TSTP Solution File: GEO635+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 06:01:16 EDT 2022
% Result : Theorem 103.98s 104.21s
% Output : Refutation 103.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 20:04:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 103.98/104.21 # Version: 1.3
% 103.98/104.21 # SZS status Theorem
% 103.98/104.21 # SZS output start CNFRefutation
% 103.98/104.21 fof(exemplo6GDDFULL8110998,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![NWPNT1]:(![NWPNT2]:((((((circle(D,A,B,C)&coll(E,A,B))&circle(D,A,F,NWPNT1))&eqangle(A,C,C,E,F,C,C,B))&circle(D,C,G,NWPNT2))&coll(G,C,E))=>para(A,B,G,F))))))))))),input).
% 103.98/104.21 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![NWPNT1]:(![NWPNT2]:((((((circle(D,A,B,C)&coll(E,A,B))&circle(D,A,F,NWPNT1))&eqangle(A,C,C,E,F,C,C,B))&circle(D,C,G,NWPNT2))&coll(G,C,E))=>para(A,B,G,F)))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL8110998])).
% 103.98/104.21 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(?[NWPNT1]:(?[NWPNT2]:((((((circle(D,A,B,C)&coll(E,A,B))&circle(D,A,F,NWPNT1))&eqangle(A,C,C,E,F,C,C,B))&circle(D,C,G,NWPNT2))&coll(G,C,E))&~para(A,B,G,F))))))))))),inference(fof_nnf,status(thm),[c11])).
% 103.98/104.21 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:((((((circle(D,A,B,C)&coll(E,A,B))&(?[NWPNT1]:circle(D,A,F,NWPNT1)))&eqangle(A,C,C,E,F,C,C,B))&(?[NWPNT2]:circle(D,C,G,NWPNT2)))&coll(G,C,E))&~para(A,B,G,F))))))))),inference(shift_quantors,status(thm),[c12])).
% 103.98/104.21 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:((((((circle(X5,X2,X3,X4)&coll(X6,X2,X3))&(?[X9]:circle(X5,X2,X7,X9)))&eqangle(X2,X4,X4,X6,X7,X4,X4,X3))&(?[X10]:circle(X5,X4,X8,X10)))&coll(X8,X4,X6))&~para(X2,X3,X8,X7))))))))),inference(variable_rename,status(thm),[c13])).
% 103.98/104.21 fof(c15,negated_conjecture,((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&coll(skolem0005,skolem0001,skolem0002))&circle(skolem0004,skolem0001,skolem0006,skolem0008))&eqangle(skolem0001,skolem0003,skolem0003,skolem0005,skolem0006,skolem0003,skolem0003,skolem0002))&circle(skolem0004,skolem0003,skolem0007,skolem0009))&coll(skolem0007,skolem0003,skolem0005))&~para(skolem0001,skolem0002,skolem0007,skolem0006)),inference(skolemize,status(esa),[c14])).
% 103.98/104.21 cnf(c22,negated_conjecture,~para(skolem0001,skolem0002,skolem0007,skolem0006),inference(split_conjunct,status(thm),[c15])).
% 103.98/104.21 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 103.98/104.21 fof(c197,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])).
% 103.98/104.21 fof(c198,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c197])).
% 103.98/104.21 fof(c200,axiom,(![X178]:(![X179]:(![X180]:(![X181]:(![X182]:((~midp(X182,X178,X179)|~midp(X182,X180,X181))|para(X178,X180,X179,X181))))))),inference(shift_quantors,status(thm),[fof(c199,axiom,(![X178]:(![X179]:(![X180]:(![X181]:((![X182]:(~midp(X182,X178,X179)|~midp(X182,X180,X181)))|para(X178,X180,X179,X181)))))),inference(variable_rename,status(thm),[c198])).])).
% 103.98/104.21 cnf(c201,axiom,~midp(X966,X970,X969)|~midp(X966,X967,X968)|para(X970,X967,X969,X968),inference(split_conjunct,status(thm),[c200])).
