premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not kind or funny is curious or funny and vice versa.
Everyone who is tall or humble is either not happy or not brave and vice versa.
If someone is either funny or not creative then someone is both old and rich and vice versa.
Everyone who is kind or quiet is either generous or not strong and vic... | Susan is not patient. | neutral | (![X]:((~kind(X)<~>funny(X))<=>(curious(X)|funny(X))))&
(![X]:((tall(X)|humble(X))<=>(~happy(X)<~>~brave(X))))&
((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((old(X)&rich(X)))))&
(![X]:((kind(X)|quiet(X))<=>(generous(X)<~>~strong(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~tall(X)|~kin... | ~patient(susan) | [] | null | 0 |
If someone is tall then fred is either strong or not tall and vice versa. Everyone who is kind or curious is both brave and creative and vice versa. If someone is not brave then someone is not happy and vice versa. Everyone who is old or quiet is quiet and vice versa. If lucy is funny or strong then paul is both genero... | Alice is not funny. | contradiction | ((?[X]:(tall(X)))<=>((strong(fred)<~>~tall(fred))))&
(![X]:((kind(X)|curious(X))<=>(brave(X)&creative(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(~happy(X))))&
(![X]:((old(X)|quiet(X))<=>quiet(X)))&
(((funny(lucy)|strong(lucy)))=>((generous(paul)&patient(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~rich(X)))))&
(((br... | ~funny(alice) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9027693633708375805974792
% SZS output start Proof for 9027693633708375805974792
1. ? [X0] : tall(X0) <=> (strong(fred) <~> ~tall(fred)) [input p0]
2. ! [X0] : ((curious(X0) | kind(X0)) <=> (creative(X0) & brave(X0))) [input p1]
3. ? [X0] : ~brave(X0) <=> ? [X0] : ~happy(X0) [input p2]
8.... | 0 |
Everyone who is not old or happy is not generous.
Everyone who is strong is brave or not kind and vice versa.
If someone is strong or quiet then someone is both not quiet and not patient and vice versa.
Everyone who is not kind or not humble is strong or creative.
If john is not kind then someone is both not curious an... | Fred is not happy. | entailment | (![X]:((~old(X)|happy(X))=>~generous(X)))&
(![X]:(strong(X)<=>(brave(X)|~kind(X))))&
((?[X]:((strong(X)|quiet(X))))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((~kind(X)|~humble(X))=>(strong(X)|creative(X))))&
((~kind(john))=>(?[X]:((~curious(X)&~quiet(X)))))&
(![X]:((quiet(X)&~tall(X))=>(kind(X)&generous(X))))&
(![X]:... | ~happy(fred) | [
"p6",
"p7",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7960658029002510587480958
% SZS output start Proof for 7960658029002510587480958
7. ! [X0] : (~rich(X0) <=> (~old(X0) | ~wise(X0))) [input p6]
8. ! [X0] : ((brave(X0) & ~rich(X0)) => (~funny(X0) | ~happy(X0))) [input p7]
9. ! [X0] : ((funny(X0) | curious(X0)) => ~wise(X0)) [input p8]
12. ... | 0 |
Everyone who is not generous or not wise is not humble.
Everyone who is both brave and kind is not creative and vice versa.
If john is both old and curious then someone is not humble or not curious.
If someone is not creative or not happy then alice is both not strong and not brave.
If someone is both not old and not c... | Lucy is creative. | neutral | (![X]:((~generous(X)|~wise(X))=>~humble(X)))&
(![X]:((brave(X)&kind(X))<=>~creative(X)))&
(((old(john)&curious(john)))=>(?[X]:((~humble(X)|~curious(X)))))&
((?[X]:((~creative(X)|~happy(X))))=>((~strong(alice)&~brave(alice))))&
((?[X]:((~old(X)&~creative(X))))<=>((~wise(susan)&creative(susan))))&
(![X]:((~kind(X)&~humbl... | creative(lucy) | [] | null | 0 |
If mary is happy or funny then someone is brave and vice versa. Everyone who is curious or strong is not funny. If someone is both tall and humble then someone is not rich or wise. If susan is calm then someone is both not calm and curious and vice versa. Everyone who is generous is kind or not generous and vice versa.... | Susan is not rich. | entailment | (((happy(mary)|funny(mary)))<=>(?[X]:(brave(X))))&
(![X]:((curious(X)|strong(X))=>~funny(X)))&
((?[X]:((tall(X)&humble(X))))=>(?[X]:((~rich(X)|wise(X)))))&
((calm(susan))<=>(?[X]:((~calm(X)&curious(X)))))&
(![X]:(generous(X)<=>(kind(X)|~generous(X))))&
(![X]:((~rich(X)<~>~tall(X))=>~rich(X)))&
(((~funny(alice)&~quiet(a... | ~rich(susan) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2731829734671164275155408
% SZS output start Proof for 2731829734671164275155408
2. ! [X0] : ((strong(X0) | curious(X0)) => ~funny(X0)) [input p1]
4. calm(susan) <=> ? [X0] : (curious(X0) & ~calm(X0)) [input p3]
5. ! [X0] : (generous(X0) <=> (~generous(X0) | kind(X0))) [input p4]
6. ! [X0... | 0 |
Everyone who is either not rich or creative is either not patient or not strong.
If lucy is either generous or rich then lucy is either wise or not curious and vice versa.
Everyone who is not brave or humble is calm or tall and vice versa.
If lucy is wise or old then mary is patient.
If susan is either not wise or humb... | Mary is tall. | entailment | (![X]:((~rich(X)<~>creative(X))=>(~patient(X)<~>~strong(X))))&
(((generous(lucy)<~>rich(lucy)))<=>((wise(lucy)<~>~curious(lucy))))&
(![X]:((~brave(X)|humble(X))<=>(calm(X)|tall(X))))&
(((wise(lucy)|old(lucy)))=>(patient(mary)))&
(((~wise(susan)<~>humble(susan)))<=>(?[X]:((happy(X)<~>~old(X)))))&
(![X]:(curious(X)=>(hum... | tall(mary) | [
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1095318592158537529919929
% SZS output start Proof for 1095318592158537529919929
3. ! [X0] : ((humble(X0) | ~brave(X0)) <=> (tall(X0) | calm(X0))) [input p2]
12. ! [X0] : ((~humble(X0) | calm(X0)) <=> tall(X0)) [input p11]
25. ~tall(mary) [input hypothesis]
35. ! [X0] : (((humble(X0) | ~b... | 0 |
Everyone who is generous is either old or not calm and vice versa.
Everyone who is not old is both quiet and strong.
If someone is either rich or kind then john is either kind or wise.
Everyone who is patient or not happy is calm and vice versa.
If alice is calm then someone is wise.
Everyone who is rich or creative is... | Mary is humble. | neutral | (![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X))<=>calm(X)))&
((calm(alice))=>(?[X]:(wise(X))))&
(![X]:((rich(X)|creative(X))=>happy(X)))&
((?[X]:((creative(X)<~>~generous(X))))<=>((~curious(mar... | humble(mary) | [] | null | 0 |
Everyone who is curious or not kind is funny. Everyone who is both patient and not quiet is not curious and vice versa. Everyone who is wise is not rich or not calm and vice versa. If someone is both rich and not curious then john is both brave and creative. If john is either generous or not happy then lucy is both old... | Alice is not brave. | neutral | (![X]:((curious(X)|~kind(X))=>funny(X)))&
(![X]:((patient(X)&~quiet(X))<=>~curious(X)))&
(![X]:(wise(X)<=>(~rich(X)|~calm(X))))&
((?[X]:((rich(X)&~curious(X))))=>((brave(john)&creative(john))))&
(((generous(john)<~>~happy(john)))<=>((old(lucy)&happy(lucy))))&
(![X]:((rich(X)|generous(X))<=>(humble(X)|~generous(X))))&
(... | ~brave(alice) | [] | null | 0 |
If someone is either rich or funny then paul is not generous.
Everyone who is both funny and not brave is both not calm and humble and vice versa.
If fred is rich or not generous then john is not wise or not strong.
If fred is either brave or not happy then paul is quiet.
Everyone who is either not humble or not brave ... | John is humble. | entailment | ((?[X]:((rich(X)<~>funny(X))))=>(~generous(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~calm(X)&humble(X))))&
(((rich(fred)|~generous(fred)))=>((~wise(john)|~strong(john))))&
(((brave(fred)<~>~happy(fred)))=>(quiet(paul)))&
(![X]:((~humble(X)<~>~brave(X))<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((... | humble(john) | [
"p1",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 855358897818869097986720
% SZS output start Proof for 855358897818869097986720
2. ! [X0] : ((~brave(X0) & funny(X0)) <=> (humble(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> tall(X0)) [input p4]
6. ! [X0] : ((tall(X0) | creative(X0)) => (~tall(X0) | funny(X0)... | 0 |
If fred is either kind or not quiet then someone is either tall or not old.
Everyone who is strong or creative is both kind and not tall.
If someone is kind then lucy is both not strong and funny.
If someone is either not humble or funny then alice is happy.
Everyone who is either funny or humble is both not rich and h... | Alice is calm. | contradiction | (((kind(fred)<~>~quiet(fred)))=>(?[X]:((tall(X)<~>~old(X)))))&
(![X]:((strong(X)|creative(X))=>(kind(X)&~tall(X))))&
((?[X]:(kind(X)))=>((~strong(lucy)&funny(lucy))))&
((?[X]:((~humble(X)<~>funny(X))))=>(happy(alice)))&
(![X]:((funny(X)<~>humble(X))<=>(~rich(X)&happy(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((ta... | calm(alice) | [
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 299083869046031351732125
% SZS output start Proof for 299083869046031351732125
4. ? [X0] : (~humble(X0) <~> funny(X0)) => happy(alice) [input p3]
5. ! [X0] : ((funny(X0) <~> humble(X0)) <=> (happy(X0) & ~rich(X0))) [input p4]
9. ! [X0] : ((curious(X0) <~> ~old(X0)) => (~tall(X0) | ~kind(X... | 0 |
If fred is brave then someone is both wise and tall.
Everyone who is not curious is both not kind and not calm and vice versa.
Everyone who is either not strong or happy is wise or not tall.
Everyone who is not calm is either old or not tall and vice versa.
If someone is not humble then john is not happy and vice versa... | John is not curious. | contradiction | ((brave(fred))=>(?[X]:((wise(X)&tall(X)))))&
(![X]:(~curious(X)<=>(~kind(X)&~calm(X))))&
(![X]:((~strong(X)<~>happy(X))=>(wise(X)|~tall(X))))&
(![X]:(~calm(X)<=>(old(X)<~>~tall(X))))&
((?[X]:(~humble(X)))<=>(~happy(john)))&
(((humble(lucy)<~>~curious(lucy)))=>((strong(susan)<~>~kind(susan))))&
(![X]:((~tall(X)<~>~kind(... | ~curious(john) | [
"p1",
"p6",
"p8",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3218083319600034826501620
% SZS output start Proof for 3218083319600034826501620
2. ! [X0] : (~curious(X0) <=> (~calm(X0) & ~kind(X0))) [input p1]
7. ! [X0] : ((~tall(X0) <~> ~kind(X0)) <=> (brave(X0) & creative(X0))) [input p6]
9. ~tall(lucy) <=> ? [X0] : (~calm(X0) <~> humble(X0)) [inpu... | 0 |
Everyone who is both not funny and generous is both not tall and kind and vice versa.
Everyone who is old is both creative and rich and vice versa.
Everyone who is both kind and humble is not happy.
Everyone who is not kind is rich or humble and vice versa.
Everyone who is brave or creative is calm or patient.
If someo... | Alice is humble. | neutral | (![X]:((~funny(X)&generous(X))<=>(~tall(X)&kind(X))))&
(![X]:(old(X)<=>(creative(X)&rich(X))))&
(![X]:((kind(X)&humble(X))=>~happy(X)))&
(![X]:(~kind(X)<=>(rich(X)|humble(X))))&
(![X]:((brave(X)|creative(X))=>(calm(X)|patient(X))))&
((?[X]:((~patient(X)|~kind(X))))=>((kind(lucy)&~quiet(lucy))))&
((?[X]:((generous(X)<~>... | humble(alice) | [] | null | 0 |
Everyone who is either not funny or funny is both not kind and not wise.
Everyone who is either quiet or creative is rich or not happy.
If someone is either creative or not wise then paul is both kind and creative and vice versa.
Everyone who is kind or not tall is both not strong and not wise.
