TSTP Solution File: GEO578+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO578+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:22:19 EDT 2024
% Result : Theorem 3.31s 3.54s
% Output : Refutation 3.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO578+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 07:45:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 3.31/3.54 % Version: 1.5
% 3.31/3.54 % SZS status Theorem
% 3.31/3.54 % SZS output start CNFRefutation
% 3.31/3.54 fof(exemplo6GDDFULL214040,conjecture,(![A]:(![B]:(![C]:(![I]:(![E]:(((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))¶(A,B,E,I))&coll(E,A,C))=>cong(E,I,E,A))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', exemplo6GDDFULL214040)).
% 3.31/3.54 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![I]:(![E]:(((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))¶(A,B,E,I))&coll(E,A,C))=>cong(E,I,E,A)))))))),inference(assume_negation,[status(cth)],[exemplo6GDDFULL214040])).
% 3.31/3.54 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[I]:(?[E]:(((((eqangle(I,A,A,B,I,A,A,C)&eqangle(I,B,B,C,I,B,B,A))&eqangle(I,C,C,A,I,C,C,B))¶(A,B,E,I))&coll(E,A,C))&~cong(E,I,E,A))))))),inference(fof_nnf,[status(thm)],[c11])).
% 3.31/3.54 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(((((eqangle(X5,X2,X2,X3,X5,X2,X2,X4)&eqangle(X5,X3,X3,X4,X5,X3,X3,X2))&eqangle(X5,X4,X4,X2,X5,X4,X4,X3))¶(X2,X3,X6,X5))&coll(X6,X2,X4))&~cong(X6,X5,X6,X2))))))),inference(variable_rename,[status(thm)],[c12])).
% 3.31/3.54 fof(c14,negated_conjecture,(((((eqangle(skolem0004,skolem0001,skolem0001,skolem0002,skolem0004,skolem0001,skolem0001,skolem0003)&eqangle(skolem0004,skolem0002,skolem0002,skolem0003,skolem0004,skolem0002,skolem0002,skolem0001))&eqangle(skolem0004,skolem0003,skolem0003,skolem0001,skolem0004,skolem0003,skolem0003,skolem0002))¶(skolem0001,skolem0002,skolem0005,skolem0004))&coll(skolem0005,skolem0001,skolem0003))&~cong(skolem0005,skolem0004,skolem0005,skolem0001)),inference(skolemize,[status(esa)],[c13])).
% 3.31/3.54 cnf(c20,negated_conjecture,~cong(skolem0005,skolem0004,skolem0005,skolem0001),inference(split_conjunct,[status(thm)],[c14])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c335,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD23])).
% 3.31/3.54 fof(c336,plain,(![X407]:(![X408]:(![X409]:(![X410]:(~cong(X407,X408,X409,X410)|cong(X407,X408,X410,X409)))))),inference(variable_rename,[status(thm)],[c335])).
% 3.31/3.54 cnf(c337,plain,~cong(X591,X590,X588,X589)|cong(X591,X590,X589,X588),inference(split_conjunct,[status(thm)],[c336])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c332,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD24])).
% 3.31/3.54 fof(c333,plain,(![X403]:(![X404]:(![X405]:(![X406]:(~cong(X403,X404,X405,X406)|cong(X405,X406,X403,X404)))))),inference(variable_rename,[status(thm)],[c332])).
% 3.31/3.54 cnf(c334,plain,~cong(X587,X585,X584,X586)|cong(X584,X586,X587,X585),inference(split_conjunct,[status(thm)],[c333])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c283,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])).
% 3.31/3.54 fof(c284,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)],[c283])).
% 3.31/3.54 fof(c286,plain,(![X293]:(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(~eqangle(X293,X294,X297,X298,X295,X296,X297,X298)|para(X293,X294,X295,X296)))))))),inference(shift_quantors,[status(thm)],[fof(c285,plain,(![X293]:(![X294]:(![X295]:(![X296]:((![X297]:(![X298]:~eqangle(X293,X294,X297,X298,X295,X296,X297,X298)))|para(X293,X294,X295,X296)))))),inference(variable_rename,[status(thm)],[c284])).])).
