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 not strong or not tall is both not happy and not patient and vice versa.
Everyone who is either not creative or generous is either not funny or not humble and vice versa.
If mary is either not generous or not brave then mary is happy and vice versa.
Everyone who is strong is not calm or not humble.
Ever... | Fred is not calm. | entailment | (![X]:((~strong(X)|~tall(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(~funny(X)<~>~humble(X))))&
(((~generous(mary)<~>~brave(mary)))<=>(happy(mary)))&
(![X]:(strong(X)=>(~calm(X)|~humble(X))))&
(![X]:(~creative(X)<=>(~calm(X)<~>brave(X))))&
(![X]:(patient(X)<=>(kind(X)<~>generous(X))))&
(((~c... | ~calm(fred) | [
"p0",
"p3",
"p8",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3140831758892847128430198
% SZS output start Proof for 3140831758892847128430198
1. ! [X0] : ((~tall(X0) | ~strong(X0)) <=> (~patient(X0) & ~happy(X0))) [input p0]
4. ! [X0] : (strong(X0) => (~humble(X0) | ~calm(X0))) [input p3]
9. ! [X0] : ((~patient(X0) <~> generous(X0)) <=> (patient(X0... | 0 |
Everyone who is not generous is both not tall and not generous and vice versa.
If paul is strong or humble then someone is tall or not generous and vice versa.
Everyone who is either not happy or generous is both strong and old.
Everyone who is both strong and tall is both happy and calm and vice versa.
Everyone who is... | Alice is not kind. | entailment | (![X]:(~generous(X)<=>(~tall(X)&~generous(X))))&
(((strong(paul)|humble(paul)))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((~happy(X)<~>generous(X))=>(strong(X)&old(X))))&
(![X]:((strong(X)&tall(X))<=>(happy(X)&calm(X))))&
(![X]:(~kind(X)<=>(strong(X)<~>~rich(X))))&
(![X]:((rich(X)<~>strong(X))<=>(patient(X)&~funny(X))... | ~kind(alice) | [
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4598110128855360509935635
% SZS output start Proof for 4598110128855360509935635
6. ! [X0] : ((rich(X0) <~> strong(X0)) <=> (~funny(X0) & patient(X0))) [input p5]
11. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (~patient(X0) & generous(X0))) [input p10]
13. ! [X0] : ((kind(X0) | ~kind(X0)) => (... | 0 |
Everyone who is either not curious or generous is humble and vice versa. Everyone who is old is either happy or not creative. Everyone who is both old and wise is both funny and not humble and vice versa. Everyone who is tall or brave is not kind. If someone is either generous or kind then alice is either strong or not... | Alice is tall. | neutral | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)... | tall(alice) | [] | null | 0 |
Everyone who is either humble or kind is both not strong and strong and vice versa. Everyone who is not generous or not quiet is either strong or kind and vice versa. Everyone who is not wise or not creative is both not funny and strong and vice versa. If mary is kind or not patient then alice is either tall or curious... | John is not happy. | neutral | (![X]:((humble(X)<~>kind(X))<=>(~strong(X)&strong(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(strong(X)<~>kind(X))))&
(![X]:((~wise(X)|~creative(X))<=>(~funny(X)&strong(X))))&
(((kind(mary)|~patient(mary)))<=>((tall(alice)<~>curious(alice))))&
(![X]:(~creative(X)<=>(brave(X)&kind(X))))&
(![X]:((~funny(X)|~patient(X))<=>~... | ~happy(john) | [] | null | 0 |
Everyone who is curious or calm is both kind and old.
If someone is patient or not tall then john is either not quiet or not wise.
Everyone who is both not creative and patient is either not strong or rich and vice versa.
Everyone who is both not curious and not calm is either creative or not humble and vice versa.
If ... | Alice is funny. | neutral | (![X]:((curious(X)|calm(X))=>(kind(X)&old(X))))&
((?[X]:((patient(X)|~tall(X))))=>((~quiet(john)<~>~wise(john))))&
(![X]:((~creative(X)&patient(X))<=>(~strong(X)<~>rich(X))))&
(![X]:((~curious(X)&~calm(X))<=>(creative(X)<~>~humble(X))))&
((?[X]:((wise(X)|rich(X))))<=>((tall(alice)|creative(alice))))&
(((~humble(alice)|... | funny(alice) | [] | null | 0 |
If someone is either not strong or wise then fred is curious and vice versa. If paul is not patient then someone is not wise and vice versa. If someone is both not wise and humble then alice is not wise or happy. Everyone who is both calm and not patient is both funny and not wise and vice versa. If someone is either t... | Paul is creative. | neutral | ((?[X]:((~strong(X)<~>wise(X))))<=>(curious(fred)))&
((~patient(paul))<=>(?[X]:(~wise(X))))&
((?[X]:((~wise(X)&humble(X))))=>((~wise(alice)|happy(alice))))&
(![X]:((calm(X)&~patient(X))<=>(funny(X)&~wise(X))))&
((?[X]:((tall(X)<~>~tall(X))))=>(?[X]:(kind(X))))&
((?[X]:((~kind(X)|~wise(X))))<=>(?[X]:(~creative(X))))&
((... | creative(paul) | [] | null | 0 |
Everyone who is generous or humble is either kind or wise and vice versa.
If someone is both quiet and tall then susan is either not rich or generous and vice versa.
Everyone who is not brave is old and vice versa.
If mary is both humble and not humble then john is old and vice versa.
Everyone who is not quiet is eithe... | Susan is brave. | entailment | (![X]:((generous(X)|humble(X))<=>(kind(X)<~>wise(X))))&
((?[X]:((quiet(X)&tall(X))))<=>((~rich(susan)<~>generous(susan))))&
(![X]:(~brave(X)<=>old(X)))&
(((humble(mary)&~humble(mary)))<=>(old(john)))&
(![X]:(~quiet(X)<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~patient(X)&funny(X))))<=>((~humble(paul)<~>brave(paul))))&
(![X]... | brave(susan) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3304141178552644908889038
% SZS output start Proof for 3304141178552644908889038
3. ! [X0] : (~brave(X0) <=> old(X0)) [input p2]
21. patient(susan) & ~old(susan) [input p20]
24. ~brave(susan) [input hypothesis]
39. ! [X0] : ((~brave(X0) | ~old(X0)) & (old(X0) | brave(X0))) [nnf transforma... | 0 |
Everyone who is both curious and tall is not old or wise and vice versa. If someone is not calm or old then mary is strong or not kind and vice versa. Everyone who is not humble is rich and vice versa. If someone is not creative then someone is happy or calm. Everyone who is both not funny and kind is not wise or not k... | Lucy is humble. | entailment | (![X]:((curious(X)&tall(X))<=>(~old(X)|wise(X))))&
((?[X]:((~calm(X)|old(X))))<=>((strong(mary)|~kind(mary))))&
(![X]:(~humble(X)<=>rich(X)))&
((?[X]:(~creative(X)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((~funny(X)&kind(X))<=>(~wise(X)|~kind(X))))&
((strong(alice))<=>((~creative(susan)|~curious(susan))))&
(((strong(luc... | humble(lucy) | [
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6655851730382540276455783
% SZS output start Proof for 6655851730382540276455783
3. ! [X0] : (~humble(X0) <=> rich(X0)) [input p2]
20. ~rich(lucy) & funny(lucy) [input p19]
23. ~humble(lucy) [input hypothesis]
28. ! [X0] : (~humble(X0) => rich(X0)) [unused predicate definition removal 3]
... | 0 |
Everyone who is not tall is either curious or happy. Everyone who is not patient is tall or quiet and vice versa. If someone is not brave then someone is not calm or creative. If lucy is humble or strong then someone is both curious and not strong and vice versa. Everyone who is rich or not funny is either funny or str... | John is creative. | contradiction | (![X]:(~tall(X)=>(curious(X)<~>happy(X))))&
(![X]:(~patient(X)<=>(tall(X)|quiet(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~calm(X)|creative(X)))))&
(((humble(lucy)|strong(lucy)))<=>(?[X]:((curious(X)&~strong(X)))))&
(![X]:((rich(X)|~funny(X))=>(funny(X)<~>strong(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((brave(X)|cre... | creative(john) | [
"p1",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3972906482410530492668
% SZS output start Proof for 3972906482410530492668
2. ! [X0] : (~patient(X0) <=> (quiet(X0) | tall(X0))) [input p1]
14. ! [X0] : ((wise(X0) | patient(X0)) <=> (old(X0) | creative(X0))) [input p13]
22. tall(john) & ~wise(john) [input p21]
25. creative(john) [input h... | 0 |
Everyone who is not calm or brave is not wise.
If someone is creative or funny then someone is either not happy or happy.
If john is either old or not wise then lucy is either not generous or happy and vice versa.
If someone is humble or not tall then mary is not rich.
If someone is both not old and creative then someo... | Susan is not humble. | neutral | (![X]:((~calm(X)|brave(X))=>~wise(X)))&
((?[X]:((creative(X)|funny(X))))=>(?[X]:((~happy(X)<~>happy(X)))))&
(((old(john)<~>~wise(john)))<=>((~generous(lucy)<~>happy(lucy))))&
((?[X]:((humble(X)|~tall(X))))=>(~rich(mary)))&
((?[X]:((~old(X)&creative(X))))=>(?[X]:(funny(X))))&
(![X]:(quiet(X)<=>(~brave(X)|generous(X))))&... | ~humble(susan) | [] | null | 0 |
If someone is both humble and patient then someone is both not calm and humble and vice versa.
If someone is not humble then someone is quiet or not kind and vice versa.
Everyone who is calm or not rich is patient or not rich and vice versa.
If someone is either not creative or brave then alice is either not quiet or c... | Mary is tall. | entailment | ((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~calm(X)&humble(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((quiet(X)|~kind(X)))))&
(![X]:((calm(X)|~rich(X))<=>(patient(X)|~rich(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((~quiet(alice)<~>calm(alice))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X... | tall(mary) | [
"p2",
"p9",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4979131025585030144452871
% SZS output start Proof for 4979131025585030144452871
3. ! [X0] : ((~rich(X0) | calm(X0)) <=> (~rich(X0) | patient(X0))) [input p2]
10. (rich(susan) <~> wise(susan)) <=> ? [X0] : (wise(X0) | calm(X0)) [input p9]
12. ! [X0] : ((~rich(X0) | ~tall(X0)) => calm(X0))... | 0 |
If lucy is both humble and not creative then someone is patient.
Everyone who is not generous or not happy is both not strong and not curious.
Everyone who is not calm or generous is both generous and not kind and vice versa.
If mary is both not quiet and calm then someone is tall or kind and vice versa.
Everyone who i... | Fred is tall. | contradiction | (((humble(lucy)&~creative(lucy)))=>(?[X]:(patient(X))))&
(![X]:((~generous(X)|~happy(X))=>(~strong(X)&~curious(X))))&
(![X]:((~calm(X)|generous(X))<=>(generous(X)&~kind(X))))&
(((~quiet(mary)&calm(mary)))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((tall(X)<~>calm(X))<=>(rich(X)|humble(X))))&
((?[X]:((~rich(X)&tall(X))))=>((... | tall(fred) | [
"p4",
"p5",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6837234038224797483688216
% SZS output start Proof for 6837234038224797483688216
5. ! [X0] : ((tall(X0) <~> calm(X0)) <=> (humble(X0) | rich(X0))) [input p4]
6. ? [X0] : (tall(X0) & ~rich(X0)) => (brave(paul) & ~quiet(paul)) [input p5]
12. ! [X0] : (happy(X0) <=> (rich(X0) <~> brave(X0)))... | 0 |
If someone is both not old and not creative then someone is curious and vice versa.
If fred is both strong and not patient then john is both creative and not curious and vice versa.
Everyone who is kind is either not strong or generous and vice versa.
Everyone who is not patient is not curious or quiet and vice versa.
