TSTP Solution File: GEO636+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 06:01:16 EDT 2022
% Result : Theorem 53.04s 53.21s
% Output : Refutation 53.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 02:13:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 53.04/53.21 # Version: 1.3
% 53.04/53.21 # SZS status Theorem
% 53.04/53.21 # SZS output start CNFRefutation
% 53.04/53.21 fof(exemplo6GDDFULL8110999,conjecture,(![A]:(![B]:(![C]:(![M]:(![N]:(![Q]:(![P]:(((((eqangle(C,A,A,N,M,A,A,B)&perp(Q,M,A,B))&coll(Q,A,B))&perp(P,M,A,C))&coll(P,A,C))=>perp(A,N,P,Q))))))))),input).
% 53.04/53.21 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![M]:(![N]:(![Q]:(![P]:(((((eqangle(C,A,A,N,M,A,A,B)&perp(Q,M,A,B))&coll(Q,A,B))&perp(P,M,A,C))&coll(P,A,C))=>perp(A,N,P,Q)))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL8110999])).
% 53.04/53.21 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[M]:(?[N]:(?[Q]:(?[P]:(((((eqangle(C,A,A,N,M,A,A,B)&perp(Q,M,A,B))&coll(Q,A,B))&perp(P,M,A,C))&coll(P,A,C))&~perp(A,N,P,Q))))))))),inference(fof_nnf,status(thm),[c11])).
% 53.04/53.21 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(((((eqangle(X4,X2,X2,X6,X5,X2,X2,X3)&perp(X7,X5,X2,X3))&coll(X7,X2,X3))&perp(X8,X5,X2,X4))&coll(X8,X2,X4))&~perp(X2,X6,X8,X7))))))))),inference(variable_rename,status(thm),[c12])).
% 53.04/53.21 fof(c14,negated_conjecture,(((((eqangle(skolem0003,skolem0001,skolem0001,skolem0005,skolem0004,skolem0001,skolem0001,skolem0002)&perp(skolem0006,skolem0004,skolem0001,skolem0002))&coll(skolem0006,skolem0001,skolem0002))&perp(skolem0007,skolem0004,skolem0001,skolem0003))&coll(skolem0007,skolem0001,skolem0003))&~perp(skolem0001,skolem0005,skolem0007,skolem0006)),inference(skolemize,status(esa),[c13])).
% 53.04/53.21 cnf(c20,negated_conjecture,~perp(skolem0001,skolem0005,skolem0007,skolem0006),inference(split_conjunct,status(thm),[c14])).
% 53.04/53.21 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 53.04/53.21 fof(c260,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))))))),inference(fof_nnf,status(thm),[ruleD44])).
% 53.04/53.21 fof(c261,axiom,(![X266]:(![X267]:(![X268]:(![X269]:(![X270]:((~midp(X269,X266,X267)|~midp(X270,X266,X268))|para(X269,X270,X267,X268))))))),inference(variable_rename,status(thm),[c260])).
% 53.04/53.21 cnf(c262,axiom,~midp(X1052,X1050,X1049)|~midp(X1048,X1050,X1051)|para(X1052,X1048,X1049,X1051),inference(split_conjunct,status(thm),[c261])).
% 53.04/53.21 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 53.04/53.21 fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 53.04/53.21 fof(c404,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X527,X529,X528))))),inference(variable_rename,status(thm),[c403])).
% 53.04/53.21 cnf(c405,axiom,~coll(X562,X563,X564)|coll(X562,X564,X563),inference(split_conjunct,status(thm),[c404])).
% 53.04/53.21 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 53.04/53.21 fof(c400,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 53.04/53.21 fof(c401,axiom,(![X524]:(![X525]:(![X526]:(~coll(X524,X525,X526)|coll(X525,X524,X526))))),inference(variable_rename,status(thm),[c400])).
% 53.04/53.21 cnf(c402,axiom,~coll(X553,X552,X551)|coll(X552,X553,X551),inference(split_conjunct,status(thm),[c401])).
% 53.04/53.21 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 53.04/53.21 fof(c186,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 53.04/53.21 fof(c187,axiom,(![X163]:(![X164]:(![X165]:(~para(X163,X164,X163,X165)|coll(X163,X164,X165))))),inference(variable_rename,status(thm),[c186])).