% 3.31/3.54 cnf(c287,plain,~eqangle(X964,X963,X967,X966,X965,X962,X967,X966)|para(X964,X963,X965,X962),inference(split_conjunct,[status(thm)],[c286])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c278,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])).
% 3.31/3.54 fof(c279,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)],[c278])).
% 3.31/3.54 fof(c281,plain,(![X287]:(![X288]:(![X289]:(![X290]:(![X291]:(![X292]:(~para(X287,X288,X289,X290)|eqangle(X287,X288,X291,X292,X289,X290,X291,X292)))))))),inference(shift_quantors,[status(thm)],[fof(c280,plain,(![X287]:(![X288]:(![X289]:(![X290]:(~para(X287,X288,X289,X290)|(![X291]:(![X292]:eqangle(X287,X288,X291,X292,X289,X290,X291,X292)))))))),inference(variable_rename,[status(thm)],[c279])).])).
% 3.31/3.54 cnf(c282,plain,~para(X937,X936,X941,X939)|eqangle(X937,X936,X938,X940,X941,X939,X938,X940),inference(split_conjunct,[status(thm)],[c281])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c394,plain,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD4])).
% 3.31/3.54 fof(c395,plain,(![X514]:(![X515]:(![X516]:(![X517]:(~para(X514,X515,X516,X517)|para(X514,X515,X517,X516)))))),inference(variable_rename,[status(thm)],[c394])).
% 3.31/3.54 cnf(c396,plain,~para(X634,X632,X633,X635)|para(X634,X632,X635,X633),inference(split_conjunct,[status(thm)],[c395])).
% 3.31/3.54 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD5)).
% 3.31/3.54 fof(c391,plain,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD5])).
% 3.31/3.54 fof(c392,plain,(![X510]:(![X511]:(![X512]:(![X513]:(~para(X510,X511,X512,X513)|para(X512,X513,X510,X511)))))),inference(variable_rename,[status(thm)],[c391])).
% 3.31/3.54 cnf(c393,plain,~para(X623,X620,X622,X621)|para(X622,X621,X623,X620),inference(split_conjunct,[status(thm)],[c392])).
% 3.31/3.54 cnf(c18,negated_conjecture,para(skolem0001,skolem0002,skolem0005,skolem0004),inference(split_conjunct,[status(thm)],[c14])).
% 3.31/3.54 cnf(c432,plain,para(skolem0001,skolem0002,skolem0004,skolem0005),inference(resolution,[status(thm)],[c396, c18])).
% 3.31/3.54 cnf(c438,plain,para(skolem0004,skolem0005,skolem0001,skolem0002),inference(resolution,[status(thm)],[c432, c393])).
% 3.31/3.54 cnf(c442,plain,para(skolem0004,skolem0005,skolem0002,skolem0001),inference(resolution,[status(thm)],[c438, c396])).
% 3.31/3.54 cnf(c428,plain,para(skolem0005,skolem0004,skolem0001,skolem0002),inference(resolution,[status(thm)],[c393, c18])).
% 3.31/3.54 cnf(c431,plain,para(skolem0005,skolem0004,skolem0002,skolem0001),inference(resolution,[status(thm)],[c396, c428])).
% 3.31/3.54 cnf(c435,plain,para(skolem0002,skolem0001,skolem0005,skolem0004),inference(resolution,[status(thm)],[c431, c393])).
% 3.31/3.54 cnf(c439,plain,para(skolem0002,skolem0001,skolem0004,skolem0005),inference(resolution,[status(thm)],[c435, c396])).
% 3.31/3.54 cnf(c743,plain,eqangle(skolem0002,skolem0001,X958,X959,skolem0004,skolem0005,X958,X959),inference(resolution,[status(thm)],[c282, c439])).
% 3.31/3.54 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)))))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD73)).
% 3.31/3.54 fof(c161,plain,(![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])).
% 3.31/3.54 fof(c162,plain,(![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])).
% 3.31/3.54 fof(c164,plain,(![X130]:(![X131]:(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:((~eqangle(X130,X131,X132,X133,X134,X135,X136,X137)|~para(X134,X135,X136,X137))|para(X130,X131,X132,X133)))))))))),inference(shift_quantors,[status(thm)],[fof(c163,plain,(![X130]:(![X131]:(![X132]:(![X133]:((![X134]:(![X135]:(![X136]:(![X137]:(~eqangle(X130,X131,X132,X133,X134,X135,X136,X137)|~para(X134,X135,X136,X137))))))|para(X130,X131,X132,X133)))))),inference(variable_rename,[status(thm)],[c162])).])).
