%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO574+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 56.55s 56.78s
% Output : Refutation 56.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO574+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 : n009.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 08:26:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 56.55/56.78 % Version: 1.5
% 56.55/56.78 % SZS status Theorem
% 56.55/56.78 % SZS output start CNFRefutation
% 56.55/56.78 fof(exemplo6GDDFULL214036,conjecture,(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![H]:(![O1]:((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&coll(H,C,D))&coll(H,B,E))&circle(O1,A,H,B))=>eqangle(O1,A,A,B,B,A,A,O)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', exemplo6GDDFULL214036)).
% 56.55/56.78 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![H]:(![O1]:((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&coll(H,C,D))&coll(H,B,E))&circle(O1,A,H,B))=>eqangle(O1,A,A,B,B,A,A,O))))))))))),inference(assume_negation,[status(cth)],[exemplo6GDDFULL214036])).
% 56.55/56.78 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(?[H]:(?[O1]:((((((((circle(O,A,B,C)&perp(D,C,A,B))&coll(D,A,B))&perp(E,B,A,C))&coll(E,A,C))&coll(H,C,D))&coll(H,B,E))&circle(O1,A,H,B))&~eqangle(O1,A,A,B,B,A,A,O)))))))))),inference(fof_nnf,[status(thm)],[c11])).
% 56.55/56.78 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:((((((((circle(X5,X2,X3,X4)&perp(X6,X4,X2,X3))&coll(X6,X2,X3))&perp(X7,X3,X2,X4))&coll(X7,X2,X4))&coll(X8,X4,X6))&coll(X8,X3,X7))&circle(X9,X2,X8,X3))&~eqangle(X9,X2,X2,X3,X3,X2,X2,X5)))))))))),inference(variable_rename,[status(thm)],[c12])).
% 56.55/56.78 fof(c14,negated_conjecture,((((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&perp(skolem0005,skolem0003,skolem0001,skolem0002))&coll(skolem0005,skolem0001,skolem0002))&perp(skolem0006,skolem0002,skolem0001,skolem0003))&coll(skolem0006,skolem0001,skolem0003))&coll(skolem0007,skolem0003,skolem0005))&coll(skolem0007,skolem0002,skolem0006))&circle(skolem0008,skolem0001,skolem0007,skolem0002))&~eqangle(skolem0008,skolem0001,skolem0001,skolem0002,skolem0002,skolem0001,skolem0001,skolem0004)),inference(skolemize,[status(esa)],[c13])).
% 56.55/56.78 cnf(c23,negated_conjecture,~eqangle(skolem0008,skolem0001,skolem0001,skolem0002,skolem0002,skolem0001,skolem0001,skolem0004),inference(split_conjunct,[status(thm)],[c14])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c344,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])).
% 56.55/56.78 fof(c345,plain,(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(![X433]:(~eqangle(X426,X427,X428,X429,X430,X431,X432,X433)|eqangle(X426,X427,X430,X431,X428,X429,X432,X433)))))))))),inference(variable_rename,[status(thm)],[c344])).
% 56.55/56.78 cnf(c346,plain,~eqangle(X1218,X1220,X1217,X1221,X1222,X1216,X1223,X1219)|eqangle(X1218,X1220,X1222,X1216,X1217,X1221,X1223,X1219),inference(split_conjunct,[status(thm)],[c345])).
% 56.55/56.78 fof(ruleD22,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(![E]:(![F]:(![G]:(![H]:((eqangle(A,B,C,D,P,Q,U,V)&eqangle(P,Q,U,V,E,F,G,H))=>eqangle(A,B,C,D,E,F,G,H)))))))))))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD22)).
% 56.55/56.78 fof(c341,plain,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(![E]:(![F]:(![G]:(![H]:((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H)))))))))))))),inference(fof_nnf,[status(thm)],[ruleD22])).
% 56.55/56.78 fof(c342,plain,(![X414]:(![X415]:(![X416]:(![X417]:(![X418]:(![X419]:(![X420]:(![X421]:(![X422]:(![X423]:(![X424]:(![X425]:((~eqangle(X414,X415,X416,X417,X418,X419,X420,X421)|~eqangle(X418,X419,X420,X421,X422,X423,X424,X425))|eqangle(X414,X415,X416,X417,X422,X423,X424,X425)))))))))))))),inference(variable_rename,[status(thm)],[c341])).
