TSTP Solution File: GEO657+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO657+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 06:01:22 EDT 2022
% Result : Theorem 70.21s 70.47s
% Output : Refutation 70.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO657+1 : TPTP v8.1.0. Released v7.5.0.
% 0.05/0.10 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 01:26:01 EDT 2022
% 0.09/0.29 % CPUTime :
% 70.21/70.47 # Version: 1.3
% 70.21/70.47 # SZS status Theorem
% 70.21/70.47 # SZS output start CNFRefutation
% 70.21/70.47 fof(exemplo6GDDFULLmoreE02315,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(((((coll(E,A,C)¶(A,B,G,E))¶(A,D,F,E))&coll(F,C,D))&coll(G,B,C))=>para(B,D,G,F))))))))),input).
% 70.21/70.47 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(((((coll(E,A,C)¶(A,B,G,E))¶(A,D,F,E))&coll(F,C,D))&coll(G,B,C))=>para(B,D,G,F)))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULLmoreE02315])).
% 70.21/70.47 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(((((coll(E,A,C)¶(A,B,G,E))¶(A,D,F,E))&coll(F,C,D))&coll(G,B,C))&~para(B,D,G,F))))))))),inference(fof_nnf,status(thm),[c11])).
% 70.21/70.47 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(((((coll(X6,X2,X4)¶(X2,X3,X8,X6))¶(X2,X5,X7,X6))&coll(X7,X4,X5))&coll(X8,X3,X4))&~para(X3,X5,X8,X7))))))))),inference(variable_rename,status(thm),[c12])).
% 70.21/70.47 fof(c14,negated_conjecture,(((((coll(skolem0005,skolem0001,skolem0003)¶(skolem0001,skolem0002,skolem0007,skolem0005))¶(skolem0001,skolem0004,skolem0006,skolem0005))&coll(skolem0006,skolem0003,skolem0004))&coll(skolem0007,skolem0002,skolem0003))&~para(skolem0002,skolem0004,skolem0007,skolem0006)),inference(skolemize,status(esa),[c13])).
% 70.21/70.47 cnf(c20,negated_conjecture,~para(skolem0002,skolem0004,skolem0007,skolem0006),inference(split_conjunct,status(thm),[c14])).
% 70.21/70.47 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 70.21/70.47 fof(c195,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])).
% 70.21/70.47 fof(c196,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c195])).
% 70.21/70.47 fof(c198,axiom,(![X176]:(![X177]:(![X178]:(![X179]:(![X180]:((~midp(X180,X176,X177)|~midp(X180,X178,X179))|para(X176,X178,X177,X179))))))),inference(shift_quantors,status(thm),[fof(c197,axiom,(![X176]:(![X177]:(![X178]:(![X179]:((![X180]:(~midp(X180,X176,X177)|~midp(X180,X178,X179)))|para(X176,X178,X177,X179)))))),inference(variable_rename,status(thm),[c196])).])).
% 70.21/70.47 cnf(c199,axiom,~midp(X964,X968,X966)|~midp(X964,X967,X965)|para(X968,X967,X966,X965),inference(split_conjunct,status(thm),[c198])).
% 70.21/70.47 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 70.21/70.47 fof(c373,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 70.21/70.47 fof(c374,axiom,(![X483]:(![X484]:(![X485]:(~midp(X485,X484,X483)|midp(X485,X483,X484))))),inference(variable_rename,status(thm),[c373])).
% 70.21/70.47 cnf(c375,axiom,~midp(X550,X548,X549)|midp(X550,X549,X548),inference(split_conjunct,status(thm),[c374])).
% 70.21/70.47 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 70.21/70.47 fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 70.21/70.47 fof(c404,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X527,X529,X528))))),inference(variable_rename,status(thm),[c403])).
% 70.21/70.47 cnf(c405,axiom,~coll(X563,X564,X562)|coll(X563,X562,X564),inference(split_conjunct,status(thm),[c404])).
% 70.21/70.47 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 70.21/70.47 fof(c400,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 70.21/70.47 fof(c401,axiom,(![X524]:(![X525]:(![X526]:(~coll(X524,X525,X526)|coll(X525,X524,X526))))),inference(variable_rename,status(thm),[c400])).
% 70.21/70.47 cnf(c402,axiom,~coll(X553,X552,X551)|coll(X552,X553,X551),inference(split_conjunct,status(thm),[c401])).
