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 calm is quiet or not creative and vice versa.
Everyone who is not humble is both funny and rich.
If someone is either humble or not curious then alice is both not humble and not curious and vice versa.
If someone is both not humble and not kind then john is not old or rich and vice versa.
Everyone who i... | Paul is not brave. | entailment | (![X]:(calm(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)=>(funny(X)&rich(X))))&
((?[X]:((humble(X)<~>~curious(X))))<=>((~humble(alice)&~curious(alice))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(john)|rich(john))))&
(![X]:(rich(X)=>(wise(X)|~patient(X))))&
(![X]:((patient(X)<~>~patient(X))<=>(~generous(X)|~wise(X... | ~brave(paul) | [
"p1",
"p5",
"p7",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 972658721229882462488710
% SZS output start Proof for 972658721229882462488710
2. ! [X0] : (~humble(X0) => (rich(X0) & funny(X0))) [input p1]
6. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (~wise(X0) | ~generous(X0))) [input p5]
8. ! [X0] : (~wise(X0) <=> (old(X0) | rich(X0))) [input p7]... | 0 |
Everyone who is wise or not patient is kind or not strong. Everyone who is not generous or not creative is calm. Everyone who is not generous or not kind is not kind and vice versa. If someone is calm then john is wise and vice versa. If someone is either not wise or not kind then someone is not humble or humble and vi... | John is generous. | neutral | (![X]:((wise(X)|~patient(X))=>(kind(X)|~strong(X))))&
(![X]:((~generous(X)|~creative(X))=>calm(X)))&
(![X]:((~generous(X)|~kind(X))<=>~kind(X)))&
((?[X]:(calm(X)))<=>(wise(john)))&
((?[X]:((~wise(X)<~>~kind(X))))<=>(?[X]:((~humble(X)|humble(X)))))&
(![X]:((happy(X)&calm(X))<=>(funny(X)&~tall(X))))&
((?[X]:((humble(X)&~... | generous(john) | [] | null | 0 |
Everyone who is both not kind and kind is not kind and vice versa.
Everyone who is both kind and brave is humble or tall.
If someone is not rich then fred is either generous or not old and vice versa.
If someone is both not patient and not humble then someone is rich and vice versa.
If john is either not calm or humble... | Susan is not calm. | contradiction | (![X]:((~kind(X)&kind(X))<=>~kind(X)))&
(![X]:((kind(X)&brave(X))=>(humble(X)|tall(X))))&
((?[X]:(~rich(X)))<=>((generous(fred)<~>~old(fred))))&
((?[X]:((~patient(X)&~humble(X))))<=>(?[X]:(rich(X))))&
(((~calm(john)<~>humble(john)))=>(?[X]:((humble(X)<~>quiet(X)))))&
(![X]:((creative(X)&calm(X))=>(old(X)<~>creative(X))... | ~calm(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5918344913034043694832280
% SZS output start Proof for 5918344913034043694832280
23. calm(susan) & funny(susan) [input p22]
24. ~calm(susan) [input hypothesis]
143. calm(susan) [cnf transformation 23]
144. ~calm(susan) [cnf transformation 24]
340. $false [subsumption resolution 144,143]
%... | 0 |
Everyone who is tall or old is either quiet or not quiet and vice versa.
If someone is not funny or not curious then paul is not wise.
Everyone who is not generous or not tall is either curious or not calm.
If someone is both brave and not strong then lucy is not creative and vice versa.
Everyone who is not tall or tal... | Lucy is not generous. | neutral | (![X]:((tall(X)|old(X))<=>(quiet(X)<~>~quiet(X))))&
((?[X]:((~funny(X)|~curious(X))))=>(~wise(paul)))&
(![X]:((~generous(X)|~tall(X))=>(curious(X)<~>~calm(X))))&
((?[X]:((brave(X)&~strong(X))))<=>(~creative(lucy)))&
(![X]:((~tall(X)|tall(X))=>~strong(X)))&
(![X]:((wise(X)&~happy(X))<=>(~quiet(X)|wise(X))))&
((?[X]:((~w... | ~generous(lucy) | [] | null | 0 |
If paul is both generous and funny then someone is not kind or not curious. Everyone who is humble is not rich and vice versa. Everyone who is not rich is either not wise or happy. If lucy is not quiet then fred is either not generous or tall. If someone is not patient then someone is not wise. Everyone who is not quie... | Paul is not old. | contradiction | (((generous(paul)&funny(paul)))=>(?[X]:((~kind(X)|~curious(X)))))&
(![X]:(humble(X)<=>~rich(X)))&
(![X]:(~rich(X)=>(~wise(X)<~>happy(X))))&
((~quiet(lucy))=>((~generous(fred)<~>tall(fred))))&
((?[X]:(~patient(X)))=>(?[X]:(~wise(X))))&
(![X]:(~quiet(X)<=>generous(X)))&
(![X]:((~curious(X)|~funny(X))<=>(~kind(X)&~brave(X... | ~old(paul) | [
"p1",
"p6",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 96063679423625725961794
% SZS output start Proof for 96063679423625725961794
2. ! [X0] : (humble(X0) <=> ~rich(X0)) [input p1]
7. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (~brave(X0) & ~kind(X0))) [input p6]
13. ! [X0] : ((~humble(X0) <~> ~brave(X0)) => (old(X0) <~> rich(X0))) [input p12... | 0 |
If alice is either not tall or not old then someone is curious or not calm.
Everyone who is not patient or wise is patient or creative and vice versa.
If paul is not old or patient then someone is creative or brave and vice versa.
If alice is not rich or not generous then someone is patient and vice versa.
If someone i... | Paul is tall. | entailment | (((~tall(alice)<~>~old(alice)))=>(?[X]:((curious(X)|~calm(X)))))&
(![X]:((~patient(X)|wise(X))<=>(patient(X)|creative(X))))&
(((~old(paul)|patient(paul)))<=>(?[X]:((creative(X)|brave(X)))))&
(((~rich(alice)|~generous(alice)))<=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((ki... | tall(paul) | [
"p2",
"p10",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3122943592877381082401675
% SZS output start Proof for 3122943592877381082401675
3. (patient(paul) | ~old(paul)) <=> ? [X0] : (brave(X0) | creative(X0)) [input p2]
11. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~calm(X0) & ~patient(X0))) [input p10]
12. ! [X0] : ((~old(X0) | wise(X0)) =>... | 0 |
If someone is not humble then someone is not rich and vice versa.
If john is creative then someone is wise or strong and vice versa.
Everyone who is not generous or not tall is rich or not brave and vice versa.
Everyone who is not patient or not old is either wise or tall.
Everyone who is not funny or funny is not funn... | John is not creative. | contradiction | ((?[X]:(~humble(X)))<=>(?[X]:(~rich(X))))&
((creative(john))<=>(?[X]:((wise(X)|strong(X)))))&
(![X]:((~generous(X)|~tall(X))<=>(rich(X)|~brave(X))))&
(![X]:((~patient(X)|~old(X))=>(wise(X)<~>tall(X))))&
(![X]:((~funny(X)|funny(X))<=>(~funny(X)|old(X))))&
(![X]:((~wise(X)&creative(X))<=>(wise(X)<~>kind(X))))&
(((kind(jo... | ~creative(john) | [
"p1",
"p2",
"p3",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7278067536094695573813171
% SZS output start Proof for 7278067536094695573813171
2. creative(john) <=> ? [X0] : (strong(X0) | wise(X0)) [input p1]
3. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> (~brave(X0) | rich(X0))) [input p2]
4. ! [X0] : ((~old(X0) | ~patient(X0)) => (wise(X0) <~> tall(... | 0 |
If mary is quiet then lucy is not quiet or patient.
If john is either curious or not brave then someone is either not brave or funny and vice versa.
If someone is either not calm or not creative then john is either patient or not old.
If alice is either curious or humble then someone is either not calm or quiet.
Everyo... | Mary is not calm. | contradiction | ((quiet(mary))=>((~quiet(lucy)|patient(lucy))))&
(((curious(john)<~>~brave(john)))<=>(?[X]:((~brave(X)<~>funny(X)))))&
((?[X]:((~calm(X)<~>~creative(X))))=>((patient(john)<~>~old(john))))&
(((curious(alice)<~>humble(alice)))=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(strong(X)<=>(~patient(X)|rich(X))))&
(![X]:((kind(X)&~... | ~calm(mary) | [
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3368479630475238456807932
% SZS output start Proof for 3368479630475238456807932
8. ! [X0] : ((~old(X0) <~> ~humble(X0)) => calm(X0)) [input p7]
11. ? [X0] : (curious(X0) | rich(X0)) <=> (~old(mary) <~> ~humble(mary)) [input p10]
19. ? [X0] : (rich(X0) & kind(X0)) [input p18]
25. ~calm(ma... | 0 |
If susan is funny or not creative then someone is not strong and vice versa.
If someone is both not funny and rich then someone is both not quiet and not happy.
If fred is tall or kind then paul is both quiet and funny and vice versa.
If someone is happy or not happy then fred is both not happy and brave.
Everyone who ... | Susan is generous. | neutral | (((funny(susan)|~creative(susan)))<=>(?[X]:(~strong(X))))&
((?[X]:((~funny(X)&rich(X))))=>(?[X]:((~quiet(X)&~happy(X)))))&
(((tall(fred)|kind(fred)))<=>((quiet(paul)&funny(paul))))&
((?[X]:((happy(X)|~happy(X))))=>((~happy(fred)&brave(fred))))&
(![X]:((~tall(X)|~old(X))=>(brave(X)&~funny(X))))&
((wise(paul))<=>((~gener... | generous(susan) | [] | null | 0 |
Everyone who is wise is kind or creative and vice versa.
If john is not rich then someone is kind or wise.
If someone is not generous then someone is both strong and curious and vice versa.
Everyone who is tall or strong is either patient or curious.
If someone is patient then lucy is rich or not patient.
Everyone who ... | Mary is strong. | contradiction | (![X]:(wise(X)<=>(kind(X)|creative(X))))&
((~rich(john))=>(?[X]:((kind(X)|wise(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((tall(X)|strong(X))=>(patient(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((rich(lucy)|~patient(lucy))))&
(![X]:(~patient(X)<=>(curious(X)|wise(X))))&
(![X]:((~kind(X)&o... | strong(mary) | [
"p0",
"p3",
"p5",
"p8",
"p11",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8244762847062189562705112
% SZS output start Proof for 8244762847062189562705112
1. ! [X0] : (wise(X0) <=> (creative(X0) | kind(X0))) [input p0]
4. ! [X0] : ((strong(X0) | tall(X0)) => (patient(X0) <~> curious(X0))) [input p3]
6. ! [X0] : (~patient(X0) <=> (wise(X0) | curious(X0))) [input... | 0 |
If someone is either not old or humble then someone is both curious and creative.
If susan is both not humble and not brave then someone is either not creative or kind and vice versa.
Everyone who is curious is either curious or tall and vice versa.
Everyone who is both creative and wise is creative or patient and vice... | John is creative. | entailment | ((?[X]:((~old(X)<~>humble(X))))=>(?[X]:((curious(X)&creative(X)))))&
(((~humble(susan)&~brave(susan)))<=>(?[X]:((~creative(X)<~>kind(X)))))&
(![X]:(curious(X)<=>(curious(X)<~>tall(X))))&
(![X]:((creative(X)&wise(X))<=>(creative(X)|patient(X))))&
(((~funny(fred)&curious(fred)))<=>((~brave(lucy)|~generous(lucy))))&
((?[X... | creative(john) | [
"p2",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6869408149203825153434996
% SZS output start Proof for 6869408149203825153434996
3. ! [X0] : (curious(X0) <=> (curious(X0) <~> tall(X0))) [input p2]
7. ! [X0] : ((~funny(X0) | ~creative(X0)) => (curious(X0) & funny(X0))) [input p6]
11. ? [X0] : (~wise(X0) & ~brave(X0)) <=> ? [X0] : curiou... | 0 |
Everyone who is both not happy and humble is not old or not calm and vice versa. Everyone who is either old or not old is not tall or not strong and vice versa. If someone is both not old and kind then someone is either strong or happy and vice versa. If fred is not tall then someone is both patient and not creative. I... | Fred is not creative. | neutral | (![X]:((~happy(X)&humble(X))<=>(~old(X)|~calm(X))))&
(![X]:((old(X)<~>~old(X))<=>(~tall(X)|~strong(X))))&
((?[X]:((~old(X)&kind(X))))<=>(?[X]:((strong(X)<~>happy(X)))))&
((~tall(fred))=>(?[X]:((patient(X)&~creative(X)))))&
(((~strong(mary)&~humble(mary)))=>(kind(john)))&
(((creative(mary)<~>~quiet(mary)))<=>(happy(john... | ~creative(fred) | [] | null | 0 |
If john is not happy or not brave then someone is tall or calm.
If alice is brave or curious then lucy is either not tall or calm.
Everyone who is either not calm or humble is not creative or creative and vice versa.
