%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 : 300s
% DateTime : Thu May 9 17:22:15 EDT 2024
% Result : Theorem 26.29s 26.52s
% Output : Refutation 26.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 08:31:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 26.29/26.52 % Version: 1.5
% 26.29/26.52 % SZS status Theorem
% 26.29/26.52 % SZS output start CNFRefutation
% 26.29/26.52 fof(exemplo6GDDFULL012006,conjecture,(![A]:(![B]:(![C]:(![E]:(![F]:(![H]:((((((perp(E,C,A,B)&coll(E,A,B))&perp(F,A,B,C))&coll(F,B,C))&coll(H,C,E))&coll(H,A,F))=>perp(B,H,A,C)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', exemplo6GDDFULL012006)).
% 26.29/26.52 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![E]:(![F]:(![H]:((((((perp(E,C,A,B)&coll(E,A,B))&perp(F,A,B,C))&coll(F,B,C))&coll(H,C,E))&coll(H,A,F))=>perp(B,H,A,C))))))))),inference(assume_negation,[status(cth)],[exemplo6GDDFULL012006])).
% 26.29/26.52 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[E]:(?[F]:(?[H]:((((((perp(E,C,A,B)&coll(E,A,B))&perp(F,A,B,C))&coll(F,B,C))&coll(H,C,E))&coll(H,A,F))&~perp(B,H,A,C)))))))),inference(fof_nnf,[status(thm)],[c11])).
% 26.29/26.52 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((((((perp(X5,X4,X2,X3)&coll(X5,X2,X3))&perp(X6,X2,X3,X4))&coll(X6,X3,X4))&coll(X7,X4,X5))&coll(X7,X2,X6))&~perp(X3,X7,X2,X4)))))))),inference(variable_rename,[status(thm)],[c12])).
% 26.29/26.52 fof(c14,negated_conjecture,((((((perp(skolem0004,skolem0003,skolem0001,skolem0002)&coll(skolem0004,skolem0001,skolem0002))&perp(skolem0005,skolem0001,skolem0002,skolem0003))&coll(skolem0005,skolem0002,skolem0003))&coll(skolem0006,skolem0003,skolem0004))&coll(skolem0006,skolem0001,skolem0005))&~perp(skolem0002,skolem0006,skolem0001,skolem0003)),inference(skolemize,[status(esa)],[c13])).
% 26.29/26.52 cnf(c21,negated_conjecture,~perp(skolem0002,skolem0006,skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c14])).
% 26.29/26.52 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD3)).
% 26.29/26.52 fof(c398,plain,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,[status(thm)],[ruleD3])).
% 26.29/26.52 fof(c399,plain,(![X519]:(![X520]:(![X521]:(![X522]:((~coll(X519,X520,X521)|~coll(X519,X520,X522))|coll(X521,X522,X519)))))),inference(variable_rename,[status(thm)],[c398])).
% 26.29/26.52 cnf(c400,plain,~coll(X752,X751,X749)|~coll(X752,X751,X750)|coll(X749,X750,X752),inference(split_conjunct,[status(thm)],[c399])).
% 26.29/26.52 cnf(c531,plain,~coll(X753,X754,X755)|coll(X755,X755,X753),inference(factor,[status(thm)],[c400])).
% 26.29/26.52 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD66)).
% 26.29/26.52 fof(c187,plain,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD66])).
% 26.29/26.52 fof(c188,plain,(![X162]:(![X163]:(![X164]:(~para(X162,X163,X162,X164)|coll(X162,X163,X164))))),inference(variable_rename,[status(thm)],[c187])).
% 26.29/26.52 cnf(c189,plain,~para(X669,X668,X669,X670)|coll(X669,X668,X670),inference(split_conjunct,[status(thm)],[c188])).
% 26.29/26.52 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD39)).
% 26.29/26.52 fof(c284,plain,(![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])).
% 26.29/26.52 fof(c285,plain,(![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)],[c284])).
% 26.29/26.52 fof(c287,plain,(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(~eqangle(X294,X295,X298,X299,X296,X297,X298,X299)|para(X294,X295,X296,X297)))))))),inference(shift_quantors,[status(thm)],[fof(c286,plain,(![X294]:(![X295]:(![X296]:(![X297]:((![X298]:(![X299]:~eqangle(X294,X295,X298,X299,X296,X297,X298,X299)))|para(X294,X295,X296,X297)))))),inference(variable_rename,[status(thm)],[c285])).])).