% 103.98/104.21 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 103.98/104.21 fof(c405,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 103.98/104.21 fof(c406,axiom,(![X529]:(![X530]:(![X531]:(~coll(X529,X530,X531)|coll(X529,X531,X530))))),inference(variable_rename,status(thm),[c405])).
% 103.98/104.21 cnf(c407,axiom,~coll(X566,X564,X565)|coll(X566,X565,X564),inference(split_conjunct,status(thm),[c406])).
% 103.98/104.21 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 103.98/104.21 fof(c402,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 103.98/104.21 fof(c403,axiom,(![X526]:(![X527]:(![X528]:(~coll(X526,X527,X528)|coll(X527,X526,X528))))),inference(variable_rename,status(thm),[c402])).
% 103.98/104.21 cnf(c404,axiom,~coll(X554,X553,X555)|coll(X553,X554,X555),inference(split_conjunct,status(thm),[c403])).
% 103.98/104.21 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 103.98/104.21 fof(c188,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 103.98/104.21 fof(c189,axiom,(![X165]:(![X166]:(![X167]:(~para(X165,X166,X165,X167)|coll(X165,X166,X167))))),inference(variable_rename,status(thm),[c188])).
% 103.98/104.21 cnf(c190,axiom,~para(X600,X601,X600,X602)|coll(X600,X601,X602),inference(split_conjunct,status(thm),[c189])).
% 103.98/104.21 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 103.98/104.21 fof(c285,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])).
% 103.98/104.21 fof(c286,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),[c285])).
% 103.98/104.21 fof(c288,axiom,(![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(c287,axiom,(![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),[c286])).])).
% 103.98/104.21 cnf(c289,axiom,~eqangle(X1084,X1088,X1087,X1085,X1089,X1086,X1087,X1085)|para(X1084,X1088,X1089,X1086),inference(split_conjunct,status(thm),[c288])).
% 103.98/104.21 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).
% 103.98/104.21 fof(c349,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])).
% 103.98/104.21 fof(c350,axiom,(![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),[c349])).
% 103.98/104.21 cnf(c351,axiom,~eqangle(X1240,X1237,X1239,X1238,X1236,X1235,X1241,X1234)|eqangle(X1239,X1238,X1240,X1237,X1241,X1234,X1236,X1235),inference(split_conjunct,status(thm),[c350])).
% 103.98/104.21 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 103.98/104.21 fof(c280,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])).
% 103.98/104.21 fof(c281,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),[c280])).
% 103.98/104.21 fof(c283,axiom,(![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(c282,axiom,(![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),[c281])).])).
% 103.98/104.21 cnf(c284,axiom,~para(X1078,X1079,X1077,X1081)|eqangle(X1078,X1079,X1082,X1080,X1077,X1081,X1082,X1080),inference(split_conjunct,status(thm),[c283])).
% 103.98/104.21 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 103.98/104.21 fof(c396,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 103.98/104.21 fof(c397,axiom,(![X518]:(![X519]:(![X520]:(![X521]:(~para(X518,X519,X520,X521)|para(X518,X519,X521,X520)))))),inference(variable_rename,status(thm),[c396])).
% 103.98/104.21 cnf(c398,axiom,~para(X661,X660,X662,X659)|para(X661,X660,X659,X662),inference(split_conjunct,status(thm),[c397])).
% 103.98/104.21 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).
% 103.98/104.21 fof(c352,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])).
% 103.98/104.21 fof(c353,axiom,(![X451]:(![X452]:(![X453]:(![X454]:(![X455]:(![X456]:(![X457]:(![X458]:(~eqangle(X451,X452,X453,X454,X455,X456,X457,X458)|eqangle(X452,X451,X453,X454,X455,X456,X457,X458)))))))))),inference(variable_rename,status(thm),[c352])).
% 103.98/104.21 cnf(c354,axiom,~eqangle(X1243,X1250,X1245,X1248,X1249,X1247,X1244,X1246)|eqangle(X1250,X1243,X1245,X1248,X1249,X1247,X1244,X1246),inference(split_conjunct,status(thm),[c353])).