% 70.21/70.47 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 70.21/70.47 fof(c186,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 70.21/70.47 fof(c187,axiom,(![X163]:(![X164]:(![X165]:(~para(X163,X164,X163,X165)|coll(X163,X164,X165))))),inference(variable_rename,status(thm),[c186])).
% 70.21/70.47 cnf(c188,axiom,~para(X640,X639,X640,X638)|coll(X640,X639,X638),inference(split_conjunct,status(thm),[c187])).
% 70.21/70.47 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 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])).])).
% 70.21/70.47 cnf(c287,axiom,~eqangle(X1077,X1080,X1078,X1081,X1079,X1082,X1078,X1081)|para(X1077,X1080,X1079,X1082),inference(split_conjunct,status(thm),[c286])).
% 70.21/70.47 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).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 cnf(c349,axiom,~eqangle(X1220,X1222,X1215,X1218,X1216,X1217,X1221,X1219)|eqangle(X1215,X1218,X1220,X1222,X1221,X1219,X1216,X1217),inference(split_conjunct,status(thm),[c348])).
% 70.21/70.47 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 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])).])).
% 70.21/70.47 cnf(c282,axiom,~para(X1075,X1071,X1076,X1074)|eqangle(X1075,X1071,X1072,X1073,X1076,X1074,X1072,X1073),inference(split_conjunct,status(thm),[c281])).
% 70.21/70.47 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 70.21/70.47 fof(c391,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 70.21/70.47 fof(c392,axiom,(![X512]:(![X513]:(![X514]:(![X515]:(~para(X512,X513,X514,X515)|para(X514,X515,X512,X513)))))),inference(variable_rename,status(thm),[c391])).
% 70.21/70.47 cnf(c393,axiom,~para(X682,X684,X681,X683)|para(X681,X683,X682,X684),inference(split_conjunct,status(thm),[c392])).
% 70.21/70.47 cnf(c17,negated_conjecture,para(skolem0001,skolem0004,skolem0006,skolem0005),inference(split_conjunct,status(thm),[c14])).
% 70.21/70.47 cnf(c465,plain,para(skolem0006,skolem0005,skolem0001,skolem0004),inference(resolution,status(thm),[c393, c17])).
% 70.21/70.47 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 70.21/70.47 fof(c394,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 70.21/70.47 fof(c395,axiom,(![X516]:(![X517]:(![X518]:(![X519]:(~para(X516,X517,X518,X519)|para(X516,X517,X519,X518)))))),inference(variable_rename,status(thm),[c394])).
% 70.21/70.47 cnf(c396,axiom,~para(X697,X698,X699,X700)|para(X697,X698,X700,X699),inference(split_conjunct,status(thm),[c395])).
% 70.21/70.47 cnf(c473,plain,para(skolem0006,skolem0005,skolem0004,skolem0001),inference(resolution,status(thm),[c396, c465])).
% 70.21/70.47 cnf(c492,plain,para(skolem0004,skolem0001,skolem0006,skolem0005),inference(resolution,status(thm),[c473, c393])).
% 70.21/70.47 fof(ruleD6,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)¶(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 70.21/70.47 fof(c388,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD6])).
% 70.21/70.47 fof(c389,axiom,(![X506]:(![X507]:(![X508]:(![X509]:(![X510]:(![X511]:((~para(X506,X507,X508,X509)|~para(X508,X509,X510,X511))|para(X506,X507,X510,X511)))))))),inference(variable_rename,status(thm),[c388])).
% 70.21/70.47 cnf(c390,axiom,~para(X1258,X1259,X1257,X1261)|~para(X1257,X1261,X1262,X1260)|para(X1258,X1259,X1262,X1260),inference(split_conjunct,status(thm),[c389])).
% 70.21/70.47 cnf(c1632,plain,~para(X3070,X3069,skolem0006,skolem0005)|para(X3070,X3069,skolem0004,skolem0001),inference(resolution,status(thm),[c390, c473])).
% 70.21/70.47 cnf(c6501,plain,para(skolem0004,skolem0001,skolem0004,skolem0001),inference(resolution,status(thm),[c1632, c492])).
% 70.21/70.47 cnf(c6504,plain,eqangle(skolem0004,skolem0001,X3558,X3559,skolem0004,skolem0001,X3558,X3559),inference(resolution,status(thm),[c6501, c282])).
% 70.21/70.47 cnf(c7959,plain,eqangle(X3888,X3889,skolem0004,skolem0001,X3888,X3889,skolem0004,skolem0001),inference(resolution,status(thm),[c6504, c349])).
