TSTP Solution File: GEO558+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 17:22:16 EDT 2024
% Result : Theorem 107.35s 107.53s
% Output : Refutation 107.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 : 300
% 0.13/0.34 % DateTime : Thu May 9 08:33:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 107.35/107.53 % Version: 1.5
% 107.35/107.53 % SZS status Theorem
% 107.35/107.53 % SZS output start CNFRefutation
% 107.35/107.53 fof(exemplo6GDDFULL012018,conjecture,(![A]:(![C]:(![K]:(![O]:(![N]:(![B]:(![G]:(![O1]:(![M]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:((((((((circle(O,A,C,K)&circle(O,A,N,NWPNT1))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B))&circle(O1,K,N,B))&circle(G,A,M,NWPNT2))&circle(O1,K,M,NWPNT3))=>perp(B,M,M,O)))))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exemplo6GDDFULL012018)).
% 107.35/107.53 fof(c11,negated_conjecture,(~(![A]:(![C]:(![K]:(![O]:(![N]:(![B]:(![G]:(![O1]:(![M]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:((((((((circle(O,A,C,K)&circle(O,A,N,NWPNT1))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B))&circle(O1,K,N,B))&circle(G,A,M,NWPNT2))&circle(O1,K,M,NWPNT3))=>perp(B,M,M,O))))))))))))))),inference(assume_negation,[status(cth)],[exemplo6GDDFULL012018])).
% 107.35/107.53 fof(c12,negated_conjecture,(?[A]:(?[C]:(?[K]:(?[O]:(?[N]:(?[B]:(?[G]:(?[O1]:(?[M]:(?[NWPNT1]:(?[NWPNT2]:(?[NWPNT3]:((((((((circle(O,A,C,K)&circle(O,A,N,NWPNT1))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B))&circle(O1,K,N,B))&circle(G,A,M,NWPNT2))&circle(O1,K,M,NWPNT3))&~perp(B,M,M,O)))))))))))))),inference(fof_nnf,[status(thm)],[c11])).
% 107.35/107.53 fof(c13,negated_conjecture,(?[A]:(?[C]:(?[K]:(?[O]:(?[N]:(?[B]:(?[G]:(?[O1]:(?[M]:((((((((circle(O,A,C,K)&(?[NWPNT1]:circle(O,A,N,NWPNT1)))&coll(B,A,K))&coll(B,C,N))&circle(G,A,C,B))&circle(O1,K,N,B))&(?[NWPNT2]:circle(G,A,M,NWPNT2)))&(?[NWPNT3]:circle(O1,K,M,NWPNT3)))&~perp(B,M,M,O))))))))))),inference(shift_quantors,[status(thm)],[c12])).
% 107.35/107.53 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:(?[X10]:((((((((circle(X5,X2,X3,X4)&(?[X11]:circle(X5,X2,X6,X11)))&coll(X7,X2,X4))&coll(X7,X3,X6))&circle(X8,X2,X3,X7))&circle(X9,X4,X6,X7))&(?[X12]:circle(X8,X2,X10,X12)))&(?[X13]:circle(X9,X4,X10,X13)))&~perp(X7,X10,X10,X5))))))))))),inference(variable_rename,[status(thm)],[c13])).
% 107.35/107.53 fof(c15,negated_conjecture,((((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&circle(skolem0004,skolem0001,skolem0005,skolem0010))&coll(skolem0006,skolem0001,skolem0003))&coll(skolem0006,skolem0002,skolem0005))&circle(skolem0007,skolem0001,skolem0002,skolem0006))&circle(skolem0008,skolem0003,skolem0005,skolem0006))&circle(skolem0007,skolem0001,skolem0009,skolem0011))&circle(skolem0008,skolem0003,skolem0009,skolem0012))&~perp(skolem0006,skolem0009,skolem0009,skolem0004)),inference(skolemize,[status(esa)],[c14])).