Everyone who is both tall and not strong is both tall and not generous.
Everyone who is both calm and r... | Lucy is not tall. | contradiction | (((~happy(john)|~brave(john)))=>(?[X]:((tall(X)|calm(X)))))&
(((brave(alice)|curious(alice)))=>((~tall(lucy)<~>calm(lucy))))&
(![X]:((~calm(X)<~>humble(X))<=>(~creative(X)|creative(X))))&
(![X]:((tall(X)&~strong(X))=>(tall(X)&~generous(X))))&
(![X]:((calm(X)&rich(X))<=>(~old(X)|generous(X))))&
(![X]:((kind(X)<~>~wise(X... | ~tall(lucy) | [
"p1",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 194142885861044264421277
% SZS output start Proof for 194142885861044264421277
2. (curious(alice) | brave(alice)) => (~tall(lucy) <~> calm(lucy)) [input p1]
6. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> wise(X0)) [input p5]
8. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> (~kind(X0) & happy(X0))) [i... | 0 |
If alice is creative or strong then alice is not generous or kind and vice versa.
Everyone who is both not creative and curious is kind and vice versa.
Everyone who is not happy or wise is both old and not patient and vice versa.
If john is not calm then someone is both not wise and not tall.
If susan is either not hap... | Alice is not happy. | contradiction | (((creative(alice)|strong(alice)))<=>((~generous(alice)|kind(alice))))&
(![X]:((~creative(X)&curious(X))<=>kind(X)))&
(![X]:((~happy(X)|wise(X))<=>(old(X)&~patient(X))))&
((~calm(john))=>(?[X]:((~wise(X)&~tall(X)))))&
(((~happy(susan)<~>~patient(susan)))<=>(~humble(susan)))&
(![X]:((tall(X)|rich(X))<=>(rich(X)&~strong(... | ~happy(alice) | [
"p0",
"p1",
"p2",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3892432513059775251644945
% SZS output start Proof for 3892432513059775251644945
1. (strong(alice) | creative(alice)) <=> (kind(alice) | ~generous(alice)) [input p0]
2. ! [X0] : ((curious(X0) & ~creative(X0)) <=> kind(X0)) [input p1]
3. ! [X0] : ((wise(X0) | ~happy(X0)) <=> (~patient(X0) ... | 0 |
If paul is both wise and generous then fred is both not funny and not curious.
If mary is quiet then someone is either not patient or not tall and vice versa.
Everyone who is both not happy and not brave is either not calm or old and vice versa.
If someone is both old and strong then someone is either not strong or ric... | Alice is not rich. | contradiction | (((wise(paul)&generous(paul)))=>((~funny(fred)&~curious(fred))))&
((quiet(mary))<=>(?[X]:((~patient(X)<~>~tall(X)))))&
(![X]:((~happy(X)&~brave(X))<=>(~calm(X)<~>old(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((~strong(X)<~>rich(X)))))&
((kind(alice))<=>((~humble(susan)<~>humble(susan))))&
((?[X]:((calm(X)|~curious(X)... | ~rich(alice) | [
"p2",
"p4",
"p9",
"p10",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6185507786350964066963605
% SZS output start Proof for 6185507786350964066963605
3. ! [X0] : ((~brave(X0) & ~happy(X0)) <=> (~calm(X0) <~> old(X0))) [input p2]
5. kind(alice) <=> (~humble(susan) <~> humble(susan)) [input p4]
10. ! [X0] : (~calm(X0) => (~wise(X0) & patient(X0))) [input p9]... | 0 |
If alice is either kind or not happy then someone is not strong or not curious and vice versa.
Everyone who is both not calm and strong is not funny or not happy and vice versa.
If alice is not kind then someone is either not brave or not creative.
Everyone who is either not quiet or tall is both not tall and not kind ... | Fred is kind. | neutral | (((kind(alice)<~>~happy(alice)))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((~calm(X)&strong(X))<=>(~funny(X)|~happy(X))))&
((~kind(alice))=>(?[X]:((~brave(X)<~>~creative(X)))))&
(![X]:((~quiet(X)<~>tall(X))<=>(~tall(X)&~kind(X))))&
(![X]:((~quiet(X)&~rich(X))=>rich(X)))&
(![X]:(~happy(X)<=>(quiet(X)&~happy(X))))&
((... | kind(fred) | [] | null | 0 |
If someone is not curious or not patient then lucy is happy and vice versa.
Everyone who is not curious or not happy is patient or generous.
Everyone who is not curious is not rich or not generous and vice versa.
Everyone who is not humble is both not tall and not wise and vice versa.
If susan is not creative then some... | Susan is not rich. | contradiction | ((?[X]:((~curious(X)|~patient(X))))<=>(happy(lucy)))&
(![X]:((~curious(X)|~happy(X))=>(patient(X)|generous(X))))&
(![X]:(~curious(X)<=>(~rich(X)|~generous(X))))&
(![X]:(~humble(X)<=>(~tall(X)&~wise(X))))&
((~creative(susan))<=>(?[X]:((rich(X)<~>old(X)))))&
((?[X]:((humble(X)<~>~rich(X))))=>((calm(mary)<~>rich(mary))))&... | ~rich(susan) | [
"p2",
"p4",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8949790981780341216518634
% SZS output start Proof for 8949790981780341216518634
3. ! [X0] : (~curious(X0) <=> (~generous(X0) | ~rich(X0))) [input p2]
5. ~creative(susan) <=> ? [X0] : (rich(X0) <~> old(X0)) [input p4]
8. ! [X0] : ((~humble(X0) | happy(X0)) <=> (strong(X0) <~> ~curious(X0)... | 0 |
Everyone who is kind is both not humble and not old and vice versa.
Everyone who is not happy is humble.
If someone is not quiet or calm then john is either not funny or not calm and vice versa.
Everyone who is either strong or patient is either tall or not tall and vice versa.
Everyone who is both not funny and not ta... | Alice is not kind. | entailment | (![X]:(kind(X)<=>(~humble(X)&~old(X))))&
(![X]:(~happy(X)=>humble(X)))&
((?[X]:((~quiet(X)|calm(X))))<=>((~funny(john)<~>~calm(john))))&
(![X]:((strong(X)<~>patient(X))<=>(tall(X)<~>~tall(X))))&
(![X]:((~funny(X)&~tall(X))<=>(calm(X)|brave(X))))&
(((~happy(mary)&curious(mary)))=>(?[X]:(generous(X))))&
(![X]:((wise(X)&~... | ~kind(alice) | [
"p0",
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6770131956035964047219388
% SZS output start Proof for 6770131956035964047219388
1. ! [X0] : (kind(X0) <=> (~old(X0) & ~humble(X0))) [input p0]
2. ! [X0] : (~happy(X0) => humble(X0)) [input p1]
24. ~happy(alice) & ~generous(alice) [input p23]
25. kind(alice) [input hypothesis]
26. ! [X0] ... | 0 |
Everyone who is both strong and not calm is both not quiet and curious and vice versa. If fred is curious then lucy is creative and vice versa. If someone is quiet then someone is rich or not creative. Everyone who is either not rich or not strong is strong and vice versa. If susan is both not brave and not quiet then ... | Susan is not rich. | entailment | (![X]:((strong(X)&~calm(X))<=>(~quiet(X)&curious(X))))&
((curious(fred))<=>(creative(lucy)))&
((?[X]:(quiet(X)))=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X)))))&
(![... | ~rich(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7624572087785076899887464
% SZS output start Proof for 7624572087785076899887464
4. ! [X0] : ((~rich(X0) <~> ~strong(X0)) <=> strong(X0)) [input p3]
25. rich(susan) [input hypothesis]
45. ! [X0] : ((((strong(X0) | rich(X0)) & (~strong(X0) | ~rich(X0))) | ~strong(X0)) & (strong(X0) | ((~ri... | 0 |
Everyone who is either strong or not generous is both creative and generous and vice versa.
Everyone who is both not old and rich is generous.
Everyone who is either not strong or not creative is either not funny or not strong.
Everyone who is both not brave and not rich is not brave or not rich.
Everyone who is strong... | John is kind. | contradiction | (![X]:((strong(X)<~>~generous(X))<=>(creative(X)&generous(X))))&
(![X]:((~old(X)&rich(X))=>generous(X)))&
(![X]:((~strong(X)<~>~creative(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((~brave(X)&~rich(X))=>(~brave(X)|~rich(X))))&
(![X]:(strong(X)=>quiet(X)))&
(((rich(alice)<~>happy(alice)))=>((creative(alice)|calm(alice))))&
... | kind(john) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5513681633790327503389806
% SZS output start Proof for 5513681633790327503389806
11. ! [X0] : (~tall(X0) => ~kind(X0)) [input p10]
16. ~brave(john) & ~tall(john) [input p15]
21. kind(john) [input hypothesis]
32. ! [X0] : (~kind(X0) | tall(X0)) [ennf transformation 11]
98. ~kind(X0) | tall... | 0 |
If someone is wise or not brave then someone is not wise or not kind. If someone is either happy or quiet then someone is either quiet or wise. If someone is not happy or patient then mary is not happy. If someone is either not calm or not happy then someone is both strong and not patient. If someone is either not quie... | Susan is not wise. | contradiction | ((?[X]:((wise(X)|~brave(X))))=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:((happy(X)<~>quiet(X))))=>(?[X]:((quiet(X)<~>wise(X)))))&
((?[X]:((~happy(X)|patient(X))))=>(~happy(mary)))&
((?[X]:((~calm(X)<~>~happy(X))))=>(?[X]:((strong(X)&~patient(X)))))&
((?[X]:((~quiet(X)<~>quiet(X))))<=>((~strong(fred)<~>~calm(fred))))&
((?[... | ~wise(susan) | [
"p7",
"p8",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 935751280783243393560954
% SZS output start Proof for 935751280783243393560954
8. ! [X0] : ((calm(X0) | strong(X0)) <=> funny(X0)) [input p7]
9. ! [X0] : (rich(X0) <=> (calm(X0) & ~strong(X0))) [input p8]
10. ! [X0] : ((rich(X0) | generous(X0)) <=> (~funny(X0) & old(X0))) [input p9]
24. w... | 0 |
If paul is not brave then someone is both not happy and brave. If someone is both rich and calm then someone is either quiet or not strong. If fred is not rich or not generous then someone is not kind or creative. Everyone who is both not brave and not humble is both not happy and rich and vice versa. If susan is curio... | Paul is happy. | entailment | ((~brave(paul))=>(?[X]:((~happy(X)&brave(X)))))&
((?[X]:((rich(X)&calm(X))))=>(?[X]:((quiet(X)<~>~strong(X)))))&
(((~rich(fred)|~generous(fred)))=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((~brave(X)&~humble(X))<=>(~happy(X)&rich(X))))&
(((curious(susan)|~tall(susan)))=>(?[X]:((patient(X)|~calm(X)))))&
((?[X]:(~rich(X))... | happy(paul) | [
"p0",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4139172076643057296727226
% SZS output start Proof for 4139172076643057296727226
1. ~brave(paul) => ? [X0] : (brave(X0) & ~happy(X0)) [input p0]
4. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (rich(X0) & ~happy(X0))) [input p3]
9. ! [X0] : ((humble(X0) | brave(X0)) <=> (~wise(X0) & rich(X0))... | 0 |
Everyone who is either not curious or not tall is either not curious or not patient and vice versa.
If someone is not curious then mary is either strong or generous.
If lucy is both not rich and quiet then susan is either creative or rich and vice versa.
If paul is not rich then someone is both not happy and happy.
If ... | Lucy is patient. | entailment | (![X]:((~curious(X)<~>~tall(X))<=>(~curious(X)<~>~patient(X))))&
((?[X]:(~curious(X)))=>((strong(mary)<~>generous(mary))))&
(((~rich(lucy)&quiet(lucy)))<=>((creative(susan)<~>rich(susan))))&
((~rich(paul))=>(?[X]:((~happy(X)&happy(X)))))&
((?[X]:((~wise(X)<~>tall(X))))=>((~calm(lucy)&~happy(lucy))))&
(![X]:((~kind(X)&b... | patient(lucy) | [
"p6",
"p13",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6713691661763731150505520
% SZS output start Proof for 6713691661763731150505520
7. ! [X0] : ((~rich(X0) <~> strong(X0)) <=> ~patient(X0)) [input p6]
14. ! [X0] : ((~happy(X0) & old(X0)) <=> (~patient(X0) | ~wise(X0))) [input p13]
20. rich(lucy) [input p19]
23. happy(lucy) <~> ~strong(luc... | 0 |
Everyone who is not strong or not kind is either not kind or not curious and vice versa.
Everyone who is creative is both happy and not humble and vice versa.
Everyone who is either not quiet or not funny is rich and vice versa.
Everyone who is not quiet or not humble is either rich or not calm and vice versa.
