TSTP Solution File: GEO586+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 : 600s
% DateTime : Sat Jul 16 06:01:03 EDT 2022
% Result : Theorem 88.38s 88.64s
% Output : Refutation 88.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.09 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Sat Jun 18 12:03:31 EDT 2022
% 0.08/0.27 % CPUTime :
% 88.38/88.64 # Version: 1.3
% 88.38/88.64 # SZS status Theorem
% 88.38/88.64 # SZS output start CNFRefutation
% 88.38/88.64 fof(exemplo6GDDFULL416048,conjecture,(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![I]:(![NWPNT1]:(((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E))=>perp(I,E,C,D)))))))))),input).
% 88.38/88.64 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![I]:(![NWPNT1]:(((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E))=>perp(I,E,C,D))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL416048])).
% 88.38/88.64 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(?[I]:(?[NWPNT1]:(((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E))&~perp(I,E,C,D)))))))))),inference(fof_nnf,status(thm),[c11])).
% 88.38/88.64 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(?[I]:(((((circle(O,A,B,C)&(?[NWPNT1]:circle(O,A,D,NWPNT1)))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E))&~perp(I,E,C,D))))))))),inference(shift_quantors,status(thm),[c12])).
% 88.38/88.64 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(((((circle(X5,X2,X3,X4)&(?[X9]:circle(X5,X2,X6,X9)))&coll(X7,X2,X4))&coll(X7,X3,X6))&circle(X8,X2,X3,X7))&~perp(X8,X7,X4,X6))))))))),inference(variable_rename,status(thm),[c13])).
% 88.38/88.64 fof(c15,negated_conjecture,(((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&circle(skolem0004,skolem0001,skolem0005,skolem0008))&coll(skolem0006,skolem0001,skolem0003))&coll(skolem0006,skolem0002,skolem0005))&circle(skolem0007,skolem0001,skolem0002,skolem0006))&~perp(skolem0007,skolem0006,skolem0003,skolem0005)),inference(skolemize,status(esa),[c14])).
% 88.38/88.64 cnf(c21,negated_conjecture,~perp(skolem0007,skolem0006,skolem0003,skolem0005),inference(split_conjunct,status(thm),[c15])).
% 88.38/88.64 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 88.38/88.64 fof(c196,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))))))),inference(fof_nnf,status(thm),[ruleD63])).
% 88.38/88.64 fof(c197,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c196])).
% 88.38/88.64 fof(c199,axiom,(![X177]:(![X178]:(![X179]:(![X180]:(![X181]:((~midp(X181,X177,X178)|~midp(X181,X179,X180))|para(X177,X179,X178,X180))))))),inference(shift_quantors,status(thm),[fof(c198,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c197])).])).
% 88.38/88.64 cnf(c200,axiom,~midp(X964,X965,X962)|~midp(X964,X963,X966)|para(X965,X963,X962,X966),inference(split_conjunct,status(thm),[c199])).
% 88.38/88.64 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 88.38/88.64 fof(c404,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 88.38/88.64 fof(c405,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c404])).
% 88.38/88.64 cnf(c406,axiom,~coll(X563,X564,X565)|coll(X563,X565,X564),inference(split_conjunct,status(thm),[c405])).
% 88.38/88.64 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 88.38/88.64 fof(c401,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 88.38/88.64 fof(c402,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c401])).
% 88.38/88.64 cnf(c403,axiom,~coll(X553,X554,X552)|coll(X554,X553,X552),inference(split_conjunct,status(thm),[c402])).
% 88.38/88.64 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 88.38/88.64 fof(c187,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 88.38/88.64 fof(c188,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c187])).
% 88.38/88.64 cnf(c189,axiom,~para(X599,X601,X599,X600)|coll(X599,X601,X600),inference(split_conjunct,status(thm),[c188])).
% 88.38/88.64 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 88.38/88.64 fof(c284,axiom,(![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])).