% 53.04/53.21 cnf(c188,axiom,~para(X599,X598,X599,X600)|coll(X599,X598,X600),inference(split_conjunct,status(thm),[c187])).
% 53.04/53.21 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 53.04/53.21 fof(c283,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])).
% 53.04/53.21 fof(c284,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),[c283])).
% 53.04/53.21 fof(c286,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(c285,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),[c284])).])).
% 53.04/53.21 cnf(c287,axiom,~eqangle(X1081,X1083,X1082,X1080,X1084,X1079,X1082,X1080)|para(X1081,X1083,X1084,X1079),inference(split_conjunct,status(thm),[c286])).
% 53.04/53.21 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).
% 53.04/53.21 fof(c347,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])).
% 53.04/53.21 fof(c348,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),[c347])).
% 53.04/53.21 cnf(c349,axiom,~eqangle(X1234,X1235,X1229,X1236,X1231,X1232,X1230,X1233)|eqangle(X1229,X1236,X1234,X1235,X1230,X1233,X1231,X1232),inference(split_conjunct,status(thm),[c348])).
% 53.04/53.21 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 53.04/53.21 fof(c278,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])).
% 53.04/53.21 fof(c279,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),[c278])).
% 53.04/53.21 fof(c281,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(c280,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),[c279])).])).
% 53.04/53.21 cnf(c282,axiom,~para(X1075,X1073,X1077,X1072)|eqangle(X1075,X1073,X1076,X1074,X1077,X1072,X1076,X1074),inference(split_conjunct,status(thm),[c281])).
% 53.04/53.21 cnf(c18,negated_conjecture,perp(skolem0007,skolem0004,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c14])).
% 53.04/53.21 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 53.04/53.21 fof(c382,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 53.04/53.21 fof(c383,axiom,(![X498]:(![X499]:(![X500]:(![X501]:(~perp(X498,X499,X500,X501)|perp(X500,X501,X498,X499)))))),inference(variable_rename,status(thm),[c382])).
% 53.04/53.21 cnf(c384,axiom,~perp(X630,X631,X632,X629)|perp(X632,X629,X630,X631),inference(split_conjunct,status(thm),[c383])).
% 53.04/53.21 cnf(c447,plain,perp(skolem0001,skolem0003,skolem0007,skolem0004),inference(resolution,status(thm),[c384, c18])).
% 53.04/53.21 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).
% 53.04/53.21 fof(c379,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])).
% 53.04/53.21 fof(c380,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),[c379])).
% 53.04/53.21 cnf(c381,axiom,~perp(X1273,X1271,X1270,X1272)|~perp(X1270,X1272,X1275,X1274)|para(X1273,X1271,X1275,X1274),inference(split_conjunct,status(thm),[c380])).
% 53.04/53.21 cnf(c1378,plain,~perp(X1579,X1578,skolem0001,skolem0003)|para(X1579,X1578,skolem0007,skolem0004),inference(resolution,status(thm),[c381, c447])).
% 53.04/53.21 cnf(c1879,plain,para(skolem0007,skolem0004,skolem0007,skolem0004),inference(resolution,status(thm),[c1378, c18])).
% 53.04/53.21 cnf(c1897,plain,eqangle(skolem0007,skolem0004,X1765,X1766,skolem0007,skolem0004,X1765,X1766),inference(resolution,status(thm),[c1879, c282])).
% 53.04/53.21 cnf(c2708,plain,eqangle(X2242,X2241,skolem0007,skolem0004,X2242,X2241,skolem0007,skolem0004),inference(resolution,status(thm),[c1897, c349])).
% 53.04/53.21 cnf(c3714,plain,para(X2244,X2243,X2244,X2243),inference(resolution,status(thm),[c2708, c287])).
% 53.04/53.21 cnf(c3748,plain,coll(X2245,X2246,X2246),inference(resolution,status(thm),[c3714, c188])).
% 53.04/53.21 cnf(c3815,plain,coll(X2247,X2248,X2247),inference(resolution,status(thm),[c3748, c402])).
% 53.04/53.21 cnf(c4197,plain,coll(X2254,X2254,X2253),inference(resolution,status(thm),[c3815, c405])).
