0) <~> ~generous(X0)) [input p0]
11. ! [X0] : ((quiet(X0) | curious(X0)) <=> tall(X0)) [input p10]
20. ? [X0] : (curious(X0) & generous(X0)) [input p19]
... | 0 |
Everyone who is kind or tall is both not rich and kind.
Everyone who is rich is both old and not generous and vice versa.
Everyone who is not old or kind is either patient or not rich.
Everyone who is not strong or not kind is both not strong and quiet and vice versa.
Everyone who is kind is patient.
If lucy is calm or... | John is not happy. | neutral | (![X]:((kind(X)|tall(X))=>(~rich(X)&kind(X))))&
(![X]:(rich(X)<=>(old(X)&~generous(X))))&
(![X]:((~old(X)|kind(X))=>(patient(X)<~>~rich(X))))&
(![X]:((~strong(X)|~kind(X))<=>(~strong(X)&quiet(X))))&
(![X]:(kind(X)=>patient(X)))&
(((calm(lucy)|~happy(lucy)))=>((~strong(alice)|rich(alice))))&
(![X]:((~wise(X)|patient(X))... | ~happy(john) | [] | null | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
If someone is wise then lucy is both creative and happy and vice versa.
Everyone who is either strong or happy is b... | Fred is brave. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
((?[X]:(wise(X)))<=>((creative(lucy)&happy(lucy))))&
(![X]:((strong(X)<~>happy(X))=>(quiet(X)&~quiet(X))))&
((?[X]:(happy(X)))=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((fu... | brave(fred) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5949577621114698316521827
% SZS output start Proof for 5949577621114698316521827
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
11. (~creative(alice) | rich(alice)) <=> (brave(fred) & ~patien... | 0 |
If someone is either not quiet or not calm then someone is not rich.
If paul is strong then someone is either brave or generous and vice versa.
Everyone who is humble is strong or creative.
Everyone who is kind or happy is either not curious or not patient.
Everyone who is either rich or calm is either quiet or curious... | Lucy is rich. | contradiction | ((?[X]:((~quiet(X)<~>~calm(X))))=>(?[X]:(~rich(X))))&
((strong(paul))<=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:(humble(X)=>(strong(X)|creative(X))))&
(![X]:((kind(X)|happy(X))=>(~curious(X)<~>~patient(X))))&
(![X]:((rich(X)<~>calm(X))<=>(quiet(X)<~>curious(X))))&
(![X]:((~old(X)|~creative(X))=>(wise(X)<~>funny(X))))... | rich(lucy) | [
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7065043695292961176352066
% SZS output start Proof for 7065043695292961176352066
6. ! [X0] : ((~creative(X0) | ~old(X0)) => (wise(X0) <~> funny(X0))) [input p5]
13. ! [X0] : ((~rich(X0) & funny(X0)) <=> (~funny(X0) | ~wise(X0))) [input p12]
16. ! [X0] : (~rich(X0) <=> old(X0)) [input p15]... | 0 |
If lucy is quiet then someone is both not tall and not generous.
Everyone who is humble or not funny is both not humble and quiet and vice versa.
Everyone who is either old or not curious is both quiet and not rich.
If mary is either quiet or patient then someone is strong or wise.
Everyone who is humble or curious is ... | Lucy is old. | contradiction | ((quiet(lucy))=>(?[X]:((~tall(X)&~generous(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~humble(X)&quiet(X))))&
(![X]:((old(X)<~>~curious(X))=>(quiet(X)&~rich(X))))&
(((quiet(mary)<~>patient(mary)))=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((humble(X)|curious(X))<=>(strong(X)|~funny(X))))&
(![X]:((old(X)|~brave(X))<=>(funny(X)... | old(lucy) | [
"p1",
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7851883599974136642168454
% SZS output start Proof for 7851883599974136642168454
2. ! [X0] : ((~funny(X0) | humble(X0)) <=> (quiet(X0) & ~humble(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~curious(X0)) => (~rich(X0) & quiet(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | old(X0)) <=> (~kind(X... | 0 |
Everyone who is either happy or not patient is not patient or not rich and vice versa.
If someone is happy then mary is both not kind and not brave and vice versa.
If john is not rich then someone is not humble or not strong.
Everyone who is happy is not strong or not humble and vice versa.
If someone is both not calm ... | Susan is quiet. | neutral | (![X]:((happy(X)<~>~patient(X))<=>(~patient(X)|~rich(X))))&
((?[X]:(happy(X)))<=>((~kind(mary)&~brave(mary))))&
((~rich(john))=>(?[X]:((~humble(X)|~strong(X)))))&
(![X]:(happy(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~calm(X)&~kind(X))))<=>((~brave(susan)&curious(susan))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~gen... | quiet(susan) | [] | null | 0 |
If someone is not curious or not kind then mary is strong and vice versa.
Everyone who is either funny or generous is not strong or not old and vice versa.
If someone is not funny then susan is not wise.
Everyone who is kind or strong is either not strong or humble and vice versa.
If someone is either not patient or hu... | Paul is humble. | entailment | ((?[X]:((~curious(X)|~kind(X))))<=>(strong(mary)))&
(![X]:((funny(X)<~>generous(X))<=>(~strong(X)|~old(X))))&
((?[X]:(~funny(X)))=>(~wise(susan)))&
(![X]:((kind(X)|strong(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:((~patient(X)<~>humble(X))))<=>((humble(lucy)<~>~tall(lucy))))&
(((tall(alice)|~patient(alice)))=>(~brave(jo... | humble(paul) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3320454238010628615186115
% SZS output start Proof for 3320454238010628615186115
4. ! [X0] : ((strong(X0) | kind(X0)) <=> (~strong(X0) <~> humble(X0))) [input p3]
18. strong(paul) & curious(paul) [input p17]
25. ~humble(paul) [input hypothesis]
41. ! [X0] : (((strong(X0) | kind(X0)) | ((~... | 0 |
If alice is either not happy or not patient then someone is not calm and vice versa.
If someone is creative then someone is either not humble or patient.
Everyone who is not brave is calm and vice versa.
If someone is generous then someone is both not creative and not wise and vice versa.
If someone is not generous or ... | Susan is not brave. | entailment | (((~happy(alice)<~>~patient(alice)))<=>(?[X]:(~calm(X))))&
((?[X]:(creative(X)))=>(?[X]:((~humble(X)<~>patient(X)))))&
(![X]:(~brave(X)<=>calm(X)))&
((?[X]:(generous(X)))<=>(?[X]:((~creative(X)&~wise(X)))))&
((?[X]:((~generous(X)|calm(X))))<=>((~happy(susan)&~generous(susan))))&
((~funny(paul))<=>(?[X]:((funny(X)<~>cal... | ~brave(susan) | [
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5914796701005711694366896
% SZS output start Proof for 5914796701005711694366896
3. ! [X0] : (~brave(X0) <=> calm(X0)) [input p2]
9. ! [X0] : ((funny(X0) <~> ~funny(X0)) <=> calm(X0)) [input p8]
24. brave(susan) [input hypothesis]
47. ! [X0] : ((~brave(X0) | ~calm(X0)) & (calm(X0) | brave... | 0 |
Everyone who is humble or not wise is both generous and rich and vice versa. Everyone who is not rich or funny is both not funny and not wise. Everyone who is not rich or tall is happy. Everyone who is patient is both not brave and not quiet. Everyone who is both not rich and not funny is both not kind and not tall. Ev... | Susan is not happy. | neutral | (![X]:((humble(X)|~wise(X))<=>(generous(X)&rich(X))))&
(![X]:((~rich(X)|funny(X))=>(~funny(X)&~wise(X))))&
(![X]:((~rich(X)|tall(X))=>happy(X)))&
(![X]:(patient(X)=>(~brave(X)&~quiet(X))))&
(![X]:((~rich(X)&~funny(X))=>(~kind(X)&~tall(X))))&
(![X]:((curious(X)|patient(X))<=>(creative(X)&generous(X))))&
(![X]:((curious(... | ~happy(susan) | [] | null | 0 |
If someone is both humble and generous then mary is both brave and not quiet and vice versa. Everyone who is not strong is not wise and vice versa. Everyone who is not quiet or not happy is both creative and not funny. If someone is both quiet and not patient then fred is not humble. Everyone who is both creative and t... | Lucy is kind. | entailment | ((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((generous(X)|~quiet(X))=>(~patient(X)&wise(X))))&
... | kind(lucy) | [
"p1",
"p4",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 881358663091548716925678
% SZS output start Proof for 881358663091548716925678
2. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p1]
5. ! [X0] : ((tall(X0) & creative(X0)) <=> (~happy(X0) | ~kind(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p... | 0 |
If someone is either not funny or strong then someone is funny and vice versa. If john is both curious and not tall then someone is both happy and not rich and vice versa. If someone is not quiet or not tall then someone is either not patient or patient. If mary is rich or not rich then lucy is not old or not funny and... | Mary is wise. | neutral | ((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:(funny(X))))&
(((curious(john)&~tall(john)))<=>(?[X]:((happy(X)&~rich(X)))))&
((?[X]:((~quiet(X)|~tall(X))))=>(?[X]:((~patient(X)<~>patient(X)))))&
(((rich(mary)|~rich(mary)))<=>((~old(lucy)|~funny(lucy))))&
(![X]:((~quiet(X)&old(X))=>(patient(X)|rich(X))))&
(![X]:((curious(X)<... | wise(mary) | [] | null | 0 |
Everyone who is not generous or not wise is both not rich and curious.