If someone is either cal... | John is brave. | entailment | (![X]:((~funny(X)<~>funny(X))=>(~kind(X)&~wise(X))))&
(![X]:((quiet(X)<~>creative(X))=>(rich(X)|~happy(X))))&
((?[X]:((creative(X)<~>~wise(X))))<=>((kind(paul)&creative(paul))))&
(![X]:((kind(X)|~tall(X))=>(~strong(X)&~wise(X))))&
((?[X]:((calm(X)<~>~strong(X))))=>(?[X]:((~rich(X)|~brave(X)))))&
(![X]:((~patient(X)&~ta... | brave(john) | [
"p0",
"p2",
"p7",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 890255020687222627747915
% SZS output start Proof for 890255020687222627747915
1. ! [X0] : ((~funny(X0) <~> funny(X0)) => (~wise(X0) & ~kind(X0))) [input p0]
3. ? [X0] : (creative(X0) <~> ~wise(X0)) <=> (creative(paul) & kind(paul)) [input p2]
8. ! [X0] : ((brave(X0) <~> calm(X0)) <=> (fu... | 0 |
If paul is wise or not old then fred is both quiet and not quiet and vice versa. Everyone who is either kind or generous is both not curious and not funny and vice versa. Everyone who is both not old and not quiet is either not old or not quiet and vice versa. Everyone who is generous is curious or old and vice versa. ... | Fred is not brave. | entailment | (((wise(paul)|~old(paul)))<=>((quiet(fred)&~quiet(fred))))&
(![X]:((kind(X)<~>generous(X))<=>(~curious(X)&~funny(X))))&
(![X]:((~old(X)&~quiet(X))<=>(~old(X)<~>~quiet(X))))&
(![X]:(generous(X)<=>(curious(X)|old(X))))&
(![X]:((strong(X)|~curious(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((funny(X)&~patient(X))<=>(old(X)&~p... | ~brave(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3939769759354263000178818
% SZS output start Proof for 3939769759354263000178818
2. ! [X0] : ((kind(X0) <~> generous(X0)) <=> (~funny(X0) & ~curious(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~old(X0) <~> ~quiet(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (old(X0) | cur... | 0 |
Everyone who is not brave is either not generous or strong and vice versa.
If someone is not calm then lucy is both not wise and not creative.
Everyone who is old or not kind is both not curious and not generous.
Everyone who is both kind and tall is either brave or old.
Everyone who is both not creative and not humble... | Alice is not calm. | contradiction | (![X]:(~brave(X)<=>(~generous(X)<~>strong(X))))&
((?[X]:(~calm(X)))=>((~wise(lucy)&~creative(lucy))))&
(![X]:((old(X)|~kind(X))=>(~curious(X)&~generous(X))))&
(![X]:((kind(X)&tall(X))=>(brave(X)<~>old(X))))&
(![X]:((~creative(X)&~humble(X))<=>(~strong(X)&~rich(X))))&
(![X]:((humble(X)<~>tall(X))<=>quiet(X)))&
(((patien... | ~calm(alice) | [
"p1",
"p5",
"p9",
"p10",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8830881594382518147917667
% SZS output start Proof for 8830881594382518147917667
2. ? [X0] : ~calm(X0) => (~creative(lucy) & ~wise(lucy)) [input p1]
6. ! [X0] : ((humble(X0) <~> tall(X0)) <=> quiet(X0)) [input p5]
10. ! [X0] : ((~brave(X0) | brave(X0)) <=> ~brave(X0)) [input p9]
11. ! [X0... | 0 |
Everyone who is both not wise and strong is both patient and calm and vice versa.
Everyone who is not patient is either not tall or generous and vice versa.
Everyone who is not generous or not tall is either kind or not happy.
If someone is either not old or not generous then susan is quiet.
If mary is tall or not happ... | Susan is not wise. | entailment | (![X]:((~wise(X)&strong(X))<=>(patient(X)&calm(X))))&
(![X]:(~patient(X)<=>(~tall(X)<~>generous(X))))&
(![X]:((~generous(X)|~tall(X))=>(kind(X)<~>~happy(X))))&
((?[X]:((~old(X)<~>~generous(X))))=>(quiet(susan)))&
(((tall(mary)|~happy(mary)))<=>(?[X]:((strong(X)|~strong(X)))))&
((happy(alice))<=>((rich(alice)&~strong(al... | ~wise(susan) | [
"p1",
"p2",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 616219642456181723731138
% SZS output start Proof for 616219642456181723731138
2. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> generous(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | ~generous(X0)) => (kind(X0) <~> ~happy(X0))) [input p2]
10. ! [X0] : ((~old(X0) | generous(X0)) => (~quiet(X0) | ... | 0 |
Everyone who is not old or not tall is both not humble and humble. Everyone who is either not quiet or not strong is both not wise and not kind and vice versa. Everyone who is not patient or not wise is both not strong and creative and vice versa. Everyone who is not creative or not quiet is not wise. If alice is both ... | Fred is not strong. | neutral | (![X]:((~old(X)|~tall(X))=>(~humble(X)&humble(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(~wise(X)&~kind(X))))&
(![X]:((~patient(X)|~wise(X))<=>(~strong(X)&creative(X))))&
(![X]:((~creative(X)|~quiet(X))=>~wise(X)))&
(((quiet(alice)&brave(alice)))<=>((~quiet(mary)|~old(mary))))&
(![X]:((~old(X)<~>generous(X))=>(humble(X)... | ~strong(fred) | [] | null | 0 |
Everyone who is brave or humble is not brave.
Everyone who is curious or not quiet is patient and vice versa.
Everyone who is either humble or creative is either kind or not wise and vice versa.
Everyone who is not kind or quiet is either strong or wise.
Everyone who is either not creative or not happy is both tall and... | Fred is not creative. | neutral | (![X]:((brave(X)|humble(X))=>~brave(X)))&
(![X]:((curious(X)|~quiet(X))<=>patient(X)))&
(![X]:((humble(X)<~>creative(X))<=>(kind(X)<~>~wise(X))))&
(![X]:((~kind(X)|quiet(X))=>(strong(X)<~>wise(X))))&
(![X]:((~creative(X)<~>~happy(X))<=>(tall(X)&~tall(X))))&
((?[X]:((quiet(X)<~>~creative(X))))=>(?[X]:(~calm(X))))&
((?[X... | ~creative(fred) | [] | null | 0 |
If someone is both not funny and not wise then john is either generous or not calm and vice versa.
Everyone who is both not curious and tall is not calm or not rich and vice versa.
Everyone who is old or not tall is either not strong or not funny.
If fred is both generous and not tall then fred is not happy or humble.
... | Fred is rich. | entailment | ((?[X]:((~funny(X)&~wise(X))))<=>((generous(john)<~>~calm(john))))&
(![X]:((~curious(X)&tall(X))<=>(~calm(X)|~rich(X))))&
(![X]:((old(X)|~tall(X))=>(~strong(X)<~>~funny(X))))&
(((generous(fred)&~tall(fred)))=>((~happy(fred)|humble(fred))))&
(![X]:((brave(X)&happy(X))<=>(~curious(X)|~old(X))))&
(((creative(john)|~strong... | rich(fred) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7282895487175076035530748
% SZS output start Proof for 7282895487175076035530748
2. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~rich(X0) | ~calm(X0))) [input p1]
9. ! [X0] : (~curious(X0) => (rich(X0) & calm(X0))) [input p8]
23. ~rich(fred) [input hypothesis]
32. ! [X0] : ((rich(X0) & calm(... | 0 |
If someone is not old or not tall then someone is strong or not strong and vice versa.
If someone is both not patient and not quiet then someone is either not generous or not tall.
Everyone who is old is generous or funny and vice versa.
If someone is both not wise and strong then someone is either not brave or not wis... | John is quiet. | contradiction | ((?[X]:((~old(X)|~tall(X))))<=>(?[X]:((strong(X)|~strong(X)))))&
((?[X]:((~patient(X)&~quiet(X))))=>(?[X]:((~generous(X)<~>~tall(X)))))&
(![X]:(old(X)<=>(generous(X)|funny(X))))&
((?[X]:((~wise(X)&strong(X))))=>(?[X]:((~brave(X)<~>~wise(X)))))&
((?[X]:((brave(X)<~>~calm(X))))<=>(?[X]:((~wise(X)|~patient(X)))))&
(![X]:(... | quiet(john) | [
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8934805758383767041497100
% SZS output start Proof for 8934805758383767041497100
13. ! [X0] : ((old(X0) & ~calm(X0)) <=> (~old(X0) & ~rich(X0))) [input p12]
15. ~quiet(john) <=> (old(alice) | ~creative(alice)) [input p14]
16. ! [X0] : ((~old(X0) | generous(X0)) => (~rich(X0) & ~generous(X... | 0 |
Everyone who is either not funny or not generous is either not tall or not generous and vice versa.
Everyone who is brave is both humble and patient and vice versa.
Everyone who is both not tall and not wise is not happy or old.
If someone is rich then lucy is either quiet or not funny and vice versa.
If paul is both t... | Mary is happy. | neutral | (![X]:((~funny(X)<~>~generous(X))<=>(~tall(X)<~>~generous(X))))&
(![X]:(brave(X)<=>(humble(X)&patient(X))))&
(![X]:((~tall(X)&~wise(X))=>(~happy(X)|old(X))))&
((?[X]:(rich(X)))<=>((quiet(lucy)<~>~funny(lucy))))&
(((tall(paul)&~happy(paul)))=>(?[X]:((~humble(X)&~calm(X)))))&
(![X]:((~brave(X)|patient(X))=>(kind(X)&brave... | happy(mary) | [] | null | 0 |
Everyone who is not wise is both not calm and tall.
If someone is not wise or generous then paul is humble.
Everyone who is kind or not brave is not creative or not humble and vice versa.
Everyone who is either not calm or not kind is curious or brave and vice versa.
Everyone who is not calm is not brave or not wise an... | Paul is humble. | entailment | (![X]:(~wise(X)=>(~calm(X)&tall(X))))&
((?[X]:((~wise(X)|generous(X))))=>(humble(paul)))&
(![X]:((kind(X)|~brave(X))<=>(~creative(X)|~humble(X))))&
(![X]:((~calm(X)<~>~kind(X))<=>(curious(X)|brave(X))))&
(![X]:(~calm(X)<=>(~brave(X)|~wise(X))))&
(![X]:((happy(X)<~>wise(X))=>~creative(X)))&
(![X]:((~tall(X)&~strong(X))=... | humble(paul) | [
"p1",
"p3",
"p4",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 887461675973667333429097
% SZS output start Proof for 887461675973667333429097
2. ? [X0] : (generous(X0) | ~wise(X0)) => humble(paul) [input p1]
4. ! [X0] : ((~calm(X0) <~> ~kind(X0)) <=> (brave(X0) | curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (~wise(X0) | ~brave(X0))) [input p4]... | 0 |
Everyone who is generous is wise.
Everyone who is both not wise and not calm is not funny or calm.
Everyone who is not funny is not curious or old and vice versa.
Everyone who is both not brave and not happy is happy or not happy.
If alice is both not wise and not funny then paul is not old and vice versa.
If someone i... | Fred is not brave. | neutral | (![X]:(generous(X)=>wise(X)))&
(![X]:((~wise(X)&~calm(X))=>(~funny(X)|calm(X))))&
(![X]:(~funny(X)<=>(~curious(X)|old(X))))&
(![X]:((~brave(X)&~happy(X))=>(happy(X)|~happy(X))))&
(((~wise(alice)&~funny(alice)))<=>(~old(paul)))&
((?[X]:((wise(X)<~>calm(X))))=>((creative(john)&~old(john))))&
(![X]:((~brave(X)|~humble(X))... | ~brave(fred) | [] | null | 0 |
Everyone who is not old or funny is humble or quiet. If someone is either not brave or wise then someone is not curious or kind and vice versa. Everyone who is either not creative or wise is not creative or not curious and vice versa. If someone is both not wise and not strong then lucy is funny or quiet. Everyone who ... | Fred is strong. | entailment | (![X]:((~old(X)|funny(X))=>(humble(X)|quiet(X))))&
((?[X]:((~brave(X)<~>wise(X))))<=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:((~creative(X)<~>wise(X))<=>(~creative(X)|~curious(X))))&
((?[X]:((~wise(X)&~strong(X))))=>((funny(lucy)|quiet(lucy))))&
(![X]:((tall(X)&strong(X))=>strong(X)))&
(![X]:(tall(X)<=>(patient(X)&quiet... | strong(fred) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4490648415657489629920301
% SZS output start Proof for 4490648415657489629920301
9. ! [X0] : (kind(X0) <=> (humble(X0) | tall(X0))) [input p8]
12. ! [X0] : ((tall(X0) & ~kind(X0)) <=> (~wise(X0) | ~strong(X0))) [input p11]
24. ~strong(fred) [input hypothesis]
56. ! [X0] : ((kind(X0) | (~h... | 0 |
If someone is both not creative and not calm then someone is quiet or not curious and vice versa.