Everyone... | Paul is curious. | entailment | (![X]:((~strong(X)|~kind(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:(creative(X)<=>(happy(X)&~humble(X))))&
(![X]:((~quiet(X)<~>~funny(X))<=>rich(X)))&
(![X]:((~quiet(X)|~humble(X))<=>(rich(X)<~>~calm(X))))&
(![X]:((happy(X)<~>~brave(X))=>(~tall(X)&~generous(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~tall(X)|patient(X))))&
... | curious(paul) | [
"p0",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1429360566415815139955972
% SZS output start Proof for 1429360566415815139955972
1. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p0]
13. ! [X0] : ((calm(X0) & curious(X0)) <=> (creative(X0) | curious(X0))) [input p12]
15. ! [X0] : ((patient(X0) | kind(X0)) ... | 0 |
Everyone who is either not rich or not creative is both not patient and calm and vice versa. Everyone who is not strong or not happy is brave and vice versa. Everyone who is curious or tall is creative and vice versa. Everyone who is either creative or funny is both not calm and patient and vice versa. Everyone who is ... | Mary is patient. | entailment | (![X]:((~rich(X)<~>~creative(X))<=>(~patient(X)&calm(X))))&
(![X]:((~strong(X)|~happy(X))<=>brave(X)))&
(![X]:((curious(X)|tall(X))<=>creative(X)))&
(![X]:((creative(X)<~>funny(X))<=>(~calm(X)&patient(X))))&
(![X]:((~brave(X)|kind(X))=>~generous(X)))&
(![X]:(~creative(X)<=>(~brave(X)|~kind(X))))&
(![X]:((~quiet(X)<~>ca... | patient(mary) | [
"p3",
"p5",
"p11",
"p12",
"p15",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7970820281599852489846460
% SZS output start Proof for 7970820281599852489846460
4. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (patient(X0) & ~calm(X0))) [input p3]
6. ! [X0] : (~creative(X0) <=> (~kind(X0) | ~brave(X0))) [input p5]
12. ? [X0] : (~curious(X0) | quiet(X0)) <=> ~brave(mary)... | 0 |
Everyone who is not brave or happy is both quiet and not brave.
Everyone who is either not curious or strong is either not patient or happy.
If someone is both generous and not tall then alice is patient or not humble.
Everyone who is either happy or not old is both generous and creative and vice versa.
If john is both... | John is not wise. | neutral | (![X]:((~brave(X)|happy(X))=>(quiet(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(~patient(X)<~>happy(X))))&
((?[X]:((generous(X)&~tall(X))))=>((patient(alice)|~humble(alice))))&
(![X]:((happy(X)<~>~old(X))<=>(generous(X)&creative(X))))&
(((old(john)&tall(john)))<=>(?[X]:((~calm(X)|~quiet(X)))))&
((~humble(alice)... | ~wise(john) | [] | null | 0 |
If paul is either not humble or not curious then someone is both wise and not calm and vice versa.
Everyone who is quiet or strong is either quiet or not kind and vice versa.
Everyone who is not quiet is not tall and vice versa.
Everyone who is both not wise and not patient is quiet or calm.
If someone is both patient ... | Mary is brave. | contradiction | (((~humble(paul)<~>~curious(paul)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((quiet(X)|strong(X))<=>(quiet(X)<~>~kind(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
(![X]:((~wise(X)&~patient(X))=>(quiet(X)|calm(X))))&
((?[X]:((patient(X)&rich(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~tall(X)|~humble(X))<=>(~calm(X)&humble(X))))&
(![X]... | brave(mary) | [
"p1",
"p2",
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 377308024364598933995181
% SZS output start Proof for 377308024364598933995181
2. ! [X0] : ((strong(X0) | quiet(X0)) <=> (quiet(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : (~quiet(X0) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((brave(X0) & happy(X0)) <=> (old(X0) | funny(X0))) [input p6]
8. ! ... | 0 |
Everyone who is humble or not funny is wise. If someone is strong or not rich then someone is either not humble or not funny. If someone is not patient then lucy is not humble or not curious and vice versa. If someone is tall or not patient then someone is either generous or not brave. If someone is wise or not wise th... | Lucy is not strong. | contradiction | (![X]:((humble(X)|~funny(X))=>wise(X)))&
((?[X]:((strong(X)|~rich(X))))=>(?[X]:((~humble(X)<~>~funny(X)))))&
((?[X]:(~patient(X)))<=>((~humble(lucy)|~curious(lucy))))&
((?[X]:((tall(X)|~patient(X))))=>(?[X]:((generous(X)<~>~brave(X)))))&
((?[X]:((wise(X)|~wise(X))))<=>(~generous(paul)))&
((?[X]:(wise(X)))=>((happy(alic... | ~strong(lucy) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6360576461342647809385722
% SZS output start Proof for 6360576461342647809385722
12. ! [X0] : (~strong(X0) <=> ~old(X0)) [input p11]
19. old(lucy) & happy(lucy) [input p18]
25. ~strong(lucy) [input hypothesis]
66. ! [X0] : ((~strong(X0) | old(X0)) & (~old(X0) | strong(X0))) [nnf transform... | 0 |
Everyone who is not patient is either patient or tall.
Everyone who is either creative or not brave is both wise and not humble and vice versa.
If someone is not quiet then someone is either not strong or generous.
If someone is either not humble or funny then mary is not strong or tall and vice versa.
Everyone who is ... | Lucy is not calm. | entailment | (![X]:(~patient(X)=>(patient(X)<~>tall(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(wise(X)&~humble(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~strong(X)<~>generous(X)))))&
((?[X]:((~humble(X)<~>funny(X))))<=>((~strong(mary)|tall(mary))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~f... | ~calm(lucy) | [
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9136207390039759268231834
% SZS output start Proof for 9136207390039759268231834
5. ! [X0] : ((creative(X0) | funny(X0)) => (tall(X0) & ~strong(X0))) [input p4]
9. ! [X0] : ((kind(X0) | curious(X0)) => (~curious(X0) & ~old(X0))) [input p8]
13. ! [X0] : ((~funny(X0) | quiet(X0)) => (~calm(... | 0 |
If someone is strong or not old then someone is rich or generous.
Everyone who is not kind is either not brave or rich.
Everyone who is curious or quiet is either calm or creative.
If someone is kind then someone is rich or creative and vice versa.
If john is both not happy and not rich then lucy is generous or tall an... | Lucy is not generous. | neutral | ((?[X]:((strong(X)|~old(X))))=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~kind(X)=>(~brave(X)<~>rich(X))))&
(![X]:((curious(X)|quiet(X))=>(calm(X)<~>creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|creative(X)))))&
(((~happy(john)&~rich(john)))<=>((generous(lucy)|tall(lucy))))&
(((~creative(fred)|creative(fred)))<=>((... | ~generous(lucy) | [] | null | 0 |
Everyone who is not funny is brave and vice versa. If someone is not kind or old then someone is creative. Everyone who is not creative is kind or not brave. If john is either quiet or funny then someone is both not generous and not patient. Everyone who is not kind or funny is both patient and not old and vice versa. ... | Lucy is not humble. | contradiction | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(kind(X)|~brave(X))))&
(((quiet(john)<~>funny(john)))=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~kind(X)|funny(X))<=>(patient(X)&~old(X))))&
(((calm(alice)<~>~strong(alice)))<=>((~funny(paul)<~>~quiet(paul))))&
... | ~humble(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 9130535218757841510911354
% SZS output start Proof for 9130535218757841510911354
12. ! [X0] : ((curious(X0) & humble(X0)) <=> (~patient(X0) | ~humble(X0))) [input p11]
22. ~humble(lucy) [input hypothesis]
47. ! [X0] : (((curious(X0) & humble(X0)) | (patient(X0) & humble(X0))) & ((~patient... | 0 |
Everyone who is either old or not old is either humble or kind and vice versa.
Everyone who is not kind is both brave and creative and vice versa.
Everyone who is both strong and not strong is both not kind and not strong and vice versa.
Everyone who is either not funny or not curious is either strong or quiet and vice... | Susan is not happy. | neutral | (![X]:((old(X)<~>~old(X))<=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(brave(X)&creative(X))))&
(![X]:((strong(X)&~strong(X))<=>(~kind(X)&~strong(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(strong(X)<~>quiet(X))))&
((?[X]:(~old(X)))=>(humble(lucy)))&
((?[X]:(funny(X)))<=>(?[X]:((patient(X)<~>kind(X)))))&
(![X]:((brave(... | ~happy(susan) | [] | null | 0 |
Everyone who is either not tall or not quiet is creative.
If someone is both not humble and not curious then fred is not generous or not quiet and vice versa.
If alice is humble then someone is curious and vice versa.
If alice is either tall or not funny then fred is either not old or not quiet.
Everyone who is both wi... | Susan is curious. | neutral | (![X]:((~tall(X)<~>~quiet(X))=>creative(X)))&
((?[X]:((~humble(X)&~curious(X))))<=>((~generous(fred)|~quiet(fred))))&
((humble(alice))<=>(?[X]:(curious(X))))&
(((tall(alice)<~>~funny(alice)))=>((~old(fred)<~>~quiet(fred))))&
(![X]:((wise(X)&~wise(X))<=>(~humble(X)&humble(X))))&
((?[X]:((kind(X)|wise(X))))=>(?[X]:((curi... | curious(susan) | [] | null | 0 |
Everyone who is either funny or rich is wise or happy and vice versa.
Everyone who is not rich or wise is not humble and vice versa.
Everyone who is not patient or not happy is not funny or not quiet.
If paul is either not curious or not happy then someone is wise and vice versa.
If paul is tall then someone is either ... | John is funny. | neutral | (![X]:((funny(X)<~>rich(X))<=>(wise(X)|happy(X))))&
(![X]:((~rich(X)|wise(X))<=>~humble(X)))&
(![X]:((~patient(X)|~happy(X))=>(~funny(X)|~quiet(X))))&
(((~curious(paul)<~>~happy(paul)))<=>(?[X]:(wise(X))))&
((tall(paul))=>(?[X]:((~creative(X)<~>~happy(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((~rich(X)|~calm(X)))))&
(![X]:((g... | funny(john) | [] | null | 0 |
Everyone who is both calm and patient is funny or wise.
If susan is tall or not quiet then john is both not rich and not curious and vice versa.
Everyone who is both not wise and wise is not patient and vice versa.
Everyone who is either not creative or old is both wise and not strong.
If susan is rich or kind then som... | Lucy is strong. | contradiction | (![X]:((calm(X)&patient(X))=>(funny(X)|wise(X))))&
(((tall(susan)|~quiet(susan)))<=>((~rich(john)&~curious(john))))&
(![X]:((~wise(X)&wise(X))<=>~patient(X)))&
(![X]:((~creative(X)<~>old(X))=>(wise(X)&~strong(X))))&
(((rich(susan)|kind(susan)))=>(?[X]:((~calm(X)|rich(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((~calm(X)<~>~... | strong(lucy) | [
"p2",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6713426015631138214483462
% SZS output start Proof for 6713426015631138214483462
3. ! [X0] : ((wise(X0) & ~wise(X0)) <=> ~patient(X0)) [input p2]
7. (~quiet(lucy) & ~strong(lucy)) <=> (calm(fred) <~> curious(fred)) [input p6]
8. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> (patient(X0) | tall(... | 0 |
If mary is not brave then lucy is rich. Everyone who is both not rich and humble is wise or not generous and vice versa. Everyone who is both not calm and generous is both kind and not creative. Everyone who is either not strong or not rich is both not calm and not humble. If someone is both creative and quiet then fre... | Susan is not funny. | contradiction | ((~brave(mary))=>(rich(lucy)))&
(![X]:((~rich(X)&humble(X))<=>(wise(X)|~generous(X))))&
(![X]:((~calm(X)&generous(X))=>(kind(X)&~creative(X))))&
(![X]:((~strong(X)<~>~rich(X))=>(~calm(X)&~humble(X))))&
((?[X]:((creative(X)&quiet(X))))<=>(quiet(fred)))&
(![X]:((~humble(X)<~>~creative(X))<=>(tall(X)&quiet(X))))&
(![X]:((... | ~funny(susan) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"p11",
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5205198614696172644103560
% SZS output start Proof for 5205198614696172644103560
2. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~generous(X0) | wise(X0))) [input p1]
6. ! [X0] : ((~humble(X0) <~> ~creative(X0)) <=> (quiet(X0) & tall(X0))) [input p5]
7. ! [X0] : ((curious(X0) | ~calm(X0)) => (... | 0 |
Everyone who is both brave and not funny is either generous or funny and vice versa.
If someone is not kind or curious then fred is not wise and vice versa.
If lucy is creative then susan is both not quiet and not rich and vice versa.
If john is tall then alice is either curious or not patient.