Everyone who is either tall or brave is both not brave and curious.
Everyone who is both happy and kind is kind.
Everyone who is not patient or wise is not rich.
If john is brave or strong then lucy is both patient and brave and vice versa.
Everyone... | John is quiet. | neutral | (![X]:((~generous(X)|~wise(X))=>(~rich(X)&curious(X))))&
(![X]:((tall(X)<~>brave(X))=>(~brave(X)&curious(X))))&
(![X]:((happy(X)&kind(X))=>kind(X)))&
(![X]:((~patient(X)|wise(X))=>~rich(X)))&
(((brave(john)|strong(john)))<=>((patient(lucy)&brave(lucy))))&
(![X]:((~rich(X)&~brave(X))=>patient(X)))&
(![X]:((rich(X)<~>~ol... | quiet(john) | [] | null | 0 |
If someone is either strong or funny then fred is old or strong.
If someone is both not rich and brave then john is old or not patient.
Everyone who is not wise or not humble is not quiet.
If alice is tall then fred is both rich and not curious and vice versa.
Everyone who is humble or creative is both generous and not... | Lucy is not tall. | neutral | ((?[X]:((strong(X)<~>funny(X))))=>((old(fred)|strong(fred))))&
((?[X]:((~rich(X)&brave(X))))=>((old(john)|~patient(john))))&
(![X]:((~wise(X)|~humble(X))=>~quiet(X)))&
((tall(alice))<=>((rich(fred)&~curious(fred))))&
(![X]:((humble(X)|creative(X))<=>(generous(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~creative(X)<~>rich(X)))... | ~tall(lucy) | [] | null | 0 |
If mary is not wise or creative then someone is not curious or rich.
Everyone who is not wise or calm is both not humble and not patient.
Everyone who is either strong or calm is not kind or patient.
If someone is both old and calm then someone is not funny.
Everyone who is generous is either generous or old and vice v... | Fred is not old. | entailment | (((~wise(mary)|creative(mary)))=>(?[X]:((~curious(X)|rich(X)))))&
(![X]:((~wise(X)|calm(X))=>(~humble(X)&~patient(X))))&
(![X]:((strong(X)<~>calm(X))=>(~kind(X)|patient(X))))&
((?[X]:((old(X)&calm(X))))=>(?[X]:(~funny(X))))&
(![X]:(generous(X)<=>(generous(X)<~>old(X))))&
(![X]:((rich(X)<~>~curious(X))=>generous(X)))&
(... | ~old(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6565242335146431593765840
% SZS output start Proof for 6565242335146431593765840
5. ! [X0] : (generous(X0) <=> (generous(X0) <~> old(X0))) [input p4]
25. old(fred) [input hypothesis]
46. ! [X0] : ((generous(X0) | ((generous(X0) | ~old(X0)) & (old(X0) | ~generous(X0)))) & (((~old(X0) | ~ge... | 0 |
Everyone who is either brave or not brave is happy. If john is not funny or rich then someone is either funny or not humble. If someone is either not generous or wise then someone is both kind and calm. Everyone who is both generous and not creative is strong or not funny and vice versa. Everyone who is both not old an... | Mary is not patient. | neutral | (![X]:((brave(X)<~>~brave(X))=>happy(X)))&
(((~funny(john)|rich(john)))=>(?[X]:((funny(X)<~>~humble(X)))))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((generous(X)&~creative(X))<=>(strong(X)|~funny(X))))&
(![X]:((~old(X)&~patient(X))=>rich(X)))&
(![X]:((~strong(X)&calm(X))<=>~calm(X)))&
((s... | ~patient(mary) | [] | null | 0 |
If someone is both not generous and not curious then susan is humble and vice versa. Everyone who is not wise is both not rich and not brave and vice versa. Everyone who is not creative is not kind or brave and vice versa. If someone is both creative and curious then someone is rich or not strong. If paul is funny then... | Paul is tall. | contradiction | ((?[X]:((~generous(X)&~curious(X))))<=>(humble(susan)))&
(![X]:(~wise(X)<=>(~rich(X)&~brave(X))))&
(![X]:(~creative(X)<=>(~kind(X)|brave(X))))&
((?[X]:((creative(X)&curious(X))))=>(?[X]:((rich(X)|~strong(X)))))&
((funny(paul))=>((patient(fred)<~>~wise(fred))))&
(![X]:((~brave(X)&creative(X))<=>(~humble(X)<~>creative(X)... | tall(paul) | [
"p1",
"p2",
"p6",
"p8",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3868011794955580480981535
% SZS output start Proof for 3868011794955580480981535
2. ! [X0] : (~wise(X0) <=> (~brave(X0) & ~rich(X0))) [input p1]
3. ! [X0] : (~creative(X0) <=> (brave(X0) | ~kind(X0))) [input p2]
7. (old(mary) & ~kind(mary)) <=> ? [X0] : (tall(X0) & ~calm(X0)) [input p6]
9... | 0 |
Everyone who is strong or not wise is not old or not calm.
If someone is strong or happy then susan is not kind.
Everyone who is humble is both generous and not rich.
Everyone who is old or brave is both not brave and brave.
If someone is curious or not generous then lucy is quiet or generous and vice versa.
If alice i... | Alice is not rich. | entailment | (![X]:((strong(X)|~wise(X))=>(~old(X)|~calm(X))))&
((?[X]:((strong(X)|happy(X))))=>(~kind(susan)))&
(![X]:(humble(X)=>(generous(X)&~rich(X))))&
(![X]:((old(X)|brave(X))=>(~brave(X)&brave(X))))&
((?[X]:((curious(X)|~generous(X))))<=>((quiet(lucy)|generous(lucy))))&
(((brave(alice)&~curious(alice)))=>((old(paul)|~funny(p... | ~rich(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8776649858654676334976315
% SZS output start Proof for 8776649858654676334976315
9. ! [X0] : (~rich(X0) <=> (~curious(X0) | curious(X0))) [input p8]
23. rich(alice) [input hypothesis]
47. ! [X0] : ((~rich(X0) | (curious(X0) & ~curious(X0))) & ((~curious(X0) | curious(X0)) | rich(X0))) [nn... | 0 |
If alice is curious then john is brave.
If mary is both strong and not tall then someone is patient.
Everyone who is creative or not humble is either not curious or rich.
Everyone who is happy or rich is not kind.
Everyone who is both not curious and brave is humble or not quiet and vice versa.
If someone is both not s... | Mary is not brave. | contradiction | ((curious(alice))=>(brave(john)))&
(((strong(mary)&~tall(mary)))=>(?[X]:(patient(X))))&
(![X]:((creative(X)|~humble(X))=>(~curious(X)<~>rich(X))))&
(![X]:((happy(X)|rich(X))=>~kind(X)))&
(![X]:((~curious(X)&brave(X))<=>(humble(X)|~quiet(X))))&
((?[X]:((~strong(X)&humble(X))))=>(?[X]:(patient(X))))&
((?[X]:((creative(X)... | ~brave(mary) | [
"p2",
"p4",
"p6",
"p9",
"p10",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3759448613896956866315029
% SZS output start Proof for 3759448613896956866315029
3. ! [X0] : ((~humble(X0) | creative(X0)) => (~curious(X0) <~> rich(X0))) [input p2]
5. ! [X0] : ((brave(X0) & ~curious(X0)) <=> (~quiet(X0) | humble(X0))) [input p4]
7. ? [X0] : (~patient(X0) & creative(X0))... | 0 |
If paul is not kind or tall then someone is not curious or brave and vice versa. Everyone who is creative or not tall is both quiet and old. If someone is both curious and not old then fred is both quiet and not funny and vice versa. Everyone who is either not curious or not wise is quiet or not brave. If alice is eith... | Fred is not humble. | entailment | (((~kind(paul)|tall(paul)))<=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((creative(X)|~tall(X))=>(quiet(X)&old(X))))&
((?[X]:((curious(X)&~old(X))))<=>((quiet(fred)&~funny(fred))))&
(![X]:((~curious(X)<~>~wise(X))=>(quiet(X)|~brave(X))))&
(((tall(alice)<~>quiet(alice)))=>(?[X]:(kind(X))))&
(![X]:(~humble(X)<=>(funny(X)<~... | ~humble(fred) | [
"p1",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6368243334625326253234782
% SZS output start Proof for 6368243334625326253234782
2. ! [X0] : ((~tall(X0) | creative(X0)) => (old(X0) & quiet(X0))) [input p1]
8. ! [X0] : (~wise(X0) <=> (old(X0) | happy(X0))) [input p7]
14. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~kind(X0) & ~quiet(X0))) [in... | 0 |
Everyone who is both not happy and not curious is not tall and vice versa.