% 56.55/56.78 cnf(c343,plain,~eqangle(X1211,X1214,X1215,X1207,X1208,X1210,X1206,X1209)|~eqangle(X1208,X1210,X1206,X1209,X1213,X1205,X1204,X1212)|eqangle(X1211,X1214,X1215,X1207,X1213,X1205,X1204,X1212),inference(split_conjunct,[status(thm)],[c342])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c278,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])).
% 56.55/56.78 fof(c279,plain,(![X286]:(![X287]:(![X288]:(![X289]:(~cyclic(X286,X287,X288,X289)|eqangle(X288,X286,X288,X287,X289,X286,X289,X287)))))),inference(variable_rename,[status(thm)],[c278])).
% 56.55/56.78 cnf(c280,plain,~cyclic(X1069,X1070,X1072,X1071)|eqangle(X1072,X1069,X1072,X1070,X1071,X1069,X1071,X1070),inference(split_conjunct,[status(thm)],[c279])).
% 56.55/56.78 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD14)).
% 56.55/56.78 fof(c365,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD14])).
% 56.55/56.78 fof(c366,plain,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X472,X474,X473)))))),inference(variable_rename,[status(thm)],[c365])).
% 56.55/56.78 cnf(c367,plain,~cyclic(X692,X691,X690,X689)|cyclic(X692,X691,X689,X690),inference(split_conjunct,[status(thm)],[c366])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c362,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,[status(thm)],[ruleD15])).
% 56.55/56.78 fof(c363,plain,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,[status(thm)],[c362])).
% 56.55/56.78 cnf(c364,plain,~cyclic(X685,X687,X686,X688)|cyclic(X685,X686,X687,X688),inference(split_conjunct,[status(thm)],[c363])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c400,plain,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,[status(thm)],[ruleD3])).
% 56.55/56.78 fof(c401,plain,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,[status(thm)],[c400])).
% 56.55/56.78 cnf(c402,plain,~coll(X747,X749,X746)|~coll(X747,X749,X748)|coll(X746,X748,X747),inference(split_conjunct,[status(thm)],[c401])).
% 56.55/56.78 cnf(c535,plain,~coll(X756,X755,X757)|coll(X757,X757,X756),inference(factor,[status(thm)],[c402])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c189,plain,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD66])).
% 56.55/56.78 fof(c190,plain,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,[status(thm)],[c189])).
% 56.55/56.78 cnf(c191,plain,~para(X664,X665,X664,X666)|coll(X664,X665,X666),inference(split_conjunct,[status(thm)],[c190])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c286,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])).
% 56.55/56.78 fof(c287,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)],[c286])).
% 56.55/56.78 fof(c289,plain,(![X296]:(![X297]:(![X298]:(![X299]:(![X300]:(![X301]:(~eqangle(X296,X297,X300,X301,X298,X299,X300,X301)|para(X296,X297,X298,X299)))))))),inference(shift_quantors,[status(thm)],[fof(c288,plain,(![X296]:(![X297]:(![X298]:(![X299]:((![X300]:(![X301]:~eqangle(X296,X297,X300,X301,X298,X299,X300,X301)))|para(X296,X297,X298,X299)))))),inference(variable_rename,[status(thm)],[c287])).])).
% 56.55/56.78 cnf(c290,plain,~eqangle(X1081,X1084,X1086,X1083,X1085,X1082,X1086,X1083)|para(X1081,X1084,X1085,X1082),inference(split_conjunct,[status(thm)],[c289])).
% 56.55/56.78 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)).
% 56.55/56.78 fof(c350,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])).
% 56.55/56.79 fof(c351,plain,(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(~eqangle(X442,X443,X444,X445,X446,X447,X448,X449)|eqangle(X444,X445,X442,X443,X448,X449,X446,X447)))))))))),inference(variable_rename,[status(thm)],[c350])).
