TSTP Solution File: GEO542+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO542+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 06:00:51 EDT 2022
% Result : Theorem 62.26s 62.50s
% Output : Refutation 62.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 08:07:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 62.26/62.50 # Version: 1.3
% 62.26/62.50 # SZS status Theorem
% 62.26/62.50 # SZS output start CNFRefutation
% 62.26/62.50 fof(exemplo6GDDFULL012002,conjecture,(![A]:(![B]:(![C]:(![A1]:(![B1]:(![C1]:(![O]:((((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C))=>perp(O,A1,B1,C1))))))))),input).
% 62.26/62.50 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![A1]:(![B1]:(![C1]:(![O]:((((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C))=>perp(O,A1,B1,C1)))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL012002])).
% 62.26/62.50 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[A1]:(?[B1]:(?[C1]:(?[O]:((((midp(A1,C,B)&midp(B1,C,A))&midp(C1,B,A))&circle(O,A,B,C))&~perp(O,A1,B1,C1))))))))),inference(fof_nnf,status(thm),[c11])).
% 62.26/62.50 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:((((midp(X5,X4,X3)&midp(X6,X4,X2))&midp(X7,X3,X2))&circle(X8,X2,X3,X4))&~perp(X8,X5,X6,X7))))))))),inference(variable_rename,status(thm),[c12])).
% 62.26/62.50 fof(c14,negated_conjecture,((((midp(skolem0004,skolem0003,skolem0002)&midp(skolem0005,skolem0003,skolem0001))&midp(skolem0006,skolem0002,skolem0001))&circle(skolem0007,skolem0001,skolem0002,skolem0003))&~perp(skolem0007,skolem0004,skolem0005,skolem0006)),inference(skolemize,status(esa),[c13])).
% 62.26/62.50 cnf(c19,negated_conjecture,~perp(skolem0007,skolem0004,skolem0005,skolem0006),inference(split_conjunct,status(thm),[c14])).
% 62.26/62.50 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 62.26/62.50 fof(c194,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])).
% 62.26/62.50 fof(c195,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c194])).
% 62.26/62.50 fof(c197,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(c196,axiom,(![X176]:(![X177]:(![X178]:(![X179]:((![X180]:(~midp(X180,X176,X177)|~midp(X180,X178,X179)))|para(X176,X178,X177,X179)))))),inference(variable_rename,status(thm),[c195])).])).
% 62.26/62.50 cnf(c198,axiom,~midp(X961,X960,X958)|~midp(X961,X959,X957)|para(X960,X959,X958,X957),inference(split_conjunct,status(thm),[c197])).
% 62.26/62.50 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 62.26/62.50 fof(c372,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 62.26/62.50 fof(c373,axiom,(![X483]:(![X484]:(![X485]:(~midp(X485,X484,X483)|midp(X485,X483,X484))))),inference(variable_rename,status(thm),[c372])).
% 62.26/62.50 cnf(c374,axiom,~midp(X550,X549,X548)|midp(X550,X548,X549),inference(split_conjunct,status(thm),[c373])).
% 62.26/62.50 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 62.26/62.50 fof(c402,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 62.26/62.50 fof(c403,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X527,X529,X528))))),inference(variable_rename,status(thm),[c402])).
% 62.26/62.50 cnf(c404,axiom,~coll(X592,X594,X593)|coll(X592,X593,X594),inference(split_conjunct,status(thm),[c403])).
% 62.26/62.50 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 62.26/62.50 fof(c399,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 62.26/62.50 fof(c400,axiom,(![X524]:(![X525]:(![X526]:(~coll(X524,X525,X526)|coll(X525,X524,X526))))),inference(variable_rename,status(thm),[c399])).
% 62.26/62.50 cnf(c401,axiom,~coll(X568,X567,X569)|coll(X567,X568,X569),inference(split_conjunct,status(thm),[c400])).
% 62.26/62.50 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 62.26/62.50 fof(c185,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 62.26/62.50 fof(c186,axiom,(![X163]:(![X164]:(![X165]:(~para(X163,X164,X163,X165)|coll(X163,X164,X165))))),inference(variable_rename,status(thm),[c185])).