Everyone who is old is either humble or not wise.
If someone is not kind then john is both rich and not curious and vice versa.
If someone is calm or not calm then lucy is both creative and not generous and vice versa.
If someone is not generous... | Susan is not kind. | contradiction | (![X]:((~happy(X)&~curious(X))<=>~tall(X)))&
(![X]:(old(X)=>(humble(X)<~>~wise(X))))&
((?[X]:(~kind(X)))<=>((rich(john)&~curious(john))))&
((?[X]:((calm(X)|~calm(X))))<=>((creative(lucy)&~generous(lucy))))&
((?[X]:((~generous(X)|~curious(X))))<=>(~wise(fred)))&
(![X]:((~calm(X)<~>~happy(X))<=>~calm(X)))&
((?[X]:(~curio... | ~kind(susan) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 471425600772945995076571
% SZS output start Proof for 471425600772945995076571
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> ~tall(X0)) [input p0]
3. ? [X0] : ~kind(X0) <=> (~curious(john) & rich(john)) [input p2]
6. ! [X0] : ((~calm(X0) <~> ~happy(X0)) <=> ~calm(X0)) [input p5]
8. ! [X0] ... | 0 |
Everyone who is not humble is both kind and creative.
If someone is both not brave and kind then someone is both not strong and happy.
If lucy is both not patient and not wise then mary is creative.
Everyone who is both not tall and not wise is both quiet and strong.
Everyone who is not rich is either not happy or calm... | Paul is not kind. | contradiction | (![X]:(~humble(X)=>(kind(X)&creative(X))))&
((?[X]:((~brave(X)&kind(X))))=>(?[X]:((~strong(X)&happy(X)))))&
(((~patient(lucy)&~wise(lucy)))=>(creative(mary)))&
(![X]:((~tall(X)&~wise(X))=>(quiet(X)&strong(X))))&
(![X]:(~rich(X)<=>(~happy(X)<~>calm(X))))&
(![X]:((~rich(X)&~wise(X))=>old(X)))&
(((~generous(john)<~>~calm(... | ~kind(paul) | [
"p0",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5912371402985616238854398
% SZS output start Proof for 5912371402985616238854398
1. ! [X0] : (~humble(X0) => (creative(X0) & kind(X0))) [input p0]
11. ! [X0] : ((~kind(X0) & humble(X0)) => (~calm(X0) <~> kind(X0))) [input p10]
12. ! [X0] : ((quiet(X0) <~> calm(X0)) <=> (kind(X0) | ~quiet(... | 0 |
If someone is calm or quiet then someone is not wise or not rich and vice versa. If someone is both not generous and brave then someone is either rich or generous and vice versa. If fred is funny then fred is either not calm or not strong and vice versa. If alice is both brave and not kind then john is both not tall an... | Paul is calm. | contradiction | ((?[X]:((calm(X)|quiet(X))))<=>(?[X]:((~wise(X)|~rich(X)))))&
((?[X]:((~generous(X)&brave(X))))<=>(?[X]:((rich(X)<~>generous(X)))))&
((funny(fred))<=>((~calm(fred)<~>~strong(fred))))&
(((brave(alice)&~kind(alice)))=>((~tall(john)&~strong(john))))&
(![X]:(~funny(X)=>(~rich(X)|curious(X))))&
((?[X]:((generous(X)|calm(X))... | calm(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5497053271812451245445810
% SZS output start Proof for 5497053271812451245445810
22. ~humble(paul) & ~calm(paul) [input p21]
25. calm(paul) [input hypothesis]
30. ~calm(paul) [pure predicate removal 22]
145. ~calm(paul) [cnf transformation 30]
149. calm(paul) [cnf transformation 25]
408. ... | 0 |
If paul is not curious or not wise then someone is both not old and calm.
Everyone who is not kind is both kind and not curious.
Everyone who is either not calm or strong is not generous and vice versa.
Everyone who is either rich or not humble is not funny or patient.
If alice is brave then fred is kind and vice versa... | John is not kind. | contradiction | (((~curious(paul)|~wise(paul)))=>(?[X]:((~old(X)&calm(X)))))&
(![X]:(~kind(X)=>(kind(X)&~curious(X))))&
(![X]:((~calm(X)<~>strong(X))<=>~generous(X)))&
(![X]:((rich(X)<~>~humble(X))=>(~funny(X)|patient(X))))&
((brave(alice))<=>(kind(fred)))&
(((brave(lucy)&patient(lucy)))<=>(?[X]:((calm(X)<~>strong(X)))))&
((rich(susan... | ~kind(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 40769826461014517678266
% SZS output start Proof for 40769826461014517678266
2. ! [X0] : (~kind(X0) => (~curious(X0) & kind(X0))) [input p1]
25. ~kind(john) [input hypothesis]
27. ! [X0] : ((~curious(X0) & kind(X0)) | kind(X0)) [ennf transformation 2]
83. kind(X0) | kind(X0) [cnf transfor... | 0 |
Everyone who is not brave is either brave or not kind. If someone is humble or wise then someone is either tall or brave and vice versa. If fred is not calm then someone is not humble or not funny and vice versa. Everyone who is both not brave and not rich is not old and vice versa. Everyone who is either quiet or stro... | Paul is not old. | neutral | (![X]:(~brave(X)=>(brave(X)<~>~kind(X))))&
((?[X]:((humble(X)|wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
((~calm(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((~brave(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)<~>strong(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~wise(X)<=>(funny(X)&old(X))))&
(![X]:((tall(X)<~>~tall... | ~old(paul) | [] | null | 0 |
Everyone who is not generous is tall or not creative and vice versa.
If someone is either patient or curious then susan is both not brave and humble.
If lucy is rich then alice is not curious and vice versa.
If john is happy or not tall then someone is not quiet.
Everyone who is not curious or curious is either strong ... | Susan is not wise. | entailment | (![X]:(~generous(X)<=>(tall(X)|~creative(X))))&
((?[X]:((patient(X)<~>curious(X))))=>((~brave(susan)&humble(susan))))&
((rich(lucy))<=>(~curious(alice)))&
(((happy(john)|~tall(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~curious(X)|curious(X))<=>(strong(X)<~>~generous(X))))&
(((quiet(mary)<~>tall(mary)))<=>((tall(lucy)|wise(... | ~wise(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 671003071838596364557468
% SZS output start Proof for 671003071838596364557468
11. ? [X0] : (wise(X0) | ~creative(X0)) => ? [X0] : (generous(X0) & ~generous(X0)) [input p10]
25. wise(susan) [input hypothesis]
28. ? [X0] : (wise(X0) | ~creative(X0)) => ? [X1] : (generous(X1) & ~generous(X1... | 0 |
If someone is kind then john is not kind or generous and vice versa. If someone is either quiet or creative then susan is curious and vice versa. Everyone who is brave is both not old and not curious and vice versa. Everyone who is patient or not creative is calm and vice versa. Everyone who is not strong is both humbl... | Paul is humble. | entailment | ((?[X]:(kind(X)))<=>((~kind(john)|generous(john))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(curious(susan)))&
(![X]:(brave(X)<=>(~old(X)&~curious(X))))&
(![X]:((patient(X)|~creative(X))<=>calm(X)))&
(![X]:(~strong(X)<=>(humble(X)&patient(X))))&
(![X]:((~brave(X)&~old(X))=>creative(X)))&
((?[X]:((~humble(X)|funny(X))))<=... | humble(paul) | [
"p3",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4890687117881014358447080
% SZS output start Proof for 4890687117881014358447080
4. ! [X0] : ((~creative(X0) | patient(X0)) <=> calm(X0)) [input p3]
12. ! [X0] : ((calm(X0) | ~brave(X0)) => (humble(X0) | ~patient(X0))) [input p11]
16. ! [X0] : ((~kind(X0) | ~calm(X0)) => (strong(X0) & hum... | 0 |
Everyone who is either not humble or patient is either funny or not quiet and vice versa.