% 107.35/107.53 cnf(c24,negated_conjecture,~perp(skolem0006,skolem0009,skolem0009,skolem0004),inference(split_conjunct,[status(thm)],[c15])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD74)).
% 107.35/107.53 fof(c160,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])).
% 107.35/107.53 fof(c161,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)],[c160])).
% 107.35/107.53 fof(c163,plain,(![X129]:(![X130]:(![X131]:(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:((~eqangle(X129,X130,X131,X132,X133,X134,X135,X136)|~perp(X133,X134,X135,X136))|perp(X129,X130,X131,X132)))))))))),inference(shift_quantors,[status(thm)],[fof(c162,plain,(![X129]:(![X130]:(![X131]:(![X132]:((![X133]:(![X134]:(![X135]:(![X136]:(~eqangle(X129,X130,X131,X132,X133,X134,X135,X136)|~perp(X133,X134,X135,X136))))))|perp(X129,X130,X131,X132)))))),inference(variable_rename,[status(thm)],[c161])).])).
% 107.35/107.53 cnf(c164,plain,~eqangle(X929,X930,X927,X925,X928,X926,X923,X924)|~perp(X928,X926,X923,X924)|perp(X929,X930,X927,X925),inference(split_conjunct,[status(thm)],[c163])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD40)).
% 107.35/107.53 fof(c282,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])).
% 107.35/107.53 fof(c283,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)],[c282])).
% 107.35/107.53 fof(c285,plain,(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(~para(X294,X295,X296,X297)|eqangle(X294,X295,X298,X299,X296,X297,X298,X299)))))))),inference(shift_quantors,[status(thm)],[fof(c284,plain,(![X294]:(![X295]:(![X296]:(![X297]:(~para(X294,X295,X296,X297)|(![X298]:(![X299]:eqangle(X294,X295,X298,X299,X296,X297,X298,X299)))))))),inference(variable_rename,[status(thm)],[c283])).])).
% 107.35/107.53 cnf(c286,plain,~para(X1073,X1074,X1078,X1076)|eqangle(X1073,X1074,X1077,X1075,X1078,X1076,X1077,X1075),inference(split_conjunct,[status(thm)],[c285])).
% 107.35/107.53 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD4)).
% 107.35/107.53 fof(c398,plain,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD4])).
% 107.35/107.53 fof(c399,plain,(![X521]:(![X522]:(![X523]:(![X524]:(~para(X521,X522,X523,X524)|para(X521,X522,X524,X523)))))),inference(variable_rename,[status(thm)],[c398])).
% 107.35/107.53 cnf(c400,plain,~para(X681,X682,X680,X679)|para(X681,X682,X679,X680),inference(split_conjunct,[status(thm)],[c399])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD39)).
% 107.35/107.53 fof(c287,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])).
% 107.35/107.53 fof(c288,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)],[c287])).
% 107.35/107.53 fof(c290,plain,(![X300]:(![X301]:(![X302]:(![X303]:(![X304]:(![X305]:(~eqangle(X300,X301,X304,X305,X302,X303,X304,X305)|para(X300,X301,X302,X303)))))))),inference(shift_quantors,[status(thm)],[fof(c289,plain,(![X300]:(![X301]:(![X302]:(![X303]:((![X304]:(![X305]:~eqangle(X300,X301,X304,X305,X302,X303,X304,X305)))|para(X300,X301,X302,X303)))))),inference(variable_rename,[status(thm)],[c288])).])).
% 107.35/107.53 cnf(c291,plain,~eqangle(X1080,X1079,X1081,X1084,X1083,X1082,X1081,X1084)|para(X1080,X1079,X1083,X1082),inference(split_conjunct,[status(thm)],[c290])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD19)).
% 107.35/107.53 fof(c351,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])).
% 107.35/107.53 fof(c352,plain,(![X446]:(![X447]:(![X448]:(![X449]:(![X450]:(![X451]:(![X452]:(![X453]:(~eqangle(X446,X447,X448,X449,X450,X451,X452,X453)|eqangle(X448,X449,X446,X447,X452,X453,X450,X451)))))))))),inference(variable_rename,[status(thm)],[c351])).
