premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If john is both not curious and curious then fred is not tall and vice versa. Everyone who is not quiet or not curious is both not kind and patient and vice versa. If paul is either not strong or not humble then paul is both rich and not old. Everyone who is not creative is not calm or not brave and vice versa. Everyon... | Mary is brave. | entailment | (((~curious(john)&curious(john)))<=>(~tall(fred)))&
(![X]:((~quiet(X)|~curious(X))<=>(~kind(X)&patient(X))))&
(((~strong(paul)<~>~humble(paul)))=>((rich(paul)&~old(paul))))&
(![X]:(~creative(X)<=>(~calm(X)|~brave(X))))&
(![X]:(happy(X)=>(curious(X)&~strong(X))))&
(![X]:((~quiet(X)|~humble(X))=>(~patient(X)|tall(X))))&
... | brave(mary) | [
"p1",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 554133682495373413550347
% SZS output start Proof for 554133682495373413550347
2. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> (patient(X0) & ~kind(X0))) [input p1]
8. ! [X0] : ((old(X0) & ~wise(X0)) <=> (old(X0) & brave(X0))) [input p7]
10. ! [X0] : ((~brave(X0) | patient(X0)) => (~wise(X0)... | 0 |
If paul is both strong and quiet then someone is either tall or not curious.
Everyone who is both generous and curious is both curious and happy and vice versa.
If fred is either curious or happy then someone is either quiet or not curious and vice versa.
If someone is either quiet or creative then someone is either ki... | John is wise. | contradiction | (((strong(paul)&quiet(paul)))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:((generous(X)&curious(X))<=>(curious(X)&happy(X))))&
(((curious(fred)<~>happy(fred)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((~rich(X)|rich(X))=>(funny(X)<~>~wise(X))))&
((... | wise(john) | [
"p1",
"p4",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6638521846221319008242635
% SZS output start Proof for 6638521846221319008242635
2. ! [X0] : ((curious(X0) & generous(X0)) <=> (happy(X0) & curious(X0))) [input p1]
5. ! [X0] : ((rich(X0) | ~rich(X0)) => (funny(X0) <~> ~wise(X0))) [input p4]
11. ! [X0] : (funny(X0) <=> ~happy(X0)) [input ... | 0 |
If someone is both not curious and tall then someone is not calm or not creative.
Everyone who is rich is both wise and curious.
If mary is either kind or patient then alice is both not quiet and not strong and vice versa.
Everyone who is wise is either not calm or patient.
Everyone who is either happy or brave is both... | Susan is not brave. | contradiction | ((?[X]:((~curious(X)&tall(X))))=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:(rich(X)=>(wise(X)&curious(X))))&
(((kind(mary)<~>patient(mary)))<=>((~quiet(alice)&~strong(alice))))&
(![X]:(wise(X)=>(~calm(X)<~>patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~humble(X)&funny(X))))&
((?[X]:(~creative(X)))<=>((old(mary)&~creati... | ~brave(susan) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5862919247748817301631397
% SZS output start Proof for 5862919247748817301631397
2. ! [X0] : (rich(X0) => (curious(X0) & wise(X0))) [input p1]
7. ? [X0] : ~calm(X0) <=> ? [X0] : generous(X0) [input p6]
8. ! [X0] : (tall(X0) <=> (creative(X0) <~> brave(X0))) [input p7]
9. ! [X0] : ((funny(... | 0 |
Everyone who is both not rich and not humble is both strong and not curious.
Everyone who is either not rich or not kind is both not patient and calm.
Everyone who is curious or patient is not patient or not tall and vice versa.
If john is either not tall or not old then someone is not tall and vice versa.
Everyone who... | John is tall. | contradiction | (![X]:((~rich(X)&~humble(X))=>(strong(X)&~curious(X))))&
(![X]:((~rich(X)<~>~kind(X))=>(~patient(X)&calm(X))))&
(![X]:((curious(X)|patient(X))<=>(~patient(X)|~tall(X))))&
(((~tall(john)<~>~old(john)))<=>(?[X]:(~tall(X))))&
(![X]:((calm(X)<~>~curious(X))=>~quiet(X)))&
(![X]:(generous(X)=>(~curious(X)&humble(X))))&
((?[X... | tall(john) | [
"p2",
"p4",
"p7",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2951212626842410503556642
% SZS output start Proof for 2951212626842410503556642
3. ! [X0] : ((patient(X0) | curious(X0)) <=> (~tall(X0) | ~patient(X0))) [input p2]
5. ! [X0] : ((calm(X0) <~> ~curious(X0)) => ~quiet(X0)) [input p4]
8. ! [X0] : (~calm(X0) <=> (~patient(X0) & ~tall(X0))) [i... | 0 |
Everyone who is both rich and generous is either not humble or calm and vice versa.
If someone is wise or not wise then john is either not creative or strong and vice versa.
If someone is not creative or kind then alice is both patient and not calm.
If someone is kind or not kind then someone is both not generous and h... | Alice is humble. | entailment | (![X]:((rich(X)&generous(X))<=>(~humble(X)<~>calm(X))))&
((?[X]:((wise(X)|~wise(X))))<=>((~creative(john)<~>strong(john))))&
((?[X]:((~creative(X)|kind(X))))=>((patient(alice)&~calm(alice))))&
((?[X]:((kind(X)|~kind(X))))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:(curious(X)=>(~wise(X)<~>old(X))))&
((?[X]:((~kind(X)&~r... | humble(alice) | [
"p0",
"p2",
"p3",
"p6",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4711697967427090747640124
% SZS output start Proof for 4711697967427090747640124
1. ! [X0] : ((generous(X0) & rich(X0)) <=> (~humble(X0) <~> calm(X0))) [input p0]
3. ? [X0] : (kind(X0) | ~creative(X0)) => (~calm(alice) & patient(alice)) [input p2]
4. ? [X0] : (~kind(X0) | kind(X0)) => ? [... | 0 |
Everyone who is not creative is curious or not creative.
Everyone who is generous is both not generous and patient and vice versa.
If someone is funny or kind then someone is brave and vice versa.
Everyone who is not patient or not creative is either not humble or creative.
Everyone who is not humble or not funny is ei... | Fred is curious. | neutral | (![X]:(~creative(X)=>(curious(X)|~creative(X))))&
(![X]:(generous(X)<=>(~generous(X)&patient(X))))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:(brave(X))))&
(![X]:((~patient(X)|~creative(X))=>(~humble(X)<~>creative(X))))&
(![X]:((~humble(X)|~funny(X))=>(brave(X)<~>~curious(X))))&
(![X]:((~strong(X)<~>creative(X))=>(strong(X)... | curious(fred) | [] | null | 0 |
If someone is both patient and funny then alice is old or wise and vice versa.
Everyone who is either patient or not generous is either wise or patient.
Everyone who is either happy or funny is not funny and vice versa.
Everyone who is both not creative and old is quiet.
Everyone who is quiet or creative is funny and v... | Alice is not happy. | contradiction | ((?[X]:((patient(X)&funny(X))))<=>((old(alice)|wise(alice))))&
(![X]:((patient(X)<~>~generous(X))=>(wise(X)<~>patient(X))))&
(![X]:((happy(X)<~>funny(X))<=>~funny(X)))&
(![X]:((~creative(X)&old(X))=>quiet(X)))&
(![X]:((quiet(X)|creative(X))<=>funny(X)))&
(![X]:(~happy(X)=>(~rich(X)<~>~happy(X))))&
((quiet(alice))=>((br... | ~happy(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8799785193017041787643523
% SZS output start Proof for 8799785193017041787643523
3. ! [X0] : ((happy(X0) <~> funny(X0)) <=> ~funny(X0)) [input p2]
24. ~happy(alice) [input hypothesis]
44. ! [X0] : ((((~funny(X0) | ~happy(X0)) & (funny(X0) | happy(X0))) | funny(X0)) & (~funny(X0) | ((happy... | 0 |
If alice is generous or not funny then someone is funny or not humble and vice versa. Everyone who is not brave is generous. If alice is not creative then lucy is generous or not generous and vice versa. Everyone who is old or brave is either curious or creative. If someone is funny then someone is both not wise and ha... | Fred is not creative. | neutral | (((generous(alice)|~funny(alice)))<=>(?[X]:((funny(X)|~humble(X)))))&
(![X]:(~brave(X)=>generous(X)))&
((~creative(alice))<=>((generous(lucy)|~generous(lucy))))&
(![X]:((old(X)|brave(X))=>(curious(X)<~>creative(X))))&
((?[X]:(funny(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((~curious(X)<~>~tall(X))))=>(?[X]:((~humble... | ~creative(fred) | [] | null | 0 |
Everyone who is not happy is either not quiet or not patient and vice versa.
If susan is both not kind and not happy then someone is both humble and not calm and vice versa.
If someone is brave then someone is not wise or tall.
Everyone who is either wise or rich is not generous or not funny.
Everyone who is either qui... | Mary is not strong. | contradiction | (![X]:(~happy(X)<=>(~quiet(X)<~>~patient(X))))&
(((~kind(susan)&~happy(susan)))<=>(?[X]:((humble(X)&~calm(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~wise(X)|tall(X)))))&
(![X]:((wise(X)<~>rich(X))=>(~generous(X)|~funny(X))))&
(![X]:((quiet(X)<~>old(X))<=>(patient(X)|~old(X))))&
(![X]:(humble(X)<=>~calm(X)))&
(((curious(lucy)... | ~strong(mary) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8426580593187575616529511
% SZS output start Proof for 8426580593187575616529511
24. strong(mary) & ~old(mary) [input p23]
25. ~strong(mary) [input hypothesis]
145. strong(mary) [cnf transformation 24]
146. ~strong(mary) [cnf transformation 25]
276. $false [subsumption resolution 146,145]... | 0 |
Everyone who is quiet is both tall and generous and vice versa. If lucy is both old and wise then someone is both not brave and creative. Everyone who is old or not humble is both not strong and not tall and vice versa. If fred is generous then alice is both not kind and creative. Everyone who is both brave and not ric... | Paul is not quiet. | contradiction | (![X]:(quiet(X)<=>(tall(X)&generous(X))))&
(((old(lucy)&wise(lucy)))=>(?[X]:((~brave(X)&creative(X)))))&
(![X]:((old(X)|~humble(X))<=>(~strong(X)&~tall(X))))&
((generous(fred))=>((~kind(alice)&creative(alice))))&
(![X]:((brave(X)&~rich(X))=>(~calm(X)|~kind(X))))&
(![X]:((humble(X)|~strong(X))<=>(calm(X)<~>funny(X))))&
... | ~quiet(paul) | [
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5287420067894806294969529
% SZS output start Proof for 5287420067894806294969529
16. ? [X0] : ~rich(X0) <=> quiet(paul) [input p15]
18. brave(mary) & ~quiet(mary) [input p17]
20. ~quiet(mary) <~> rich(mary) [input p19]
25. ~quiet(paul) [input hypothesis]
62. (? [X0] : ~rich(X0) | ~quiet(p... | 0 |
If someone is both creative and not humble then someone is both not old and not wise. Everyone who is both generous and not tall is not humble or wise and vice versa. Everyone who is both not curious and not creative is humble or not generous and vice versa. If paul is not kind then fred is both curious and not happy. ... | Susan is not happy. | entailment | ((?[X]:((creative(X)&~humble(X))))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:((generous(X)&~tall(X))<=>(~humble(X)|wise(X))))&
(![X]:((~curious(X)&~creative(X))<=>(humble(X)|~generous(X))))&
((~kind(paul))=>((curious(fred)&~happy(fred))))&
((?[X]:((quiet(X)|~generous(X))))<=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:((curious(X)|... | ~happy(susan) | [
"p1",
"p2",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1251191697201595309994565
% SZS output start Proof for 1251191697201595309994565
2. ! [X0] : ((~tall(X0) & generous(X0)) <=> (wise(X0) | ~humble(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & ~curious(X0)) <=> (~generous(X0) | humble(X0))) [input p2]
5. ? [X0] : (~generous(X0) | quiet(X0)... | 0 |
Everyone who is both humble and not rich is either not calm or not brave.
If someone is either creative or not old then paul is both wise and not calm.
If someone is patient then someone is not wise and vice versa.
Everyone who is not funny or humble is both not happy and not tall.