If someone is either ric... | John is quiet. | contradiction | (![X]:((brave(X)&~funny(X))<=>(generous(X)<~>funny(X))))&
((?[X]:((~kind(X)|curious(X))))<=>(~wise(fred)))&
((creative(lucy))<=>((~quiet(susan)&~rich(susan))))&
((tall(john))=>((curious(alice)<~>~patient(alice))))&
((?[X]:((rich(X)<~>wise(X))))<=>(?[X]:((old(X)&quiet(X)))))&
(![X]:((tall(X)<~>happy(X))=>(~creative(X)<~... | quiet(john) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5405079704542425267464409
% SZS output start Proof for 5405079704542425267464409
11. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> (old(X0) & tall(X0))) [input p10]
14. ! [X0] : ((~tall(X0) & ~generous(X0)) <=> (quiet(X0) | ~kind(X0))) [input p13]
25. quiet(john) [input hypothesis]
57. ! [X0... | 0 |
Everyone who is either curious or not curious is humble.
If susan is creative then someone is not generous and vice versa.
If alice is either generous or old then someone is wise.
Everyone who is either calm or not wise is rich or patient and vice versa.
If lucy is patient then lucy is tall or calm and vice versa.
Ever... | Susan is wise. | entailment | (![X]:((curious(X)<~>~curious(X))=>humble(X)))&
((creative(susan))<=>(?[X]:(~generous(X))))&
(((generous(alice)<~>old(alice)))=>(?[X]:(wise(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(rich(X)|patient(X))))&
((patient(lucy))<=>((tall(lucy)|calm(lucy))))&
(![X]:((rich(X)&~old(X))=>~tall(X)))&
(((~wise(paul)&quiet(paul)))=>(?[X... | wise(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4425410346237228723208714
% SZS output start Proof for 4425410346237228723208714
23. wise(susan) [input p22]
24. ~wise(susan) [input hypothesis]
115. wise(susan) [cnf transformation 23]
116. ~wise(susan) [cnf transformation 24]
262. $false [subsumption resolution 116,115]
% SZS output end... | 0 |
Everyone who is either happy or not happy is both happy and strong.
If alice is not generous then someone is not patient.
Everyone who is not generous is old or not humble and vice versa.
If someone is both quiet and not calm then someone is both generous and happy.
Everyone who is brave is either curious or not funny ... | Paul is not humble. | entailment | (![X]:((happy(X)<~>~happy(X))=>(happy(X)&strong(X))))&
((~generous(alice))=>(?[X]:(~patient(X))))&
(![X]:(~generous(X)<=>(old(X)|~humble(X))))&
((?[X]:((quiet(X)&~calm(X))))=>(?[X]:((generous(X)&happy(X)))))&
(![X]:(brave(X)<=>(curious(X)<~>~funny(X))))&
((tall(lucy))=>(?[X]:((~old(X)|~generous(X)))))&
(((tall(mary)&ri... | ~humble(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8009498589049346794220705
% SZS output start Proof for 8009498589049346794220705
15. ! [X0] : (humble(X0) => (~humble(X0) & kind(X0))) [input p14]
23. humble(paul) [input hypothesis]
35. ! [X0] : ((~humble(X0) & kind(X0)) | ~humble(X0)) [ennf transformation 15]
130. ~humble(X0) | ~humble(... | 0 |
If john is either not brave or not wise then mary is not curious.
Everyone who is either not humble or not funny is not old or not curious.
If someone is strong or brave then mary is kind and vice versa.
Everyone who is both quiet and not funny is funny.
If someone is brave or strong then someone is not quiet and vice ... | Paul is not calm. | contradiction | (((~brave(john)<~>~wise(john)))=>(~curious(mary)))&
(![X]:((~humble(X)<~>~funny(X))=>(~old(X)|~curious(X))))&
((?[X]:((strong(X)|brave(X))))<=>(kind(mary)))&
(![X]:((quiet(X)&~funny(X))=>funny(X)))&
((?[X]:((brave(X)|strong(X))))<=>(?[X]:(~quiet(X))))&
(((brave(mary)<~>~curious(mary)))=>((humble(lucy)|~strong(lucy))))&... | ~calm(paul) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7679759426422805100390479
% SZS output start Proof for 7679759426422805100390479
7. ! [X0] : ((~curious(X0) | patient(X0)) <=> (~calm(X0) & curious(X0))) [input p6]
17. ~patient(paul) [input p16]
25. ~calm(paul) [input hypothesis]
51. ! [X0] : (((~curious(X0) | patient(X0)) | (calm(X0) | ... | 0 |
Everyone who is funny is happy or brave and vice versa.
If susan is either creative or tall then fred is not strong.
If fred is quiet or not rich then susan is not happy or not old.
Everyone who is rich or not wise is not brave.
Everyone who is not strong or not generous is strong.
If fred is either not old or kind the... | Susan is happy. | neutral | (![X]:(funny(X)<=>(happy(X)|brave(X))))&
(((creative(susan)<~>tall(susan)))=>(~strong(fred)))&
(((quiet(fred)|~rich(fred)))=>((~happy(susan)|~old(susan))))&
(![X]:((rich(X)|~wise(X))=>~brave(X)))&
(![X]:((~strong(X)|~generous(X))=>strong(X)))&
(((~old(fred)<~>kind(fred)))<=>(?[X]:(strong(X))))&
(![X]:(~brave(X)<=>(happ... | happy(susan) | [] | null | 0 |
Everyone who is not funny or tall is both brave and not generous and vice versa. Everyone who is both not rich and quiet is both not creative and funny and vice versa. If alice is not humble or not old then fred is either not strong or rich. If alice is both kind and funny then paul is generous. If someone is either no... | Alice is kind. | entailment | (![X]:((~funny(X)|tall(X))<=>(brave(X)&~generous(X))))&
(![X]:((~rich(X)&quiet(X))<=>(~creative(X)&funny(X))))&
(((~humble(alice)|~old(alice)))=>((~strong(fred)<~>rich(fred))))&
(((kind(alice)&funny(alice)))=>(generous(paul)))&
((?[X]:((~tall(X)<~>curious(X))))<=>((~humble(alice)<~>wise(alice))))&
(![X]:((~brave(X)&str... | kind(alice) | [
"p0",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7979869494869824637546709
% SZS output start Proof for 7979869494869824637546709
1. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (~generous(X0) & brave(X0))) [input p0]
6. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (~kind(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((~brave(X0) & tall(X0)) <=> (old(... | 0 |
Everyone who is either not curious or kind is either not patient or creative. If someone is not rich or humble then alice is funny or brave and vice versa. If fred is either not calm or happy then someone is both not tall and funny and vice versa. If fred is either tall or not strong then someone is not funny or not br... | Fred is not happy. | entailment | (![X]:((~curious(X)<~>kind(X))=>(~patient(X)<~>creative(X))))&
((?[X]:((~rich(X)|humble(X))))<=>((funny(alice)|brave(alice))))&
(((~calm(fred)<~>happy(fred)))<=>(?[X]:((~tall(X)&funny(X)))))&
(((tall(fred)<~>~strong(fred)))<=>(?[X]:((~funny(X)|~brave(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X... | ~happy(fred) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 888239658405468658743857
% SZS output start Proof for 888239658405468658743857
3. (~calm(fred) <~> happy(fred)) <=> ? [X0] : (funny(X0) & ~tall(X0)) [input p2]
6. ! [X0] : ((patient(X0) <~> ~calm(X0)) => (~happy(X0) & ~quiet(X0))) [input p5]
7. ! [X0] : (~old(X0) <=> generous(X0)) [input ... | 0 |
If susan is tall or rich then someone is creative or kind.
Everyone who is funny is not humble and vice versa.
If alice is both generous and not old then someone is either funny or happy and vice versa.
Everyone who is both funny and curious is not quiet or not brave and vice versa.
Everyone who is either not calm or q... | Alice is calm. | contradiction | (((tall(susan)|rich(susan)))=>(?[X]:((creative(X)|kind(X)))))&
(![X]:(funny(X)<=>~humble(X)))&
(((generous(alice)&~old(alice)))<=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((funny(X)&curious(X))<=>(~quiet(X)|~brave(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~quiet(X)&funny(X))))&
(((happy(mary)<~>humble(mary)))<=>(happy(john)... | calm(alice) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 42633903265888557202533
% SZS output start Proof for 42633903265888557202533
4. ! [X0] : ((curious(X0) & funny(X0)) <=> (~brave(X0) | ~quiet(X0))) [input p3]
5. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> (funny(X0) & ~quiet(X0))) [input p4]
24. calm(alice) [input hypothesis]
43. ! [X0] : (((... | 0 |
If someone is either not funny or not quiet then someone is both not creative and humble and vice versa. Everyone who is either not strong or not quiet is calm. If someone is either not kind or not tall then alice is both kind and not happy and vice versa. Everyone who is wise is both rich and not happy. If alice is wi... | John is not strong. | entailment | ((?[X]:((~funny(X)<~>~quiet(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((~strong(X)<~>~quiet(X))=>calm(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((kind(alice)&~happy(alice))))&
(![X]:(wise(X)=>(rich(X)&~happy(X))))&
((wise(alice))=>(?[X]:((~patient(X)|rich(X)))))&
(((~humble(mary)<~>generous(mary)))=>(?[X]:(strong... | ~strong(john) | [
"p3",
"p9",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7290203881361009734725700
% SZS output start Proof for 7290203881361009734725700
4. ! [X0] : (wise(X0) => (~happy(X0) & rich(X0))) [input p3]
10. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (quiet(X0) & funny(X0))) [input p9]
12. ! [X0] : (strong(X0) => patient(X0)) [input p11]
15. ! [X0] :... | 0 |
Everyone who is either quiet or happy is not strong.
If lucy is not calm then someone is not calm.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old and not rich and vice versa.
If someone is either not rich or not h... | Mary is not patient. | contradiction | (![X]:((quiet(X)<~>happy(X))=>~strong(X)))&
((~calm(lucy))=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wi... | ~patient(mary) | [
"p7",
"p8",
"p9",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8182053477262933439394996
% SZS output start Proof for 8182053477262933439394996
8. ? [X0] : (tall(X0) & ~quiet(X0)) <=> ? [X0] : quiet(X0) [input p7]
9. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p8]
10. ! [X0] : ((~old(X0) | ~quiet(X0)) => (calm(X0) & ~quiet(X0))) [i... | 0 |
Everyone who is both patient and not funny is not kind or creative.
If fred is both generous and rich then paul is either funny or wise and vice versa.
If alice is either old or not calm then john is curious.
Everyone who is both not wise and not funny is either funny or generous and vice versa.
If mary is funny then s... | Mary is not calm. | entailment | (![X]:((patient(X)&~funny(X))=>(~kind(X)|creative(X))))&
(((generous(fred)&rich(fred)))<=>((funny(paul)<~>wise(paul))))&
(((old(alice)<~>~calm(alice)))=>(curious(john)))&
(![X]:((~wise(X)&~funny(X))<=>(funny(X)<~>generous(X))))&
((funny(mary))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)|~wise(X))))=>((brave(... | ~calm(mary) | [
"p0",
"p3",
"p4",
"p8",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7775596923602095572388994
% SZS output start Proof for 7775596923602095572388994
1. ! [X0] : ((~funny(X0) & patient(X0)) => (creative(X0) | ~kind(X0))) [input p0]
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (funny(X0) <~> generous(X0))) [input p3]
5. funny(mary) <=> ? [X0] : (patient(X0) <~... | 0 |
If someone is either not wise or not creative then someone is both happy and not wise and vice versa.
If someone is either kind or old then someone is either not patient or kind and vice versa.
Everyone who is both not patient and calm is either curious or old.
If someone is strong then someone is not strong or not tal... | Paul is not humble. | contradiction | ((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((happy(X)&~wise(X)))))&
((?[X]:((kind(X)<~>old(X))))<=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((~patient(X)&calm(X))=>(curious(X)<~>old(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)|~tall(X)))))&
(((patient(lucy)<~>humble(lucy)))<=>(?[X]:((~wise(X)<~>~happy(X)))))&
((qui... | ~humble(paul) | [
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3598857002988176616897264
% SZS output start Proof for 3598857002988176616897264
10. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (~rich(X0) & funny(X0))) [input p9]
11. ! [X0] : ((brave(X0) | ~humble(X0)) => rich(X0)) [input p10]
24. ~humble(paul) [input hypothesis]
29. ! [X0] : ((brave(X0) <... | 0 |
If someone is either rich or brave then lucy is both calm and not curious.
If someone is not wise then mary is either kind or not happy and vice versa.
If someone is brave then mary is either not happy or happy and vice versa.
Everyone who is not curious or not brave is both generous and not funny and vice versa.
Every... | Alice is rich. | contradiction | ((?[X]:((rich(X)<~>brave(X))))=>((calm(lucy)&~curious(lucy))))&
((?[X]:(~wise(X)))<=>((kind(mary)<~>~happy(mary))))&
((?[X]:(brave(X)))<=>((~happy(mary)<~>happy(mary))))&
(![X]:((~curious(X)|~brave(X))<=>(generous(X)&~funny(X))))&
(![X]:((generous(X)<~>~creative(X))<=>(happy(X)|~patient(X))))&
((?[X]:(brave(X)))=>((cre... | rich(alice) | [
"p6",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7343554621547074527560829
% SZS output start Proof for 7343554621547074527560829
7. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p6]
10. ! [X0] : (~strong(X0) <=> curious(X0)) [input p9]
12. ! [X0] : ((brave(X0) | strong(X0)) <=> (~rich(X0) & ~old(X0))... | 0 |
Everyone who is both calm and patient is not calm or funny.