% 3.31/3.54 cnf(c165,plain,~eqangle(X1068,X1064,X1069,X1065,X1070,X1066,X1067,X1063)|~para(X1070,X1066,X1067,X1063)|para(X1068,X1064,X1069,X1065),inference(split_conjunct,[status(thm)],[c164])).
% 3.31/3.54 cnf(c772,plain,~para(skolem0004,skolem0005,X1078,X1077)|para(skolem0002,skolem0001,X1078,X1077),inference(resolution,[status(thm)],[c165, c743])).
% 3.31/3.54 cnf(c783,plain,para(skolem0002,skolem0001,skolem0002,skolem0001),inference(resolution,[status(thm)],[c772, c442])).
% 3.31/3.54 cnf(c785,plain,eqangle(skolem0002,skolem0001,X1274,X1275,skolem0002,skolem0001,X1274,X1275),inference(resolution,[status(thm)],[c783, c282])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c347,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])).
% 3.31/3.54 fof(c348,plain,(![X439]:(![X440]:(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(~eqangle(X439,X440,X441,X442,X443,X444,X445,X446)|eqangle(X441,X442,X439,X440,X445,X446,X443,X444)))))))))),inference(variable_rename,[status(thm)],[c347])).
% 3.31/3.54 cnf(c349,plain,~eqangle(X1289,X1286,X1291,X1293,X1290,X1288,X1292,X1287)|eqangle(X1291,X1293,X1289,X1286,X1292,X1287,X1290,X1288),inference(split_conjunct,[status(thm)],[c348])).
% 3.31/3.54 cnf(c1192,plain,eqangle(X1555,X1554,skolem0002,skolem0001,X1555,X1554,skolem0002,skolem0001),inference(resolution,[status(thm)],[c349, c785])).
% 3.31/3.54 cnf(c1592,plain,para(X1556,X1557,X1556,X1557),inference(resolution,[status(thm)],[c1192, c287])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c192,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])).
% 3.31/3.54 fof(c193,plain,(![X169]:(![X170]:(![X171]:(![X172]:(![X173]:(((~midp(X173,X169,X170)|~para(X169,X171,X170,X172))|~para(X169,X172,X170,X171))|midp(X173,X171,X172))))))),inference(variable_rename,[status(thm)],[c192])).
% 3.31/3.54 cnf(c194,plain,~midp(X1098,X1101,X1102)|~para(X1101,X1099,X1102,X1100)|~para(X1101,X1100,X1102,X1099)|midp(X1098,X1099,X1100),inference(split_conjunct,[status(thm)],[c193])).
% 3.31/3.54 cnf(c862,plain,~midp(X2986,X2985,X2984)|~para(X2985,X2987,X2984,X2987)|midp(X2986,X2987,X2987),inference(factor,[status(thm)],[c194])).
% 3.31/3.54 cnf(c3159,plain,~midp(X2990,X2992,X2992)|midp(X2990,X2991,X2991),inference(resolution,[status(thm)],[c862, c1592])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c397,plain,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,[status(thm)],[ruleD3])).
% 3.31/3.54 fof(c398,plain,(![X518]:(![X519]:(![X520]:(![X521]:((~coll(X518,X519,X520)|~coll(X518,X519,X521))|coll(X520,X521,X518)))))),inference(variable_rename,[status(thm)],[c397])).
% 3.31/3.54 cnf(c399,plain,~coll(X684,X682,X683)|~coll(X684,X682,X685)|coll(X683,X685,X684),inference(split_conjunct,[status(thm)],[c398])).
% 3.31/3.54 cnf(c451,plain,~coll(X686,X688,X687)|coll(X687,X687,X686),inference(factor,[status(thm)],[c399])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c186,plain,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD66])).
% 3.31/3.54 fof(c187,plain,(![X161]:(![X162]:(![X163]:(~para(X161,X162,X161,X163)|coll(X161,X162,X163))))),inference(variable_rename,[status(thm)],[c186])).