If someone is both happy and not rich then john is kind.
If someone is rich then someone is strong and vice versa.
If fred is either patient or curious then someone is humble and vice versa.
If alice is curious or generous then so... | John is generous. | contradiction | (![X]:((~humble(X)<~>patient(X))<=>(funny(X)<~>~quiet(X))))&
((?[X]:((happy(X)&~rich(X))))=>(kind(john)))&
((?[X]:(rich(X)))<=>(?[X]:(strong(X))))&
(((patient(fred)<~>curious(fred)))<=>(?[X]:(humble(X))))&
(((curious(alice)|generous(alice)))<=>(?[X]:((~rich(X)<~>humble(X)))))&
(![X]:((~kind(X)|~wise(X))=>(~curious(X)|~... | generous(john) | [
"p6",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2804297978307911775761730
% SZS output start Proof for 2804297978307911775761730
7. ! [X0] : (patient(X0) => (~calm(X0) & ~brave(X0))) [input p6]
12. ! [X0] : ((generous(X0) | wise(X0)) => (kind(X0) & funny(X0))) [input p11]
13. ! [X0] : (~kind(X0) <=> (calm(X0) & ~patient(X0))) [input p1... | 0 |
Everyone who is either tall or not calm is not calm or strong.
Everyone who is both patient and brave is either curious or rich and vice versa.
Everyone who is either brave or old is either not happy or not funny and vice versa.
If fred is kind then someone is not generous and vice versa.
If someone is either patient o... | John is wise. | neutral | (![X]:((tall(X)<~>~calm(X))=>(~calm(X)|strong(X))))&
(![X]:((patient(X)&brave(X))<=>(curious(X)<~>rich(X))))&
(![X]:((brave(X)<~>old(X))<=>(~happy(X)<~>~funny(X))))&
((kind(fred))<=>(?[X]:(~generous(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>((~curious(lucy)<~>~quiet(lucy))))&
((~creative(john))<=>((~wise(mary)&old(... | wise(john) | [] | null | 0 |
If someone is both tall and not curious then lucy is humble. If someone is old or wise then someone is both patient and not strong. Everyone who is both not tall and wise is generous. Everyone who is both not brave and not calm is not tall. If alice is rich then someone is either rich or brave and vice versa. Everyone ... | Lucy is not curious. | neutral | ((?[X]:((tall(X)&~curious(X))))=>(humble(lucy)))&
((?[X]:((old(X)|wise(X))))=>(?[X]:((patient(X)&~strong(X)))))&
(![X]:((~tall(X)&wise(X))=>generous(X)))&
(![X]:((~brave(X)&~calm(X))=>~tall(X)))&
((rich(alice))<=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((creative(X)<~>generous(X))<=>(humble(X)<~>old(X))))&
(![X]:((quiet(... | ~curious(lucy) | [] | null | 0 |
If john is either happy or calm then alice is both wise and not funny and vice versa. Everyone who is brave or old is happy and vice versa. If someone is not happy then paul is both not brave and strong and vice versa. Everyone who is both not quiet and not old is both creative and rich and vice versa. If someone is bo... | Paul is funny. | entailment | (((happy(john)<~>calm(john)))<=>((wise(alice)&~funny(alice))))&
(![X]:((brave(X)|old(X))<=>happy(X)))&
((?[X]:(~happy(X)))<=>((~brave(paul)&strong(paul))))&
(![X]:((~quiet(X)&~old(X))<=>(creative(X)&rich(X))))&
((?[X]:((brave(X)&calm(X))))<=>(?[X]:((~quiet(X)&generous(X)))))&
((?[X]:((calm(X)|~calm(X))))=>(?[X]:(patien... | funny(paul) | [
"p1",
"p2",
"p8",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5258916842765208436916909
% SZS output start Proof for 5258916842765208436916909
2. ! [X0] : ((old(X0) | brave(X0)) <=> happy(X0)) [input p1]
3. ? [X0] : ~happy(X0) <=> (strong(paul) & ~brave(paul)) [input p2]
9. ! [X0] : ((~tall(X0) <~> ~patient(X0)) <=> ~old(X0)) [input p8]
11. ! [X0] :... | 0 |
If someone is kind or humble then fred is both not funny and not rich.
Everyone who is either rich or not rich is both old and quiet and vice versa.
Everyone who is tall is not funny or not quiet and vice versa.
If someone is brave or quiet then someone is either calm or wise.
Everyone who is curious is either patient ... | Paul is not brave. | entailment | ((?[X]:((kind(X)|humble(X))))=>((~funny(fred)&~rich(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>(old(X)&quiet(X))))&
(![X]:(tall(X)<=>(~funny(X)|~quiet(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:(curious(X)<=>(patient(X)<~>~humble(X))))&
(((generous(lucy)|~tall(lucy)))=>(?[X]:((~creative(X)<... | ~brave(paul) | [
"p2",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3326315513788433041624066
% SZS output start Proof for 3326315513788433041624066
3. ! [X0] : (tall(X0) <=> (~quiet(X0) | ~funny(X0))) [input p2]
9. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (generous(X0) <~> ~funny(X0))) [input p8]
11. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p10]
14. !... | 0 |
Everyone who is either creative or funny is either not creative or not old and vice versa.
Everyone who is wise or not humble is happy or curious.
If alice is rich then someone is rich or not wise.
Everyone who is creative is not humble.
If fred is not generous or not brave then someone is not patient or not old.
If al... | Alice is not funny. | contradiction | (![X]:((creative(X)<~>funny(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((wise(X)|~humble(X))=>(happy(X)|curious(X))))&
((rich(alice))=>(?[X]:((rich(X)|~wise(X)))))&
(![X]:(creative(X)=>~humble(X)))&
(((~generous(fred)|~brave(fred)))=>(?[X]:((~patient(X)|~old(X)))))&
(((~rich(alice)|~patient(alice)))=>(?[X]:((~happy(X)&wis... | ~funny(alice) | [
"p0",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3713313642886036928849357
% SZS output start Proof for 3713313642886036928849357
1. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p0]
7. ! [X0] : (~wise(X0) => (wise(X0) & happy(X0))) [input p6]
9. ! [X0] : (~funny(X0) => (~calm(X0) & ~patient(X0))) [inpu... | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is both not patient and creative and vice versa.
Everyone who is kind or strong is quiet.
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny ... | Paul is not curious. | entailment | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:((kind(X)|strong(X))=>quiet(X)))&
((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<... | ~curious(paul) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5854961956536304301218193
% SZS output start Proof for 5854961956536304301218193
1. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> (~quiet(X0) <~> ~funny(X0))) [input p0]
3. ! [X0] : ((strong(X0) | kind(X0)) => quiet(X0)) [input p2]
5. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p4]
... | 0 |
If someone is either kind or not strong then someone is happy or not quiet.
If susan is both not generous and strong then mary is not tall and vice versa.
Everyone who is not happy or patient is both curious and not creative.
If john is not strong then lucy is not old or not generous.
Everyone who is happy is either no... | Lucy is not patient. | entailment | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((happy(X)|~quiet(X)))))&
(((~generous(susan)&strong(susan)))<=>(~tall(mary)))&
(![X]:((~happy(X)|patient(X))=>(curious(X)&~creative(X))))&
((~strong(john))=>((~old(lucy)|~generous(lucy))))&
(![X]:(happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((curious(X)|~old(X))=>curious(X)))&
... | ~patient(lucy) | [
"p2",
"p8",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6451620294797235792531028
% SZS output start Proof for 6451620294797235792531028
3. ! [X0] : ((patient(X0) | ~happy(X0)) => (~creative(X0) & curious(X0))) [input p2]
9. ! [X0] : ((kind(X0) | ~tall(X0)) <=> curious(X0)) [input p8]
11. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [inpu... | 0 |
If lucy is either not patient or kind then alice is humble and vice versa. If someone is funny then alice is strong or curious. Everyone who is both not curious and not patient is tall. Everyone who is strong or brave is both not old and not rich and vice versa. Everyone who is patient or quiet is both not tall and tal... | Paul is calm. | neutral | (((~patient(lucy)<~>kind(lucy)))<=>(humble(alice)))&
((?[X]:(funny(X)))=>((strong(alice)|curious(alice))))&
(![X]:((~curious(X)&~patient(X))=>tall(X)))&
(![X]:((strong(X)|brave(X))<=>(~old(X)&~rich(X))))&
(![X]:((patient(X)|quiet(X))<=>(~tall(X)&tall(X))))&
(![X]:(~creative(X)=>(~wise(X)<~>~kind(X))))&
(![X]:(curious(X... | calm(paul) | [] | null | 0 |
Everyone who is not generous is curious and vice versa.