% 26.29/26.52 cnf(c288,plain,~eqangle(X1080,X1078,X1082,X1083,X1079,X1081,X1082,X1083)|para(X1080,X1078,X1079,X1081),inference(split_conjunct,[status(thm)],[c287])).
% 26.29/26.52 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)))))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD19)).
% 26.29/26.52 fof(c348,plain,(![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])).
% 26.29/26.52 fof(c349,plain,(![X440]:(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(~eqangle(X440,X441,X442,X443,X444,X445,X446,X447)|eqangle(X442,X443,X440,X441,X446,X447,X444,X445)))))))))),inference(variable_rename,[status(thm)],[c348])).
% 26.29/26.52 cnf(c350,plain,~eqangle(X1230,X1232,X1235,X1233,X1231,X1234,X1237,X1236)|eqangle(X1235,X1233,X1230,X1232,X1237,X1236,X1231,X1234),inference(split_conjunct,[status(thm)],[c349])).
% 26.29/26.52 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD40)).
% 26.29/26.52 fof(c279,plain,(![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])).
% 26.29/26.52 fof(c280,plain,(![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)],[c279])).
% 26.29/26.52 fof(c282,plain,(![X288]:(![X289]:(![X290]:(![X291]:(![X292]:(![X293]:(~para(X288,X289,X290,X291)|eqangle(X288,X289,X292,X293,X290,X291,X292,X293)))))))),inference(shift_quantors,[status(thm)],[fof(c281,plain,(![X288]:(![X289]:(![X290]:(![X291]:(~para(X288,X289,X290,X291)|(![X292]:(![X293]:eqangle(X288,X289,X292,X293,X290,X291,X292,X293)))))))),inference(variable_rename,[status(thm)],[c280])).])).
% 26.29/26.52 cnf(c283,plain,~para(X1076,X1075,X1073,X1072)|eqangle(X1076,X1075,X1071,X1074,X1073,X1072,X1071,X1074),inference(split_conjunct,[status(thm)],[c282])).
% 26.29/26.52 cnf(c15,negated_conjecture,perp(skolem0004,skolem0003,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c14])).
% 26.29/26.52 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD8)).
% 26.29/26.52 fof(c383,plain,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD8])).
% 26.29/26.52 fof(c384,plain,(![X497]:(![X498]:(![X499]:(![X500]:(~perp(X497,X498,X499,X500)|perp(X499,X500,X497,X498)))))),inference(variable_rename,[status(thm)],[c383])).
% 26.29/26.52 cnf(c385,plain,~perp(X698,X700,X699,X697)|perp(X699,X697,X698,X700),inference(split_conjunct,[status(thm)],[c384])).
% 26.29/26.52 cnf(c485,plain,perp(skolem0001,skolem0002,skolem0004,skolem0003),inference(resolution,[status(thm)],[c385, c15])).
% 26.29/26.52 fof(ruleD7,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(A,B,D,C)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD7)).
% 26.29/26.52 fof(c386,plain,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD7])).
% 26.29/26.52 fof(c387,plain,(![X501]:(![X502]:(![X503]:(![X504]:(~perp(X501,X502,X503,X504)|perp(X501,X502,X504,X503)))))),inference(variable_rename,[status(thm)],[c386])).
% 26.29/26.52 cnf(c388,plain,~perp(X706,X705,X707,X704)|perp(X706,X705,X704,X707),inference(split_conjunct,[status(thm)],[c387])).
% 26.29/26.52 cnf(c493,plain,perp(skolem0001,skolem0002,skolem0003,skolem0004),inference(resolution,[status(thm)],[c388, c485])).
% 26.29/26.52 cnf(c505,plain,perp(skolem0003,skolem0004,skolem0001,skolem0002),inference(resolution,[status(thm)],[c493, c385])).
% 26.29/26.52 fof(ruleD9,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((perp(A,B,C,D)&perp(C,D,E,F))=>para(A,B,E,F)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD9)).
% 26.29/26.52 fof(c380,plain,(![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])).