... | Fred is not happy. | neutral | ((?[X]:((~old(X)&~creative(X))))<=>(?[X]:(curious(X))))&
(((strong(fred)&~patient(fred)))<=>((creative(john)&~curious(john))))&
(![X]:(kind(X)<=>(~strong(X)<~>generous(X))))&
(![X]:(~patient(X)<=>(~curious(X)|quiet(X))))&
(((wise(fred)&funny(fred)))<=>((~curious(fred)&~kind(fred))))&
(((~brave(mary)|~quiet(mary)))<=>((... | ~happy(fred) | [] | null | 0 |
Everyone who is tall or not brave is not calm and vice versa. If susan is either tall or calm then paul is strong and vice versa. Everyone who is curious or kind is not generous. Everyone who is not humble is both creative and strong. Everyone who is both not generous and not quiet is either not creative or not wise. E... | Paul is not creative. | contradiction | (![X]:((tall(X)|~brave(X))<=>~calm(X)))&
(((tall(susan)<~>calm(susan)))<=>(strong(paul)))&
(![X]:((curious(X)|kind(X))=>~generous(X)))&
(![X]:(~humble(X)=>(creative(X)&strong(X))))&
(![X]:((~generous(X)&~quiet(X))=>(~creative(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>(quiet(X)&~rich(X))))&
(((kind(john)<~>happy(john)))=>((~... | ~creative(paul) | [
"p7",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1736079936373747221719463
% SZS output start Proof for 1736079936373747221719463
8. (quiet(paul) | ~creative(paul)) => (~calm(alice) & ~strong(alice)) [input p7]
16. ? [X0] : (~patient(X0) | ~calm(X0)) => (~patient(susan) & humble(susan)) [input p15]
19. ~humble(susan) [input p18]
25. ~cr... | 0 |
Everyone who is either strong or generous is either not wise or funny.
If fred is not humble or happy then john is happy or curious.
Everyone who is kind is not curious and vice versa.
Everyone who is not tall or curious is both not calm and not funny.
If someone is not creative then paul is both not quiet and not stro... | Paul is tall. | entailment | (![X]:((strong(X)<~>generous(X))=>(~wise(X)<~>funny(X))))&
(((~humble(fred)|happy(fred)))=>((happy(john)|curious(john))))&
(![X]:(kind(X)<=>~curious(X)))&
(![X]:((~tall(X)|curious(X))=>(~calm(X)&~funny(X))))&
((?[X]:(~creative(X)))=>((~quiet(paul)&~strong(paul))))&
((?[X]:((tall(X)&rich(X))))<=>((creative(john)&~funny(... | tall(paul) | [
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6289892152894083137109136
% SZS output start Proof for 6289892152894083137109136
13. ! [X0] : ((happy(X0) | ~creative(X0)) <=> (tall(X0) & ~humble(X0))) [input p12]
20. ~humble(paul) & happy(paul) [input p19]
24. ~tall(paul) [input hypothesis]
62. ! [X0] : (((happy(X0) | ~creative(X0)) | ... | 0 |
Everyone who is curious or not patient is both quiet and tall. Everyone who is both rich and tall is humble or not tall. Everyone who is not kind is both curious and brave and vice versa. Everyone who is not quiet is curious and vice versa. If someone is either generous or not patient then someone is not brave and vice... | Lucy is not quiet. | contradiction | (![X]:((curious(X)|~patient(X))=>(quiet(X)&tall(X))))&
(![X]:((rich(X)&tall(X))=>(humble(X)|~tall(X))))&
(![X]:(~kind(X)<=>(curious(X)&brave(X))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:(~brave(X))))&
(((old(mary)&~generous(mary)))<=>(?[X]:((happy(X)&old(X)))))&
((?[X]:(generous... | ~quiet(lucy) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8616290385145914513410574
% SZS output start Proof for 8616290385145914513410574
1. ! [X0] : ((~patient(X0) | curious(X0)) => (tall(X0) & quiet(X0))) [input p0]
4. ! [X0] : (~quiet(X0) <=> curious(X0)) [input p3]
25. ~quiet(lucy) [input hypothesis]
32. ! [X0] : ((~patient(X0) | curious(X0... | 0 |
Everyone who is patient or not brave is either not kind or not funny.
Everyone who is not creative is kind and vice versa.
If lucy is either not wise or strong then mary is not rich and vice versa.
If paul is not creative or not brave then someone is not patient.
If someone is either not wise or not rich then someone i... | Fred is kind. | entailment | (![X]:((patient(X)|~brave(X))=>(~kind(X)<~>~funny(X))))&
(![X]:(~creative(X)<=>kind(X)))&
(((~wise(lucy)<~>strong(lucy)))<=>(~rich(mary)))&
(((~creative(paul)|~brave(paul)))=>(?[X]:(~patient(X))))&
((?[X]:((~wise(X)<~>~rich(X))))=>(?[X]:((wise(X)&~strong(X)))))&
((?[X]:((~patient(X)|~curious(X))))<=>(?[X]:(funny(X))))&... | kind(fred) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3795422723673677022369681
% SZS output start Proof for 3795422723673677022369681
2. ! [X0] : (~creative(X0) <=> kind(X0)) [input p1]
8. (creative(fred) | ~rich(fred)) <=> ? [X0] : (~tall(X0) & tall(X0)) [input p7]
24. ~kind(fred) [input hypothesis]
37. ! [X0] : ((~creative(X0) | ~kind(X0)... | 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... | Susan is not funny. | entailment | (![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))))&
... | ~funny(susan) | [
"p0",
"p2",
"p4",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 267118524218349059354406
% SZS output start Proof for 267118524218349059354406
1. ! [X0] : ((strong(X0) <~> ~generous(X0)) <=> (generous(X0) & creative(X0))) [input p0]
3. ! [X0] : ((~strong(X0) <~> ~creative(X0)) => (~funny(X0) <~> ~strong(X0))) [input p2]
5. ! [X0] : (strong(X0) => quie... | 0 |
Everyone who is not kind is quiet.
Everyone who is not kind or wise is strong and vice versa.
Everyone who is curious is both not calm and not humble.
Everyone who is not calm is old.
Everyone who is not strong or curious is happy or patient.
Everyone who is old is strong and vice versa.
Everyone who is either not pati... | Mary is not wise. | entailment | (![X]:(~kind(X)=>quiet(X)))&
(![X]:((~kind(X)|wise(X))<=>strong(X)))&
(![X]:(curious(X)=>(~calm(X)&~humble(X))))&
(![X]:(~calm(X)=>old(X)))&
(![X]:((~strong(X)|curious(X))=>(happy(X)|patient(X))))&
(![X]:(old(X)<=>strong(X)))&
(![X]:((~patient(X)<~>~wise(X))<=>(~funny(X)&~strong(X))))&
((?[X]:(strong(X)))=>((tall(paul)... | ~wise(mary) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6580129592188340401637524
% SZS output start Proof for 6580129592188340401637524
2. ! [X0] : ((wise(X0) | ~kind(X0)) <=> strong(X0)) [input p1]
20. ~strong(mary) [input p19]
25. wise(mary) [input hypothesis]
42. ! [X0] : (((wise(X0) | ~kind(X0)) | ~strong(X0)) & (strong(X0) | (~wise(X0) &... | 0 |
Everyone who is either humble or not kind is not brave or not funny and vice versa.
Everyone who is both not calm and not happy is not generous or not rich.
Everyone who is either funny or creative is kind or funny and vice versa.
Everyone who is not quiet is calm and vice versa.
If lucy is either not curious or not pa... | Mary is not calm. | contradiction | (![X]:((humble(X)<~>~kind(X))<=>(~brave(X)|~funny(X))))&
(![X]:((~calm(X)&~happy(X))=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(![X]:(~quiet(X)<=>calm(X)))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:((~old(X)<~>tall(X))=>(generous(X)&old(X))))&... | ~calm(mary) | [
"p2",
"p7",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2490655251141689616998700
% SZS output start Proof for 2490655251141689616998700
3. ! [X0] : ((funny(X0) <~> creative(X0)) <=> (funny(X0) | kind(X0))) [input p2]
8. ! [X0] : ((humble(X0) & ~tall(X0)) <=> strong(X0)) [input p7]
12. ! [X0] : ((~rich(X0) | ~tall(X0)) => calm(X0)) [input p11]... | 0 |
Everyone who is not happy or not quiet is both curious and tall.
If someone is generous then fred is either quiet or not old and vice versa.
Everyone who is both funny and tall is old or not rich and vice versa.
If mary is both not happy and patient then someone is generous.
Everyone who is not funny or not tall is bot... | Susan is not old. | entailment | (![X]:((~happy(X)|~quiet(X))=>(curious(X)&tall(X))))&
((?[X]:(generous(X)))<=>((quiet(fred)<~>~old(fred))))&
(![X]:((funny(X)&tall(X))<=>(old(X)|~rich(X))))&
(((~happy(mary)&patient(mary)))=>(?[X]:(generous(X))))&
(![X]:((~funny(X)|~tall(X))<=>(creative(X)&patient(X))))&
((curious(lucy))<=>(?[X]:((calm(X)|generous(X)))... | ~old(susan) | [
"p0",
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6031565660008481638143984
% SZS output start Proof for 6031565660008481638143984
1. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (tall(X0) & curious(X0))) [input p0]
3. ! [X0] : ((tall(X0) & funny(X0)) <=> (~rich(X0) | old(X0))) [input p2]
7. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (humble(X0... | 0 |
If someone is curious or not old then someone is not humble or kind and vice versa.
Everyone who is both humble and calm is not tall or not brave and vice versa.
Everyone who is either kind or not patient is not wise or not strong and vice versa.
Everyone who is not quiet or old is both patient and happy and vice versa... | Susan is not wise. | neutral | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((humble(X)&calm(X))<=>(~tall(X)|~brave(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(~wise(X)|~strong(X))))&
(![X]:((~quiet(X)|old(X))<=>(patient(X)&happy(X))))&
((?[X]:((~funny(X)|generous(X))))<=>((quiet(alice)|~rich(alice))))&
((~curious(lucy))=>((hu... | ~wise(susan) | [] | null | 0 |
Everyone who is not wise is not old or wise.
Everyone who is both not generous and not creative is both not brave and wise and vice versa.
Everyone who is both not humble and generous is not generous.
Everyone who is either not old or quiet is both old and not strong and vice versa.
Everyone who is creative or not funn... | Paul is quiet. | entailment | (![X]:(~wise(X)=>(~old(X)|wise(X))))&
(![X]:((~generous(X)&~creative(X))<=>(~brave(X)&wise(X))))&
(![X]:((~humble(X)&generous(X))=>~generous(X)))&
(![X]:((~old(X)<~>quiet(X))<=>(old(X)&~strong(X))))&
(![X]:((creative(X)|~funny(X))=>(~humble(X)&~calm(X))))&
(((~calm(susan)|~brave(susan)))=>((~generous(mary)&quiet(mary))... | quiet(paul) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6929983788988318267350774
% SZS output start Proof for 6929983788988318267350774
4. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> (~strong(X0) & old(X0))) [input p3]
8. ! [X0] : (~quiet(X0) <=> (~strong(X0) & rich(X0))) [input p7]
23. ~quiet(paul) [input hypothesis]
38. ! [X0] : ((((~quiet(X0) |... | 0 |
Everyone who is not wise or brave is not kind.
Everyone who is either happy or tall is both rich and curious.
Everyone who is not calm or not humble is both happy and wise.
Everyone who is either not tall or not happy is both generous and creative and vice versa.
If someone is both quiet and creative then alice is not ... | Fred is calm. | neutral | (![X]:((~wise(X)|brave(X))=>~kind(X)))&
(![X]:((happy(X)<~>tall(X))=>(rich(X)&curious(X))))&
(![X]:((~calm(X)|~humble(X))=>(happy(X)&wise(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>(generous(X)&creative(X))))&
((?[X]:((quiet(X)&creative(X))))=>(~patient(alice)))&
(![X]:((rich(X)|~strong(X))<=>(happy(X)&brave(X))))&
(![X]:(... | calm(fred) | [] | null | 0 |
Everyone who is either strong or not kind is not happy or patient. Everyone who is either wise or not tall is both brave and generous. Everyone who is either not humble or generous is both not generous and not brave. Everyone who is not brave is both strong and not wise. Everyone who is both not old and humble is eithe... | Mary is happy. | neutral | (![X]:((strong(X)<~>~kind(X))=>(~happy(X)|patient(X))))&
(![X]:((wise(X)<~>~tall(X))=>(brave(X)&generous(X))))&
(![X]:((~humble(X)<~>generous(X))=>(~generous(X)&~brave(X))))&
(![X]:(~brave(X)=>(strong(X)&~wise(X))))&
(![X]:((~old(X)&humble(X))=>(funny(X)<~>~rich(X))))&
(![X]:(~brave(X)<=>(strong(X)<~>~kind(X))))&
(((ri... | happy(mary) | [] | null | 0 |
Everyone who is both curious and not rich is brave or quiet.
Everyone who is either wise or not old is not funny or not wise and vice versa.
Everyone who is either not rich or generous is both not calm and not generous and vice versa.
Everyone who is not old or not calm is both not rich and curious.
