TSTP Solution File: GEO601+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO601+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:01:07 EDT 2022
% Result : Theorem 4.63s 4.85s
% Output : Refutation 4.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO601+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 16:06:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 4.63/4.85 # Version: 1.3
% 4.63/4.85 # SZS status Theorem
% 4.63/4.85 # SZS output start CNFRefutation
% 4.63/4.85 fof(exemplo6GDDFULL618063f,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:((((coll(D,B,C)&circle(E,A,D,C))&circle(F,A,D,B))&circle(G,B,A,C))=>cyclic(A,F,G,E))))))))),input).
% 4.63/4.85 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:((((coll(D,B,C)&circle(E,A,D,C))&circle(F,A,D,B))&circle(G,B,A,C))=>cyclic(A,F,G,E)))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL618063f])).
% 4.63/4.85 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:((((coll(D,B,C)&circle(E,A,D,C))&circle(F,A,D,B))&circle(G,B,A,C))&~cyclic(A,F,G,E))))))))),inference(fof_nnf,status(thm),[c11])).
% 4.63/4.85 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:((((coll(X5,X3,X4)&circle(X6,X2,X5,X4))&circle(X7,X2,X5,X3))&circle(X8,X3,X2,X4))&~cyclic(X2,X7,X8,X6))))))))),inference(variable_rename,status(thm),[c12])).
% 4.63/4.85 fof(c14,negated_conjecture,((((coll(skolem0004,skolem0002,skolem0003)&circle(skolem0005,skolem0001,skolem0004,skolem0003))&circle(skolem0006,skolem0001,skolem0004,skolem0002))&circle(skolem0007,skolem0002,skolem0001,skolem0003))&~cyclic(skolem0001,skolem0006,skolem0007,skolem0005)),inference(skolemize,status(esa),[c13])).
% 4.63/4.85 cnf(c19,negated_conjecture,~cyclic(skolem0001,skolem0006,skolem0007,skolem0005),inference(split_conjunct,status(thm),[c14])).
% 4.63/4.85 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 4.63/4.85 fof(c355,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 4.63/4.85 fof(c356,axiom,(![X462]:(![X463]:(![X464]:(![X465]:(~cyclic(X462,X463,X464,X465)|cyclic(X463,X462,X464,X465)))))),inference(variable_rename,status(thm),[c355])).
% 4.63/4.85 cnf(c357,axiom,~cyclic(X595,X594,X596,X593)|cyclic(X594,X595,X596,X593),inference(split_conjunct,status(thm),[c356])).
% 4.63/4.85 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 4.63/4.85 fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 4.63/4.85 fof(c362,axiom,(![X470]:(![X471]:(![X472]:(![X473]:(~cyclic(X470,X471,X472,X473)|cyclic(X470,X471,X473,X472)))))),inference(variable_rename,status(thm),[c361])).
% 4.63/4.85 cnf(c363,axiom,~cyclic(X609,X611,X612,X610)|cyclic(X609,X611,X610,X612),inference(split_conjunct,status(thm),[c362])).
% 4.63/4.85 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 4.63/4.85 fof(c358,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 4.63/4.85 fof(c359,axiom,(![X466]:(![X467]:(![X468]:(![X469]:(~cyclic(X466,X467,X468,X469)|cyclic(X466,X468,X467,X469)))))),inference(variable_rename,status(thm),[c358])).
% 4.63/4.85 cnf(c360,axiom,~cyclic(X605,X607,X606,X608)|cyclic(X605,X606,X607,X608),inference(split_conjunct,status(thm),[c359])).
% 4.63/4.85 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 4.63/4.85 fof(c402,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 4.63/4.85 fof(c403,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X527,X529,X528))))),inference(variable_rename,status(thm),[c402])).
% 4.63/4.85 cnf(c404,axiom,~coll(X556,X555,X554)|coll(X556,X554,X555),inference(split_conjunct,status(thm),[c403])).
% 4.63/4.85 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 4.63/4.85 fof(c399,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 4.63/4.85 fof(c400,axiom,(![X524]:(![X525]:(![X526]:(~coll(X524,X525,X526)|coll(X525,X524,X526))))),inference(variable_rename,status(thm),[c399])).
% 4.63/4.85 cnf(c401,axiom,~coll(X551,X552,X553)|coll(X552,X551,X553),inference(split_conjunct,status(thm),[c400])).