% 26.29/26.52 fof(c381,plain,(![X491]:(![X492]:(![X493]:(![X494]:(![X495]:(![X496]:((~perp(X491,X492,X493,X494)|~perp(X493,X494,X495,X496))|para(X491,X492,X495,X496)))))))),inference(variable_rename,[status(thm)],[c380])).
% 26.29/26.52 cnf(c382,plain,~perp(X1268,X1266,X1271,X1267)|~perp(X1271,X1267,X1270,X1269)|para(X1268,X1266,X1270,X1269),inference(split_conjunct,[status(thm)],[c381])).
% 26.29/26.52 cnf(c1486,plain,~perp(X2667,X2668,skolem0003,skolem0004)|para(X2667,X2668,skolem0001,skolem0002),inference(resolution,[status(thm)],[c382, c505])).
% 26.29/26.52 cnf(c4444,plain,para(skolem0001,skolem0002,skolem0001,skolem0002),inference(resolution,[status(thm)],[c1486, c493])).
% 26.29/26.52 cnf(c4447,plain,eqangle(skolem0001,skolem0002,X2683,X2684,skolem0001,skolem0002,X2683,X2684),inference(resolution,[status(thm)],[c4444, c283])).
% 26.29/26.52 cnf(c4544,plain,eqangle(X2703,X2702,skolem0001,skolem0002,X2703,X2702,skolem0001,skolem0002),inference(resolution,[status(thm)],[c4447, c350])).
% 26.29/26.52 cnf(c4633,plain,para(X2704,X2705,X2704,X2705),inference(resolution,[status(thm)],[c4544, c288])).
% 26.29/26.52 cnf(c4676,plain,coll(X2711,X2710,X2710),inference(resolution,[status(thm)],[c4633, c189])).
% 26.29/26.52 cnf(c4710,plain,coll(X2712,X2712,X2713),inference(resolution,[status(thm)],[c4676, c531])).
% 26.29/26.52 cnf(c5058,plain,~coll(X3775,X3775,X3777)|coll(X3777,X3776,X3775),inference(resolution,[status(thm)],[c4710, c400])).
% 26.29/26.52 cnf(c9062,plain,coll(X3778,X3780,X3779),inference(resolution,[status(thm)],[c5058, c4710])).
% 26.29/26.52 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD67)).
% 26.29/26.52 fof(c184,plain,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD67])).
% 26.29/26.52 fof(c185,plain,(![X159]:(![X160]:(![X161]:((~cong(X159,X160,X159,X161)|~coll(X159,X160,X161))|midp(X159,X160,X161))))),inference(variable_rename,[status(thm)],[c184])).
% 26.29/26.52 cnf(c186,plain,~cong(X934,X932,X934,X933)|~coll(X934,X932,X933)|midp(X934,X932,X933),inference(split_conjunct,[status(thm)],[c185])).
% 26.29/26.52 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD23)).
% 26.29/26.52 fof(c336,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD23])).
% 26.29/26.52 fof(c337,plain,(![X408]:(![X409]:(![X410]:(![X411]:(~cong(X408,X409,X410,X411)|cong(X408,X409,X411,X410)))))),inference(variable_rename,[status(thm)],[c336])).
% 26.29/26.52 cnf(c338,plain,~cong(X675,X676,X678,X677)|cong(X675,X676,X677,X678),inference(split_conjunct,[status(thm)],[c337])).
% 26.29/26.52 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD24)).
% 26.29/26.52 fof(c333,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD24])).
% 26.29/26.52 fof(c334,plain,(![X404]:(![X405]:(![X406]:(![X407]:(~cong(X404,X405,X406,X407)|cong(X406,X407,X404,X405)))))),inference(variable_rename,[status(thm)],[c333])).
% 26.29/26.52 cnf(c335,plain,~cong(X674,X672,X671,X673)|cong(X671,X673,X674,X672),inference(split_conjunct,[status(thm)],[c334])).
% 26.29/26.52 fof(ruleD64,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((midp(M,A,B)¶(A,C,B,D))¶(A,D,B,C))=>midp(M,C,D))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD64)).
% 26.29/26.52 fof(c193,plain,(![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])).