% 62.26/62.50 cnf(c187,axiom,~para(X669,X670,X669,X668)|coll(X669,X670,X668),inference(split_conjunct,status(thm),[c186])).
% 62.26/62.50 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 62.26/62.50 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])).
% 62.26/62.50 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])).
% 62.26/62.50 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])).])).
% 62.26/62.50 cnf(c286,axiom,~eqangle(X1077,X1075,X1078,X1079,X1076,X1074,X1078,X1079)|para(X1077,X1075,X1076,X1074),inference(split_conjunct,status(thm),[c285])).
% 62.26/62.50 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).
% 62.26/62.50 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])).
% 62.26/62.50 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])).
% 62.26/62.50 cnf(c348,axiom,~eqangle(X1216,X1212,X1218,X1215,X1214,X1213,X1217,X1219)|eqangle(X1218,X1215,X1216,X1212,X1217,X1219,X1214,X1213),inference(split_conjunct,status(thm),[c347])).
% 62.26/62.50 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 62.26/62.50 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])).
% 62.26/62.50 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])).
% 62.26/62.50 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])).])).
% 62.26/62.50 cnf(c281,axiom,~para(X1070,X1069,X1071,X1072)|eqangle(X1070,X1069,X1073,X1068,X1071,X1072,X1073,X1068),inference(split_conjunct,status(thm),[c280])).
% 62.26/62.50 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 62.26/62.50 fof(c393,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 62.26/62.50 fof(c394,axiom,(![X516]:(![X517]:(![X518]:(![X519]:(~para(X516,X517,X518,X519)|para(X516,X517,X519,X518)))))),inference(variable_rename,status(thm),[c393])).
% 62.26/62.50 cnf(c395,axiom,~para(X766,X765,X763,X764)|para(X766,X765,X764,X763),inference(split_conjunct,status(thm),[c394])).
% 62.26/62.50 cnf(c16,negated_conjecture,midp(skolem0005,skolem0003,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 62.26/62.50 cnf(c415,plain,midp(skolem0005,skolem0001,skolem0003),inference(resolution,status(thm),[c374, c16])).
% 62.26/62.50 cnf(c976,plain,~midp(skolem0005,X1624,X1623)|para(X1624,skolem0001,X1623,skolem0003),inference(resolution,status(thm),[c198, c415])).
% 62.26/62.50 cnf(c2268,plain,para(skolem0003,skolem0001,skolem0001,skolem0003),inference(resolution,status(thm),[c976, c16])).
% 62.26/62.50 cnf(c2286,plain,para(skolem0003,skolem0001,skolem0003,skolem0001),inference(resolution,status(thm),[c2268, c395])).
% 62.26/62.50 cnf(c2338,plain,eqangle(skolem0003,skolem0001,X2521,X2520,skolem0003,skolem0001,X2521,X2520),inference(resolution,status(thm),[c2286, c281])).
% 62.26/62.50 cnf(c5010,plain,eqangle(X2780,X2779,skolem0003,skolem0001,X2780,X2779,skolem0003,skolem0001),inference(resolution,status(thm),[c2338, c348])).
% 62.26/62.50 cnf(c5777,plain,para(X2782,X2781,X2782,X2781),inference(resolution,status(thm),[c5010, c286])).
% 62.26/62.50 cnf(c5796,plain,coll(X2788,X2787,X2787),inference(resolution,status(thm),[c5777, c187])).
% 62.26/62.50 cnf(c5810,plain,coll(X2789,X2790,X2789),inference(resolution,status(thm),[c5796, c401])).
% 62.26/62.50 cnf(c6184,plain,coll(X2796,X2796,X2795),inference(resolution,status(thm),[c5810, c404])).
% 62.26/62.50 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 62.26/62.50 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])).
% 62.26/62.50 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])).
% 62.26/62.50 cnf(c398,axiom,~coll(X776,X773,X774)|~coll(X776,X773,X775)|coll(X774,X775,X776),inference(split_conjunct,status(thm),[c397])).
% 62.26/62.50 cnf(c6425,plain,~coll(X3800,X3800,X3799)|coll(X3799,X3801,X3800),inference(resolution,status(thm),[c6184, c398])).