Everyone who is not rich or strong is... | Fred is not wise. | contradiction | (![X]:((humble(X)&~rich(X))=>(~calm(X)<~>~brave(X))))&
((?[X]:((creative(X)<~>~old(X))))=>((wise(paul)&~calm(paul))))&
((?[X]:(patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|humble(X))=>(~happy(X)&~tall(X))))&
(![X]:((~rich(X)|strong(X))<=>(curious(X)<~>patient(X))))&
(![X]:((~kind(X)|~creative(X))<=>(humble(X)&~... | ~wise(fred) | [
"p2",
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8152323192889152395112088
% SZS output start Proof for 8152323192889152395112088
3. ? [X0] : patient(X0) <=> ? [X0] : ~wise(X0) [input p2]
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) & ~happy(X0))) [input p3]
12. (generous(fred) & ~funny(fred)) <=> ? [X0] : (~humble(X0) | patient... | 0 |
If someone is old or not wise then susan is patient or not humble.
Everyone who is either curious or not curious is not calm or old and vice versa.
If john is tall then someone is patient.
Everyone who is not rich or not patient is either patient or not calm.
If susan is generous or not tall then alice is not tall.
If ... | Paul is not happy. | entailment | ((?[X]:((old(X)|~wise(X))))=>((patient(susan)|~humble(susan))))&
(![X]:((curious(X)<~>~curious(X))<=>(~calm(X)|old(X))))&
((tall(john))=>(?[X]:(patient(X))))&
(![X]:((~rich(X)|~patient(X))=>(patient(X)<~>~calm(X))))&
(((generous(susan)|~tall(susan)))=>(~tall(alice)))&
(((~happy(paul)<~>happy(paul)))<=>((happy(paul)|qui... | ~happy(paul) | [
"p7",
"p9",
"p11",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2592949822731755431865025
% SZS output start Proof for 2592949822731755431865025
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> ~old(X0)) [input p7]
10. ? [X0] : (~happy(X0) <~> happy(X0)) => (funny(paul) & ~rich(paul)) [input p9]
12. ! [X0] : (wise(X0) <=> (happy(X0) | ~quiet(X0))) [input p11]... | 0 |
Everyone who is either humble or brave is both calm and not happy.
If someone is both calm and not old then someone is both not old and not brave.
Everyone who is both generous and not quiet is not rich and vice versa.
Everyone who is both patient and old is creative.
If someone is either not happy or curious then paul... | Fred is calm. | entailment | (![X]:((humble(X)<~>brave(X))=>(calm(X)&~happy(X))))&
((?[X]:((calm(X)&~old(X))))=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((generous(X)&~quiet(X))<=>~rich(X)))&
(![X]:((patient(X)&old(X))=>creative(X)))&
((?[X]:((~happy(X)<~>curious(X))))=>((calm(paul)<~>~generous(paul))))&
(![X]:((~old(X)&~tall(X))<=>(strong(X)<~>tall(X... | calm(fred) | [
"p0",
"p2",
"p6",
"p9",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 703132728933513256589050
% SZS output start Proof for 703132728933513256589050
1. ! [X0] : ((humble(X0) <~> brave(X0)) => (~happy(X0) & calm(X0))) [input p0]
3. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~rich(X0)) [input p2]
7. ! [X0] : ((~patient(X0) & tall(X0)) <=> (rich(X0) & generous(... | 0 |
Everyone who is either brave or not kind is either happy or not kind and vice versa.
Everyone who is both happy and not quiet is not old or not tall.
If john is either rich or not brave then mary is not brave.
Everyone who is tall is both not happy and generous and vice versa.
If someone is not kind then fred is wise o... | Lucy is rich. | neutral | (![X]:((brave(X)<~>~kind(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((happy(X)&~quiet(X))=>(~old(X)|~tall(X))))&
(((rich(john)<~>~brave(john)))=>(~brave(mary)))&
(![X]:(tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:(~kind(X)))=>((wise(fred)|~creative(fred))))&
(![X]:((~creative(X)<~>strong(X))<=>funny(X)))&
((?[X]:((~generous(... | rich(lucy) | [] | null | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is both not generous and not strong is quiet and vice versa.
If someone is either wise or kind then paul is both not brave and not patient.
Everyone who is either not curious or happy is either not humble or not rich.
Everyone who is creative or ... | John is not curious. | neutral | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((~generous(X)&~strong(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>kind(X))))=>((~brave(paul)&~patient(paul))))&
(![X]:((~curious(X)<~>happy(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((creative(X)|old(X))=>(wise(X)|quiet(X))))&
(((curious(mary)&kind(mary)))<=>(?[X]:(wise(X))))&
(![X]:... | ~curious(john) | [] | null | 0 |
If susan is not curious or not creative then someone is both not patient and not generous and vice versa.
Everyone who is either not brave or funny is happy or generous.
Everyone who is not generous is either not funny or kind and vice versa.
Everyone who is not curious or not tall is either not curious or tall and vic... | Mary is not calm. | contradiction | (((~curious(susan)|~creative(susan)))<=>(?[X]:((~patient(X)&~generous(X)))))&
(![X]:((~brave(X)<~>funny(X))=>(happy(X)|generous(X))))&
(![X]:(~generous(X)<=>(~funny(X)<~>kind(X))))&
(![X]:((~curious(X)|~tall(X))<=>(~curious(X)<~>tall(X))))&
((?[X]:((~calm(X)&~rich(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((old(X)&~bra... | ~calm(mary) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1128390243059462008924449
% SZS output start Proof for 1128390243059462008924449
4. ! [X0] : ((~tall(X0) | ~curious(X0)) <=> (~curious(X0) <~> tall(X0))) [input p3]
5. ? [X0] : (~rich(X0) & ~calm(X0)) => ? [X0] : (~old(X0) & wise(X0)) [input p4]
6. ! [X0] : ((~brave(X0) & old(X0)) <=> (wi... | 0 |
Everyone who is not generous is both not tall and curious and vice versa. Everyone who is both not quiet and not patient is rich. Everyone who is both humble and not rich is not strong or not funny and vice versa. Everyone who is old is not strong or not patient. Everyone who is both not wise and kind is either rich or... | Susan is not brave. | contradiction | (![X]:(~generous(X)<=>(~tall(X)&curious(X))))&
(![X]:((~quiet(X)&~patient(X))=>rich(X)))&
(![X]:((humble(X)&~rich(X))<=>(~strong(X)|~funny(X))))&
(![X]:(old(X)=>(~strong(X)|~patient(X))))&
(![X]:((~wise(X)&kind(X))<=>(rich(X)<~>~funny(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~generous(X)&generous(X))))&
(![X]:((old(X)|... | ~brave(susan) | [
"p2",
"p4",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8449060992812712201503711
% SZS output start Proof for 8449060992812712201503711
3. ! [X0] : ((~rich(X0) & humble(X0)) <=> (~funny(X0) | ~strong(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~wise(X0)) <=> (rich(X0) <~> ~funny(X0))) [input p4]
9. ! [X0] : ((~wise(X0) | funny(X0)) => curious(X... | 0 |
If mary is both not tall and humble then someone is not wise or patient.
If susan is both wise and not kind then someone is calm and vice versa.
Everyone who is either calm or wise is tall or not humble.
Everyone who is both not old and funny is both not old and calm.
Everyone who is either strong or calm is not rich o... | Mary is old. | neutral | (((~tall(mary)&humble(mary)))=>(?[X]:((~wise(X)|patient(X)))))&
(((wise(susan)&~kind(susan)))<=>(?[X]:(calm(X))))&
(![X]:((calm(X)<~>wise(X))=>(tall(X)|~humble(X))))&
(![X]:((~old(X)&funny(X))=>(~old(X)&calm(X))))&
(![X]:((strong(X)<~>calm(X))=>(~rich(X)|~strong(X))))&
(![X]:((humble(X)<~>quiet(X))=>(patient(X)<~>~pati... | old(mary) | [] | null | 0 |
If someone is either quiet or not old then someone is not happy.
Everyone who is not brave or calm is brave or not funny and vice versa.
Everyone who is not creative is rich or patient.
If someone is both generous and not brave then someone is both creative and quiet.
If fred is not strong or not funny then paul is old... | Paul is rich. | entailment | ((?[X]:((quiet(X)<~>~old(X))))=>(?[X]:(~happy(X))))&
(![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(... | rich(paul) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8095554631210795980262483
% SZS output start Proof for 8095554631210795980262483
7. ! [X0] : (rich(X0) <=> strong(X0)) [input p6]
14. ! [X0] : (strong(X0) <=> (~rich(X0) | humble(X0))) [input p13]
24. ~rich(paul) [input hypothesis]
51. ! [X0] : ((rich(X0) | ~strong(X0)) & (strong(X0) | ~r... | 0 |
Everyone who is quiet or not strong is either not wise or not curious and vice versa.
Everyone who is both not strong and happy is funny or not strong and vice versa.
Everyone who is both not patient and happy is both tall and not wise.
Everyone who is strong or not rich is not funny or patient.
If someone is either ha... | Susan is brave. | entailment | (![X]:((quiet(X)|~strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((~strong(X)&happy(X))<=>(funny(X)|~strong(X))))&
(![X]:((~patient(X)&happy(X))=>(tall(X)&~wise(X))))&
(![X]:((strong(X)|~rich(X))=>(~funny(X)|patient(X))))&
((?[X]:((happy(X)<~>~tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(~brave(X)&fun... | brave(susan) | [
"p1",
"p2",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6115323752142994773194126
% SZS output start Proof for 6115323752142994773194126
2. ! [X0] : ((happy(X0) & ~strong(X0)) <=> (~strong(X0) | funny(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~patient(X0)) => (~wise(X0) & tall(X0))) [input p2]
6. ! [X0] : ((quiet(X0) | ~happy(X0)) => (funny(X... | 0 |
If lucy is either quiet or not calm then someone is not happy or tall and vice versa. Everyone who is either not generous or quiet is both humble and funny and vice versa. If someone is both generous and not happy then lucy is quiet or not patient. Everyone who is old is patient and vice versa. Everyone who is not pati... | John is not patient. | contradiction | (((quiet(lucy)<~>~calm(lucy)))<=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((~generous(X)<~>quiet(X))<=>(humble(X)&funny(X))))&
((?[X]:((generous(X)&~happy(X))))=>((quiet(lucy)|~patient(lucy))))&
(![X]:(old(X)<=>patient(X)))&
(![X]:((~patient(X)|calm(X))=>(~generous(X)&kind(X))))&
(((kind(lucy)|calm(lucy)))=>((~brave(alice)... | ~patient(john) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2392539821688404917167808
% SZS output start Proof for 2392539821688404917167808
5. ! [X0] : ((calm(X0) | ~patient(X0)) => (kind(X0) & ~generous(X0))) [input p4]
19. generous(john) [input p18]
25. ~patient(john) [input hypothesis]
29. ! [X0] : ((kind(X0) & ~generous(X0)) | (~calm(X0) & pa... | 0 |
If fred is strong then alice is either not brave or strong.
If someone is either not humble or curious then lucy is funny.
If someone is not humble or not funny then someone is not wise or not brave.
If someone is either not curious or not rich then someone is not old and vice versa.
If someone is old then someone is g... | Alice is not wise. | contradiction | ((strong(fred))=>((~brave(alice)<~>strong(alice))))&
((?[X]:((~humble(X)<~>curious(X))))=>(funny(lucy)))&
((?[X]:((~humble(X)|~funny(X))))=>(?[X]:((~wise(X)|~brave(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:(~old(X))))&
((?[X]:(old(X)))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((kind(X)|~rich(X))<=>~humble(... | ~wise(alice) | [
"p5",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3074192017513507164308662
% SZS output start Proof for 3074192017513507164308662
6. ! [X0] : ((~rich(X0) | kind(X0)) <=> ~humble(X0)) [input p5]
12. (~generous(mary) & humble(mary)) <=> ~wise(alice) [input p11]
19. generous(mary) <~> ~rich(mary) [input p18]
24. ~wise(alice) [input hypothe... | 0 |
Everyone who is not curious or patient is happy or not tall. Everyone who is tall is either not funny or tall and vice versa. Everyone who is calm or kind is strong. Everyone who is either not generous or not calm is both old and not funny. Everyone who is both not curious and not strong is not wise or quiet. If someon... | Alice is not quiet. | neutral | (![X]:((~curious(X)|patient(X))=>(happy(X)|~tall(X))))&
(![X]:(tall(X)<=>(~funny(X)<~>tall(X))))&
(![X]:((calm(X)|kind(X))=>strong(X)))&
(![X]:((~generous(X)<~>~calm(X))=>(old(X)&~funny(X))))&
(![X]:((~curious(X)&~strong(X))=>(~wise(X)|quiet(X))))&
((?[X]:((~curious(X)|~old(X))))<=>((wise(alice)|old(alice))))&
(![X]:((... | ~quiet(alice) | [] | null | 0 |
Everyone who is both not curious and not rich is either creative or kind.
If susan is tall then someone is both not tall and rich and vice versa.
If lucy is calm then fred is not kind or not curious and vice versa.