Everyone who is bot... | Susan is not strong. | entailment | (![X]:((curious(X)&~rich(X))=>(brave(X)|quiet(X))))&
(![X]:((wise(X)<~>~old(X))<=>(~funny(X)|~wise(X))))&
(![X]:((~rich(X)<~>generous(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~old(X)|~calm(X))=>(~rich(X)&curious(X))))&
(![X]:((~old(X)&~curious(X))<=>(happy(X)&~patient(X))))&
(![X]:((~rich(X)&~generous(X))=>(~strong(X)&... | ~strong(susan) | [
"p0",
"p1",
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3101552580954255900282197
% SZS output start Proof for 3101552580954255900282197
1. ! [X0] : ((~rich(X0) & curious(X0)) => (quiet(X0) | brave(X0))) [input p0]
2. ! [X0] : ((wise(X0) <~> ~old(X0)) <=> (~wise(X0) | ~funny(X0))) [input p1]
4. ! [X0] : ((~calm(X0) | ~old(X0)) => (curious(X0) ... | 0 |
Everyone who is not generous or kind is wise or not patient.
If susan is not strong then john is either humble or not patient and vice versa.
Everyone who is both not creative and calm is patient or curious and vice versa.
If alice is rich or not creative then someone is not patient and vice versa.
If someone is not pa... | Alice is not generous. | neutral | (![X]:((~generous(X)|kind(X))=>(wise(X)|~patient(X))))&
((~strong(susan))<=>((humble(john)<~>~patient(john))))&
(![X]:((~creative(X)&calm(X))<=>(patient(X)|curious(X))))&
(((rich(alice)|~creative(alice)))<=>(?[X]:(~patient(X))))&
((?[X]:((~patient(X)|brave(X))))<=>((happy(john)&~patient(john))))&
((?[X]:((~calm(X)&~cre... | ~generous(alice) | [] | null | 0 |
If alice is funny or humble then fred is both brave and not wise and vice versa.
Everyone who is both not quiet and rich is not creative.
If someone is either wise or calm then lucy is either not calm or generous.
If someone is old or not patient then someone is not creative.
If someone is not happy or not kind then su... | Fred is not wise. | entailment | (((funny(alice)|humble(alice)))<=>((brave(fred)&~wise(fred))))&
(![X]:((~quiet(X)&rich(X))=>~creative(X)))&
((?[X]:((wise(X)<~>calm(X))))=>((~calm(lucy)<~>generous(lucy))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((tall(susan)|creative(susan))))&
(![X]:((funny(X)&curious... | ~wise(fred) | [
"p5",
"p8",
"p13",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 693432889902674194825649
% SZS output start Proof for 693432889902674194825649
6. ! [X0] : ((curious(X0) & funny(X0)) => (~rich(X0) <~> ~kind(X0))) [input p5]
9. ! [X0] : ((~strong(X0) & curious(X0)) <=> (~happy(X0) | ~kind(X0))) [input p8]
14. ! [X0] : ((quiet(X0) | wise(X0)) <=> (~kind(... | 0 |
If someone is both rich and quiet then paul is either not patient or not brave and vice versa.
Everyone who is not curious or wise is either not creative or not rich and vice versa.
Everyone who is not humble or not happy is both old and not calm.
If alice is either not brave or old then lucy is rich.
Everyone who is g... | Alice is funny. | entailment | ((?[X]:((rich(X)&quiet(X))))<=>((~patient(paul)<~>~brave(paul))))&
(![X]:((~curious(X)|wise(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(old(X)&~calm(X))))&
(((~brave(alice)<~>old(alice)))=>(rich(lucy)))&
(![X]:(generous(X)<=>(~rich(X)&~happy(X))))&
(![X]:((brave(X)|~generous(X))<=>(humble(X)&pati... | funny(alice) | [
"p1",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6634587065286668556857593
% SZS output start Proof for 6634587065286668556857593
2. ! [X0] : ((wise(X0) | ~curious(X0)) <=> (~creative(X0) <~> ~rich(X0))) [input p1]
8. ! [X0] : ((tall(X0) <~> curious(X0)) <=> (~creative(X0) <~> rich(X0))) [input p7]
10. ! [X0] : ((brave(X0) | curious(X0)... | 0 |
Everyone who is either not quiet or patient is either not brave or not old. Everyone who is both tall and not quiet is not curious or not tall and vice versa. If someone is not happy then someone is calm or not happy. Everyone who is brave is wise and vice versa. If john is both not creative and patient then someone is... | Paul is not curious. | contradiction | (![X]:((~quiet(X)<~>patient(X))=>(~brave(X)<~>~old(X))))&
(![X]:((tall(X)&~quiet(X))<=>(~curious(X)|~tall(X))))&
((?[X]:(~happy(X)))=>(?[X]:((calm(X)|~happy(X)))))&
(![X]:(brave(X)<=>wise(X)))&
(((~creative(john)&patient(john)))=>(?[X]:((~rich(X)|generous(X)))))&
(((~calm(john)<~>~rich(john)))=>(?[X]:(~creative(X))))&
... | ~curious(paul) | [
"p1",
"p3",
"p11",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8735013456695634927968026
% SZS output start Proof for 8735013456695634927968026
2. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (~tall(X0) | ~curious(X0))) [input p1]
4. ! [X0] : (brave(X0) <=> wise(X0)) [input p3]
12. ! [X0] : ((happy(X0) | ~humble(X0)) => (humble(X0) & ~rich(X0))) [input p11]... | 0 |
Everyone who is not brave or rich is both generous and old.
Everyone who is both not strong and not happy is funny or generous and vice versa.
If someone is old then someone is both patient and rich and vice versa.
If someone is either not strong or not generous then someone is both not creative and creative.
If someon... | Fred is old. | contradiction | (![X]:((~brave(X)|rich(X))=>(generous(X)&old(X))))&
(![X]:((~strong(X)&~happy(X))<=>(funny(X)|generous(X))))&
((?[X]:(old(X)))<=>(?[X]:((patient(X)&rich(X)))))&
((?[X]:((~strong(X)<~>~generous(X))))=>(?[X]:((~creative(X)&creative(X)))))&
((?[X]:(~tall(X)))<=>((patient(fred)&~quiet(fred))))&
((?[X]:((~wise(X)|~tall(X)))... | old(fred) | [
"p0",
"p1",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3521992022770357956519349
% SZS output start Proof for 3521992022770357956519349
1. ! [X0] : ((rich(X0) | ~brave(X0)) => (old(X0) & generous(X0))) [input p0]
2. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (generous(X0) | funny(X0))) [input p1]
3. ? [X0] : old(X0) <=> ? [X0] : (rich(X0) & pat... | 0 |
If someone is both not quiet and not strong then lucy is both quiet and not wise. Everyone who is either not happy or not humble is both quiet and humble. If someone is both not tall and not brave then someone is not calm or quiet. Everyone who is both tall and curious is not calm or not humble and vice versa. Everyone... | Lucy is not funny. | entailment | ((?[X]:((~quiet(X)&~strong(X))))=>((quiet(lucy)&~wise(lucy))))&
(![X]:((~happy(X)<~>~humble(X))=>(quiet(X)&humble(X))))&
((?[X]:((~tall(X)&~brave(X))))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((tall(X)&curious(X))<=>(~calm(X)|~humble(X))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~creative(X)|~brave(X))))&
(![X]:((strong(X)|~hum... | ~funny(lucy) | [
"p3",
"p5",
"p6",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4731094671051336843564614
% SZS output start Proof for 4731094671051336843564614
4. ! [X0] : ((curious(X0) & tall(X0)) <=> (~humble(X0) | ~calm(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | strong(X0)) => humble(X0)) [input p5]
7. ! [X0] : (calm(X0) <=> (~funny(X0) | curious(X0))) [input p... | 0 |
Everyone who is not patient is not generous and vice versa. Everyone who is either not rich or humble is funny or not generous. Everyone who is funny or humble is not curious and vice versa. Everyone who is not humble is either rich or not tall and vice versa. Everyone who is either funny or not humble is either brave ... | Susan is not kind. | neutral | (![X]:(~patient(X)<=>~generous(X)))&
(![X]:((~rich(X)<~>humble(X))=>(funny(X)|~generous(X))))&
(![X]:((funny(X)|humble(X))<=>~curious(X)))&
(![X]:(~humble(X)<=>(rich(X)<~>~tall(X))))&
(![X]:((funny(X)<~>~humble(X))<=>(brave(X)<~>~wise(X))))&
((?[X]:(strong(X)))=>((~humble(lucy)<~>~quiet(lucy))))&
((?[X]:((~humble(X)<~>... | ~kind(susan) | [] | null | 0 |
If someone is both wise and not patient then lucy is both not rich and quiet. Everyone who is not wise is not wise or rich and vice versa. If someone is either not quiet or not wise then someone is both old and not calm and vice versa. If someone is both wise and kind then mary is tall or rich. If susan is not quiet or... | Alice is curious. | neutral | ((?[X]:((wise(X)&~patient(X))))=>((~rich(lucy)&quiet(lucy))))&
(![X]:(~wise(X)<=>(~wise(X)|rich(X))))&
((?[X]:((~quiet(X)<~>~wise(X))))<=>(?[X]:((old(X)&~calm(X)))))&
((?[X]:((wise(X)&kind(X))))=>((tall(mary)|rich(mary))))&
(((~quiet(susan)|~wise(susan)))=>((~wise(mary)&~tall(mary))))&
(![X]:((wise(X)|~creative(X))=>(c... | curious(alice) | [] | null | 0 |
Everyone who is not rich or not strong is wise. If susan is calm or not strong then john is not generous or tall and vice versa. If someone is either brave or not strong then someone is old or not quiet. If mary is not strong then someone is old or not funny and vice versa. Everyone who is both wise and not curious is ... | Mary is not brave. | entailment | (![X]:((~rich(X)|~strong(X))=>wise(X)))&
(((calm(susan)|~strong(susan)))<=>((~generous(john)|tall(john))))&
((?[X]:((brave(X)<~>~strong(X))))=>(?[X]:((old(X)|~quiet(X)))))&
((~strong(mary))<=>(?[X]:((old(X)|~funny(X)))))&
(![X]:((wise(X)&~curious(X))=>(brave(X)&generous(X))))&
(![X]:((~generous(X)|creative(X))=>(~tall(... | ~brave(mary) | [
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1676455110989096562412656
% SZS output start Proof for 1676455110989096562412656
6. ! [X0] : ((creative(X0) | ~generous(X0)) => (humble(X0) & ~tall(X0))) [input p5]
8. ! [X0] : ((old(X0) & tall(X0)) <=> (brave(X0) | ~patient(X0))) [input p7]
11. ! [X0] : (~humble(X0) => (creative(X0) | ~o... | 0 |
If someone is not rich or not strong then someone is both not funny and old.
If someone is both not strong and not brave then john is not wise or not kind.
Everyone who is old or rich is either not humble or not patient and vice versa.
Everyone who is not humble is either generous or not kind.
If someone is not creativ... | John is brave. | contradiction | ((?[X]:((~rich(X)|~strong(X))))=>(?[X]:((~funny(X)&old(X)))))&
((?[X]:((~strong(X)&~brave(X))))=>((~wise(john)|~kind(john))))&
(![X]:((old(X)|rich(X))<=>(~humble(X)<~>~patient(X))))&
(![X]:(~humble(X)=>(generous(X)<~>~kind(X))))&
((?[X]:((~creative(X)|humble(X))))<=>(~wise(fred)))&
(![X]:((rich(X)&humble(X))=>(~old(X)|... | brave(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 36316520495742410835563
% SZS output start Proof for 36316520495742410835563
13. ! [X0] : ((curious(X0) | brave(X0)) => ~brave(X0)) [input p12]
23. brave(john) [input hypothesis]
35. ! [X0] : (~brave(X0) | (~curious(X0) & ~brave(X0))) [ennf transformation 13]
116. ~brave(X0) | ~brave(X0) ... | 0 |
If someone is both not funny and old then someone is both not creative and not patient and vice versa.
Everyone who is not wise or patient is not creative.
If lucy is both not happy and not humble then someone is both not calm and not quiet.
Everyone who is not funny is not strong and vice versa.
Everyone who is genero... | Susan is not patient. | contradiction | ((?[X]:((~funny(X)&old(X))))<=>(?[X]:((~creative(X)&~patient(X)))))&
(![X]:((~wise(X)|patient(X))=>~creative(X)))&
(((~happy(lucy)&~humble(lucy)))=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:(~funny(X)<=>~strong(X)))&
(![X]:(generous(X)<=>(~humble(X)&~creative(X))))&
(![X]:(creative(X)<=>~wise(X)))&
(![X]:((~funny(X)|~wise(... | ~patient(susan) | [
"p0",
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8377829835768608374675954
% SZS output start Proof for 8377829835768608374675954
1. ? [X0] : (old(X0) & ~funny(X0)) <=> ? [X0] : (~patient(X0) & ~creative(X0)) [input p0]
2. ! [X0] : ((patient(X0) | ~wise(X0)) => ~creative(X0)) [input p1]
6. ! [X0] : (creative(X0) <=> ~wise(X0)) [input p5... | 0 |
If alice is not wise then mary is either patient or not strong.