% 56.55/56.79 cnf(c352,plain,~eqangle(X1239,X1234,X1238,X1237,X1236,X1235,X1233,X1232)|eqangle(X1238,X1237,X1239,X1234,X1233,X1232,X1236,X1235),inference(split_conjunct,[status(thm)],[c351])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c281,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])).
% 56.55/56.79 fof(c282,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)],[c281])).
% 56.55/56.79 fof(c284,plain,(![X290]:(![X291]:(![X292]:(![X293]:(![X294]:(![X295]:(~para(X290,X291,X292,X293)|eqangle(X290,X291,X294,X295,X292,X293,X294,X295)))))))),inference(shift_quantors,[status(thm)],[fof(c283,plain,(![X290]:(![X291]:(![X292]:(![X293]:(~para(X290,X291,X292,X293)|(![X294]:(![X295]:eqangle(X290,X291,X294,X295,X292,X293,X294,X295)))))))),inference(variable_rename,[status(thm)],[c282])).])).
% 56.55/56.79 cnf(c285,plain,~para(X1076,X1074,X1075,X1078)|eqangle(X1076,X1074,X1079,X1077,X1075,X1078,X1079,X1077),inference(split_conjunct,[status(thm)],[c284])).
% 56.55/56.79 cnf(c18,negated_conjecture,perp(skolem0006,skolem0002,skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c14])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c385,plain,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD8])).
% 56.55/56.79 fof(c386,plain,(![X499]:(![X500]:(![X501]:(![X502]:(~perp(X499,X500,X501,X502)|perp(X501,X502,X499,X500)))))),inference(variable_rename,[status(thm)],[c385])).
% 56.55/56.79 cnf(c387,plain,~perp(X695,X694,X693,X696)|perp(X693,X696,X695,X694),inference(split_conjunct,[status(thm)],[c386])).
% 56.55/56.79 cnf(c488,plain,perp(skolem0001,skolem0003,skolem0006,skolem0002),inference(resolution,[status(thm)],[c387, c18])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c382,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])).
% 56.55/56.79 fof(c383,plain,(![X493]:(![X494]:(![X495]:(![X496]:(![X497]:(![X498]:((~perp(X493,X494,X495,X496)|~perp(X495,X496,X497,X498))|para(X493,X494,X497,X498)))))))),inference(variable_rename,[status(thm)],[c382])).
% 56.55/56.79 cnf(c384,plain,~perp(X1268,X1269,X1273,X1272)|~perp(X1273,X1272,X1270,X1271)|para(X1268,X1269,X1270,X1271),inference(split_conjunct,[status(thm)],[c383])).
% 56.55/56.79 cnf(c1509,plain,~perp(X2651,X2652,skolem0006,skolem0002)|para(X2651,X2652,skolem0001,skolem0003),inference(resolution,[status(thm)],[c384, c18])).
% 56.55/56.79 cnf(c4472,plain,para(skolem0001,skolem0003,skolem0001,skolem0003),inference(resolution,[status(thm)],[c1509, c488])).
% 56.55/56.79 cnf(c4477,plain,eqangle(skolem0001,skolem0003,X2667,X2668,skolem0001,skolem0003,X2667,X2668),inference(resolution,[status(thm)],[c4472, c285])).
% 56.55/56.79 cnf(c4580,plain,eqangle(X2694,X2693,skolem0001,skolem0003,X2694,X2693,skolem0001,skolem0003),inference(resolution,[status(thm)],[c4477, c352])).
% 56.55/56.79 cnf(c4663,plain,para(X2696,X2695,X2696,X2695),inference(resolution,[status(thm)],[c4580, c290])).
% 56.55/56.79 cnf(c4687,plain,coll(X2697,X2698,X2698),inference(resolution,[status(thm)],[c4663, c191])).
% 56.55/56.79 cnf(c4845,plain,coll(X2704,X2704,X2703),inference(resolution,[status(thm)],[c4687, c535])).
% 56.55/56.79 cnf(c4949,plain,~coll(X3772,X3772,X3773)|coll(X3773,X3774,X3772),inference(resolution,[status(thm)],[c4845, c402])).
