%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO591+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 17:22:21 EDT 2024
% Result : Theorem 140.84s 141.02s
% Output : Refutation 140.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO591+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 07:56:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 140.84/141.02 % Version: 1.5
% 140.84/141.02 % SZS status Theorem
% 140.84/141.02 % SZS output start CNFRefutation
% 140.84/141.02 fof(exemplo6GDDFULL416053,conjecture,(![O]:(![A]:(![B]:(![C]:(![E]:(![D]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:(((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))=>cong(O,E,O,D))))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', exemplo6GDDFULL416053)).
% 140.84/141.02 fof(c11,negated_conjecture,(~(![O]:(![A]:(![B]:(![C]:(![E]:(![D]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:(((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))=>cong(O,E,O,D)))))))))))),inference(assume_negation,[status(cth)],[exemplo6GDDFULL416053])).
% 140.84/141.02 fof(c12,negated_conjecture,(?[O]:(?[A]:(?[B]:(?[C]:(?[E]:(?[D]:(?[NWPNT1]:(?[NWPNT2]:(?[NWPNT3]:(((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))&~cong(O,E,O,D))))))))))),inference(fof_nnf,[status(thm)],[c11])).
% 140.84/141.02 fof(c13,negated_conjecture,(?[O]:(?[A]:(?[B]:(?[C]:(?[E]:(?[D]:((((((((?[NWPNT1]:(?[NWPNT2]:circle(O,A,NWPNT1,NWPNT2)))&(?[NWPNT3]:circle(O,A,B,NWPNT3)))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))&~cong(O,E,O,D)))))))),inference(shift_quantors,[status(thm)],[c12])).
% 140.84/141.02 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((((((((?[X8]:(?[X9]:circle(X2,X3,X8,X9)))&(?[X10]:circle(X2,X3,X4,X10)))&perp(X2,X4,X4,X6))&perp(X2,X3,X3,X7))&coll(X5,X3,X4))&perp(X2,X5,X5,X6))&coll(X7,X5,X6))&~cong(X2,X6,X2,X7)))))))),inference(variable_rename,[status(thm)],[c13])).
% 140.84/141.02 fof(c15,negated_conjecture,(((((((circle(skolem0001,skolem0002,skolem0007,skolem0008)&circle(skolem0001,skolem0002,skolem0003,skolem0009))&perp(skolem0001,skolem0003,skolem0003,skolem0005))&perp(skolem0001,skolem0002,skolem0002,skolem0006))&coll(skolem0004,skolem0002,skolem0003))&perp(skolem0001,skolem0004,skolem0004,skolem0005))&coll(skolem0006,skolem0004,skolem0005))&~cong(skolem0001,skolem0005,skolem0001,skolem0006)),inference(skolemize,[status(esa)],[c14])).
% 140.84/141.02 cnf(c23,negated_conjecture,~cong(skolem0001,skolem0005,skolem0001,skolem0006),inference(split_conjunct,[status(thm)],[c15])).
% 140.84/141.02 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)).
% 140.84/141.02 fof(c338,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD23])).
% 140.84/141.02 fof(c339,plain,(![X411]:(![X412]:(![X413]:(![X414]:(~cong(X411,X412,X413,X414)|cong(X411,X412,X414,X413)))))),inference(variable_rename,[status(thm)],[c338])).
% 140.84/141.02 cnf(c340,plain,~cong(X619,X616,X618,X617)|cong(X619,X616,X617,X618),inference(split_conjunct,[status(thm)],[c339])).
% 140.84/141.02 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)).
% 140.84/141.02 fof(c335,plain,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD24])).
% 140.84/141.02 fof(c336,plain,(![X407]:(![X408]:(![X409]:(![X410]:(~cong(X407,X408,X409,X410)|cong(X409,X410,X407,X408)))))),inference(variable_rename,[status(thm)],[c335])).