% 3.31/3.54 cnf(c188,plain,~para(X583,X582,X583,X581)|coll(X583,X582,X581),inference(split_conjunct,[status(thm)],[c187])).
% 3.31/3.54 cnf(c1606,plain,coll(X1560,X1561,X1561),inference(resolution,[status(thm)],[c1592, c188])).
% 3.31/3.54 cnf(c1617,plain,coll(X1563,X1563,X1562),inference(resolution,[status(thm)],[c1606, c451])).
% 3.31/3.54 cnf(c1676,plain,~coll(X1879,X1879,X1877)|coll(X1877,X1878,X1879),inference(resolution,[status(thm)],[c1617, c399])).
% 3.31/3.54 cnf(c2390,plain,coll(X1882,X1881,X1880),inference(resolution,[status(thm)],[c1676, c1617])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c183,plain,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD67])).
% 3.31/3.54 fof(c184,plain,(![X158]:(![X159]:(![X160]:((~cong(X158,X159,X158,X160)|~coll(X158,X159,X160))|midp(X158,X159,X160))))),inference(variable_rename,[status(thm)],[c183])).
% 3.31/3.54 cnf(c185,plain,~cong(X903,X904,X903,X902)|~coll(X903,X904,X902)|midp(X903,X904,X902),inference(split_conjunct,[status(thm)],[c184])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c362,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD14])).
% 3.31/3.54 fof(c363,plain,(![X468]:(![X469]:(![X470]:(![X471]:(~cyclic(X468,X469,X470,X471)|cyclic(X468,X469,X471,X470)))))),inference(variable_rename,[status(thm)],[c362])).
% 3.31/3.54 cnf(c364,plain,~cyclic(X608,X609,X610,X611)|cyclic(X608,X609,X611,X610),inference(split_conjunct,[status(thm)],[c363])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c359,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,[status(thm)],[ruleD15])).
% 3.31/3.54 fof(c360,plain,(![X464]:(![X465]:(![X466]:(![X467]:(~cyclic(X464,X465,X466,X467)|cyclic(X464,X466,X465,X467)))))),inference(variable_rename,[status(thm)],[c359])).
% 3.31/3.54 cnf(c361,plain,~cyclic(X596,X597,X598,X599)|cyclic(X596,X598,X597,X599),inference(split_conjunct,[status(thm)],[c360])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c268,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])).
% 3.31/3.54 fof(c269,plain,(![X275]:(![X276]:(![X277]:(![X278]:((~eqangle(X277,X275,X277,X276,X278,X275,X278,X276)|~coll(X277,X278,X276))|cyclic(X275,X276,X277,X278)))))),inference(variable_rename,[status(thm)],[c268])).
% 3.31/3.54 cnf(c270,plain,~eqangle(X1173,X1174,X1173,X1176,X1175,X1174,X1175,X1176)|~coll(X1173,X1175,X1176)|cyclic(X1174,X1176,X1173,X1175),inference(split_conjunct,[status(thm)],[c269])).
% 3.31/3.54 cnf(c1601,plain,eqangle(X1790,X1791,X1793,X1792,X1790,X1791,X1793,X1792),inference(resolution,[status(thm)],[c1592, c282])).
% 3.31/3.54 cnf(c2240,plain,~coll(X2120,X2120,X2121)|cyclic(X2119,X2121,X2120,X2120),inference(resolution,[status(thm)],[c1601, c270])).
% 3.31/3.54 cnf(c2535,plain,cyclic(X2122,X2124,X2123,X2123),inference(resolution,[status(thm)],[c2240, c2390])).
% 3.31/3.54 cnf(c2536,plain,cyclic(X2131,X2129,X2130,X2129),inference(resolution,[status(thm)],[c2535, c361])).
% 3.31/3.54 cnf(c2547,plain,cyclic(X2143,X2142,X2142,X2141),inference(resolution,[status(thm)],[c2536, c364])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c263,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])).
% 3.31/3.54 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(shift_quantors,[status(thm)],[c263])).