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is n... | Fred is kind. | entailment | (![X]:((~curious(X)&~rich(X))=>(creative(X)<~>kind(X))))&
((tall(susan))<=>(?[X]:((~tall(X)&rich(X)))))&
((calm(lucy))<=>((~kind(fred)|~curious(fred))))&
((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(... | kind(fred) | [
"p2",
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3867675369945091610984306
% SZS output start Proof for 3867675369945091610984306
3. calm(lucy) <=> (~curious(fred) | ~kind(fred)) [input p2]
4. ? [X0] : calm(X0) => ? [X0] : (curious(X0) & ~funny(X0)) [input p3]
12. ! [X0] : ((~funny(X0) | ~happy(X0)) => (quiet(X0) & creative(X0))) [input... | 0 |
If alice is quiet then fred is not humble.
Everyone who is either happy or not tall is not humble or not old and vice versa.
If susan is either strong or not calm then paul is both creative and curious and vice versa.
If susan is wise then someone is humble and vice versa.
Everyone who is not calm is not curious or not... | Fred is not quiet. | entailment | ((quiet(alice))=>(~humble(fred)))&
(![X]:((happy(X)<~>~tall(X))<=>(~humble(X)|~old(X))))&
(((strong(susan)<~>~calm(susan)))<=>((creative(paul)&curious(paul))))&
((wise(susan))<=>(?[X]:(humble(X))))&
(![X]:(~calm(X)<=>(~curious(X)|~tall(X))))&
(![X]:((curious(X)|wise(X))<=>(~humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<... | ~quiet(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1070021740967941310116235
% SZS output start Proof for 1070021740967941310116235
13. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p12]
23. quiet(fred) [input hypothesis]
63. ! [X0] : ((patient(X0) | (~quiet(X0) | patient(X0))) & ((quiet(X0) & ~patient(X0)) | ~patient(X0)))... | 0 |
Everyone who is both not rich and kind is not funny or old.
If someone is both patient and tall then someone is not quiet or not curious.
Everyone who is not kind or creative is either curious or not generous and vice versa.
Everyone who is not funny or generous is kind or patient and vice versa.
Everyone who is either... | Mary is funny. | neutral | (![X]:((~rich(X)&kind(X))=>(~funny(X)|old(X))))&
((?[X]:((patient(X)&tall(X))))=>(?[X]:((~quiet(X)|~curious(X)))))&
(![X]:((~kind(X)|creative(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((~funny(X)|generous(X))<=>(kind(X)|patient(X))))&
(![X]:((strong(X)<~>kind(X))<=>~curious(X)))&
((?[X]:(~wise(X)))<=>(~funny(john)))&
... | funny(mary) | [] | null | 0 |
If someone is either not humble or old then susan is both not strong and not humble and vice versa.
If someone is not kind then someone is both not tall and not funny and vice versa.
If mary is both not rich and old then alice is not brave or wise and vice versa.
Everyone who is both tall and not funny is either not ta... | Alice is tall. | contradiction | ((?[X]:((~humble(X)<~>old(X))))<=>((~strong(susan)&~humble(susan))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)&~funny(X)))))&
(((~rich(mary)&old(mary)))<=>((~brave(alice)|wise(alice))))&
(![X]:((tall(X)&~funny(X))=>(~tall(X)<~>wise(X))))&
(![X]:((~humble(X)&rich(X))<=>(old(X)|strong(X))))&
((?[X]:((~happy(X)<~>~quiet(X)))... | tall(alice) | [
"p2",
"p3",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5249491612253129360946420
% SZS output start Proof for 5249491612253129360946420
3. (old(mary) & ~rich(mary)) <=> (wise(alice) | ~brave(alice)) [input p2]
4. ! [X0] : ((~funny(X0) & tall(X0)) => (~tall(X0) <~> wise(X0))) [input p3]
5. ! [X0] : ((rich(X0) & ~humble(X0)) <=> (strong(X0) | o... | 0 |
Everyone who is both not calm and not creative is generous or not kind. If fred is not brave or not humble then lucy is not curious. If someone is both wise and curious then john is not tall or not patient. If someone is not tall or humble then mary is either rich or not quiet. If someone is old or creative then alice ... | Susan is not patient. | neutral | (![X]:((~calm(X)&~creative(X))=>(generous(X)|~kind(X))))&
(((~brave(fred)|~humble(fred)))=>(~curious(lucy)))&
((?[X]:((wise(X)&curious(X))))=>((~tall(john)|~patient(john))))&
((?[X]:((~tall(X)|humble(X))))=>((rich(mary)<~>~quiet(mary))))&
((?[X]:((old(X)|creative(X))))=>(patient(alice)))&
(![X]:((~patient(X)|patient(X)... | ~patient(susan) | [] | null | 0 |
Everyone who is both calm and not rich is either tall or creative.
If paul is rich or not brave then someone is either generous or tall.
If someone is old then lucy is not humble or not happy and vice versa.
Everyone who is either not rich or not creative is curious or not tall and vice versa.
If john is not humble or ... | Fred is creative. | neutral | (![X]:((calm(X)&~rich(X))=>(tall(X)<~>creative(X))))&
(((rich(paul)|~brave(paul)))=>(?[X]:((generous(X)<~>tall(X)))))&
((?[X]:(old(X)))<=>((~humble(lucy)|~happy(lucy))))&
(![X]:((~rich(X)<~>~creative(X))<=>(curious(X)|~tall(X))))&
(((~humble(john)|tall(john)))=>((~kind(fred)|~strong(fred))))&
(((strong(fred)&~tall(fred... | creative(fred) | [] | null | 0 |
If someone is funny or kind then someone is either not wise or humble and vice versa. Everyone who is happy is not old and vice versa. Everyone who is not happy is both generous and calm. Everyone who is old or rich is kind. Everyone who is funny is not creative or not kind. Everyone who is not humble or old is rich or... | Fred is not old. | entailment | ((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))... | ~old(fred) | [
"p1",
"p2",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2675119872009217634109943
% SZS output start Proof for 2675119872009217634109943
2. ! [X0] : (happy(X0) <=> ~old(X0)) [input p1]
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
8. ! [X0] : ((generous(X0) & humble(X0)) => (happy(X0) & kind(X0))) [input p7]
11. ! [X0] : ((g... | 0 |
If john is humble then john is old.
If mary is not kind or not humble then someone is not brave and vice versa.
If mary is either wise or not generous then mary is not kind or not brave.
Everyone who is quiet or funny is not funny.
If someone is both generous and wise then fred is either not humble or not patient.
Ever... | Susan is not strong. | neutral | ((humble(john))=>(old(john)))&
(((~kind(mary)|~humble(mary)))<=>(?[X]:(~brave(X))))&
(((wise(mary)<~>~generous(mary)))=>((~kind(mary)|~brave(mary))))&
(![X]:((quiet(X)|funny(X))=>~funny(X)))&
((?[X]:((generous(X)&wise(X))))=>((~humble(fred)<~>~patient(fred))))&
(![X]:(~rich(X)=>(funny(X)&~quiet(X))))&
(![X]:((patient(X... | ~strong(susan) | [] | null | 0 |
If alice is both curious and not strong then someone is kind or not funny.
Everyone who is both not old and not wise is both not quiet and kind.
If someone is either not patient or not old then someone is humble.
If susan is not wise or patient then john is strong or not strong.
Everyone who is patient is both creative... | Alice is not happy. | neutral | (((curious(alice)&~strong(alice)))=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~old(X)&~wise(X))=>(~quiet(X)&kind(X))))&
((?[X]:((~patient(X)<~>~old(X))))=>(?[X]:(humble(X))))&
(((~wise(susan)|patient(susan)))=>((strong(john)|~strong(john))))&
(![X]:(patient(X)<=>(creative(X)&~patient(X))))&
(((calm(lucy)<~>~funny(lucy)))<... | ~happy(alice) | [] | null | 0 |
If someone is both not old and not wise then someone is both not old and not curious and vice versa.
Everyone who is not brave or quiet is either not old or not rich and vice versa.
Everyone who is both tall and not rich is not old and vice versa.
If mary is either not creative or wise then someone is either humble or ... | Lucy is not rich. | neutral | ((?[X]:((~old(X)&~wise(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:((~brave(X)|quiet(X))<=>(~old(X)<~>~rich(X))))&
(![X]:((tall(X)&~rich(X))<=>~old(X)))&
(((~creative(mary)<~>wise(mary)))=>(?[X]:((humble(X)<~>creative(X)))))&
(![X]:((~curious(X)&happy(X))<=>~tall(X)))&
(![X]:((creative(X)&~funny(X))<=>(~quiet(X)|~wi... | ~rich(lucy) | [] | null | 0 |
If paul is not creative or kind then john is strong or not tall.
If mary is either strong or not humble then someone is either not old or not humble and vice versa.
If fred is either not funny or humble then someone is both not generous and funny.
Everyone who is not old or strong is strong or generous and vice versa.
... | Lucy is not creative. | contradiction | (((~creative(paul)|kind(paul)))=>((strong(john)|~tall(john))))&
(((strong(mary)<~>~humble(mary)))<=>(?[X]:((~old(X)<~>~humble(X)))))&
(((~funny(fred)<~>humble(fred)))=>(?[X]:((~generous(X)&funny(X)))))&
(![X]:((~old(X)|strong(X))<=>(strong(X)|generous(X))))&
((?[X]:((tall(X)<~>~humble(X))))=>(humble(fred)))&
(![X]:((~h... | ~creative(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6734887221918439379112713
% SZS output start Proof for 6734887221918439379112713
10. ! [X0] : ((curious(X0) & creative(X0)) <=> ~creative(X0)) [input p9]
23. ~creative(lucy) [input hypothesis]
56. ! [X0] : (((curious(X0) & creative(X0)) | creative(X0)) & (~creative(X0) | (~curious(X0) | ~... | 0 |
If susan is not tall then someone is both kind and brave and vice versa. Everyone who is strong or kind is kind and vice versa. If john is both not wise and not strong then someone is either not funny or calm. Everyone who is not funny or not rich is either kind or not creative and vice versa. If lucy is both calm and ... | Lucy is kind. | neutral | ((~tall(susan))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:((strong(X)|kind(X))<=>kind(X)))&
(((~wise(john)&~strong(john)))=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((~funny(X)|~rich(X))<=>(kind(X)<~>~creative(X))))&
(((calm(lucy)&~kind(lucy)))<=>((tall(john)<~>curious(john))))&
(![X]:(~quiet(X)=>(curious(X)|kind(X))))&
(![X... | kind(lucy) | [] | null | 0 |
If fred is both not kind and creative then someone is either quiet or generous. If lucy is kind then someone is not humble or calm. Everyone who is both not calm and not kind is not patient or not rich and vice versa. Everyone who is quiet or not old is both brave and old. If susan is either not quiet or wise then some... | Lucy is creative. | neutral | (((~kind(fred)&creative(fred)))=>(?[X]:((quiet(X)<~>generous(X)))))&
((kind(lucy))=>(?[X]:((~humble(X)|calm(X)))))&
(![X]:((~calm(X)&~kind(X))<=>(~patient(X)|~rich(X))))&
(![X]:((quiet(X)|~old(X))=>(brave(X)&old(X))))&
(((~quiet(susan)<~>wise(susan)))<=>(?[X]:((tall(X)|~curious(X)))))&
(((funny(mary)|quiet(mary)))<=>(h... | creative(lucy) | [] | null | 0 |
Everyone who is either old or not rich is either quiet or not humble and vice versa.
Everyone who is not humble is both not tall and humble.
Everyone who is both tall and kind is either not rich or creative and vice versa.
Everyone who is creative or wise is funny or not calm.
If someone is calm then someone is both fu... | Paul is humble. | entailment | (![X]:((old(X)<~>~rich(X))<=>(quiet(X)<~>~humble(X))))&
(![X]:(~humble(X)=>(~tall(X)&humble(X))))&
(![X]:((tall(X)&kind(X))<=>(~rich(X)<~>creative(X))))&
(![X]:((creative(X)|wise(X))=>(funny(X)|~calm(X))))&
((?[X]:(calm(X)))<=>(?[X]:((funny(X)&calm(X)))))&
((?[X]:((~generous(X)|creative(X))))<=>((strong(susan)<~>funny(... | humble(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 703712001582624859841945
% SZS output start Proof for 703712001582624859841945
2. ! [X0] : (~humble(X0) => (humble(X0) & ~tall(X0))) [input p1]
23. ~humble(paul) [input hypothesis]
30. ! [X0] : ((humble(X0) & ~tall(X0)) | humble(X0)) [ennf transformation 2]
88. humble(X0) | humble(X0) [cn... | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Susan is generous. | neutral | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | generous(susan) | [] | null | 0 |
If alice is kind or old then someone is quiet.
If someone is both not tall and not curious then mary is either strong or curious and vice versa.