% 140.84/141.02 cnf(c337,plain,~cong(X615,X613,X612,X614)|cong(X612,X614,X615,X613),inference(split_conjunct,[status(thm)],[c336])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c196,plain,(![X173]:(![X174]:(![X175]:(![X176]:(![X177]:(((~midp(X177,X173,X174)|~para(X173,X175,X174,X176))|~para(X173,X176,X174,X175))|midp(X177,X175,X176))))))),inference(variable_rename,[status(thm)],[c195])).
% 140.84/141.02 cnf(c197,plain,~midp(X958,X957,X960)|~para(X957,X959,X960,X956)|~para(X957,X956,X960,X959)|midp(X958,X959,X956),inference(split_conjunct,[status(thm)],[c196])).
% 140.84/141.02 cnf(c1006,plain,~midp(X2047,X2048,X2045)|~para(X2048,X2046,X2045,X2046)|midp(X2047,X2046,X2046),inference(factor,[status(thm)],[c197])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c289,plain,(![X297]:(![X298]:(![X299]:(![X300]:(![X301]:(![X302]:(~eqangle(X297,X298,X301,X302,X299,X300,X301,X302)|para(X297,X298,X299,X300)))))))),inference(shift_quantors,[status(thm)],[fof(c288,plain,(![X297]:(![X298]:(![X299]:(![X300]:((![X301]:(![X302]:~eqangle(X297,X298,X301,X302,X299,X300,X301,X302)))|para(X297,X298,X299,X300)))))),inference(variable_rename,[status(thm)],[c287])).])).
% 140.84/141.02 cnf(c290,plain,~eqangle(X1083,X1082,X1086,X1081,X1084,X1085,X1086,X1081)|para(X1083,X1082,X1084,X1085),inference(split_conjunct,[status(thm)],[c289])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c351,plain,(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(![X450]:(~eqangle(X443,X444,X445,X446,X447,X448,X449,X450)|eqangle(X445,X446,X443,X444,X449,X450,X447,X448)))))))))),inference(variable_rename,[status(thm)],[c350])).
% 140.84/141.02 cnf(c352,plain,~eqangle(X1222,X1221,X1220,X1219,X1226,X1225,X1223,X1224)|eqangle(X1220,X1219,X1222,X1221,X1223,X1224,X1226,X1225),inference(split_conjunct,[status(thm)],[c351])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c284,plain,(![X291]:(![X292]:(![X293]:(![X294]:(![X295]:(![X296]:(~para(X291,X292,X293,X294)|eqangle(X291,X292,X295,X296,X293,X294,X295,X296)))))))),inference(shift_quantors,[status(thm)],[fof(c283,plain,(![X291]:(![X292]:(![X293]:(![X294]:(~para(X291,X292,X293,X294)|(![X295]:(![X296]:eqangle(X291,X292,X295,X296,X293,X294,X295,X296)))))))),inference(variable_rename,[status(thm)],[c282])).])).
% 140.84/141.02 cnf(c285,plain,~para(X1076,X1080,X1078,X1077)|eqangle(X1076,X1080,X1079,X1075,X1078,X1077,X1079,X1075),inference(split_conjunct,[status(thm)],[c284])).
% 140.84/141.02 cnf(c19,negated_conjecture,perp(skolem0001,skolem0002,skolem0002,skolem0006),inference(split_conjunct,[status(thm)],[c15])).
% 140.84/141.02 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)).
% 140.84/141.02 fof(c385,plain,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,[status(thm)],[ruleD8])).
% 140.84/141.02 fof(c386,plain,(![X500]:(![X501]:(![X502]:(![X503]:(~perp(X500,X501,X502,X503)|perp(X502,X503,X500,X501)))))),inference(variable_rename,[status(thm)],[c385])).
% 140.84/141.02 cnf(c387,plain,~perp(X650,X651,X649,X648)|perp(X649,X648,X650,X651),inference(split_conjunct,[status(thm)],[c386])).