% 3.31/3.54 fof(c266,plain,(![X269]:(![X270]:(![X271]:(![X272]:(![X273]:(![X274]:((((~cyclic(X269,X270,X271,X272)|~cyclic(X269,X270,X271,X273))|~cyclic(X269,X270,X271,X274))|~eqangle(X271,X269,X271,X270,X274,X272,X274,X273))|cong(X269,X270,X272,X273)))))))),inference(shift_quantors,[status(thm)],[fof(c265,plain,(![X269]:(![X270]:(![X271]:(![X272]:(![X273]:((![X274]:(((~cyclic(X269,X270,X271,X272)|~cyclic(X269,X270,X271,X273))|~cyclic(X269,X270,X271,X274))|~eqangle(X271,X269,X271,X270,X274,X272,X274,X273)))|cong(X269,X270,X272,X273))))))),inference(variable_rename,[status(thm)],[c264])).])).
% 3.31/3.54 cnf(c267,plain,~cyclic(X1168,X1171,X1172,X1170)|~cyclic(X1168,X1171,X1172,X1169)|~cyclic(X1168,X1171,X1172,X1167)|~eqangle(X1172,X1168,X1172,X1171,X1167,X1170,X1167,X1169)|cong(X1168,X1171,X1170,X1169),inference(split_conjunct,[status(thm)],[c266])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c341,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])).
% 3.31/3.54 fof(c342,plain,(![X423]:(![X424]:(![X425]:(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(~eqangle(X423,X424,X425,X426,X427,X428,X429,X430)|eqangle(X423,X424,X427,X428,X425,X426,X429,X430)))))))))),inference(variable_rename,[status(thm)],[c341])).
% 3.31/3.54 cnf(c343,plain,~eqangle(X1264,X1269,X1268,X1267,X1271,X1265,X1270,X1266)|eqangle(X1264,X1269,X1271,X1265,X1268,X1267,X1270,X1266),inference(split_conjunct,[status(thm)],[c342])).
% 3.31/3.54 cnf(c1614,plain,para(X1580,X1581,X1581,X1580),inference(resolution,[status(thm)],[c1592, c396])).
% 3.31/3.54 cnf(c1757,plain,eqangle(X1939,X1938,X1941,X1940,X1938,X1939,X1941,X1940),inference(resolution,[status(thm)],[c1614, c282])).
% 3.31/3.54 cnf(c2435,plain,eqangle(X1975,X1976,X1974,X1977,X1975,X1976,X1977,X1974),inference(resolution,[status(thm)],[c1757, c349])).
% 3.31/3.54 cnf(c2468,plain,eqangle(X2022,X2024,X2022,X2024,X2025,X2023,X2023,X2025),inference(resolution,[status(thm)],[c2435, c343])).
% 3.31/3.54 cnf(c2501,plain,~cyclic(X3006,X3006,X3005,X3007)|cong(X3006,X3006,X3007,X3007),inference(resolution,[status(thm)],[c2468, c267])).
% 3.31/3.54 cnf(c3160,plain,cong(X3008,X3008,X3009,X3009),inference(resolution,[status(thm)],[c2501, c2547])).
% 3.31/3.54 cnf(c3170,plain,~coll(X3053,X3053,X3053)|midp(X3053,X3053,X3053),inference(resolution,[status(thm)],[c3160, c185])).
% 3.31/3.54 cnf(c3264,plain,midp(X3054,X3054,X3054),inference(resolution,[status(thm)],[c3170, c2390])).
% 3.31/3.54 cnf(c3280,plain,midp(X3057,X3058,X3058),inference(resolution,[status(thm)],[c3264, c3159])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c235,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])).
% 3.31/3.54 fof(c236,plain,(![X229]:(![X230]:(![X231]:(![X232]:((~perp(X229,X230,X230,X231)|~midp(X232,X229,X231))|cong(X229,X232,X230,X232)))))),inference(variable_rename,[status(thm)],[c235])).
% 3.31/3.54 cnf(c237,plain,~perp(X1040,X1039,X1039,X1041)|~midp(X1038,X1040,X1041)|cong(X1040,X1038,X1039,X1038),inference(split_conjunct,[status(thm)],[c236])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c156,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])).
% 3.31/3.54 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(shift_quantors,[status(thm)],[c156])).