Everyone who is not calm is rich or strong.
Everyone who is quiet or not wise is not wise or not funny.
If john is not creative or not generous then someone is not rich or not quiet and vice versa.
If someone is strong the... | John is not old. | entailment | ((?[X]:((~creative(X)&~calm(X))))<=>(?[X]:((quiet(X)|~curious(X)))))&
(![X]:(~calm(X)=>(rich(X)|strong(X))))&
(![X]:((quiet(X)|~wise(X))=>(~wise(X)|~funny(X))))&
(((~creative(john)|~generous(john)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
((?[X]:(strong(X)))<=>((~quiet(paul)|~curious(paul))))&
((?[X]:((old(X)|kind(X))))=>(?[... | ~old(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8682461512079913661457770
% SZS output start Proof for 8682461512079913661457770
6. ? [X0] : (kind(X0) | old(X0)) => ? [X0] : (~brave(X0) & brave(X0)) [input p5]
23. old(john) [input hypothesis]
25. ? [X0] : (kind(X0) | old(X0)) => ? [X1] : (~brave(X1) & brave(X1)) [rectify 6]
29. ? [X1] ... | 0 |
If mary is both not rich and not creative then someone is either happy or not happy and vice versa.
If someone is either not quiet or not calm then susan is both not calm and not creative and vice versa.
Everyone who is both not old and quiet is wise or brave and vice versa.
Everyone who is both generous and not brave ... | Lucy is not brave. | entailment | (((~rich(mary)&~creative(mary)))<=>(?[X]:((happy(X)<~>~happy(X)))))&
((?[X]:((~quiet(X)<~>~calm(X))))<=>((~calm(susan)&~creative(susan))))&
(![X]:((~old(X)&quiet(X))<=>(wise(X)|brave(X))))&
(![X]:((generous(X)&~brave(X))<=>(brave(X)|~calm(X))))&
(![X]:((~humble(X)<~>~generous(X))=>(~strong(X)|~generous(X))))&
(![X]:(~s... | ~brave(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2143732210013367776266240
% SZS output start Proof for 2143732210013367776266240
4. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~calm(X0) | brave(X0))) [input p3]
24. brave(lucy) [input hypothesis]
51. ! [X0] : (((~brave(X0) & generous(X0)) | (calm(X0) & ~brave(X0))) & ((~calm(X0) | brave(... | 0 |
Everyone who is funny is both patient and kind and vice versa.
Everyone who is either curious or not generous is not happy or not funny and vice versa.
If fred is not funny or not tall then lucy is not curious or calm and vice versa.
If paul is either curious or rich then someone is both curious and not humble and vice... | Susan is creative. | neutral | (![X]:(funny(X)<=>(patient(X)&kind(X))))&
(![X]:((curious(X)<~>~generous(X))<=>(~happy(X)|~funny(X))))&
(((~funny(fred)|~tall(fred)))<=>((~curious(lucy)|calm(lucy))))&
(((curious(paul)<~>rich(paul)))<=>(?[X]:((curious(X)&~humble(X)))))&
(![X]:(~rich(X)=>(~funny(X)<~>~rich(X))))&
(![X]:((wise(X)|old(X))<=>(~strong(X)|~c... | creative(susan) | [] | null | 0 |
Everyone who is not funny is both tall and not curious.
Everyone who is rich or not strong is both not creative and strong and vice versa.
If someone is either generous or not funny then mary is not rich.
If someone is either not calm or not rich then someone is patient and vice versa.
If someone is both not strong and... | Alice is rich. | contradiction | (![X]:(~funny(X)=>(tall(X)&~curious(X))))&
(![X]:((rich(X)|~strong(X))<=>(~creative(X)&strong(X))))&
((?[X]:((generous(X)<~>~funny(X))))=>(~rich(mary)))&
((?[X]:((~calm(X)<~>~rich(X))))<=>(?[X]:(patient(X))))&
((?[X]:((~strong(X)&generous(X))))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:((quiet(X)|humble(X))<=>~curious(... | rich(alice) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4628452756843656094644543
% SZS output start Proof for 4628452756843656094644543
2. ! [X0] : ((~strong(X0) | rich(X0)) <=> (strong(X0) & ~creative(X0))) [input p1]
14. ! [X0] : ((patient(X0) | ~creative(X0)) => (~creative(X0) <~> rich(X0))) [input p13]
24. rich(alice) [input hypothesis]
3... | 0 |
Everyone who is brave is both old and tall and vice versa.
If susan is kind then alice is either kind or not generous and vice versa.
If susan is both humble and not patient then paul is not wise or calm.
If fred is not strong or not quiet then someone is both not old and not funny and vice versa.
If someone is either ... | Paul is generous. | contradiction | (![X]:(brave(X)<=>(old(X)&tall(X))))&
((kind(susan))<=>((kind(alice)<~>~generous(alice))))&
(((humble(susan)&~patient(susan)))=>((~wise(paul)|calm(paul))))&
(((~strong(fred)|~quiet(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
((?[X]:((strong(X)<~>humble(X))))=>(~strong(alice)))&
(![X]:((kind(X)<~>creative(X))<=>(tall(X)&fu... | generous(paul) | [
"p0",
"p8",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2110505242645055304296566
% SZS output start Proof for 2110505242645055304296566
1. ! [X0] : (brave(X0) <=> (tall(X0) & old(X0))) [input p0]
9. ! [X0] : (old(X0) <=> brave(X0)) [input p8]
10. ! [X0] : ((~curious(X0) | ~old(X0)) => (~creative(X0) <~> ~brave(X0))) [input p9]
13. ? [X0] : (~... | 0 |
Everyone who is both rich and not creative is either patient or not tall and vice versa. If someone is either not rich or creative then fred is either wise or calm and vice versa. Everyone who is both not rich and not curious is old or funny and vice versa. Everyone who is not wise is kind and vice versa. If fred is ha... | Mary is not funny. | neutral | (![X]:((rich(X)&~creative(X))<=>(patient(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((wise(fred)<~>calm(fred))))&
(![X]:((~rich(X)&~curious(X))<=>(old(X)|funny(X))))&
(![X]:(~wise(X)<=>kind(X)))&
(((happy(fred)|creative(fred)))=>(?[X]:((~strong(X)|~quiet(X)))))&
((~funny(susan))=>(?[X]:((funny(X)<~>~calm(X)... | ~funny(mary) | [] | null | 0 |
If lucy is humble then fred is both happy and not calm.
If someone is both creative and not rich then someone is not strong or strong.
Everyone who is not strong or quiet is strong or not kind.
If someone is both not brave and old then someone is both not kind and generous and vice versa.
If paul is both patient and no... | Paul is strong. | entailment | ((humble(lucy))=>((happy(fred)&~calm(fred))))&
((?[X]:((creative(X)&~rich(X))))=>(?[X]:((~strong(X)|strong(X)))))&
(![X]:((~strong(X)|quiet(X))=>(strong(X)|~kind(X))))&
((?[X]:((~brave(X)&old(X))))<=>(?[X]:((~kind(X)&generous(X)))))&
(((patient(paul)&~humble(paul)))=>((strong(alice)&~tall(alice))))&
((?[X]:((~strong(X)... | strong(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8104045478231246212635269
% SZS output start Proof for 8104045478231246212635269
3. ! [X0] : ((quiet(X0) | ~strong(X0)) => (~kind(X0) | strong(X0))) [input p2]
8. ! [X0] : ((~generous(X0) & kind(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p7]
21. ~strong(paul) [input hypothesis]
28.... | 0 |
If mary is both creative and not brave then someone is either not tall or humble. If lucy is either not patient or calm then someone is funny and vice versa. Everyone who is creative or quiet is either old or tall and vice versa. Everyone who is both not tall and not calm is generous and vice versa. Everyone who is not... | John is not rich. | entailment | (((creative(mary)&~brave(mary)))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(![X]... | ~rich(john) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 178636917026140226984292
% SZS output start Proof for 178636917026140226984292
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p3]
5. ! [X0] : (~calm(X0) <=> (wise(X0) | tall(X0))) [input p4]
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
7. ... | 0 |
Everyone who is both not happy and calm is both brave and not strong and vice versa. Everyone who is not rich or not funny is either brave or old and vice versa. Everyone who is either rich or not creative is either generous or not brave and vice versa. Everyone who is curious is either not funny or rich. Everyone who ... | Susan is not strong. | contradiction | (![X]:((~happy(X)&calm(X))<=>(brave(X)&~strong(X))))&
(![X]:((~rich(X)|~funny(X))<=>(brave(X)<~>old(X))))&
(![X]:((rich(X)<~>~creative(X))<=>(generous(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~funny(X)<~>rich(X))))&
(![X]:((~curious(X)|~strong(X))<=>(~happy(X)&quiet(X))))&
(![X]:((generous(X)&~patient(X))<=>(humble(X)|st... | ~strong(susan) | [
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2834689216909960241715586
% SZS output start Proof for 2834689216909960241715586
5. ! [X0] : ((~strong(X0) | ~curious(X0)) <=> (quiet(X0) & ~happy(X0))) [input p4]
6. ! [X0] : ((~patient(X0) & generous(X0)) <=> (strong(X0) | humble(X0))) [input p5]
9. ! [X0] : (strong(X0) <=> (creative(X0... | 0 |
If someone is wise or not kind then someone is both generous and tall and vice versa. If john is brave or strong then someone is not quiet. Everyone who is either not quiet or not strong is either happy or not kind and vice versa. If someone is not generous then fred is rich. If someone is both not patient and tall the... | Fred is not creative. | contradiction | ((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((generous(X)&tall(X)))))&
(((brave(john)|strong(john)))=>(?[X]:(~quiet(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>(happy(X)<~>~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(![X]:((~calm(X)|rich(X))<=>(funny(X)... | ~creative(fred) | [
"p8",
"p12",
"p14",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7368794803634710936152801
% SZS output start Proof for 7368794803634710936152801
9. ! [X0] : ((creative(X0) & ~creative(X0)) <=> tall(X0)) [input p8]
13. ! [X0] : ((~old(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p12]
15. (funny(fred) <~> ~creative(fred)) => ? [X0] : (funny(X0) & ~... | 0 |
If someone is not old or patient then fred is wise or not rich.
Everyone who is both tall and patient is both not generous and humble and vice versa.
Everyone who is tall is both not happy and creative and vice versa.
Everyone who is quiet is curious and vice versa.
Everyone who is both funny and quiet is either tall o... | Paul is not patient. | entailment | ((?[X]:((~old(X)|patient(X))))=>((wise(fred)|~rich(fred))))&
(![X]:((tall(X)&patient(X))<=>(~generous(X)&humble(X))))&
(![X]:(tall(X)<=>(~happy(X)&creative(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((funny(X)&quiet(X))<=>(tall(X)<~>patient(X))))&
((?[X]:((wise(X)|~generous(X))))<=>(?[X]:((happy(X)<~>tall(X)))))&
(![... | ~patient(paul) | [
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5119432827584870188228426
% SZS output start Proof for 5119432827584870188228426
3. ! [X0] : (tall(X0) <=> (creative(X0) & ~happy(X0))) [input p2]
10. ? [X0] : creative(X0) => (~brave(paul) | happy(paul)) [input p9]
12. ! [X0] : ((~brave(X0) & creative(X0)) <=> (~wise(X0) & ~patient(X0)))... | 0 |
If someone is tall or curious then susan is not kind and vice versa. Everyone who is wise is funny. If someone is both humble and curious then alice is either happy or not happy. If fred is not generous then someone is not humble or not strong and vice versa. If susan is not strong then john is kind. If lucy is creativ... | Lucy is brave. | entailment | ((?[X]:((tall(X)|curious(X))))<=>(~kind(susan)))&
(![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~o... | brave(lucy) | [
"p6",
"p7",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 960440139406947700921765
% SZS output start Proof for 960440139406947700921765
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p6]
8. ! [X0] : (old(X0) <=> (~tall(X0) & humble(X0))) [input p7]
12. ? [X0] : quiet(X0) <=> (humble(paul) | generous(paul)) [input p11]... | 0 |
Everyone who is either patient or not strong is both not generous and not humble.
If someone is both not rich and not strong then mary is not calm.
If susan is both not rich and not creative then john is not brave or humble.
If someone is either old or not brave then john is brave and vice versa.