If someone is both old and not curious then someone is either not funny or not rich and vice versa.
If someone is not happy or not wise then alice is both tall and generous.
Everyone who is not wise or quiet is both not tall and not wise and vice versa.
Everyo... | Lucy is not calm. | neutral | (![X]:((calm(X)&patient(X))=>(~calm(X)|funny(X))))&
((?[X]:((old(X)&~curious(X))))<=>(?[X]:((~funny(X)<~>~rich(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>((tall(alice)&generous(alice))))&
(![X]:((~wise(X)|quiet(X))<=>(~tall(X)&~wise(X))))&
(![X]:((curious(X)&brave(X))<=>(curious(X)&~creative(X))))&
(![X]:(~generous(X)<=>(... | ~calm(lucy) | [] | null | 0 |
Everyone who is not quiet or old is kind and vice versa. If someone is both not brave and calm then someone is both old and not kind. If mary is not patient then fred is rich and vice versa. If lucy is generous or tall then susan is not curious or not funny. If someone is tall then susan is both not patient and not bra... | John is humble. | contradiction | (![X]:((~quiet(X)|old(X))<=>kind(X)))&
((?[X]:((~brave(X)&calm(X))))=>(?[X]:((old(X)&~kind(X)))))&
((~patient(mary))<=>(rich(fred)))&
(((generous(lucy)|tall(lucy)))=>((~curious(susan)|~funny(susan))))&
((?[X]:(tall(X)))<=>((~patient(susan)&~brave(susan))))&
(![X]:(wise(X)<=>(happy(X)|~tall(X))))&
(![X]:((~generous(X)<~... | humble(john) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6178614575806620935471184
% SZS output start Proof for 6178614575806620935471184
7. ! [X0] : ((~generous(X0) <~> strong(X0)) <=> ~strong(X0)) [input p6]
10. ! [X0] : (~generous(X0) <=> ~humble(X0)) [input p9]
23. humble(john) [input hypothesis]
51. ! [X0] : ((((~strong(X0) | generous(X0))... | 0 |
If someone is not quiet or calm then alice is both not humble and not brave and vice versa.
Everyone who is both curious and not humble is both not patient and not curious and vice versa.
If lucy is either humble or not humble then lucy is either not wise or not rich.
If someone is not wise or not quiet then someone is... | Alice is humble. | contradiction | ((?[X]:((~quiet(X)|calm(X))))<=>((~humble(alice)&~brave(alice))))&
(![X]:((curious(X)&~humble(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(lucy)))=>((~wise(lucy)<~>~rich(lucy))))&
((?[X]:((~wise(X)|~quiet(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((wise(X)|humble(X))))<=>((~kind(lucy)<~>tall(lucy))))&
(![X]... | humble(alice) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2279909715333035284732764
% SZS output start Proof for 2279909715333035284732764
1. ? [X0] : (calm(X0) | ~quiet(X0)) <=> (~brave(alice) & ~humble(alice)) [input p0]
2. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~curious(X0) & ~patient(X0))) [input p1]
6. ! [X0] : ((wise(X0) & old(X0)) <=>... | 0 |
Everyone who is both not generous and creative is either not patient or not generous and vice versa.
If paul is both not wise and creative then lucy is either kind or not old.
If someone is either not old or not funny then lucy is either calm or not funny and vice versa.
If fred is both funny and not humble then paul i... | Paul is creative. | entailment | (![X]:((~generous(X)&creative(X))<=>(~patient(X)<~>~generous(X))))&
(((~wise(paul)&creative(paul)))=>((kind(lucy)<~>~old(lucy))))&
((?[X]:((~old(X)<~>~funny(X))))<=>((calm(lucy)<~>~funny(lucy))))&
(((funny(fred)&~humble(fred)))<=>((~rich(paul)&quiet(paul))))&
(((humble(alice)&funny(alice)))=>((generous(mary)|creative(m... | creative(paul) | [
"p5",
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5790358822630570536616685
% SZS output start Proof for 5790358822630570536616685
6. ! [X0] : ((generous(X0) <~> ~generous(X0)) => (creative(X0) <~> ~rich(X0))) [input p5]
7. (generous(paul) & rich(paul)) <=> ? [X0] : (~humble(X0) <~> ~tall(X0)) [input p6]
11. ! [X0] : (tall(X0) <=> ~humbl... | 0 |
Everyone who is both creative and not calm is not creative or not happy. Everyone who is either quiet or kind is rich or calm and vice versa. Everyone who is not funny is both not generous and calm and vice versa. If paul is both happy and not wise then someone is wise. Everyone who is not funny or tall is both rich an... | Lucy is rich. | entailment | (![X]:((creative(X)&~calm(X))=>(~creative(X)|~happy(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(rich(X)|calm(X))))&
(![X]:(~funny(X)<=>(~generous(X)&calm(X))))&
(((happy(paul)&~wise(paul)))=>(?[X]:(wise(X))))&
(![X]:((~funny(X)|tall(X))=>(rich(X)&~tall(X))))&
(![X]:((calm(X)|tall(X))<=>(curious(X)&old(X))))&
(![X]:((~quiet(X... | rich(lucy) | [
"p1",
"p10",
"p12",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 811904145437215486296588
% SZS output start Proof for 811904145437215486296588
2. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> (calm(X0) | rich(X0))) [input p1]
11. (rich(lucy) <~> ~humble(lucy)) <=> ? [X0] : (kind(X0) | brave(X0)) [input p10]
13. ! [X0] : ((~curious(X0) | calm(X0)) => (rich(X0... | 0 |
If someone is either rich or not wise then someone is either strong or not humble. Everyone who is not brave is happy and vice versa. Everyone who is not wise is quiet. Everyone who is either not patient or not funny is either strong or quiet. Everyone who is either not old or not brave is creative or not quiet. Everyo... | John is generous. | contradiction | ((?[X]:((rich(X)<~>~wise(X))))=>(?[X]:((strong(X)<~>~humble(X)))))&
(![X]:(~brave(X)<=>happy(X)))&
(![X]:(~wise(X)=>quiet(X)))&
(![X]:((~patient(X)<~>~funny(X))=>(strong(X)<~>quiet(X))))&
(![X]:((~old(X)<~>~brave(X))=>(creative(X)|~quiet(X))))&
(![X]:(patient(X)<=>(~creative(X)|brave(X))))&
((creative(john))=>((funny(m... | generous(john) | [
"p1",
"p5",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3330392475360501288936735
% SZS output start Proof for 3330392475360501288936735
2. ! [X0] : (~brave(X0) <=> happy(X0)) [input p1]
6. ! [X0] : (patient(X0) <=> (brave(X0) | ~creative(X0))) [input p5]
9. ! [X0] : ((rich(X0) | generous(X0)) => (quiet(X0) & ~patient(X0))) [input p8]
15. ! [X... | 0 |
If someone is not kind then paul is both patient and quiet.
If paul is both not wise and old then someone is not humble.
Everyone who is either not rich or kind is not strong or not happy and vice versa.
If someone is either not kind or old then someone is either not wise or not brave and vice versa.
Everyone who is bo... | Mary is happy. | neutral | ((?[X]:(~kind(X)))=>((patient(paul)&quiet(paul))))&
(((~wise(paul)&old(paul)))=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>kind(X))<=>(~strong(X)|~happy(X))))&
((?[X]:((~kind(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>~brave(X)))))&
(![X]:((~creative(X)&strong(X))=>(~rich(X)&calm(X))))&
((?[X]:((happy(X)&strong(X))))=>((~old(jo... | happy(mary) | [] | null | 0 |
Everyone who is brave or rich is both not wise and not brave and vice versa.
Everyone who is both old and generous is not tall or calm.
Everyone who is either not humble or calm is not happy or not kind and vice versa.
If someone is wise then susan is both rich and quiet.
Everyone who is not rich or not quiet is not ca... | Paul is not patient. | neutral | (![X]:((brave(X)|rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:((old(X)&generous(X))=>(~tall(X)|calm(X))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(![X]:((strong(X... | ~patient(paul) | [] | null | 0 |
Everyone who is curious is either quiet or happy.
Everyone who is funny or not funny is not rich.
Everyone who is not happy or not quiet is both not strong and wise.
If paul is both not humble and not generous then lucy is not kind or strong.
If susan is not brave or strong then someone is both not quiet and strong and... | Fred is not patient. | entailment | (![X]:(curious(X)=>(quiet(X)<~>happy(X))))&
(![X]:((funny(X)|~funny(X))=>~rich(X)))&
(![X]:((~happy(X)|~quiet(X))=>(~strong(X)&wise(X))))&
(((~humble(paul)&~generous(paul)))=>((~kind(lucy)|strong(lucy))))&
(((~brave(susan)|strong(susan)))<=>(?[X]:((~quiet(X)&strong(X)))))&
(![X]:((~strong(X)<~>~curious(X))=>(~quiet(X)&... | ~patient(fred) | [
"p0",
"p2",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6555041493246282360298502
% SZS output start Proof for 6555041493246282360298502
1. ! [X0] : (curious(X0) => (quiet(X0) <~> happy(X0))) [input p0]
3. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (wise(X0) & ~strong(X0))) [input p2]
7. ! [X0] : ((~funny(X0) <~> patient(X0)) => (~quiet(X0) & ~pat... | 0 |
Everyone who is not strong or happy is either calm or not strong and vice versa.
Everyone who is generous is either quiet or not generous and vice versa.
Everyone who is both creative and not tall is either not funny or not strong.
Everyone who is either wise or patient is patient and vice versa.
Everyone who is happy ... | Lucy is not strong. | contradiction | (![X]:((~strong(X)|happy(X))<=>(calm(X)<~>~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~generous(X))))&
(![X]:((creative(X)&~tall(X))=>(~funny(X)<~>~strong(X))))&
(![X]:((wise(X)<~>patient(X))<=>patient(X)))&
(![X]:((happy(X)|~quiet(X))<=>(generous(X)&~old(X))))&
(((wise(susan)&rich(susan)))<=>((tall(lucy)<~>~brave(... | ~strong(lucy) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8095486709487182042160439
% SZS output start Proof for 8095486709487182042160439
2. ! [X0] : (generous(X0) <=> (quiet(X0) <~> ~generous(X0))) [input p1]
8. ! [X0] : ((strong(X0) <~> ~kind(X0)) => (strong(X0) & ~curious(X0))) [input p7]
12. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p11]
23... | 0 |
Everyone who is patient is both creative and not patient and vice versa. Everyone who is both not brave and humble is brave and vice versa. If someone is either funny or not patient then someone is both not patient and old and vice versa. Everyone who is both funny and not kind is both humble and strong. If lucy is eit... | Fred is creative. | contradiction | (![X]:(patient(X)<=>(creative(X)&~patient(X))))&
(![X]:((~brave(X)&humble(X))<=>brave(X)))&
((?[X]:((funny(X)<~>~patient(X))))<=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((funny(X)&~kind(X))=>(humble(X)&strong(X))))&
(((~brave(lucy)<~>brave(lucy)))<=>((curious(mary)&quiet(mary))))&
(![X]:(generous(X)=>(~old(X)<~>~tall(X))... | creative(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 9025586028197928992512299
% SZS output start Proof for 9025586028197928992512299
1. ! [X0] : (patient(X0) <=> (~patient(X0) & creative(X0))) [input p0]
21. creative(fred) [input hypothesis]
29. ! [X0] : ((patient(X0) | (patient(X0) | ~creative(X0))) & ((~patient(X0) & creative(X0)) | ~pat... | 0 |
If alice is both kind and creative then alice is both rich and not generous and vice versa.
If paul is not creative then fred is not funny.
If someone is funny then lucy is both funny and not strong.
Everyone who is either strong or not wise is not wise or not rich and vice versa.
