TSTP Solution File: GEO569+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n009.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 06:00:58 EDT 2022

% Result   : Theorem 109.99s 110.26s
% Output   : Refutation 109.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 16:47:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 109.99/110.26  # Version:  1.3
% 109.99/110.26  # SZS status Theorem
% 109.99/110.26  # SZS output start CNFRefutation
% 109.99/110.26  fof(exemplo6GDDFULL214031,conjecture,(![A]:(![B]:(![C]:(![O]:(![C1]:(![B1]:(![P]:(![Q]:(((((((circle(O,A,B,C)&midp(C1,B,A))&midp(B1,C,A))&coll(P,O,C1))&coll(P,A,C))&coll(Q,O,B1))&coll(Q,A,B))=>cyclic(Q,B,C,P)))))))))),input).
% 109.99/110.26  fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![C1]:(![B1]:(![P]:(![Q]:(((((((circle(O,A,B,C)&midp(C1,B,A))&midp(B1,C,A))&coll(P,O,C1))&coll(P,A,C))&coll(Q,O,B1))&coll(Q,A,B))=>cyclic(Q,B,C,P))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL214031])).
% 109.99/110.26  fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[C1]:(?[B1]:(?[P]:(?[Q]:(((((((circle(O,A,B,C)&midp(C1,B,A))&midp(B1,C,A))&coll(P,O,C1))&coll(P,A,C))&coll(Q,O,B1))&coll(Q,A,B))&~cyclic(Q,B,C,P)))))))))),inference(fof_nnf,status(thm),[c11])).
% 109.99/110.26  fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:(((((((circle(X5,X2,X3,X4)&midp(X6,X3,X2))&midp(X7,X4,X2))&coll(X8,X5,X6))&coll(X8,X2,X4))&coll(X9,X5,X7))&coll(X9,X2,X3))&~cyclic(X9,X3,X4,X8)))))))))),inference(variable_rename,status(thm),[c12])).
% 109.99/110.26  fof(c14,negated_conjecture,(((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&midp(skolem0005,skolem0002,skolem0001))&midp(skolem0006,skolem0003,skolem0001))&coll(skolem0007,skolem0004,skolem0005))&coll(skolem0007,skolem0001,skolem0003))&coll(skolem0008,skolem0004,skolem0006))&coll(skolem0008,skolem0001,skolem0002))&~cyclic(skolem0008,skolem0002,skolem0003,skolem0007)),inference(skolemize,status(esa),[c13])).
% 109.99/110.26  cnf(c22,negated_conjecture,~cyclic(skolem0008,skolem0002,skolem0003,skolem0007),inference(split_conjunct,status(thm),[c14])).
% 109.99/110.26  fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 109.99/110.26  fof(c364,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 109.99/110.26  fof(c365,axiom,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X472,X474,X473)))))),inference(variable_rename,status(thm),[c364])).
% 109.99/110.26  cnf(c366,axiom,~cyclic(X758,X759,X756,X757)|cyclic(X758,X759,X757,X756),inference(split_conjunct,status(thm),[c365])).
% 109.99/110.26  fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 109.99/110.26  fof(c358,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 109.99/110.26  fof(c359,axiom,(![X463]:(![X464]:(![X465]:(![X466]:(~cyclic(X463,X464,X465,X466)|cyclic(X464,X463,X465,X466)))))),inference(variable_rename,status(thm),[c358])).
% 109.99/110.26  cnf(c360,axiom,~cyclic(X749,X748,X750,X751)|cyclic(X748,X749,X750,X751),inference(split_conjunct,status(thm),[c359])).
% 109.99/110.26  fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 109.99/110.26  fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 109.99/110.26  fof(c362,axiom,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,status(thm),[c361])).
% 109.99/110.26  cnf(c363,axiom,~cyclic(X752,X754,X755,X753)|cyclic(X752,X755,X754,X753),inference(split_conjunct,status(thm),[c362])).
% 109.99/110.26  fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 109.99/110.26  fof(c405,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 109.99/110.26  fof(c406,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c405])).
% 109.99/110.26  cnf(c407,axiom,~coll(X594,X593,X595)|coll(X594,X595,X593),inference(split_conjunct,status(thm),[c406])).
% 109.99/110.26  fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 109.99/110.26  fof(c402,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 109.99/110.26  fof(c403,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c402])).
% 109.99/110.26  cnf(c404,axiom,~coll(X570,X569,X568)|coll(X569,X570,X568),inference(split_conjunct,status(thm),[c403])).
% 109.99/110.26  fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 109.99/110.26  fof(c188,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 109.99/110.26  fof(c189,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c188])).
% 109.99/110.26  cnf(c190,axiom,~para(X700,X701,X700,X702)|coll(X700,X701,X702),inference(split_conjunct,status(thm),[c189])).
% 109.99/110.26  fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 109.99/110.26  fof(c285,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])).
% 109.99/110.26  fof(c286,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),[c285])).