% 62.26/62.50 cnf(c9960,plain,coll(X3807,X3805,X3806),inference(resolution,status(thm),[c6425, c6184])).
% 62.26/62.50 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 62.26/62.50 fof(c182,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 62.26/62.50 fof(c183,axiom,(![X160]:(![X161]:(![X162]:((~cong(X160,X161,X160,X162)|~coll(X160,X161,X162))|midp(X160,X161,X162))))),inference(variable_rename,status(thm),[c182])).
% 62.26/62.50 cnf(c184,axiom,~cong(X943,X944,X943,X945)|~coll(X943,X944,X945)|midp(X943,X944,X945),inference(split_conjunct,status(thm),[c183])).
% 62.26/62.50 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 62.26/62.50 fof(c334,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 62.26/62.50 fof(c335,axiom,(![X409]:(![X410]:(![X411]:(![X412]:(~cong(X409,X410,X411,X412)|cong(X409,X410,X412,X411)))))),inference(variable_rename,status(thm),[c334])).
% 62.26/62.50 cnf(c336,axiom,~cong(X685,X686,X687,X684)|cong(X685,X686,X684,X687),inference(split_conjunct,status(thm),[c335])).
% 62.26/62.50 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).
% 62.26/62.50 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])).
% 62.26/62.50 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])).
% 62.26/62.50 cnf(c269,axiom,~eqangle(X1056,X1059,X1056,X1057,X1058,X1059,X1058,X1057)|~coll(X1056,X1058,X1057)|cyclic(X1059,X1057,X1056,X1058),inference(split_conjunct,status(thm),[c268])).
% 62.26/62.50 cnf(c5791,plain,eqangle(X3633,X3635,X3636,X3634,X3633,X3635,X3636,X3634),inference(resolution,status(thm),[c5777, c281])).
% 62.26/62.50 cnf(c9831,plain,~coll(X4104,X4104,X4103)|cyclic(X4102,X4103,X4104,X4104),inference(resolution,status(thm),[c5791, c269])).
% 62.26/62.50 cnf(c10720,plain,cyclic(X4105,X4107,X4106,X4106),inference(resolution,status(thm),[c9831, c9960])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c262,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])).
% 62.26/62.50 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(shift_quantors,status(thm),[c262])).
% 62.26/62.50 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(shift_quantors,status(thm),[fof(c264,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),[c263])).])).
% 62.26/62.50 cnf(c266,axiom,~cyclic(X1055,X1052,X1051,X1053)|~cyclic(X1055,X1052,X1051,X1050)|~cyclic(X1055,X1052,X1051,X1054)|~eqangle(X1051,X1055,X1051,X1052,X1054,X1053,X1054,X1050)|cong(X1055,X1052,X1053,X1050),inference(split_conjunct,status(thm),[c265])).
% 62.26/62.50 fof(ruleD20,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(P,Q,U,V,A,B,C,D)))))))))),input).
% 62.26/62.50 fof(c343,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD20])).
% 62.26/62.50 fof(c344,axiom,(![X433]:(![X434]:(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(![X440]:(~eqangle(X433,X434,X435,X436,X437,X438,X439,X440)|eqangle(X437,X438,X439,X440,X433,X434,X435,X436)))))))))),inference(variable_rename,status(thm),[c343])).
% 62.26/62.50 cnf(c345,axiom,~eqangle(X1206,X1209,X1208,X1204,X1210,X1205,X1207,X1211)|eqangle(X1210,X1205,X1207,X1211,X1206,X1209,X1208,X1204),inference(split_conjunct,status(thm),[c344])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c340,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])).
% 62.26/62.50 fof(c341,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),[c340])).
% 62.26/62.50 cnf(c342,axiom,~eqangle(X1203,X1198,X1197,X1202,X1196,X1201,X1199,X1200)|eqangle(X1203,X1198,X1196,X1201,X1197,X1202,X1199,X1200),inference(split_conjunct,status(thm),[c341])).
% 62.26/62.50 cnf(c5787,plain,para(X2806,X2807,X2807,X2806),inference(resolution,status(thm),[c5777, c395])).
% 62.26/62.50 cnf(c6486,plain,eqangle(X3909,X3907,X3910,X3908,X3907,X3909,X3910,X3908),inference(resolution,status(thm),[c5787, c281])).