Everyone who is both calm and happy is... | Fred is not tall. | entailment | (((kind(alice)&creative(alice)))<=>((rich(alice)&~generous(alice))))&
((~creative(paul))=>(~funny(fred)))&
((?[X]:(funny(X)))=>((funny(lucy)&~strong(lucy))))&
(![X]:((strong(X)<~>~wise(X))<=>(~wise(X)|~rich(X))))&
(![X]:((calm(X)&happy(X))=>humble(X)))&
(((tall(fred)&~generous(fred)))=>(?[X]:((~quiet(X)&generous(X)))))... | ~tall(fred) | [
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4744766675064778964348354
% SZS output start Proof for 4744766675064778964348354
4. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> (~rich(X0) | ~wise(X0))) [input p3]
9. ! [X0] : (rich(X0) => (~tall(X0) & brave(X0))) [input p8]
16. ! [X0] : ((~strong(X0) | wise(X0)) <=> (~rich(X0) <~> tall(X0))... | 0 |
Everyone who is either patient or not creative is either patient or not quiet. Everyone who is happy is not curious and vice versa. If someone is generous or not kind then alice is both creative and wise and vice versa. Everyone who is either tall or not old is curious and vice versa. If john is either not strong or no... | Susan is rich. | contradiction | (![X]:((patient(X)<~>~creative(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(happy(X)<=>~curious(X)))&
((?[X]:((generous(X)|~kind(X))))<=>((creative(alice)&wise(alice))))&
(![X]:((tall(X)<~>~old(X))<=>curious(X)))&
(((~strong(john)<~>~humble(john)))=>((~tall(lucy)<~>~funny(lucy))))&
(![X]:(~happy(X)<=>(~curious(X)&rich(X))))... | rich(susan) | [
"p1",
"p5",
"p7",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5793622481114583981602757
% SZS output start Proof for 5793622481114583981602757
2. ! [X0] : (happy(X0) <=> ~curious(X0)) [input p1]
6. ! [X0] : (~happy(X0) <=> (rich(X0) & ~curious(X0))) [input p5]
8. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (wise(X0) | ~strong(X0))) [input p7]
10. ~gene... | 0 |
If someone is both quiet and not wise then someone is either not brave or curious and vice versa. Everyone who is not humble or tall is happy and vice versa. Everyone who is both not quiet and not brave is either brave or not wise and vice versa. Everyone who is not brave is not old and vice versa. Everyone who is both... | Mary is quiet. | contradiction | ((?[X]:((quiet(X)&~wise(X))))<=>(?[X]:((~brave(X)<~>curious(X)))))&
(![X]:((~humble(X)|tall(X))<=>happy(X)))&
(![X]:((~quiet(X)&~brave(X))<=>(brave(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>~old(X)))&
(![X]:((patient(X)&~curious(X))=>(~quiet(X)&curious(X))))&
((?[X]:((calm(X)&~creative(X))))<=>((brave(susan)<~>funny(susan))... | quiet(mary) | [
"p1",
"p7",
"p8",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 155944028291478261683629
% SZS output start Proof for 155944028291478261683629
2. ! [X0] : ((tall(X0) | ~humble(X0)) <=> happy(X0)) [input p1]
8. ! [X0] : ((happy(X0) | ~rich(X0)) => (curious(X0) <~> quiet(X0))) [input p7]
9. ! [X0] : ((generous(X0) <~> humble(X0)) => (happy(X0) & kind(X0... | 0 |
If paul is both not patient and calm then fred is not humble.
If susan is not curious or quiet then someone is patient or strong.
Everyone who is not wise is not generous or not old.
Everyone who is kind or strong is both not wise and patient and vice versa.
Everyone who is either strong or wise is tall or not humble.
... | Paul is patient. | contradiction | (((~patient(paul)&calm(paul)))=>(~humble(fred)))&
(((~curious(susan)|quiet(susan)))=>(?[X]:((patient(X)|strong(X)))))&
(![X]:(~wise(X)=>(~generous(X)|~old(X))))&
(![X]:((kind(X)|strong(X))<=>(~wise(X)&patient(X))))&
(![X]:((strong(X)<~>wise(X))=>(tall(X)|~humble(X))))&
(![X]:(humble(X)<=>(brave(X)|rich(X))))&
(![X]:(ki... | patient(paul) | [
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 320196170640733731202006
% SZS output start Proof for 320196170640733731202006
6. ! [X0] : (humble(X0) <=> (rich(X0) | brave(X0))) [input p5]
9. ? [X0] : (humble(X0) | ~generous(X0)) => (~patient(paul) & happy(paul)) [input p8]
12. ! [X0] : ((humble(X0) <~> ~rich(X0)) <=> (rich(X0) & ~tal... | 0 |
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not creative and vice versa.
If someone is either calm or wise then fred is both rich and not curio... | Lucy is quiet. | neutral | (![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~rich(X)&~quiet(X))<=>(strong(X)|~creative(X))))&
(((~tall(mary)|funny(m... | quiet(lucy) | [] | null | 0 |
If paul is generous or creative then lucy is funny or old.
Everyone who is either kind or brave is calm.
Everyone who is either not calm or happy is both brave and humble.
If fred is either wise or strong then paul is not strong and vice versa.
Everyone who is not tall or not happy is both brave and kind.
Everyone who ... | Alice is not old. | contradiction | (((generous(paul)|creative(paul)))=>((funny(lucy)|old(lucy))))&
(![X]:((kind(X)<~>brave(X))=>calm(X)))&
(![X]:((~calm(X)<~>happy(X))=>(brave(X)&humble(X))))&
(((wise(fred)<~>strong(fred)))<=>(~strong(paul)))&
(![X]:((~tall(X)|~happy(X))=>(brave(X)&kind(X))))&
(![X]:((strong(X)<~>funny(X))=>(~happy(X)&curious(X))))&
((~... | ~old(alice) | [
"p1",
"p2",
"p4",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7368472433102400826926386
% SZS output start Proof for 7368472433102400826926386
2. ! [X0] : ((kind(X0) <~> brave(X0)) => calm(X0)) [input p1]
3. ! [X0] : ((~calm(X0) <~> happy(X0)) => (humble(X0) & brave(X0))) [input p2]
5. ! [X0] : ((~happy(X0) | ~tall(X0)) => (kind(X0) & brave(X0))) [i... | 0 |
If someone is both old and not old then someone is old.
If paul is not patient or rich then mary is either rich or kind.
Everyone who is calm or not patient is either not happy or curious and vice versa.
Everyone who is both not tall and not brave is both happy and generous.
If john is either not funny or not wise then... | Mary is quiet. | neutral | ((?[X]:((old(X)&~old(X))))=>(?[X]:(old(X))))&
(((~patient(paul)|rich(paul)))=>((rich(mary)<~>kind(mary))))&
(![X]:((calm(X)|~patient(X))<=>(~happy(X)<~>curious(X))))&
(![X]:((~tall(X)&~brave(X))=>(happy(X)&generous(X))))&
(((~funny(john)<~>~wise(john)))<=>(tall(john)))&
(![X]:((~wise(X)&~generous(X))<=>strong(X)))&
(![... | quiet(mary) | [] | null | 0 |
Everyone who is either funny or brave is either not strong or not quiet. If someone is both wise and not kind then susan is both brave and old. Everyone who is both calm and rich is both not funny and rich. If someone is both not brave and not wise then someone is either not curious or funny and vice versa. Everyone wh... | John is happy. | entailment | (![X]:((funny(X)<~>brave(X))=>(~strong(X)<~>~quiet(X))))&
((?[X]:((wise(X)&~kind(X))))=>((brave(susan)&old(susan))))&
(![X]:((calm(X)&rich(X))=>(~funny(X)&rich(X))))&
((?[X]:((~brave(X)&~wise(X))))<=>(?[X]:((~curious(X)<~>funny(X)))))&
(![X]:((curious(X)|generous(X))<=>(~strong(X)&humble(X))))&
(![X]:((creative(X)|old(... | happy(john) | [
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5717273877155703146332145
% SZS output start Proof for 5717273877155703146332145
13. ! [X0] : ((calm(X0) | patient(X0)) <=> (~tall(X0) & creative(X0))) [input p12]
15. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> happy(X0)) [input p14]
25. ~happy(john) [input hypothesis]
32. ! [X0] : ((~tall(X0)... | 0 |
Everyone who is not brave or quiet is not rich or wise and vice versa. Everyone who is either curious or not creative is both strong and humble and vice versa. Everyone who is brave or not wise is quiet or kind. If someone is not kind or not humble then lucy is curious or not old and vice versa. If someone is both gene... | Paul is strong. | neutral | (![X]:((~brave(X)|quiet(X))<=>(~rich(X)|wise(X))))&
(![X]:((curious(X)<~>~creative(X))<=>(strong(X)&humble(X))))&
(![X]:((brave(X)|~wise(X))=>(quiet(X)|kind(X))))&
((?[X]:((~kind(X)|~humble(X))))<=>((curious(lucy)|~old(lucy))))&
((?[X]:((generous(X)&~creative(X))))=>(?[X]:(~old(X))))&
((?[X]:(rich(X)))<=>((humble(alice... | strong(paul) | [] | null | 0 |
Everyone who is not creative or not old is patient or not rich and vice versa.
Everyone who is either not rich or funny is quiet or old and vice versa.
If mary is not rich then someone is not wise or not kind and vice versa.
If someone is not strong or humble then john is wise.
If alice is rich or generous then someone... | Alice is not creative. | neutral | (![X]:((~creative(X)|~old(X))<=>(patient(X)|~rich(X))))&
(![X]:((~rich(X)<~>funny(X))<=>(quiet(X)|old(X))))&
((~rich(mary))<=>(?[X]:((~wise(X)|~kind(X)))))&
((?[X]:((~strong(X)|humble(X))))=>(wise(john)))&
(((rich(alice)|generous(alice)))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:(strong(X)<=>patient(X)))&
(((~old(ma... | ~creative(alice) | [] | null | 0 |
If someone is either patient or not generous then lucy is both not curious and strong and vice versa. Everyone who is both not rich and humble is both brave and not funny and vice versa. Everyone who is rich or not rich is brave and vice versa. Everyone who is quiet is both not generous and not brave. If someone is eit... | John is not humble. | contradiction | ((?[X]:((patient(X)<~>~generous(X))))<=>((~curious(lucy)&strong(lucy))))&
(![X]:((~rich(X)&humble(X))<=>(brave(X)&~funny(X))))&
(![X]:((rich(X)|~rich(X))<=>brave(X)))&
(![X]:(quiet(X)=>(~generous(X)&~brave(X))))&
((?[X]:((happy(X)<~>~quiet(X))))<=>(?[X]:((funny(X)&~tall(X)))))&
(![X]:((~happy(X)<~>patient(X))=>(~humble... | ~humble(john) | [
"p2",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4247993879311933078686711
% SZS output start Proof for 4247993879311933078686711
3. ! [X0] : ((~rich(X0) | rich(X0)) <=> brave(X0)) [input p2]
13. ! [X0] : ((creative(X0) | ~humble(X0)) <=> kind(X0)) [input p12]
17. ~brave(john) <~> ~kind(john) [input p16]
25. ~humble(john) [input hypothe... | 0 |
If john is not brave then mary is funny or not humble and vice versa.
Everyone who is both happy and curious is not old or not creative.
Everyone who is not quiet or not kind is both not quiet and not kind and vice versa.
Everyone who is not tall is calm or quiet.
Everyone who is kind is either not patient or not tall ... | Susan is not patient. | contradiction | ((~brave(john))<=>((funny(mary)|~humble(mary))))&
(![X]:((happy(X)&curious(X))=>(~old(X)|~creative(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(~quiet(X)&~kind(X))))&
(![X]:(~tall(X)=>(calm(X)|quiet(X))))&
(![X]:(kind(X)<=>(~patient(X)<~>~tall(X))))&
(![X]:(~creative(X)<=>(~funny(X)&funny(X))))&
(((~calm(paul)|~rich(paul)))<=... | ~patient(susan) | [
"p2",
"p3",
"p4",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8633444794297247556187756
% SZS output start Proof for 8633444794297247556187756
3. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~kind(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (~tall(X0) => (quiet(X0) | calm(X0))) [input p3]
5. ! [X0] : (kind(X0) <=> (~patient(X0) <~> ~tall(X0))) [input p4]
8... | 0 |
Everyone who is both not rich and not curious is both not calm and not generous.
If someone is not generous or not humble then someone is both not old and curious.
Everyone who is either not patient or funny is either not funny or rich.
Everyone who is strong is both not funny and not old.
Everyone who is both quiet an... | Paul is not curious. | neutral | (![X]:((~rich(X)&~curious(X))=>(~calm(X)&~generous(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((~patient(X)<~>funny(X))=>(~funny(X)<~>rich(X))))&
(![X]:(strong(X)=>(~funny(X)&~old(X))))&
(![X]:((quiet(X)&~generous(X))=>(calm(X)|~calm(X))))&
(![X]:(generous(X)<=>(~calm(X)|generous(... | ~curious(paul) | [] | null | 0 |
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred is not kind or strong.
If someone is both not patient and patient then someone is both not brave and not humble.
Everyone who is both wise and patient is bot... | Lucy is not funny. | entailment | (![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)&~happy(X))))&
(![X]:(funny(X)<=>(tall(X)<~>rich... | ~funny(lucy) | [
"p5",
"p6",
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6373777414139461478723724
% SZS output start Proof for 6373777414139461478723724
6. ! [X0] : (funny(X0) <=> (tall(X0) <~> rich(X0))) [input p5]
7. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p6]
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~brave(X0) & happy(X0))) [in... | 0 |
Everyone who is not happy or not creative is both not quiet and not calm and vice versa.
Everyone who is either not funny or not happy is not quiet or not rich and vice versa.