% 4.63/4.85 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 4.63/4.85 fof(c185,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 4.63/4.85 fof(c186,axiom,(![X163]:(![X164]:(![X165]:(~para(X163,X164,X163,X165)|coll(X163,X164,X165))))),inference(variable_rename,status(thm),[c185])).
% 4.63/4.85 cnf(c187,axiom,~para(X582,X583,X582,X584)|coll(X582,X583,X584),inference(split_conjunct,status(thm),[c186])).
% 4.63/4.85 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 4.63/4.85 fof(c282,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D)))))))),inference(fof_nnf,status(thm),[ruleD39])).
% 4.63/4.85 fof(c283,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:~eqangle(A,B,P,Q,C,D,P,Q)))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c282])).
% 4.63/4.85 fof(c285,axiom,(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(![X300]:(~eqangle(X295,X296,X299,X300,X297,X298,X299,X300)|para(X295,X296,X297,X298)))))))),inference(shift_quantors,status(thm),[fof(c284,axiom,(![X295]:(![X296]:(![X297]:(![X298]:((![X299]:(![X300]:~eqangle(X295,X296,X299,X300,X297,X298,X299,X300)))|para(X295,X296,X297,X298)))))),inference(variable_rename,status(thm),[c283])).])).
% 4.63/4.85 cnf(c286,axiom,~eqangle(X900,X901,X897,X896,X899,X898,X897,X896)|para(X900,X901,X899,X898),inference(split_conjunct,status(thm),[c285])).
% 4.63/4.85 fof(ruleD19,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(C,D,A,B,U,V,P,Q)))))))))),input).
% 4.63/4.85 fof(c346,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q)))))))))),inference(fof_nnf,status(thm),[ruleD19])).
% 4.63/4.85 fof(c347,axiom,(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(~eqangle(X441,X442,X443,X444,X445,X446,X447,X448)|eqangle(X443,X444,X441,X442,X447,X448,X445,X446)))))))))),inference(variable_rename,status(thm),[c346])).
% 4.63/4.85 cnf(c348,axiom,~eqangle(X1133,X1135,X1140,X1134,X1136,X1137,X1138,X1139)|eqangle(X1140,X1134,X1133,X1135,X1138,X1139,X1136,X1137),inference(split_conjunct,status(thm),[c347])).
% 4.63/4.85 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 4.63/4.85 fof(c277,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD40])).
% 4.63/4.85 fof(c278,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|(![P]:(![Q]:eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(shift_quantors,status(thm),[c277])).
% 4.63/4.85 fof(c280,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(![X293]:(![X294]:(~para(X289,X290,X291,X292)|eqangle(X289,X290,X293,X294,X291,X292,X293,X294)))))))),inference(shift_quantors,status(thm),[fof(c279,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(~para(X289,X290,X291,X292)|(![X293]:(![X294]:eqangle(X289,X290,X293,X294,X291,X292,X293,X294)))))))),inference(variable_rename,status(thm),[c278])).])).
% 4.63/4.85 cnf(c281,axiom,~para(X890,X891,X893,X895)|eqangle(X890,X891,X894,X892,X893,X895,X894,X892),inference(split_conjunct,status(thm),[c280])).
% 4.63/4.85 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 4.63/4.85 fof(c381,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 4.63/4.85 fof(c382,axiom,(![X498]:(![X499]:(![X500]:(![X501]:(~perp(X498,X499,X500,X501)|perp(X500,X501,X498,X499)))))),inference(variable_rename,status(thm),[c381])).
% 4.63/4.85 cnf(c383,axiom,~perp(X614,X613,X616,X615)|perp(X616,X615,X614,X613),inference(split_conjunct,status(thm),[c382])).
% 4.63/4.85 cnf(c17,negated_conjecture,circle(skolem0006,skolem0001,skolem0004,skolem0002),inference(split_conjunct,status(thm),[c14])).
% 4.63/4.85 fof(ruleX11,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(circle(O,A,B,C)=>perp(P,A,A,O))))))),input).
% 4.63/4.85 fof(c68,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(~circle(O,A,B,C)|perp(P,A,A,O))))))),inference(fof_nnf,status(thm),[ruleX11])).