% 62.26/62.50 cnf(c10233,plain,eqangle(X3959,X3958,X3958,X3959,X3960,X3957,X3960,X3957),inference(resolution,status(thm),[c6486, c342])).
% 62.26/62.50 cnf(c10561,plain,eqangle(X4008,X4010,X4008,X4010,X4009,X4011,X4011,X4009),inference(resolution,status(thm),[c10233, c345])).
% 62.26/62.50 cnf(c10636,plain,~cyclic(X5048,X5048,X5046,X5047)|cong(X5048,X5048,X5047,X5047),inference(resolution,status(thm),[c10561, c266])).
% 62.26/62.50 cnf(c11681,plain,cong(X5049,X5049,X5050,X5050),inference(resolution,status(thm),[c10636, c10720])).
% 62.26/62.50 cnf(c11695,plain,~coll(X5068,X5068,X5068)|midp(X5068,X5068,X5068),inference(resolution,status(thm),[c11681, c184])).
% 62.26/62.50 cnf(c11714,plain,midp(X5069,X5069,X5069),inference(resolution,status(thm),[c11695, c9960])).
% 62.26/62.50 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 62.26/62.50 fof(c234,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])).
% 62.26/62.50 fof(c235,axiom,(![X231]:(![X232]:(![X233]:(![X234]:((~perp(X231,X232,X232,X233)|~midp(X234,X231,X233))|cong(X231,X234,X232,X234)))))),inference(variable_rename,status(thm),[c234])).
% 62.26/62.50 cnf(c236,axiom,~perp(X1010,X1012,X1012,X1013)|~midp(X1011,X1010,X1013)|cong(X1010,X1011,X1012,X1011),inference(split_conjunct,status(thm),[c235])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c155,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])).
% 62.26/62.50 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(shift_quantors,status(thm),[c155])).
% 62.26/62.50 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(shift_quantors,status(thm),[fof(c157,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),[c156])).])).
% 62.26/62.50 cnf(c159,axiom,~eqangle(X918,X917,X919,X915,X914,X916,X913,X912)|~perp(X914,X916,X913,X912)|perp(X918,X917,X919,X915),inference(split_conjunct,status(thm),[c158])).
% 62.26/62.50 cnf(c10573,plain,~perp(X5027,X5025,X5027,X5025)|perp(X5024,X5026,X5026,X5024),inference(resolution,status(thm),[c10233, c159])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c217,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])).
% 62.26/62.50 fof(c218,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),[c217])).
% 62.26/62.50 cnf(c219,axiom,~cong(X990,X993,X992,X993)|~cong(X990,X991,X992,X991)|~cyclic(X990,X992,X993,X991)|perp(X993,X990,X990,X991),inference(split_conjunct,status(thm),[c218])).
% 62.26/62.50 cnf(c10726,plain,~cong(X5301,X5302,X5303,X5302)|perp(X5302,X5301,X5301,X5302),inference(resolution,status(thm),[c10720, c219])).
% 62.26/62.50 cnf(c12852,plain,perp(X5304,X5304,X5304,X5304),inference(resolution,status(thm),[c10726, c11681])).
% 62.26/62.50 cnf(c12873,plain,perp(X5314,X5315,X5315,X5314),inference(resolution,status(thm),[c12852, c10573])).
% 62.26/62.50 cnf(c12911,plain,~midp(X5361,X5362,X5362)|cong(X5362,X5361,X5363,X5361),inference(resolution,status(thm),[c12873, c236])).
% 62.26/62.50 cnf(c12928,plain,cong(X5364,X5364,X5365,X5364),inference(resolution,status(thm),[c12911, c11714])).
% 62.26/62.50 cnf(c12949,plain,cong(X5367,X5367,X5367,X5366),inference(resolution,status(thm),[c12928, c336])).
% 62.26/62.50 cnf(c13003,plain,~coll(X5401,X5401,X5402)|midp(X5401,X5401,X5402),inference(resolution,status(thm),[c12949, c184])).
% 62.26/62.50 cnf(c13257,plain,midp(X5403,X5403,X5404),inference(resolution,status(thm),[c13003, c9960])).