% 26.29/26.52 fof(c194,plain,(![X170]:(![X171]:(![X172]:(![X173]:(![X174]:(((~midp(X174,X170,X171)|~para(X170,X172,X171,X173))|~para(X170,X173,X171,X172))|midp(X174,X172,X173))))))),inference(variable_rename,[status(thm)],[c193])).
% 26.29/26.52 cnf(c195,plain,~midp(X940,X942,X943)|~para(X942,X941,X943,X944)|~para(X942,X944,X943,X941)|midp(X940,X941,X944),inference(split_conjunct,[status(thm)],[c194])).
% 26.29/26.52 cnf(c1151,plain,~midp(X2313,X2314,X2311)|~para(X2314,X2312,X2311,X2312)|midp(X2313,X2312,X2312),inference(factor,[status(thm)],[c195])).
% 26.29/26.52 cnf(c4660,plain,~midp(X3607,X3606,X3606)|midp(X3607,X3605,X3605),inference(resolution,[status(thm)],[c4633, c1151])).
% 26.29/26.52 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD14)).
% 26.29/26.52 fof(c363,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD14])).
% 26.29/26.52 fof(c364,plain,(![X469]:(![X470]:(![X471]:(![X472]:(~cyclic(X469,X470,X471,X472)|cyclic(X469,X470,X472,X471)))))),inference(variable_rename,[status(thm)],[c363])).
% 26.29/26.52 cnf(c365,plain,~cyclic(X694,X696,X695,X693)|cyclic(X694,X696,X693,X695),inference(split_conjunct,[status(thm)],[c364])).
% 26.29/26.52 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD15)).
% 26.29/26.52 fof(c360,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,[status(thm)],[ruleD15])).
% 26.29/26.52 fof(c361,plain,(![X465]:(![X466]:(![X467]:(![X468]:(~cyclic(X465,X466,X467,X468)|cyclic(X465,X467,X466,X468)))))),inference(variable_rename,[status(thm)],[c360])).
% 26.29/26.52 cnf(c362,plain,~cyclic(X683,X685,X686,X684)|cyclic(X683,X686,X685,X684),inference(split_conjunct,[status(thm)],[c361])).
% 26.29/26.52 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)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD42b)).
% 26.29/26.52 fof(c269,plain,(![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])).
% 26.29/26.52 fof(c270,plain,(![X276]:(![X277]:(![X278]:(![X279]:((~eqangle(X278,X276,X278,X277,X279,X276,X279,X277)|~coll(X278,X279,X277))|cyclic(X276,X277,X278,X279)))))),inference(variable_rename,[status(thm)],[c269])).
% 26.29/26.52 cnf(c271,plain,~eqangle(X1055,X1058,X1055,X1056,X1057,X1058,X1057,X1056)|~coll(X1055,X1057,X1056)|cyclic(X1058,X1056,X1055,X1057),inference(split_conjunct,[status(thm)],[c270])).
% 26.29/26.52 cnf(c4651,plain,eqangle(X3598,X3599,X3596,X3597,X3598,X3599,X3596,X3597),inference(resolution,[status(thm)],[c4633, c283])).
% 26.29/26.52 cnf(c8829,plain,~coll(X4088,X4088,X4090)|cyclic(X4089,X4090,X4088,X4088),inference(resolution,[status(thm)],[c4651, c271])).
% 26.29/26.52 cnf(c9434,plain,cyclic(X4091,X4093,X4092,X4092),inference(resolution,[status(thm)],[c8829, c9062])).
% 26.29/26.52 cnf(c9442,plain,cyclic(X4104,X4105,X4103,X4105),inference(resolution,[status(thm)],[c9434, c362])).
% 26.29/26.52 cnf(c9445,plain,cyclic(X4108,X4107,X4107,X4106),inference(resolution,[status(thm)],[c9442, c365])).
% 26.29/26.52 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)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD43)).
% 26.29/26.52 fof(c264,plain,(![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])).
% 26.29/26.52 fof(c265,plain,(![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)],[c264])).