If someone is either n... | Paul is not kind. | neutral | (![X]:((patient(X)<~>~strong(X))=>(~generous(X)&~humble(X))))&
((?[X]:((~rich(X)&~strong(X))))=>(~calm(mary)))&
(((~rich(susan)&~creative(susan)))=>((~brave(john)|humble(john))))&
((?[X]:((old(X)<~>~brave(X))))<=>(brave(john)))&
((?[X]:((~creative(X)<~>kind(X))))<=>((~wise(john)|~calm(john))))&
(![X]:(~humble(X)<=>(tal... | ~kind(paul) | [] | null | 0 |
Everyone who is either not patient or patient is either not kind or not strong and vice versa. If john is both happy and not creative then alice is not old or tall and vice versa. If susan is not creative then john is not quiet or not calm and vice versa. If someone is either brave or funny then someone is either funny... | Paul is not old. | neutral | (![X]:((~patient(X)<~>patient(X))<=>(~kind(X)<~>~strong(X))))&
(((happy(john)&~creative(john)))<=>((~old(alice)|tall(alice))))&
((~creative(susan))<=>((~quiet(john)|~calm(john))))&
((?[X]:((brave(X)<~>funny(X))))<=>(?[X]:((funny(X)<~>old(X)))))&
((?[X]:((~calm(X)&~curious(X))))=>((~funny(john)&~happy(john))))&
(![X]:((... | ~old(paul) | [] | null | 0 |
Everyone who is both tall and generous is both humble and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vice versa. Everyone who is both not kind and not strong is either kind or not funny. Everyone who is not happy is brave. Everyone who is happy is not humble and vice versa... | Lucy is happy. | entailment | (![X]:((tall(X)&generous(X))<=>(humble(X)&tall(X))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((~wise(X)&generous(X))=>~calm(X)))&
(![X]:((brave(X)|rich(X))<=>(~patient(X)|happy(X))))&... | happy(lucy) | [
"p3",
"p4",
"p6",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3166015923443073072879441
% SZS output start Proof for 3166015923443073072879441
4. ! [X0] : (~happy(X0) => brave(X0)) [input p3]
5. ! [X0] : (happy(X0) <=> ~humble(X0)) [input p4]
7. ! [X0] : ((rich(X0) | brave(X0)) <=> (happy(X0) | ~patient(X0))) [input p6]
12. ! [X0] : ((wise(X0) & ~cu... | 0 |
Everyone who is not humble is either tall or not quiet. Everyone who is not happy or happy is either not calm or not strong and vice versa. Everyone who is both not calm and rich is not quiet or calm and vice versa. If alice is both not wise and not strong then john is either quiet or not happy and vice versa. If someo... | Mary is not strong. | contradiction | (![X]:(~humble(X)=>(tall(X)<~>~quiet(X))))&
(![X]:((~happy(X)|happy(X))<=>(~calm(X)<~>~strong(X))))&
(![X]:((~calm(X)&rich(X))<=>(~quiet(X)|calm(X))))&
(((~wise(alice)&~strong(alice)))<=>((quiet(john)<~>~happy(john))))&
((?[X]:((~calm(X)<~>patient(X))))=>((tall(alice)<~>~generous(alice))))&
(((~quiet(lucy)|brave(lucy))... | ~strong(mary) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 302916711138538464416148
% SZS output start Proof for 302916711138538464416148
2. ! [X0] : ((happy(X0) | ~happy(X0)) <=> (~calm(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((rich(X0) & ~calm(X0)) <=> (calm(X0) | ~quiet(X0))) [input p2]
24. ~strong(mary) [input hypothesis]
40. ! [X0] : ((... | 0 |
If someone is not strong then someone is either curious or wise and vice versa. Everyone who is rich is both not calm and not creative. If mary is both creative and not generous then someone is either curious or not rich. If alice is either brave or not curious then mary is generous or strong and vice versa. Everyone w... | Lucy is not strong. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:((curious(X)<~>wise(X)))))&
(![X]:(rich(X)=>(~calm(X)&~creative(X))))&
(((creative(mary)&~generous(mary)))=>(?[X]:((curious(X)<~>~rich(X)))))&
(((brave(alice)<~>~curious(alice)))<=>((generous(mary)|strong(mary))))&
(![X]:((old(X)|strong(X))<=>~creative(X)))&
(![X]:(~kind(X)=>(~happy(X)&curi... | ~strong(lucy) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6100214492090937728344859
% SZS output start Proof for 6100214492090937728344859
8. ! [X0] : ((~old(X0) | ~generous(X0)) => (~strong(X0) & ~calm(X0))) [input p7]
13. ? [X0] : ~strong(X0) <=> (~generous(fred) & calm(fred)) [input p12]
25. ~strong(lucy) [input hypothesis]
36. ! [X0] : ((~st... | 0 |
If someone is not creative or not patient then someone is both wise and old and vice versa.
If alice is funny or patient then susan is either rich or not funny.
If someone is not happy or not calm then lucy is not tall.
Everyone who is not brave or kind is generous and vice versa.
Everyone who is not humble is both not... | Susan is rich. | contradiction | ((?[X]:((~creative(X)|~patient(X))))<=>(?[X]:((wise(X)&old(X)))))&
(((funny(alice)|patient(alice)))=>((rich(susan)<~>~funny(susan))))&
((?[X]:((~happy(X)|~calm(X))))=>(~tall(lucy)))&
(![X]:((~brave(X)|kind(X))<=>generous(X)))&
(![X]:(~humble(X)<=>(~curious(X)&old(X))))&
(![X]:((~patient(X)|brave(X))<=>(~humble(X)&old(X... | rich(susan) | [
"p2",
"p5",
"p6",
"p10",
"p12",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1247227847497336454375128
% SZS output start Proof for 1247227847497336454375128
3. ? [X0] : (~calm(X0) | ~happy(X0)) => ~tall(lucy) [input p2]
6. ! [X0] : ((brave(X0) | ~patient(X0)) <=> (old(X0) & ~humble(X0))) [input p5]
7. (curious(susan) & ~creative(susan)) <=> (~wise(lucy) | curious... | 0 |
If alice is either not quiet or not happy then someone is either creative or not old and vice versa.
Everyone who is not brave is both funny and not humble and vice versa.
If john is tall or not wise then someone is not strong.
Everyone who is both not funny and old is kind or rich.
Everyone who is strong or not creati... | Alice is not brave. | contradiction | (((~quiet(alice)<~>~happy(alice)))<=>(?[X]:((creative(X)<~>~old(X)))))&
(![X]:(~brave(X)<=>(funny(X)&~humble(X))))&
(((tall(john)|~wise(john)))=>(?[X]:(~strong(X))))&
(![X]:((~funny(X)&old(X))=>(kind(X)|rich(X))))&
(![X]:((strong(X)|~creative(X))=>patient(X)))&
(![X]:((happy(X)&generous(X))=>(quiet(X)|~patient(X))))&
(... | ~brave(alice) | [
"p1",
"p4",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4969660474561653986310923
% SZS output start Proof for 4969660474561653986310923
2. ! [X0] : (~brave(X0) <=> (~humble(X0) & funny(X0))) [input p1]
5. ! [X0] : ((~creative(X0) | strong(X0)) => patient(X0)) [input p4]
8. ! [X0] : (~humble(X0) <=> (calm(X0) & ~kind(X0))) [input p7]
10. ! [X0... | 0 |
Everyone who is curious or not old is calm.
Everyone who is brave or old is not rich or calm and vice versa.
Everyone who is wise is old or not wise.
If someone is not calm then alice is rich or kind.
If someone is either not rich or brave then john is both not strong and funny.
Everyone who is rich is either not calm ... | Paul is not kind. | neutral | (![X]:((curious(X)|~old(X))=>calm(X)))&
(![X]:((brave(X)|old(X))<=>(~rich(X)|calm(X))))&
(![X]:(wise(X)=>(old(X)|~wise(X))))&
((?[X]:(~calm(X)))=>((rich(alice)|kind(alice))))&
((?[X]:((~rich(X)<~>brave(X))))=>((~strong(john)&funny(john))))&
(![X]:(rich(X)<=>(~calm(X)<~>curious(X))))&
(![X]:((kind(X)<~>funny(X))<=>(humb... | ~kind(paul) | [] | null | 0 |
If paul is not old or rich then someone is either not creative or creative and vice versa. Everyone who is patient or not creative is not kind. Everyone who is both not wise and generous is both not happy and not patient and vice versa. If someone is both not curious and quiet then someone is both funny and calm. Every... | Mary is not kind. | entailment | (((~old(paul)|rich(paul)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((patient(X)|~creative(X))=>~kind(X)))&
(![X]:((~wise(X)&generous(X))<=>(~happy(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~crea... | ~kind(mary) | [
"p1",
"p4",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8159534028330443893511665
% SZS output start Proof for 8159534028330443893511665
2. ! [X0] : ((~creative(X0) | patient(X0)) => ~kind(X0)) [input p1]
5. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p4]
11. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> ~creative(X0)) [input p10]
1... | 0 |
Everyone who is either quiet or not creative is wise and vice versa.
Everyone who is not calm is both not generous and happy and vice versa.
If fred is not old then someone is not creative or brave and vice versa.
Everyone who is curious is not curious or not rich and vice versa.
If alice is not creative then john is k... | Alice is rich. | contradiction | (![X]:((quiet(X)<~>~creative(X))<=>wise(X)))&
(![X]:(~calm(X)<=>(~generous(X)&happy(X))))&
((~old(fred))<=>(?[X]:((~creative(X)|brave(X)))))&
(![X]:(curious(X)<=>(~curious(X)|~rich(X))))&
((~creative(alice))=>((kind(john)|curious(john))))&
(![X]:((brave(X)&wise(X))=>(~patient(X)<~>~strong(X))))&
(![X]:((generous(X)<~>~... | rich(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 33606953300608648811902
% SZS output start Proof for 33606953300608648811902
4. ! [X0] : (curious(X0) <=> (~rich(X0) | ~curious(X0))) [input p3]
24. rich(alice) [input hypothesis]
45. ! [X0] : ((curious(X0) | (rich(X0) & curious(X0))) & ((~rich(X0) | ~curious(X0)) | ~curious(X0))) [nnf tr... | 0 |
Everyone who is either rich or not generous is generous or not humble.
If paul is both not brave and not kind then someone is either strong or patient.
If someone is either not happy or not generous then lucy is not happy or not curious and vice versa.
If someone is humble then someone is not curious or not quiet and v... | Fred is not wise. | neutral | (![X]:((rich(X)<~>~generous(X))=>(generous(X)|~humble(X))))&
(((~brave(paul)&~kind(paul)))=>(?[X]:((strong(X)<~>patient(X)))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>((~happy(lucy)|~curious(lucy))))&
((?[X]:(humble(X)))<=>(?[X]:((~curious(X)|~quiet(X)))))&
(![X]:((brave(X)&calm(X))<=>(~tall(X)|strong(X))))&
(![X]:((pa... | ~wise(fred) | [] | null | 0 |
Everyone who is both not creative and not funny is kind and vice versa. Everyone who is both patient and curious is not tall. Everyone who is brave or humble is not strong and vice versa. If susan is both not humble and brave then someone is both happy and not generous and vice versa. Everyone who is both quiet and not... | Fred is not quiet. | contradiction | (![X]:((~creative(X)&~funny(X))<=>kind(X)))&
(![X]:((patient(X)&curious(X))=>~tall(X)))&
(![X]:((brave(X)|humble(X))<=>~strong(X)))&
(((~humble(susan)&brave(susan)))<=>(?[X]:((happy(X)&~generous(X)))))&
(![X]:((quiet(X)&~quiet(X))<=>(~old(X)|~calm(X))))&
((calm(susan))<=>(kind(fred)))&
(![X]:((wise(X)|~curious(X))=>(st... | ~quiet(fred) | [
"p4",
"p5",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1631455114916678296419339
% SZS output start Proof for 1631455114916678296419339
5. ! [X0] : ((~quiet(X0) & quiet(X0)) <=> (~calm(X0) | ~old(X0))) [input p4]
6. calm(susan) <=> kind(fred) [input p5]
7. ! [X0] : ((~curious(X0) | wise(X0)) => (strong(X0) <~> quiet(X0))) [input p6]
10. ! [X0... | 0 |
If someone is either creative or not brave then someone is either not tall or humble.
If lucy is either not patient or calm then someone is funny and vice versa.
Everyone who is creative or quiet is either old or tall and vice versa.
Everyone who is both not tall and not calm is generous and vice versa.