% 107.35/107.53 cnf(c353,plain,~eqangle(X1234,X1231,X1236,X1229,X1235,X1232,X1230,X1233)|eqangle(X1236,X1229,X1234,X1231,X1230,X1233,X1235,X1232),inference(split_conjunct,[status(thm)],[c352])).
% 107.35/107.53 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD8)).
% 107.35/107.53 fof(c386,plain,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD8])).
% 107.35/107.53 fof(c387,plain,(![X503]:(![X504]:(![X505]:(![X506]:(~perp(X503,X504,X505,X506)|perp(X505,X506,X503,X504)))))),inference(variable_rename,[status(thm)],[c386])).
% 107.35/107.53 cnf(c388,plain,~perp(X651,X653,X654,X652)|perp(X654,X652,X651,X653),inference(split_conjunct,[status(thm)],[c387])).
% 107.35/107.53 cnf(c20,negated_conjecture,circle(skolem0007,skolem0001,skolem0002,skolem0006),inference(split_conjunct,[status(thm)],[c15])).
% 107.35/107.53 fof(ruleX11,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(circle(O,A,B,C)=>perp(P,A,A,O))))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleX11)).
% 107.35/107.53 fof(c73,plain,(![A]:(![B]:(![C]:(![O]:(?[P]:(~circle(O,A,B,C)|perp(P,A,A,O))))))),inference(fof_nnf,[status(thm)],[ruleX11])).
% 107.35/107.53 fof(c74,plain,(![A]:(![B]:(![C]:(![O]:(~circle(O,A,B,C)|(?[P]:perp(P,A,A,O))))))),inference(shift_quantors,[status(thm)],[c73])).
% 107.35/107.53 fof(c75,plain,(![X56]:(![X57]:(![X58]:(![X59]:(~circle(X59,X56,X57,X58)|(?[X60]:perp(X60,X56,X56,X59))))))),inference(variable_rename,[status(thm)],[c74])).
% 107.35/107.53 fof(c76,plain,(![X56]:(![X57]:(![X58]:(![X59]:(~circle(X59,X56,X57,X58)|perp(skolem0021(X56,X57,X58,X59),X56,X56,X59)))))),inference(skolemize,[status(esa)],[c75])).
% 107.35/107.53 cnf(c77,plain,~circle(X789,X786,X787,X788)|perp(skolem0021(X786,X787,X788,X789),X786,X786,X789),inference(split_conjunct,[status(thm)],[c76])).
% 107.35/107.53 cnf(c670,plain,perp(skolem0021(skolem0001,skolem0002,skolem0006,skolem0007),skolem0001,skolem0001,skolem0007),inference(resolution,[status(thm)],[c77, c20])).
% 107.35/107.53 cnf(c1678,plain,perp(skolem0001,skolem0007,skolem0021(skolem0001,skolem0002,skolem0006,skolem0007),skolem0001),inference(resolution,[status(thm)],[c670, c388])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD9)).
% 107.35/107.53 fof(c383,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])).
% 107.35/107.53 fof(c384,plain,(![X497]:(![X498]:(![X499]:(![X500]:(![X501]:(![X502]:((~perp(X497,X498,X499,X500)|~perp(X499,X500,X501,X502))|para(X497,X498,X501,X502)))))))),inference(variable_rename,[status(thm)],[c383])).
% 107.35/107.53 cnf(c385,plain,~perp(X1282,X1281,X1279,X1277)|~perp(X1279,X1277,X1280,X1278)|para(X1282,X1281,X1280,X1278),inference(split_conjunct,[status(thm)],[c384])).
% 107.35/107.53 cnf(c1673,plain,~perp(X2864,X2865,skolem0021(skolem0001,skolem0002,skolem0006,skolem0007),skolem0001)|para(X2864,X2865,skolem0001,skolem0007),inference(resolution,[status(thm)],[c670, c385])).