% 26.29/26.52 fof(c267,plain,(![X270]:(![X271]:(![X272]:(![X273]:(![X274]:(![X275]:((((~cyclic(X270,X271,X272,X273)|~cyclic(X270,X271,X272,X274))|~cyclic(X270,X271,X272,X275))|~eqangle(X272,X270,X272,X271,X275,X273,X275,X274))|cong(X270,X271,X273,X274)))))))),inference(shift_quantors,[status(thm)],[fof(c266,plain,(![X270]:(![X271]:(![X272]:(![X273]:(![X274]:((![X275]:(((~cyclic(X270,X271,X272,X273)|~cyclic(X270,X271,X272,X274))|~cyclic(X270,X271,X272,X275))|~eqangle(X272,X270,X272,X271,X275,X273,X275,X274)))|cong(X270,X271,X273,X274))))))),inference(variable_rename,[status(thm)],[c265])).])).
% 26.29/26.52 cnf(c268,plain,~cyclic(X1052,X1051,X1049,X1050)|~cyclic(X1052,X1051,X1049,X1053)|~cyclic(X1052,X1051,X1049,X1048)|~eqangle(X1049,X1052,X1049,X1051,X1048,X1050,X1048,X1053)|cong(X1052,X1051,X1050,X1053),inference(split_conjunct,[status(thm)],[c267])).
% 26.29/26.52 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)))))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD20)).
% 26.29/26.52 fof(c345,plain,(![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])).
% 26.29/26.52 fof(c346,plain,(![X432]:(![X433]:(![X434]:(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(~eqangle(X432,X433,X434,X435,X436,X437,X438,X439)|eqangle(X436,X437,X438,X439,X432,X433,X434,X435)))))))))),inference(variable_rename,[status(thm)],[c345])).
% 26.29/26.52 cnf(c347,plain,~eqangle(X1226,X1229,X1222,X1228,X1224,X1223,X1225,X1227)|eqangle(X1224,X1223,X1225,X1227,X1226,X1229,X1222,X1228),inference(split_conjunct,[status(thm)],[c346])).
% 26.29/26.52 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)))))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD21)).
% 26.29/26.52 fof(c342,plain,(![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])).
% 26.29/26.52 fof(c343,plain,(![X424]:(![X425]:(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(~eqangle(X424,X425,X426,X427,X428,X429,X430,X431)|eqangle(X424,X425,X428,X429,X426,X427,X430,X431)))))))))),inference(variable_rename,[status(thm)],[c342])).
% 26.29/26.52 cnf(c344,plain,~eqangle(X1219,X1214,X1217,X1221,X1218,X1215,X1216,X1220)|eqangle(X1219,X1214,X1218,X1215,X1217,X1221,X1216,X1220),inference(split_conjunct,[status(thm)],[c343])).
% 26.29/26.52 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD4)).
% 26.29/26.52 fof(c395,plain,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD4])).
% 26.29/26.52 fof(c396,plain,(![X515]:(![X516]:(![X517]:(![X518]:(~para(X515,X516,X517,X518)|para(X515,X516,X518,X517)))))),inference(variable_rename,[status(thm)],[c395])).
% 26.29/26.52 cnf(c397,plain,~para(X742,X741,X739,X740)|para(X742,X741,X740,X739),inference(split_conjunct,[status(thm)],[c396])).
% 26.29/26.52 cnf(c4668,plain,para(X2729,X2730,X2730,X2729),inference(resolution,[status(thm)],[c4633, c397])).
% 26.29/26.52 cnf(c5374,plain,eqangle(X3892,X3891,X3889,X3890,X3891,X3892,X3889,X3890),inference(resolution,[status(thm)],[c4668, c283])).
% 26.29/26.52 cnf(c9337,plain,eqangle(X3949,X3950,X3950,X3949,X3952,X3951,X3952,X3951),inference(resolution,[status(thm)],[c5374, c344])).
% 26.29/26.52 cnf(c9371,plain,eqangle(X3999,X3997,X3999,X3997,X4000,X3998,X3998,X4000),inference(resolution,[status(thm)],[c9337, c347])).
% 26.29/26.52 cnf(c9400,plain,~cyclic(X5016,X5016,X5015,X5017)|cong(X5016,X5016,X5017,X5017),inference(resolution,[status(thm)],[c9371, c268])).
% 26.29/26.52 cnf(c9951,plain,cong(X5022,X5022,X5021,X5021),inference(resolution,[status(thm)],[c9400, c9445])).