If john is not old then paul is both creative and not brave.
Everyone who is both not quiet and not strong is not generous or humble and vice versa.
Everyone who is not strong or not curious is both not humble and not strong and vice versa.
Everyone who is either ... | Lucy is kind. | neutral | (![X]:(~generous(X)<=>curious(X)))&
((~old(john))=>((creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&~strong(X))<=>(~generous(X)|humble(X))))&
(![X]:((~strong(X)|~curious(X))<=>(~humble(X)&~strong(X))))&
(![X]:((~creative(X)<~>curious(X))<=>curious(X)))&
(![X]:(strong(X)=>(calm(X)|kind(X))))&
((?[X]:(~tall(X)))<=>(?[... | kind(lucy) | [] | null | 0 |
If someone is creative or not happy then someone is calm.
Everyone who is not tall or wise is quiet.
If someone is not brave or wise then susan is strong or old.
Everyone who is not tall is happy or not funny.
Everyone who is either wise or quiet is not brave.
Everyone who is both not humble and generous is brave or no... | Susan is not wise. | entailment | ((?[X]:((creative(X)|~happy(X))))=>(?[X]:(calm(X))))&
(![X]:((~tall(X)|wise(X))=>quiet(X)))&
((?[X]:((~brave(X)|wise(X))))=>((strong(susan)|old(susan))))&
(![X]:(~tall(X)=>(happy(X)|~funny(X))))&
(![X]:((wise(X)<~>quiet(X))=>~brave(X)))&
(![X]:((~humble(X)&generous(X))<=>(brave(X)|~tall(X))))&
(![X]:((~quiet(X)|~genero... | ~wise(susan) | [
"p5",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1574970837180792325120252
% SZS output start Proof for 1574970837180792325120252
6. ! [X0] : ((generous(X0) & ~humble(X0)) <=> (~tall(X0) | brave(X0))) [input p5]
8. brave(mary) <=> ? [X0] : ~old(X0) [input p7]
9. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (~generous(X0) <~> ~brave(X0))) [in... | 0 |
Everyone who is strong is creative or not brave.
Everyone who is both rich and not curious is strong.
Everyone who is either quiet or patient is both not generous and not curious and vice versa.
Everyone who is not curious or not strong is funny.
Everyone who is wise or brave is both not wise and not humble and vice ve... | Alice is not quiet. | entailment | (![X]:(strong(X)=>(creative(X)|~brave(X))))&
(![X]:((rich(X)&~curious(X))=>strong(X)))&
(![X]:((quiet(X)<~>patient(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~curious(X)|~strong(X))=>funny(X)))&
(![X]:((wise(X)|brave(X))<=>(~wise(X)&~humble(X))))&
(![X]:(~generous(X)<=>(~strong(X)|quiet(X))))&
(![X]:((~tall(X)|humble(... | ~quiet(alice) | [
"p2",
"p3",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 595834650251190810859587
% SZS output start Proof for 595834650251190810859587
3. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (~curious(X0) & ~generous(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~curious(X0)) => funny(X0)) [input p3]
13. ! [X0] : ((funny(X0) | patient(X0)) <=> (rich(X0) &... | 0 |
If someone is not wise then someone is either not quiet or not curious and vice versa.
If someone is not generous or kind then someone is funny.
Everyone who is not patient or strong is either happy or old and vice versa.
Everyone who is either not funny or not strong is both not brave and not patient and vice versa.
I... | Mary is curious. | entailment | ((?[X]:(~wise(X)))<=>(?[X]:((~quiet(X)<~>~curious(X)))))&
((?[X]:((~generous(X)|kind(X))))=>(?[X]:(funny(X))))&
(![X]:((~patient(X)|strong(X))<=>(happy(X)<~>old(X))))&
(![X]:((~funny(X)<~>~strong(X))<=>(~brave(X)&~patient(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:(~humble(X))))&
(((strong(alice)<~>creative(alice))... | curious(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8160552250551152013576280
% SZS output start Proof for 8160552250551152013576280
11. ! [X0] : ((~curious(X0) | funny(X0)) <=> (wise(X0) & curious(X0))) [input p10]
24. ~curious(mary) [input hypothesis]
59. ! [X0] : (((~curious(X0) | funny(X0)) | (~wise(X0) | ~curious(X0))) & ((wise(X0) & ... | 0 |
If susan is either not old or quiet then someone is quiet or not funny and vice versa.
Everyone who is not quiet is calm and vice versa.
If fred is either kind or not generous then mary is patient.
Everyone who is not calm is both tall and wise.
Everyone who is old is both creative and funny.
Everyone who is both patie... | Susan is not old. | entailment | (((~old(susan)<~>quiet(susan)))<=>(?[X]:((quiet(X)|~funny(X)))))&
(![X]:(~quiet(X)<=>calm(X)))&
(((kind(fred)<~>~generous(fred)))=>(patient(mary)))&
(![X]:(~calm(X)=>(tall(X)&wise(X))))&
(![X]:(old(X)=>(creative(X)&funny(X))))&
(![X]:((patient(X)&tall(X))<=>~happy(X)))&
(![X]:((~quiet(X)<~>~wise(X))<=>(creative(X)&~cal... | ~old(susan) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7716614321307774253369311
% SZS output start Proof for 7716614321307774253369311
1. (~old(susan) <~> quiet(susan)) <=> ? [X0] : (~funny(X0) | quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> calm(X0)) [input p1]
4. ! [X0] : (~calm(X0) => (wise(X0) & tall(X0))) [input p3]
5. ! [X0] : (old... | 0 |
Everyone who is either not happy or creative is both not strong and humble. If susan is not tall or funny then john is both happy and funny and vice versa. Everyone who is not rich or not funny is both kind and wise and vice versa. If lucy is both not funny and not strong then someone is rich and vice versa. Everyone w... | Lucy is strong. | neutral | (![X]:((~happy(X)<~>creative(X))=>(~strong(X)&humble(X))))&
(((~tall(susan)|funny(susan)))<=>((happy(john)&funny(john))))&
(![X]:((~rich(X)|~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((patient(X)|~strong(X))=>(~quiet(X)<~>~rich(X))))&
(![X]:(creative(X)<=>(tall(X)<~>~ge... | strong(lucy) | [] | null | 0 |
If lucy is either not calm or generous then fred is both curious and not old and vice versa.
Everyone who is either kind or not wise is not happy or calm.
Everyone who is both not curious and not funny is not wise or not tall and vice versa.
Everyone who is both not strong and not curious is both not wise and brave.
Ev... | Lucy is tall. | entailment | (((~calm(lucy)<~>generous(lucy)))<=>((curious(fred)&~old(fred))))&
(![X]:((kind(X)<~>~wise(X))=>(~happy(X)|calm(X))))&
(![X]:((~curious(X)&~funny(X))<=>(~wise(X)|~tall(X))))&
(![X]:((~strong(X)&~curious(X))=>(~wise(X)&brave(X))))&
(![X]:((creative(X)<~>kind(X))=>(~curious(X)&~kind(X))))&
((?[X]:((wise(X)&~creative(X)))... | tall(lucy) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 112346728292155283563521
% SZS output start Proof for 112346728292155283563521
3. ! [X0] : ((~funny(X0) & ~curious(X0)) <=> (~tall(X0) | ~wise(X0))) [input p2]
11. ! [X0] : ((~tall(X0) | ~patient(X0)) => curious(X0)) [input p10]
24. ~tall(lucy) [input hypothesis]
37. ! [X0] : (curious(X0)... | 0 |
Everyone who is funny or tall is either creative or kind.
Everyone who is patient or generous is brave or not rich.
If someone is tall or not wise then mary is not rich or not wise and vice versa.
Everyone who is not brave or humble is old and vice versa.
If someone is either quiet or funny then someone is not strong o... | Lucy is strong. | neutral | (![X]:((funny(X)|tall(X))=>(creative(X)<~>kind(X))))&
(![X]:((patient(X)|generous(X))=>(brave(X)|~rich(X))))&
((?[X]:((tall(X)|~wise(X))))<=>((~rich(mary)|~wise(mary))))&
(![X]:((~brave(X)|humble(X))<=>old(X)))&
((?[X]:((quiet(X)<~>funny(X))))=>(?[X]:((~strong(X)|generous(X)))))&
((?[X]:((brave(X)<~>curious(X))))<=>((o... | strong(lucy) | [] | null | 0 |
If lucy is old or not generous then lucy is not brave or not happy.
If someone is both not strong and not quiet then mary is not happy or not calm and vice versa.
Everyone who is either creative or not calm is not curious or not patient.