Everyone who is... | John is old. | entailment | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~tall(X)<~>humble(X)))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]:((~kind(X)&quiet(X))<=>(~generous(X)|kind(X))))&
(!... | old(john) | [
"p2",
"p3",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 427322321930952494986340
% SZS output start Proof for 427322321930952494986340
3. ! [X0] : ((quiet(X0) | creative(X0)) <=> (old(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(X0... | 0 |
Everyone who is either not creative or not humble is both not curious and not humble and vice versa.
Everyone who is both not calm and not tall is old.
Everyone who is both not creative and not rich is not curious.
If someone is either not patient or humble then susan is both generous and kind and vice versa.
If lucy i... | Lucy is not calm. | neutral | (![X]:((~creative(X)<~>~humble(X))<=>(~curious(X)&~humble(X))))&
(![X]:((~calm(X)&~tall(X))=>old(X)))&
(![X]:((~creative(X)&~rich(X))=>~curious(X)))&
((?[X]:((~patient(X)<~>humble(X))))<=>((generous(susan)&kind(susan))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)&brave(X))<=>(~tall(X)&~... | ~calm(lucy) | [] | null | 0 |
Everyone who is wise or not brave is either old or funny.
Everyone who is funny or brave is both not happy and happy.
Everyone who is either calm or tall is not funny or not kind.
If someone is tall then susan is generous.
If someone is both tall and brave then lucy is either old or not patient.
Everyone who is not cal... | John is not happy. | neutral | (![X]:((wise(X)|~brave(X))=>(old(X)<~>funny(X))))&
(![X]:((funny(X)|brave(X))=>(~happy(X)&happy(X))))&
(![X]:((calm(X)<~>tall(X))=>(~funny(X)|~kind(X))))&
((?[X]:(tall(X)))=>(generous(susan)))&
((?[X]:((tall(X)&brave(X))))=>((old(lucy)<~>~patient(lucy))))&
(![X]:(~calm(X)<=>quiet(X)))&
((funny(john))<=>(~wise(paul)))&
... | ~happy(john) | [] | null | 0 |
If alice is both not funny and not happy then someone is either not happy or brave.
Everyone who is not kind is both not humble and not old.
If someone is both funny and not strong then someone is quiet or curious.
Everyone who is wise or kind is both not generous and old.
Everyone who is wise is not wise or patient.
I... | Lucy is old. | contradiction | (((~funny(alice)&~happy(alice)))=>(?[X]:((~happy(X)<~>brave(X)))))&
(![X]:(~kind(X)=>(~humble(X)&~old(X))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((quiet(X)|curious(X)))))&
(![X]:((wise(X)|kind(X))=>(~generous(X)&old(X))))&
(![X]:(wise(X)=>(~wise(X)|patient(X))))&
((?[X]:(~generous(X)))<=>((~generous(susan)<~>old(sus... | old(lucy) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 41523980759189372986786
% SZS output start Proof for 41523980759189372986786
2. ! [X0] : (~kind(X0) => (~old(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((kind(X0) | wise(X0)) => (old(X0) & ~generous(X0))) [input p3]
8. ! [X0] : ((humble(X0) | ~generous(X0)) => (~kind(X0) & quiet(X0))) [in... | 0 |
Everyone who is creative is either strong or old.
If lucy is not creative or not happy then mary is both funny and brave.
Everyone who is not calm or not quiet is humble.
If someone is patient then someone is both not rich and strong and vice versa.
Everyone who is not rich or patient is either generous or not creative... | Susan is brave. | neutral | (![X]:(creative(X)=>(strong(X)<~>old(X))))&
(((~creative(lucy)|~happy(lucy)))=>((funny(mary)&brave(mary))))&
(![X]:((~calm(X)|~quiet(X))=>humble(X)))&
((?[X]:(patient(X)))<=>(?[X]:((~rich(X)&strong(X)))))&
(![X]:((~rich(X)|patient(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(tall(X)))<=>((quiet(fred)<~>brave(fred))))&... | brave(susan) | [] | null | 0 |
If mary is either old or quiet then paul is both not strong and not wise and vice versa. Everyone who is either happy or not calm is kind and vice versa. Everyone who is either quiet or not quiet is both kind and not tall and vice versa. If someone is rich then fred is quiet. If susan is both curious and quiet then joh... | Mary is not creative. | neutral | (((old(mary)<~>quiet(mary)))<=>((~strong(paul)&~wise(paul))))&
(![X]:((happy(X)<~>~calm(X))<=>kind(X)))&
(![X]:((quiet(X)<~>~quiet(X))<=>(kind(X)&~tall(X))))&
((?[X]:(rich(X)))=>(quiet(fred)))&
(((curious(susan)&quiet(susan)))<=>(funny(john)))&
(![X]:((quiet(X)<~>~rich(X))<=>strong(X)))&
(![X]:(quiet(X)<=>(~happy(X)<~>... | ~creative(mary) | [] | null | 0 |
If fred is brave then alice is either quiet or patient and vice versa.
If lucy is both creative and not creative then someone is not quiet and vice versa.
If someone is either not generous or patient then someone is either not brave or calm.
Everyone who is both not kind and curious is either wise or not happy and vice... | John is not funny. | neutral | ((brave(fred))<=>((quiet(alice)<~>patient(alice))))&
(((creative(lucy)&~creative(lucy)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~generous(X)<~>patient(X))))=>(?[X]:((~brave(X)<~>calm(X)))))&
(![X]:((~kind(X)&curious(X))<=>(wise(X)<~>~happy(X))))&
((?[X]:((~generous(X)<~>kind(X))))=>((~happy(mary)&~curious(mary))))&
(![X]:((~c... | ~funny(john) | [] | null | 0 |
If john is not funny or patient then someone is either not strong or not wise.
If alice is either not strong or creative then someone is not creative.
If someone is both not happy and funny then lucy is both not curious and not funny and vice versa.
If someone is both patient and funny then someone is quiet or not pati... | John is patient. | contradiction | (((~funny(john)|patient(john)))=>(?[X]:((~strong(X)<~>~wise(X)))))&
(((~strong(alice)<~>creative(alice)))=>(?[X]:(~creative(X))))&
((?[X]:((~happy(X)&funny(X))))<=>((~curious(lucy)&~funny(lucy))))&
((?[X]:((patient(X)&funny(X))))=>(?[X]:((quiet(X)|~patient(X)))))&
((~humble(mary))=>(?[X]:(~calm(X))))&
(((~strong(john)<... | patient(john) | [
"p0",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2621383404807697196764168
% SZS output start Proof for 2621383404807697196764168
1. (patient(john) | ~funny(john)) => ? [X0] : (~strong(X0) <~> ~wise(X0)) [input p0]
7. ! [X0] : ((~quiet(X0) | rich(X0)) <=> (~calm(X0) & ~humble(X0))) [input p6]
13. ! [X0] : (~humble(X0) => calm(X0)) [inpu... | 0 |
Everyone who is not curious or funny is either not rich or creative.
Everyone who is wise is either not humble or creative and vice versa.
Everyone who is strong is either not happy or happy.
If someone is either quiet or humble then alice is either old or not calm and vice versa.
Everyone who is both not humble and no... | Fred is not strong. | neutral | (![X]:((~curious(X)|funny(X))=>(~rich(X)<~>creative(X))))&
(![X]:(wise(X)<=>(~humble(X)<~>creative(X))))&
(![X]:(strong(X)=>(~happy(X)<~>happy(X))))&
((?[X]:((quiet(X)<~>humble(X))))<=>((old(alice)<~>~calm(alice))))&
(![X]:((~humble(X)&~funny(X))<=>(~calm(X)&humble(X))))&
(((funny(lucy)<~>kind(lucy)))<=>((~kind(mary)|~... | ~strong(fred) | [] | null | 0 |
Everyone who is not calm is old or not kind and vice versa. If someone is not creative or not wise then alice is both not rich and rich and vice versa. Everyone who is not strong or patient is not humble and vice versa. If someone is both old and quiet then someone is both kind and not kind and vice versa. Everyone who... | Susan is not old. | neutral | (![X]:(~calm(X)<=>(old(X)|~kind(X))))&
((?[X]:((~creative(X)|~wise(X))))<=>((~rich(alice)&rich(alice))))&
(![X]:((~strong(X)|patient(X))<=>~humble(X)))&
((?[X]:((old(X)&quiet(X))))<=>(?[X]:((kind(X)&~kind(X)))))&
(![X]:((~funny(X)|~wise(X))=>(~strong(X)<~>quiet(X))))&
(![X]:((brave(X)<~>creative(X))<=>(strong(X)<~>happ... | ~old(susan) | [] | null | 0 |
Everyone who is either strong or quiet is both patient and funny and vice versa.
Everyone who is either curious or brave is either not creative or funny.
Everyone who is not brave is either wise or not generous and vice versa.
If someone is wise or not wise then paul is either not funny or not creative.
Everyone who is... | Mary is not old. | neutral | (![X]:((strong(X)<~>quiet(X))<=>(patient(X)&funny(X))))&
(![X]:((curious(X)<~>brave(X))=>(~creative(X)<~>funny(X))))&
(![X]:(~brave(X)<=>(wise(X)<~>~generous(X))))&
((?[X]:((wise(X)|~wise(X))))=>((~funny(paul)<~>~creative(paul))))&
(![X]:((~calm(X)|brave(X))=>(~tall(X)|kind(X))))&
(![X]:((~funny(X)|calm(X))<=>(humble(X... | ~old(mary) | [] | null | 0 |
Everyone who is either tall or generous is old and vice versa.
If someone is both not creative and brave then alice is both not old and not strong and vice versa.
If lucy is either strong or not funny then fred is kind or patient and vice versa.
If alice is both tall and not calm then someone is both happy and not quie... | Lucy is not happy. | entailment | (![X]:((tall(X)<~>generous(X))<=>old(X)))&
((?[X]:((~creative(X)&brave(X))))<=>((~old(alice)&~strong(alice))))&
(((strong(lucy)<~>~funny(lucy)))<=>((kind(fred)|patient(fred))))&
(((tall(alice)&~calm(alice)))=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:(~tall(X)=>(wise(X)&tall(X))))&
(![X]:(~generous(X)<=>(~wise(X)|tall(X)))... | ~happy(lucy) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6778298359484367807625378
% SZS output start Proof for 6778298359484367807625378
5. ! [X0] : (~tall(X0) => (tall(X0) & wise(X0))) [input p4]
14. ! [X0] : ((happy(X0) | calm(X0)) <=> (~tall(X0) <~> ~happy(X0))) [input p13]
23. happy(lucy) [input hypothesis]
26. ! [X0] : ((tall(X0) & wise(X... | 0 |
Everyone who is tall or not patient is both not quiet and not patient.
Everyone who is both not wise and curious is both not strong and not curious.
If someone is old then someone is both not rich and brave.
If john is both creative and not calm then someone is not curious or kind.
Everyone who is either calm or not qu... | Paul is kind. | neutral | (![X]:((tall(X)|~patient(X))=>(~quiet(X)&~patient(X))))&
(![X]:((~wise(X)&curious(X))=>(~strong(X)&~curious(X))))&
((?[X]:(old(X)))=>(?[X]:((~rich(X)&brave(X)))))&
(((creative(john)&~calm(john)))=>(?[X]:((~curious(X)|kind(X)))))&
(![X]:((calm(X)<~>~quiet(X))<=>wise(X)))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((stron... | kind(paul) | [] | null | 0 |
If someone is not patient then someone is patient. Everyone who is either patient or not rich is old. If mary is either generous or not wise then someone is calm. Everyone who is not quiet or wise is both kind and calm and vice versa. Everyone who is strong or curious is both not generous and not calm. If someone is bo... | Alice is quiet. | entailment | ((?[X]:(~patient(X)))=>(?[X]:(patient(X))))&
(![X]:((patient(X)<~>~rich(X))=>old(X)))&
(((generous(mary)<~>~wise(mary)))=>(?[X]:(calm(X))))&
(![X]:((~quiet(X)|wise(X))<=>(kind(X)&calm(X))))&
(![X]:((strong(X)|curious(X))=>(~generous(X)&~calm(X))))&
((?[X]:((~funny(X)&tall(X))))=>((happy(mary)&~tall(mary))))&
(![X]:(~ki... | quiet(alice) | [
"p3",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3370158009249314915689399
% SZS output start Proof for 3370158009249314915689399
4. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (calm(X0) & kind(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (generous(X0) & funny(X0))) [input p7]
18. funny(alice) <~> kind(alice) [input p17]
24. ~q... | 0 |
Everyone who is not funny or not tall is generous or creative and vice versa.
If alice is not generous or not brave then someone is patient.
If someone is not funny then someone is both wise and not brave.
Everyone who is not curious is funny and vice versa.