% 56.55/56.79 cnf(c9086,plain,coll(X3777,X3779,X3778),inference(resolution,[status(thm)],[c4949, c4845])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c271,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])).
% 56.55/56.79 fof(c272,plain,(![X278]:(![X279]:(![X280]:(![X281]:((~eqangle(X280,X278,X280,X279,X281,X278,X281,X279)|~coll(X280,X281,X279))|cyclic(X278,X279,X280,X281)))))),inference(variable_rename,[status(thm)],[c271])).
% 56.55/56.79 cnf(c273,plain,~eqangle(X1060,X1061,X1060,X1058,X1059,X1061,X1059,X1058)|~coll(X1060,X1059,X1058)|cyclic(X1061,X1058,X1060,X1059),inference(split_conjunct,[status(thm)],[c272])).
% 56.55/56.79 cnf(c4682,plain,eqangle(X3593,X3591,X3592,X3590,X3593,X3591,X3592,X3590),inference(resolution,[status(thm)],[c4663, c285])).
% 56.55/56.79 cnf(c8854,plain,~coll(X4126,X4126,X4128)|cyclic(X4127,X4128,X4126,X4126),inference(resolution,[status(thm)],[c4682, c273])).
% 56.55/56.79 cnf(c9720,plain,cyclic(X4129,X4130,X4131,X4131),inference(resolution,[status(thm)],[c8854, c9086])).
% 56.55/56.79 cnf(c9725,plain,cyclic(X4136,X4137,X4135,X4137),inference(resolution,[status(thm)],[c9720, c364])).
% 56.55/56.79 cnf(c9736,plain,cyclic(X4151,X4150,X4150,X4152),inference(resolution,[status(thm)],[c9725, c367])).
% 56.55/56.79 cnf(c9748,plain,eqangle(X4209,X4211,X4209,X4209,X4210,X4211,X4210,X4209),inference(resolution,[status(thm)],[c9736, c280])).
% 56.55/56.79 cnf(c9803,plain,~eqangle(X39237,X39242,X39236,X39241,X39239,X39240,X39239,X39239)|eqangle(X39237,X39242,X39236,X39241,X39238,X39240,X39238,X39239),inference(resolution,[status(thm)],[c9748, c343])).
% 56.55/56.79 cnf(c9732,plain,eqangle(X4198,X4200,X4198,X4199,X4199,X4200,X4199,X4199),inference(resolution,[status(thm)],[c9725, c280])).
% 56.55/56.79 cnf(c9775,plain,~eqangle(X32672,X32677,X32671,X32675,X32676,X32674,X32676,X32673)|eqangle(X32672,X32677,X32671,X32675,X32673,X32674,X32673,X32673),inference(resolution,[status(thm)],[c9732, c343])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c186,plain,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD67])).
% 56.55/56.79 fof(c187,plain,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,[status(thm)],[c186])).
% 56.55/56.79 cnf(c188,plain,~cong(X935,X936,X935,X934)|~coll(X935,X936,X934)|midp(X935,X936,X934),inference(split_conjunct,[status(thm)],[c187])).
% 56.55/56.79 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD23)).
% 56.55/56.79 fof(c338,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD23])).
% 56.55/56.79 fof(c339,plain,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,[status(thm)],[c338])).
% 56.55/56.79 cnf(c340,plain,~cong(X672,X671,X674,X673)|cong(X672,X671,X673,X674),inference(split_conjunct,[status(thm)],[c339])).
% 56.55/56.79 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD24)).
% 56.55/56.79 fof(c335,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD24])).
% 56.55/56.79 fof(c336,plain,(![X406]:(![X407]:(![X408]:(![X409]:(~cong(X406,X407,X408,X409)|cong(X408,X409,X406,X407)))))),inference(variable_rename,[status(thm)],[c335])).
% 56.55/56.79 cnf(c337,plain,~cong(X669,X667,X670,X668)|cong(X670,X668,X669,X667),inference(split_conjunct,[status(thm)],[c336])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c195,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])).