Everyone who is either not creative or quiet is brave.
Everyone who is both not quiet and curious is both not rich and kind and vice versa.
If someone is not old or not patien... | Susan is not happy. | entailment | (((kind(alice)|old(alice)))=>(?[X]:(quiet(X))))&
((?[X]:((~tall(X)&~curious(X))))<=>((strong(mary)<~>curious(mary))))&
(![X]:((~creative(X)<~>quiet(X))=>brave(X)))&
(![X]:((~quiet(X)&curious(X))<=>(~rich(X)&kind(X))))&
((?[X]:((~old(X)|~patient(X))))=>(~humble(fred)))&
(![X]:((calm(X)|~generous(X))=>(~rich(X)|curious(X... | ~happy(susan) | [
"p3",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7806935229683341272604120
% SZS output start Proof for 7806935229683341272604120
4. ! [X0] : ((curious(X0) & ~quiet(X0)) <=> (kind(X0) & ~rich(X0))) [input p3]
12. ! [X0] : ((~calm(X0) & ~happy(X0)) <=> ~kind(X0)) [input p11]
18. ~rich(susan) & quiet(susan) [input p17]
25. happy(susan) [i... | 0 |
If someone is funny or patient then paul is old or curious. Everyone who is not quiet is either patient or not curious and vice versa. Everyone who is humble is rich or not quiet. Everyone who is strong or not wise is either funny or not happy. If john is not curious or patient then alice is not calm or not funny. If f... | Fred is not creative. | entailment | ((?[X]:((funny(X)|patient(X))))=>((old(paul)|curious(paul))))&
(![X]:(~quiet(X)<=>(patient(X)<~>~curious(X))))&
(![X]:(humble(X)=>(rich(X)|~quiet(X))))&
(![X]:((strong(X)|~wise(X))=>(funny(X)<~>~happy(X))))&
(((~curious(john)|patient(john)))=>((~calm(alice)|~funny(alice))))&
((~strong(fred))<=>(?[X]:(quiet(X))))&
(((~g... | ~creative(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2231887038963310153334032
% SZS output start Proof for 2231887038963310153334032
10. ! [X0] : ((creative(X0) | rich(X0)) => (~curious(X0) & ~creative(X0))) [input p9]
24. creative(fred) [input hypothesis]
35. ! [X0] : ((~curious(X0) & ~creative(X0)) | (~creative(X0) & ~rich(X0))) [ennf tr... | 0 |
Everyone who is curious is kind and vice versa.
If someone is either not rich or creative then someone is kind and vice versa.
Everyone who is either funny or rich is either not curious or creative and vice versa.
Everyone who is both not brave and not kind is either not patient or kind.
Everyone who is either not happ... | Lucy is not happy. | entailment | (![X]:(curious(X)<=>kind(X)))&
((?[X]:((~rich(X)<~>creative(X))))<=>(?[X]:(kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(humble(X)|rich(X))))&
(![X]:((kind(X)<~>~old(X))<=>(rich(X)&patient(X))))&
(![X]:((b... | ~happy(lucy) | [
"p5",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 385193343168592987498744
% SZS output start Proof for 385193343168592987498744
6. ! [X0] : ((kind(X0) <~> ~old(X0)) <=> (patient(X0) & rich(X0))) [input p5]
10. ! [X0] : ((~kind(X0) | patient(X0)) <=> (kind(X0) & ~kind(X0))) [input p9]
11. ! [X0] : ((~happy(X0) <~> creative(X0)) <=> (old(... | 0 |
If alice is both brave and kind then someone is patient and vice versa.
Everyone who is both wise and generous is strong or not strong.
Everyone who is either not funny or quiet is generous.
If someone is not funny or not humble then someone is not happy and vice versa.
Everyone who is not kind or old is both not tall ... | Fred is not old. | entailment | (((brave(alice)&kind(alice)))<=>(?[X]:(patient(X))))&
(![X]:((wise(X)&generous(X))=>(strong(X)|~strong(X))))&
(![X]:((~funny(X)<~>quiet(X))=>generous(X)))&
((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:(~happy(X))))&
(![X]:((~kind(X)|old(X))=>(~tall(X)&curious(X))))&
(((generous(alice)<~>~patient(alice)))=>(?[X]:((tall(X)<~... | ~old(fred) | [
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6905497784808711961865181
% SZS output start Proof for 6905497784808711961865181
11. ? [X0] : (~quiet(X0) & ~patient(X0)) <=> ? [X0] : old(X0) [input p10]
15. ! [X0] : ((~tall(X0) | generous(X0)) <=> ~generous(X0)) [input p14]
16. ? [X0] : (~creative(X0) & generous(X0)) <=> ? [X0] : ~quie... | 0 |
If someone is either generous or not creative then someone is brave.
Everyone who is not tall is patient or not creative and vice versa.
Everyone who is not funny or not calm is not kind or patient.
If someone is both quiet and rich then someone is not wise or humble and vice versa.
If someone is not curious then someo... | Lucy is tall. | neutral | ((?[X]:((generous(X)<~>~creative(X))))=>(?[X]:(brave(X))))&
(![X]:(~tall(X)<=>(patient(X)|~creative(X))))&
(![X]:((~funny(X)|~calm(X))=>(~kind(X)|patient(X))))&
((?[X]:((quiet(X)&rich(X))))<=>(?[X]:((~wise(X)|humble(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)|funny(X)))))&
((?[X]:((~old(X)<~>wise(X))))<=>((~patient... | tall(lucy) | [] | null | 0 |
Everyone who is either not quiet or tall is both happy and not kind and vice versa. Everyone who is old is both kind and not curious and vice versa. If someone is not strong then someone is not wise or not humble. Everyone who is both not quiet and not wise is wise or not generous and vice versa. Everyone who is both n... | John is creative. | contradiction | (![X]:((~quiet(X)<~>tall(X))<=>(happy(X)&~kind(X))))&
(![X]:(old(X)<=>(kind(X)&~curious(X))))&
((?[X]:(~strong(X)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~quiet(X)&~wise(X))<=>(wise(X)|~generous(X))))&
(![X]:((~wise(X)&~kind(X))<=>(funny(X)|creative(X))))&
(![X]:((~rich(X)<~>~tall(X))<=>~wise(X)))&
(![X]:((funny(X)... | creative(john) | [
"p1",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1024780588922213834354109
% SZS output start Proof for 1024780588922213834354109
2. ! [X0] : (old(X0) <=> (~curious(X0) & kind(X0))) [input p1]
4. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (~generous(X0) | wise(X0))) [input p3]
5. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> (creative(X0) | funny(X... | 0 |
If someone is kind then lucy is either not strong or creative. If someone is either not strong or not brave then john is not wise or not creative and vice versa. If someone is generous or happy then someone is both not strong and curious. Everyone who is curious is not wise and vice versa. Everyone who is not wise is b... | Paul is not brave. | contradiction | ((?[X]:(kind(X)))=>((~strong(lucy)<~>creative(lucy))))&
((?[X]:((~strong(X)<~>~brave(X))))<=>((~wise(john)|~creative(john))))&
((?[X]:((generous(X)|happy(X))))=>(?[X]:((~strong(X)&curious(X)))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:(~wise(X)=>(~quiet(X)&~curious(X))))&
(![X]:((kind(X)|~creative(X))<=>(humble(X)|~calm... | ~brave(paul) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8569642354347680620179409
% SZS output start Proof for 8569642354347680620179409
3. ? [X0] : (happy(X0) | generous(X0)) => ? [X0] : (curious(X0) & ~strong(X0)) [input p2]
4. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p3]
5. ! [X0] : (~wise(X0) => (~curious(X0) & ~quiet(X0))) [input p4]
1... | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is both rich and not patient and vice versa.
Everyone who is either not funny or not old is both generous and not brave and vice versa.
If john is not funny or not wise then mary is either not brave or not happy and vice ve... | John is not quiet. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((~funny(X)<~>~old(X))<=>(generous(X)&~brave(X))))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)... | ~quiet(john) | [] | null | 0 |
If susan is either generous or not rich then alice is both brave and not kind.
Everyone who is both calm and old is not generous or not patient and vice versa.
If someone is kind or strong then paul is curious.
Everyone who is not strong is not generous or not calm.
Everyone who is either not rich or wise is both not w... | Alice is not kind. | entailment | (((generous(susan)<~>~rich(susan)))=>((brave(alice)&~kind(alice))))&
(![X]:((calm(X)&old(X))<=>(~generous(X)|~patient(X))))&
((?[X]:((kind(X)|strong(X))))=>(curious(paul)))&
(![X]:(~strong(X)=>(~generous(X)|~calm(X))))&
(![X]:((~rich(X)<~>wise(X))<=>(~wise(X)&~happy(X))))&
(![X]:((generous(X)|wise(X))<=>~generous(X)))&... | ~kind(alice) | [
"p1",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 403179377443148954648798
% SZS output start Proof for 403179377443148954648798
2. ! [X0] : ((old(X0) & calm(X0)) <=> (~patient(X0) | ~generous(X0))) [input p1]
6. ! [X0] : ((wise(X0) | generous(X0)) <=> ~generous(X0)) [input p5]
11. ! [X0] : ((~quiet(X0) | kind(X0)) => (~calm(X0) & brave(... | 0 |
Everyone who is not calm or not strong is not humble.
Everyone who is not calm is wise or strong and vice versa.
Everyone who is calm is not calm or not funny and vice versa.
Everyone who is either calm or not funny is not calm or not rich.
If someone is not quiet then paul is strong or not calm.
If fred is either old ... | Susan is not generous. | neutral | (![X]:((~calm(X)|~strong(X))=>~humble(X)))&
(![X]:(~calm(X)<=>(wise(X)|strong(X))))&
(![X]:(calm(X)<=>(~calm(X)|~funny(X))))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)|~rich(X))))&
((?[X]:(~quiet(X)))=>((strong(paul)|~calm(paul))))&
(((old(fred)<~>wise(fred)))=>((tall(susan)|patient(susan))))&
(![X]:((wise(X)|patient(X))... | ~generous(susan) | [] | null | 0 |
Everyone who is either funny or not generous is either old or not brave and vice versa.
If someone is not generous or not happy then john is not wise or not rich and vice versa.
Everyone who is both not kind and not generous is creative and vice versa.
If someone is either tall or rich then alice is both not happy and ... | John is not funny. | neutral | (![X]:((funny(X)<~>~generous(X))<=>(old(X)<~>~brave(X))))&
((?[X]:((~generous(X)|~happy(X))))<=>((~wise(john)|~rich(john))))&
(![X]:((~kind(X)&~generous(X))<=>creative(X)))&
((?[X]:((tall(X)<~>rich(X))))=>((~happy(alice)&creative(alice))))&
((~creative(paul))<=>(?[X]:(brave(X))))&
((?[X]:((humble(X)<~>~wise(X))))=>((~c... | ~funny(john) | [] | null | 0 |
If paul is not old or happy then paul is calm or brave. Everyone who is either not happy or humble is either not funny or tall. If susan is either humble or happy then someone is strong. If someone is either not curious or kind then john is both not rich and not happy. If someone is not generous or not patient then som... | Lucy is rich. | contradiction | (((~old(paul)|happy(paul)))=>((calm(paul)|brave(paul))))&
(![X]:((~happy(X)<~>humble(X))=>(~funny(X)<~>tall(X))))&
(((humble(susan)<~>happy(susan)))=>(?[X]:(strong(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>((~rich(john)&~happy(john))))&
((?[X]:((~generous(X)|~patient(X))))=>(?[X]:((~humble(X)<~>~funny(X)))))&
(![X]:((g... | rich(lucy) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1800037200117030290258636
% SZS output start Proof for 1800037200117030290258636
9. ? [X0] : rich(X0) <=> ? [X0] : (~happy(X0) & ~kind(X0)) [input p8]
15. ! [X0] : ((happy(X0) & quiet(X0)) <=> (~rich(X0) | rich(X0))) [input p14]
24. rich(lucy) [input hypothesis]
27. ? [X0] : rich(X0) <=> ... | 0 |
Everyone who is not strong or not generous is not calm.
If someone is either humble or not humble then mary is both not strong and curious.
Everyone who is both tall and brave is either not calm or not rich.
Everyone who is not generous is either wise or tall and vice versa.
Everyone who is either not curious or curiou... | John is not happy. | neutral | (![X]:((~strong(X)|~generous(X))=>~calm(X)))&
((?[X]:((humble(X)<~>~humble(X))))=>((~strong(mary)&curious(mary))))&
(![X]:((tall(X)&brave(X))=>(~calm(X)<~>~rich(X))))&
(![X]:(~generous(X)<=>(wise(X)<~>tall(X))))&
(![X]:((~curious(X)<~>curious(X))=>brave(X)))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:(~creative(X))))&
(((... | ~happy(john) | [] | null | 0 |
Everyone who is both not old and not rich is both rich and not tall and vice versa.