% 70.21/70.47 cnf(c8757,plain,para(X3891,X3890,X3891,X3890),inference(resolution,status(thm),[c7959, c287])).
% 70.21/70.47 cnf(c8805,plain,coll(X3893,X3894,X3894),inference(resolution,status(thm),[c8757, c188])).
% 70.21/70.47 cnf(c9177,plain,coll(X3897,X3898,X3897),inference(resolution,status(thm),[c8805, c402])).
% 70.21/70.47 cnf(c9316,plain,coll(X3899,X3899,X3900),inference(resolution,status(thm),[c9177, c405])).
% 70.21/70.47 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 cnf(c399,axiom,~coll(X738,X737,X736)|~coll(X738,X737,X735)|coll(X736,X735,X738),inference(split_conjunct,status(thm),[c398])).
% 70.21/70.47 cnf(c10052,plain,~coll(X5182,X5182,X5183)|coll(X5183,X5184,X5182),inference(resolution,status(thm),[c9316, c399])).
% 70.21/70.47 cnf(c17815,plain,coll(X5189,X5190,X5188),inference(resolution,status(thm),[c10052, c9316])).
% 70.21/70.47 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 cnf(c185,axiom,~cong(X951,X950,X951,X949)|~coll(X951,X950,X949)|midp(X951,X950,X949),inference(split_conjunct,status(thm),[c184])).
% 70.21/70.47 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 70.21/70.47 fof(c335,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 70.21/70.47 fof(c336,axiom,(![X409]:(![X410]:(![X411]:(![X412]:(~cong(X409,X410,X411,X412)|cong(X409,X410,X412,X411)))))),inference(variable_rename,status(thm),[c335])).
% 70.21/70.47 cnf(c337,axiom,~cong(X645,X648,X646,X647)|cong(X645,X648,X647,X646),inference(split_conjunct,status(thm),[c336])).
% 70.21/70.47 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 70.21/70.47 fof(c359,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 70.21/70.47 fof(c360,axiom,(![X466]:(![X467]:(![X468]:(![X469]:(~cyclic(X466,X467,X468,X469)|cyclic(X466,X468,X467,X469)))))),inference(variable_rename,status(thm),[c359])).
% 70.21/70.47 cnf(c361,axiom,~cyclic(X665,X666,X668,X667)|cyclic(X665,X668,X666,X667),inference(split_conjunct,status(thm),[c360])).
% 70.21/70.47 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).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 cnf(c270,axiom,~eqangle(X1062,X1059,X1062,X1060,X1061,X1059,X1061,X1060)|~coll(X1062,X1061,X1060)|cyclic(X1059,X1060,X1062,X1061),inference(split_conjunct,status(thm),[c269])).
% 70.21/70.47 cnf(c8774,plain,eqangle(X5027,X5024,X5026,X5025,X5027,X5024,X5026,X5025),inference(resolution,status(thm),[c8757, c282])).
% 70.21/70.47 cnf(c17665,plain,~coll(X5497,X5497,X5495)|cyclic(X5496,X5495,X5497,X5497),inference(resolution,status(thm),[c8774, c270])).
% 70.21/70.47 cnf(c18323,plain,cyclic(X5500,X5499,X5498,X5498),inference(resolution,status(thm),[c17665, c17815])).
% 70.21/70.47 cnf(c18327,plain,cyclic(X5509,X5507,X5508,X5507),inference(resolution,status(thm),[c18323, c361])).
% 70.21/70.47 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).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 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])).])).
% 70.21/70.47 cnf(c267,axiom,~cyclic(X1057,X1053,X1056,X1055)|~cyclic(X1057,X1053,X1056,X1058)|~cyclic(X1057,X1053,X1056,X1054)|~eqangle(X1056,X1057,X1056,X1053,X1054,X1055,X1054,X1058)|cong(X1057,X1053,X1055,X1058),inference(split_conjunct,status(thm),[c266])).
% 70.21/70.47 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).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 cnf(c343,axiom,~eqangle(X1203,X1199,X1202,X1200,X1204,X1206,X1205,X1201)|eqangle(X1203,X1199,X1204,X1206,X1202,X1200,X1205,X1201),inference(split_conjunct,status(thm),[c342])).
% 70.21/70.47 cnf(c8797,plain,para(X3911,X3912,X3912,X3911),inference(resolution,status(thm),[c8757, c396])).
% 70.21/70.47 cnf(c10198,plain,eqangle(X5323,X5326,X5325,X5324,X5326,X5323,X5325,X5324),inference(resolution,status(thm),[c8797, c282])).