% 56.55/56.79 fof(c196,plain,(![X172]:(![X173]:(![X174]:(![X175]:(![X176]:(((~midp(X176,X172,X173)|~para(X172,X174,X173,X175))|~para(X172,X175,X173,X174))|midp(X176,X174,X175))))))),inference(variable_rename,[status(thm)],[c195])).
% 56.55/56.79 cnf(c197,plain,~midp(X946,X943,X942)|~para(X943,X945,X942,X944)|~para(X943,X944,X942,X945)|midp(X946,X945,X944),inference(split_conjunct,[status(thm)],[c196])).
% 56.55/56.79 cnf(c1157,plain,~midp(X2325,X2324,X2326)|~para(X2324,X2323,X2326,X2323)|midp(X2325,X2323,X2323),inference(factor,[status(thm)],[c197])).
% 56.55/56.79 cnf(c4685,plain,~midp(X3597,X3598,X3598)|midp(X3597,X3596,X3596),inference(resolution,[status(thm)],[c4663, c1157])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c266,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])).
% 56.55/56.79 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(shift_quantors,[status(thm)],[c266])).
% 56.55/56.79 fof(c269,plain,(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:(![X277]:((((~cyclic(X272,X273,X274,X275)|~cyclic(X272,X273,X274,X276))|~cyclic(X272,X273,X274,X277))|~eqangle(X274,X272,X274,X273,X277,X275,X277,X276))|cong(X272,X273,X275,X276)))))))),inference(shift_quantors,[status(thm)],[fof(c268,plain,(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:((![X277]:(((~cyclic(X272,X273,X274,X275)|~cyclic(X272,X273,X274,X276))|~cyclic(X272,X273,X274,X277))|~eqangle(X274,X272,X274,X273,X277,X275,X277,X276)))|cong(X272,X273,X275,X276))))))),inference(variable_rename,[status(thm)],[c267])).])).
% 56.55/56.79 cnf(c270,plain,~cyclic(X1052,X1051,X1056,X1054)|~cyclic(X1052,X1051,X1056,X1055)|~cyclic(X1052,X1051,X1056,X1053)|~eqangle(X1056,X1052,X1056,X1051,X1053,X1054,X1053,X1055)|cong(X1052,X1051,X1054,X1055),inference(split_conjunct,[status(thm)],[c269])).
% 56.55/56.79 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/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD20)).
% 56.55/56.79 fof(c347,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])).
% 56.55/56.79 fof(c348,plain,(![X434]:(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(![X440]:(![X441]:(~eqangle(X434,X435,X436,X437,X438,X439,X440,X441)|eqangle(X438,X439,X440,X441,X434,X435,X436,X437)))))))))),inference(variable_rename,[status(thm)],[c347])).
% 56.55/56.79 cnf(c349,plain,~eqangle(X1230,X1228,X1226,X1225,X1229,X1224,X1231,X1227)|eqangle(X1229,X1224,X1231,X1227,X1230,X1228,X1226,X1225),inference(split_conjunct,[status(thm)],[c348])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c397,plain,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD4])).
% 56.55/56.79 fof(c398,plain,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,[status(thm)],[c397])).
% 56.55/56.79 cnf(c399,plain,~para(X739,X737,X736,X738)|para(X739,X737,X738,X736),inference(split_conjunct,[status(thm)],[c398])).
% 56.55/56.79 cnf(c4697,plain,para(X2721,X2722,X2722,X2721),inference(resolution,[status(thm)],[c4663, c399])).
% 56.55/56.79 cnf(c5395,plain,eqangle(X3889,X3891,X3890,X3888,X3891,X3889,X3890,X3888),inference(resolution,[status(thm)],[c4697, c285])).
% 56.55/56.79 cnf(c9357,plain,eqangle(X3960,X3958,X3958,X3960,X3957,X3959,X3957,X3959),inference(resolution,[status(thm)],[c5395, c346])).
% 56.55/56.79 cnf(c9414,plain,eqangle(X3993,X3992,X3993,X3992,X3994,X3991,X3991,X3994),inference(resolution,[status(thm)],[c9357, c349])).