Everyone who is not old or not humble is both kind and creative.
Everyone who is both kind and not rich is both rich and not calm.
Everyone who is both curious and not patient is either humble or old and vice versa.
If someone is humble... | Mary is funny. | entailment | (![X]:((~old(X)&~rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&creative(X))))&
(![X]:((kind(X)&~rich(X))=>(rich(X)&~calm(X))))&
(![X]:((curious(X)&~patient(X))<=>(humble(X)<~>old(X))))&
((?[X]:((humble(X)|rich(X))))=>(~strong(mary)))&
((?[X]:(~generous(X)))<=>((calm(susan)|funny(susan))))&
(![X... | funny(mary) | [
"p1",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3553330306518466032904162
% SZS output start Proof for 3553330306518466032904162
2. ! [X0] : ((~humble(X0) | ~old(X0)) => (creative(X0) & kind(X0))) [input p1]
5. ? [X0] : (rich(X0) | humble(X0)) => ~strong(mary) [input p4]
11. ! [X0] : ((kind(X0) | ~curious(X0)) <=> ~creative(X0)) [input... | 0 |
If susan is either not calm or brave then someone is both kind and not funny and vice versa. If someone is not tall then paul is curious. Everyone who is old is funny. Everyone who is either old or not brave is both not patient and not rich and vice versa. Everyone who is kind is both patient and not creative. If john ... | John is not curious. | contradiction | (((~calm(susan)<~>brave(susan)))<=>(?[X]:((kind(X)&~funny(X)))))&
((?[X]:(~tall(X)))=>(curious(paul)))&
(![X]:(old(X)=>funny(X)))&
(![X]:((old(X)<~>~brave(X))<=>(~patient(X)&~rich(X))))&
(![X]:(kind(X)=>(patient(X)&~creative(X))))&
(((creative(john)|~humble(john)))<=>(?[X]:(brave(X))))&
(((~curious(john)|~kind(john)))=... | ~curious(john) | [
"p4",
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6806948943013190716703250
% SZS output start Proof for 6806948943013190716703250
5. ! [X0] : (kind(X0) => (~creative(X0) & patient(X0))) [input p4]
7. (~kind(john) | ~curious(john)) => creative(john) [input p6]
23. kind(john) & quiet(john) [input p22]
25. ~curious(john) [input hypothesis]... | 0 |
If someone is not patient or rich then someone is not happy or humble. Everyone who is either not happy or brave is not brave or wise and vice versa. Everyone who is creative or curious is either not generous or not creative and vice versa. If someone is both not funny and wise then someone is not strong or not calm an... | John is curious. | entailment | ((?[X]:((~patient(X)|rich(X))))=>(?[X]:((~happy(X)|humble(X)))))&
(![X]:((~happy(X)<~>brave(X))<=>(~brave(X)|wise(X))))&
(![X]:((creative(X)|curious(X))<=>(~generous(X)<~>~creative(X))))&
((?[X]:((~funny(X)&wise(X))))<=>(?[X]:((~strong(X)|~calm(X)))))&
(![X]:((brave(X)<~>~curious(X))=>(~funny(X)<~>~rich(X))))&
(![X]:(f... | curious(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4309943776496519312400292
% SZS output start Proof for 4309943776496519312400292
6. ! [X0] : (funny(X0) <=> (~curious(X0) & ~funny(X0))) [input p5]
25. ~curious(john) [input hypothesis]
51. ! [X0] : ((funny(X0) | (curious(X0) | funny(X0))) & ((~curious(X0) & ~funny(X0)) | ~funny(X0))) [nn... | 0 |
Everyone who is not happy is not kind or not humble and vice versa.
Everyone who is both not patient and not strong is both not kind and calm and vice versa.
If someone is not curious or not calm then someone is not rich and vice versa.
Everyone who is not quiet is either curious or not humble and vice versa.
Everyone ... | Mary is not kind. | neutral | (![X]:(~happy(X)<=>(~kind(X)|~humble(X))))&
(![X]:((~patient(X)&~strong(X))<=>(~kind(X)&calm(X))))&
((?[X]:((~curious(X)|~calm(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~quiet(X)<=>(curious(X)<~>~humble(X))))&
(![X]:((patient(X)&happy(X))<=>(funny(X)<~>~old(X))))&
((?[X]:((~quiet(X)<~>~rich(X))))=>(?[X]:(~calm(X))))&
(((~stro... | ~kind(mary) | [] | null | 0 |
If someone is not rich or old then someone is either kind or funny.
If fred is both not calm and not brave then someone is humble.
Everyone who is both not patient and creative is both not patient and tall.
If someone is either strong or humble then someone is both humble and not creative and vice versa.
If susan is pa... | Susan is patient. | neutral | ((?[X]:((~rich(X)|old(X))))=>(?[X]:((kind(X)<~>funny(X)))))&
(((~calm(fred)&~brave(fred)))=>(?[X]:(humble(X))))&
(![X]:((~patient(X)&creative(X))=>(~patient(X)&tall(X))))&
((?[X]:((strong(X)<~>humble(X))))<=>(?[X]:((humble(X)&~creative(X)))))&
(((patient(susan)|~strong(susan)))<=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((c... | patient(susan) | [] | null | 0 |
If lucy is both strong and not wise then someone is both humble and not quiet and vice versa.
Everyone who is not strong is kind and vice versa.
Everyone who is both not patient and not curious is not creative.
If paul is either funny or brave then lucy is either not humble or not funny and vice versa.
Everyone who is ... | Alice is creative. | neutral | (((strong(lucy)&~wise(lucy)))<=>(?[X]:((humble(X)&~quiet(X)))))&
(![X]:(~strong(X)<=>kind(X)))&
(![X]:((~patient(X)&~curious(X))=>~creative(X)))&
(((funny(paul)<~>brave(paul)))<=>((~humble(lucy)<~>~funny(lucy))))&
(![X]:(~brave(X)=>(~calm(X)&~strong(X))))&
(![X]:((~happy(X)|~calm(X))<=>(~humble(X)<~>patient(X))))&
(((~... | creative(alice) | [] | null | 0 |
Everyone who is strong is not old and vice versa. Everyone who is rich or not generous is not funny or strong. Everyone who is not patient or strong is both not rich and rich and vice versa. If someone is both strong and kind then someone is not tall or kind. Everyone who is patient is both quiet and not kind. Everyone... | Mary is wise. | entailment | (![X]:(strong(X)<=>~old(X)))&
(![X]:((rich(X)|~generous(X))=>(~funny(X)|strong(X))))&
(![X]:((~patient(X)|strong(X))<=>(~rich(X)&rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(patient(X)=>(quiet(X)&~kind(X))))&
(![X]:(~patient(X)<=>(quiet(X)<~>wise(X))))&
(![X]:((~humble(X)&strong(X))<=... | wise(mary) | [
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6019147205340363720473948
% SZS output start Proof for 6019147205340363720473948
3. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (rich(X0) & ~rich(X0))) [input p2]
5. ! [X0] : (patient(X0) => (~kind(X0) & quiet(X0))) [input p4]
6. ! [X0] : (~patient(X0) <=> (quiet(X0) <~> wise(X0))) [input p... | 0 |
Everyone who is both not happy and brave is either brave or not humble and vice versa.
Everyone who is either not humble or old is funny or kind.
Everyone who is both patient and generous is either not kind or strong and vice versa.
If mary is either quiet or not wise then someone is not happy or tall.
Everyone who is ... | Mary is not strong. | contradiction | (![X]:((~happy(X)&brave(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>old(X))=>(funny(X)|kind(X))))&
(![X]:((patient(X)&generous(X))<=>(~kind(X)<~>strong(X))))&
(((quiet(mary)<~>~wise(mary)))=>(?[X]:((~happy(X)|tall(X)))))&
(![X]:((~kind(X)<~>creative(X))<=>(~wise(X)|old(X))))&
(![X]:((calm(X)|~humble(X))=>(hap... | ~strong(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3716394951711185020882000
% SZS output start Proof for 3716394951711185020882000
23. humble(mary) & strong(mary) [input p22]
25. ~strong(mary) [input hypothesis]
140. strong(mary) [cnf transformation 23]
143. ~strong(mary) [cnf transformation 25]
241. $false [subsumption resolution 143,14... | 0 |
Everyone who is brave is both not rich and not generous.
Everyone who is both tall and not tall is humble or quiet and vice versa.
Everyone who is strong is not generous or humble and vice versa.
Everyone who is happy is both not tall and patient.
If someone is not rich then mary is not tall or not brave.
Everyone who ... | Mary is not tall. | contradiction | (![X]:(brave(X)=>(~rich(X)&~generous(X))))&
(![X]:((tall(X)&~tall(X))<=>(humble(X)|quiet(X))))&
(![X]:(strong(X)<=>(~generous(X)|humble(X))))&
(![X]:(happy(X)=>(~tall(X)&patient(X))))&
((?[X]:(~rich(X)))=>((~tall(mary)|~brave(mary))))&
(![X]:(~curious(X)<=>(tall(X)|~calm(X))))&
((?[X]:((curious(X)|kind(X))))<=>(?[X]:((... | ~tall(mary) | [
"p0",
"p1",
"p6",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 601801610937167548475198
% SZS output start Proof for 601801610937167548475198
1. ! [X0] : (brave(X0) => (~generous(X0) & ~rich(X0))) [input p0]
2. ! [X0] : ((~tall(X0) & tall(X0)) <=> (quiet(X0) | humble(X0))) [input p1]
7. ? [X0] : (kind(X0) | curious(X0)) <=> ? [X0] : (~tall(X0) & brav... | 0 |
Everyone who is calm or not quiet is generous or not funny and vice versa.
If susan is both not curious and humble then mary is either not curious or happy.
Everyone who is wise or not generous is both brave and not wise and vice versa.
Everyone who is either rich or not strong is both not generous and not wise and vic... | John is quiet. | entailment | (![X]:((calm(X)|~quiet(X))<=>(generous(X)|~funny(X))))&
(((~curious(susan)&humble(susan)))=>((~curious(mary)<~>happy(mary))))&
(![X]:((wise(X)|~generous(X))<=>(brave(X)&~wise(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(~generous(X)&~wise(X))))&
(![X]:((funny(X)&kind(X))<=>~calm(X)))&
(![X]:(strong(X)<=>(calm(X)<~>generous(... | quiet(john) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1664914065748479580988754
% SZS output start Proof for 1664914065748479580988754
3. ! [X0] : ((~generous(X0) | wise(X0)) <=> (~wise(X0) & brave(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~strong(X0)) <=> (~wise(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((kind(X0) & funny(X0)) <=> ~cal... | 0 |
If john is either not kind or creative then someone is either not old or tall and vice versa.
If mary is not funny then someone is either not brave or not creative and vice versa.
If someone is either not rich or not tall then alice is not old or not wise and vice versa.
Everyone who is not funny or old is creative or ... | John is tall. | neutral | (((~kind(john)<~>creative(john)))<=>(?[X]:((~old(X)<~>tall(X)))))&
((~funny(mary))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((~old(alice)|~wise(alice))))&
(![X]:((~funny(X)|old(X))<=>(creative(X)|~funny(X))))&
(![X]:((~humble(X)&~wise(X))=>(~curious(X)|~brave(X))))&
(![X]:((happy(X)|cal... | tall(john) | [] | null | 0 |
Everyone who is creative or not creative is either tall or not generous and vice versa.
Everyone who is either old or tall is brave or funny.
If mary is not rich then someone is not strong or not kind and vice versa.
If someone is strong then lucy is kind and vice versa.
Everyone who is not rich is not generous or humb... | Fred is strong. | contradiction | (![X]:((creative(X)|~creative(X))<=>(tall(X)<~>~generous(X))))&
(![X]:((old(X)<~>tall(X))=>(brave(X)|funny(X))))&
((~rich(mary))<=>(?[X]:((~strong(X)|~kind(X)))))&
((?[X]:(strong(X)))<=>(kind(lucy)))&
(![X]:(~rich(X)=>(~generous(X)|humble(X))))&
((~generous(paul))<=>(?[X]:(~calm(X))))&
((?[X]:((strong(X)<~>brave(X))))<... | strong(fred) | [
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7530065677865584225441463
% SZS output start Proof for 7530065677865584225441463
9. ! [X0] : ((brave(X0) | strong(X0)) <=> (~tall(X0) & curious(X0))) [input p8]
21. generous(fred) & ~curious(fred) [input p20]
25. strong(fred) [input hypothesis]
59. ! [X0] : (((brave(X0) | strong(X0)) | (t... | 0 |
Everyone who is not curious is both tall and not strong and vice versa.