% 4.63/4.85 fof(c69,axiom,(![A]:(![B]:(![C]:(![O]:(~circle(O,A,B,C)|(?[P]:perp(P,A,A,O))))))),inference(shift_quantors,status(thm),[c68])).
% 4.63/4.85 fof(c70,axiom,(![X51]:(![X52]:(![X53]:(![X54]:(~circle(X54,X51,X52,X53)|(?[X55]:perp(X55,X51,X51,X54))))))),inference(variable_rename,status(thm),[c69])).
% 4.63/4.85 fof(c71,axiom,(![X51]:(![X52]:(![X53]:(![X54]:(~circle(X54,X51,X52,X53)|perp(skolem0016(X51,X52,X53,X54),X51,X51,X54)))))),inference(skolemize,status(esa),[c70])).
% 4.63/4.85 cnf(c72,axiom,~circle(X793,X791,X792,X794)|perp(skolem0016(X791,X792,X794,X793),X791,X791,X793),inference(split_conjunct,status(thm),[c71])).
% 4.63/4.85 cnf(c551,plain,perp(skolem0016(skolem0001,skolem0004,skolem0002,skolem0006),skolem0001,skolem0001,skolem0006),inference(resolution,status(thm),[c72, c17])).
% 4.63/4.85 cnf(c642,plain,perp(skolem0001,skolem0006,skolem0016(skolem0001,skolem0004,skolem0002,skolem0006),skolem0001),inference(resolution,status(thm),[c551, c383])).
% 4.63/4.85 fof(ruleD9,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((perp(A,B,C,D)&perp(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 4.63/4.85 fof(c378,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD9])).
% 4.63/4.85 fof(c379,axiom,(![X492]:(![X493]:(![X494]:(![X495]:(![X496]:(![X497]:((~perp(X492,X493,X494,X495)|~perp(X494,X495,X496,X497))|para(X492,X493,X496,X497)))))))),inference(variable_rename,status(thm),[c378])).
% 4.63/4.85 cnf(c380,axiom,~perp(X1012,X1007,X1011,X1010)|~perp(X1011,X1010,X1009,X1008)|para(X1012,X1007,X1009,X1008),inference(split_conjunct,status(thm),[c379])).
% 4.63/4.85 cnf(c632,plain,~perp(X1471,X1472,skolem0016(skolem0001,skolem0004,skolem0002,skolem0006),skolem0001)|para(X1471,X1472,skolem0001,skolem0006),inference(resolution,status(thm),[c551, c380])).
% 4.63/4.85 cnf(c1034,plain,para(skolem0001,skolem0006,skolem0001,skolem0006),inference(resolution,status(thm),[c632, c642])).
% 4.63/4.85 cnf(c1047,plain,eqangle(skolem0001,skolem0006,X1494,X1493,skolem0001,skolem0006,X1494,X1493),inference(resolution,status(thm),[c1034, c281])).
% 4.63/4.85 cnf(c1139,plain,eqangle(X1531,X1532,skolem0001,skolem0006,X1531,X1532,skolem0001,skolem0006),inference(resolution,status(thm),[c1047, c348])).
% 4.63/4.85 cnf(c1253,plain,para(X1537,X1538,X1537,X1538),inference(resolution,status(thm),[c1139, c286])).
% 4.63/4.85 cnf(c1271,plain,coll(X1540,X1539,X1539),inference(resolution,status(thm),[c1253, c187])).
% 4.63/4.85 cnf(c1286,plain,coll(X1543,X1544,X1543),inference(resolution,status(thm),[c1271, c401])).
% 4.63/4.85 cnf(c1312,plain,coll(X1546,X1546,X1545),inference(resolution,status(thm),[c1286, c404])).
% 4.63/4.85 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 4.63/4.85 fof(c396,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 4.63/4.85 fof(c397,axiom,(![X520]:(![X521]:(![X522]:(![X523]:((~coll(X520,X521,X522)|~coll(X520,X521,X523))|coll(X522,X523,X520)))))),inference(variable_rename,status(thm),[c396])).
% 4.63/4.85 cnf(c398,axiom,~coll(X643,X645,X644)|~coll(X643,X645,X646)|coll(X644,X646,X643),inference(split_conjunct,status(thm),[c397])).
% 4.63/4.85 cnf(c1372,plain,~coll(X1732,X1732,X1733)|coll(X1733,X1734,X1732),inference(resolution,status(thm),[c1312, c398])).