% 62.26/62.50 cnf(c13282,plain,midp(X5407,X5406,X5407),inference(resolution,status(thm),[c13257, c374])).
% 62.26/62.50 cnf(c13417,plain,~midp(X8771,X8773,X8772)|para(X8773,X8774,X8772,X8771),inference(resolution,status(thm),[c13282, c198])).
% 62.26/62.50 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 62.26/62.50 fof(c331,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 62.26/62.50 fof(c332,axiom,(![X405]:(![X406]:(![X407]:(![X408]:(~cong(X405,X406,X407,X408)|cong(X407,X408,X405,X406)))))),inference(variable_rename,status(thm),[c331])).
% 62.26/62.50 cnf(c333,axiom,~cong(X674,X671,X672,X673)|cong(X672,X673,X674,X671),inference(split_conjunct,status(thm),[c332])).
% 62.26/62.50 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 62.26/62.50 fof(c223,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])).
% 62.26/62.50 fof(c224,axiom,(![X219]:(![X220]:(![X221]:(![X222]:((~midp(X221,X219,X220)|~perp(X222,X221,X219,X220))|cong(X222,X219,X222,X220)))))),inference(variable_rename,status(thm),[c223])).
% 62.26/62.50 cnf(c225,axiom,~midp(X999,X1000,X1001)|~perp(X998,X999,X1000,X1001)|cong(X998,X1000,X998,X1001),inference(split_conjunct,status(thm),[c224])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c160,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])).
% 62.26/62.50 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(shift_quantors,status(thm),[c160])).
% 62.26/62.50 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(shift_quantors,status(thm),[fof(c162,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),[c161])).])).
% 62.26/62.50 cnf(c164,axiom,~eqangle(X920,X924,X926,X923,X927,X922,X921,X925)|~para(X927,X922,X921,X925)|para(X920,X924,X926,X923),inference(split_conjunct,status(thm),[c163])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c349,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])).
% 62.26/62.50 fof(c350,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),[c349])).
% 62.26/62.50 cnf(c351,axiom,~eqangle(X1221,X1224,X1222,X1227,X1225,X1226,X1220,X1223)|eqangle(X1224,X1221,X1222,X1227,X1225,X1226,X1220,X1223),inference(split_conjunct,status(thm),[c350])).
% 62.26/62.50 cnf(c10242,plain,eqangle(X3967,X3966,X3965,X3964,X3967,X3966,X3964,X3965),inference(resolution,status(thm),[c6486, c348])).
% 62.26/62.50 cnf(c10577,plain,eqangle(X4031,X4032,X4034,X4033,X4032,X4031,X4033,X4034),inference(resolution,status(thm),[c10242, c351])).
% 62.26/62.50 cnf(c10653,plain,~para(X5196,X5195,X5198,X5197)|para(X5195,X5196,X5197,X5198),inference(resolution,status(thm),[c10577, c164])).
% 62.26/62.50 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 62.26/62.50 fof(c259,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])).
% 62.26/62.50 fof(c260,axiom,(![X266]:(![X267]:(![X268]:(![X269]:(![X270]:((~midp(X269,X266,X267)|~midp(X270,X266,X268))|para(X269,X270,X267,X268))))))),inference(variable_rename,status(thm),[c259])).
% 62.26/62.50 cnf(c261,axiom,~midp(X1047,X1049,X1048)|~midp(X1045,X1049,X1046)|para(X1047,X1045,X1048,X1046),inference(split_conjunct,status(thm),[c260])).
% 62.26/62.50 cnf(c13281,plain,~midp(X7348,X7349,X7347)|para(X7348,X7349,X7347,X7346),inference(resolution,status(thm),[c13257, c261])).
% 62.26/62.50 cnf(c16928,plain,para(X7353,X7354,X7353,X7355),inference(resolution,status(thm),[c13281, c13282])).
% 62.26/62.50 cnf(c16959,plain,para(X7372,X7373,X7371,X7373),inference(resolution,status(thm),[c16928, c10653])).
% 62.26/62.50 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).
% 62.26/62.50 fof(c375,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])).
% 62.26/62.50 fof(c376,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),[c375])).