% 53.04/53.21 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 53.04/53.21 fof(c397,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 53.04/53.21 fof(c398,axiom,(![X520]:(![X521]:(![X522]:(![X523]:((~coll(X520,X521,X522)|~coll(X520,X521,X523))|coll(X522,X523,X520)))))),inference(variable_rename,status(thm),[c397])).
% 53.04/53.21 cnf(c399,axiom,~coll(X722,X723,X725)|~coll(X722,X723,X724)|coll(X725,X724,X722),inference(split_conjunct,status(thm),[c398])).
% 53.04/53.21 cnf(c4230,plain,~coll(X3170,X3170,X3169)|coll(X3169,X3168,X3170),inference(resolution,status(thm),[c4197, c399])).
% 53.04/53.21 cnf(c7507,plain,coll(X3180,X3181,X3179),inference(resolution,status(thm),[c4230, c4197])).
% 53.04/53.21 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 53.04/53.21 fof(c183,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 53.04/53.21 fof(c184,axiom,(![X160]:(![X161]:(![X162]:((~cong(X160,X161,X160,X162)|~coll(X160,X161,X162))|midp(X160,X161,X162))))),inference(variable_rename,status(thm),[c183])).
% 53.04/53.21 cnf(c185,axiom,~cong(X952,X951,X952,X953)|~coll(X952,X951,X953)|midp(X952,X951,X953),inference(split_conjunct,status(thm),[c184])).
% 53.04/53.21 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 53.04/53.21 fof(c335,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 53.04/53.21 fof(c336,axiom,(![X409]:(![X410]:(![X411]:(![X412]:(~cong(X409,X410,X411,X412)|cong(X409,X410,X412,X411)))))),inference(variable_rename,status(thm),[c335])).
% 53.04/53.21 cnf(c337,axiom,~cong(X613,X614,X615,X616)|cong(X613,X614,X616,X615),inference(split_conjunct,status(thm),[c336])).
% 53.04/53.21 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 53.04/53.21 fof(c359,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 53.04/53.21 fof(c360,axiom,(![X466]:(![X467]:(![X468]:(![X469]:(~cyclic(X466,X467,X468,X469)|cyclic(X466,X468,X467,X469)))))),inference(variable_rename,status(thm),[c359])).
% 53.04/53.21 cnf(c361,axiom,~cyclic(X623,X621,X622,X624)|cyclic(X623,X622,X621,X624),inference(split_conjunct,status(thm),[c360])).
% 53.04/53.21 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 53.04/53.21 fof(c356,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 53.04/53.21 fof(c357,axiom,(![X462]:(![X463]:(![X464]:(![X465]:(~cyclic(X462,X463,X464,X465)|cyclic(X463,X462,X464,X465)))))),inference(variable_rename,status(thm),[c356])).
% 53.04/53.21 cnf(c358,axiom,~cyclic(X617,X619,X620,X618)|cyclic(X619,X617,X620,X618),inference(split_conjunct,status(thm),[c357])).
% 53.04/53.21 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 53.04/53.21 fof(c362,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 53.04/53.21 fof(c363,axiom,(![X470]:(![X471]:(![X472]:(![X473]:(~cyclic(X470,X471,X472,X473)|cyclic(X470,X471,X473,X472)))))),inference(variable_rename,status(thm),[c362])).
% 53.04/53.21 cnf(c364,axiom,~cyclic(X628,X626,X625,X627)|cyclic(X628,X626,X627,X625),inference(split_conjunct,status(thm),[c363])).
% 53.04/53.21 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).
% 53.04/53.21 fof(c268,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])).
% 53.04/53.21 fof(c269,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),[c268])).
% 53.04/53.21 cnf(c270,axiom,~eqangle(X1059,X1060,X1059,X1061,X1062,X1060,X1062,X1061)|~coll(X1059,X1062,X1061)|cyclic(X1060,X1061,X1059,X1062),inference(split_conjunct,status(thm),[c269])).
% 53.04/53.21 cnf(c3752,plain,eqangle(X2997,X2994,X2995,X2996,X2997,X2994,X2995,X2996),inference(resolution,status(thm),[c3714, c282])).
% 53.04/53.21 cnf(c7229,plain,~coll(X3491,X3491,X3492)|cyclic(X3490,X3492,X3491,X3491),inference(resolution,status(thm),[c3752, c270])).