Everyone who is both generous and kind is both not wise and n... | John is patient. | entailment | (![X]:((~funny(X)|~tall(X))<=>(generous(X)|creative(X))))&
(((~generous(alice)|~brave(alice)))=>(?[X]:(patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(!... | patient(john) | [
"p3",
"p6",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1032379687880624020752834
% SZS output start Proof for 1032379687880624020752834
4. ! [X0] : (~curious(X0) <=> funny(X0)) [input p3]
7. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (kind(X0) | ~old(X0))) [input p6]
8. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p7]
14. !... | 0 |
If john is strong or not happy then someone is either tall or not brave and vice versa.
If someone is happy or not rich then fred is not curious or not happy and vice versa.
If mary is tall or not old then someone is both wise and not creative.
Everyone who is not patient is both generous and not strong and vice versa.... | Fred is not tall. | neutral | (((strong(john)|~happy(john)))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:((happy(X)|~rich(X))))<=>((~curious(fred)|~happy(fred))))&
(((tall(mary)|~old(mary)))=>(?[X]:((wise(X)&~creative(X)))))&
(![X]:(~patient(X)<=>(generous(X)&~strong(X))))&
(![X]:((~rich(X)<~>old(X))<=>(brave(X)|~curious(X))))&
(((~wise(paul)<~>~gene... | ~tall(fred) | [] | null | 0 |
Everyone who is brave or not creative is either not strong or brave. Everyone who is either not generous or old is either creative or old and vice versa. If alice is both creative and calm then john is either not rich or not brave. Everyone who is not patient or quiet is strong or not curious and vice versa. Everyone w... | John is not old. | contradiction | (![X]:((brave(X)|~creative(X))=>(~strong(X)<~>brave(X))))&
(![X]:((~generous(X)<~>old(X))<=>(creative(X)<~>old(X))))&
(((creative(alice)&calm(alice)))=>((~rich(john)<~>~brave(john))))&
(![X]:((~patient(X)|quiet(X))<=>(strong(X)|~curious(X))))&
(![X]:(~patient(X)<=>(~kind(X)|~brave(X))))&
(![X]:((~humble(X)<~>~funny(X))... | ~old(john) | [
"p0",
"p1",
"p3",
"p4",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5481432454336657241859517
% SZS output start Proof for 5481432454336657241859517
1. ! [X0] : ((~creative(X0) | brave(X0)) => (~strong(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> old(X0)) <=> (creative(X0) <~> old(X0))) [input p1]
4. ! [X0] : ((quiet(X0) | ~patient(X0)) ... | 0 |
If someone is curious then someone is both not generous and calm.
If someone is both not old and rich then fred is either not rich or not patient and vice versa.
If someone is quiet then someone is not generous and vice versa.
Everyone who is both curious and rich is happy or not happy.
Everyone who is both curious and... | Lucy is old. | entailment | ((?[X]:(curious(X)))=>(?[X]:((~generous(X)&calm(X)))))&
((?[X]:((~old(X)&rich(X))))<=>((~rich(fred)<~>~patient(fred))))&
((?[X]:(quiet(X)))<=>(?[X]:(~generous(X))))&
(![X]:((curious(X)&rich(X))=>(happy(X)|~happy(X))))&
(![X]:((curious(X)&~calm(X))<=>~rich(X)))&
(((~calm(john)|quiet(john)))<=>(~tall(lucy)))&
((?[X]:((cr... | old(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2364510982784566379657220
% SZS output start Proof for 2364510982784566379657220
10. ! [X0] : ((brave(X0) | ~old(X0)) => (curious(X0) & ~curious(X0))) [input p9]
23. ~old(lucy) [input hypothesis]
36. ! [X0] : ((curious(X0) & ~curious(X0)) | (~brave(X0) & old(X0))) [ennf transformation 10]... | 0 |
Everyone who is both not creative and curious is both not funny and not calm and vice versa.
If someone is either not humble or not creative then lucy is not kind.
Everyone who is not creative or not generous is patient.
If susan is not patient or not strong then alice is both not rich and not curious and vice versa.
E... | Lucy is not calm. | contradiction | (![X]:((~creative(X)&curious(X))<=>(~funny(X)&~calm(X))))&
((?[X]:((~humble(X)<~>~creative(X))))=>(~kind(lucy)))&
(![X]:((~creative(X)|~generous(X))=>patient(X)))&
(((~patient(susan)|~strong(susan)))<=>((~rich(alice)&~curious(alice))))&
(![X]:((humble(X)<~>tall(X))<=>(~creative(X)<~>creative(X))))&
(((~rich(mary)<~>wis... | ~calm(lucy) | [
"p4",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 180444229214316991648070
% SZS output start Proof for 180444229214316991648070
5. ! [X0] : ((humble(X0) <~> tall(X0)) <=> (~creative(X0) <~> creative(X0))) [input p4]
9. ! [X0] : ((calm(X0) & wise(X0)) <=> (funny(X0) | humble(X0))) [input p8]
12. ! [X0] : ((tall(X0) | curious(X0)) <=> ~ri... | 0 |
Everyone who is not funny or calm is either not generous or not patient and vice versa. Everyone who is both not tall and humble is not tall and vice versa. Everyone who is strong is not kind. If paul is strong or old then someone is either not brave or old and vice versa. If fred is funny then someone is either not ge... | Susan is not calm. | neutral | (![X]:((~funny(X)|calm(X))<=>(~generous(X)<~>~patient(X))))&
(![X]:((~tall(X)&humble(X))<=>~tall(X)))&
(![X]:(strong(X)=>~kind(X)))&
(((strong(paul)|old(paul)))<=>(?[X]:((~brave(X)<~>old(X)))))&
((funny(fred))<=>(?[X]:((~generous(X)<~>~wise(X)))))&
(![X]:((generous(X)&strong(X))<=>(rich(X)|humble(X))))&
(![X]:((patient... | ~calm(susan) | [] | null | 0 |
If someone is happy then john is happy.
Everyone who is not rich or strong is not curious or not calm.
If susan is strong then alice is both kind and not humble.
If someone is either calm or creative then someone is quiet and vice versa.
Everyone who is not creative is either not creative or not tall and vice versa.
Ev... | Paul is not tall. | contradiction | ((?[X]:(happy(X)))=>(happy(john)))&
(![X]:((~rich(X)|strong(X))=>(~curious(X)|~calm(X))))&
((strong(susan))=>((kind(alice)&~humble(alice))))&
((?[X]:((calm(X)<~>creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>~humble(X))=>tall(X)))&
(![X]:((~patient(X)&~creativ... | ~tall(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4461154326618381153266097
% SZS output start Proof for 4461154326618381153266097
5. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> ~tall(X0))) [input p4]
24. ~tall(paul) [input hypothesis]
51. ! [X0] : ((~creative(X0) | ((~creative(X0) | tall(X0)) & (~tall(X0) | creative(X0)))) & (((tall(... | 0 |
Everyone who is both tall and creative is either not humble or humble and vice versa. Everyone who is both creative and quiet is both not brave and not funny and vice versa. If alice is not patient or not humble then john is generous or happy and vice versa. If john is kind then someone is both not funny and curious an... | John is strong. | neutral | (![X]:((tall(X)&creative(X))<=>(~humble(X)<~>humble(X))))&
(![X]:((creative(X)&quiet(X))<=>(~brave(X)&~funny(X))))&
(((~patient(alice)|~humble(alice)))<=>((generous(john)|happy(john))))&
((kind(john))<=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:(~humble(X)<=>(kind(X)<~>old(X))))&
(![X]:((~quiet(X)&~curious(X))=>(~funny(X... | strong(john) | [] | null | 0 |
If someone is not happy then someone is both not tall and patient and vice versa. Everyone who is not tall or not calm is tall or strong. If someone is either happy or not calm then someone is kind or tall. Everyone who is kind is not happy and vice versa. If john is both quiet and funny then someone is either not crea... | Mary is tall. | neutral | ((?[X]:(~happy(X)))<=>(?[X]:((~tall(X)&patient(X)))))&
(![X]:((~tall(X)|~calm(X))=>(tall(X)|strong(X))))&
((?[X]:((happy(X)<~>~calm(X))))=>(?[X]:((kind(X)|tall(X)))))&
(![X]:(kind(X)<=>~happy(X)))&
(((quiet(john)&funny(john)))<=>(?[X]:((~creative(X)<~>humble(X)))))&
((?[X]:(old(X)))<=>((brave(john)&~rich(john))))&
(![X... | tall(mary) | [] | null | 0 |
If someone is funny or not creative then lucy is not brave or rich and vice versa.
Everyone who is either curious or not funny is either not curious or old.
If fred is not happy or brave then susan is generous and vice versa.
Everyone who is either not curious or not generous is either not curious or humble and vice ve... | Fred is old. | contradiction | ((?[X]:((funny(X)|~creative(X))))<=>((~brave(lucy)|rich(lucy))))&
(![X]:((curious(X)<~>~funny(X))=>(~curious(X)<~>old(X))))&
(((~happy(fred)|brave(fred)))<=>(generous(susan)))&
(![X]:((~curious(X)<~>~generous(X))<=>(~curious(X)<~>humble(X))))&
(![X]:((quiet(X)&old(X))=>(patient(X)<~>creative(X))))&
(((~humble(alice)|~q... | old(fred) | [
"p1",
"p6",
"p8",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4377370484902245061140822
% SZS output start Proof for 4377370484902245061140822
2. ! [X0] : ((curious(X0) <~> ~funny(X0)) => (~curious(X0) <~> old(X0))) [input p1]
7. ? [X0] : (patient(X0) & brave(X0)) <=> (tall(fred) & creative(fred)) [input p6]
9. ! [X0] : ((~creative(X0) & ~brave(X0))... | 0 |
Everyone who is not creative or funny is curious and vice versa. If someone is not humble or happy then alice is creative. If alice is not wise or wise then someone is both not creative and humble. Everyone who is calm or not creative is not wise and vice versa. Everyone who is patient is quiet. Everyone who is both cu... | Mary is not calm. | entailment | (![X]:((~creative(X)|funny(X))<=>curious(X)))&
((?[X]:((~humble(X)|happy(X))))=>(creative(alice)))&
(((~wise(alice)|wise(alice)))=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((calm(X)|~creative(X))<=>~wise(X)))&
(![X]:(patient(X)=>quiet(X)))&
(![X]:((curious(X)&~patient(X))<=>(kind(X)<~>~humble(X))))&
(![X]:(quiet(X)<=>... | ~calm(mary) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7676729338063393383398784
% SZS output start Proof for 7676729338063393383398784
8. (~wise(mary) & ~calm(mary)) <=> (~tall(lucy) | patient(lucy)) [input p7]
18. patient(lucy) [input p17]
25. calm(mary) [input hypothesis]
46. ((~wise(mary) & ~calm(mary)) | (tall(lucy) & ~patient(lucy))) & ... | 0 |
Everyone who is either not old or old is either happy or rich.
If paul is calm or tall then mary is calm.
If someone is both not brave and not rich then mary is not calm or curious and vice versa.
If lucy is humble or generous then someone is not generous or creative.
If john is both not rich and kind then someone is b... | Mary is happy. | contradiction | (![X]:((~old(X)<~>old(X))=>(happy(X)<~>rich(X))))&
(((calm(paul)|tall(paul)))=>(calm(mary)))&
((?[X]:((~brave(X)&~rich(X))))<=>((~calm(mary)|curious(mary))))&
(((humble(lucy)|generous(lucy)))=>(?[X]:((~generous(X)|creative(X)))))&
(((~rich(john)&kind(john)))<=>(?[X]:((strong(X)&~kind(X)))))&
((?[X]:(~calm(X)))<=>((wise... | happy(mary) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5670682716315173664350540
% SZS output start Proof for 5670682716315173664350540
1. ! [X0] : ((~old(X0) <~> old(X0)) => (happy(X0) <~> rich(X0))) [input p0]
21. rich(mary) [input p20]
25. happy(mary) [input hypothesis]
27. ! [X0] : ((happy(X0) <~> rich(X0)) | (~old(X0) <=> old(X0))) [ennf... | 0 |
Everyone who is not humble or not funny is happy and vice versa. If someone is not humble then someone is both not generous and not calm and vice versa. Everyone who is not generous or not tall is tall and vice versa. Everyone who is either happy or not humble is both not tall and not curious. If susan is not patient t... | Alice is not rich. | neutral | (![X]:((~humble(X)|~funny(X))<=>happy(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~generous(X)|~tall(X))<=>tall(X)))&
(![X]:((happy(X)<~>~humble(X))=>(~tall(X)&~curious(X))))&
((~patient(susan))=>((rich(alice)<~>~tall(alice))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((strong(X)<~>funny(X)))))... | ~rich(alice) | [] | null | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa.