% 140.84/141.02 cnf(c455,plain,perp(skolem0002,skolem0006,skolem0001,skolem0002),inference(resolution,[status(thm)],[c387, c19])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c383,plain,(![X494]:(![X495]:(![X496]:(![X497]:(![X498]:(![X499]:((~perp(X494,X495,X496,X497)|~perp(X496,X497,X498,X499))|para(X494,X495,X498,X499)))))))),inference(variable_rename,[status(thm)],[c382])).
% 140.84/141.02 cnf(c384,plain,~perp(X1259,X1260,X1258,X1255)|~perp(X1258,X1255,X1256,X1257)|para(X1259,X1260,X1256,X1257),inference(split_conjunct,[status(thm)],[c383])).
% 140.84/141.02 cnf(c1556,plain,~perp(X2690,X2689,skolem0001,skolem0002)|para(X2690,X2689,skolem0002,skolem0006),inference(resolution,[status(thm)],[c384, c19])).
% 140.84/141.02 cnf(c9489,plain,para(skolem0002,skolem0006,skolem0002,skolem0006),inference(resolution,[status(thm)],[c1556, c455])).
% 140.84/141.02 cnf(c9494,plain,eqangle(skolem0002,skolem0006,X2895,X2894,skolem0002,skolem0006,X2895,X2894),inference(resolution,[status(thm)],[c9489, c285])).
% 140.84/141.02 cnf(c15694,plain,eqangle(X3517,X3518,skolem0002,skolem0006,X3517,X3518,skolem0002,skolem0006),inference(resolution,[status(thm)],[c9494, c352])).
% 140.84/141.02 cnf(c26228,plain,para(X3520,X3519,X3520,X3519),inference(resolution,[status(thm)],[c15694, c290])).
% 140.84/141.02 cnf(c26287,plain,~midp(X4021,X4019,X4019)|midp(X4021,X4020,X4020),inference(resolution,[status(thm)],[c26228, c1006])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c401,plain,(![X522]:(![X523]:(![X524]:(![X525]:((~coll(X522,X523,X524)|~coll(X522,X523,X525))|coll(X524,X525,X522)))))),inference(variable_rename,[status(thm)],[c400])).
% 140.84/141.02 cnf(c402,plain,~coll(X749,X750,X747)|~coll(X749,X750,X748)|coll(X747,X748,X749),inference(split_conjunct,[status(thm)],[c401])).
% 140.84/141.02 cnf(c553,plain,~coll(X753,X752,X751)|coll(X751,X751,X753),inference(factor,[status(thm)],[c402])).
% 140.84/141.02 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)).
% 140.84/141.02 fof(c189,plain,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,[status(thm)],[ruleD66])).
% 140.84/141.02 fof(c190,plain,(![X165]:(![X166]:(![X167]:(~para(X165,X166,X165,X167)|coll(X165,X166,X167))))),inference(variable_rename,[status(thm)],[c189])).
% 140.84/141.02 cnf(c191,plain,~para(X609,X611,X609,X610)|coll(X609,X611,X610),inference(split_conjunct,[status(thm)],[c190])).
% 140.84/141.02 cnf(c26273,plain,coll(X3522,X3521,X3521),inference(resolution,[status(thm)],[c26228, c191])).
% 140.84/141.02 cnf(c26390,plain,coll(X3525,X3525,X3526),inference(resolution,[status(thm)],[c26273, c553])).
% 140.84/141.02 cnf(c27054,plain,~coll(X4158,X4158,X4156)|coll(X4156,X4157,X4158),inference(resolution,[status(thm)],[c26390, c402])).
% 140.84/141.02 cnf(c32490,plain,coll(X4160,X4161,X4159),inference(resolution,[status(thm)],[c27054, c26390])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c187,plain,(![X162]:(![X163]:(![X164]:((~cong(X162,X163,X162,X164)|~coll(X162,X163,X164))|midp(X162,X163,X164))))),inference(variable_rename,[status(thm)],[c186])).
% 140.84/141.02 cnf(c188,plain,~cong(X947,X946,X947,X948)|~coll(X947,X946,X948)|midp(X947,X946,X948),inference(split_conjunct,[status(thm)],[c187])).