Everyone who is either not happy or not curious is strong or humble.
Everyone who is either happy or not rich is happy or humble.
Everyone who is not tall is tall or not generous.
If john is both wise and rich then someone is either not wise or calm and vi... | Alice is wise. | entailment | ((~wise(alice))=>((patient(mary)<~>~strong(mary))))&
(![X]:((~happy(X)<~>~curious(X))=>(strong(X)|humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(happy(X)|humble(X))))&
(![X]:(~tall(X)=>(tall(X)|~generous(X))))&
(((wise(john)&rich(john)))<=>(?[X]:((~wise(X)<~>calm(X)))))&
((?[X]:((~funny(X)&~happy(X))))=>(~funny(paul)))&
... | wise(alice) | [
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2696398291977851428528951
% SZS output start Proof for 2696398291977851428528951
8. ! [X0] : ((creative(X0) | tall(X0)) => wise(X0)) [input p7]
9. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (~curious(X0) <~> ~creative(X0))) [input p8]
10. ! [X0] : (wise(X0) <=> ~curious(X0)) [input p9]
12. ! ... | 0 |
Everyone who is either not generous or wise is old or curious and vice versa.
If someone is patient or not patient then paul is either humble or not wise.
Everyone who is tall is humble or not happy and vice versa.
Everyone who is humble or strong is quiet.
If someone is either strong or not patient then alice is humbl... | Susan is not creative. | neutral | (![X]:((~generous(X)<~>wise(X))<=>(old(X)|curious(X))))&
((?[X]:((patient(X)|~patient(X))))=>((humble(paul)<~>~wise(paul))))&
(![X]:(tall(X)<=>(humble(X)|~happy(X))))&
(![X]:((humble(X)|strong(X))=>quiet(X)))&
((?[X]:((strong(X)<~>~patient(X))))<=>((humble(alice)|wise(alice))))&
(((~brave(john)|~creative(john)))<=>(?[X... | ~creative(susan) | [] | null | 0 |
Everyone who is funny is not creative or not kind and vice versa.
Everyone who is either strong or not wise is both not patient and old and vice versa.
If mary is both generous and not brave then paul is not calm or not tall and vice versa.
Everyone who is both not funny and creative is either patient or old.
If fred i... | Mary is not funny. | contradiction | (![X]:(funny(X)<=>(~creative(X)|~kind(X))))&
(![X]:((strong(X)<~>~wise(X))<=>(~patient(X)&old(X))))&
(((generous(mary)&~brave(mary)))<=>((~calm(paul)|~tall(paul))))&
(![X]:((~funny(X)&creative(X))=>(patient(X)<~>old(X))))&
((quiet(fred))<=>(~happy(john)))&
(![X]:((~calm(X)<~>wise(X))=>tall(X)))&
(![X]:((~generous(X)<~>... | ~funny(mary) | [
"p0",
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8910369777192186683998371
% SZS output start Proof for 8910369777192186683998371
1. ! [X0] : (funny(X0) <=> (~kind(X0) | ~creative(X0))) [input p0]
4. ! [X0] : ((creative(X0) & ~funny(X0)) => (patient(X0) <~> old(X0))) [input p3]
24. ~old(mary) & ~patient(mary) [input p23]
25. ~funny(mary... | 0 |
Everyone who is both kind and not happy is either not happy or rich and vice versa. Everyone who is not quiet or not brave is calm or not wise. Everyone who is not tall or tall is brave and vice versa. If john is either quiet or not tall then someone is not old or happy and vice versa. If alice is creative then mary is... | Lucy is quiet. | neutral | (![X]:((kind(X)&~happy(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))=>(calm(X)|~wise(X))))&
(![X]:((~tall(X)|tall(X))<=>brave(X)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:((~old(X)|happy(X)))))&
((creative(alice))<=>(curious(mary)))&
(![X]:((quiet(X)|generous(X))=>~curious(X)))&
(![X]:(~kind(X)=>(~brave(X... | quiet(lucy) | [] | null | 0 |
If someone is not calm or not rich then fred is not humble or kind.
If someone is happy then mary is rich and vice versa.
Everyone who is both old and not kind is both not humble and quiet and vice versa.
Everyone who is both not happy and not quiet is both not quiet and not brave.
Everyone who is kind is both not tall... | Fred is not humble. | contradiction | ((?[X]:((~calm(X)|~rich(X))))=>((~humble(fred)|kind(fred))))&
((?[X]:(happy(X)))<=>(rich(mary)))&
(![X]:((old(X)&~kind(X))<=>(~humble(X)&quiet(X))))&
(![X]:((~happy(X)&~quiet(X))=>(~quiet(X)&~brave(X))))&
(![X]:(kind(X)<=>(~tall(X)&calm(X))))&
(![X]:(humble(X)<=>(~calm(X)<~>old(X))))&
((?[X]:(~patient(X)))=>(?[X]:(happ... | ~humble(fred) | [
"p2",
"p4",
"p5",
"p8",
"p10",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7804935457895575666591374
% SZS output start Proof for 7804935457895575666591374
3. ! [X0] : ((~kind(X0) & old(X0)) <=> (quiet(X0) & ~humble(X0))) [input p2]
5. ! [X0] : (kind(X0) <=> (calm(X0) & ~tall(X0))) [input p4]
6. ! [X0] : (humble(X0) <=> (~calm(X0) <~> old(X0))) [input p5]
9. ! [... | 0 |
If someone is both generous and not curious then alice is both creative and not generous.
If susan is either kind or creative then john is tall and vice versa.
Everyone who is not old is not tall.
Everyone who is either not patient or not funny is both not quiet and brave.
Everyone who is either not wise or not brave i... | Mary is not generous. | entailment | ((?[X]:((generous(X)&~curious(X))))=>((creative(alice)&~generous(alice))))&
(((kind(susan)<~>creative(susan)))<=>(tall(john)))&
(![X]:(~old(X)=>~tall(X)))&
(![X]:((~patient(X)<~>~funny(X))=>(~quiet(X)&brave(X))))&
(![X]:((~wise(X)<~>~brave(X))=>(tall(X)|~curious(X))))&
(![X]:((generous(X)|curious(X))=>~quiet(X)))&
(![X... | ~generous(mary) | [
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 725225157484976507629254
% SZS output start Proof for 725225157484976507629254
12. ! [X0] : ((rich(X0) & curious(X0)) <=> ~rich(X0)) [input p11]
15. ! [X0] : (~generous(X0) <=> ~curious(X0)) [input p14]
24. generous(mary) [input hypothesis]
45. ! [X0] : (((rich(X0) & curious(X0)) | rich(X... | 0 |
Everyone who is either not generous or brave is either happy or not funny and vice versa. If paul is not calm or strong then paul is generous and vice versa. Everyone who is either not happy or calm is both wise and not rich. If someone is either not strong or not kind then alice is either not wise or happy and vice ve... | Fred is not calm. | neutral | (![X]:((~generous(X)<~>brave(X))<=>(happy(X)<~>~funny(X))))&
(((~calm(paul)|strong(paul)))<=>(generous(paul)))&
(![X]:((~happy(X)<~>calm(X))=>(wise(X)&~rich(X))))&
((?[X]:((~strong(X)<~>~kind(X))))<=>((~wise(alice)<~>happy(alice))))&
(![X]:((curious(X)<~>~kind(X))=>~happy(X)))&
(![X]:(tall(X)=>(generous(X)<~>~creative(... | ~calm(fred) | [] | null | 0 |
If lucy is either not kind or generous then someone is not happy or old. If someone is both not humble and funny then paul is either not calm or not wise. Everyone who is brave or rich is not humble and vice versa. If someone is rich or not calm then someone is not patient or not generous. Everyone who is both tall and... | Paul is calm. | neutral | (((~kind(lucy)<~>generous(lucy)))=>(?[X]:((~happy(X)|old(X)))))&
((?[X]:((~humble(X)&funny(X))))=>((~calm(paul)<~>~wise(paul))))&
(![X]:((brave(X)|rich(X))<=>~humble(X)))&
((?[X]:((rich(X)|~calm(X))))=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((tall(X)&~rich(X))<=>(~creative(X)|~funny(X))))&
(![X]:((humble(X)|~gener... | calm(paul) | [] | null | 0 |
If someone is not funny then someone is kind and vice versa.
Everyone who is both strong and not humble is either not humble or quiet and vice versa.
Everyone who is both calm and rich is both not quiet and not creative.
If susan is not wise or not creative then someone is both not funny and not brave.
If john is eithe... | Lucy is not brave. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:(kind(X))))&
(![X]:((strong(X)&~humble(X))<=>(~humble(X)<~>quiet(X))))&
(![X]:((calm(X)&rich(X))=>(~quiet(X)&~creative(X))))&
(((~wise(susan)|~creative(susan)))=>(?[X]:((~funny(X)&~brave(X)))))&
(((~strong(john)<~>~patient(john)))=>(?[X]:(~old(X))))&
(![X]:(quiet(X)=>(~calm(X)<~>~creative(X)... | ~brave(lucy) | [
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2443698896035643634726988
% SZS output start Proof for 2443698896035643634726988
8. (~funny(lucy) | brave(lucy)) => ? [X0] : ~funny(X0) [input p7]
9. ! [X0] : ((kind(X0) <~> ~funny(X0)) <=> (kind(X0) & ~tall(X0))) [input p8]
10. ! [X0] : ((~generous(X0) | kind(X0)) => (funny(X0) & patient... | 0 |
If someone is either tall or not funny then fred is not patient.
If someone is either not patient or generous then someone is both not strong and not tall and vice versa.
If someone is not old or not funny then alice is either not brave or not strong and vice versa.
If someone is brave then mary is curious or not rich.... | Mary is curious. | neutral | ((?[X]:((tall(X)<~>~funny(X))))=>(~patient(fred)))&
((?[X]:((~patient(X)<~>generous(X))))<=>(?[X]:((~strong(X)&~tall(X)))))&
((?[X]:((~old(X)|~funny(X))))<=>((~brave(alice)<~>~strong(alice))))&
((?[X]:(brave(X)))=>((curious(mary)|~rich(mary))))&
(![X]:(old(X)=>wise(X)))&
(![X]:((humble(X)<~>~funny(X))<=>creative(X)))&
... | curious(mary) | [] | null | 0 |
Everyone who is both not wise and not funny is both generous and calm.
Everyone who is not brave or not funny is not brave and vice versa.
If someone is both not patient and quiet then susan is either not old or not happy.
If someone is both not old and happy then someone is humble.
Everyone who is not tall or old is e... | Fred is brave. | neutral | (![X]:((~wise(X)&~funny(X))=>(generous(X)&calm(X))))&
(![X]:((~brave(X)|~funny(X))<=>~brave(X)))&
((?[X]:((~patient(X)&quiet(X))))=>((~old(susan)<~>~happy(susan))))&
((?[X]:((~old(X)&happy(X))))=>(?[X]:(humble(X))))&
(![X]:((~tall(X)|old(X))=>(quiet(X)<~>kind(X))))&
(![X]:((~happy(X)<~>tall(X))<=>(old(X)&creative(X))))... | brave(fred) | [] | null | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Lucy is not curious. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | ~curious(lucy) | [] | null | 0 |
If someone is both creative and not creative then alice is old or not calm.
Everyone who is strong is either generous or not kind.
If someone is not happy or not generous then susan is not patient and vice versa.
If someone is kind or tall then fred is not humble or curious.
Everyone who is both not calm and rich is bo... | Mary is not brave. | contradiction | ((?[X]:((creative(X)&~creative(X))))=>((old(alice)|~calm(alice))))&
(![X]:(strong(X)=>(generous(X)<~>~kind(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>(~patient(susan)))&
((?[X]:((kind(X)|tall(X))))=>((~humble(fred)|curious(fred))))&
(![X]:((~calm(X)&rich(X))<=>(patient(X)&funny(X))))&
((~old(mary))<=>(?[X]:((~tall(X)&... | ~brave(mary) | [
"p5",
"p7",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4862539760519197606549714
% SZS output start Proof for 4862539760519197606549714
6. ~old(mary) <=> ? [X0] : (curious(X0) & ~tall(X0)) [input p5]
8. ! [X0] : (creative(X0) <=> (~tall(X0) & ~rich(X0))) [input p7]
11. ! [X0] : ((~tall(X0) | tall(X0)) => (humble(X0) & kind(X0))) [input p10]
1... | 0 |
Everyone who is both happy and rich is calm and vice versa.
Everyone who is funny or tall is tall and vice versa.
Everyone who is either not quiet or not strong is funny or not kind.
If someone is both wise and funny then someone is either happy or not generous.
Everyone who is not calm is not kind or old.