% 56.55/56.79 cnf(c9480,plain,~cyclic(X4987,X4987,X4985,X4986)|cong(X4987,X4987,X4986,X4986),inference(resolution,[status(thm)],[c9414, c270])).
% 56.55/56.79 cnf(c10308,plain,cong(X4989,X4989,X4988,X4988),inference(resolution,[status(thm)],[c9480, c9736])).
% 56.55/56.79 cnf(c10323,plain,~coll(X5050,X5050,X5050)|midp(X5050,X5050,X5050),inference(resolution,[status(thm)],[c10308, c188])).
% 56.55/56.79 cnf(c10440,plain,midp(X5051,X5051,X5051),inference(resolution,[status(thm)],[c10323, c9086])).
% 56.55/56.79 cnf(c10456,plain,midp(X5053,X5054,X5054),inference(resolution,[status(thm)],[c10440, c4685])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c238,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])).
% 56.55/56.79 fof(c239,plain,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,[status(thm)],[c238])).
% 56.55/56.79 cnf(c240,plain,~perp(X997,X999,X999,X996)|~midp(X998,X997,X996)|cong(X997,X998,X999,X998),inference(split_conjunct,[status(thm)],[c239])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c159,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])).
% 56.55/56.79 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(shift_quantors,[status(thm)],[c159])).
% 56.55/56.79 fof(c162,plain,(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:(![X132]:((~eqangle(X125,X126,X127,X128,X129,X130,X131,X132)|~perp(X129,X130,X131,X132))|perp(X125,X126,X127,X128)))))))))),inference(shift_quantors,[status(thm)],[fof(c161,plain,(![X125]:(![X126]:(![X127]:(![X128]:((![X129]:(![X130]:(![X131]:(![X132]:(~eqangle(X125,X126,X127,X128,X129,X130,X131,X132)|~perp(X129,X130,X131,X132))))))|perp(X125,X126,X127,X128)))))),inference(variable_rename,[status(thm)],[c160])).])).
% 56.55/56.79 cnf(c163,plain,~eqangle(X906,X908,X909,X904,X910,X905,X907,X911)|~perp(X910,X905,X907,X911)|perp(X906,X908,X909,X904),inference(split_conjunct,[status(thm)],[c162])).
% 56.55/56.79 cnf(c9411,plain,~perp(X4951,X4953,X4951,X4953)|perp(X4954,X4952,X4952,X4954),inference(resolution,[status(thm)],[c9357, c163])).
% 56.55/56.79 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)).
% 56.55/56.79 fof(c224,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])).
% 56.55/56.79 fof(c225,plain,(![X216]:(![X217]:(![X218]:(![X219]:((~cong(X216,X218,X217,X218)|~cong(X216,X219,X217,X219))|perp(X216,X217,X218,X219)))))),inference(variable_rename,[status(thm)],[c224])).
% 56.55/56.79 cnf(c226,plain,~cong(X982,X981,X980,X981)|~cong(X982,X983,X980,X983)|perp(X982,X980,X981,X983),inference(split_conjunct,[status(thm)],[c225])).
% 56.55/56.79 cnf(c1160,plain,~cong(X1024,X1023,X1025,X1023)|perp(X1024,X1025,X1023,X1023),inference(factor,[status(thm)],[c226])).
% 56.55/56.79 cnf(c10321,plain,perp(X5008,X5008,X5008,X5008),inference(resolution,[status(thm)],[c10308, c1160])).
% 56.55/56.79 cnf(c10333,plain,perp(X5010,X5011,X5011,X5010),inference(resolution,[status(thm)],[c10321, c9411])).
% 56.55/56.79 cnf(c10377,plain,~midp(X5938,X5939,X5939)|cong(X5939,X5938,X5940,X5938),inference(resolution,[status(thm)],[c10333, c240])).
% 56.55/56.79 cnf(c12170,plain,cong(X5941,X5942,X5943,X5942),inference(resolution,[status(thm)],[c10377, c10456])).
% 56.55/56.79 cnf(c12177,plain,cong(X5948,X5949,X5949,X5947),inference(resolution,[status(thm)],[c12170, c340])).
% 56.55/56.79 cnf(c12194,plain,cong(X5959,X5958,X5960,X5959),inference(resolution,[status(thm)],[c12177, c337])).