% 88.38/88.64 fof(c285,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:~eqangle(A,B,P,Q,C,D,P,Q)))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c284])).
% 88.38/88.64 fof(c287,axiom,(![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(c286,axiom,(![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),[c285])).])).
% 88.38/88.64 cnf(c288,axiom,~eqangle(X1088,X1087,X1085,X1089,X1086,X1090,X1085,X1089)|para(X1088,X1087,X1086,X1090),inference(split_conjunct,status(thm),[c287])).
% 88.38/88.64 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)))))))))),input).
% 88.38/88.64 fof(c348,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)))))))))),inference(fof_nnf,status(thm),[ruleD19])).
% 88.38/88.64 fof(c349,axiom,(![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),[c348])).
% 88.38/88.64 cnf(c350,axiom,~eqangle(X1239,X1238,X1233,X1232,X1237,X1234,X1236,X1235)|eqangle(X1233,X1232,X1239,X1238,X1236,X1235,X1237,X1234),inference(split_conjunct,status(thm),[c349])).
% 88.38/88.64 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 88.38/88.64 fof(c279,axiom,(![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])).
% 88.38/88.64 fof(c280,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|(![P]:(![Q]:eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(shift_quantors,status(thm),[c279])).
% 88.38/88.64 fof(c282,axiom,(![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(c281,axiom,(![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),[c280])).])).
% 88.38/88.64 cnf(c283,axiom,~para(X1082,X1080,X1077,X1081)|eqangle(X1082,X1080,X1078,X1079,X1077,X1081,X1078,X1079),inference(split_conjunct,status(thm),[c282])).
% 88.38/88.64 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 88.38/88.64 fof(c383,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 88.38/88.64 fof(c384,axiom,(![X499]:(![X500]:(![X501]:(![X502]:(~perp(X499,X500,X501,X502)|perp(X501,X502,X499,X500)))))),inference(variable_rename,status(thm),[c383])).
% 88.38/88.64 cnf(c385,axiom,~perp(X649,X646,X647,X648)|perp(X647,X648,X649,X646),inference(split_conjunct,status(thm),[c384])).
% 88.38/88.64 cnf(c16,negated_conjecture,circle(skolem0004,skolem0001,skolem0002,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 88.38/88.64 fof(ruleX11,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(circle(O,A,B,C)=>perp(P,A,A,O))))))),input).
% 88.38/88.64 fof(c70,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(~circle(O,A,B,C)|perp(P,A,A,O))))))),inference(fof_nnf,status(thm),[ruleX11])).
% 88.38/88.64 fof(c71,axiom,(![A]:(![B]:(![C]:(![O]:(~circle(O,A,B,C)|(?[P]:perp(P,A,A,O))))))),inference(shift_quantors,status(thm),[c70])).
% 88.38/88.64 fof(c72,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(~circle(X55,X52,X53,X54)|(?[X56]:perp(X56,X52,X52,X55))))))),inference(variable_rename,status(thm),[c71])).
% 88.38/88.64 fof(c73,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(~circle(X55,X52,X53,X54)|perp(skolem0017(X52,X53,X54,X55),X52,X52,X55)))))),inference(skolemize,status(esa),[c72])).
% 88.38/88.64 cnf(c74,axiom,~circle(X789,X786,X788,X787)|perp(skolem0017(X786,X788,X787,X789),X786,X786,X789),inference(split_conjunct,status(thm),[c73])).
% 88.38/88.64 cnf(c593,plain,perp(skolem0017(skolem0001,skolem0002,skolem0003,skolem0004),skolem0001,skolem0001,skolem0004),inference(resolution,status(thm),[c74, c16])).
% 88.38/88.64 cnf(c1508,plain,perp(skolem0001,skolem0004,skolem0017(skolem0001,skolem0002,skolem0003,skolem0004),skolem0001),inference(resolution,status(thm),[c593, c385])).