% 107.35/107.53 cnf(c4472,plain,para(skolem0001,skolem0007,skolem0001,skolem0007),inference(resolution,[status(thm)],[c1673, c1678])).
% 107.35/107.53 cnf(c4496,plain,eqangle(skolem0001,skolem0007,X3964,X3963,skolem0001,skolem0007,X3964,X3963),inference(resolution,[status(thm)],[c4472, c286])).
% 107.35/107.53 cnf(c8777,plain,eqangle(X5332,X5331,skolem0001,skolem0007,X5332,X5331,skolem0001,skolem0007),inference(resolution,[status(thm)],[c4496, c353])).
% 107.35/107.53 cnf(c12249,plain,para(X5335,X5336,X5335,X5336),inference(resolution,[status(thm)],[c8777, c291])).
% 107.35/107.53 cnf(c12266,plain,para(X5354,X5353,X5353,X5354),inference(resolution,[status(thm)],[c12249, c400])).
% 107.35/107.53 cnf(c13540,plain,eqangle(X7633,X7634,X7635,X7632,X7634,X7633,X7635,X7632),inference(resolution,[status(thm)],[c12266, c286])).
% 107.35/107.53 cnf(c20752,plain,~perp(X8771,X8772,X8769,X8770)|perp(X8772,X8771,X8769,X8770),inference(resolution,[status(thm)],[c13540, c164])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD56)).
% 107.35/107.53 fof(c225,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])).
% 107.35/107.53 fof(c226,plain,(![X220]:(![X221]:(![X222]:(![X223]:((~cong(X220,X222,X221,X222)|~cong(X220,X223,X221,X223))|perp(X220,X221,X222,X223)))))),inference(variable_rename,[status(thm)],[c225])).
% 107.35/107.53 cnf(c227,plain,~cong(X999,X1000,X1002,X1000)|~cong(X999,X1001,X1002,X1001)|perp(X999,X1002,X1000,X1001),inference(split_conjunct,[status(thm)],[c226])).
% 107.35/107.53 cnf(c1019,plain,~cong(X1216,X1215,X1217,X1215)|perp(X1216,X1217,X1215,X1215),inference(factor,[status(thm)],[c227])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD64)).
% 107.35/107.53 fof(c196,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])).
% 107.35/107.53 fof(c197,plain,(![X176]:(![X177]:(![X178]:(![X179]:(![X180]:(((~midp(X180,X176,X177)|~para(X176,X178,X177,X179))|~para(X176,X179,X177,X178))|midp(X180,X178,X179))))))),inference(variable_rename,[status(thm)],[c196])).
% 107.35/107.53 cnf(c198,plain,~midp(X961,X965,X963)|~para(X965,X964,X963,X962)|~para(X965,X962,X963,X964)|midp(X961,X964,X962),inference(split_conjunct,[status(thm)],[c197])).
% 107.35/107.53 cnf(c942,plain,~midp(X2016,X2014,X2015)|~para(X2014,X2013,X2015,X2013)|midp(X2016,X2013,X2013),inference(factor,[status(thm)],[c198])).
% 107.35/107.53 cnf(c12278,plain,~midp(X7157,X7158,X7158)|midp(X7157,X7156,X7156),inference(resolution,[status(thm)],[c12249, c942])).
% 107.35/107.53 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD3)).
% 107.35/107.53 fof(c401,plain,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,[status(thm)],[ruleD3])).
% 107.35/107.53 fof(c402,plain,(![X525]:(![X526]:(![X527]:(![X528]:((~coll(X525,X526,X527)|~coll(X525,X526,X528))|coll(X527,X528,X525)))))),inference(variable_rename,[status(thm)],[c401])).
% 107.35/107.53 cnf(c403,plain,~coll(X692,X689,X691)|~coll(X692,X689,X690)|coll(X691,X690,X692),inference(split_conjunct,[status(thm)],[c402])).