Everyone who is both tall and wise is not happy and vice versa.
Everyone who is brave or generous is not wise or kind and vice versa.
Everyone who is patient is not curious or strong.
Everyone who is either not funny or creative ... | Susan is not tall. | contradiction | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&wise(X))<=>~happy(X)))&
(![X]:((brave(X)|generous(X))<=>(~wise(X)|kind(X))))&
(![X]:(patient(X)=>(~curious(X)|strong(X))))&
(![X]:((~funny(X)<~>creative(X))<=>(kind(X)<~>~kind(X))))&
((old(mary))=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:((~tall(X... | ~tall(susan) | [
"p0",
"p4",
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8580709154029778535368226
% SZS output start Proof for 8580709154029778535368226
1. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (curious(X0) <~> ~generous(X0))) [input p0]
5. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> (kind(X0) <~> ~kind(X0))) [input p4]
7. ! [X0] : ((calm(X0) & ~tall(X0)) =>... | 0 |
If paul is both not generous and not creative then mary is not brave and vice versa.
If someone is either not humble or not curious then fred is both patient and brave.
Everyone who is not wise is not patient or old and vice versa.
Everyone who is humble or not patient is both strong and not funny and vice versa.
Every... | Alice is not happy. | contradiction | (((~generous(paul)&~creative(paul)))<=>(~brave(mary)))&
((?[X]:((~humble(X)<~>~curious(X))))=>((patient(fred)&brave(fred))))&
(![X]:(~wise(X)<=>(~patient(X)|old(X))))&
(![X]:((humble(X)|~patient(X))<=>(strong(X)&~funny(X))))&
(![X]:((~rich(X)|~kind(X))=>(~kind(X)&happy(X))))&
((?[X]:((old(X)&~creative(X))))=>(happy(luc... | ~happy(alice) | [
"p2",
"p3",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5881752643357666725400537
% SZS output start Proof for 5881752643357666725400537
3. ! [X0] : (~wise(X0) <=> (old(X0) | ~patient(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | humble(X0)) <=> (~funny(X0) & strong(X0))) [input p3]
11. ! [X0] : ((wise(X0) & patient(X0)) => (patient(X0) & ~pat... | 0 |
Everyone who is either old or not brave is quiet and vice versa. If john is both curious and not tall then someone is both not rich and not wise. Everyone who is wise is not old. Everyone who is either kind or not quiet is either calm or funny and vice versa. Everyone who is not strong is both quiet and calm and vice v... | Lucy is kind. | contradiction | (![X]:((old(X)<~>~brave(X))<=>quiet(X)))&
(((curious(john)&~tall(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:((kind(X)<~>~quiet(X))<=>(calm(X)<~>funny(X))))&
(![X]:(~strong(X)<=>(quiet(X)&calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(~strong(X)<~>~happy(X))))&
(((~funny(lucy)<~>patient(lucy)... | kind(lucy) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7353699083041588538197291
% SZS output start Proof for 7353699083041588538197291
4. ! [X0] : ((kind(X0) <~> ~quiet(X0)) <=> (calm(X0) <~> funny(X0))) [input p3]
5. ! [X0] : (~strong(X0) <=> (calm(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~strong(X0) <~> ~ha... | 0 |
If someone is both not tall and generous then paul is not tall.
Everyone who is tall or wise is both old and not creative.
Everyone who is both not curious and not rich is not calm or not creative.
Everyone who is either tall or patient is both not quiet and old and vice versa.
Everyone who is either happy or not gener... | John is not tall. | entailment | ((?[X]:((~tall(X)&generous(X))))=>(~tall(paul)))&
(![X]:((tall(X)|wise(X))=>(old(X)&~creative(X))))&
(![X]:((~curious(X)&~rich(X))=>(~calm(X)|~creative(X))))&
(![X]:((tall(X)<~>patient(X))<=>(~quiet(X)&old(X))))&
(![X]:((happy(X)<~>~generous(X))<=>~kind(X)))&
(![X]:(~old(X)<=>wise(X)))&
(![X]:((quiet(X)|funny(X))<=>(ca... | ~tall(john) | [
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5194631313217161511619580
% SZS output start Proof for 5194631313217161511619580
9. (tall(fred) | calm(fred)) <=> (~tall(john) & ~brave(john)) [input p8]
17. kind(fred) & calm(fred) [input p16]
23. tall(john) [input hypothesis]
39. ((tall(fred) | calm(fred)) | (tall(john) | brave(john))) ... | 0 |
If someone is humble or not generous then someone is rich or not wise.
If someone is both not creative and not curious then mary is brave.
If someone is both brave and wise then someone is either not rich or kind and vice versa.
Everyone who is either not old or not rich is not tall or calm and vice versa.
If someone i... | Fred is patient. | contradiction | ((?[X]:((humble(X)|~generous(X))))=>(?[X]:((rich(X)|~wise(X)))))&
((?[X]:((~creative(X)&~curious(X))))=>(brave(mary)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:((~old(X)<~>~rich(X))<=>(~tall(X)|calm(X))))&
((?[X]:((~brave(X)<~>~kind(X))))<=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:((generous(X)&... | patient(fred) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7158558437419667128152330
% SZS output start Proof for 7158558437419667128152330
4. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (calm(X0) | ~tall(X0))) [input p3]
5. ? [X0] : (~brave(X0) <~> ~kind(X0)) <=> ? [X0] : (kind(X0) & ~kind(X0)) [input p4]
7. ! [X0] : (funny(X0) <=> (~patient(X0) | ~c... | 0 |
Everyone who is both not kind and calm is curious or patient.
If someone is both not old and humble then someone is not patient and vice versa.
Everyone who is not generous is rich or not tall.
If someone is either rich or not brave then someone is either not rich or not quiet and vice versa.
If alice is either wise or... | John is creative. | neutral | (![X]:((~kind(X)&calm(X))=>(curious(X)|patient(X))))&
((?[X]:((~old(X)&humble(X))))<=>(?[X]:(~patient(X))))&
(![X]:(~generous(X)=>(rich(X)|~tall(X))))&
((?[X]:((rich(X)<~>~brave(X))))<=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(((wise(alice)<~>rich(alice)))=>((humble(susan)|creative(susan))))&
(((~tall(susan)&creative(susan))... | creative(john) | [] | null | 0 |
Everyone who is humble or not generous is not wise or not humble and vice versa. If someone is calm or not quiet then john is calm or humble and vice versa. If someone is either patient or humble then alice is both quiet and rich. Everyone who is not curious is either not quiet or not brave. Everyone who is either not ... | Susan is quiet. | neutral | (![X]:((humble(X)|~generous(X))<=>(~wise(X)|~humble(X))))&
((?[X]:((calm(X)|~quiet(X))))<=>((calm(john)|humble(john))))&
((?[X]:((patient(X)<~>humble(X))))=>((quiet(alice)&rich(alice))))&
(![X]:(~curious(X)=>(~quiet(X)<~>~brave(X))))&
(![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creativ... | quiet(susan) | [] | null | 0 |
If someone is not creative then someone is wise or calm. If mary is both patient and creative then someone is old or curious. Everyone who is not funny is both creative and not creative. If someone is kind then someone is not kind or curious. Everyone who is both not wise and quiet is both not quiet and not rich. Every... | Lucy is humble. | entailment | ((?[X]:(~creative(X)))=>(?[X]:((wise(X)|calm(X)))))&
(((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X)))... | humble(lucy) | [
"p4",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 408977063974281080989459
% SZS output start Proof for 408977063974281080989459
5. ! [X0] : ((quiet(X0) & ~wise(X0)) => (~rich(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : ((kind(X0) | generous(X0)) => (creative(X0) & ~kind(X0))) [input p6]
9. ? [X0] : (~tall(X0) | wise(X0)) => humble(lucy) [... | 0 |
If someone is both calm and kind then fred is either patient or not calm. If fred is brave then susan is both not strong and not generous. Everyone who is both not old and funny is strong or not wise. Everyone who is either not strong or brave is rich or not wise and vice versa. Everyone who is brave is both patient an... | Paul is not kind. | contradiction | ((?[X]:((calm(X)&kind(X))))=>((patient(fred)<~>~calm(fred))))&
((brave(fred))=>((~strong(susan)&~generous(susan))))&
(![X]:((~old(X)&funny(X))=>(strong(X)|~wise(X))))&
(![X]:((~strong(X)<~>brave(X))<=>(rich(X)|~wise(X))))&
(![X]:(brave(X)<=>(patient(X)&~kind(X))))&
((?[X]:((~funny(X)&~humble(X))))<=>((~calm(mary)<~>~pa... | ~kind(paul) | [
"p3",
"p7",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7190510140938072959797025
% SZS output start Proof for 7190510140938072959797025
4. ! [X0] : ((~strong(X0) <~> brave(X0)) <=> (~wise(X0) | rich(X0))) [input p3]
8. ! [X0] : ((~brave(X0) <~> strong(X0)) => (~brave(X0) <~> ~kind(X0))) [input p7]
10. ! [X0] : ((tall(X0) | ~generous(X0)) <=> ... | 0 |
Everyone who is not humble is both not quiet and old.
Everyone who is generous or curious is not curious.
If someone is funny then someone is old or strong.
Everyone who is either rich or creative is either not quiet or calm and vice versa.
Everyone who is both not tall and not humble is not kind or humble.
If someone ... | Mary is not old. | contradiction | (![X]:(~humble(X)=>(~quiet(X)&old(X))))&
(![X]:((generous(X)|curious(X))=>~curious(X)))&
((?[X]:(funny(X)))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((rich(X)<~>creative(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((~tall(X)&~humble(X))=>(~kind(X)|humble(X))))&
((?[X]:((~rich(X)&curious(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~brave(... | ~old(mary) | [
"p0",
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7690376605044931670912888
% SZS output start Proof for 7690376605044931670912888
1. ! [X0] : (~humble(X0) => (old(X0) & ~quiet(X0))) [input p0]
2. ! [X0] : ((curious(X0) | generous(X0)) => ~curious(X0)) [input p1]
12. ! [X0] : (~curious(X0) <=> (~quiet(X0) & ~humble(X0))) [input p11]
22. ... | 0 |
If fred is both not funny and patient then mary is brave or not calm.
If susan is strong or humble then lucy is old or creative.
If someone is tall then john is happy or not brave.
Everyone who is generous is not tall.
If someone is curious or not quiet then susan is either not funny or not wise.
Everyone who is both n... | Fred is old. | neutral | (((~funny(fred)&patient(fred)))=>((brave(mary)|~calm(mary))))&
(((strong(susan)|humble(susan)))=>((old(lucy)|creative(lucy))))&
((?[X]:(tall(X)))=>((happy(john)|~brave(john))))&
(![X]:(generous(X)=>~tall(X)))&
((?[X]:((curious(X)|~quiet(X))))=>((~funny(susan)<~>~wise(susan))))&
(![X]:((~old(X)&~tall(X))<=>~generous(X))... | old(fred) | [] | null | 0 |
If someone is either not wise or calm then someone is not creative or not tall. If someone is either tall or not humble then someone is not rich. Everyone who is not tall or funny is either not happy or not wise. If someone is kind then someone is brave. If someone is brave then someone is either not strong or not kind... | Paul is not wise. | entailment | ((?[X]:((~wise(X)<~>calm(X))))=>(?[X]:((~creative(X)|~tall(X)))))&
((?[X]:((tall(X)<~>~humble(X))))=>(?[X]:(~rich(X))))&
(![X]:((~tall(X)|funny(X))=>(~happy(X)<~>~wise(X))))&
((?[X]:(kind(X)))=>(?[X]:(brave(X))))&
((?[X]:(brave(X)))=>(?[X]:((~strong(X)<~>~kind(X)))))&
(![X]:((~patient(X)|~wise(X))=>~generous(X)))&
(((~... | ~wise(paul) | [
"p2",
"p6",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5680098423791016794309666
% SZS output start Proof for 5680098423791016794309666
3. ! [X0] : ((funny(X0) | ~tall(X0)) => (~happy(X0) <~> ~wise(X0))) [input p2]
7. (~curious(paul) & ~strong(paul)) <=> (rich(john) | ~rich(john)) [input p6]
12. ! [X0] : (~funny(X0) <=> (curious(X0) & humble(... | 0 |
Everyone who is both not rich and not humble is not patient and vice versa. If someone is not calm then paul is both rich and calm and vice versa. If someone is humble then someone is not happy. If someone is not quiet then someone is rich and vice versa. Everyone who is either not funny or strong is not generous. Ever... | Fred is not funny. | neutral | (![X]:((~rich(X)&~humble(X))<=>~patient(X)))&
((?[X]:(~calm(X)))<=>((rich(paul)&calm(paul))))&
((?[X]:(humble(X)))=>(?[X]:(~happy(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(rich(X))))&
(![X]:((~funny(X)<~>strong(X))=>~generous(X)))&
(![X]:(curious(X)<=>rich(X)))&
(![X]:((creative(X)|~brave(X))=>(~humble(X)<~>rich(X))))&
(![X]... | ~funny(fred) | [] | null | 0 |
Everyone who is not tall or not quiet is either patient or kind and vice versa.