Everyone who... | Alice is happy. | neutral | (![X]:((happy(X)&rich(X))<=>calm(X)))&
(![X]:((funny(X)|tall(X))<=>tall(X)))&
(![X]:((~quiet(X)<~>~strong(X))=>(funny(X)|~kind(X))))&
((?[X]:((wise(X)&funny(X))))=>(?[X]:((happy(X)<~>~generous(X)))))&
(![X]:(~calm(X)=>(~kind(X)|old(X))))&
(![X]:((~quiet(X)<~>~kind(X))=>(~funny(X)&kind(X))))&
(![X]:((funny(X)|~wise(X))<... | happy(alice) | [] | null | 0 |
Everyone who is both funny and not happy is not creative or happy and vice versa.
Everyone who is both brave and kind is not funny or happy and vice versa.
If paul is both not kind and happy then someone is kind or not tall.
If paul is either not old or not humble then someone is not creative and vice versa.
If lucy is... | Mary is not happy. | entailment | (![X]:((funny(X)&~happy(X))<=>(~creative(X)|happy(X))))&
(![X]:((brave(X)&kind(X))<=>(~funny(X)|happy(X))))&
(((~kind(paul)&happy(paul)))=>(?[X]:((kind(X)|~tall(X)))))&
(((~old(paul)<~>~humble(paul)))<=>(?[X]:(~creative(X))))&
(((~funny(lucy)|funny(lucy)))<=>((creative(mary)&~rich(mary))))&
(![X]:((~creative(X)<~>~quie... | ~happy(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8742015034698606682750073
% SZS output start Proof for 8742015034698606682750073
1. ! [X0] : ((~happy(X0) & funny(X0)) <=> (happy(X0) | ~creative(X0))) [input p0]
22. happy(mary) [input hypothesis]
33. ! [X0] : (((~happy(X0) & funny(X0)) | (~happy(X0) & creative(X0))) & ((happy(X0) | ~cre... | 0 |
Everyone who is not brave or not creative is both generous and not wise and vice versa.
If mary is both kind and not patient then paul is either old or not quiet.
If someone is kind or calm then lucy is not old.
If someone is either happy or funny then someone is not strong or not quiet.
If someone is both not calm and... | Lucy is not humble. | contradiction | (![X]:((~brave(X)|~creative(X))<=>(generous(X)&~wise(X))))&
(((kind(mary)&~patient(mary)))=>((old(paul)<~>~quiet(paul))))&
((?[X]:((kind(X)|calm(X))))=>(~old(lucy)))&
((?[X]:((happy(X)<~>funny(X))))=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:((~funny(X)|patient(X)))))&
((?[X]:(~calm(X)))<=>(... | ~humble(lucy) | [
"p2",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5504641517651084643430580
% SZS output start Proof for 5504641517651084643430580
3. ? [X0] : (calm(X0) | kind(X0)) => ~old(lucy) [input p2]
10. ! [X0] : (humble(X0) <=> (~tall(X0) | ~kind(X0))) [input p9]
11. ! [X0] : (tall(X0) <=> (~humble(X0) <~> ~old(X0))) [input p10]
20. ? [X0] : (cal... | 0 |
Everyone who is quiet is either humble or not calm.
Everyone who is not old is both not kind and not tall and vice versa.
Everyone who is both not happy and not creative is curious or not patient.
Everyone who is not funny is tall or humble.
Everyone who is both wise and not wise is not generous or not humble and vice ... | Susan is creative. | entailment | (![X]:(quiet(X)=>(humble(X)<~>~calm(X))))&
(![X]:(~old(X)<=>(~kind(X)&~tall(X))))&
(![X]:((~happy(X)&~creative(X))=>(curious(X)|~patient(X))))&
(![X]:(~funny(X)=>(tall(X)|humble(X))))&
(![X]:((wise(X)&~wise(X))<=>(~generous(X)|~humble(X))))&
(![X]:(brave(X)=>(~humble(X)|tall(X))))&
(((wise(paul)<~>~strong(paul)))<=>((~... | creative(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 316062642475381502437771
% SZS output start Proof for 316062642475381502437771
12. ! [X0] : ((~creative(X0) | happy(X0)) <=> (funny(X0) & creative(X0))) [input p11]
24. ~creative(susan) [input hypothesis]
64. ! [X0] : (((~creative(X0) | happy(X0)) | (~funny(X0) | ~creative(X0))) & ((funny... | 0 |
Everyone who is either not old or old is not kind and vice versa. If someone is either not generous or not brave then someone is either not generous or strong and vice versa. Everyone who is creative is either patient or wise. If someone is either strong or not calm then lucy is either not old or not quiet. If someone ... | John is not kind. | entailment | (![X]:((~old(X)<~>old(X))<=>~kind(X)))&
((?[X]:((~generous(X)<~>~brave(X))))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(![X]:(creative(X)=>(patient(X)<~>wise(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>((~old(lucy)<~>~quiet(lucy))))&
((?[X]:(~curious(X)))=>(strong(alice)))&
(![X]:((~rich(X)|brave(X))=>~quiet(X)))&
(![X]:((~... | ~kind(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5751338348824959039780724
% SZS output start Proof for 5751338348824959039780724
1. ! [X0] : ((~old(X0) <~> old(X0)) <=> ~kind(X0)) [input p0]
23. kind(john) [input hypothesis]
27. ! [X0] : ((~old(X0) <~> old(X0)) => ~kind(X0)) [unused predicate definition removal 1]
31. ! [X0] : (~kind(X... | 0 |
Everyone who is creative or not funny is either calm or not patient. Everyone who is not tall is both not quiet and funny and vice versa. If someone is either rich or quiet then mary is not happy or wise and vice versa. Everyone who is not quiet is both quiet and kind and vice versa. If john is not generous or not calm... | Susan is not tall. | contradiction | (![X]:((creative(X)|~funny(X))=>(calm(X)<~>~patient(X))))&
(![X]:(~tall(X)<=>(~quiet(X)&funny(X))))&
((?[X]:((rich(X)<~>quiet(X))))<=>((~happy(mary)|wise(mary))))&
(![X]:(~quiet(X)<=>(quiet(X)&kind(X))))&
(((~generous(john)|~calm(john)))<=>((~tall(alice)<~>~strong(alice))))&
(![X]:((calm(X)<~>~old(X))<=>(generous(X)&fu... | ~tall(susan) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3378682901852956399349681
% SZS output start Proof for 3378682901852956399349681
2. ! [X0] : (~tall(X0) <=> (funny(X0) & ~quiet(X0))) [input p1]
4. ! [X0] : (~quiet(X0) <=> (kind(X0) & quiet(X0))) [input p3]
25. ~tall(susan) [input hypothesis]
37. ! [X0] : ((~tall(X0) | (~funny(X0) | quie... | 0 |
Everyone who is both not brave and rich is not strong. If john is funny or not wise then john is not strong. Everyone who is brave or not kind is both not curious and not creative and vice versa. Everyone who is humble is not creative and vice versa. If lucy is both creative and not happy then someone is patient or kin... | Paul is tall. | contradiction | (![X]:((~brave(X)&rich(X))=>~strong(X)))&
(((funny(john)|~wise(john)))=>(~strong(john)))&
(![X]:((brave(X)|~kind(X))<=>(~curious(X)&~creative(X))))&
(![X]:(humble(X)<=>~creative(X)))&
(((creative(lucy)&~happy(lucy)))=>(?[X]:((patient(X)|kind(X)))))&
(![X]:((~old(X)&~happy(X))<=>(tall(X)<~>happy(X))))&
((?[X]:(generous(... | tall(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4979025442191931669132834
% SZS output start Proof for 4979025442191931669132834
19. ~tall(paul) [input p18]
25. tall(paul) [input hypothesis]
118. ~tall(paul) [cnf transformation 19]
126. tall(paul) [cnf transformation 25]
275. $false [subsumption resolution 126,118]
% SZS output end Pro... | 0 |
Everyone who is not quiet is not calm and vice versa.
Everyone who is both happy and creative is not calm or kind.
Everyone who is humble is tall.
If john is not generous then someone is happy and vice versa.
If susan is both not quiet and generous then someone is both not quiet and not humble.
Everyone who is not gene... | Fred is not strong. | contradiction | (![X]:(~quiet(X)<=>~calm(X)))&
(![X]:((happy(X)&creative(X))=>(~calm(X)|kind(X))))&
(![X]:(humble(X)=>tall(X)))&
((~generous(john))<=>(?[X]:(happy(X))))&
(((~quiet(susan)&generous(susan)))=>(?[X]:((~quiet(X)&~humble(X)))))&
(![X]:(~generous(X)<=>(~creative(X)|wise(X))))&
((?[X]:((generous(X)|~brave(X))))=>(~rich(lucy))... | ~strong(fred) | [
"p0",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8913514304635045347998075
% SZS output start Proof for 8913514304635045347998075
1. ! [X0] : (~quiet(X0) <=> ~calm(X0)) [input p0]
12. ! [X0] : (humble(X0) <=> (~humble(X0) & ~patient(X0))) [input p11]
15. ! [X0] : ((~calm(X0) <~> ~strong(X0)) <=> (~brave(X0) | patient(X0))) [input p14]
1... | 0 |
Everyone who is either creative or strong is either quiet or rich.
If paul is not kind then alice is both tall and not creative.
Everyone who is either not curious or not rich is either not kind or quiet and vice versa.
If alice is both patient and not kind then fred is both calm and patient and vice versa.
Everyone wh... | Mary is not rich. | entailment | (![X]:((creative(X)<~>strong(X))=>(quiet(X)<~>rich(X))))&
((~kind(paul))=>((tall(alice)&~creative(alice))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~kind(X)<~>quiet(X))))&
(((patient(alice)&~kind(alice)))<=>((calm(fred)&patient(fred))))&
(![X]:(~happy(X)=>(~creative(X)|generous(X))))&
(![X]:((tall(X)<~>~generous(X))<=>~ric... | ~rich(mary) | [
"p5",
"p6",
"p13",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6823751494844206035969717
% SZS output start Proof for 6823751494844206035969717
6. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> ~rich(X0)) [input p5]
7. ! [X0] : ((~brave(X0) & quiet(X0)) <=> (brave(X0) <~> ~old(X0))) [input p6]
14. generous(mary) <=> ? [X0] : (~calm(X0) <~> old(X0)) [inpu... | 0 |
If john is both not wise and not generous then someone is wise or tall.
If someone is either kind or not wise then someone is funny or not strong and vice versa.
Everyone who is both patient and creative is both not kind and funny and vice versa.
Everyone who is rich or tall is either generous or brave.
Everyone who is... | John is creative. | neutral | (((~wise(john)&~generous(john)))=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((kind(X)<~>~wise(X))))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((patient(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~creative(X)<=>~tall(X)))&
(((~old(susan)&~rich(susan)))<=>(?[X]:((funny(... | creative(john) | [] | null | 0 |
Everyone who is both not quiet and creative is both not funny and strong.
Everyone who is either not curious or not creative is either not curious or wise.
Everyone who is not strong is either not tall or not wise and vice versa.
If someone is not wise or not old then paul is quiet or brave.
If someone is old or curiou... | Mary is not old. | entailment | (![X]:((~quiet(X)&creative(X))=>(~funny(X)&strong(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(~curious(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~tall(X)<~>~wise(X))))&
((?[X]:((~wise(X)|~old(X))))=>((quiet(paul)|brave(paul))))&
((?[X]:((old(X)|curious(X))))<=>((~calm(mary)<~>old(mary))))&
(((~kind(susan)<~>calm(susan)))<... | ~old(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 805460369952446696991943
% SZS output start Proof for 805460369952446696991943
10. ! [X0] : ((happy(X0) | old(X0)) => ~old(X0)) [input p9]
24. old(mary) [input hypothesis]
33. ! [X0] : (~old(X0) | (~happy(X0) & ~old(X0))) [ennf transformation 10]
113. ~old(X0) | ~old(X0) [cnf transformati... | 0 |
Everyone who is both not generous and patient is humble or quiet and vice versa.
Everyone who is not calm or funny is either not wise or not brave.
If lucy is humble then someone is both strong and rich and vice versa.
Everyone who is not funny is not old or not wise.
Everyone who is either not generous or not creative... | Alice is creative. | contradiction | (![X]:((~generous(X)&patient(X))<=>(humble(X)|quiet(X))))&
(![X]:((~calm(X)|funny(X))=>(~wise(X)<~>~brave(X))))&
((humble(lucy))<=>(?[X]:((strong(X)&rich(X)))))&
(![X]:(~funny(X)=>(~old(X)|~wise(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(creative(X)&generous(X))))&
(![X]:((quiet(X)&~quiet(X))=>(kind(X)|~humble(X))))... | creative(alice) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3580586092141003405379482
% SZS output start Proof for 3580586092141003405379482
1. ! [X0] : ((patient(X0) & ~generous(X0)) <=> (quiet(X0) | humble(X0))) [input p0]
2. ! [X0] : ((funny(X0) | ~calm(X0)) => (~wise(X0) <~> ~brave(X0))) [input p1]
5. ! [X0] : ((~generous(X0) <~> ~creative(X0)... | 0 |
If mary is both generous and not brave then someone is either generous or not happy.