% 88.38/88.64 fof(ruleD9,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((perp(A,B,C,D)&perp(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 88.38/88.64 fof(c380,axiom,(![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])).
% 88.38/88.64 fof(c381,axiom,(![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),[c380])).
% 88.38/88.64 cnf(c382,axiom,~perp(X1278,X1274,X1273,X1275)|~perp(X1273,X1275,X1277,X1276)|para(X1278,X1274,X1277,X1276),inference(split_conjunct,status(thm),[c381])).
% 88.38/88.64 cnf(c1509,plain,~perp(X2613,X2614,skolem0017(skolem0001,skolem0002,skolem0003,skolem0004),skolem0001)|para(X2613,X2614,skolem0001,skolem0004),inference(resolution,status(thm),[c593, c382])).
% 88.38/88.64 cnf(c2934,plain,para(skolem0001,skolem0004,skolem0001,skolem0004),inference(resolution,status(thm),[c1509, c1508])).
% 88.38/88.64 cnf(c2953,plain,eqangle(skolem0001,skolem0004,X2913,X2914,skolem0001,skolem0004,X2913,X2914),inference(resolution,status(thm),[c2934, c283])).
% 88.38/88.64 cnf(c4779,plain,eqangle(X3893,X3894,skolem0001,skolem0004,X3893,X3894,skolem0001,skolem0004),inference(resolution,status(thm),[c2953, c350])).
% 88.38/88.64 cnf(c6461,plain,para(X3898,X3899,X3898,X3899),inference(resolution,status(thm),[c4779, c288])).
% 88.38/88.64 cnf(c6476,plain,coll(X3901,X3900,X3900),inference(resolution,status(thm),[c6461, c189])).
% 88.38/88.64 cnf(c6493,plain,coll(X3902,X3903,X3902),inference(resolution,status(thm),[c6476, c403])).
% 88.38/88.64 cnf(c6850,plain,coll(X3912,X3912,X3911),inference(resolution,status(thm),[c6493, c406])).
% 88.38/88.64 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 88.38/88.64 fof(c398,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 88.38/88.64 fof(c399,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c398])).
% 88.38/88.64 cnf(c400,axiom,~coll(X685,X686,X684)|~coll(X685,X686,X687)|coll(X684,X687,X685),inference(split_conjunct,status(thm),[c399])).
% 88.38/88.64 cnf(c7232,plain,~coll(X4990,X4990,X4989)|coll(X4989,X4991,X4990),inference(resolution,status(thm),[c6850, c400])).
% 88.38/88.64 cnf(c11227,plain,coll(X4996,X4994,X4995),inference(resolution,status(thm),[c7232, c6850])).
% 88.38/88.64 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 88.38/88.64 fof(c184,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 88.38/88.64 fof(c185,axiom,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,status(thm),[c184])).
% 88.38/88.64 cnf(c186,axiom,~cong(X949,X951,X949,X950)|~coll(X949,X951,X950)|midp(X949,X951,X950),inference(split_conjunct,status(thm),[c185])).
% 88.38/88.64 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 88.38/88.64 fof(c336,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 88.38/88.64 fof(c337,axiom,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,status(thm),[c336])).
% 88.38/88.64 cnf(c338,axiom,~cong(X614,X617,X615,X616)|cong(X614,X617,X616,X615),inference(split_conjunct,status(thm),[c337])).
% 88.38/88.64 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 88.38/88.64 fof(c360,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 88.38/88.64 fof(c361,axiom,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,status(thm),[c360])).
% 88.38/88.64 cnf(c362,axiom,~cyclic(X625,X624,X622,X623)|cyclic(X625,X622,X624,X623),inference(split_conjunct,status(thm),[c361])).
% 88.38/88.64 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)))))),input).
% 88.38/88.64 fof(c269,axiom,(![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])).
% 88.38/88.64 fof(c270,axiom,(![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),[c269])).