% 70.21/70.47 cnf(c18231,plain,eqangle(X5368,X5369,X5366,X5367,X5368,X5369,X5367,X5366),inference(resolution,status(thm),[c10198, c349])).
% 70.21/70.47 cnf(c18263,plain,eqangle(X5411,X5410,X5411,X5410,X5409,X5408,X5408,X5409),inference(resolution,status(thm),[c18231, c343])).
% 70.21/70.47 cnf(c18290,plain,~cyclic(X6449,X6449,X6447,X6448)|cong(X6449,X6449,X6448,X6448),inference(resolution,status(thm),[c18263, c267])).
% 70.21/70.47 cnf(c18847,plain,cong(X6450,X6450,X6450,X6450),inference(resolution,status(thm),[c18290, c18327])).
% 70.21/70.47 cnf(c18855,plain,~coll(X6473,X6473,X6473)|midp(X6473,X6473,X6473),inference(resolution,status(thm),[c18847, c185])).
% 70.21/70.47 cnf(c18876,plain,midp(X6477,X6477,X6477),inference(resolution,status(thm),[c18855, c17815])).
% 70.21/70.47 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 70.21/70.47 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])).
% 70.21/70.47 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])).
% 70.21/70.47 cnf(c237,axiom,~perp(X1016,X1013,X1013,X1015)|~midp(X1014,X1016,X1015)|cong(X1016,X1014,X1013,X1014),inference(split_conjunct,status(thm),[c236])).
% 70.21/70.47 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).
% 70.21/70.48 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])).
% 70.21/70.48 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])).
% 70.21/70.48 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])).])).
% 70.21/70.48 cnf(c160,axiom,~eqangle(X914,X920,X921,X916,X917,X918,X919,X915)|~perp(X917,X918,X919,X915)|perp(X914,X920,X921,X916),inference(split_conjunct,status(thm),[c159])).
% 70.21/70.48 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).
% 70.21/70.48 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])).
% 70.21/70.48 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])).
% 70.21/70.48 cnf(c352,axiom,~eqangle(X1225,X1224,X1227,X1228,X1226,X1230,X1229,X1223)|eqangle(X1224,X1225,X1227,X1228,X1226,X1230,X1229,X1223),inference(split_conjunct,status(thm),[c351])).
% 70.21/70.48 cnf(c18293,plain,eqangle(X5455,X5454,X5454,X5455,X5453,X5456,X5456,X5453),inference(resolution,status(thm),[c18263, c352])).
% 70.21/70.48 cnf(c18321,plain,~perp(X6543,X6545,X6545,X6543)|perp(X6542,X6544,X6544,X6542),inference(resolution,status(thm),[c18293, c160])).
% 70.21/70.48 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 70.21/70.48 fof(c356,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 70.21/70.48 fof(c357,axiom,(![X462]:(![X463]:(![X464]:(![X465]:(~cyclic(X462,X463,X464,X465)|cyclic(X463,X462,X464,X465)))))),inference(variable_rename,status(thm),[c356])).
% 70.21/70.48 cnf(c358,axiom,~cyclic(X650,X652,X651,X649)|cyclic(X652,X650,X651,X649),inference(split_conjunct,status(thm),[c357])).
% 70.21/70.48 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 70.21/70.48 fof(c362,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 70.21/70.48 fof(c363,axiom,(![X470]:(![X471]:(![X472]:(![X473]:(~cyclic(X470,X471,X472,X473)|cyclic(X470,X471,X473,X472)))))),inference(variable_rename,status(thm),[c362])).
% 70.21/70.48 cnf(c364,axiom,~cyclic(X672,X671,X670,X669)|cyclic(X672,X671,X669,X670),inference(split_conjunct,status(thm),[c363])).
% 70.21/70.48 cnf(c18332,plain,cyclic(X5513,X5515,X5515,X5514),inference(resolution,status(thm),[c18327, c364])).
% 70.21/70.48 cnf(c18344,plain,cyclic(X5532,X5533,X5532,X5531),inference(resolution,status(thm),[c18332, c358])).
% 70.21/70.48 cnf(c18359,plain,cyclic(X5551,X5551,X5549,X5550),inference(resolution,status(thm),[c18344, c361])).
% 70.21/70.48 cnf(c18848,plain,cong(X6454,X6454,X6455,X6455),inference(resolution,status(thm),[c18290, c18359])).
% 70.21/70.48 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).
% 70.21/70.48 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])).
% 70.21/70.48 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])).