Everyone who is not strong is both not happy and curious and vice versa.
If mary is happy then mary is not quiet or not creative.
If someone is not tall then someone is either patient or not generous and vice versa.
Everyone who is bot... | Paul is curious. | neutral | (((generous(mary)&~brave(mary)))=>(?[X]:((generous(X)<~>~happy(X)))))&
(![X]:(~strong(X)<=>(~happy(X)&curious(X))))&
((happy(mary))=>((~quiet(mary)|~creative(mary))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)<~>~generous(X)))))&
(![X]:((~strong(X)&calm(X))<=>~wise(X)))&
(![X]:((creative(X)<~>~wise(X))<=>humble(X)))&
(![... | curious(paul) | [] | null | 0 |
If mary is either not patient or humble then someone is either not humble or rich and vice versa.
Everyone who is not kind or quiet is either not kind or tall.
Everyone who is not calm is quiet.
Everyone who is kind is not old.
Everyone who is not funny is not rich or not tall.
Everyone who is not rich or not happy is ... | John is not humble. | neutral | (((~patient(mary)<~>humble(mary)))<=>(?[X]:((~humble(X)<~>rich(X)))))&
(![X]:((~kind(X)|quiet(X))=>(~kind(X)<~>tall(X))))&
(![X]:(~calm(X)=>quiet(X)))&
(![X]:(kind(X)=>~old(X)))&
(![X]:(~funny(X)=>(~rich(X)|~tall(X))))&
(![X]:((~rich(X)|~happy(X))=>(~calm(X)|brave(X))))&
(![X]:(creative(X)=>(funny(X)|kind(X))))&
(![X]:... | ~humble(john) | [] | null | 0 |
Everyone who is calm or not quiet is kind or not funny and vice versa.
If someone is generous then someone is either creative or not rich.
If someone is either happy or not humble then lucy is not brave or not generous and vice versa.
Everyone who is both brave and not calm is either patient or not brave.
Everyone who ... | Lucy is strong. | neutral | (![X]:((calm(X)|~quiet(X))<=>(kind(X)|~funny(X))))&
((?[X]:(generous(X)))=>(?[X]:((creative(X)<~>~rich(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((~brave(lucy)|~generous(lucy))))&
(![X]:((brave(X)&~calm(X))=>(patient(X)<~>~brave(X))))&
(![X]:((~rich(X)|kind(X))=>strong(X)))&
((?[X]:(~brave(X)))<=>((creative(paul)|hum... | strong(lucy) | [] | null | 0 |
Everyone who is both not creative and calm is both wise and not calm and vice versa. If mary is both quiet and calm then fred is happy or not rich and vice versa. If john is both strong and humble then someone is calm and vice versa. Everyone who is not kind is not humble or not patient and vice versa. Everyone who is ... | Fred is brave. | contradiction | (![X]:((~creative(X)&calm(X))<=>(wise(X)&~calm(X))))&
(((quiet(mary)&calm(mary)))<=>((happy(fred)|~rich(fred))))&
(((strong(john)&humble(john)))<=>(?[X]:(calm(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~patient(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>quiet(X)))&
(((curious(john)<~>~patient(john)))<=>(?[X]:(patient(X))))&
(!... | brave(fred) | [
"p0",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7231257277429461808613310
% SZS output start Proof for 7231257277429461808613310
1. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (~calm(X0) & wise(X0))) [input p0]
7. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (humble(X0) | ~patient(X0))) [input p6]
13. ! [X0] : ((~humble(X0) | ~creative(X0)) ... | 0 |
If someone is either quiet or not patient then someone is both not curious and rich and vice versa. If fred is both rich and not strong then someone is wise. If someone is quiet or not rich then someone is both not kind and generous and vice versa. If lucy is rich then john is both not creative and not funny. If paul i... | Lucy is generous. | neutral | ((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((~curious(X)&rich(X)))))&
(((rich(fred)&~strong(fred)))=>(?[X]:(wise(X))))&
((?[X]:((quiet(X)|~rich(X))))<=>(?[X]:((~kind(X)&generous(X)))))&
((rich(lucy))=>((~creative(john)&~funny(john))))&
(((patient(paul)&~brave(paul)))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)&humble(X))<... | generous(lucy) | [] | null | 0 |
If someone is either funny or not quiet then paul is rich and vice versa. Everyone who is either not calm or not quiet is both not strong and not rich and vice versa. If mary is creative or not strong then susan is both not kind and kind and vice versa. If mary is both not rich and not old then alice is both not tall a... | Mary is rich. | entailment | ((?[X]:((funny(X)<~>~quiet(X))))<=>(rich(paul)))&
(![X]:((~calm(X)<~>~quiet(X))<=>(~strong(X)&~rich(X))))&
(((creative(mary)|~strong(mary)))<=>((~kind(susan)&kind(susan))))&
(((~rich(mary)&~old(mary)))=>((~tall(alice)&tall(alice))))&
(![X]:((~old(X)&~generous(X))<=>(old(X)&~creative(X))))&
(![X]:(brave(X)<=>wise(X)))&
... | rich(mary) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1240895505685251123437475
% SZS output start Proof for 1240895505685251123437475
3. (~strong(mary) | creative(mary)) <=> (kind(susan) & ~kind(susan)) [input p2]
4. (~old(mary) & ~rich(mary)) => (tall(alice) & ~tall(alice)) [input p3]
5. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~creative(... | 0 |
If mary is curious then someone is not creative or wise. Everyone who is not kind is brave. Everyone who is brave is either kind or not curious and vice versa. If paul is not creative then someone is both not patient and calm and vice versa. Everyone who is both quiet and funny is curious or calm and vice versa. Everyo... | Alice is happy. | entailment | ((curious(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(X)=>humble(X)))&
(![X]:(funny(X)<=... | happy(alice) | [
"p1",
"p2",
"p4",
"p5",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7032250630902769568924658
% SZS output start Proof for 7032250630902769568924658
2. ! [X0] : (~kind(X0) => brave(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) <~> ~curious(X0))) [input p2]
5. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | curious(X0))) [input p4]
6. ! [X0] : ((c... | 0 |
If someone is both patient and not quiet then someone is either tall or creative.
Everyone who is not happy or not creative is rich and vice versa.
Everyone who is not rich is calm or not generous.
If someone is not calm then someone is both not brave and happy.
Everyone who is not humble or not strong is both not kind... | Alice is calm. | neutral | ((?[X]:((patient(X)&~quiet(X))))=>(?[X]:((tall(X)<~>creative(X)))))&
(![X]:((~happy(X)|~creative(X))<=>rich(X)))&
(![X]:(~rich(X)=>(calm(X)|~generous(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~brave(X)&happy(X)))))&
(![X]:((~humble(X)|~strong(X))=>(~kind(X)&patient(X))))&
(![X]:((brave(X)|kind(X))<=>(~kind(X)|strong(X))))&
(!... | calm(alice) | [] | null | 0 |
If someone is humble then fred is humble and vice versa.
Everyone who is both not patient and not humble is both quiet and creative.
If someone is both strong and not wise then someone is either not kind or not curious.
If alice is both tall and brave then someone is both kind and not kind.
If someone is not rich or no... | Fred is calm. | contradiction | ((?[X]:(humble(X)))<=>(humble(fred)))&
(![X]:((~patient(X)&~humble(X))=>(quiet(X)&creative(X))))&
((?[X]:((strong(X)&~wise(X))))=>(?[X]:((~kind(X)<~>~curious(X)))))&
(((tall(alice)&brave(alice)))=>(?[X]:((kind(X)&~kind(X)))))&
((?[X]:((~rich(X)|~funny(X))))=>(?[X]:((humble(X)&~rich(X)))))&
((?[X]:(~happy(X)))<=>((creat... | calm(fred) | [
"p0",
"p4",
"p9",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7589979146323414393497049
% SZS output start Proof for 7589979146323414393497049
1. ? [X0] : humble(X0) <=> humble(fred) [input p0]
5. ? [X0] : (~funny(X0) | ~rich(X0)) => ? [X0] : (~rich(X0) & humble(X0)) [input p4]
10. ! [X0] : ((~humble(X0) <~> ~happy(X0)) => happy(X0)) [input p9]
17. ... | 0 |
Everyone who is either not tall or not creative is either old or happy.
If susan is not strong or not funny then mary is not quiet or happy.
Everyone who is both tall and not funny is either not happy or not strong.
If mary is both patient and not kind then someone is not happy or not generous and vice versa.
If mary i... | John is funny. | neutral | (![X]:((~tall(X)<~>~creative(X))=>(old(X)<~>happy(X))))&
(((~strong(susan)|~funny(susan)))=>((~quiet(mary)|happy(mary))))&
(![X]:((tall(X)&~funny(X))=>(~happy(X)<~>~strong(X))))&
(((patient(mary)&~kind(mary)))<=>(?[X]:((~happy(X)|~generous(X)))))&
(((calm(mary)<~>~tall(mary)))=>((~curious(alice)<~>~quiet(alice))))&
(((... | funny(john) | [] | null | 0 |
If lucy is kind then someone is either not old or old. Everyone who is either funny or not calm is curious or not kind and vice versa. If fred is either not generous or wise then lucy is both brave and not rich and vice versa. Everyone who is either not calm or not old is strong or not wise and vice versa. Everyone who... | Lucy is humble. | neutral | ((kind(lucy))=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((funny(X)<~>~calm(X))<=>(curious(X)|~kind(X))))&
(((~generous(fred)<~>wise(fred)))<=>((brave(lucy)&~rich(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>(strong(X)|~wise(X))))&
(![X]:((~generous(X)|~creative(X))<=>(patient(X)|kind(X))))&
((?[X]:((strong(X)&creative(X))))<=>(?... | humble(lucy) | [] | null | 0 |
Everyone who is not wise or funny is tall. Everyone who is not patient is humble or curious and vice versa. Everyone who is both strong and rich is both not funny and patient. If someone is either kind or brave then someone is not quiet or not kind. Everyone who is happy or kind is both generous and not generous and vi... | Lucy is humble. | contradiction | (![X]:((~wise(X)|funny(X))=>tall(X)))&
(![X]:(~patient(X)<=>(humble(X)|curious(X))))&
(![X]:((strong(X)&rich(X))=>(~funny(X)&patient(X))))&
((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((~quiet(X)|~kind(X)))))&
(![X]:((happy(X)|kind(X))<=>(generous(X)&~generous(X))))&
(![X]:((generous(X)|strong(X))<=>(~calm(X)|~humble(X))))&
... | humble(lucy) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p13",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6750976116611948935337981
% SZS output start Proof for 6750976116611948935337981
1. ! [X0] : ((funny(X0) | ~wise(X0)) => tall(X0)) [input p0]
5. ! [X0] : ((kind(X0) | happy(X0)) <=> (~generous(X0) & generous(X0))) [input p4]
6. ! [X0] : ((strong(X0) | generous(X0)) <=> (~humble(X0) | ~cal... | 0 |
Everyone who is both not creative and curious is either strong or wise and vice versa.
Everyone who is not curious or funny is either not strong or not generous and vice versa.
If someone is not wise or calm then mary is either old or not kind and vice versa.
If alice is not funny or not old then someone is both curiou... | Paul is old. | entailment | (![X]:((~creative(X)&curious(X))<=>(strong(X)<~>wise(X))))&
(![X]:((~curious(X)|funny(X))<=>(~strong(X)<~>~generous(X))))&
((?[X]:((~wise(X)|calm(X))))<=>((old(mary)<~>~kind(mary))))&
(((~funny(alice)|~old(alice)))=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~old(X)|~strong(X))<=>(~generous(X)&tall(X))))&
(![X]:((humb... | old(paul) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7558522077594830608359513
% SZS output start Proof for 7558522077594830608359513
5. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (tall(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (funny(X0) & generous(X0))) [input p9]
23. ~old(paul) [input hypothesis]
42. ! [X0] :... | 0 |
Everyone who is either not quiet or tall is either funny or not strong and vice versa. If someone is curious then susan is not strong and vice versa. Everyone who is not tall is not quiet or old. If fred is not kind then fred is either not wise or not rich. Everyone who is not patient is curious and vice versa. If some... | Mary is not quiet. | neutral | (![X]:((~quiet(X)<~>tall(X))<=>(funny(X)<~>~strong(X))))&
((?[X]:(curious(X)))<=>(~strong(susan)))&
(![X]:(~tall(X)=>(~quiet(X)|old(X))))&
((~kind(fred))=>((~wise(fred)<~>~rich(fred))))&
(![X]:(~patient(X)<=>curious(X)))&
((?[X]:((wise(X)&rich(X))))<=>(?[X]:(~rich(X))))&
((~quiet(mary))=>(?[X]:((~calm(X)|~tall(X)))))&
... | ~quiet(mary) | [] | null | 0 |
Everyone who is either rich or brave is either curious or not quiet and vice versa.