% 103.98/104.21 cnf(c19,negated_conjecture,eqangle(skolem0001,skolem0003,skolem0003,skolem0005,skolem0006,skolem0003,skolem0003,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 103.98/104.21 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)))))))))),input).
% 103.98/104.21 fof(c346,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)))))))))),inference(fof_nnf,status(thm),[ruleD20])).
% 103.98/104.21 fof(c347,axiom,(![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),[c346])).
% 103.98/104.21 cnf(c348,axiom,~eqangle(X1231,X1228,X1229,X1232,X1225,X1230,X1226,X1227)|eqangle(X1225,X1230,X1226,X1227,X1231,X1228,X1229,X1232),inference(split_conjunct,status(thm),[c347])).
% 103.98/104.21 cnf(c1242,plain,eqangle(skolem0006,skolem0003,skolem0003,skolem0002,skolem0001,skolem0003,skolem0003,skolem0005),inference(resolution,status(thm),[c348, c19])).
% 103.98/104.21 cnf(c2262,plain,eqangle(skolem0003,skolem0006,skolem0003,skolem0002,skolem0001,skolem0003,skolem0003,skolem0005),inference(resolution,status(thm),[c1242, c354])).
% 103.98/104.21 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)))))))))))))),input).
% 103.98/104.21 fof(c340,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)))))))))))))),inference(fof_nnf,status(thm),[ruleD22])).
% 103.98/104.21 fof(c341,axiom,(![X415]:(![X416]:(![X417]:(![X418]:(![X419]:(![X420]:(![X421]:(![X422]:(![X423]:(![X424]:(![X425]:(![X426]:((~eqangle(X415,X416,X417,X418,X419,X420,X421,X422)|~eqangle(X419,X420,X421,X422,X423,X424,X425,X426))|eqangle(X415,X416,X417,X418,X423,X424,X425,X426)))))))))))))),inference(variable_rename,status(thm),[c340])).
% 103.98/104.21 cnf(c342,axiom,~eqangle(X1204,X1214,X1208,X1213,X1205,X1215,X1211,X1210)|~eqangle(X1205,X1215,X1211,X1210,X1206,X1212,X1209,X1207)|eqangle(X1204,X1214,X1208,X1213,X1206,X1212,X1209,X1207),inference(split_conjunct,status(thm),[c341])).
% 103.98/104.21 cnf(c1235,plain,~eqangle(X2641,X2644,X2643,X2642,skolem0001,skolem0003,skolem0003,skolem0005)|eqangle(X2641,X2644,X2643,X2642,skolem0006,skolem0003,skolem0003,skolem0002),inference(resolution,status(thm),[c342, c19])).
% 103.98/104.21 cnf(c3968,plain,eqangle(skolem0003,skolem0006,skolem0003,skolem0002,skolem0006,skolem0003,skolem0003,skolem0002),inference(resolution,status(thm),[c1235, c2262])).
% 103.98/104.21 cnf(c4025,plain,para(skolem0003,skolem0006,skolem0006,skolem0003),inference(resolution,status(thm),[c3968, c289])).
% 103.98/104.21 cnf(c4046,plain,para(skolem0003,skolem0006,skolem0003,skolem0006),inference(resolution,status(thm),[c4025, c398])).
% 103.98/104.21 cnf(c4065,plain,eqangle(skolem0003,skolem0006,X2986,X2987,skolem0003,skolem0006,X2986,X2987),inference(resolution,status(thm),[c4046, c284])).
% 103.98/104.21 cnf(c5822,plain,eqangle(X3978,X3979,skolem0003,skolem0006,X3978,X3979,skolem0003,skolem0006),inference(resolution,status(thm),[c4065, c351])).
% 103.98/104.21 cnf(c7598,plain,para(X3981,X3980,X3981,X3980),inference(resolution,status(thm),[c5822, c289])).
% 103.98/104.21 cnf(c7614,plain,coll(X3982,X3983,X3983),inference(resolution,status(thm),[c7598, c190])).