% 56.55/56.79 cnf(c12230,plain,cong(X5987,X5988,X5987,X5986),inference(resolution,[status(thm)],[c12194, c340])).
% 56.55/56.79 cnf(c12289,plain,~coll(X6246,X6247,X6248)|midp(X6246,X6247,X6248),inference(resolution,[status(thm)],[c12230, c188])).
% 56.55/56.79 cnf(c13070,plain,midp(X6253,X6254,X6252),inference(resolution,[status(thm)],[c12289, c9086])).
% 56.55/56.79 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax', ruleD44)).
% 56.55/56.79 fof(c263,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])).
% 56.55/56.79 fof(c264,plain,(![X267]:(![X268]:(![X269]:(![X270]:(![X271]:((~midp(X270,X267,X268)|~midp(X271,X267,X269))|para(X270,X271,X268,X269))))))),inference(variable_rename,[status(thm)],[c263])).
% 56.55/56.79 cnf(c265,plain,~midp(X1043,X1046,X1045)|~midp(X1042,X1046,X1044)|para(X1043,X1042,X1045,X1044),inference(split_conjunct,[status(thm)],[c264])).
% 56.55/56.79 cnf(c10470,plain,~midp(X9912,X9913,X9910)|para(X9912,X9911,X9910,X9913),inference(resolution,[status(thm)],[c10456, c265])).
% 56.55/56.79 cnf(c16279,plain,para(X9915,X9917,X9914,X9916),inference(resolution,[status(thm)],[c10470, c13070])).
% 56.55/56.79 cnf(c16285,plain,eqangle(X10153,X10152,X10154,X10156,X10157,X10155,X10154,X10156),inference(resolution,[status(thm)],[c16279, c285])).
% 56.55/56.79 cnf(c16531,plain,eqangle(X10181,X10183,X10180,X10182,X10181,X10183,X10184,X10179),inference(resolution,[status(thm)],[c16285, c352])).
% 56.55/56.79 cnf(c21516,plain,eqangle(X32680,X32682,X32679,X32681,X32678,X32682,X32678,X32678),inference(resolution,[status(thm)],[c9775, c16531])).
% 56.55/56.79 cnf(c23348,plain,eqangle(X39858,X39856,X39860,X39857,X39855,X39856,X39855,X39859),inference(resolution,[status(thm)],[c9803, c21516])).
% 56.55/56.79 cnf(c23514,plain,eqangle(X40648,X40646,X40647,X40646,X40644,X40643,X40647,X40645),inference(resolution,[status(thm)],[c23348, c346])).
% 56.55/56.79 cnf(c24052,plain,eqangle(X43155,X43157,X43154,X43157,X43158,X43156,X43158,X43158),inference(resolution,[status(thm)],[c23514, c9775])).
% 56.55/56.79 cnf(c24718,plain,eqangle(X46140,X46143,X46141,X46143,X46138,X46142,X46138,X46139),inference(resolution,[status(thm)],[c24052, c9803])).
% 56.55/56.79 cnf(c25122,plain,eqangle(X47916,X47911,X47915,X47914,X47912,X47911,X47915,X47913),inference(resolution,[status(thm)],[c24718, c346])).
% 56.55/56.79 cnf(c25605,plain,$false,inference(resolution,[status(thm)],[c25122, c23])).
% 56.55/56.79 % SZS output end CNFRefutation
% 56.55/56.79
% 56.55/56.79 % Initial clauses : 136
% 56.55/56.79 % Processed clauses : 3147
% 56.55/56.79 % Factors computed : 159
% 56.55/56.79 % Resolvents computed: 25049
% 56.55/56.79 % Tautologies deleted: 40
% 56.55/56.79 % Forward subsumed : 15950
% 56.55/56.79 % Backward subsumed : 2980
% 56.55/56.79 % -------- CPU Time ---------
% 56.55/56.79 % User time : 56.375 s
% 56.55/56.79 % System time : 0.054 s
% 56.55/56.79 % Total time : 56.429 s
%------------------------------------------------------------------------------