If alice is both not curious and not kind then someone is both not wise and not br... | Lucy is quiet. | neutral | (((old(lucy)|~generous(lucy)))=>((~brave(lucy)|~happy(lucy))))&
((?[X]:((~strong(X)&~quiet(X))))<=>((~happy(mary)|~calm(mary))))&
(![X]:((creative(X)<~>~calm(X))=>(~curious(X)|~patient(X))))&
(((~curious(alice)&~kind(alice)))=>(?[X]:((~wise(X)&~brave(X)))))&
(![X]:(calm(X)<=>(quiet(X)|strong(X))))&
(![X]:((humble(X)&~w... | quiet(lucy) | [] | null | 0 |
If someone is quiet then john is not rich or not wise.
If someone is either happy or not old then paul is both calm and not humble.
Everyone who is strong or not patient is brave and vice versa.
Everyone who is both rich and creative is old and vice versa.
Everyone who is patient or brave is either kind or not humble.
... | Lucy is tall. | contradiction | ((?[X]:(quiet(X)))=>((~rich(john)|~wise(john))))&
((?[X]:((happy(X)<~>~old(X))))=>((calm(paul)&~humble(paul))))&
(![X]:((strong(X)|~patient(X))<=>brave(X)))&
(![X]:((rich(X)&creative(X))<=>old(X)))&
(![X]:((patient(X)|brave(X))=>(kind(X)<~>~humble(X))))&
(((~patient(paul)|humble(paul)))<=>((calm(john)<~>funny(john))))&... | tall(lucy) | [
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6703994925010245268830844
% SZS output start Proof for 6703994925010245268830844
12. ! [X0] : ((~calm(X0) | tall(X0)) => ~curious(X0)) [input p11]
14. ! [X0] : (~curious(X0) => (patient(X0) & ~patient(X0))) [input p13]
24. tall(lucy) [input hypothesis]
36. ! [X0] : (~curious(X0) | (calm(X... | 0 |
Everyone who is both not patient and humble is both happy and tall and vice versa.
Everyone who is calm is either not wise or happy and vice versa.
Everyone who is kind or not calm is not generous and vice versa.
If someone is not happy then paul is creative or not creative.
If someone is creative or not curious then s... | Paul is humble. | contradiction | (![X]:((~patient(X)&humble(X))<=>(happy(X)&tall(X))))&
(![X]:(calm(X)<=>(~wise(X)<~>happy(X))))&
(![X]:((kind(X)|~calm(X))<=>~generous(X)))&
((?[X]:(~happy(X)))=>((creative(paul)|~creative(paul))))&
((?[X]:((creative(X)|~curious(X))))=>(?[X]:((humble(X)&strong(X)))))&
(![X]:((kind(X)&~generous(X))=>creative(X)))&
((?[X... | humble(paul) | [
"p4",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5330590339811515584996206
% SZS output start Proof for 5330590339811515584996206
5. ? [X0] : (~curious(X0) | creative(X0)) => ? [X0] : (strong(X0) & humble(X0)) [input p4]
15. ! [X0] : ((~old(X0) | ~calm(X0)) => ~happy(X0)) [input p14]
16. ? [X0] : (old(X0) | humble(X0)) <=> ? [X0] : (~ca... | 0 |
Everyone who is not funny is patient or not kind. If someone is not generous then fred is rich. If someone is both not patient and tall then mary is both not humble and not generous. Everyone who is not calm or rich is both funny and not quiet and vice versa. Everyone who is funny is not quiet and vice versa. If someon... | Alice is not brave. | entailment | (![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(![X]:((~calm(X)|rich(X))<=>(funny(X)&~quiet(X))))&
(![X]:(funny(X)<=>~quiet(X)))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:((~creative(X)&creative(X))<... | ~brave(alice) | [
"p4",
"p5",
"p6",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1398075009026464193757805
% SZS output start Proof for 1398075009026464193757805
5. ! [X0] : (funny(X0) <=> ~quiet(X0)) [input p4]
6. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : ~old(X0) [input p5]
7. ! [X0] : ((creative(X0) & ~creative(X0)) <=> tall(X0)) [input p6]
11. ! [X0] : ((~old... | 0 |
If someone is happy then mary is strong or not calm.
Everyone who is either not tall or not patient is both not brave and not quiet.
If mary is tall then someone is not tall or not brave and vice versa.
If someone is both calm and not old then paul is strong and vice versa.
Everyone who is both calm and not old is not ... | Lucy is not quiet. | contradiction | ((?[X]:(happy(X)))=>((strong(mary)|~calm(mary))))&
(![X]:((~tall(X)<~>~patient(X))=>(~brave(X)&~quiet(X))))&
((tall(mary))<=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((calm(X)&~old(X))))<=>(strong(paul)))&
(![X]:((calm(X)&~old(X))=>~curious(X)))&
((?[X]:(wise(X)))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((generous(X)|ric... | ~quiet(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3105193050245764542745928
% SZS output start Proof for 3105193050245764542745928
11. ? [X0] : ~quiet(X0) <=> (~rich(alice) & rich(alice)) [input p10]
25. ~quiet(lucy) [input hypothesis]
61. (? [X0] : ~quiet(X0) | (rich(alice) | ~rich(alice))) & ((~rich(alice) & rich(alice)) | ! [X0] : qui... | 0 |
Everyone who is either not curious or funny is both old and not creative.
Everyone who is old or humble is both old and patient.
Everyone who is both not old and not strong is both calm and tall.
Everyone who is either not wise or happy is either quiet or not curious.
Everyone who is both tall and calm is not calm and ... | Mary is not strong. | neutral | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>(old(X)&patient(X))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((tall(X)&calm(X))<=>~calm(X)))&
((?[X]:((funny(X)<~>tall(X))))=>((happy(alice)<~>kind(alice))))&
... | ~strong(mary) | [] | null | 0 |
If alice is either not quiet or not creative then someone is both not tall and strong. Everyone who is both not kind and not creative is either not patient or not funny and vice versa. Everyone who is either not happy or generous is both not quiet and brave. If paul is both not creative and quiet then john is strong or... | Paul is not rich. | contradiction | (((~quiet(alice)<~>~creative(alice)))=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~kind(X)&~creative(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((~happy(X)<~>generous(X))=>(~quiet(X)&brave(X))))&
(((~creative(paul)&quiet(paul)))<=>((strong(john)|rich(john))))&
((quiet(susan))=>(~rich(alice)))&
(![X]:((rich(X)&~brave(X))=>(~... | ~rich(paul) | [
"p1",
"p6",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4601243080169418879964658
% SZS output start Proof for 4601243080169418879964658
2. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (~patient(X0) <~> ~funny(X0))) [input p1]
7. ! [X0] : (kind(X0) <=> (brave(X0) <~> ~brave(X0))) [input p6]
14. ! [X0] : ((patient(X0) | rich(X0)) <=> (~rich(X0) | ... | 0 |
If john is happy or old then someone is creative. Everyone who is rich is not kind or not generous. If mary is kind then someone is not generous or generous and vice versa. Everyone who is quiet or not humble is both creative and strong and vice versa. Everyone who is either not creative or strong is not quiet. Everyon... | Alice is not rich. | entailment | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
(![X]:(rich(X)=>(~kind(X)|~generous(X))))&
((kind(mary))<=>(?[X]:((~generous(X)|generous(X)))))&
(![X]:((quiet(X)|~humble(X))<=>(creative(X)&strong(X))))&
(![X]:((~creative(X)<~>strong(X))=>~quiet(X)))&
(![X]:((~old(X)|tall(X))<=>(kind(X)|~wise(X))))&
(![X]:((creative(... | ~rich(alice) | [
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 523247498823439030912063
% SZS output start Proof for 523247498823439030912063
4. ! [X0] : ((~humble(X0) | quiet(X0)) <=> (strong(X0) & creative(X0))) [input p3]
5. ! [X0] : ((~creative(X0) <~> strong(X0)) => ~quiet(X0)) [input p4]
11. (~patient(alice) | rich(alice)) <=> ? [X0] : (quiet(X... | 0 |
If susan is not wise or not quiet then mary is funny and vice versa.
Everyone who is not patient is not tall or not strong and vice versa.
If someone is both strong and creative then someone is both calm and not humble and vice versa.
If someone is either not creative or patient then someone is quiet or calm.