If fred is not tall or tall then someone is both not rich and tall and vice versa.
If someone is either not quiet or kind then someone is not wi... | Fred is rich. | contradiction | (![X]:((~happy(X)|~creative(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~quiet(X)|~rich(X))))&
(((~tall(fred)|tall(fred)))<=>(?[X]:((~rich(X)&tall(X)))))&
((?[X]:((~quiet(X)<~>kind(X))))<=>(?[X]:((~wise(X)|patient(X)))))&
((curious(john))<=>(?[X]:((~quiet(X)|old(X)))))&
((?[X]:((brave(X)<~>old(X))))... | rich(fred) | [
"p0",
"p1",
"p5",
"p9",
"p10",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4315615912230579940301062
% SZS output start Proof for 4315615912230579940301062
1. ! [X0] : ((~creative(X0) | ~happy(X0)) <=> (~calm(X0) & ~quiet(X0))) [input p0]
2. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> (~rich(X0) | ~quiet(X0))) [input p1]
6. ? [X0] : (brave(X0) <~> old(X0)) <=> ~fu... | 0 |
Everyone who is either patient or not wise is humble and vice versa. Everyone who is both not calm and not quiet is happy. Everyone who is either creative or kind is either calm or not wise. If lucy is rich then paul is not quiet or brave. Everyone who is both not strong and not quiet is both tall and old. If someone i... | Paul is calm. | contradiction | (![X]:((patient(X)<~>~wise(X))<=>humble(X)))&
(![X]:((~calm(X)&~quiet(X))=>happy(X)))&
(![X]:((creative(X)<~>kind(X))=>(calm(X)<~>~wise(X))))&
((rich(lucy))=>((~quiet(paul)|brave(paul))))&
(![X]:((~strong(X)&~quiet(X))=>(tall(X)&old(X))))&
((?[X]:(~creative(X)))<=>(~happy(lucy)))&
(![X]:(patient(X)=>(tall(X)&kind(X))))... | calm(paul) | [
"p0",
"p2",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4889754894703829539209602
% SZS output start Proof for 4889754894703829539209602
1. ! [X0] : ((patient(X0) <~> ~wise(X0)) <=> humble(X0)) [input p0]
3. ! [X0] : ((creative(X0) <~> kind(X0)) => (calm(X0) <~> ~wise(X0))) [input p2]
9. ? [X0] : (~creative(X0) & creative(X0)) <=> ? [X0] : (cr... | 0 |
If lucy is either not tall or tall then alice is humble and vice versa.
Everyone who is either not old or not quiet is curious or not creative and vice versa.
Everyone who is strong or brave is not patient.
Everyone who is either not generous or not funny is both not creative and not patient and vice versa.
Everyone wh... | Alice is not creative. | contradiction | (((~tall(lucy)<~>tall(lucy)))<=>(humble(alice)))&
(![X]:((~old(X)<~>~quiet(X))<=>(curious(X)|~creative(X))))&
(![X]:((strong(X)|brave(X))=>~patient(X)))&
(![X]:((~generous(X)<~>~funny(X))<=>(~creative(X)&~patient(X))))&
(![X]:((humble(X)|~strong(X))<=>(patient(X)&~brave(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(humble(... | ~creative(alice) | [
"p0",
"p1",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7245450609451646518489431
% SZS output start Proof for 7245450609451646518489431
1. (~tall(lucy) <~> tall(lucy)) <=> humble(alice) [input p0]
2. ! [X0] : ((~old(X0) <~> ~quiet(X0)) <=> (~creative(X0) | curious(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | humble(X0)) <=> (~brave(X0) & pati... | 0 |
If john is both not old and kind then fred is both humble and not quiet.
Everyone who is not kind or not generous is patient or not wise and vice versa.
If someone is either not funny or old then someone is not brave or quiet and vice versa.
If lucy is not humble or generous then john is happy or not funny.
Everyone wh... | Lucy is funny. | entailment | (((~old(john)&kind(john)))=>((humble(fred)&~quiet(fred))))&
(![X]:((~kind(X)|~generous(X))<=>(patient(X)|~wise(X))))&
((?[X]:((~funny(X)<~>old(X))))<=>(?[X]:((~brave(X)|quiet(X)))))&
(((~humble(lucy)|generous(lucy)))=>((happy(john)|~funny(john))))&
(![X]:((kind(X)|~wise(X))<=>(generous(X)<~>kind(X))))&
((?[X]:((rich(X)... | funny(lucy) | [
"p1",
"p4",
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 845413665192437562838890
% SZS output start Proof for 845413665192437562838890
2. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~wise(X0) | patient(X0))) [input p1]
5. ! [X0] : ((~wise(X0) | kind(X0)) <=> (generous(X0) <~> kind(X0))) [input p4]
6. ? [X0] : (~creative(X0) | rich(X0)) <=> (qui... | 0 |
Everyone who is either funny or old is either kind or tall and vice versa.
Everyone who is both not rich and brave is either patient or creative and vice versa.
If paul is not strong or not generous then susan is not creative.
If alice is either tall or not humble then susan is patient and vice versa.
Everyone who is n... | Paul is not old. | entailment | (![X]:((funny(X)<~>old(X))<=>(kind(X)<~>tall(X))))&
(![X]:((~rich(X)&brave(X))<=>(patient(X)<~>creative(X))))&
(((~strong(paul)|~generous(paul)))=>(~creative(susan)))&
(((tall(alice)<~>~humble(alice)))<=>(patient(susan)))&
(![X]:(~creative(X)=>quiet(X)))&
(((~calm(fred)|~curious(fred)))=>((~generous(john)|patient(john)... | ~old(paul) | [
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4108895016249524967886167
% SZS output start Proof for 4108895016249524967886167
8. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (wise(X0) & ~creative(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | ~strong(X0)) <=> ~humble(X0)) [input p9]
11. ! [X0] : ((~happy(X0) | ~generous(X0)) => ~old(... | 0 |
If mary is either not generous or not creative then someone is either old or not happy.
Everyone who is either kind or patient is either strong or creative and vice versa.
Everyone who is not patient or not happy is not generous.
Everyone who is not humble is not wise or creative.
If fred is either not patient or not c... | Paul is not old. | neutral | (((~generous(mary)<~>~creative(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((kind(X)<~>patient(X))<=>(strong(X)<~>creative(X))))&
(![X]:((~patient(X)|~happy(X))=>~generous(X)))&
(![X]:(~humble(X)=>(~wise(X)|creative(X))))&
(((~patient(fred)<~>~calm(fred)))=>(?[X]:((old(X)|~humble(X)))))&
(![X]:(funny(X)=>~tall(X)))&... | ~old(paul) | [] | null | 0 |
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or not old is not calm or not strong.
If alice is either not strong or old then someone is both not funny and not wise and vice versa.
Everyone who is not kind or not wise is not tall or not old and vice versa.
Everyone who is b... | John is not rich. | entailment | (![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((~kind(X)|~wise(X))<=>(~tall(X)|~old(X))))&
(![X]:((humble(X)&generous(X))<=>(~generous(X)|creative(X))))&
(![X]:((old(X)<~>creative(X))=>(~gener... | ~rich(john) | [
"p0",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3536947273024226935824235
% SZS output start Proof for 3536947273024226935824235
1. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p0]
4. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> (~old(X0) | ~tall(X0))) [input p3]
5. ! [X0] : ((generous(X0) & humble(X0)) <=> (creative(X0) | ~g... | 0 |
If someone is not tall then lucy is both not strong and not happy.
Everyone who is either not kind or funny is not quiet or happy and vice versa.
If alice is both not creative and rich then lucy is both happy and humble and vice versa.
If someone is either not humble or strong then someone is humble or strong and vice ... | John is not rich. | entailment | ((?[X]:(~tall(X)))=>((~strong(lucy)&~happy(lucy))))&
(![X]:((~kind(X)<~>funny(X))<=>(~quiet(X)|happy(X))))&
(((~creative(alice)&rich(alice)))<=>((happy(lucy)&humble(lucy))))&
((?[X]:((~humble(X)<~>strong(X))))<=>(?[X]:((humble(X)|strong(X)))))&
((?[X]:((~funny(X)|old(X))))<=>((~strong(lucy)&~creative(lucy))))&
(![X]:((... | ~rich(john) | [
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5171877899097543185384712
% SZS output start Proof for 5171877899097543185384712
10. (funny(john) & ~rich(john)) <=> ? [X0] : (~wise(X0) <~> ~quiet(X0)) [input p9]
15. ? [X0] : (~humble(X0) | wise(X0)) <=> (wise(john) <~> quiet(john)) [input p14]
21. ~humble(fred) [input p20]
25. rich(joh... | 0 |
If someone is either strong or tall then someone is either tall or humble and vice versa. Everyone who is not calm is not generous or calm and vice versa. If someone is both wise and rich then mary is either not kind or rich. If fred is both not generous and not creative then someone is either not old or not happy and ... | John is happy. | neutral | ((?[X]:((strong(X)<~>tall(X))))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:(~calm(X)<=>(~generous(X)|calm(X))))&
((?[X]:((wise(X)&rich(X))))=>((~kind(mary)<~>rich(mary))))&
(((~generous(fred)&~creative(fred)))<=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(~wise(X)))=>(?[X]:(~humble(X))))&
(((~calm(alice)&kind(alice)))=>(?[X... | happy(john) | [] | null | 0 |
If someone is either not old or wise then fred is kind and vice versa.
Everyone who is not strong is both not quiet and kind.
Everyone who is both not creative and kind is both not happy and wise and vice versa.
If paul is creative then someone is brave and vice versa.
Everyone who is both old and humble is not curious... | Paul is not brave. | contradiction | ((?[X]:((~old(X)<~>wise(X))))<=>(kind(fred)))&
(![X]:(~strong(X)=>(~quiet(X)&kind(X))))&
(![X]:((~creative(X)&kind(X))<=>(~happy(X)&wise(X))))&
((creative(paul))<=>(?[X]:(brave(X))))&
(![X]:((old(X)&humble(X))<=>~curious(X)))&
(![X]:((~humble(X)|quiet(X))=>brave(X)))&
(![X]:((creative(X)<~>~funny(X))=>(creative(X)|~cur... | ~brave(paul) | [
"p5",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8587402728554101103547209
% SZS output start Proof for 8587402728554101103547209
6. ! [X0] : ((quiet(X0) | ~humble(X0)) => brave(X0)) [input p5]
9. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> ~rich(X0)) [input p8]
15. ! [X0] : ((generous(X0) | rich(X0)) <=> (quiet(X0) <~> ~quiet(X0))) [input p... | 0 |
If fred is strong then someone is strong or humble. If someone is both not curious and not old then alice is not kind and vice versa. If someone is happy or funny then someone is both not kind and kind. Everyone who is kind is not humble and vice versa. Everyone who is both not rich and rich is old or tall. Everyone wh... | Fred is not quiet. | entailment | ((strong(fred))=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((~curious(X)&~old(X))))<=>(~kind(alice)))&
((?[X]:((happy(X)|funny(X))))=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:(kind(X)<=>~humble(X)))&
(![X]:((~rich(X)&rich(X))=>(old(X)|tall(X))))&
(![X]:(~funny(X)<=>(curious(X)&~patient(X))))&
(![X]:((~humble(X)|patient(X))<=>... | ~quiet(fred) | [
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9063950526000470879540215
% SZS output start Proof for 9063950526000470879540215
6. ! [X0] : (~funny(X0) <=> (~patient(X0) & curious(X0))) [input p5]
8. ! [X0] : (~kind(X0) <=> (patient(X0) & wise(X0))) [input p7]
9. ! [X0] : (~funny(X0) <=> (~brave(X0) <~> brave(X0))) [input p8]
13. ! [X... | 0 |
Everyone who is not old is not happy or old and vice versa. If someone is brave or not happy then someone is humble or not wise. Everyone who is not patient or humble is patient and vice versa. If paul is either not old or not quiet then someone is generous and vice versa. Everyone who is strong is not creative or not ... | Paul is not patient. | contradiction | (![X]:(~old(X)<=>(~happy(X)|old(X))))&
((?[X]:((brave(X)|~happy(X))))=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:((~patient(X)|humble(X))<=>patient(X)))&
(((~old(paul)<~>~quiet(paul)))<=>(?[X]:(generous(X))))&
(![X]:(strong(X)=>(~creative(X)|~happy(X))))&
(![X]:((~creative(X)&tall(X))<=>rich(X)))&
(((~curious(alice)<~>~wis... | ~patient(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3876520804815254686369207
% SZS output start Proof for 3876520804815254686369207
3. ! [X0] : ((humble(X0) | ~patient(X0)) <=> patient(X0)) [input p2]
24. ~patient(paul) [input hypothesis]
47. ! [X0] : (((humble(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (~humble(X0) & patient(X0... | 0 |
Everyone who is not happy is either not happy or tall and vice versa. If someone is creative then john is either not humble or not brave and vice versa. If alice is either not patient or not happy then someone is patient and vice versa. If lucy is either not strong or old then someone is not calm or not quiet. Everyone... | Alice is wise. | neutral | (![X]:(~happy(X)<=>(~happy(X)<~>tall(X))))&
((?[X]:(creative(X)))<=>((~humble(john)<~>~brave(john))))&
(((~patient(alice)<~>~happy(alice)))<=>(?[X]:(patient(X))))&
(((~strong(lucy)<~>old(lucy)))=>(?[X]:((~calm(X)|~quiet(X)))))&
(![X]:(~patient(X)<=>(~tall(X)|~calm(X))))&
(![X]:((patient(X)&kind(X))<=>(~rich(X)<~>brave(... | wise(alice) | [] | null | 0 |
If someone is either old or not wise then someone is either strong or funny and vice versa.