% 53.04/53.21 cnf(c7800,plain,cyclic(X3499,X3497,X3498,X3498),inference(resolution,status(thm),[c7229, c7507])).
% 53.04/53.21 cnf(c7805,plain,cyclic(X3503,X3504,X3505,X3504),inference(resolution,status(thm),[c7800, c361])).
% 53.04/53.21 cnf(c7811,plain,cyclic(X3511,X3510,X3510,X3509),inference(resolution,status(thm),[c7805, c364])).
% 53.04/53.21 cnf(c7826,plain,cyclic(X3528,X3526,X3528,X3527),inference(resolution,status(thm),[c7811, c358])).
% 53.04/53.21 cnf(c7849,plain,cyclic(X3546,X3546,X3545,X3544),inference(resolution,status(thm),[c7826, c361])).
% 53.04/53.21 fof(ruleD43,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((cyclic(A,B,C,P)&cyclic(A,B,C,Q))&cyclic(A,B,C,R))&eqangle(C,A,C,B,R,P,R,Q))=>cong(A,B,P,Q)))))))),input).
% 53.04/53.21 fof(c263,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD43])).
% 53.04/53.21 fof(c264,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:((![R]:(((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))))))),inference(shift_quantors,status(thm),[c263])).
% 53.04/53.21 fof(c266,axiom,(![X271]:(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:((((~cyclic(X271,X272,X273,X274)|~cyclic(X271,X272,X273,X275))|~cyclic(X271,X272,X273,X276))|~eqangle(X273,X271,X273,X272,X276,X274,X276,X275))|cong(X271,X272,X274,X275)))))))),inference(shift_quantors,status(thm),[fof(c265,axiom,(![X271]:(![X272]:(![X273]:(![X274]:(![X275]:((![X276]:(((~cyclic(X271,X272,X273,X274)|~cyclic(X271,X272,X273,X275))|~cyclic(X271,X272,X273,X276))|~eqangle(X273,X271,X273,X272,X276,X274,X276,X275)))|cong(X271,X272,X274,X275))))))),inference(variable_rename,status(thm),[c264])).])).
% 53.04/53.21 cnf(c267,axiom,~cyclic(X1053,X1056,X1054,X1058)|~cyclic(X1053,X1056,X1054,X1055)|~cyclic(X1053,X1056,X1054,X1057)|~eqangle(X1054,X1053,X1054,X1056,X1057,X1058,X1057,X1055)|cong(X1053,X1056,X1058,X1055),inference(split_conjunct,status(thm),[c266])).
% 53.04/53.21 fof(ruleD21,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(A,B,P,Q,C,D,U,V)))))))))),input).
% 53.04/53.21 fof(c341,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD21])).
% 53.04/53.21 fof(c342,axiom,(![X425]:(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(~eqangle(X425,X426,X427,X428,X429,X430,X431,X432)|eqangle(X425,X426,X429,X430,X427,X428,X431,X432)))))))))),inference(variable_rename,status(thm),[c341])).
% 53.04/53.21 cnf(c343,axiom,~eqangle(X1218,X1219,X1212,X1213,X1216,X1217,X1214,X1215)|eqangle(X1218,X1219,X1216,X1217,X1212,X1213,X1214,X1215),inference(split_conjunct,status(thm),[c342])).
% 53.04/53.21 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 53.04/53.21 fof(c394,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 53.04/53.21 fof(c395,axiom,(![X516]:(![X517]:(![X518]:(![X519]:(~para(X516,X517,X518,X519)|para(X516,X517,X519,X518)))))),inference(variable_rename,status(thm),[c394])).
% 53.04/53.21 cnf(c396,axiom,~para(X710,X709,X711,X712)|para(X710,X709,X712,X711),inference(split_conjunct,status(thm),[c395])).
% 53.04/53.21 cnf(c3735,plain,para(X2261,X2262,X2262,X2261),inference(resolution,status(thm),[c3714, c396])).
% 53.04/53.21 cnf(c4380,plain,eqangle(X3294,X3297,X3295,X3296,X3297,X3294,X3295,X3296),inference(resolution,status(thm),[c3735, c282])).
% 53.04/53.21 cnf(c7700,plain,eqangle(X3354,X3353,X3355,X3356,X3354,X3353,X3356,X3355),inference(resolution,status(thm),[c4380, c349])).