Everyone ... | Alice is not brave. | contradiction | (((~wise(susan)|~quiet(susan)))<=>(funny(mary)))&
(![X]:(~patient(X)<=>(~tall(X)|~strong(X))))&
((?[X]:((strong(X)&creative(X))))<=>(?[X]:((calm(X)&~humble(X)))))&
((?[X]:((~creative(X)<~>patient(X))))=>(?[X]:((quiet(X)|calm(X)))))&
(![X]:((calm(X)&~tall(X))=>strong(X)))&
(![X]:(funny(X)=>(quiet(X)<~>happy(X))))&
(![X]... | ~brave(alice) | [
"p11",
"p13",
"p15",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5273811276019938278252576
% SZS output start Proof for 5273811276019938278252576
12. ! [X0] : ((~kind(X0) | patient(X0)) => old(X0)) [input p11]
14. ! [X0] : ((~humble(X0) & ~old(X0)) <=> (~curious(X0) <~> ~brave(X0))) [input p13]
16. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> (~generous(X0) <... | 0 |
Everyone who is not funny or calm is funny.
Everyone who is not happy or happy is both not tall and creative.
Everyone who is either rich or not wise is calm or rich and vice versa.
Everyone who is both not brave and not wise is both calm and not wise.
If someone is humble then someone is both calm and patient.
If paul... | Susan is not kind. | neutral | (![X]:((~funny(X)|calm(X))=>funny(X)))&
(![X]:((~happy(X)|happy(X))=>(~tall(X)&creative(X))))&
(![X]:((rich(X)<~>~wise(X))<=>(calm(X)|rich(X))))&
(![X]:((~brave(X)&~wise(X))=>(calm(X)&~wise(X))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&patient(X)))))&
(((~patient(paul)&~wise(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((calm(X)&... | ~kind(susan) | [] | null | 0 |
Everyone who is not quiet or strong is both happy and rich. Everyone who is funny is not old or not humble and vice versa. If mary is old or not creative then alice is strong or calm. If someone is humble or not calm then someone is humble and vice versa. If someone is either calm or wise then lucy is wise or humble an... | Mary is creative. | neutral | (![X]:((~quiet(X)|strong(X))=>(happy(X)&rich(X))))&
(![X]:(funny(X)<=>(~old(X)|~humble(X))))&
(((old(mary)|~creative(mary)))=>((strong(alice)|calm(alice))))&
((?[X]:((humble(X)|~calm(X))))<=>(?[X]:(humble(X))))&
((?[X]:((calm(X)<~>wise(X))))<=>((wise(lucy)|humble(lucy))))&
((~kind(john))<=>(?[X]:((happy(X)&~tall(X)))))... | creative(mary) | [] | null | 0 |
Everyone who is either tall or kind is both curious and calm.
If someone is not old or not generous then alice is either not old or not calm.
If mary is both not quiet and tall then paul is either not happy or quiet.
Everyone who is either strong or not tall is not funny.
If someone is both not tall and happy then alic... | Paul is tall. | contradiction | (![X]:((tall(X)<~>kind(X))=>(curious(X)&calm(X))))&
((?[X]:((~old(X)|~generous(X))))=>((~old(alice)<~>~calm(alice))))&
(((~quiet(mary)&tall(mary)))=>((~happy(paul)<~>quiet(paul))))&
(![X]:((strong(X)<~>~tall(X))=>~funny(X)))&
((?[X]:((~tall(X)&happy(X))))=>((funny(alice)&happy(alice))))&
(![X]:((generous(X)<~>old(X))<=... | tall(paul) | [
"p11",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3955953605812393876868395
% SZS output start Proof for 3955953605812393876868395
12. ? [X0] : (kind(X0) & ~calm(X0)) <=> ~tall(paul) [input p11]
19. ~calm(lucy) & generous(lucy) [input p18]
22. kind(lucy) & ~calm(lucy) [input p21]
25. tall(paul) [input hypothesis]
54. (? [X0] : (kind(X0) ... | 0 |
Everyone who is tall or quiet is both not generous and creative and vice versa.
Everyone who is both not rich and not wise is not calm.
If paul is both not kind and rich then fred is not old or kind and vice versa.
If john is either tall or not happy then susan is generous and vice versa.
Everyone who is not tall is st... | Mary is wise. | contradiction | (![X]:((tall(X)|quiet(X))<=>(~generous(X)&creative(X))))&
(![X]:((~rich(X)&~wise(X))=>~calm(X)))&
(((~kind(paul)&rich(paul)))<=>((~old(fred)|kind(fred))))&
(((tall(john)<~>~happy(john)))<=>(generous(susan)))&
(![X]:(~tall(X)<=>strong(X)))&
(((kind(john)<~>~creative(john)))=>((~humble(paul)<~>old(paul))))&
(![X]:((creat... | wise(mary) | [
"p0",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8596218881898934965844355
% SZS output start Proof for 8596218881898934965844355
1. ! [X0] : ((quiet(X0) | tall(X0)) <=> (creative(X0) & ~generous(X0))) [input p0]
10. ! [X0] : ((~quiet(X0) | creative(X0)) => (~wise(X0) <~> ~tall(X0))) [input p9]
24. tall(mary) [input p23]
25. wise(mary) ... | 0 |
Everyone who is strong or funny is both strong and kind.
Everyone who is not rich or not brave is either patient or not kind.
If someone is not wise or not tall then someone is not wise or rich.
If john is both not quiet and not kind then someone is either not quiet or humble.
If someone is happy then someone is both n... | John is not wise. | contradiction | (![X]:((strong(X)|funny(X))=>(strong(X)&kind(X))))&
(![X]:((~rich(X)|~brave(X))=>(patient(X)<~>~kind(X))))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((~wise(X)|rich(X)))))&
(((~quiet(john)&~kind(john)))=>(?[X]:((~quiet(X)<~>humble(X)))))&
((?[X]:(happy(X)))=>(?[X]:((~tall(X)&curious(X)))))&
(((~strong(alice)&old(alice)))<=... | ~wise(john) | [
"p5",
"p6",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5485836111584088732250553
% SZS output start Proof for 5485836111584088732250553
6. (old(alice) & ~strong(alice)) <=> ? [X0] : (humble(X0) | rich(X0)) [input p5]
7. ! [X0] : ((rich(X0) | kind(X0)) => (kind(X0) & ~old(X0))) [input p6]
12. ! [X0] : ((~kind(X0) <~> ~old(X0)) => (~quiet(X0) &... | 0 |
If john is either wise or not funny then mary is not creative and vice versa.
Everyone who is either calm or not rich is not old.
If someone is both not funny and not patient then someone is not kind or tall.
If someone is either funny or wise then someone is either not kind or not strong.
Everyone who is curious is no... | Lucy is rich. | entailment | (((wise(john)<~>~funny(john)))<=>(~creative(mary)))&
(![X]:((calm(X)<~>~rich(X))=>~old(X)))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:((~kind(X)|tall(X)))))&
((?[X]:((funny(X)<~>wise(X))))=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:(curious(X)<=>(~funny(X)|tall(X))))&
(![X]:((curious(X)|~calm(X))=>(wise(X)&creative(X)))... | rich(lucy) | [
"p4",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6871541692159170847206821
% SZS output start Proof for 6871541692159170847206821
5. ! [X0] : (curious(X0) <=> (tall(X0) | ~funny(X0))) [input p4]
6. ! [X0] : ((~calm(X0) | curious(X0)) => (creative(X0) & wise(X0))) [input p5]
9. ! [X0] : ((funny(X0) | ~generous(X0)) <=> (~tall(X0) & curio... | 0 |
If someone is either rich or calm then susan is brave or patient. Everyone who is not old or patient is both not generous and old and vice versa. Everyone who is not quiet or not wise is both not kind and quiet and vice versa. Everyone who is either rich or happy is not strong and vice versa. If mary is wise or creativ... | Susan is not strong. | entailment | ((?[X]:((rich(X)<~>calm(X))))=>((brave(susan)|patient(susan))))&
(![X]:((~old(X)|patient(X))<=>(~generous(X)&old(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(~kind(X)&quiet(X))))&
(![X]:((rich(X)<~>happy(X))<=>~strong(X)))&
(((wise(mary)|creative(mary)))<=>((curious(fred)&~curious(fred))))&
(![X]:((~happy(X)|kind(X))<=>(~crea... | ~strong(susan) | [
"p1",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1119238790651437000960730
% SZS output start Proof for 1119238790651437000960730
2. ! [X0] : ((patient(X0) | ~old(X0)) <=> (old(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((rich(X0) <~> happy(X0)) <=> ~strong(X0)) [input p3]
7. ? [X0] : (happy(X0) | ~rich(X0)) <=> (patient(john) & ~old(... | 0 |
Everyone who is not curious or not quiet is both not generous and kind.
Everyone who is either not funny or not wise is rich.
Everyone who is patient is either happy or not funny and vice versa.
If susan is not happy or not creative then someone is either calm or kind.