% 26.29/26.52 cnf(c9962,plain,~coll(X5079,X5079,X5079)|midp(X5079,X5079,X5079),inference(resolution,[status(thm)],[c9951, c186])).
% 26.29/26.52 cnf(c10074,plain,midp(X5080,X5080,X5080),inference(resolution,[status(thm)],[c9962, c9062])).
% 26.29/26.52 cnf(c10086,plain,midp(X5081,X5082,X5082),inference(resolution,[status(thm)],[c10074, c4660])).
% 26.29/26.52 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD52)).
% 26.29/26.52 fof(c236,plain,(![A]:(![B]:(![C]:(![M]:((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M)))))),inference(fof_nnf,[status(thm)],[ruleD52])).
% 26.29/26.52 fof(c237,plain,(![X230]:(![X231]:(![X232]:(![X233]:((~perp(X230,X231,X231,X232)|~midp(X233,X230,X232))|cong(X230,X233,X231,X233)))))),inference(variable_rename,[status(thm)],[c236])).
% 26.29/26.52 cnf(c238,plain,~perp(X995,X997,X997,X994)|~midp(X996,X995,X994)|cong(X995,X996,X997,X996),inference(split_conjunct,[status(thm)],[c237])).
% 26.29/26.52 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)))))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD74)).
% 26.29/26.52 fof(c157,plain,(![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])).
% 26.29/26.52 fof(c158,plain,(![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)],[c157])).
% 26.29/26.52 fof(c160,plain,(![X123]:(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:((~eqangle(X123,X124,X125,X126,X127,X128,X129,X130)|~perp(X127,X128,X129,X130))|perp(X123,X124,X125,X126)))))))))),inference(shift_quantors,[status(thm)],[fof(c159,plain,(![X123]:(![X124]:(![X125]:(![X126]:((![X127]:(![X128]:(![X129]:(![X130]:(~eqangle(X123,X124,X125,X126,X127,X128,X129,X130)|~perp(X127,X128,X129,X130))))))|perp(X123,X124,X125,X126)))))),inference(variable_rename,[status(thm)],[c158])).])).
% 26.29/26.52 cnf(c161,plain,~eqangle(X903,X907,X905,X904,X906,X902,X909,X908)|~perp(X906,X902,X909,X908)|perp(X903,X907,X905,X904),inference(split_conjunct,[status(thm)],[c160])).
% 26.29/26.52 cnf(c9365,plain,~perp(X4979,X4978,X4979,X4978)|perp(X4980,X4981,X4981,X4980),inference(resolution,[status(thm)],[c9337, c161])).
% 26.29/26.52 fof(ruleD56,axiom,(![A]:(![B]:(![P]:(![Q]:((cong(A,P,B,P)&cong(A,Q,B,Q))=>perp(A,B,P,Q)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD56)).
% 26.29/26.52 fof(c222,plain,(![A]:(![B]:(![P]:(![Q]:((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q)))))),inference(fof_nnf,[status(thm)],[ruleD56])).
% 26.29/26.52 fof(c223,plain,(![X214]:(![X215]:(![X216]:(![X217]:((~cong(X214,X216,X215,X216)|~cong(X214,X217,X215,X217))|perp(X214,X215,X216,X217)))))),inference(variable_rename,[status(thm)],[c222])).
% 26.29/26.52 cnf(c224,plain,~cong(X978,X979,X980,X979)|~cong(X978,X981,X980,X981)|perp(X978,X980,X979,X981),inference(split_conjunct,[status(thm)],[c223])).
% 26.29/26.52 cnf(c1154,plain,~cong(X1022,X1021,X1023,X1021)|perp(X1022,X1023,X1021,X1021),inference(factor,[status(thm)],[c224])).
% 26.29/26.52 cnf(c9957,plain,perp(X5034,X5034,X5034,X5034),inference(resolution,[status(thm)],[c9951, c1154])).
% 26.29/26.52 cnf(c9975,plain,perp(X5045,X5044,X5044,X5045),inference(resolution,[status(thm)],[c9957, c9365])).
% 26.29/26.52 cnf(c10019,plain,~midp(X5954,X5955,X5955)|cong(X5955,X5954,X5953,X5954),inference(resolution,[status(thm)],[c9975, c238])).