% 53.04/53.21 cnf(c7738,plain,eqangle(X3403,X3402,X3403,X3402,X3404,X3405,X3405,X3404),inference(resolution,status(thm),[c7700, c343])).
% 53.04/53.21 cnf(c7776,plain,~cyclic(X4483,X4483,X4482,X4481)|cong(X4483,X4483,X4481,X4481),inference(resolution,status(thm),[c7738, c267])).
% 53.04/53.21 cnf(c8370,plain,cong(X4487,X4487,X4488,X4488),inference(resolution,status(thm),[c7776, c7849])).
% 53.04/53.21 cnf(c8385,plain,~coll(X4505,X4505,X4505)|midp(X4505,X4505,X4505),inference(resolution,status(thm),[c8370, c185])).
% 53.04/53.21 cnf(c8387,plain,midp(X4509,X4509,X4509),inference(resolution,status(thm),[c8385, c7507])).
% 53.04/53.21 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 53.04/53.21 fof(c235,axiom,(![A]:(![B]:(![C]:(![M]:((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M)))))),inference(fof_nnf,status(thm),[ruleD52])).
% 53.04/53.22 fof(c236,axiom,(![X231]:(![X232]:(![X233]:(![X234]:((~perp(X231,X232,X232,X233)|~midp(X234,X231,X233))|cong(X231,X234,X232,X234)))))),inference(variable_rename,status(thm),[c235])).
% 53.04/53.22 cnf(c237,axiom,~perp(X1013,X1016,X1016,X1015)|~midp(X1014,X1013,X1015)|cong(X1013,X1014,X1016,X1014),inference(split_conjunct,status(thm),[c236])).
% 53.04/53.22 fof(ruleD74,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)&perp(P,Q,U,V))=>perp(A,B,C,D)))))))))),input).
% 53.04/53.22 fof(c156,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD74])).
% 53.04/53.22 fof(c157,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))))))|perp(A,B,C,D)))))),inference(shift_quantors,status(thm),[c156])).
% 53.04/53.22 fof(c159,axiom,(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:((~eqangle(X124,X125,X126,X127,X128,X129,X130,X131)|~perp(X128,X129,X130,X131))|perp(X124,X125,X126,X127)))))))))),inference(shift_quantors,status(thm),[fof(c158,axiom,(![X124]:(![X125]:(![X126]:(![X127]:((![X128]:(![X129]:(![X130]:(![X131]:(~eqangle(X124,X125,X126,X127,X128,X129,X130,X131)|~perp(X128,X129,X130,X131))))))|perp(X124,X125,X126,X127)))))),inference(variable_rename,status(thm),[c157])).])).
% 53.04/53.22 cnf(c160,axiom,~eqangle(X923,X922,X924,X927,X925,X921,X928,X926)|~perp(X925,X921,X928,X926)|perp(X923,X922,X924,X927),inference(split_conjunct,status(thm),[c159])).
% 53.04/53.22 fof(ruleD18,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(B,A,C,D,P,Q,U,V)))))))))),input).
% 53.04/53.22 fof(c350,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD18])).
% 53.04/53.22 fof(c351,axiom,(![X449]:(![X450]:(![X451]:(![X452]:(![X453]:(![X454]:(![X455]:(![X456]:(~eqangle(X449,X450,X451,X452,X453,X454,X455,X456)|eqangle(X450,X449,X451,X452,X453,X454,X455,X456)))))))))),inference(variable_rename,status(thm),[c350])).
% 53.04/53.22 cnf(c352,axiom,~eqangle(X1239,X1243,X1241,X1244,X1238,X1245,X1240,X1242)|eqangle(X1243,X1239,X1241,X1244,X1238,X1245,X1240,X1242),inference(split_conjunct,status(thm),[c351])).
% 53.04/53.22 cnf(c7728,plain,eqangle(X3395,X3392,X3393,X3394,X3392,X3395,X3394,X3393),inference(resolution,status(thm),[c7700, c352])).
% 53.04/53.22 cnf(c7768,plain,eqangle(X3441,X3442,X3442,X3441,X3443,X3444,X3444,X3443),inference(resolution,status(thm),[c7728, c343])).
% 53.04/53.22 cnf(c7792,plain,~perp(X4542,X4541,X4541,X4542)|perp(X4543,X4540,X4540,X4543),inference(resolution,status(thm),[c7768, c160])).