Everyone who is either not quiet or not wise is either not happy or happy and vice versa.
If someone is both generous and creative then someone is humble or happy.
If someone is both wise and generous then alice is both not patient and ... | Paul is not rich. | entailment | (![X]:((rich(X)<~>brave(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(~happy(X)<~>happy(X))))&
((?[X]:((generous(X)&creative(X))))=>(?[X]:((humble(X)|happy(X)))))&
((?[X]:((wise(X)&generous(X))))<=>((~patient(alice)&creative(alice))))&
((?[X]:((happy(X)<~>~quiet(X))))=>((~quiet(paul)|~curious(paul)... | ~rich(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7009337266841693475361047
% SZS output start Proof for 7009337266841693475361047
14. ! [X0] : (~rich(X0) <=> (rich(X0) | ~happy(X0))) [input p13]
25. rich(paul) [input hypothesis]
69. ! [X0] : ((~rich(X0) | (~rich(X0) & happy(X0))) & ((rich(X0) | ~happy(X0)) | rich(X0))) [nnf transformati... | 0 |
If alice is creative or old then john is old or not kind and vice versa.
Everyone who is quiet or creative is not humble or not strong.
If john is not funny then alice is not tall and vice versa.
Everyone who is not kind is either not curious or not kind and vice versa.
If someone is both wise and not brave then someon... | Susan is not humble. | entailment | (((creative(alice)|old(alice)))<=>((old(john)|~kind(john))))&
(![X]:((quiet(X)|creative(X))=>(~humble(X)|~strong(X))))&
((~funny(john))<=>(~tall(alice)))&
(![X]:(~kind(X)<=>(~curious(X)<~>~kind(X))))&
((?[X]:((wise(X)&~brave(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~creative(X)|~generous(X))<=>kind(X)))&
(((~tall(susan)... | ~humble(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8718364584616779105359707
% SZS output start Proof for 8718364584616779105359707
23. ~humble(susan) [input p22]
25. humble(susan) [input hypothesis]
152. ~humble(susan) [cnf transformation 23]
155. humble(susan) [cnf transformation 25]
315. 32 <=> humble(susan) [avatar definition]
387. ~3... | 0 |
Everyone who is either generous or not humble is either patient or quiet. Everyone who is not tall is patient or wise. Everyone who is both not tall and calm is not curious or not generous and vice versa. Everyone who is both strong and not calm is either humble or brave and vice versa. Everyone who is not tall or stro... | Alice is old. | neutral | (![X]:((generous(X)<~>~humble(X))=>(patient(X)<~>quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|wise(X))))&
(![X]:((~tall(X)&calm(X))<=>(~curious(X)|~generous(X))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~tall(X)|strong(X))<=>(~curious(X)|~brave(X))))&
((~kind(fred))<=>(?[X]:(humble(X))))&
((?[X]:(... | old(alice) | [] | null | 0 |
If mary is not wise or kind then susan is either not strong or not curious and vice versa. If lucy is strong or not old then someone is both calm and not strong. If paul is either kind or generous then susan is not curious. Everyone who is not humble is not kind. Everyone who is not brave or kind is not happy. If someo... | Lucy is quiet. | neutral | (((~wise(mary)|kind(mary)))<=>((~strong(susan)<~>~curious(susan))))&
(((strong(lucy)|~old(lucy)))=>(?[X]:((calm(X)&~strong(X)))))&
(((kind(paul)<~>generous(paul)))=>(~curious(susan)))&
(![X]:(~humble(X)=>~kind(X)))&
(![X]:((~brave(X)|kind(X))=>~happy(X)))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:((funny(X)<~>quiet(X)... | quiet(lucy) | [] | null | 0 |
If someone is not quiet then alice is both not quiet and not happy.
If alice is not curious or tall then someone is not rich.
Everyone who is not brave or not wise is both not generous and patient.
Everyone who is both curious and tall is either tall or rich.
If john is humble then someone is not tall or creative.
Ever... | Alice is not rich. | entailment | ((?[X]:(~quiet(X)))=>((~quiet(alice)&~happy(alice))))&
(((~curious(alice)|tall(alice)))=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)|~wise(X))=>(~generous(X)&patient(X))))&
(![X]:((curious(X)&tall(X))=>(tall(X)<~>rich(X))))&
((humble(john))=>(?[X]:((~tall(X)|creative(X)))))&
(![X]:((kind(X)|tall(X))=>~rich(X)))&
((?[X]:((~ha... | ~rich(alice) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7697797670255634214972973
% SZS output start Proof for 7697797670255634214972973
1. ? [X0] : ~quiet(X0) => (~happy(alice) & ~quiet(alice)) [input p0]
3. ! [X0] : ((~wise(X0) | ~brave(X0)) => (patient(X0) & ~generous(X0))) [input p2]
6. ! [X0] : ((tall(X0) | kind(X0)) => ~rich(X0)) [input ... | 0 |
If someone is either not wise or wise then alice is either not quiet or calm and vice versa.
Everyone who is brave is either patient or funny.
Everyone who is either not wise or not rich is wise.
Everyone who is both not creative and not curious is not tall or not creative and vice versa.
If john is either not creative... | Lucy is brave. | neutral | ((?[X]:((~wise(X)<~>wise(X))))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:(brave(X)=>(patient(X)<~>funny(X))))&
(![X]:((~wise(X)<~>~rich(X))=>wise(X)))&
(![X]:((~creative(X)&~curious(X))<=>(~tall(X)|~creative(X))))&
(((~creative(john)<~>~kind(john)))<=>((kind(paul)&calm(paul))))&
(![X]:((~wise(X)&~humble(X))=>(~generous... | brave(lucy) | [] | null | 0 |
Everyone who is patient or not funny is both generous and not funny and vice versa. Everyone who is either strong or not tall is rich. Everyone who is not creative is not funny or not generous. Everyone who is both not funny and not quiet is not calm and vice versa. If someone is both not wise and rich then someone is ... | Paul is not creative. | entailment | (![X]:((patient(X)|~funny(X))<=>(generous(X)&~funny(X))))&
(![X]:((strong(X)<~>~tall(X))=>rich(X)))&
(![X]:(~creative(X)=>(~funny(X)|~generous(X))))&
(![X]:((~funny(X)&~quiet(X))<=>~calm(X)))&
((?[X]:((~wise(X)&rich(X))))=>(?[X]:((old(X)<~>~creative(X)))))&
((?[X]:(humble(X)))=>((~kind(paul)|humble(paul))))&
(![X]:((~p... | ~creative(paul) | [
"p0",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4353041089220478053323126
% SZS output start Proof for 4353041089220478053323126
1. ! [X0] : ((~funny(X0) | patient(X0)) <=> (~funny(X0) & generous(X0))) [input p0]
9. ! [X0] : (~rich(X0) <=> (funny(X0) | calm(X0))) [input p8]
16. ! [X0] : ((generous(X0) | ~rich(X0)) => (rich(X0) & ~creat... | 0 |
Everyone who is not quiet is both not rich and not generous.
Everyone who is old is both generous and not creative.
If fred is not funny then lucy is either old or curious.
Everyone who is not happy is either not humble or not quiet and vice versa.
Everyone who is either not humble or humble is both not wise and not ha... | Alice is humble. | contradiction | (![X]:(~quiet(X)=>(~rich(X)&~generous(X))))&
(![X]:(old(X)=>(generous(X)&~creative(X))))&
((~funny(fred))=>((old(lucy)<~>curious(lucy))))&
(![X]:(~happy(X)<=>(~humble(X)<~>~quiet(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(~wise(X)&~happy(X))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creative(X... | humble(alice) | [
"p0",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1403233426784160273714902
% SZS output start Proof for 1403233426784160273714902
1. ! [X0] : (~quiet(X0) => (~generous(X0) & ~rich(X0))) [input p0]
4. ! [X0] : (~happy(X0) <=> (~humble(X0) <~> ~quiet(X0))) [input p3]
5. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~happy(X0) & ~wise(X0))) ... | 0 |
Everyone who is both strong and quiet is humble or not humble. Everyone who is funny or not generous is not kind and vice versa. If paul is old or happy then someone is either strong or brave and vice versa. If paul is either old or rich then someone is curious or humble and vice versa. If mary is happy then someone is... | Susan is creative. | neutral | (![X]:((strong(X)&quiet(X))=>(humble(X)|~humble(X))))&
(![X]:((funny(X)|~generous(X))<=>~kind(X)))&
(((old(paul)|happy(paul)))<=>(?[X]:((strong(X)<~>brave(X)))))&
(((old(paul)<~>rich(paul)))<=>(?[X]:((curious(X)|humble(X)))))&
((happy(mary))=>(?[X]:((tall(X)<~>~quiet(X)))))&
((happy(paul))<=>(?[X]:((~calm(X)&funny(X)))... | creative(susan) | [] | null | 0 |
Everyone who is not brave or not rich is both tall and wise and vice versa.
If someone is either strong or not happy then susan is both patient and not patient and vice versa.
Everyone who is not rich is funny or calm and vice versa.
If lucy is tall or calm then someone is funny and vice versa.
Everyone who is either n... | Alice is tall. | entailment | (![X]:((~brave(X)|~rich(X))<=>(tall(X)&wise(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>((patient(susan)&~patient(susan))))&
(![X]:(~rich(X)<=>(funny(X)|calm(X))))&
(((tall(lucy)|calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~kind(X)))&
(((curious(paul)&patient(paul)))<=>(~brave(mary)))&
(![X]:(... | tall(alice) | [
"p0",
"p2",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7480157058907530037474246
% SZS output start Proof for 7480157058907530037474246
1. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (wise(X0) & tall(X0))) [input p0]
3. ! [X0] : (~rich(X0) <=> (calm(X0) | funny(X0))) [input p2]
10. ! [X0] : (~wise(X0) <=> (calm(X0) & ~humble(X0))) [input p9]
13. ?... | 0 |
If mary is both strong and not brave then alice is both patient and not strong.
Everyone who is not creative is both humble and not old.
Everyone who is not kind is both not wise and happy.
Everyone who is both old and not generous is both brave and funny and vice versa.
If someone is either not calm or not humble then... | Paul is not old. | entailment | (((strong(mary)&~brave(mary)))=>((patient(alice)&~strong(alice))))&
(![X]:(~creative(X)=>(humble(X)&~old(X))))&
(![X]:(~kind(X)=>(~wise(X)&happy(X))))&
(![X]:((old(X)&~generous(X))<=>(brave(X)&funny(X))))&
((?[X]:((~calm(X)<~>~humble(X))))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:(~old(X)<=>(~humble(X)<~>calm(X))))&
(... | ~old(paul) | [
"p2",
"p4",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7529307559649481977315353
% SZS output start Proof for 7529307559649481977315353
3. ! [X0] : (~kind(X0) => (happy(X0) & ~wise(X0))) [input p2]
5. ? [X0] : (~calm(X0) <~> ~humble(X0)) <=> ? [X0] : (~patient(X0) & brave(X0)) [input p4]
6. ! [X0] : (~old(X0) <=> (~humble(X0) <~> calm(X0))) [... | 0 |
Everyone who is not kind is either not wise or funny.
If someone is not curious or not kind then alice is either not patient or quiet.
Everyone who is either not wise or brave is either not rich or kind and vice versa.
If paul is not brave then susan is either funny or not calm.
Everyone who is not humble or calm is bo... | John is not kind. | neutral | (![X]:(~kind(X)=>(~wise(X)<~>funny(X))))&
((?[X]:((~curious(X)|~kind(X))))=>((~patient(alice)<~>quiet(alice))))&
(![X]:((~wise(X)<~>brave(X))<=>(~rich(X)<~>kind(X))))&
((~brave(paul))=>((funny(susan)<~>~calm(susan))))&
(![X]:((~humble(X)|calm(X))<=>(brave(X)&~kind(X))))&
(((~curious(susan)<~>happy(susan)))<=>(?[X]:((~w... | ~kind(john) | [] | null | 0 |
Everyone who is not brave is both not brave and not creative.
Everyone who is both not tall and not humble is both not curious and not tall and vice versa.
Everyone who is not brave or not generous is both not kind and strong and vice versa.
Everyone who is both not humble and not generous is curious and vice versa.