% 107.35/107.53 cnf(c455,plain,~coll(X705,X706,X707)|coll(X707,X707,X705),inference(factor,[status(thm)],[c403])).
% 107.35/107.53 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD66)).
% 107.35/107.53 fof(c190,plain,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD66])).
% 107.35/107.53 fof(c191,plain,(![X168]:(![X169]:(![X170]:(~para(X168,X169,X168,X170)|coll(X168,X169,X170))))),inference(variable_rename,[status(thm)],[c190])).
% 107.35/107.53 cnf(c192,plain,~para(X613,X614,X613,X612)|coll(X613,X614,X612),inference(split_conjunct,[status(thm)],[c191])).
% 107.35/107.53 cnf(c12297,plain,coll(X5337,X5338,X5338),inference(resolution,[status(thm)],[c12249, c192])).
% 107.35/107.53 cnf(c12465,plain,coll(X5339,X5339,X5340),inference(resolution,[status(thm)],[c12297, c455])).
% 107.35/107.53 cnf(c12849,plain,~coll(X7440,X7440,X7441)|coll(X7441,X7439,X7440),inference(resolution,[status(thm)],[c12465, c403])).
% 107.35/107.53 cnf(c20478,plain,coll(X7452,X7450,X7451),inference(resolution,[status(thm)],[c12849, c12465])).
% 107.35/107.53 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD67)).
% 107.35/107.53 fof(c187,plain,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD67])).
% 107.35/107.53 fof(c188,plain,(![X165]:(![X166]:(![X167]:((~cong(X165,X166,X165,X167)|~coll(X165,X166,X167))|midp(X165,X166,X167))))),inference(variable_rename,[status(thm)],[c187])).
% 107.35/107.53 cnf(c189,plain,~cong(X955,X954,X955,X953)|~coll(X955,X954,X953)|midp(X955,X954,X953),inference(split_conjunct,[status(thm)],[c188])).
% 107.35/107.53 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD15)).
% 107.35/107.53 fof(c363,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,[status(thm)],[ruleD15])).
% 107.35/107.53 fof(c364,plain,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X473,X472,X474)))))),inference(variable_rename,[status(thm)],[c363])).
% 107.35/107.53 cnf(c365,plain,~cyclic(X643,X646,X644,X645)|cyclic(X643,X644,X646,X645),inference(split_conjunct,[status(thm)],[c364])).
% 107.35/107.53 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD42b)).
% 107.35/107.53 fof(c272,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])).
% 107.35/107.53 fof(c273,plain,(![X282]:(![X283]:(![X284]:(![X285]:((~eqangle(X284,X282,X284,X283,X285,X282,X285,X283)|~coll(X284,X285,X283))|cyclic(X282,X283,X284,X285)))))),inference(variable_rename,[status(thm)],[c272])).
% 107.35/107.53 cnf(c274,plain,~eqangle(X1062,X1061,X1062,X1063,X1064,X1061,X1064,X1063)|~coll(X1062,X1064,X1063)|cyclic(X1061,X1063,X1062,X1064),inference(split_conjunct,[status(thm)],[c273])).
% 107.35/107.53 cnf(c12295,plain,eqangle(X7161,X7160,X7162,X7159,X7161,X7160,X7162,X7159),inference(resolution,[status(thm)],[c12249, c286])).
% 107.35/107.53 cnf(c20129,plain,~coll(X7843,X7843,X7844)|cyclic(X7845,X7844,X7843,X7843),inference(resolution,[status(thm)],[c12295, c274])).
% 107.35/107.53 cnf(c21103,plain,cyclic(X7848,X7847,X7846,X7846),inference(resolution,[status(thm)],[c20129, c20478])).
% 107.35/107.53 cnf(c21109,plain,cyclic(X7858,X7860,X7859,X7860),inference(resolution,[status(thm)],[c21103, c365])).
% 107.35/107.54 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD43)).
% 107.35/107.54 fof(c267,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])).
% 107.35/107.54 fof(c268,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)],[c267])).