% 53.04/53.22 fof(ruleD57,axiom,(![A]:(![B]:(![P]:(![Q]:(((cong(A,P,B,P)&cong(A,Q,B,Q))&cyclic(A,B,P,Q))=>perp(P,A,A,Q)))))),input).
% 53.04/53.22 fof(c218,axiom,(![A]:(![B]:(![P]:(![Q]:(((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q)))))),inference(fof_nnf,status(thm),[ruleD57])).
% 53.04/53.22 fof(c219,axiom,(![X211]:(![X212]:(![X213]:(![X214]:(((~cong(X211,X213,X212,X213)|~cong(X211,X214,X212,X214))|~cyclic(X211,X212,X213,X214))|perp(X213,X211,X211,X214)))))),inference(variable_rename,status(thm),[c218])).
% 53.04/53.22 cnf(c220,axiom,~cong(X994,X993,X995,X993)|~cong(X994,X996,X995,X996)|~cyclic(X994,X995,X993,X996)|perp(X993,X994,X994,X996),inference(split_conjunct,status(thm),[c219])).
% 53.04/53.22 cnf(c7808,plain,~cong(X4553,X4554,X4555,X4554)|perp(X4554,X4553,X4553,X4554),inference(resolution,status(thm),[c7800, c220])).
% 53.04/53.22 cnf(c8404,plain,perp(X4556,X4556,X4556,X4556),inference(resolution,status(thm),[c7808, c8370])).
% 53.04/53.22 cnf(c8409,plain,perp(X4559,X4558,X4558,X4559),inference(resolution,status(thm),[c8404, c7792])).
% 53.04/53.22 cnf(c8427,plain,~midp(X4690,X4689,X4689)|cong(X4689,X4690,X4688,X4690),inference(resolution,status(thm),[c8409, c237])).
% 53.04/53.22 cnf(c8730,plain,cong(X4692,X4692,X4691,X4692),inference(resolution,status(thm),[c8427, c8387])).
% 53.04/53.22 cnf(c8739,plain,cong(X4694,X4694,X4694,X4693),inference(resolution,status(thm),[c8730, c337])).
% 53.04/53.22 cnf(c8751,plain,~coll(X4766,X4766,X4767)|midp(X4766,X4766,X4767),inference(resolution,status(thm),[c8739, c185])).
% 53.04/53.22 cnf(c8871,plain,midp(X4769,X4769,X4768),inference(resolution,status(thm),[c8751, c7507])).
% 53.04/53.22 cnf(c8891,plain,~midp(X5805,X5804,X5803)|para(X5805,X5804,X5803,X5802),inference(resolution,status(thm),[c8871, c262])).
% 53.04/53.22 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 53.04/53.22 fof(c332,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 53.04/53.22 fof(c333,axiom,(![X405]:(![X406]:(![X407]:(![X408]:(~cong(X405,X406,X407,X408)|cong(X407,X408,X405,X406)))))),inference(variable_rename,status(thm),[c332])).
% 53.04/53.22 cnf(c334,axiom,~cong(X604,X603,X602,X601)|cong(X602,X601,X604,X603),inference(split_conjunct,status(thm),[c333])).
% 53.04/53.22 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 53.04/53.22 fof(c373,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 53.04/53.22 fof(c374,axiom,(![X483]:(![X484]:(![X485]:(~midp(X485,X484,X483)|midp(X485,X483,X484))))),inference(variable_rename,status(thm),[c373])).
% 53.04/53.22 cnf(c375,axiom,~midp(X550,X549,X548)|midp(X550,X548,X549),inference(split_conjunct,status(thm),[c374])).
% 53.04/53.22 cnf(c8880,plain,midp(X4770,X4771,X4770),inference(resolution,status(thm),[c8871, c375])).
% 53.04/53.22 cnf(c10117,plain,para(X5809,X5811,X5809,X5810),inference(resolution,status(thm),[c8891, c8880])).
% 53.04/53.22 fof(ruleD64,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((midp(M,A,B)¶(A,C,B,D))¶(A,D,B,C))=>midp(M,C,D))))))),input).
% 53.04/53.22 fof(c192,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))))))),inference(fof_nnf,status(thm),[ruleD64])).