% 88.38/88.64 cnf(c271,axiom,~eqangle(X1066,X1065,X1066,X1064,X1067,X1065,X1067,X1064)|~coll(X1066,X1067,X1064)|cyclic(X1065,X1064,X1066,X1067),inference(split_conjunct,status(thm),[c270])).
% 88.38/88.64 cnf(c6475,plain,eqangle(X4776,X4773,X4774,X4775,X4776,X4773,X4774,X4775),inference(resolution,status(thm),[c6461, c283])).
% 88.38/88.64 cnf(c11021,plain,~coll(X5320,X5320,X5318)|cyclic(X5319,X5318,X5320,X5320),inference(resolution,status(thm),[c6475, c271])).
% 88.38/88.64 cnf(c11557,plain,cyclic(X5324,X5325,X5326,X5326),inference(resolution,status(thm),[c11021, c11227])).
% 88.38/88.64 cnf(c11564,plain,cyclic(X5335,X5333,X5334,X5333),inference(resolution,status(thm),[c11557, c362])).
% 88.38/88.64 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)))))))),input).
% 88.38/88.64 fof(c264,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)))))))),inference(fof_nnf,status(thm),[ruleD43])).
% 88.38/88.64 fof(c265,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))))))),inference(shift_quantors,status(thm),[c264])).
% 88.38/88.64 fof(c267,axiom,(![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(c266,axiom,(![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),[c265])).])).
% 88.38/88.64 cnf(c268,axiom,~cyclic(X1060,X1058,X1059,X1061)|~cyclic(X1060,X1058,X1059,X1062)|~cyclic(X1060,X1058,X1059,X1063)|~eqangle(X1059,X1060,X1059,X1058,X1063,X1061,X1063,X1062)|cong(X1060,X1058,X1061,X1062),inference(split_conjunct,status(thm),[c267])).
% 88.38/88.64 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)))))))))),input).
% 88.38/88.64 fof(c342,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)))))))))),inference(fof_nnf,status(thm),[ruleD21])).
% 88.38/88.64 fof(c343,axiom,(![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),[c342])).
% 88.38/88.64 cnf(c344,axiom,~eqangle(X1216,X1223,X1220,X1218,X1221,X1219,X1217,X1222)|eqangle(X1216,X1223,X1221,X1219,X1220,X1218,X1217,X1222),inference(split_conjunct,status(thm),[c343])).
% 88.38/88.64 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 88.38/88.64 fof(c395,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 88.38/88.64 fof(c396,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c395])).
% 88.38/88.64 cnf(c397,axiom,~para(X658,X661,X660,X659)|para(X658,X661,X659,X660),inference(split_conjunct,status(thm),[c396])).
% 88.38/88.64 cnf(c6488,plain,para(X3919,X3920,X3920,X3919),inference(resolution,status(thm),[c6461, c397])).
% 88.38/88.64 cnf(c7323,plain,eqangle(X5132,X5131,X5130,X5133,X5131,X5132,X5130,X5133),inference(resolution,status(thm),[c6488, c283])).
% 88.38/88.64 cnf(c11387,plain,eqangle(X5169,X5171,X5172,X5170,X5169,X5171,X5170,X5172),inference(resolution,status(thm),[c7323, c350])).
% 88.38/88.64 cnf(c11434,plain,eqangle(X5227,X5225,X5227,X5225,X5224,X5226,X5226,X5224),inference(resolution,status(thm),[c11387, c344])).
% 88.38/88.64 cnf(c11485,plain,~cyclic(X6275,X6275,X6276,X6277)|cong(X6275,X6275,X6277,X6277),inference(resolution,status(thm),[c11434, c268])).
% 88.38/88.64 cnf(c12157,plain,cong(X6278,X6278,X6278,X6278),inference(resolution,status(thm),[c11485, c11564])).
% 88.38/88.64 cnf(c12172,plain,~coll(X6296,X6296,X6296)|midp(X6296,X6296,X6296),inference(resolution,status(thm),[c12157, c186])).