% 103.98/104.21 cnf(c7860,plain,coll(X3985,X3984,X3985),inference(resolution,status(thm),[c7614, c404])).
% 103.98/104.21 cnf(c8275,plain,coll(X3991,X3991,X3990),inference(resolution,status(thm),[c7860, c407])).
% 103.98/104.21 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 103.98/104.21 fof(c399,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 103.98/104.21 fof(c400,axiom,(![X522]:(![X523]:(![X524]:(![X525]:((~coll(X522,X523,X524)|~coll(X522,X523,X525))|coll(X524,X525,X522)))))),inference(variable_rename,status(thm),[c399])).
% 103.98/104.21 cnf(c401,axiom,~coll(X688,X686,X687)|~coll(X688,X686,X685)|coll(X687,X685,X688),inference(split_conjunct,status(thm),[c400])).
% 103.98/104.21 cnf(c8388,plain,~coll(X5128,X5128,X5129)|coll(X5129,X5130,X5128),inference(resolution,status(thm),[c8275, c401])).
% 103.98/104.21 cnf(c12557,plain,coll(X5137,X5136,X5135),inference(resolution,status(thm),[c8388, c8275])).
% 103.98/104.21 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 103.98/104.21 fof(c185,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 103.98/104.21 fof(c186,axiom,(![X162]:(![X163]:(![X164]:((~cong(X162,X163,X162,X164)|~coll(X162,X163,X164))|midp(X162,X163,X164))))),inference(variable_rename,status(thm),[c185])).
% 103.98/104.21 cnf(c187,axiom,~cong(X955,X954,X955,X953)|~coll(X955,X954,X953)|midp(X955,X954,X953),inference(split_conjunct,status(thm),[c186])).
% 103.98/104.21 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 103.98/104.21 fof(c337,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 103.98/104.21 fof(c338,axiom,(![X411]:(![X412]:(![X413]:(![X414]:(~cong(X411,X412,X413,X414)|cong(X411,X412,X414,X413)))))),inference(variable_rename,status(thm),[c337])).
% 103.98/104.21 cnf(c339,axiom,~cong(X616,X617,X618,X615)|cong(X616,X617,X615,X618),inference(split_conjunct,status(thm),[c338])).
% 103.98/104.21 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 103.98/104.21 fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 103.98/104.21 fof(c362,axiom,(![X468]:(![X469]:(![X470]:(![X471]:(~cyclic(X468,X469,X470,X471)|cyclic(X468,X470,X469,X471)))))),inference(variable_rename,status(thm),[c361])).
% 103.98/104.21 cnf(c363,axiom,~cyclic(X623,X624,X625,X626)|cyclic(X623,X625,X624,X626),inference(split_conjunct,status(thm),[c362])).
% 103.98/104.21 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 103.98/104.21 fof(c364,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 103.98/104.21 fof(c365,axiom,(![X472]:(![X473]:(![X474]:(![X475]:(~cyclic(X472,X473,X474,X475)|cyclic(X472,X473,X475,X474)))))),inference(variable_rename,status(thm),[c364])).
% 103.98/104.21 cnf(c366,axiom,~cyclic(X629,X628,X630,X627)|cyclic(X629,X628,X627,X630),inference(split_conjunct,status(thm),[c365])).
% 103.98/104.21 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 103.98/104.21 fof(c358,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 103.98/104.21 fof(c359,axiom,(![X464]:(![X465]:(![X466]:(![X467]:(~cyclic(X464,X465,X466,X467)|cyclic(X465,X464,X466,X467)))))),inference(variable_rename,status(thm),[c358])).
% 103.98/104.21 cnf(c360,axiom,~cyclic(X621,X619,X620,X622)|cyclic(X619,X621,X620,X622),inference(split_conjunct,status(thm),[c359])).
% 103.98/104.21 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).
% 103.98/104.21 fof(c270,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])).
% 103.98/104.21 fof(c271,axiom,(![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),[c270])).
% 103.98/104.21 cnf(c272,axiom,~eqangle(X1065,X1068,X1065,X1066,X1067,X1068,X1067,X1066)|~coll(X1065,X1067,X1066)|cyclic(X1068,X1066,X1065,X1067),inference(split_conjunct,status(thm),[c271])).