% 107.35/107.54 fof(c270,plain,(![X276]:(![X277]:(![X278]:(![X279]:(![X280]:(![X281]:((((~cyclic(X276,X277,X278,X279)|~cyclic(X276,X277,X278,X280))|~cyclic(X276,X277,X278,X281))|~eqangle(X278,X276,X278,X277,X281,X279,X281,X280))|cong(X276,X277,X279,X280)))))))),inference(shift_quantors,[status(thm)],[fof(c269,plain,(![X276]:(![X277]:(![X278]:(![X279]:(![X280]:((![X281]:(((~cyclic(X276,X277,X278,X279)|~cyclic(X276,X277,X278,X280))|~cyclic(X276,X277,X278,X281))|~eqangle(X278,X276,X278,X277,X281,X279,X281,X280)))|cong(X276,X277,X279,X280))))))),inference(variable_rename,[status(thm)],[c268])).])).
% 107.35/107.54 cnf(c271,plain,~cyclic(X1056,X1058,X1059,X1060)|~cyclic(X1056,X1058,X1059,X1055)|~cyclic(X1056,X1058,X1059,X1057)|~eqangle(X1059,X1056,X1059,X1058,X1057,X1060,X1057,X1055)|cong(X1056,X1058,X1060,X1055),inference(split_conjunct,[status(thm)],[c270])).
% 107.35/107.54 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD21)).
% 107.35/107.54 fof(c345,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])).
% 107.35/107.54 fof(c346,plain,(![X430]:(![X431]:(![X432]:(![X433]:(![X434]:(![X435]:(![X436]:(![X437]:(~eqangle(X430,X431,X432,X433,X434,X435,X436,X437)|eqangle(X430,X431,X434,X435,X432,X433,X436,X437)))))))))),inference(variable_rename,[status(thm)],[c345])).
% 107.35/107.54 cnf(c347,plain,~eqangle(X1203,X1204,X1207,X1208,X1206,X1201,X1205,X1202)|eqangle(X1203,X1204,X1206,X1201,X1207,X1208,X1205,X1202),inference(split_conjunct,[status(thm)],[c346])).
% 107.35/107.54 cnf(c20758,plain,eqangle(X7674,X7673,X7675,X7676,X7674,X7673,X7676,X7675),inference(resolution,[status(thm)],[c13540, c353])).
% 107.35/107.54 cnf(c20838,plain,eqangle(X7728,X7729,X7728,X7729,X7727,X7726,X7726,X7727),inference(resolution,[status(thm)],[c20758, c347])).
% 107.35/107.54 cnf(c20927,plain,~cyclic(X8913,X8913,X8915,X8914)|cong(X8913,X8913,X8914,X8914),inference(resolution,[status(thm)],[c20838, c271])).
% 107.35/107.54 cnf(c21830,plain,cong(X8916,X8916,X8916,X8916),inference(resolution,[status(thm)],[c20927, c21109])).
% 107.35/107.54 cnf(c21854,plain,~coll(X8981,X8981,X8981)|midp(X8981,X8981,X8981),inference(resolution,[status(thm)],[c21830, c189])).
% 107.35/107.54 cnf(c22048,plain,midp(X8982,X8982,X8982),inference(resolution,[status(thm)],[c21854, c20478])).
% 107.35/107.54 cnf(c22213,plain,midp(X8984,X8983,X8983),inference(resolution,[status(thm)],[c22048, c12278])).
% 107.35/107.54 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD52)).
% 107.35/107.54 fof(c239,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])).
% 107.35/107.54 fof(c240,plain,(![X236]:(![X237]:(![X238]:(![X239]:((~perp(X236,X237,X237,X238)|~midp(X239,X236,X238))|cong(X236,X239,X237,X239)))))),inference(variable_rename,[status(thm)],[c239])).
% 107.35/107.54 cnf(c241,plain,~perp(X1016,X1017,X1017,X1015)|~midp(X1018,X1016,X1015)|cong(X1016,X1018,X1017,X1018),inference(split_conjunct,[status(thm)],[c240])).