% 88.38/88.64 cnf(c12221,plain,midp(X6297,X6297,X6297),inference(resolution,status(thm),[c12172, c11227])).
% 88.38/88.64 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 88.38/88.64 fof(c236,axiom,(![A]:(![B]:(![C]:(![M]:((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M)))))),inference(fof_nnf,status(thm),[ruleD52])).
% 88.38/88.64 fof(c237,axiom,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,status(thm),[c236])).
% 88.38/88.64 cnf(c238,axiom,~perp(X1013,X1011,X1011,X1014)|~midp(X1012,X1013,X1014)|cong(X1013,X1012,X1011,X1012),inference(split_conjunct,status(thm),[c237])).
% 88.38/88.64 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)))))))))),input).
% 88.38/88.64 fof(c157,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)))))))))),inference(fof_nnf,status(thm),[ruleD74])).
% 88.38/88.64 fof(c158,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)))))),inference(shift_quantors,status(thm),[c157])).
% 88.38/88.64 fof(c160,axiom,(![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(c159,axiom,(![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),[c158])).])).
% 88.38/88.64 cnf(c161,axiom,~eqangle(X921,X923,X922,X920,X925,X926,X919,X924)|~perp(X925,X926,X919,X924)|perp(X921,X923,X922,X920),inference(split_conjunct,status(thm),[c160])).
% 88.38/88.64 fof(ruleD18,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(B,A,C,D,P,Q,U,V)))))))))),input).
% 88.38/88.64 fof(c351,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD18])).
% 88.38/88.64 fof(c352,axiom,(![X450]:(![X451]:(![X452]:(![X453]:(![X454]:(![X455]:(![X456]:(![X457]:(~eqangle(X450,X451,X452,X453,X454,X455,X456,X457)|eqangle(X451,X450,X452,X453,X454,X455,X456,X457)))))))))),inference(variable_rename,status(thm),[c351])).
% 88.38/88.64 cnf(c353,axiom,~eqangle(X1242,X1248,X1241,X1246,X1243,X1247,X1244,X1245)|eqangle(X1248,X1242,X1241,X1246,X1243,X1247,X1244,X1245),inference(split_conjunct,status(thm),[c352])).
% 88.38/88.64 cnf(c11431,plain,eqangle(X5218,X5215,X5216,X5217,X5215,X5218,X5217,X5216),inference(resolution,status(thm),[c11387, c353])).
% 88.38/88.64 cnf(c11478,plain,eqangle(X5265,X5267,X5267,X5265,X5264,X5266,X5266,X5264),inference(resolution,status(thm),[c11431, c344])).
% 88.38/88.64 cnf(c11517,plain,~perp(X6329,X6330,X6330,X6329)|perp(X6331,X6332,X6332,X6331),inference(resolution,status(thm),[c11478, c161])).
% 88.38/88.64 cnf(c12158,plain,cong(X6280,X6280,X6279,X6279),inference(resolution,status(thm),[c11485, c11557])).
% 88.38/88.64 fof(ruleD57,axiom,(![A]:(![B]:(![P]:(![Q]:(((cong(A,P,B,P)&cong(A,Q,B,Q))&cyclic(A,B,P,Q))=>perp(P,A,A,Q)))))),input).
% 88.38/88.64 fof(c219,axiom,(![A]:(![B]:(![P]:(![Q]:(((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q)))))),inference(fof_nnf,status(thm),[ruleD57])).
% 88.38/88.64 fof(c220,axiom,(![X212]:(![X213]:(![X214]:(![X215]:(((~cong(X212,X214,X213,X214)|~cong(X212,X215,X213,X215))|~cyclic(X212,X213,X214,X215))|perp(X214,X212,X212,X215)))))),inference(variable_rename,status(thm),[c219])).