If mary is old or strong then fred is either not quiet or creative and vice versa.
Everyone who is humble or not kind is both creative and happy.
If someone is not tall or not funny then john is calm and vice versa.
Everyone who... | Fred is patient. | neutral | ((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((strong(X)<~>funny(X)))))&
(((old(mary)|strong(mary)))<=>((~quiet(fred)<~>creative(fred))))&
(![X]:((humble(X)|~kind(X))=>(creative(X)&happy(X))))&
((?[X]:((~tall(X)|~funny(X))))<=>(calm(john)))&
(![X]:((~kind(X)<~>curious(X))<=>kind(X)))&
(((quiet(alice)|old(alice)))=>(?[X]:((~cr... | patient(fred) | [] | null | 0 |
Everyone who is not patient is both humble and funny and vice versa. Everyone who is wise is either not tall or happy and vice versa. If someone is not strong or not calm then fred is either not quiet or funny and vice versa. Everyone who is both not quiet and patient is either not rich or humble and vice versa. Everyo... | Fred is not humble. | contradiction | (![X]:(~patient(X)<=>(humble(X)&funny(X))))&
(![X]:(wise(X)<=>(~tall(X)<~>happy(X))))&
((?[X]:((~strong(X)|~calm(X))))<=>((~quiet(fred)<~>funny(fred))))&
(![X]:((~quiet(X)&patient(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((kind(X)&funny(X))=>(~calm(X)<~>kind(X))))&
((?[X]:((calm(X)|kind(X))))<=>((funny(susan)<~>generous(s... | ~humble(fred) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2765409193076940060255295
% SZS output start Proof for 2765409193076940060255295
1. ! [X0] : (~patient(X0) <=> (funny(X0) & humble(X0))) [input p0]
4. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> (~rich(X0) <~> humble(X0))) [input p3]
7. ! [X0] : ((~funny(X0) <~> quiet(X0)) <=> ~quiet(X0)) [i... | 0 |
Everyone who is funny or humble is not creative and vice versa.
Everyone who is both not brave and rich is tall or brave and vice versa.
Everyone who is not rich or humble is not rich and vice versa.
If someone is either patient or not humble then someone is old or not tall.
Everyone who is both not wise and old is eit... | Mary is not rich. | neutral | (![X]:((funny(X)|humble(X))<=>~creative(X)))&
(![X]:((~brave(X)&rich(X))<=>(tall(X)|brave(X))))&
(![X]:((~rich(X)|humble(X))<=>~rich(X)))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((~wise(X)&old(X))<=>(~brave(X)<~>~strong(X))))&
((?[X]:((~rich(X)&patient(X))))=>(?[X]:((~rich(X)<~>curious(... | ~rich(mary) | [] | null | 0 |
If fred is either happy or not rich then john is not calm or not rich and vice versa.
Everyone who is either not rich or calm is not rich and vice versa.
Everyone who is not tall or not creative is both not quiet and not happy.
If someone is either generous or not wise then someone is creative or not quiet.
Everyone wh... | Susan is not calm. | entailment | (((happy(fred)<~>~rich(fred)))<=>((~calm(john)|~rich(john))))&
(![X]:((~rich(X)<~>calm(X))<=>~rich(X)))&
(![X]:((~tall(X)|~creative(X))=>(~quiet(X)&~happy(X))))&
((?[X]:((generous(X)<~>~wise(X))))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:(~quiet(X)<=>(strong(X)<~>calm(X))))&
(![X]:(wise(X)=>(~generous(X)<~>creative(X)... | ~calm(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8386855658965164393733695
% SZS output start Proof for 8386855658965164393733695
2. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> ~rich(X0)) [input p1]
25. calm(susan) [input hypothesis]
43. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | rich(X0)) & (~rich(X0) | ((~rich(X0) | ~ca... | 0 |
Everyone who is not strong or wise is both happy and curious.
If susan is both old and quiet then fred is either patient or not strong.
If someone is not curious then someone is old or strong.
If someone is not tall then someone is both calm and not happy and vice versa.
If alice is tall then susan is not happy or crea... | John is patient. | neutral | (![X]:((~strong(X)|wise(X))=>(happy(X)&curious(X))))&
(((old(susan)&quiet(susan)))=>((patient(fred)<~>~strong(fred))))&
((?[X]:(~curious(X)))=>(?[X]:((old(X)|strong(X)))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)&~happy(X)))))&
((tall(alice))<=>((~happy(susan)|creative(susan))))&
(![X]:((kind(X)&funny(X))=>(~happy(X)|kind... | patient(john) | [] | null | 0 |
Everyone who is either not happy or not rich is either not kind or not patient and vice versa.
Everyone who is kind or humble is both not happy and calm.
Everyone who is not generous is kind or tall and vice versa.
If someone is both calm and not patient then john is either strong or kind.
Everyone who is either curiou... | Mary is not funny. | neutral | (![X]:((~happy(X)<~>~rich(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((kind(X)|humble(X))=>(~happy(X)&calm(X))))&
(![X]:(~generous(X)<=>(kind(X)|tall(X))))&
((?[X]:((calm(X)&~patient(X))))=>((strong(john)<~>kind(john))))&
(![X]:((curious(X)<~>~old(X))<=>(kind(X)|~calm(X))))&
((~rich(paul))=>(humble(alice)))&
(![X]:((~quie... | ~funny(mary) | [] | null | 0 |
If someone is both strong and happy then paul is not tall and vice versa.
If someone is either not funny or kind then someone is patient and vice versa.
Everyone who is not generous is not rich or creative and vice versa.
Everyone who is either not calm or funny is not funny and vice versa.
Everyone who is not wise or ... | Mary is generous. | neutral | ((?[X]:((strong(X)&happy(X))))<=>(~tall(paul)))&
((?[X]:((~funny(X)<~>kind(X))))<=>(?[X]:(patient(X))))&
(![X]:(~generous(X)<=>(~rich(X)|creative(X))))&
(![X]:((~calm(X)<~>funny(X))<=>~funny(X)))&
(![X]:((~wise(X)|strong(X))<=>(happy(X)|humble(X))))&
(![X]:((~kind(X)&~humble(X))=>(~tall(X)|~humble(X))))&
(![X]:((~brave... | generous(mary) | [] | null | 0 |
Everyone who is not kind is both creative and wise.
If someone is not humble then someone is not creative or rich.
Everyone who is wise or not wise is both not strong and not tall.
Everyone who is either not rich or not happy is not funny.
Everyone who is not humble or not strong is either funny or not kind.
If susan i... | Susan is not creative. | neutral | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((wise(X)|~wise(X))=>(~strong(X)&~tall(X))))&
(![X]:((~rich(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~humble(X)|~strong(X))=>(funny(X)<~>~kind(X))))&
(((old(susan)&~patient(susan)))<=>(?[X]:(~generous(X))))&
(![X]:(wise... | ~creative(susan) | [] | null | 0 |
If mary is either creative or kind then mary is tall or strong and vice versa.
If someone is either quiet or not quiet then someone is curious or not quiet and vice versa.
If susan is both brave and not generous then someone is both funny and humble and vice versa.
If john is calm then someone is either patient or gene... | Susan is not creative. | contradiction | (((creative(mary)<~>kind(mary)))<=>((tall(mary)|strong(mary))))&
((?[X]:((quiet(X)<~>~quiet(X))))<=>(?[X]:((curious(X)|~quiet(X)))))&
(((brave(susan)&~generous(susan)))<=>(?[X]:((funny(X)&humble(X)))))&
((calm(john))<=>(?[X]:((patient(X)<~>generous(X)))))&
(![X]:((~patient(X)&wise(X))=>~tall(X)))&
(((~creative(fred)&pa... | ~creative(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7345238977285680781530529
% SZS output start Proof for 7345238977285680781530529
15. ! [X0] : (creative(X0) <=> (~calm(X0) | calm(X0))) [input p14]
25. ~creative(susan) [input hypothesis]
66. ! [X0] : ((creative(X0) | (calm(X0) & ~calm(X0))) & ((~calm(X0) | calm(X0)) | ~creative(X0))) [nn... | 0 |
If john is either kind or not strong then someone is rich or not wise. If someone is both not old and kind then john is both wise and not calm. Everyone who is both funny and rich is both strong and generous and vice versa. Everyone who is both tall and not wise is calm or wise and vice versa. If fred is either not old... | Lucy is generous. | contradiction | (((kind(john)<~>~strong(john)))=>(?[X]:((rich(X)|~wise(X)))))&
((?[X]:((~old(X)&kind(X))))=>((wise(john)&~calm(john))))&
(![X]:((funny(X)&rich(X))<=>(strong(X)&generous(X))))&
(![X]:((tall(X)&~wise(X))<=>(calm(X)|wise(X))))&
(((~old(fred)<~>~rich(fred)))=>((wise(lucy)&brave(lucy))))&
(![X]:((~kind(X)&wise(X))=>(humble(... | generous(lucy) | [
"p2",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1261846463727227058825961
% SZS output start Proof for 1261846463727227058825961
3. ! [X0] : ((rich(X0) & funny(X0)) <=> (generous(X0) & strong(X0))) [input p2]
7. ! [X0] : (~creative(X0) <=> (~creative(X0) <~> curious(X0))) [input p6]
12. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (patient(X0... | 0 |
Everyone who is both funny and quiet is not humble. Everyone who is not kind is both old and funny and vice versa. If susan is not tall or tall then someone is funny or kind. If someone is rich or not wise then john is not funny or not humble and vice versa. Everyone who is both calm and not creative is either not funn... | Paul is funny. | neutral | (![X]:((funny(X)&quiet(X))=>~humble(X)))&
(![X]:(~kind(X)<=>(old(X)&funny(X))))&
(((~tall(susan)|tall(susan)))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(((rich(john)<~>~funny(john)))<=>(?[X]:((~old(X)|~humb... | funny(paul) | [] | null | 0 |
If someone is old then someone is both brave and not curious.
Everyone who is both patient and not old is both not funny and not wise.
Everyone who is not old is both funny and not old.
If someone is happy or not generous then someone is either quiet or not generous and vice versa.
Everyone who is both wise and not hum... | John is funny. | entailment | ((?[X]:(old(X)))=>(?[X]:((brave(X)&~curious(X)))))&
(![X]:((patient(X)&~old(X))=>(~funny(X)&~wise(X))))&
(![X]:(~old(X)=>(funny(X)&~old(X))))&
((?[X]:((happy(X)|~generous(X))))<=>(?[X]:((quiet(X)<~>~generous(X)))))&
(![X]:((wise(X)&~humble(X))<=>(~creative(X)&humble(X))))&
(![X]:((~creative(X)&wise(X))<=>(~happy(X)|~ri... | funny(john) | [
"p5",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8131995334286749848206142
% SZS output start Proof for 8131995334286749848206142
6. ! [X0] : ((wise(X0) & ~creative(X0)) <=> (~rich(X0) | ~happy(X0))) [input p5]
14. ! [X0] : (~happy(X0) <=> ~funny(X0)) [input p13]
23. creative(john) & ~quiet(john) [input p22]
25. ~funny(john) [input hypo... | 0 |
If someone is either not creative or not generous then paul is strong or not happy. If someone is happy then susan is not generous. Everyone who is funny or not quiet is both generous and kind and vice versa. If someone is both not generous and not tall then someone is humble or not humble. Everyone who is not humble o... | Alice is not creative. | contradiction | ((?[X]:((~creative(X)<~>~generous(X))))=>((strong(paul)|~happy(paul))))&
((?[X]:(happy(X)))=>(~generous(susan)))&
(![X]:((funny(X)|~quiet(X))<=>(generous(X)&kind(X))))&
((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:((~humble(X)|happy(X))=>(old(X)<~>tall(X))))&
(![X]:((kind(X)|humble(X))=>(~... | ~creative(alice) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 662398489104264551789356
% SZS output start Proof for 662398489104264551789356
6. ! [X0] : ((humble(X0) | kind(X0)) => (old(X0) & ~curious(X0))) [input p5]
7. ! [X0] : (old(X0) => (curious(X0) & humble(X0))) [input p6]
13. (creative(alice) | old(alice)) <=> ~kind(alice) [input p12]
23. ~c... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.