% 4.63/4.85 cnf(c1779,plain,coll(X1736,X1735,X1737),inference(resolution,status(thm),[c1372, c1312])).
% 4.63/4.85 fof(ruleD42b,axiom,(![A]:(![B]:(![P]:(![Q]:((eqangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B))=>cyclic(A,B,P,Q)))))),input).
% 4.63/4.85 fof(c267,axiom,(![A]:(![B]:(![P]:(![Q]:((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q)))))),inference(fof_nnf,status(thm),[ruleD42b])).
% 4.63/4.85 fof(c268,axiom,(![X277]:(![X278]:(![X279]:(![X280]:((~eqangle(X279,X277,X279,X278,X280,X277,X280,X278)|~coll(X279,X280,X278))|cyclic(X277,X278,X279,X280)))))),inference(variable_rename,status(thm),[c267])).
% 4.63/4.85 cnf(c269,axiom,~eqangle(X1309,X1311,X1309,X1312,X1310,X1311,X1310,X1312)|~coll(X1309,X1310,X1312)|cyclic(X1311,X1312,X1309,X1310),inference(split_conjunct,status(thm),[c268])).
% 4.63/4.85 cnf(c1274,plain,eqangle(X1688,X1686,X1687,X1685,X1688,X1686,X1687,X1685),inference(resolution,status(thm),[c1253, c281])).
% 4.63/4.85 cnf(c1718,plain,~coll(X1936,X1936,X1938)|cyclic(X1937,X1938,X1936,X1936),inference(resolution,status(thm),[c1274, c269])).
% 4.63/4.85 cnf(c2173,plain,cyclic(X1939,X1941,X1940,X1940),inference(resolution,status(thm),[c1718, c1779])).
% 4.63/4.85 cnf(c2177,plain,cyclic(X1948,X1947,X1949,X1947),inference(resolution,status(thm),[c2173, c360])).
% 4.63/4.85 cnf(c2182,plain,cyclic(X1955,X1953,X1953,X1954),inference(resolution,status(thm),[c2177, c363])).
% 4.63/4.85 cnf(c2197,plain,cyclic(X1970,X1972,X1970,X1971),inference(resolution,status(thm),[c2182, c357])).
% 4.63/4.85 fof(ruleD17,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((cyclic(A,B,C,D)&cyclic(A,B,C,E))=>cyclic(B,C,D,E))))))),input).
% 4.63/4.85 fof(c352,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))))))),inference(fof_nnf,status(thm),[ruleD17])).
% 4.63/4.85 fof(c353,axiom,(![X457]:(![X458]:(![X459]:(![X460]:(![X461]:((~cyclic(X457,X458,X459,X460)|~cyclic(X457,X458,X459,X461))|cyclic(X458,X459,X460,X461))))))),inference(variable_rename,status(thm),[c352])).
% 4.63/4.85 cnf(c354,axiom,~cyclic(X991,X989,X992,X988)|~cyclic(X991,X989,X992,X990)|cyclic(X989,X992,X988,X990),inference(split_conjunct,status(thm),[c353])).
% 4.63/4.85 cnf(c2207,plain,~cyclic(X5472,X5471,X5472,X5473)|cyclic(X5471,X5472,X5473,X5470),inference(resolution,status(thm),[c2197, c354])).
% 4.63/4.85 cnf(c5793,plain,cyclic(X5481,X5482,X5483,X5480),inference(resolution,status(thm),[c2207, c2197])).
% 4.63/4.85 cnf(c5800,plain,$false,inference(resolution,status(thm),[c5793, c19])).
% 4.63/4.85 # SZS output end CNFRefutation
% 4.63/4.85
% 4.63/4.85 # Initial clauses : 132
% 4.63/4.85 # Processed clauses : 861
% 4.63/4.85 # Factors computed : 0
% 4.63/4.85 # Resolvents computed: 5401
% 4.63/4.85 # Tautologies deleted: 7
% 4.63/4.85 # Forward subsumed : 1598
% 4.63/4.85 # Backward subsumed : 357
% 4.63/4.85 # -------- CPU Time ---------
% 4.63/4.85 # User time : 4.484 s
% 4.63/4.85 # System time : 0.027 s
% 4.63/4.85 # Total time : 4.511 s
%------------------------------------------------------------------------------