% 70.21/70.48 cnf(c220,axiom,~cong(X996,X994,X995,X994)|~cong(X996,X993,X995,X993)|~cyclic(X996,X995,X994,X993)|perp(X994,X996,X996,X993),inference(split_conjunct,status(thm),[c219])).
% 70.21/70.48 cnf(c18331,plain,~cong(X6552,X6550,X6551,X6550)|perp(X6550,X6552,X6552,X6550),inference(resolution,status(thm),[c18323, c220])).
% 70.21/70.48 cnf(c18915,plain,perp(X6556,X6556,X6556,X6556),inference(resolution,status(thm),[c18331, c18848])).
% 70.21/70.48 cnf(c18922,plain,perp(X6563,X6562,X6562,X6563),inference(resolution,status(thm),[c18915, c18321])).
% 70.21/70.48 cnf(c18974,plain,~midp(X6616,X6618,X6618)|cong(X6618,X6616,X6617,X6616),inference(resolution,status(thm),[c18922, c237])).
% 70.21/70.48 cnf(c18980,plain,cong(X6619,X6619,X6620,X6619),inference(resolution,status(thm),[c18974, c18876])).
% 70.21/70.48 cnf(c18988,plain,cong(X6627,X6627,X6627,X6626),inference(resolution,status(thm),[c18980, c337])).
% 70.21/70.48 cnf(c19005,plain,~coll(X6650,X6650,X6651)|midp(X6650,X6650,X6651),inference(resolution,status(thm),[c18988, c185])).
% 70.21/70.48 cnf(c19025,plain,midp(X6652,X6652,X6653),inference(resolution,status(thm),[c19005, c17815])).
% 70.21/70.48 cnf(c19061,plain,midp(X6655,X6654,X6655),inference(resolution,status(thm),[c19025, c375])).
% 70.21/70.48 cnf(c19115,plain,~midp(X9712,X9713,X9714)|para(X9713,X9711,X9714,X9712),inference(resolution,status(thm),[c19061, c199])).
% 70.21/70.48 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 70.21/70.48 fof(c332,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 70.21/70.48 fof(c333,axiom,(![X405]:(![X406]:(![X407]:(![X408]:(~cong(X405,X406,X407,X408)|cong(X407,X408,X405,X406)))))),inference(variable_rename,status(thm),[c332])).
% 70.21/70.48 cnf(c334,axiom,~cong(X643,X642,X641,X644)|cong(X641,X644,X643,X642),inference(split_conjunct,status(thm),[c333])).
% 70.21/70.48 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 70.21/70.48 fof(c224,axiom,(![A]:(![B]:(![M]:(![O]:((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B)))))),inference(fof_nnf,status(thm),[ruleD55])).
% 70.21/70.48 fof(c225,axiom,(![X219]:(![X220]:(![X221]:(![X222]:((~midp(X221,X219,X220)|~perp(X222,X221,X219,X220))|cong(X222,X219,X222,X220)))))),inference(variable_rename,status(thm),[c224])).
% 70.21/70.48 cnf(c226,axiom,~midp(X1004,X1002,X1003)|~perp(X1001,X1004,X1002,X1003)|cong(X1001,X1002,X1001,X1003),inference(split_conjunct,status(thm),[c225])).
% 70.21/70.48 fof(ruleD73,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V))=>para(A,B,C,D)))))))))),input).
% 70.21/70.48 fof(c161,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD73])).
% 70.21/70.48 fof(c162,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))))))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c161])).
% 70.21/70.48 fof(c164,axiom,(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:(![X138]:(![X139]:((~eqangle(X132,X133,X134,X135,X136,X137,X138,X139)|~para(X136,X137,X138,X139))|para(X132,X133,X134,X135)))))))))),inference(shift_quantors,status(thm),[fof(c163,axiom,(![X132]:(![X133]:(![X134]:(![X135]:((![X136]:(![X137]:(![X138]:(![X139]:(~eqangle(X132,X133,X134,X135,X136,X137,X138,X139)|~para(X136,X137,X138,X139))))))|para(X132,X133,X134,X135)))))),inference(variable_rename,status(thm),[c162])).])).
% 70.21/70.48 cnf(c165,axiom,~eqangle(X927,X924,X925,X926,X923,X929,X928,X922)|~para(X923,X929,X928,X922)|para(X927,X924,X925,X926),inference(split_conjunct,status(thm),[c164])).
% 70.21/70.48 cnf(c18265,plain,eqangle(X5416,X5414,X5417,X5415,X5414,X5416,X5415,X5417),inference(resolution,status(thm),[c18231, c352])).