% 140.84/141.02 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax', ruleD16)).
% 140.84/141.02 fof(c359,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,[status(thm)],[ruleD16])).
% 140.84/141.02 fof(c360,plain,(![X464]:(![X465]:(![X466]:(![X467]:(~cyclic(X464,X465,X466,X467)|cyclic(X465,X464,X466,X467)))))),inference(variable_rename,[status(thm)],[c359])).
% 140.84/141.02 cnf(c361,plain,~cyclic(X638,X637,X636,X639)|cyclic(X637,X638,X636,X639),inference(split_conjunct,[status(thm)],[c360])).
% 140.84/141.02 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)).
% 140.84/141.02 fof(c362,plain,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,[status(thm)],[ruleD15])).
% 140.84/141.02 fof(c363,plain,(![X468]:(![X469]:(![X470]:(![X471]:(~cyclic(X468,X469,X470,X471)|cyclic(X468,X470,X469,X471)))))),inference(variable_rename,[status(thm)],[c362])).
% 140.84/141.02 cnf(c364,plain,~cyclic(X641,X642,X640,X643)|cyclic(X641,X640,X642,X643),inference(split_conjunct,[status(thm)],[c363])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c272,plain,(![X279]:(![X280]:(![X281]:(![X282]:((~eqangle(X281,X279,X281,X280,X282,X279,X282,X280)|~coll(X281,X282,X280))|cyclic(X279,X280,X281,X282)))))),inference(variable_rename,[status(thm)],[c271])).
% 140.84/141.02 cnf(c273,plain,~eqangle(X1066,X1065,X1066,X1064,X1063,X1065,X1063,X1064)|~coll(X1066,X1063,X1064)|cyclic(X1065,X1064,X1066,X1063),inference(split_conjunct,[status(thm)],[c272])).
% 140.84/141.02 cnf(c26254,plain,eqangle(X4004,X4006,X4005,X4003,X4004,X4006,X4005,X4003),inference(resolution,[status(thm)],[c26228, c285])).
% 140.84/141.02 cnf(c32209,plain,~coll(X4442,X4442,X4443)|cyclic(X4444,X4443,X4442,X4442),inference(resolution,[status(thm)],[c26254, c273])).
% 140.84/141.02 cnf(c33118,plain,cyclic(X4445,X4447,X4446,X4446),inference(resolution,[status(thm)],[c32209, c32490])).
% 140.84/141.02 cnf(c33121,plain,cyclic(X4453,X4454,X4455,X4454),inference(resolution,[status(thm)],[c33118, c364])).
% 140.84/141.02 cnf(c33130,plain,cyclic(X4466,X4465,X4467,X4466),inference(resolution,[status(thm)],[c33121, c361])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c269,plain,(![X273]:(![X274]:(![X275]:(![X276]:(![X277]:(![X278]:((((~cyclic(X273,X274,X275,X276)|~cyclic(X273,X274,X275,X277))|~cyclic(X273,X274,X275,X278))|~eqangle(X275,X273,X275,X274,X278,X276,X278,X277))|cong(X273,X274,X276,X277)))))))),inference(shift_quantors,[status(thm)],[fof(c268,plain,(![X273]:(![X274]:(![X275]:(![X276]:(![X277]:((![X278]:(((~cyclic(X273,X274,X275,X276)|~cyclic(X273,X274,X275,X277))|~cyclic(X273,X274,X275,X278))|~eqangle(X275,X273,X275,X274,X278,X276,X278,X277)))|cong(X273,X274,X276,X277))))))),inference(variable_rename,[status(thm)],[c267])).])).