% 109.99/110.26  fof(c288,axiom,(![X296]:(![X297]:(![X298]:(![X299]:(![X300]:(![X301]:(~eqangle(X296,X297,X300,X301,X298,X299,X300,X301)|para(X296,X297,X298,X299)))))))),inference(shift_quantors,status(thm),[fof(c287,axiom,(![X296]:(![X297]:(![X298]:(![X299]:((![X300]:(![X301]:~eqangle(X296,X297,X300,X301,X298,X299,X300,X301)))|para(X296,X297,X298,X299)))))),inference(variable_rename,status(thm),[c286])).])).
% 109.99/110.26  cnf(c289,axiom,~eqangle(X1079,X1077,X1078,X1076,X1081,X1080,X1078,X1076)|para(X1079,X1077,X1081,X1080),inference(split_conjunct,status(thm),[c288])).
% 109.99/110.26  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).
% 109.99/110.26  fof(c349,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])).
% 109.99/110.26  fof(c350,axiom,(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(~eqangle(X442,X443,X444,X445,X446,X447,X448,X449)|eqangle(X444,X445,X442,X443,X448,X449,X446,X447)))))))))),inference(variable_rename,status(thm),[c349])).
% 109.99/110.26  cnf(c351,axiom,~eqangle(X1231,X1228,X1225,X1230,X1224,X1227,X1229,X1226)|eqangle(X1225,X1230,X1231,X1228,X1229,X1226,X1224,X1227),inference(split_conjunct,status(thm),[c350])).
% 109.99/110.26  fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 109.99/110.26  fof(c280,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])).
% 109.99/110.26  fof(c281,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),[c280])).
% 109.99/110.26  fof(c283,axiom,(![X290]:(![X291]:(![X292]:(![X293]:(![X294]:(![X295]:(~para(X290,X291,X292,X293)|eqangle(X290,X291,X294,X295,X292,X293,X294,X295)))))))),inference(shift_quantors,status(thm),[fof(c282,axiom,(![X290]:(![X291]:(![X292]:(![X293]:(~para(X290,X291,X292,X293)|(![X294]:(![X295]:eqangle(X290,X291,X294,X295,X292,X293,X294,X295)))))))),inference(variable_rename,status(thm),[c281])).])).
% 109.99/110.26  cnf(c284,axiom,~para(X1074,X1071,X1075,X1070)|eqangle(X1074,X1071,X1072,X1073,X1075,X1070,X1072,X1073),inference(split_conjunct,status(thm),[c283])).
% 109.99/110.26  fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 109.99/110.26  fof(c396,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 109.99/110.26  fof(c397,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c396])).
% 109.99/110.26  cnf(c398,axiom,~para(X776,X777,X779,X778)|para(X776,X777,X778,X779),inference(split_conjunct,status(thm),[c397])).
% 109.99/110.26  cnf(c16,negated_conjecture,midp(skolem0005,skolem0002,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 109.99/110.26  fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 109.99/110.26  fof(c375,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 109.99/110.26  fof(c376,axiom,(![X484]:(![X485]:(![X486]:(~midp(X486,X485,X484)|midp(X486,X484,X485))))),inference(variable_rename,status(thm),[c375])).
% 109.99/110.26  cnf(c377,axiom,~midp(X558,X559,X557)|midp(X558,X557,X559),inference(split_conjunct,status(thm),[c376])).
% 109.99/110.26  cnf(c419,plain,midp(skolem0005,skolem0001,skolem0002),inference(resolution,status(thm),[c377, c16])).
% 109.99/110.26  fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 109.99/110.26  fof(c197,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))))))),inference(fof_nnf,status(thm),[ruleD63])).
% 109.99/110.26  fof(c198,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c197])).
% 109.99/110.26  fof(c200,axiom,(![X177]:(![X178]:(![X179]:(![X180]:(![X181]:((~midp(X181,X177,X178)|~midp(X181,X179,X180))|para(X177,X179,X178,X180))))))),inference(shift_quantors,status(thm),[fof(c199,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c198])).])).
% 109.99/110.26  cnf(c201,axiom,~midp(X959,X960,X957)|~midp(X959,X958,X956)|para(X960,X958,X957,X956),inference(split_conjunct,status(thm),[c200])).
% 109.99/110.26  cnf(c1017,plain,~midp(skolem0005,X2147,X2148)|para(X2147,skolem0001,X2148,skolem0002),inference(resolution,status(thm),[c201, c419])).
% 109.99/110.26  cnf(c4674,plain,para(skolem0002,skolem0001,skolem0001,skolem0002),inference(resolution,status(thm),[c1017, c16])).
% 109.99/110.26  cnf(c4695,plain,para(skolem0002,skolem0001,skolem0002,skolem0001),inference(resolution,status(thm),[c4674, c398])).
% 109.99/110.26  cnf(c4735,plain,eqangle(skolem0002,skolem0001,X5030,X5031,skolem0002,skolem0001,X5030,X5031),inference(resolution,status(thm),[c4695, c284])).
% 109.99/110.26  cnf(c11666,plain,eqangle(X5350,X5351,skolem0002,skolem0001,X5350,X5351,skolem0002,skolem0001),inference(resolution,status(thm),[c4735, c351])).