% 88.38/88.64 cnf(c221,axiom,~cong(X992,X991,X993,X991)|~cong(X992,X994,X993,X994)|~cyclic(X992,X993,X991,X994)|perp(X991,X992,X992,X994),inference(split_conjunct,status(thm),[c220])).
% 88.38/88.64 cnf(c11563,plain,~cong(X6342,X6341,X6340,X6341)|perp(X6341,X6342,X6342,X6341),inference(resolution,status(thm),[c11557, c221])).
% 88.38/88.64 cnf(c12346,plain,perp(X6343,X6343,X6343,X6343),inference(resolution,status(thm),[c11563, c12158])).
% 88.38/88.64 cnf(c12364,plain,perp(X6352,X6351,X6351,X6352),inference(resolution,status(thm),[c12346, c11517])).
% 88.38/88.64 cnf(c12451,plain,~midp(X6399,X6400,X6400)|cong(X6400,X6399,X6401,X6399),inference(resolution,status(thm),[c12364, c238])).
% 88.38/88.64 cnf(c12464,plain,cong(X6404,X6404,X6405,X6404),inference(resolution,status(thm),[c12451, c12221])).
% 88.38/88.64 cnf(c12468,plain,cong(X6407,X6407,X6407,X6406),inference(resolution,status(thm),[c12464, c338])).
% 88.38/88.64 cnf(c12503,plain,~coll(X6426,X6426,X6427)|midp(X6426,X6426,X6427),inference(resolution,status(thm),[c12468, c186])).
% 88.38/88.64 cnf(c12581,plain,midp(X6429,X6429,X6428),inference(resolution,status(thm),[c12503, c11227])).
% 88.38/88.64 cnf(c12745,plain,~midp(X7298,X7301,X7300)|para(X7301,X7298,X7300,X7299),inference(resolution,status(thm),[c12581, c200])).
% 88.38/88.64 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 88.38/88.64 fof(c333,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 88.38/88.64 fof(c334,axiom,(![X406]:(![X407]:(![X408]:(![X409]:(~cong(X406,X407,X408,X409)|cong(X408,X409,X406,X407)))))),inference(variable_rename,status(thm),[c333])).
% 88.38/88.64 cnf(c335,axiom,~cong(X611,X610,X613,X612)|cong(X613,X612,X611,X610),inference(split_conjunct,status(thm),[c334])).
% 88.38/88.64 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 88.38/88.64 fof(c374,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 88.38/88.64 fof(c375,axiom,(![X484]:(![X485]:(![X486]:(~midp(X486,X485,X484)|midp(X486,X484,X485))))),inference(variable_rename,status(thm),[c374])).
% 88.38/88.64 cnf(c376,axiom,~midp(X551,X549,X550)|midp(X551,X550,X549),inference(split_conjunct,status(thm),[c375])).
% 88.38/88.64 cnf(c13108,plain,midp(X6430,X6431,X6430),inference(resolution,status(thm),[c12581, c376])).
% 88.38/88.64 cnf(c14536,plain,para(X7305,X7306,X7306,X7307),inference(resolution,status(thm),[c12745, c13108])).
% 88.38/88.64 cnf(c14602,plain,para(X7335,X7336,X7337,X7336),inference(resolution,status(thm),[c14536, c397])).
% 88.38/88.64 fof(ruleD64,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((midp(M,A,B)¶(A,C,B,D))¶(A,D,B,C))=>midp(M,C,D))))))),input).
% 88.38/88.64 fof(c193,axiom,(![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])).
% 88.38/88.64 fof(c194,axiom,(![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),[c193])).
% 88.38/88.64 cnf(c195,axiom,~midp(X959,X960,X957)|~para(X960,X958,X957,X961)|~para(X960,X961,X957,X958)|midp(X959,X958,X961),inference(split_conjunct,status(thm),[c194])).
% 88.38/88.64 cnf(c6469,plain,~midp(X17624,X17626,X17626)|~para(X17626,X17625,X17626,X17625)|midp(X17624,X17625,X17625),inference(resolution,status(thm),[c6461, c195])).