% 26.29/26.52 cnf(c11736,plain,cong(X5957,X5956,X5958,X5956),inference(resolution,[status(thm)],[c10019, c10086])).
% 26.29/26.52 cnf(c11744,plain,cong(X5967,X5966,X5966,X5965),inference(resolution,[status(thm)],[c11736, c338])).
% 26.29/26.52 cnf(c11776,plain,cong(X5991,X5992,X5990,X5991),inference(resolution,[status(thm)],[c11744, c335])).
% 26.29/26.52 cnf(c11820,plain,cong(X6006,X6005,X6006,X6007),inference(resolution,[status(thm)],[c11776, c338])).
% 26.29/26.52 cnf(c11830,plain,~coll(X6213,X6215,X6214)|midp(X6213,X6215,X6214),inference(resolution,[status(thm)],[c11820, c186])).
% 26.29/26.52 cnf(c12531,plain,midp(X6216,X6217,X6218),inference(resolution,[status(thm)],[c11830, c9062])).
% 26.29/26.52 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD44)).
% 26.29/26.52 fof(c261,plain,(![A]:(![B]:(![C]:(![E]:(![F]:((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))))))),inference(fof_nnf,[status(thm)],[ruleD44])).
% 26.29/26.52 fof(c262,plain,(![X265]:(![X266]:(![X267]:(![X268]:(![X269]:((~midp(X268,X265,X266)|~midp(X269,X265,X267))|para(X268,X269,X266,X267))))))),inference(variable_rename,[status(thm)],[c261])).
% 26.29/26.52 cnf(c263,plain,~midp(X1041,X1040,X1043)|~midp(X1042,X1040,X1039)|para(X1041,X1042,X1043,X1039),inference(split_conjunct,[status(thm)],[c262])).
% 26.29/26.52 cnf(c10182,plain,~midp(X9698,X9697,X9699)|para(X9698,X9696,X9699,X9697),inference(resolution,[status(thm)],[c10086, c263])).
% 26.29/26.52 cnf(c15208,plain,para(X9700,X9702,X9703,X9701),inference(resolution,[status(thm)],[c10182, c12531])).
% 26.29/26.52 fof(ruleD10,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)&perp(C,D,E,F))=>perp(A,B,E,F)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD10)).
% 26.29/26.52 fof(c377,plain,(![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])).
% 26.29/26.52 fof(c378,plain,(![X485]:(![X486]:(![X487]:(![X488]:(![X489]:(![X490]:((~para(X485,X486,X487,X488)|~perp(X487,X488,X489,X490))|perp(X485,X486,X489,X490)))))))),inference(variable_rename,[status(thm)],[c377])).
% 26.29/26.52 cnf(c379,plain,~para(X1262,X1263,X1261,X1260)|~perp(X1261,X1260,X1265,X1264)|perp(X1262,X1263,X1265,X1264),inference(split_conjunct,[status(thm)],[c378])).
% 26.29/26.52 cnf(c10005,plain,~para(X11759,X11760,X11757,X11758)|perp(X11759,X11760,X11758,X11757),inference(resolution,[status(thm)],[c9975, c379])).
% 26.29/26.52 cnf(c15935,plain,perp(X11765,X11764,X11766,X11767),inference(resolution,[status(thm)],[c10005, c15208])).
% 26.29/26.52 cnf(c15937,plain,$false,inference(resolution,[status(thm)],[c15935, c21])).
% 26.29/26.52 % SZS output end CNFRefutation
% 26.29/26.52
% 26.29/26.52 % Initial clauses : 134
% 26.29/26.52 % Processed clauses : 2110
% 26.29/26.52 % Factors computed : 122
% 26.29/26.52 % Resolvents computed: 15409
% 26.29/26.52 % Tautologies deleted: 12
% 26.29/26.52 % Forward subsumed : 5877
% 26.29/26.52 % Backward subsumed : 1964
% 26.29/26.52 % -------- CPU Time ---------
% 26.29/26.52 % User time : 26.134 s
% 26.29/26.52 % System time : 0.031 s
% 26.29/26.52 % Total time : 26.165 s
%------------------------------------------------------------------------------