% 109.99/110.26  cnf(c12394,plain,para(X5353,X5352,X5353,X5352),inference(resolution,status(thm),[c11666, c289])).
% 109.99/110.26  cnf(c12405,plain,coll(X5355,X5354,X5354),inference(resolution,status(thm),[c12394, c190])).
% 109.99/110.26  cnf(c12419,plain,coll(X5357,X5356,X5357),inference(resolution,status(thm),[c12405, c404])).
% 109.99/110.26  cnf(c13177,plain,coll(X5366,X5366,X5365),inference(resolution,status(thm),[c12419, c407])).
% 109.99/110.26  fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 109.99/110.26  fof(c399,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 109.99/110.26  fof(c400,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c399])).
% 109.99/110.26  cnf(c401,axiom,~coll(X787,X788,X786)|~coll(X787,X788,X789)|coll(X786,X789,X787),inference(split_conjunct,status(thm),[c400])).
% 109.99/110.26  cnf(c13947,plain,~coll(X7697,X7697,X7699)|coll(X7699,X7698,X7697),inference(resolution,status(thm),[c13177, c401])).
% 109.99/110.26  cnf(c25215,plain,coll(X7708,X7709,X7707),inference(resolution,status(thm),[c13947, c13177])).
% 109.99/110.26  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).
% 109.99/110.26  fof(c270,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])).
% 109.99/110.26  fof(c271,axiom,(![X278]:(![X279]:(![X280]:(![X281]:((~eqangle(X280,X278,X280,X279,X281,X278,X281,X279)|~coll(X280,X281,X279))|cyclic(X278,X279,X280,X281)))))),inference(variable_rename,status(thm),[c270])).
% 109.99/110.26  cnf(c272,axiom,~eqangle(X1059,X1060,X1059,X1057,X1058,X1060,X1058,X1057)|~coll(X1059,X1058,X1057)|cyclic(X1060,X1057,X1059,X1058),inference(split_conjunct,status(thm),[c271])).
% 109.99/110.26  cnf(c12404,plain,eqangle(X7407,X7409,X7406,X7408,X7407,X7409,X7406,X7408),inference(resolution,status(thm),[c12394, c284])).
% 109.99/110.26  cnf(c24861,plain,~coll(X8063,X8063,X8065)|cyclic(X8064,X8065,X8063,X8063),inference(resolution,status(thm),[c12404, c272])).
% 109.99/110.26  cnf(c25787,plain,cyclic(X8066,X8067,X8068,X8068),inference(resolution,status(thm),[c24861, c25215])).
% 109.99/110.26  cnf(c25790,plain,cyclic(X8073,X8072,X8074,X8072),inference(resolution,status(thm),[c25787, c363])).
% 109.99/110.26  cnf(c25797,plain,cyclic(X8082,X8083,X8081,X8082),inference(resolution,status(thm),[c25790, c360])).
% 109.99/110.26  cnf(c25807,plain,cyclic(X8099,X8100,X8099,X8101),inference(resolution,status(thm),[c25797, c366])).
% 109.99/110.26  fof(ruleD17,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((cyclic(A,B,C,D)&cyclic(A,B,C,E))=>cyclic(B,C,D,E))))))),input).
% 109.99/110.26  fof(c355,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])).
% 109.99/110.26  fof(c356,axiom,(![X458]:(![X459]:(![X460]:(![X461]:(![X462]:((~cyclic(X458,X459,X460,X461)|~cyclic(X458,X459,X460,X462))|cyclic(X459,X460,X461,X462))))))),inference(variable_rename,status(thm),[c355])).
% 109.99/110.26  cnf(c357,axiom,~cyclic(X1241,X1243,X1242,X1245)|~cyclic(X1241,X1243,X1242,X1244)|cyclic(X1243,X1242,X1245,X1244),inference(split_conjunct,status(thm),[c356])).
% 109.99/110.26  cnf(c25824,plain,~cyclic(X12638,X12640,X12638,X12641)|cyclic(X12640,X12638,X12641,X12639),inference(resolution,status(thm),[c25807, c357])).
% 109.99/110.26  cnf(c32892,plain,cyclic(X12642,X12644,X12643,X12645),inference(resolution,status(thm),[c25824, c25807])).
% 109.99/110.26  cnf(c32907,plain,$false,inference(resolution,status(thm),[c32892, c22])).
% 109.99/110.26  # SZS output end CNFRefutation
% 109.99/110.26  
% 109.99/110.26  # Initial clauses    : 135
% 109.99/110.26  # Processed clauses  : 3904
% 109.99/110.26  # Factors computed   : 0
% 109.99/110.26  # Resolvents computed: 32510
% 109.99/110.26  # Tautologies deleted: 16
% 109.99/110.26  # Forward subsumed   : 9841
% 109.99/110.26  # Backward subsumed  : 2092
% 109.99/110.26  # -------- CPU Time ---------
% 109.99/110.26  # User time          : 109.840 s
% 109.99/110.26  # System time        : 0.052 s
% 109.99/110.26  # Total time         : 109.892 s
%------------------------------------------------------------------------------