% 62.26/62.50 cnf(c377,axiom,~para(X1244,X1245,X1246,X1242)|~perp(X1246,X1242,X1243,X1247)|perp(X1244,X1245,X1243,X1247),inference(split_conjunct,status(thm),[c376])).
% 62.26/62.50 cnf(c12874,plain,~para(X13248,X13247,X13249,X13249)|perp(X13248,X13247,X13249,X13249),inference(resolution,status(thm),[c12852, c377])).
% 62.26/62.50 cnf(c26815,plain,perp(X13255,X13256,X13256,X13256),inference(resolution,status(thm),[c12874, c16959])).
% 62.26/62.50 cnf(c26902,plain,~midp(X13764,X13764,X13764)|cong(X13763,X13764,X13763,X13764),inference(resolution,status(thm),[c26815, c225])).
% 62.26/62.50 cnf(c27263,plain,cong(X13769,X13768,X13769,X13768),inference(resolution,status(thm),[c26902, c13282])).
% 62.26/62.50 cnf(c27302,plain,~coll(X13794,X13795,X13795)|midp(X13794,X13795,X13795),inference(resolution,status(thm),[c27263, c184])).
% 62.26/62.50 cnf(c27379,plain,midp(X13796,X13797,X13797),inference(resolution,status(thm),[c27302, c9960])).
% 62.26/62.50 cnf(c27436,plain,cong(X13806,X13808,X13807,X13808),inference(resolution,status(thm),[c27379, c12911])).
% 62.26/62.50 cnf(c27539,plain,cong(X13822,X13821,X13821,X13820),inference(resolution,status(thm),[c27436, c336])).
% 62.26/62.50 cnf(c27593,plain,cong(X13830,X13829,X13831,X13830),inference(resolution,status(thm),[c27539, c333])).
% 62.26/62.50 cnf(c27633,plain,cong(X13834,X13833,X13834,X13832),inference(resolution,status(thm),[c27593, c336])).
% 62.26/62.50 cnf(c27674,plain,~coll(X15048,X15047,X15049)|midp(X15048,X15047,X15049),inference(resolution,status(thm),[c27633, c184])).
% 62.26/62.50 cnf(c29842,plain,midp(X15051,X15050,X15052),inference(resolution,status(thm),[c27674, c9960])).
% 62.26/62.50 cnf(c29859,plain,para(X15053,X15056,X15055,X15054),inference(resolution,status(thm),[c29842, c13417])).
% 62.26/62.50 cnf(c9819,plain,eqangle(X3939,X3940,X3939,X3940,X3941,X3938,X3941,X3938),inference(resolution,status(thm),[c5791, c342])).
% 62.26/62.50 cnf(c10559,plain,~perp(X5015,X5014,X5015,X5014)|perp(X5013,X5012,X5013,X5012),inference(resolution,status(thm),[c9819, c159])).
% 62.26/62.50 cnf(c12869,plain,perp(X5311,X5310,X5311,X5310),inference(resolution,status(thm),[c12852, c10559])).
% 62.26/62.50 cnf(c12894,plain,~para(X16240,X16239,X16238,X16241)|perp(X16240,X16239,X16238,X16241),inference(resolution,status(thm),[c12869, c377])).
% 62.26/62.50 cnf(c30455,plain,perp(X16244,X16243,X16242,X16245),inference(resolution,status(thm),[c12894, c29859])).
% 62.26/62.50 cnf(c30456,plain,$false,inference(resolution,status(thm),[c30455, c19])).
% 62.26/62.50 # SZS output end CNFRefutation
% 62.26/62.50
% 62.26/62.50 # Initial clauses : 132
% 62.26/62.50 # Processed clauses : 3456
% 62.26/62.50 # Factors computed : 0
% 62.26/62.50 # Resolvents computed: 30053
% 62.26/62.50 # Tautologies deleted: 34
% 62.26/62.50 # Forward subsumed : 10655
% 62.26/62.50 # Backward subsumed : 3013
% 62.26/62.50 # -------- CPU Time ---------
% 62.26/62.50 # User time : 62.041 s
% 62.26/62.50 # System time : 0.065 s
% 62.26/62.50 # Total time : 62.106 s
%------------------------------------------------------------------------------