% 103.98/104.21 cnf(c7619,plain,eqangle(X4914,X4915,X4912,X4913,X4914,X4915,X4912,X4913),inference(resolution,status(thm),[c7598, c284])).
% 103.98/104.21 cnf(c12281,plain,~coll(X5461,X5461,X5459)|cyclic(X5460,X5459,X5461,X5461),inference(resolution,status(thm),[c7619, c272])).
% 103.98/104.21 cnf(c13119,plain,cyclic(X5464,X5463,X5462,X5462),inference(resolution,status(thm),[c12281, c12557])).
% 103.98/104.21 cnf(c13129,plain,cyclic(X5472,X5473,X5471,X5473),inference(resolution,status(thm),[c13119, c363])).
% 103.98/104.21 cnf(c13131,plain,cyclic(X5478,X5479,X5480,X5478),inference(resolution,status(thm),[c13129, c360])).
% 103.98/104.21 cnf(c13150,plain,cyclic(X5491,X5492,X5491,X5490),inference(resolution,status(thm),[c13131, c366])).
% 103.98/104.21 cnf(c13170,plain,cyclic(X5520,X5520,X5519,X5521),inference(resolution,status(thm),[c13150, c363])).
% 103.98/104.21 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).
% 103.98/104.21 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(fof_nnf,status(thm),[ruleD43])).
% 103.98/104.22 fof(c266,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),[c265])).
% 103.98/104.22 fof(c268,axiom,(![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(c267,axiom,(![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),[c266])).])).
% 103.98/104.22 cnf(c269,axiom,~cyclic(X1058,X1062,X1060,X1061)|~cyclic(X1058,X1062,X1060,X1063)|~cyclic(X1058,X1062,X1060,X1059)|~eqangle(X1060,X1058,X1060,X1062,X1059,X1061,X1059,X1063)|cong(X1058,X1062,X1061,X1063),inference(split_conjunct,status(thm),[c268])).
% 103.98/104.22 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).
% 103.98/104.22 fof(c343,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])).
% 103.98/104.22 fof(c344,axiom,(![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),[c343])).
% 103.98/104.22 cnf(c345,axiom,~eqangle(X1222,X1217,X1223,X1224,X1219,X1221,X1220,X1218)|eqangle(X1222,X1217,X1219,X1221,X1223,X1224,X1220,X1218),inference(split_conjunct,status(thm),[c344])).
% 103.98/104.22 cnf(c7616,plain,para(X3998,X3999,X3999,X3998),inference(resolution,status(thm),[c7598, c398])).
% 103.98/104.22 cnf(c8477,plain,eqangle(X5269,X5268,X5266,X5267,X5268,X5269,X5266,X5267),inference(resolution,status(thm),[c7616, c284])).
% 103.98/104.22 cnf(c12755,plain,eqangle(X5308,X5310,X5309,X5311,X5308,X5310,X5311,X5309),inference(resolution,status(thm),[c8477, c351])).
% 103.98/104.22 cnf(c12875,plain,eqangle(X5363,X5365,X5363,X5365,X5364,X5366,X5366,X5364),inference(resolution,status(thm),[c12755, c345])).
% 103.98/104.22 cnf(c12984,plain,~cyclic(X6371,X6371,X6373,X6372)|cong(X6371,X6371,X6372,X6372),inference(resolution,status(thm),[c12875, c269])).
% 103.98/104.22 cnf(c13965,plain,cong(X6375,X6375,X6374,X6374),inference(resolution,status(thm),[c12984, c13170])).
% 103.98/104.22 cnf(c13984,plain,~coll(X6393,X6393,X6393)|midp(X6393,X6393,X6393),inference(resolution,status(thm),[c13965, c187])).
% 103.98/104.22 cnf(c14012,plain,midp(X6394,X6394,X6394),inference(resolution,status(thm),[c13984, c12557])).
% 103.98/104.22 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 103.98/104.22 fof(c237,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])).