% 3.31/3.54 fof(c159,plain,(![X122]:(![X123]:(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:((~eqangle(X122,X123,X124,X125,X126,X127,X128,X129)|~perp(X126,X127,X128,X129))|perp(X122,X123,X124,X125)))))))))),inference(shift_quantors,[status(thm)],[fof(c158,plain,(![X122]:(![X123]:(![X124]:(![X125]:((![X126]:(![X127]:(![X128]:(![X129]:(~eqangle(X122,X123,X124,X125,X126,X127,X128,X129)|~perp(X126,X127,X128,X129))))))|perp(X122,X123,X124,X125)))))),inference(variable_rename,[status(thm)],[c157])).])).
% 3.31/3.54 cnf(c160,plain,~eqangle(X1052,X1051,X1046,X1047,X1048,X1049,X1045,X1050)|~perp(X1048,X1049,X1045,X1050)|perp(X1052,X1051,X1046,X1047),inference(split_conjunct,[status(thm)],[c159])).
% 3.31/3.54 cnf(c2438,plain,eqangle(X1982,X1980,X1980,X1982,X1981,X1983,X1981,X1983),inference(resolution,[status(thm)],[c1757, c343])).
% 3.31/3.54 cnf(c2486,plain,~perp(X2996,X2993,X2996,X2993)|perp(X2994,X2995,X2995,X2994),inference(resolution,[status(thm)],[c2438, c160])).
% 3.31/3.54 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)).
% 3.31/3.54 fof(c221,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])).
% 3.31/3.54 fof(c222,plain,(![X213]:(![X214]:(![X215]:(![X216]:((~cong(X213,X215,X214,X215)|~cong(X213,X216,X214,X216))|perp(X213,X214,X215,X216)))))),inference(variable_rename,[status(thm)],[c221])).
% 3.31/3.54 cnf(c223,plain,~cong(X1133,X1132,X1134,X1132)|~cong(X1133,X1131,X1134,X1131)|perp(X1133,X1134,X1132,X1131),inference(split_conjunct,[status(thm)],[c222])).
% 3.31/3.54 cnf(c969,plain,~cong(X1263,X1261,X1262,X1261)|perp(X1263,X1262,X1261,X1261),inference(factor,[status(thm)],[c223])).
% 3.31/3.54 cnf(c3177,plain,perp(X3024,X3024,X3024,X3024),inference(resolution,[status(thm)],[c3160, c969])).
% 3.31/3.54 cnf(c3195,plain,perp(X3032,X3033,X3033,X3032),inference(resolution,[status(thm)],[c3177, c2486])).
% 3.31/3.54 cnf(c3263,plain,~midp(X3836,X3835,X3835)|cong(X3835,X3836,X3837,X3836),inference(resolution,[status(thm)],[c3195, c237])).
% 3.31/3.54 cnf(c4353,plain,cong(X3840,X3839,X3838,X3839),inference(resolution,[status(thm)],[c3263, c3280])).
% 3.31/3.54 cnf(c4363,plain,cong(X3846,X3844,X3844,X3845),inference(resolution,[status(thm)],[c4353, c337])).
% 3.31/3.54 cnf(c4371,plain,cong(X3853,X3854,X3855,X3853),inference(resolution,[status(thm)],[c4363, c334])).
% 3.31/3.54 cnf(c4411,plain,cong(X3877,X3878,X3877,X3876),inference(resolution,[status(thm)],[c4371, c337])).
% 3.31/3.54 cnf(c4435,plain,$false,inference(resolution,[status(thm)],[c4411, c20])).
% 3.31/3.54 % SZS output end CNFRefutation
% 3.31/3.54
% 3.31/3.54 % Initial clauses : 133
% 3.31/3.54 % Processed clauses : 716
% 3.31/3.54 % Factors computed : 109
% 3.31/3.54 % Resolvents computed: 3931
% 3.31/3.54 % Tautologies deleted: 11
% 3.31/3.54 % Forward subsumed : 1410
% 3.31/3.54 % Backward subsumed : 319
% 3.31/3.54 % -------- CPU Time ---------
% 3.31/3.54 % User time : 3.150 s
% 3.31/3.54 % System time : 0.022 s
% 3.31/3.54 % Total time : 3.172 s
%------------------------------------------------------------------------------