% 88.38/88.64 cnf(c31337,plain,~midp(X17834,X17833,X17833)|midp(X17834,X17832,X17832),inference(resolution,status(thm),[c6469, c14602])).
% 88.38/88.64 cnf(c31377,plain,midp(X17836,X17835,X17835),inference(resolution,status(thm),[c31337, c12581])).
% 88.38/88.64 cnf(c31497,plain,cong(X17857,X17856,X17858,X17856),inference(resolution,status(thm),[c31377, c12451])).
% 88.38/88.64 cnf(c31550,plain,cong(X17867,X17869,X17869,X17868),inference(resolution,status(thm),[c31497, c338])).
% 88.38/88.64 cnf(c31639,plain,cong(X17884,X17886,X17885,X17884),inference(resolution,status(thm),[c31550, c335])).
% 88.38/88.65 cnf(c31673,plain,cong(X17889,X17887,X17889,X17888),inference(resolution,status(thm),[c31639, c338])).
% 88.38/88.65 cnf(c31714,plain,~coll(X17931,X17930,X17932)|midp(X17931,X17930,X17932),inference(resolution,status(thm),[c31673, c186])).
% 88.38/88.65 cnf(c31744,plain,midp(X17935,X17934,X17933),inference(resolution,status(thm),[c31714, c11227])).
% 88.38/88.65 cnf(c31746,plain,para(X17940,X17943,X17941,X17942),inference(resolution,status(thm),[c31744, c12745])).
% 88.38/88.65 fof(ruleD10,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)&perp(C,D,E,F))=>perp(A,B,E,F)))))))),input).
% 88.38/88.65 fof(c377,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD10])).
% 88.38/88.65 fof(c378,axiom,(![X487]:(![X488]:(![X489]:(![X490]:(![X491]:(![X492]:((~para(X487,X488,X489,X490)|~perp(X489,X490,X491,X492))|perp(X487,X488,X491,X492)))))))),inference(variable_rename,status(thm),[c377])).
% 88.38/88.65 cnf(c379,axiom,~para(X1269,X1268,X1267,X1272)|~perp(X1267,X1272,X1270,X1271)|perp(X1269,X1268,X1270,X1271),inference(split_conjunct,status(thm),[c378])).
% 88.38/88.65 cnf(c11486,plain,~perp(X6314,X6315,X6315,X6314)|perp(X6317,X6316,X6317,X6316),inference(resolution,status(thm),[c11434, c161])).
% 88.38/88.65 cnf(c12360,plain,perp(X6349,X6348,X6349,X6348),inference(resolution,status(thm),[c12346, c11486])).
% 88.38/88.65 cnf(c12414,plain,~para(X19074,X19077,X19075,X19076)|perp(X19074,X19077,X19075,X19076),inference(resolution,status(thm),[c12360, c379])).
% 88.38/88.65 cnf(c32623,plain,perp(X19078,X19079,X19081,X19080),inference(resolution,status(thm),[c12414, c31746])).
% 88.38/88.65 cnf(c32624,plain,$false,inference(resolution,status(thm),[c32623, c21])).
% 88.38/88.65 # SZS output end CNFRefutation
% 88.38/88.65
% 88.38/88.65 # Initial clauses : 133
% 88.38/88.65 # Processed clauses : 3840
% 88.38/88.65 # Factors computed : 0
% 88.38/88.65 # Resolvents computed: 32219
% 88.38/88.65 # Tautologies deleted: 32
% 88.38/88.65 # Forward subsumed : 12721
% 88.38/88.65 # Backward subsumed : 3673
% 88.38/88.65 # -------- CPU Time ---------
% 88.38/88.65 # User time : 88.286 s
% 88.38/88.65 # System time : 0.056 s
% 88.38/88.65 # Total time : 88.341 s
%------------------------------------------------------------------------------