% 103.98/104.22 fof(c238,axiom,(![X233]:(![X234]:(![X235]:(![X236]:((~perp(X233,X234,X234,X235)|~midp(X236,X233,X235))|cong(X233,X236,X234,X236)))))),inference(variable_rename,status(thm),[c237])).
% 103.98/104.22 cnf(c239,axiom,~perp(X1018,X1017,X1017,X1016)|~midp(X1015,X1018,X1016)|cong(X1018,X1015,X1017,X1015),inference(split_conjunct,status(thm),[c238])).
% 103.98/104.22 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).
% 103.98/104.22 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(fof_nnf,status(thm),[ruleD74])).
% 103.98/104.22 fof(c159,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),[c158])).
% 103.98/104.22 fof(c161,axiom,(![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(c160,axiom,(![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),[c159])).])).
% 103.98/104.22 cnf(c162,axiom,~eqangle(X928,X929,X925,X930,X924,X927,X923,X926)|~perp(X924,X927,X923,X926)|perp(X928,X929,X925,X930),inference(split_conjunct,status(thm),[c161])).
% 103.98/104.22 cnf(c12847,plain,eqangle(X5348,X5349,X5347,X5346,X5349,X5348,X5346,X5347),inference(resolution,status(thm),[c12755, c354])).
% 103.98/104.22 cnf(c12974,plain,eqangle(X5411,X5409,X5409,X5411,X5410,X5412,X5412,X5410),inference(resolution,status(thm),[c12847, c345])).
% 103.98/104.22 cnf(c13036,plain,~perp(X6421,X6424,X6424,X6421)|perp(X6422,X6423,X6423,X6422),inference(resolution,status(thm),[c12974, c162])).
% 103.98/104.22 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).
% 103.98/104.22 fof(c220,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])).
% 103.98/104.22 fof(c221,axiom,(![X213]:(![X214]:(![X215]:(![X216]:(((~cong(X213,X215,X214,X215)|~cong(X213,X216,X214,X216))|~cyclic(X213,X214,X215,X216))|perp(X215,X213,X213,X216)))))),inference(variable_rename,status(thm),[c220])).
% 103.98/104.22 cnf(c222,axiom,~cong(X998,X997,X995,X997)|~cong(X998,X996,X995,X996)|~cyclic(X998,X995,X997,X996)|perp(X997,X998,X998,X996),inference(split_conjunct,status(thm),[c221])).
% 103.98/104.22 cnf(c13127,plain,~cong(X6438,X6439,X6437,X6439)|perp(X6439,X6438,X6438,X6439),inference(resolution,status(thm),[c13119, c222])).
% 103.98/104.22 cnf(c14110,plain,perp(X6440,X6440,X6440,X6440),inference(resolution,status(thm),[c13127, c13965])).
% 103.98/104.22 cnf(c14124,plain,perp(X6444,X6445,X6445,X6444),inference(resolution,status(thm),[c14110, c13036])).
% 103.98/104.22 cnf(c14197,plain,~midp(X6500,X6501,X6501)|cong(X6501,X6500,X6502,X6500),inference(resolution,status(thm),[c14124, c239])).
% 103.98/104.22 cnf(c14237,plain,cong(X6503,X6503,X6504,X6503),inference(resolution,status(thm),[c14197, c14012])).
% 103.98/104.22 cnf(c14253,plain,cong(X6506,X6506,X6506,X6505),inference(resolution,status(thm),[c14237, c339])).
% 103.98/104.22 cnf(c14280,plain,~coll(X6580,X6580,X6581)|midp(X6580,X6580,X6581),inference(resolution,status(thm),[c14253, c187])).
% 103.98/104.22 cnf(c14478,plain,midp(X6582,X6582,X6583),inference(resolution,status(thm),[c14280, c12557])).
% 103.98/104.22 cnf(c14894,plain,~midp(X9099,X9096,X9098)|para(X9096,X9099,X9098,X9097),inference(resolution,status(thm),[c14478, c201])).