% 70.21/70.48 cnf(c18297,plain,~para(X6506,X6505,X6504,X6503)|para(X6505,X6506,X6503,X6504),inference(resolution,status(thm),[c18265, c165])).
% 70.21/70.48 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 70.21/70.48 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])).
% 70.21/70.48 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])).
% 70.21/70.48 cnf(c262,axiom,~midp(X1050,X1052,X1051)|~midp(X1048,X1052,X1049)|para(X1050,X1048,X1051,X1049),inference(split_conjunct,status(thm),[c261])).
% 70.21/70.48 cnf(c19028,plain,~midp(X7627,X7624,X7626)|para(X7627,X7624,X7626,X7625),inference(resolution,status(thm),[c19025, c262])).
% 70.21/70.48 cnf(c20374,plain,para(X7628,X7629,X7628,X7630),inference(resolution,status(thm),[c19028, c19061])).
% 70.21/70.48 cnf(c20379,plain,para(X7641,X7642,X7643,X7642),inference(resolution,status(thm),[c20374, c18297])).
% 70.21/70.48 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).
% 70.21/70.48 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])).
% 70.21/70.48 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])).
% 70.21/70.48 cnf(c378,axiom,~para(X1246,X1247,X1250,X1249)|~perp(X1250,X1249,X1248,X1245)|perp(X1246,X1247,X1248,X1245),inference(split_conjunct,status(thm),[c377])).
% 70.21/70.48 cnf(c18924,plain,~para(X11980,X11978,X11979,X11979)|perp(X11980,X11978,X11979,X11979),inference(resolution,status(thm),[c18915, c378])).
% 70.21/70.48 cnf(c23806,plain,perp(X11981,X11982,X11982,X11982),inference(resolution,status(thm),[c18924, c20379])).
% 70.21/70.48 cnf(c23879,plain,~midp(X12516,X12516,X12516)|cong(X12515,X12516,X12515,X12516),inference(resolution,status(thm),[c23806, c226])).
% 70.21/70.48 cnf(c24217,plain,cong(X12518,X12517,X12518,X12517),inference(resolution,status(thm),[c23879, c19061])).
% 70.21/70.48 cnf(c24220,plain,~coll(X12532,X12533,X12533)|midp(X12532,X12533,X12533),inference(resolution,status(thm),[c24217, c185])).
% 70.21/70.48 cnf(c24239,plain,midp(X12537,X12536,X12536),inference(resolution,status(thm),[c24220, c17815])).
% 70.21/70.48 cnf(c24270,plain,cong(X12545,X12544,X12543,X12544),inference(resolution,status(thm),[c24239, c18974])).
% 70.21/70.48 cnf(c24313,plain,cong(X12563,X12562,X12562,X12561),inference(resolution,status(thm),[c24270, c337])).
% 70.21/70.48 cnf(c24321,plain,cong(X12566,X12564,X12565,X12566),inference(resolution,status(thm),[c24313, c334])).
% 70.21/70.48 cnf(c24330,plain,cong(X12578,X12577,X12578,X12576),inference(resolution,status(thm),[c24321, c337])).
% 70.21/70.48 cnf(c24334,plain,~coll(X12609,X12608,X12610)|midp(X12609,X12608,X12610),inference(resolution,status(thm),[c24330, c185])).
% 70.21/70.48 cnf(c24355,plain,midp(X12613,X12611,X12612),inference(resolution,status(thm),[c24334, c17815])).
% 70.21/70.48 cnf(c24357,plain,para(X12616,X12614,X12617,X12615),inference(resolution,status(thm),[c24355, c19115])).
% 70.21/70.48 cnf(c24365,plain,$false,inference(resolution,status(thm),[c24357, c20])).
% 70.21/70.48 # SZS output end CNFRefutation
% 70.21/70.48
% 70.21/70.48 # Initial clauses : 133
% 70.21/70.48 # Processed clauses : 2873
% 70.21/70.48 # Factors computed : 0
% 70.21/70.48 # Resolvents computed: 23963
% 70.21/70.48 # Tautologies deleted: 5
% 70.21/70.48 # Forward subsumed : 7523
% 70.21/70.48 # Backward subsumed : 2605
% 70.21/70.48 # -------- CPU Time ---------
% 70.21/70.48 # User time : 70.089 s
% 70.21/70.48 # System time : 0.045 s
% 70.21/70.48 # Total time : 70.134 s
%------------------------------------------------------------------------------