% 107.35/107.54 cnf(c20764,plain,eqangle(X7683,X7681,X7681,X7683,X7682,X7684,X7682,X7684),inference(resolution,[status(thm)],[c13540, c347])).
% 107.35/107.54 cnf(c20840,plain,~perp(X8846,X8844,X8846,X8844)|perp(X8845,X8843,X8843,X8845),inference(resolution,[status(thm)],[c20764, c164])).
% 107.35/107.54 cnf(c21838,plain,perp(X8928,X8928,X8928,X8928),inference(resolution,[status(thm)],[c21830, c1019])).
% 107.35/107.54 cnf(c21908,plain,perp(X8945,X8944,X8944,X8945),inference(resolution,[status(thm)],[c21838, c20840])).
% 107.35/107.54 cnf(c22022,plain,~midp(X9673,X9671,X9671)|cong(X9671,X9673,X9672,X9673),inference(resolution,[status(thm)],[c21908, c241])).
% 107.35/107.54 cnf(c24643,plain,cong(X9676,X9675,X9674,X9675),inference(resolution,[status(thm)],[c22022, c22213])).
% 107.35/107.54 cnf(c24646,plain,perp(X9679,X9678,X9680,X9680),inference(resolution,[status(thm)],[c24643, c1019])).
% 107.35/107.54 fof(ruleD41,axiom,(![A]:(![B]:(![P]:(![Q]:(cyclic(A,B,P,Q)=>eqangle(P,A,P,B,Q,A,Q,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD41)).
% 107.35/107.54 fof(c279,plain,(![A]:(![B]:(![P]:(![Q]:(~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B)))))),inference(fof_nnf,[status(thm)],[ruleD41])).
% 107.35/107.54 fof(c280,plain,(![X290]:(![X291]:(![X292]:(![X293]:(~cyclic(X290,X291,X292,X293)|eqangle(X292,X290,X292,X291,X293,X290,X293,X291)))))),inference(variable_rename,[status(thm)],[c279])).
% 107.35/107.54 cnf(c281,plain,~cyclic(X1072,X1070,X1071,X1069)|eqangle(X1071,X1072,X1071,X1070,X1069,X1072,X1069,X1070),inference(split_conjunct,[status(thm)],[c280])).
% 107.35/107.54 cnf(c21119,plain,eqangle(X7919,X7920,X7919,X7921,X7921,X7920,X7921,X7921),inference(resolution,[status(thm)],[c21109, c281])).
% 107.35/107.54 cnf(c21154,plain,~perp(X14679,X14680,X14679,X14679)|perp(X14678,X14680,X14678,X14679),inference(resolution,[status(thm)],[c21119, c164])).
% 107.35/107.54 cnf(c31044,plain,perp(X14681,X14683,X14681,X14682),inference(resolution,[status(thm)],[c21154, c24646])).
% 107.35/107.54 cnf(c31064,plain,perp(X14704,X14702,X14702,X14703),inference(resolution,[status(thm)],[c31044, c20752])).
% 107.35/107.54 cnf(c31107,plain,$false,inference(resolution,[status(thm)],[c31064, c24])).
% 107.35/107.54 % SZS output end CNFRefutation
% 107.35/107.54
% 107.35/107.54 % Initial clauses : 136
% 107.35/107.54 % Processed clauses : 3994
% 107.35/107.54 % Factors computed : 173
% 107.35/107.54 % Resolvents computed: 30525
% 107.35/107.54 % Tautologies deleted: 17
% 107.35/107.54 % Forward subsumed : 10927
% 107.35/107.54 % Backward subsumed : 3629
% 107.35/107.54 % -------- CPU Time ---------
% 107.35/107.54 % User time : 107.126 s
% 107.35/107.54 % System time : 0.065 s
% 107.35/107.54 % Total time : 107.191 s
%------------------------------------------------------------------------------