If john is either old or funny then someone is both old and not quiet and vice versa.
Everyone who is both strong and wise is not patient or not old and vice versa.
If someone is patient or not curious then susan is not happy or not wise an... | Alice is tall. | contradiction | (![X]:((~tall(X)|~quiet(X))<=>(patient(X)<~>kind(X))))&
(((old(john)<~>funny(john)))<=>(?[X]:((old(X)&~quiet(X)))))&
(![X]:((strong(X)&wise(X))<=>(~patient(X)|~old(X))))&
((?[X]:((patient(X)|~curious(X))))<=>((~happy(susan)|~wise(susan))))&
(![X]:((~patient(X)&~generous(X))=>~generous(X)))&
(((generous(mary)&strong(mar... | tall(alice) | [
"p0",
"p2",
"p7",
"p8",
"p9",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2894032688256321028258932
% SZS output start Proof for 2894032688256321028258932
1. ! [X0] : ((~quiet(X0) | ~tall(X0)) <=> (patient(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((wise(X0) & strong(X0)) <=> (~old(X0) | ~patient(X0))) [input p2]
8. ! [X0] : ((~tall(X0) | ~creative(X0)) => kind... | 0 |
If someone is both not strong and not old then paul is either not humble or tall and vice versa.
Everyone who is rich is either humble or calm and vice versa.
Everyone who is brave is funny and vice versa.
Everyone who is either not old or kind is both funny and curious.
If alice is humble or not kind then someone is e... | Alice is wise. | contradiction | ((?[X]:((~strong(X)&~old(X))))<=>((~humble(paul)<~>tall(paul))))&
(![X]:(rich(X)<=>(humble(X)<~>calm(X))))&
(![X]:(brave(X)<=>funny(X)))&
(![X]:((~old(X)<~>kind(X))=>(funny(X)&curious(X))))&
(((humble(alice)|~kind(alice)))=>(?[X]:((curious(X)<~>tall(X)))))&
(![X]:((~humble(X)|calm(X))=>(~strong(X)<~>quiet(X))))&
((?[X]... | wise(alice) | [
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3681678738455230758927028
% SZS output start Proof for 3681678738455230758927028
7. ? [X0] : (generous(X0) | ~curious(X0)) => ? [X0] : (~kind(X0) & ~brave(X0)) [input p6]
10. ! [X0] : ((strong(X0) | ~kind(X0)) <=> (~brave(X0) <~> ~kind(X0))) [input p9]
13. ! [X0] : (~wise(X0) <=> ~generou... | 0 |
If someone is happy or not old then lucy is both not happy and old.
Everyone who is either brave or rich is either tall or brave.
Everyone who is both not humble and not funny is either not humble or tall.
Everyone who is not patient is either patient or not humble and vice versa.
Everyone who is not calm or not happy ... | John is not old. | neutral | ((?[X]:((happy(X)|~old(X))))=>((~happy(lucy)&old(lucy))))&
(![X]:((brave(X)<~>rich(X))=>(tall(X)<~>brave(X))))&
(![X]:((~humble(X)&~funny(X))=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(patient(X)<~>~humble(X))))&
(![X]:((~calm(X)|~happy(X))<=>(~wise(X)|calm(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(creative(X)&~old(... | ~old(john) | [] | null | 0 |
Everyone who is not funny is both patient and not old and vice versa. Everyone who is humble is either not tall or not old. If someone is not old then someone is either not brave or quiet and vice versa. Everyone who is old is both wise and not rich and vice versa. Everyone who is patient or old is both quiet and not k... | Fred is not funny. | contradiction | (![X]:(~funny(X)<=>(patient(X)&~old(X))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:((~patient(X)|~wise(X))<=>(quiet(X)<~>old(X))))&
(![X]:((~calm(X)&calm(X))=>(calm(X)<~... | ~funny(fred) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3233177740747545425954912
% SZS output start Proof for 3233177740747545425954912
1. ! [X0] : (~funny(X0) <=> (~old(X0) & patient(X0))) [input p0]
5. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> (quiet(X0) <~> old(X0))... | 0 |
Everyone who is funny is quiet.
If mary is either humble or happy then susan is either wise or brave.
If mary is not happy then someone is not wise or not rich.
If someone is not happy then someone is brave or not quiet.
Everyone who is brave or strong is either not creative or not humble.
Everyone who is strong or not... | Paul is tall. | contradiction | (![X]:(funny(X)=>quiet(X)))&
(((humble(mary)<~>happy(mary)))=>((wise(susan)<~>brave(susan))))&
((~happy(mary))=>(?[X]:((~wise(X)|~rich(X)))))&
((?[X]:(~happy(X)))=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((brave(X)|strong(X))=>(~creative(X)<~>~humble(X))))&
(![X]:((strong(X)|~wise(X))<=>(patient(X)&~brave(X))))&
(((~quie... | tall(paul) | [
"p8",
"p10",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 753775196461768508418530
% SZS output start Proof for 753775196461768508418530
9. ! [X0] : ((~old(X0) | ~rich(X0)) => ~funny(X0)) [input p8]
11. ! [X0] : ((~calm(X0) & curious(X0)) <=> (curious(X0) | rich(X0))) [input p10]
12. ! [X0] : ((rich(X0) | brave(X0)) => (quiet(X0) & ~quiet(X0))) ... | 0 |
Everyone who is both not strong and patient is either funny or not humble.
Everyone who is both not strong and calm is either wise or not brave and vice versa.
If susan is either not old or not brave then someone is brave and vice versa.
Everyone who is kind is not generous and vice versa.
Everyone who is not generous ... | Susan is not humble. | entailment | (![X]:((~strong(X)&patient(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~strong(X)&calm(X))<=>(wise(X)<~>~brave(X))))&
(((~old(susan)<~>~brave(susan)))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:(~generous(X)=>(humble(X)|tall(X))))&
((?[X]:((~quiet(X)&~tall(X))))<=>(?[X]:((~rich(X)&creative(X)))))&
((?[X]:... | ~humble(susan) | [
"p2",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3848570629654137484941163
% SZS output start Proof for 3848570629654137484941163
3. (~old(susan) <~> ~brave(susan)) <=> ? [X0] : brave(X0) [input p2]
9. ! [X0] : (funny(X0) <=> (brave(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((tall(X0) | happy(X0)) <=> ~tall(X0)) [input p9]
13. ! [X0] :... | 0 |
If someone is both humble and funny then someone is either not generous or happy.
If someone is calm or not funny then mary is not calm.
If lucy is either not happy or not wise then someone is not strong or not quiet.
Everyone who is both curious and generous is funny or not strong and vice versa.
Everyone who is eithe... | Paul is generous. | entailment | ((?[X]:((humble(X)&funny(X))))=>(?[X]:((~generous(X)<~>happy(X)))))&
((?[X]:((calm(X)|~funny(X))))=>(~calm(mary)))&
(((~happy(lucy)<~>~wise(lucy)))=>(?[X]:((~strong(X)|~quiet(X)))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>strong(X))=>(~curious(X)&funny(X))))&
(((~rich(john)|~old(j... | generous(paul) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3160081704494486718514563
% SZS output start Proof for 3160081704494486718514563
4. ! [X0] : ((generous(X0) & curious(X0)) <=> (~strong(X0) | funny(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> strong(X0)) => (funny(X0) & ~curious(X0))) [input p4]
7. ! [X0] : ((old(X0) & ~creative(X0)) <=>... | 0 |
Everyone who is both not rich and not quiet is either not brave or creative and vice versa.
If someone is quiet then lucy is both happy and not happy and vice versa.
Everyone who is not tall or not wise is both funny and old.
If fred is not quiet or not kind then paul is either not wise or not curious and vice versa.
E... | Mary is rich. | entailment | (![X]:((~rich(X)&~quiet(X))<=>(~brave(X)<~>creative(X))))&
((?[X]:(quiet(X)))<=>((happy(lucy)&~happy(lucy))))&
(![X]:((~tall(X)|~wise(X))=>(funny(X)&old(X))))&
(((~quiet(fred)|~kind(fred)))<=>((~wise(paul)<~>~curious(paul))))&
(![X]:((generous(X)&wise(X))<=>(~tall(X)|funny(X))))&
(![X]:((old(X)<~>creative(X))<=>(~rich(... | rich(mary) | [
"p1",
"p4",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6399093848471151851981714
% SZS output start Proof for 6399093848471151851981714
2. ? [X0] : quiet(X0) <=> (~happy(lucy) & happy(lucy)) [input p1]
5. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) | ~tall(X0))) [input p4]
8. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> (~strong(X0) <~> ... | 0 |
If someone is creative or not creative then someone is not humble and vice versa. Everyone who is both not tall and wise is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan i... | Alice is strong. | contradiction | ((?[X]:((creative(X)|~creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)&wise(X))<=>(~old(X)|~kind(X))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(ali... | strong(alice) | [
"p1",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2397623887822365960138093
% SZS output start Proof for 2397623887822365960138093
2. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (~kind(X0) | ~old(X0))) [input p1]
9. ! [X0] : (kind(X0) => (~strong(X0) & rich(X0))) [input p8]
17. tall(alice) <~> ~strong(alice) [input p16]
25. strong(alice) [input... | 0 |
If alice is both generous and not curious then lucy is not tall and vice versa.
If fred is either not creative or curious then paul is either not happy or not tall and vice versa.
Everyone who is wise is generous or not wise and vice versa.
If someone is both rich and brave then someone is not creative and vice versa.
... | John is not happy. | neutral | (((generous(alice)&~curious(alice)))<=>(~tall(lucy)))&
(((~creative(fred)<~>curious(fred)))<=>((~happy(paul)<~>~tall(paul))))&
(![X]:(wise(X)<=>(generous(X)|~wise(X))))&
((?[X]:((rich(X)&brave(X))))<=>(?[X]:(~creative(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((tall(X)&strong(X)))))&
((?[X]:((brave(X)&humble(X))))<=>(?[X]:((... | ~happy(john) | [] | null | 0 |
Everyone who is both wise and generous is both rich and not creative and vice versa.
Everyone who is creative or not curious is both not humble and not kind.
If someone is curious or not quiet then someone is not kind.
Everyone who is wise is both curious and creative.
If mary is happy or not quiet then someone is both... | Mary is humble. | contradiction | (![X]:((wise(X)&generous(X))<=>(rich(X)&~creative(X))))&
(![X]:((creative(X)|~curious(X))=>(~humble(X)&~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:(~kind(X))))&
(![X]:(wise(X)=>(curious(X)&creative(X))))&
(((happy(mary)|~quiet(mary)))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:((~wise(X)&~calm(X))))=>((~wise(john)<~>... | humble(mary) | [
"p1",
"p6",
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5602403907948263740672399
% SZS output start Proof for 5602403907948263740672399
2. ! [X0] : ((~curious(X0) | creative(X0)) => (~kind(X0) & ~humble(X0))) [input p1]
7. ? [X0] : (humble(X0) | ~quiet(X0)) <=> (~patient(lucy) & tall(lucy)) [input p6]
9. ! [X0] : ((rich(X0) & ~rich(X0)) <=> (... | 0 |
If paul is either not quiet or not kind then someone is either old or rich. Everyone who is rich is not calm. If someone is both patient and not curious then someone is not calm or not happy and vice versa. If someone is rich then lucy is both funny and not quiet and vice versa. Everyone who is tall is not humble or ta... | Lucy is happy. | neutral | (((~quiet(paul)<~>~kind(paul)))=>(?[X]:((old(X)<~>rich(X)))))&
(![X]:(rich(X)=>~calm(X)))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:((~calm(X)|~happy(X)))))&
((?[X]:(rich(X)))<=>((funny(lucy)&~quiet(lucy))))&
(![X]:(tall(X)=>(~humble(X)|tall(X))))&
(![X]:((~calm(X)|~tall(X))=>(tall(X)|generous(X))))&
((?[X]:((quiet(X... | happy(lucy) | [] | null | 0 |
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