Ev... | Paul is not tall. | entailment | (![X]:(~brave(X)=>(~brave(X)&~creative(X))))&
(![X]:((~tall(X)&~humble(X))<=>(~curious(X)&~tall(X))))&
(![X]:((~brave(X)|~generous(X))<=>(~kind(X)&strong(X))))&
(![X]:((~humble(X)&~generous(X))<=>curious(X)))&
(![X]:(wise(X)=>~strong(X)))&
(![X]:((~calm(X)&rich(X))=>(~brave(X)|calm(X))))&
(![X]:((~patient(X)|rich(X))<=... | ~tall(paul) | [
"p2",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5427737686038561618725612
% SZS output start Proof for 5427737686038561618725612
3. ! [X0] : ((~generous(X0) | ~brave(X0)) <=> (strong(X0) & ~kind(X0))) [input p2]
12. ! [X0] : ((kind(X0) | ~generous(X0)) => (~creative(X0) & ~brave(X0))) [input p11]
16. ! [X0] : ((strong(X0) & curious(X0)... | 0 |
Everyone who is both happy and not humble is either not creative or not humble and vice versa.
Everyone who is happy is either funny or wise and vice versa.
Everyone who is not old is generous.
If paul is both not happy and not calm then someone is both tall and not happy.
Everyone who is old or not funny is either ric... | Lucy is not happy. | contradiction | (![X]:((happy(X)&~humble(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(happy(X)<=>(funny(X)<~>wise(X))))&
(![X]:(~old(X)=>generous(X)))&
(((~happy(paul)&~calm(paul)))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~w... | ~happy(lucy) | [
"p1",
"p4",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6198819407546655249795063
% SZS output start Proof for 6198819407546655249795063
2. ! [X0] : (happy(X0) <=> (funny(X0) <~> wise(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | old(X0)) <=> (rich(X0) <~> happy(X0))) [input p4]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient(X0) & ~tal... | 0 |
Everyone who is not funny or not strong is both not wise and not happy.
If someone is either funny or strong then alice is not generous or calm.
If paul is either patient or not brave then someone is not strong.
Everyone who is calm or old is either strong or quiet and vice versa.
Everyone who is creative is both brave... | Susan is quiet. | entailment | (![X]:((~funny(X)|~strong(X))=>(~wise(X)&~happy(X))))&
((?[X]:((funny(X)<~>strong(X))))=>((~generous(alice)|calm(alice))))&
(((patient(paul)<~>~brave(paul)))=>(?[X]:(~strong(X))))&
(![X]:((calm(X)|old(X))<=>(strong(X)<~>quiet(X))))&
(![X]:(creative(X)<=>(brave(X)&~quiet(X))))&
(![X]:(~wise(X)<=>(~creative(X)<~>~tall(X)... | quiet(susan) | [
"p4",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6995937902401651025552803
% SZS output start Proof for 6995937902401651025552803
5. ! [X0] : (creative(X0) <=> (~quiet(X0) & brave(X0))) [input p4]
9. ! [X0] : ((curious(X0) & ~creative(X0)) <=> (brave(X0) <~> ~brave(X0))) [input p8]
17. brave(susan) <~> creative(susan) [input p16]
24. ~q... | 0 |
If someone is kind or curious then someone is kind. If mary is either not patient or not generous then paul is either not patient or brave and vice versa. Everyone who is funny or humble is either not happy or brave and vice versa. Everyone who is both not quiet and patient is patient or not humble and vice versa. If f... | Lucy is humble. | entailment | ((?[X]:((kind(X)|curious(X))))=>(?[X]:(kind(X))))&
(((~patient(mary)<~>~generous(mary)))<=>((~patient(paul)<~>brave(paul))))&
(![X]:((funny(X)|humble(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((~quiet(X)&patient(X))<=>(patient(X)|~humble(X))))&
(((~generous(fred)|patient(fred)))=>((~wise(mary)&~rich(mary))))&
(((rich(fred)... | humble(lucy) | [
"p3",
"p6",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4150218984719201623929409
% SZS output start Proof for 4150218984719201623929409
4. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> (~humble(X0) | patient(X0))) [input p3]
7. ! [X0] : (~quiet(X0) <=> (~funny(X0) & wise(X0))) [input p6]
9. ? [X0] : (~humble(X0) | ~brave(X0)) <=> (wise(lucy) <~> ~... | 0 |
Everyone who is patient or not calm is both not tall and not curious. Everyone who is either strong or wise is not wise or not kind and vice versa. If someone is calm then susan is both rich and wise. If someone is not calm then john is kind or quiet. Everyone who is either not humble or not strong is both tall and fun... | Mary is humble. | entailment | (![X]:((patient(X)|~calm(X))=>(~tall(X)&~curious(X))))&
(![X]:((strong(X)<~>wise(X))<=>(~wise(X)|~kind(X))))&
((?[X]:(calm(X)))=>((rich(susan)&wise(susan))))&
((?[X]:(~calm(X)))=>((kind(john)|quiet(john))))&
(![X]:((~humble(X)<~>~strong(X))<=>(tall(X)&funny(X))))&
(((old(lucy)|generous(lucy)))<=>((~humble(mary)&strong(... | humble(mary) | [
"p4",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6294777985970261934690065
% SZS output start Proof for 6294777985970261934690065
5. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (funny(X0) & tall(X0))) [input p4]
6. (generous(lucy) | old(lucy)) <=> (strong(mary) & ~humble(mary)) [input p5]
8. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (stron... | 0 |
Everyone who is quiet is not kind or not brave and vice versa.
If paul is either not calm or calm then someone is either strong or not funny.
Everyone who is either old or happy is either humble or not kind and vice versa.
Everyone who is both kind and not patient is not humble and vice versa.
Everyone who is either ca... | John is kind. | entailment | (![X]:(quiet(X)<=>(~kind(X)|~brave(X))))&
(((~calm(paul)<~>calm(paul)))=>(?[X]:((strong(X)<~>~funny(X)))))&
(![X]:((old(X)<~>happy(X))<=>(humble(X)<~>~kind(X))))&
(![X]:((kind(X)&~patient(X))<=>~humble(X)))&
(![X]:((calm(X)<~>kind(X))<=>~humble(X)))&
(![X]:((funny(X)&~old(X))=>(~kind(X)&rich(X))))&
(((old(susan)&~happy... | kind(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3403678250252227097394215
% SZS output start Proof for 3403678250252227097394215
9. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> (~brave(X0) & kind(X0))) [input p8]
24. ~kind(john) [input hypothesis]
51. ! [X0] : (((~creative(X0) | ~kind(X0)) | (brave(X0) | ~kind(X0))) & ((~brave(X0) & kind(... | 0 |
Everyone who is either not old or tall is creative and vice versa.
If lucy is not generous or funny then susan is not wise.
Everyone who is either brave or not quiet is both quiet and curious.
If someone is both creative and not strong then john is either creative or quiet and vice versa.
If someone is not happy or not... | Alice is not strong. | contradiction | (![X]:((~old(X)<~>tall(X))<=>creative(X)))&
(((~generous(lucy)|funny(lucy)))=>(~wise(susan)))&
(![X]:((brave(X)<~>~quiet(X))=>(quiet(X)&curious(X))))&
((?[X]:((creative(X)&~strong(X))))<=>((creative(john)<~>quiet(john))))&
((?[X]:((~happy(X)|~brave(X))))=>(?[X]:((~old(X)|quiet(X)))))&
((?[X]:((~curious(X)<~>~old(X))))<... | ~strong(alice) | [
"p1",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1536075413700039654419199
% SZS output start Proof for 1536075413700039654419199
2. (funny(lucy) | ~generous(lucy)) => ~wise(susan) [input p1]
9. (~strong(alice) | ~patient(alice)) <=> (~quiet(lucy) & funny(lucy)) [input p8]
10. ! [X0] : ((~wise(X0) | kind(X0)) <=> funny(X0)) [input p9]
1... | 0 |
Everyone who is not tall is not calm and vice versa. If someone is both tall and patient then john is curious and vice versa. Everyone who is either generous or not humble is either tall or funny. Everyone who is not quiet or humble is both old and not calm and vice versa. If someone is curious then someone is funny an... | Mary is creative. | neutral | (![X]:(~tall(X)<=>~calm(X)))&
((?[X]:((tall(X)&patient(X))))<=>(curious(john)))&
(![X]:((generous(X)<~>~humble(X))=>(tall(X)<~>funny(X))))&
(![X]:((~quiet(X)|humble(X))<=>(old(X)&~calm(X))))&
((?[X]:(curious(X)))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)|generous(X))=>(~old(X)&~generous(X))))&
(((wise(lucy)|~patient(lucy... | creative(mary) | [] | null | 0 |
If someone is humble or funny then someone is not tall.
Everyone who is both happy and not generous is either not wise or not happy and vice versa.
If susan is not tall or not funny then lucy is either creative or not creative and vice versa.
Everyone who is either old or quiet is not patient or curious and vice versa.... | Lucy is creative. | neutral | ((?[X]:((humble(X)|funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)&~generous(X))<=>(~wise(X)<~>~happy(X))))&
(((~tall(susan)|~funny(susan)))<=>((creative(lucy)<~>~creative(lucy))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)|curious(X))))&
(![X]:((~quiet(X)&~rich(X))=>(patient(X)&~tall(X))))&
(![X]:((~wise(X)|calm(X))... | creative(lucy) | [] | null | 0 |
If someone is either not happy or not quiet then susan is both not old and kind and vice versa.
If lucy is quiet or not tall then someone is not funny.
Everyone who is not calm or not quiet is generous and vice versa.
Everyone who is curious is not curious.
Everyone who is both not kind and generous is strong or calm a... | Paul is not curious. | entailment | ((?[X]:((~happy(X)<~>~quiet(X))))<=>((~old(susan)&kind(susan))))&
(((quiet(lucy)|~tall(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)|~quiet(X))<=>generous(X)))&
(![X]:(curious(X)=>~curious(X)))&
(![X]:((~kind(X)&generous(X))<=>(strong(X)|calm(X))))&
(![X]:(~strong(X)<=>(~strong(X)|~brave(X))))&
((?[X]:((humble(X)&rich... | ~curious(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3363322358389630905125164
% SZS output start Proof for 3363322358389630905125164
4. ! [X0] : (curious(X0) => ~curious(X0)) [input p3]
22. curious(paul) [input hypothesis]
27. ! [X0] : (~curious(X0) | ~curious(X0)) [ennf transformation 4]
83. ~curious(X0) | ~curious(X0) [cnf transformation... | 0 |
If susan is kind then someone is humble. Everyone who is both happy and calm is both happy and not rich. Everyone who is both brave and not humble is not brave. Everyone who is both not rich and kind is not creative or not happy and vice versa. If someone is either not brave or creative then someone is brave. Everyone ... | Mary is not quiet. | entailment | ((kind(susan))=>(?[X]:(humble(X))))&
(![X]:((happy(X)&calm(X))=>(happy(X)&~rich(X))))&
(![X]:((brave(X)&~humble(X))=>~brave(X)))&
(![X]:((~rich(X)&kind(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(brave(X))))&
(![X]:(funny(X)<=>(quiet(X)|~curious(X))))&
(![X]:(funny(X)<=>~creative(X)))&... | ~quiet(mary) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2189207420947139061567154
% SZS output start Proof for 2189207420947139061567154
3. ! [X0] : ((~humble(X0) & brave(X0)) => ~brave(X0)) [input p2]
4. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (~happy(X0) | ~creative(X0))) [input p3]
6. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input ... | 0 |
If someone is not humble or not patient then someone is calm or not funny.
Everyone who is brave is either quiet or not kind.
Everyone who is not humble or rich is either not generous or not creative.
If alice is both not old and not happy then someone is calm and vice versa.
Everyone who is both not brave and creative... | Mary is happy. | contradiction | ((?[X]:((~humble(X)|~patient(X))))=>(?[X]:((calm(X)|~funny(X)))))&
(![X]:(brave(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((~humble(X)|rich(X))=>(~generous(X)<~>~creative(X))))&
(((~old(alice)&~happy(alice)))<=>(?[X]:(calm(X))))&
(![X]:((~brave(X)&creative(X))=>(generous(X)&rich(X))))&
(![X]:(~patient(X)<=>~wise(X)))&
(![X]:(... | happy(mary) | [
"p5",
"p6",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7104849122205407181966276
% SZS output start Proof for 7104849122205407181966276
6. ! [X0] : (~patient(X0) <=> ~wise(X0)) [input p5]
7. ! [X0] : ((wise(X0) | generous(X0)) <=> (curious(X0) | ~patient(X0))) [input p6]
11. ! [X0] : ((~curious(X0) <~> happy(X0)) <=> (~creative(X0) & ~humble(... | 0 |
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