If susan is patient or curious then alice is not f... | Lucy is not curious. | neutral | (![X]:((~curious(X)|~quiet(X))=>(~generous(X)&kind(X))))&
(![X]:((~funny(X)<~>~wise(X))=>rich(X)))&
(![X]:(patient(X)<=>(happy(X)<~>~funny(X))))&
(((~happy(susan)|~creative(susan)))=>(?[X]:((calm(X)<~>kind(X)))))&
(((patient(susan)|curious(susan)))=>((~funny(alice)|~humble(alice))))&
((?[X]:((~rich(X)<~>~wise(X))))<=>(... | ~curious(lucy) | [] | null | 0 |
If someone is curious then someone is not quiet or quiet and vice versa.
Everyone who is either patient or not rich is wise or not curious and vice versa.
If mary is either not kind or kind then someone is humble or calm and vice versa.
Everyone who is both not quiet and not generous is not funny or creative and vice v... | John is patient. | contradiction | ((?[X]:(curious(X)))<=>(?[X]:((~quiet(X)|quiet(X)))))&
(![X]:((patient(X)<~>~rich(X))<=>(wise(X)|~curious(X))))&
(((~kind(mary)<~>kind(mary)))<=>(?[X]:((humble(X)|calm(X)))))&
(![X]:((~quiet(X)&~generous(X))<=>(~funny(X)|creative(X))))&
((?[X]:(~patient(X)))=>((tall(lucy)|kind(lucy))))&
(![X]:((~creative(X)|~kind(X))=>... | patient(john) | [
"p1",
"p3",
"p5",
"p7",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7470743388714383579429512
% SZS output start Proof for 7470743388714383579429512
2. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> (~curious(X0) | wise(X0))) [input p1]
4. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~funny(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | ~creative(X0)... | 0 |
Everyone who is creative is both not old and generous.
If susan is either wise or calm then alice is rich and vice versa.
If someone is creative then someone is both not curious and not old and vice versa.
If fred is either not rich or happy then alice is not wise or brave.
If someone is not kind or generous then someo... | Susan is not curious. | contradiction | (![X]:(creative(X)=>(~old(X)&generous(X))))&
(((wise(susan)<~>calm(susan)))<=>(rich(alice)))&
((?[X]:(creative(X)))<=>(?[X]:((~curious(X)&~old(X)))))&
(((~rich(fred)<~>happy(fred)))=>((~wise(alice)|brave(alice))))&
((?[X]:((~kind(X)|generous(X))))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((generous(X)&creative(X))<=>humb... | ~curious(susan) | [
"p0",
"p2",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1504751529990160406794254
% SZS output start Proof for 1504751529990160406794254
1. ! [X0] : (creative(X0) => (generous(X0) & ~old(X0))) [input p0]
3. ? [X0] : creative(X0) <=> ? [X0] : (~old(X0) & ~curious(X0)) [input p2]
5. ? [X0] : (generous(X0) | ~kind(X0)) => ? [X0] : (~brave(X0) & b... | 0 |
If someone is patient or not patient then someone is both quiet and wise.
If someone is either creative or not creative then alice is not patient and vice versa.
If someone is creative or brave then lucy is either not rich or patient.
Everyone who is not humble is both wise and patient.
If susan is not calm then someon... | Susan is patient. | contradiction | ((?[X]:((patient(X)|~patient(X))))=>(?[X]:((quiet(X)&wise(X)))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(~patient(alice)))&
((?[X]:((creative(X)|brave(X))))=>((~rich(lucy)<~>patient(lucy))))&
(![X]:(~humble(X)=>(wise(X)&patient(X))))&
((~calm(susan))<=>(?[X]:(~quiet(X))))&
(![X]:(~curious(X)<=>(~funny(X)|generous(X)... | patient(susan) | [
"p4",
"p5",
"p8",
"p14",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6110002878327974129221398
% SZS output start Proof for 6110002878327974129221398
5. ~calm(susan) <=> ? [X0] : ~quiet(X0) [input p4]
6. ! [X0] : (~curious(X0) <=> (generous(X0) | ~funny(X0))) [input p5]
9. ? [X0] : (calm(X0) | ~generous(X0)) => ? [X0] : (~quiet(X0) & creative(X0)) [input p... | 0 |
Everyone who is wise is either happy or not patient. Everyone who is not old is either patient or not kind and vice versa. If paul is not funny or strong then someone is rich or not strong. Everyone who is patient is not rich and vice versa. If someone is both not old and not rich then someone is both not old and not s... | John is not happy. | contradiction | (![X]:(wise(X)=>(happy(X)<~>~patient(X))))&
(![X]:(~old(X)<=>(patient(X)<~>~kind(X))))&
(((~funny(paul)|strong(paul)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(patient(X)<=>~rich(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:((~old(X)&~strong(X)))))&
((strong(lucy))=>((tall(lucy)<~>calm(lucy))))&
(((~patient(john)<~>~curio... | ~happy(john) | [
"p0",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 988444802000157704658910
% SZS output start Proof for 988444802000157704658910
1. ! [X0] : (wise(X0) => (happy(X0) <~> ~patient(X0))) [input p0]
13. ? [X0] : (~creative(X0) | ~rich(X0)) => patient(john) [input p12]
19. ~strong(john) & wise(john) [input p18]
21. ? [X0] : ~rich(X0) [input p... | 0 |
If john is not humble or wise then lucy is either not quiet or patient and vice versa.
If someone is not strong or not rich then lucy is either not creative or wise.
Everyone who is both not strong and humble is both not curious and not calm and vice versa.
Everyone who is not strong is patient or tall and vice versa.
... | Lucy is patient. | entailment | (((~humble(john)|wise(john)))<=>((~quiet(lucy)<~>patient(lucy))))&
((?[X]:((~strong(X)|~rich(X))))=>((~creative(lucy)<~>wise(lucy))))&
(![X]:((~strong(X)&humble(X))<=>(~curious(X)&~calm(X))))&
(![X]:(~strong(X)<=>(patient(X)|tall(X))))&
((?[X]:((~quiet(X)&tall(X))))<=>(?[X]:((~brave(X)<~>~funny(X)))))&
(((rich(fred)<~>... | patient(lucy) | [
"p0",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5383644920243453808992671
% SZS output start Proof for 5383644920243453808992671
1. (wise(john) | ~humble(john)) <=> (~quiet(lucy) <~> patient(lucy)) [input p0]
13. ! [X0] : (~quiet(X0) => patient(X0)) [input p12]
20. ~wise(john) <~> humble(john) [input p19]
25. ~patient(lucy) [input hypo... | 0 |
Everyone who is not patient is either not happy or humble.
If john is both not curious and not happy then mary is not humble or not kind and vice versa.
Everyone who is either not brave or not tall is not old or calm and vice versa.
Everyone who is not happy or not creative is strong or not humble.
Everyone who is both... | John is not curious. | entailment | (![X]:(~patient(X)=>(~happy(X)<~>humble(X))))&
(((~curious(john)&~happy(john)))<=>((~humble(mary)|~kind(mary))))&
(![X]:((~brave(X)<~>~tall(X))<=>(~old(X)|calm(X))))&
(![X]:((~happy(X)|~creative(X))=>(strong(X)|~humble(X))))&
(![X]:((kind(X)&old(X))<=>(curious(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>~funny(X)... | ~curious(john) | [
"p5",
"p6",
"p7",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 824074798251751455257942
% SZS output start Proof for 824074798251751455257942
6. ! [X0] : ((~curious(X0) & ~old(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : ((happy(X0) | funny(X0)) <=> (quiet(X0) | ~brave(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | funny(X0)) => (~quiet(X0) <~> wise(X0)))... | 0 |
If someone is not tall then someone is not humble or happy and vice versa.
If someone is brave or not curious then someone is both patient and humble.
If paul is humble or wise then fred is both not kind and not humble and vice versa.
If john is happy then mary is kind.
Everyone who is either patient or not happy is ei... | Mary is funny. | contradiction | ((?[X]:(~tall(X)))<=>(?[X]:((~humble(X)|happy(X)))))&
((?[X]:((brave(X)|~curious(X))))=>(?[X]:((patient(X)&humble(X)))))&
(((humble(paul)|wise(paul)))<=>((~kind(fred)&~humble(fred))))&
((happy(john))=>(kind(mary)))&
(![X]:((patient(X)<~>~happy(X))<=>(~curious(X)<~>curious(X))))&
((~tall(john))<=>(?[X]:((~wise(X)<~>~gen... | funny(mary) | [
"p1",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7473541795845549226567414
% SZS output start Proof for 7473541795845549226567414
2. ? [X0] : (~curious(X0) | brave(X0)) => ? [X0] : (humble(X0) & patient(X0)) [input p1]
7. ! [X0] : ((old(X0) | ~funny(X0)) <=> (~creative(X0) <~> curious(X0))) [input p6]
9. ! [X0] : ((~patient(X0) & calm(X... | 0 |
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