% 53.04/53.22 fof(c193,axiom,(![X171]:(![X172]:(![X173]:(![X174]:(![X175]:(((~midp(X175,X171,X172)|~para(X171,X173,X172,X174))|~para(X171,X174,X172,X173))|midp(X175,X173,X174))))))),inference(variable_rename,status(thm),[c192])).
% 53.04/53.22 cnf(c194,axiom,~midp(X961,X963,X959)|~para(X963,X960,X959,X962)|~para(X963,X962,X959,X960)|midp(X961,X960,X962),inference(split_conjunct,status(thm),[c193])).
% 53.04/53.22 cnf(c3739,plain,~midp(X10687,X10688,X10688)|~para(X10688,X10689,X10688,X10689)|midp(X10687,X10689,X10689),inference(resolution,status(thm),[c3714, c194])).
% 53.04/53.22 cnf(c17614,plain,~midp(X10740,X10738,X10738)|midp(X10740,X10739,X10739),inference(resolution,status(thm),[c3739, c10117])).
% 53.04/53.22 cnf(c17634,plain,midp(X10742,X10741,X10741),inference(resolution,status(thm),[c17614, c8871])).
% 53.04/53.22 cnf(c17720,plain,cong(X10761,X10759,X10760,X10759),inference(resolution,status(thm),[c17634, c8427])).
% 53.04/53.22 cnf(c17754,plain,cong(X10773,X10775,X10775,X10774),inference(resolution,status(thm),[c17720, c337])).
% 53.04/53.22 cnf(c17777,plain,cong(X10791,X10792,X10790,X10791),inference(resolution,status(thm),[c17754, c334])).
% 53.04/53.22 cnf(c17786,plain,cong(X10795,X10793,X10795,X10794),inference(resolution,status(thm),[c17777, c337])).
% 53.04/53.22 cnf(c17795,plain,~coll(X10858,X10860,X10859)|midp(X10858,X10860,X10859),inference(resolution,status(thm),[c17786, c185])).
% 53.04/53.22 cnf(c17840,plain,midp(X10862,X10863,X10861),inference(resolution,status(thm),[c17795, c7507])).
% 53.04/53.22 cnf(c17844,plain,para(X10866,X10864,X10867,X10865),inference(resolution,status(thm),[c17840, c8891])).
% 53.04/53.22 fof(ruleD10,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)&perp(C,D,E,F))=>perp(A,B,E,F)))))))),input).
% 53.04/53.22 fof(c376,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD10])).
% 53.04/53.22 fof(c377,axiom,(![X486]:(![X487]:(![X488]:(![X489]:(![X490]:(![X491]:((~para(X486,X487,X488,X489)|~perp(X488,X489,X490,X491))|perp(X486,X487,X490,X491)))))))),inference(variable_rename,status(thm),[c376])).
% 53.04/53.22 cnf(c378,axiom,~para(X1266,X1267,X1268,X1265)|~perp(X1268,X1265,X1264,X1269)|perp(X1266,X1267,X1264,X1269),inference(split_conjunct,status(thm),[c377])).
% 53.04/53.22 cnf(c8461,plain,~para(X17326,X17328,X17329,X17327)|perp(X17326,X17328,X17327,X17329),inference(resolution,status(thm),[c8409, c378])).
% 53.04/53.22 cnf(c21692,plain,perp(X17333,X17330,X17332,X17331),inference(resolution,status(thm),[c8461, c17844])).
% 53.04/53.22 cnf(c21693,plain,$false,inference(resolution,status(thm),[c21692, c20])).
% 53.04/53.22 # SZS output end CNFRefutation
% 53.04/53.22
% 53.04/53.22 # Initial clauses : 133
% 53.04/53.22 # Processed clauses : 2540
% 53.04/53.22 # Factors computed : 0
% 53.04/53.22 # Resolvents computed: 21289
% 53.04/53.22 # Tautologies deleted: 22
% 53.04/53.22 # Forward subsumed : 10176
% 53.04/53.22 # Backward subsumed : 2408
% 53.04/53.22 # -------- CPU Time ---------
% 53.04/53.22 # User time : 52.819 s
% 53.04/53.22 # System time : 0.036 s
% 53.04/53.22 # Total time : 52.855 s
%------------------------------------------------------------------------------