If lucy is happy or not curious then fred is calm.
Everyone who is either old or patient is happy and vice versa.
Everyone who is patient is either strong or brave and vice versa.
If paul is either funny or not curious then fred is not strong and v... | John is not calm. | contradiction | (![X]:(~curious(X)<=>(tall(X)&~strong(X))))&
(((happy(lucy)|~curious(lucy)))=>(calm(fred)))&
(![X]:((old(X)<~>patient(X))<=>happy(X)))&
(![X]:(patient(X)<=>(strong(X)<~>brave(X))))&
(((funny(paul)<~>~curious(paul)))<=>(~strong(fred)))&
(![X]:((patient(X)&~creative(X))<=>(generous(X)<~>brave(X))))&
(![X]:(creative(X)=>(... | ~calm(john) | [
"p2",
"p3",
"p7",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1240443831912775589390922
% SZS output start Proof for 1240443831912775589390922
3. ! [X0] : ((old(X0) <~> patient(X0)) <=> happy(X0)) [input p2]
4. ! [X0] : (patient(X0) <=> (strong(X0) <~> brave(X0))) [input p3]
8. ! [X0] : (old(X0) => (~strong(X0) <~> happy(X0))) [input p7]
13. ! [X0] ... | 0 |
If susan is humble then someone is either not patient or not happy and vice versa.
If someone is both not patient and not kind then someone is either tall or not kind.
If someone is either not kind or not strong then mary is both not kind and not tall and vice versa.
Everyone who is both tall and not calm is both kind ... | Alice is curious. | neutral | ((humble(susan))<=>(?[X]:((~patient(X)<~>~happy(X)))))&
((?[X]:((~patient(X)&~kind(X))))=>(?[X]:((tall(X)<~>~kind(X)))))&
((?[X]:((~kind(X)<~>~strong(X))))<=>((~kind(mary)&~tall(mary))))&
(![X]:((tall(X)&~calm(X))=>(kind(X)&~tall(X))))&
((~strong(paul))=>(?[X]:((~strong(X)|curious(X)))))&
((brave(mary))<=>((~generous(a... | curious(alice) | [] | null | 0 |
Everyone who is both brave and not curious is either creative or curious and vice versa.
If mary is both not rich and not happy then mary is kind and vice versa.
If alice is quiet or not brave then someone is not strong or not old.
Everyone who is either kind or curious is both not funny and humble and vice versa.
Ever... | Mary is not happy. | entailment | (![X]:((brave(X)&~curious(X))<=>(creative(X)<~>curious(X))))&
(((~rich(mary)&~happy(mary)))<=>(kind(mary)))&
(((quiet(alice)|~brave(alice)))=>(?[X]:((~strong(X)|~old(X)))))&
(![X]:((kind(X)<~>curious(X))<=>(~funny(X)&humble(X))))&
(![X]:((patient(X)|brave(X))<=>rich(X)))&
(![X]:(patient(X)=>calm(X)))&
((?[X]:(happy(X))... | ~happy(mary) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6482026981068218531211895
% SZS output start Proof for 6482026981068218531211895
7. ? [X0] : happy(X0) => (happy(mary) <~> ~patient(mary)) [input p6]
11. ! [X0] : ((patient(X0) | funny(X0)) => (~curious(X0) & ~patient(X0))) [input p10]
25. happy(mary) [input hypothesis]
35. (happy(mary) <... | 0 |
If susan is not strong or not curious then fred is not quiet or not patient and vice versa.
If john is quiet then lucy is both not rich and not kind and vice versa.
Everyone who is rich is strong.
If someone is not tall or not creative then fred is both funny and not curious.
Everyone who is either calm or not wise is ... | Susan is not curious. | contradiction | (((~strong(susan)|~curious(susan)))<=>((~quiet(fred)|~patient(fred))))&
((quiet(john))<=>((~rich(lucy)&~kind(lucy))))&
(![X]:(rich(X)=>strong(X)))&
((?[X]:((~tall(X)|~creative(X))))=>((funny(fred)&~curious(fred))))&
(![X]:((calm(X)<~>~wise(X))<=>(~creative(X)|humble(X))))&
((?[X]:((calm(X)<~>~creative(X))))<=>((~rich(f... | ~curious(susan) | [
"p0",
"p6",
"p12",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6102746584950419927648374
% SZS output start Proof for 6102746584950419927648374
1. (~curious(susan) | ~strong(susan)) <=> (~patient(fred) | ~quiet(fred)) [input p0]
7. ! [X0] : (~quiet(X0) => ~funny(X0)) [input p6]
13. ! [X0] : ((happy(X0) & ~old(X0)) <=> funny(X0)) [input p12]
15. ! [X0... | 0 |
Everyone who is not tall or humble is either not brave or calm.
Everyone who is not tall or not generous is both not creative and curious.
If someone is kind or quiet then someone is not brave or not wise and vice versa.
If susan is both rich and tall then someone is both strong and happy and vice versa.
Everyone who i... | Fred is not creative. | entailment | (![X]:((~tall(X)|humble(X))=>(~brave(X)<~>calm(X))))&
(![X]:((~tall(X)|~generous(X))=>(~creative(X)&curious(X))))&
((?[X]:((kind(X)|quiet(X))))<=>(?[X]:((~brave(X)|~wise(X)))))&
(((rich(susan)&tall(susan)))<=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((tall(X)&quiet(X))=>(quiet(X)&funny(X))))&
((?[X]:((rich(X)&~quiet(X))))... | ~creative(fred) | [
"p1",
"p4",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6071919855477533154467164
% SZS output start Proof for 6071919855477533154467164
2. ! [X0] : ((~generous(X0) | ~tall(X0)) => (curious(X0) & ~creative(X0))) [input p1]
5. ! [X0] : ((quiet(X0) & tall(X0)) => (funny(X0) & quiet(X0))) [input p4]
8. ! [X0] : (~funny(X0) <=> (funny(X0) | ~stron... | 0 |
If john is not quiet then alice is not patient and vice versa.
Everyone who is both not kind and not generous is happy.
If someone is not funny then lucy is both rich and not creative.
If lucy is not creative or rich then alice is not tall and vice versa.
If someone is both not kind and wise then susan is either creati... | Fred is funny. | neutral | ((~quiet(john))<=>(~patient(alice)))&
(![X]:((~kind(X)&~generous(X))=>happy(X)))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~kind(X)&wise(X))))=>((creative(susan)<~>~kind(susan))))&
(![X]:((kind(X)&funny(X))<=>generous(X)))&
((?[X]:((~tall(X)<~>~wi... | funny(fred) | [] | null | 0 |
If someone is not old then someone is not rich or not strong.
Everyone who is not patient or patient is either not curious or creative.
Everyone who is humble is not rich and vice versa.
If someone is either not generous or not calm then fred is both tall and not kind and vice versa.
Everyone who is both old and not hu... | Paul is not funny. | neutral | ((?[X]:(~old(X)))=>(?[X]:((~rich(X)|~strong(X)))))&
(![X]:((~patient(X)|patient(X))=>(~curious(X)<~>creative(X))))&
(![X]:(humble(X)<=>~rich(X)))&
((?[X]:((~generous(X)<~>~calm(X))))<=>((tall(fred)&~kind(fred))))&
(![X]:((old(X)&~humble(X))<=>(brave(X)<~>~funny(X))))&
(![X]:((calm(X)<~>kind(X))=>tall(X)))&
(![X]:(~brav... | ~funny(paul) | [] | null | 0 |
If lucy is quiet then someone is both quiet and tall and vice versa.
If someone is both not patient and brave then someone is not creative or not funny and vice versa.
Everyone who is either brave or happy is kind.
If paul is both not strong and curious then someone is curious or calm and vice versa.
If someone is happ... | Lucy is kind. | entailment | ((quiet(lucy))<=>(?[X]:((quiet(X)&tall(X)))))&
((?[X]:((~patient(X)&brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((brave(X)<~>happy(X))=>kind(X)))&
(((~strong(paul)&curious(paul)))<=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:(happy(X)))<=>((~tall(susan)<~>funny(susan))))&
((?[X]:(~kind(X)))=>(?[X]:(~rich(X))))&... | kind(lucy) | [
"p2",
"p7",
"p9",
"p10",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 832372130382130315726192
% SZS output start Proof for 832372130382130315726192
3. ! [X0] : ((brave(X0) <~> happy(X0)) => kind(X0)) [input p2]
8. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> creative(X0)) [input p7]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) => (~funny(X0) <~> ~quiet(X0))) [input p9... | 0 |
If someone is not tall then someone is either old or generous. Everyone who is rich or not happy is either not generous or patient. If susan is not curious then someone is not patient or quiet. Everyone who is either not strong or not curious is either not old or not wise and vice versa. Everyone who is creative or cal... | Susan is creative. | neutral | ((?[X]:(~tall(X)))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((rich(X)|~happy(X))=>(~generous(X)<~>patient(X))))&
((~curious(susan))=>(?[X]:((~patient(X)|quiet(X)))))&
(![X]:((~strong(X)<~>~curious(X))<=>(~old(X)<~>~wise(X))))&
(![X]:((creative(X)|calm(X))<=>~brave(X)))&
(![X]:(~patient(X)=>~humble(X)))&
((?[X]:((~old(X... | creative(susan) | [] | null | 0 |
Everyone who is either humble or old is funny or generous and vice versa. Everyone who is either not strong or humble is not tall and vice versa. Everyone who is happy or not creative is both not brave and tall. If someone is tall then mary is either calm or strong. Everyone who is curious is happy and vice versa. Ever... | Mary is not old. | contradiction | (![X]:((humble(X)<~>old(X))<=>(funny(X)|generous(X))))&
(![X]:((~strong(X)<~>humble(X))<=>~tall(X)))&
(![X]:((happy(X)|~creative(X))=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X)))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((kind(X)|old(X))<=>(brave(X)|~qu... | ~old(mary) | [
"p2",
"p5",
"p6",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5185625987282541140140278
% SZS output start Proof for 5185625987282541140140278
3. ! [X0] : ((~creative(X0) | happy(X0)) => (tall(X0) & ~brave(X0))) [input p2]
6. ! [X0] : ((~kind(X0) & brave(X0)) <=> quiet(X0)) [input p5]
7. ! [X0] : ((old(X0) | kind(X0)) <=> (~quiet(X0) | brave(X0))) [... | 0 |
Everyone who is not calm is rich or not kind.
If someone is both not strong and funny then paul is not humble.
Everyone who is either not tall or not humble is both not wise and strong.
Everyone who is not humble or old is tall or not curious and vice versa.
If someone is both not curious and not calm then someone is e... | Alice is happy. | entailment | (![X]:(~calm(X)=>(rich(X)|~kind(X))))&
((?[X]:((~strong(X)&funny(X))))=>(~humble(paul)))&
(![X]:((~tall(X)<~>~humble(X))=>(~wise(X)&strong(X))))&
(![X]:((~humble(X)|old(X))<=>(tall(X)|~curious(X))))&
((?[X]:((~curious(X)&~calm(X))))=>(?[X]:((wise(X)<~>funny(X)))))&
(![X]:(~brave(X)=>~wise(X)))&
(![X]:((quiet(X)&~brave(... | happy(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6446657906676877641448838
% SZS output start Proof for 6446657906676877641448838
14. ! [X0] : (happy(X0) <=> (funny(X0) <~> ~funny(X0))) [input p13]
24. ~happy(alice) [input hypothesis]
27. ! [X0] : ((funny(X0) <~> ~funny(X0)) => happy(X0)) [unused predicate definition removal 14]
36. ! [... | 0 |
If someone is either not rich or tall then someone is either creative or patient.
If susan is both curious and not funny then someone is not patient.
If someone is quiet or not rich then fred is not funny.
Everyone who is not curious is both quiet and not old.
If lucy is curious or not curious then mary is not curious ... | Mary is old. | contradiction | ((?[X]:((~rich(X)<~>tall(X))))=>(?[X]:((creative(X)<~>patient(X)))))&
(((curious(susan)&~funny(susan)))=>(?[X]:(~patient(X))))&
((?[X]:((quiet(X)|~rich(X))))=>(~funny(fred)))&
(![X]:(~curious(X)=>(quiet(X)&~old(X))))&
(((curious(lucy)|~curious(lucy)))<=>(~curious(mary)))&
(((~generous(fred)&~curious(fred)))=>(?[X]:((cu... | old(mary) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5462668852332230715219243
% SZS output start Proof for 5462668852332230715219243
4. ! [X0] : (~curious(X0) => (~old(X0) & quiet(X0))) [input p3]
5. (~curious(lucy) | curious(lucy)) <=> ~curious(mary) [input p4]
25. old(mary) [input hypothesis]
33. ! [X0] : ((~old(X0) & quiet(X0)) | curiou... | 0 |
If someone is not strong then mary is either not curious or not rich.