% 140.84/141.02 cnf(c270,plain,~cyclic(X1061,X1058,X1059,X1057)|~cyclic(X1061,X1058,X1059,X1062)|~cyclic(X1061,X1058,X1059,X1060)|~eqangle(X1059,X1061,X1059,X1058,X1060,X1057,X1060,X1062)|cong(X1061,X1058,X1057,X1062),inference(split_conjunct,[status(thm)],[c269])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c348,plain,(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(![X440]:(![X441]:(![X442]:(~eqangle(X435,X436,X437,X438,X439,X440,X441,X442)|eqangle(X439,X440,X441,X442,X435,X436,X437,X438)))))))))),inference(variable_rename,[status(thm)],[c347])).
% 140.84/141.02 cnf(c349,plain,~eqangle(X1217,X1218,X1216,X1215,X1211,X1212,X1214,X1213)|eqangle(X1211,X1212,X1214,X1213,X1217,X1218,X1216,X1215),inference(split_conjunct,[status(thm)],[c348])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c345,plain,(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(![X433]:(![X434]:(~eqangle(X427,X428,X429,X430,X431,X432,X433,X434)|eqangle(X427,X428,X431,X432,X429,X430,X433,X434)))))))))),inference(variable_rename,[status(thm)],[c344])).
% 140.84/141.02 cnf(c346,plain,~eqangle(X1206,X1204,X1207,X1210,X1205,X1209,X1208,X1203)|eqangle(X1206,X1204,X1205,X1209,X1207,X1210,X1208,X1203),inference(split_conjunct,[status(thm)],[c345])).
% 140.84/141.02 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)).
% 140.84/141.02 fof(c397,plain,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,[status(thm)],[ruleD4])).
% 140.84/141.02 fof(c398,plain,(![X518]:(![X519]:(![X520]:(![X521]:(~para(X518,X519,X520,X521)|para(X518,X519,X521,X520)))))),inference(variable_rename,[status(thm)],[c397])).
% 140.84/141.02 cnf(c399,plain,~para(X736,X734,X733,X735)|para(X736,X734,X735,X733),inference(split_conjunct,[status(thm)],[c398])).
% 140.84/141.02 cnf(c26249,plain,para(X3538,X3539,X3539,X3538),inference(resolution,[status(thm)],[c26228, c399])).
% 140.84/141.02 cnf(c27170,plain,eqangle(X4253,X4251,X4252,X4250,X4251,X4253,X4252,X4250),inference(resolution,[status(thm)],[c26249, c285])).
% 140.84/141.02 cnf(c32805,plain,eqangle(X4290,X4292,X4292,X4290,X4291,X4293,X4291,X4293),inference(resolution,[status(thm)],[c27170, c346])).
% 140.84/141.02 cnf(c32897,plain,eqangle(X4337,X4339,X4337,X4339,X4340,X4338,X4338,X4340),inference(resolution,[status(thm)],[c32805, c349])).
% 140.84/141.02 cnf(c32957,plain,~cyclic(X5286,X5286,X5287,X5288)|cong(X5286,X5286,X5288,X5288),inference(resolution,[status(thm)],[c32897, c270])).
% 140.84/141.02 cnf(c33958,plain,cong(X5289,X5289,X5289,X5289),inference(resolution,[status(thm)],[c32957, c33130])).
% 140.84/141.02 cnf(c33997,plain,~coll(X5339,X5339,X5339)|midp(X5339,X5339,X5339),inference(resolution,[status(thm)],[c33958, c188])).
% 140.84/141.02 cnf(c34193,plain,midp(X5340,X5340,X5340),inference(resolution,[status(thm)],[c33997, c32490])).
% 140.84/141.02 cnf(c34222,plain,midp(X5342,X5343,X5343),inference(resolution,[status(thm)],[c34193, c26287])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c239,plain,(![X233]:(![X234]:(![X235]:(![X236]:((~perp(X233,X234,X234,X235)|~midp(X236,X233,X235))|cong(X233,X236,X234,X236)))))),inference(variable_rename,[status(thm)],[c238])).