If someone is either strong or not happy then someone is generous.
Everyone who is humble is quiet or not rich and vice versa.
If someone is not quiet or patient then fred is both humble and not old.
Everyone who is both not humble and not rich is ei... | Susan is old. | contradiction | ((?[X]:(~strong(X)))=>((~curious(mary)<~>~rich(mary))))&
((?[X]:((strong(X)<~>~happy(X))))=>(?[X]:(generous(X))))&
(![X]:(humble(X)<=>(quiet(X)|~rich(X))))&
((?[X]:((~quiet(X)|patient(X))))=>((humble(fred)&~old(fred))))&
(![X]:((~humble(X)&~rich(X))<=>(tall(X)<~>~patient(X))))&
(![X]:((~generous(X)&curious(X))=>generou... | old(susan) | [
"p2",
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1894665115389133768689053
% SZS output start Proof for 1894665115389133768689053
3. ! [X0] : (humble(X0) <=> (~rich(X0) | quiet(X0))) [input p2]
5. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (tall(X0) <~> ~patient(X0))) [input p4]
9. ! [X0] : ((~creative(X0) | old(X0)) => (~tall(X0) & ~gener... | 0 |
Everyone who is both quiet and not happy is either not calm or brave and vice versa.
Everyone who is not kind or generous is not generous and vice versa.
If someone is either tall or not calm then lucy is both not old and not creative.
If alice is both not strong and funny then someone is creative or generous and vice ... | Susan is curious. | neutral | (![X]:((quiet(X)&~happy(X))<=>(~calm(X)<~>brave(X))))&
(![X]:((~kind(X)|generous(X))<=>~generous(X)))&
((?[X]:((tall(X)<~>~calm(X))))=>((~old(lucy)&~creative(lucy))))&
(((~strong(alice)&funny(alice)))<=>(?[X]:((creative(X)|generous(X)))))&
((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((stron... | curious(susan) | [] | null | 0 |
Everyone who is tall is generous or old and vice versa.
Everyone who is creative or old is both not kind and old.
Everyone who is either creative or not creative is not curious or not old.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funn... | Lucy is not funny. | entailment | (![X]:(tall(X)<=>(generous(X)|old(X))))&
(![X]:((creative(X)|old(X))=>(~kind(X)&old(X))))&
(![X]:((creative(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alic... | ~funny(lucy) | [
"p1",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7261626632531838626627188
% SZS output start Proof for 7261626632531838626627188
2. ! [X0] : ((old(X0) | creative(X0)) => (old(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p3]
6. ? [X0] : (calm(X0) | funny(X0)) <=> (creative(alice) <... | 0 |
Everyone who is generous is happy. Everyone who is not quiet or not kind is not rich or quiet and vice versa. Everyone who is generous or tall is patient or creative and vice versa. If someone is both old and quiet then alice is both not old and humble and vice versa. Everyone who is happy is not brave and vice versa. ... | Mary is not happy. | contradiction | (![X]:(generous(X)=>happy(X)))&
(![X]:((~quiet(X)|~kind(X))<=>(~rich(X)|quiet(X))))&
(![X]:((generous(X)|tall(X))<=>(patient(X)|creative(X))))&
((?[X]:((old(X)&quiet(X))))<=>((~old(alice)&humble(alice))))&
(![X]:(happy(X)<=>~brave(X)))&
(((brave(alice)&~kind(alice)))=>((~tall(john)&~strong(john))))&
(![X]:(~funny(X)=>(... | ~happy(mary) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 310477961525628144263343
% SZS output start Proof for 310477961525628144263343
1. ! [X0] : (generous(X0) => happy(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (quiet(X0) | ~rich(X0))) [input p1]
3. ! [X0] : ((tall(X0) | generous(X0)) <=> (creative(X0) | patient(X0))) [input p... | 0 |
If someone is either wise or not generous then fred is rich or not generous and vice versa.
Everyone who is generous is either not old or not humble and vice versa.
If susan is either humble or strong then someone is both not kind and not old.
Everyone who is not tall or old is both wise and kind.
Everyone who is both ... | Paul is humble. | contradiction | ((?[X]:((wise(X)<~>~generous(X))))<=>((rich(fred)|~generous(fred))))&
(![X]:(generous(X)<=>(~old(X)<~>~humble(X))))&
(((humble(susan)<~>strong(susan)))=>(?[X]:((~kind(X)&~old(X)))))&
(![X]:((~tall(X)|old(X))=>(wise(X)&kind(X))))&
(![X]:((~funny(X)&~brave(X))=>(~old(X)<~>old(X))))&
((?[X]:(funny(X)))<=>((~rich(paul)&~ge... | humble(paul) | [
"p5",
"p8",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2019443944466067524281544
% SZS output start Proof for 2019443944466067524281544
6. ? [X0] : funny(X0) <=> (~generous(paul) & ~rich(paul)) [input p5]
9. ! [X0] : (creative(X0) <=> (~generous(X0) | curious(X0))) [input p8]
14. ! [X0] : ((strong(X0) | humble(X0)) => ~creative(X0)) [input p1... | 0 |
Everyone who is either not rich or kind is not funny or not quiet and vice versa.
If paul is both patient and funny then someone is either not humble or patient.
If someone is either not wise or not old then john is either wise or not strong.
If susan is either strong or curious then someone is not happy and vice versa... | Alice is not happy. | entailment | (![X]:((~rich(X)<~>kind(X))<=>(~funny(X)|~quiet(X))))&
(((patient(paul)&funny(paul)))=>(?[X]:((~humble(X)<~>patient(X)))))&
((?[X]:((~wise(X)<~>~old(X))))=>((wise(john)<~>~strong(john))))&
(((strong(susan)<~>curious(susan)))<=>(?[X]:(~happy(X))))&
((?[X]:((creative(X)|~creative(X))))<=>(kind(alice)))&
(![X]:((~generous... | ~happy(alice) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1614350863217011683587805
% SZS output start Proof for 1614350863217011683587805
5. ? [X0] : (~creative(X0) | creative(X0)) <=> kind(alice) [input p4]
12. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~kind(X0) | ~happy(X0))) [input p11]
25. happy(alice) [input hypothesis]
31. ! [X0] : ((~... | 0 |
Everyone who is both not kind and tall is humble.
If someone is not happy or not tall then someone is quiet.
Everyone who is not patient or quiet is either calm or funny and vice versa.
If someone is not patient or not rich then paul is funny or strong.
Everyone who is rich or not kind is wise and vice versa.
If lucy i... | Lucy is not funny. | contradiction | (![X]:((~kind(X)&tall(X))=>humble(X)))&
((?[X]:((~happy(X)|~tall(X))))=>(?[X]:(quiet(X))))&
(![X]:((~patient(X)|quiet(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((~patient(X)|~rich(X))))=>((funny(paul)|strong(paul))))&
(![X]:((rich(X)|~kind(X))<=>wise(X)))&
(((wise(lucy)&happy(lucy)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(!... | ~funny(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3318135127250500364391858
% SZS output start Proof for 3318135127250500364391858
13. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> creative(X0)) [input p12]
25. ~funny(lucy) [input hypothesis]
61. ! [X0] : ((((funny(X0) | ~creative(X0)) & (~funny(X0) | creative(X0))) | ~creative(X0)) & (cre... | 0 |
Everyone who is humble is either not creative or not strong and vice versa. Everyone who is calm or not wise is both kind and tall and vice versa. If susan is either not wise or rich then lucy is calm and vice versa. If someone is both not curious and not strong then lucy is not humble or not old and vice versa. Everyo... | Susan is rich. | neutral | (![X]:(humble(X)<=>(~creative(X)<~>~strong(X))))&
(![X]:((calm(X)|~wise(X))<=>(kind(X)&tall(X))))&
(((~wise(susan)<~>rich(susan)))<=>(calm(lucy)))&
((?[X]:((~curious(X)&~strong(X))))<=>((~humble(lucy)|~old(lucy))))&
(![X]:(quiet(X)<=>(quiet(X)&patient(X))))&
(![X]:((wise(X)&kind(X))=>(~tall(X)|funny(X))))&
((?[X]:((qui... | rich(susan) | [] | null | 0 |
Everyone who is not humble or not brave is either brave or not calm. If someone is kind then someone is either not wise or creative. Everyone who is both generous and not quiet is not patient or not curious and vice versa. If someone is not calm or kind then someone is both rich and strong. If john is both kind and cur... | Alice is brave. | contradiction | (![X]:((~humble(X)|~brave(X))=>(brave(X)<~>~calm(X))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)<~>creative(X)))))&
(![X]:((generous(X)&~quiet(X))<=>(~patient(X)|~curious(X))))&
((?[X]:((~calm(X)|kind(X))))=>(?[X]:((rich(X)&strong(X)))))&
(((kind(john)&curious(john)))=>(happy(alice)))&
((?[X]:((~strong(X)<~>funny(X))))=>((w... | brave(alice) | [
"p2",
"p6",
"p8",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 13539813041313146759736
% SZS output start Proof for 13539813041313146759736
3. ! [X0] : ((~quiet(X0) & generous(X0)) <=> (~curious(X0) | ~patient(X0))) [input p2]
7. (~happy(alice) <~> brave(alice)) <=> ? [X0] : (happy(X0) | ~brave(X0)) [input p6]
9. (quiet(alice) & ~happy(alice)) <=> ? ... | 0 |
Everyone who is both not brave and not old is not old and vice versa.
Everyone who is old or not rich is rich.
If someone is either not quiet or calm then mary is old or not tall and vice versa.
If someone is both not happy and brave then someone is either strong or not quiet.
If someone is both not wise and funny then... | Lucy is not rich. | contradiction | (![X]:((~brave(X)&~old(X))<=>~old(X)))&
(![X]:((old(X)|~rich(X))=>rich(X)))&
((?[X]:((~quiet(X)<~>calm(X))))<=>((old(mary)|~tall(mary))))&
((?[X]:((~happy(X)&brave(X))))=>(?[X]:((strong(X)<~>~quiet(X)))))&
((?[X]:((~wise(X)&funny(X))))<=>(?[X]:(funny(X))))&
(![X]:((~humble(X)<~>calm(X))<=>(tall(X)&~patient(X))))&
(((ge... | ~rich(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3871331722582706494499572
% SZS output start Proof for 3871331722582706494499572
2. ! [X0] : ((~rich(X0) | old(X0)) => rich(X0)) [input p1]
24. ~rich(lucy) [input hypothesis]
28. ! [X0] : (rich(X0) | (rich(X0) & ~old(X0))) [ennf transformation 2]
93. rich(X0) | rich(X0) [cnf transformatio... | 0 |
Everyone who is not wise or brave is either not generous or happy and vice versa. Everyone who is happy is either not brave or brave. If someone is both quiet and not brave then someone is generous or not calm and vice versa. If susan is both wise and not kind then fred is both calm and wise and vice versa. If someone ... | Mary is not patient. | neutral | (![X]:((~wise(X)|brave(X))<=>(~generous(X)<~>happy(X))))&
(![X]:(happy(X)=>(~brave(X)<~>brave(X))))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((generous(X)|~calm(X)))))&
(((wise(susan)&~kind(susan)))<=>((calm(fred)&wise(fred))))&
((?[X]:((strong(X)|~happy(X))))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:(funny(X)<=>(happy(X... | ~patient(mary) | [] | null | 0 |
Everyone who is not funny is brave and vice versa.
If someone is not kind or old then someone is creative.
Everyone who is both kind and not kind is either not brave or curious.
Everyone who is both patient and not happy is either quiet or happy and vice versa.