% 140.84/141.02 cnf(c240,plain,~perp(X1018,X1019,X1019,X1017)|~midp(X1020,X1018,X1017)|cong(X1018,X1020,X1019,X1020),inference(split_conjunct,[status(thm)],[c239])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c162,plain,(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:(![X132]:(![X133]:((~eqangle(X126,X127,X128,X129,X130,X131,X132,X133)|~perp(X130,X131,X132,X133))|perp(X126,X127,X128,X129)))))))))),inference(shift_quantors,[status(thm)],[fof(c161,plain,(![X126]:(![X127]:(![X128]:(![X129]:((![X130]:(![X131]:(![X132]:(![X133]:(~eqangle(X126,X127,X128,X129,X130,X131,X132,X133)|~perp(X130,X131,X132,X133))))))|perp(X126,X127,X128,X129)))))),inference(variable_rename,[status(thm)],[c160])).])).
% 140.84/141.02 cnf(c163,plain,~eqangle(X914,X910,X911,X912,X917,X915,X916,X913)|~perp(X917,X915,X916,X913)|perp(X914,X910,X911,X912),inference(split_conjunct,[status(thm)],[c162])).
% 140.84/141.02 cnf(c32891,plain,~perp(X5250,X5253,X5250,X5253)|perp(X5252,X5251,X5251,X5252),inference(resolution,[status(thm)],[c32805, c163])).
% 140.84/141.02 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)).
% 140.84/141.02 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])).
% 140.84/141.02 fof(c225,plain,(![X217]:(![X218]:(![X219]:(![X220]:((~cong(X217,X219,X218,X219)|~cong(X217,X220,X218,X220))|perp(X217,X218,X219,X220)))))),inference(variable_rename,[status(thm)],[c224])).
% 140.84/141.02 cnf(c226,plain,~cong(X1002,X1003,X1004,X1003)|~cong(X1002,X1001,X1004,X1001)|perp(X1002,X1004,X1003,X1001),inference(split_conjunct,[status(thm)],[c225])).
% 140.84/141.02 cnf(c1101,plain,~cong(X1280,X1279,X1281,X1279)|perp(X1280,X1281,X1279,X1279),inference(factor,[status(thm)],[c226])).
% 140.84/141.02 cnf(c33993,plain,perp(X5305,X5305,X5305,X5305),inference(resolution,[status(thm)],[c33958, c1101])).
% 140.84/141.02 cnf(c34070,plain,perp(X5319,X5320,X5320,X5319),inference(resolution,[status(thm)],[c33993, c32891])).
% 140.84/141.02 cnf(c34147,plain,~midp(X6106,X6108,X6108)|cong(X6108,X6106,X6107,X6106),inference(resolution,[status(thm)],[c34070, c240])).
% 140.84/141.02 cnf(c36405,plain,cong(X6109,X6111,X6110,X6111),inference(resolution,[status(thm)],[c34147, c34222])).
% 140.84/141.02 cnf(c36407,plain,cong(X6114,X6112,X6112,X6113),inference(resolution,[status(thm)],[c36405, c340])).
% 140.84/141.02 cnf(c36459,plain,cong(X6130,X6131,X6132,X6130),inference(resolution,[status(thm)],[c36407, c337])).
% 140.84/141.02 cnf(c36504,plain,cong(X6147,X6146,X6147,X6148),inference(resolution,[status(thm)],[c36459, c340])).
% 140.84/141.02 cnf(c36609,plain,$false,inference(resolution,[status(thm)],[c36504, c23])).
% 140.84/141.02 % SZS output end CNFRefutation
% 140.84/141.02
% 140.84/141.02 % Initial clauses : 135
% 140.84/141.02 % Processed clauses : 3657
% 140.84/141.02 % Factors computed : 142
% 140.84/141.02 % Resolvents computed: 36070
% 140.84/141.02 % Tautologies deleted: 12
% 140.84/141.02 % Forward subsumed : 6313
% 140.84/141.02 % Backward subsumed : 2664
% 140.84/141.02 % -------- CPU Time ---------
% 140.84/141.02 % User time : 140.536 s
% 140.84/141.02 % System time : 0.108 s
% 140.84/141.02 % Total time : 140.644 s
%------------------------------------------------------------------------------