If fred is either quiet or old then paul is both happy and... | John is not humble. | contradiction | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:((kind(X)&~kind(X))=>(~brave(X)<~>curious(X))))&
(![X]:((patient(X)&~happy(X))<=>(quiet(X)<~>happy(X))))&
(((quiet(fred)<~>old(fred)))<=>((happy(paul)&wise(paul))))&
(![X]:(generous(X)<=>(curious(X)<~>wise(X))))&
((?[X]:((~patient(... | ~humble(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2192755884735010278554824
% SZS output start Proof for 2192755884735010278554824
11. ! [X0] : ((curious(X0) & humble(X0)) <=> (~patient(X0) | ~humble(X0))) [input p10]
24. ~humble(john) [input hypothesis]
53. ! [X0] : (((curious(X0) & humble(X0)) | (patient(X0) & humble(X0))) & ((~patient... | 0 |
If fred is not old or quiet then someone is either not happy or generous. Everyone who is old is both not tall and not funny and vice versa. If fred is both not rich and tall then fred is not wise or patient and vice versa. Everyone who is not funny is brave and vice versa. If someone is either funny or kind then alice... | Lucy is not old. | entailment | (((~old(fred)|quiet(fred)))=>(?[X]:((~happy(X)<~>generous(X)))))&
(![X]:(old(X)<=>(~tall(X)&~funny(X))))&
(((~rich(fred)&tall(fred)))<=>((~wise(fred)|patient(fred))))&
(![X]:(~funny(X)<=>brave(X)))&
((?[X]:((funny(X)<~>kind(X))))=>((quiet(alice)<~>~funny(alice))))&
(![X]:((humble(X)|~curious(X))=>~curious(X)))&
(![X]:(... | ~old(lucy) | [
"p1",
"p3",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2568965607655528800341587
% SZS output start Proof for 2568965607655528800341587
2. ! [X0] : (old(X0) <=> (~funny(X0) & ~tall(X0))) [input p1]
4. ! [X0] : (~funny(X0) <=> brave(X0)) [input p3]
16. ! [X0] : ((~creative(X0) & kind(X0)) <=> (~tall(X0) | patient(X0))) [input p15]
19. ~brave(l... | 0 |
If someone is either creative or not brave then someone is not strong or not brave. Everyone who is old or strong is humble and vice versa. Everyone who is not rich or brave is either generous or quiet. Everyone who is calm or not patient is both happy and old. If someone is not humble or generous then someone is not g... | John is curious. | neutral | ((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((~strong(X)|~brave(X)))))&
(![X]:((old(X)|strong(X))<=>humble(X)))&
(![X]:((~rich(X)|brave(X))=>(generous(X)<~>quiet(X))))&
(![X]:((calm(X)|~patient(X))=>(happy(X)&old(X))))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:(~generous(X))))&
(((creative(paul)|~patient(paul)))<=>(?[... | curious(john) | [] | null | 0 |
Everyone who is both happy and strong is not humble or wise and vice versa.
Everyone who is not strong is either not tall or not wise and vice versa.
If someone is not strong then lucy is either not generous or creative.
If someone is both creative and old then someone is old or not calm and vice versa.
Everyone who is... | Alice is calm. | neutral | (![X]:((happy(X)&strong(X))<=>(~humble(X)|wise(X))))&
(![X]:(~strong(X)<=>(~tall(X)<~>~wise(X))))&
((?[X]:(~strong(X)))=>((~generous(lucy)<~>creative(lucy))))&
((?[X]:((creative(X)&old(X))))<=>(?[X]:((old(X)|~calm(X)))))&
(![X]:((~patient(X)|kind(X))<=>~strong(X)))&
((?[X]:((~kind(X)<~>calm(X))))<=>(?[X]:(rich(X))))&
(... | calm(alice) | [] | null | 0 |
If someone is either generous or not calm then paul is both not creative and not brave.
Everyone who is both not quiet and rich is brave or not brave and vice versa.
Everyone who is not wise or patient is old or not humble and vice versa.
Everyone who is either not happy or not generous is old.
If mary is either not ha... | Alice is rich. | entailment | ((?[X]:((generous(X)<~>~calm(X))))=>((~creative(paul)&~brave(paul))))&
(![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(((~happy(mary)<~>~calm(mary)))=>(~tall(susan)))&
(![X]:((curious(X)|~curious(X))=>generous(X)))&... | rich(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 727209313922805400845166
% SZS output start Proof for 727209313922805400845166
2. ! [X0] : ((rich(X0) & ~quiet(X0)) <=> (~brave(X0) | brave(X0))) [input p1]
23. ~rich(alice) [input hypothesis]
35. ! [X0] : (((rich(X0) & ~quiet(X0)) | (brave(X0) & ~brave(X0))) & ((~brave(X0) | brave(X0)) |... | 0 |
If someone is both not generous and calm then alice is generous or brave.
Everyone who is both wise and not patient is kind or tall and vice versa.
Everyone who is strong or funny is not patient or not quiet.
Everyone who is either funny or not humble is either not generous or not tall.
Everyone who is rich or not old ... | Lucy is wise. | entailment | ((?[X]:((~generous(X)&calm(X))))=>((generous(alice)|brave(alice))))&
(![X]:((wise(X)&~patient(X))<=>(kind(X)|tall(X))))&
(![X]:((strong(X)|funny(X))=>(~patient(X)|~quiet(X))))&
(![X]:((funny(X)<~>~humble(X))=>(~generous(X)<~>~tall(X))))&
(![X]:((rich(X)|~old(X))=>(~happy(X)&tall(X))))&
(![X]:(funny(X)<=>(~kind(X)|quiet... | wise(lucy) | [
"p1",
"p4",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5239523250365937106247308
% SZS output start Proof for 5239523250365937106247308
2. ! [X0] : ((~patient(X0) & wise(X0)) <=> (tall(X0) | kind(X0))) [input p1]
5. ! [X0] : ((~old(X0) | rich(X0)) => (tall(X0) & ~happy(X0))) [input p4]
13. ! [X0] : ((~brave(X0) <~> brave(X0)) => (calm(X0) & ~... | 0 |
If someone is both not tall and kind then fred is either funny or creative and vice versa. Everyone who is both happy and quiet is not calm and vice versa. If susan is quiet or not strong then susan is both not happy and tall and vice versa. Everyone who is not curious is either kind or brave. Everyone who is both not ... | Paul is calm. | entailment | ((?[X]:((~tall(X)&kind(X))))<=>((funny(fred)<~>creative(fred))))&
(![X]:((happy(X)&quiet(X))<=>~calm(X)))&
(((quiet(susan)|~strong(susan)))<=>((~happy(susan)&tall(susan))))&
(![X]:(~curious(X)=>(kind(X)<~>brave(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~creative(X)&humble(X))))&
(![X]:(creative(X)=>kind(X)))&
(![X]:((~wise... | calm(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7666270823144030397859329
% SZS output start Proof for 7666270823144030397859329
9. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> rich(X0)) [input p8]
25. ~calm(paul) [input hypothesis]
49. ! [X0] : ((((~calm(X0) | rich(X0)) & (calm(X0) | ~rich(X0))) | ~rich(X0)) & (rich(X0) | ((~rich(X0) | ~cal... | 0 |
Everyone who is both curious and quiet is both happy and not rich.
Everyone who is not generous is not wise.
If someone is quiet or not quiet then lucy is both not wise and not quiet and vice versa.
If someone is both not kind and kind then john is either brave or old and vice versa.
Everyone who is either not patient ... | Lucy is quiet. | contradiction | (![X]:((curious(X)&quiet(X))=>(happy(X)&~rich(X))))&
(![X]:(~generous(X)=>~wise(X)))&
((?[X]:((quiet(X)|~quiet(X))))<=>((~wise(lucy)&~quiet(lucy))))&
((?[X]:((~kind(X)&kind(X))))<=>((brave(john)<~>old(john))))&
(![X]:((~patient(X)<~>calm(X))<=>~wise(X)))&
((?[X]:(~patient(X)))=>(~old(mary)))&
((?[X]:((~creative(X)|curi... | quiet(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7176597781521645832671764
% SZS output start Proof for 7176597781521645832671764
3. ? [X0] : (~quiet(X0) | quiet(X0)) <=> (~quiet(lucy) & ~wise(lucy)) [input p2]
25. quiet(lucy) [input hypothesis]
38. (? [X0] : (~quiet(X0) | quiet(X0)) | (quiet(lucy) | wise(lucy))) & ((~quiet(lucy) & ~wis... | 0 |
If lucy is both brave and rich then someone is not wise or not humble.
Everyone who is both not kind and wise is both kind and old and vice versa.
Everyone who is not patient or not curious is not patient or strong and vice versa.
Everyone who is either old or happy is not quiet and vice versa.
Everyone who is both not... | Alice is strong. | contradiction | (((brave(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~kind(X)&wise(X))<=>(kind(X)&old(X))))&
(![X]:((~patient(X)|~curious(X))<=>(~patient(X)|strong(X))))&
(![X]:((old(X)<~>happy(X))<=>~quiet(X)))&
(![X]:((~kind(X)&calm(X))<=>strong(X)))&
((?[X]:((~kind(X)&~old(X))))=>(?[X]:((strong(X)&happy(X)))))&
((?... | strong(alice) | [
"p1",
"p3",
"p4",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5171125745431019509992430
% SZS output start Proof for 5171125745431019509992430
2. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (old(X0) & kind(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> happy(X0)) <=> ~quiet(X0)) [input p3]
5. ! [X0] : ((calm(X0) & ~kind(X0)) <=> strong(X0)) [input p4]
12. ! [X... | 0 |
Everyone who is either wise or brave is both brave and not creative and vice versa.
Everyone who is either old or not strong is either not creative or creative and vice versa.
If fred is not brave or curious then someone is not tall or not patient.
Everyone who is kind or not brave is both not funny and not creative.
E... | Mary is not brave. | contradiction | (![X]:((wise(X)<~>brave(X))<=>(brave(X)&~creative(X))))&
(![X]:((old(X)<~>~strong(X))<=>(~creative(X)<~>creative(X))))&
(((~brave(fred)|curious(fred)))=>(?[X]:((~tall(X)|~patient(X)))))&
(![X]:((kind(X)|~brave(X))=>(~funny(X)&~creative(X))))&
(![X]:((happy(X)|curious(X))=>~happy(X)))&
(![X]:((generous(X)|old(X))<=>(~ol... | ~brave(mary) | [
"p0",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5454550639570949320654758
% SZS output start Proof for 5454550639570949320654758
1. ! [X0] : ((wise(X0) <~> brave(X0)) <=> (~creative(X0) & brave(X0))) [input p0]
4. ! [X0] : ((~brave(X0) | kind(X0)) => (~creative(X0) & ~funny(X0))) [input p3]
7. ! [X0] : ((wise(X0) <~> funny(X0)) <=> (pa... | 0 |
If someone is both not curious and strong then someone is either humble or curious and vice versa.
If lucy is not strong then mary is both creative and old and vice versa.
If alice is either not funny or strong then paul is both not tall and wise and vice versa.
Everyone who is funny is either happy or not strong.
If s... | Lucy is calm. | neutral | ((?[X]:((~curious(X)&strong(X))))<=>(?[X]:((humble(X)<~>curious(X)))))&
((~strong(lucy))<=>((creative(mary)&old(mary))))&
(((~funny(alice)<~>strong(alice)))<=>((~tall(paul)&wise(paul))))&
(![X]:(funny(X)=>(happy(X)<~>~strong(X))))&
((?[X]:((funny(X)|happy(X))))=>(kind(fred)))&
(((tall(paul)&happy(paul)))<=>(~quiet(john... | calm(lucy) | [] | null | 0 |
If lucy is generous then someone is both not rich and rich.
If susan is either not calm or not curious then someone is not curious or not kind and vice versa.
Everyone who is both brave and not humble is either creative or old and vice versa.
If mary is both not strong and rich then someone is not calm and vice versa.
... | Mary is not wise. | neutral | ((generous(lucy))=>(?[X]:((~rich(X)&rich(X)))))&
(((~calm(susan)<~>~curious(susan)))<=>(?[X]:((~curious(X)|~kind(X)))))&
(![X]:((brave(X)&~humble(X))<=>(creative(X)<~>old(X))))&
(((~strong(mary)&rich(mary)))<=>(?[X]:(~calm(X))))&
(![X]:(~rich(X)=>(kind(X)<~>~kind(X))))&
(((~rich(susan)<~>curious(susan)))<=>(?[X]:((rich... | ~wise(mary) | [] | null | 0 |
Everyone who is not brave is either not tall or strong and vice versa. If john is kind then paul is both not brave and not patient. Everyone who is wise is not quiet or rich and vice versa. Everyone who is either not funny or patient is both not kind and not tall and vice versa. If someone is old or not calm then someo... | John is patient. | contradiction | (![X]:(~brave(X)<=>(~tall(X)<~>strong(X))))&
((kind(john))=>((~brave(paul)&~patient(paul))))&
(![X]:(wise(X)<=>(~quiet(X)|rich(X))))&
(![X]:((~funny(X)<~>patient(X))<=>(~kind(X)&~tall(X))))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:(~creative(X))))&
(![X]:(~brave(X)<=>happy(X)))&
(![X]:((~kind(X)|~generous(X))<=>(old(X)|~wis... | patient(john) | [
"p0",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3075452680332244351900782
% SZS output start Proof for 3075452680332244351900782
1. ! [X0] : (~brave(X0) <=> (~tall(X0) <~> strong(X0))) [input p0]
6. ! [X0] : (~brave(X0) <=> happy(X0)) [input p5]
11. ! [X0] : ((calm(X0) & ~brave(X0)) <=> (~old(X0) | strong(X0))) [input p10]
12. ! [X0] :... | 0 |
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