% 103.98/104.22 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 103.98/104.22 fof(c334,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 103.98/104.22 fof(c335,axiom,(![X407]:(![X408]:(![X409]:(![X410]:(~cong(X407,X408,X409,X410)|cong(X409,X410,X407,X408)))))),inference(variable_rename,status(thm),[c334])).
% 103.98/104.22 cnf(c336,axiom,~cong(X614,X612,X613,X611)|cong(X613,X611,X614,X612),inference(split_conjunct,status(thm),[c335])).
% 103.98/104.22 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 103.98/104.22 fof(c226,axiom,(![A]:(![B]:(![M]:(![O]:((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B)))))),inference(fof_nnf,status(thm),[ruleD55])).
% 103.98/104.22 fof(c227,axiom,(![X221]:(![X222]:(![X223]:(![X224]:((~midp(X223,X221,X222)|~perp(X224,X223,X221,X222))|cong(X224,X221,X224,X222)))))),inference(variable_rename,status(thm),[c226])).
% 103.98/104.22 cnf(c228,axiom,~midp(X1005,X1006,X1003)|~perp(X1004,X1005,X1006,X1003)|cong(X1004,X1006,X1004,X1003),inference(split_conjunct,status(thm),[c227])).
% 103.98/104.22 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 103.98/104.22 fof(c393,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 103.98/104.22 fof(c394,axiom,(![X514]:(![X515]:(![X516]:(![X517]:(~para(X514,X515,X516,X517)|para(X516,X517,X514,X515)))))),inference(variable_rename,status(thm),[c393])).
% 103.98/104.22 cnf(c395,axiom,~para(X656,X657,X658,X655)|para(X658,X655,X656,X657),inference(split_conjunct,status(thm),[c394])).
% 103.98/104.22 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 103.98/104.22 fof(c262,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))))))),inference(fof_nnf,status(thm),[ruleD44])).
% 103.98/104.22 fof(c263,axiom,(![X268]:(![X269]:(![X270]:(![X271]:(![X272]:((~midp(X271,X268,X269)|~midp(X272,X268,X270))|para(X271,X272,X269,X270))))))),inference(variable_rename,status(thm),[c262])).
% 103.98/104.22 cnf(c264,axiom,~midp(X1052,X1055,X1056)|~midp(X1054,X1055,X1053)|para(X1052,X1054,X1056,X1053),inference(split_conjunct,status(thm),[c263])).
% 103.98/104.22 cnf(c14687,plain,~midp(X7504,X7503,X7502)|para(X7504,X7503,X7502,X7505),inference(resolution,status(thm),[c14478, c264])).
% 103.98/104.22 cnf(c16715,plain,para(X7507,X7507,X7508,X7506),inference(resolution,status(thm),[c14687, c14478])).
% 103.98/104.22 cnf(c16745,plain,para(X7522,X7521,X7523,X7523),inference(resolution,status(thm),[c16715, c395])).
% 103.98/104.22 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).
% 103.98/104.22 fof(c378,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])).
% 103.98/104.22 fof(c379,axiom,(![X488]:(![X489]:(![X490]:(![X491]:(![X492]:(![X493]:((~para(X488,X489,X490,X491)|~perp(X490,X491,X492,X493))|perp(X488,X489,X492,X493)))))))),inference(variable_rename,status(thm),[c378])).
% 103.98/104.22 cnf(c380,axiom,~para(X1268,X1272,X1270,X1273)|~perp(X1270,X1273,X1271,X1269)|perp(X1268,X1272,X1271,X1269),inference(split_conjunct,status(thm),[c379])).
% 103.98/104.22 cnf(c14132,plain,~para(X12522,X12521,X12523,X12523)|perp(X12522,X12521,X12523,X12523),inference(resolution,status(thm),[c14110, c380])).
% 103.98/104.22 cnf(c25246,plain,perp(X12525,X12524,X12526,X12526),inference(resolution,status(thm),[c14132, c16745])).
% 103.98/104.22 cnf(c25285,plain,~midp(X12914,X12916,X12916)|cong(X12915,X12916,X12915,X12916),inference(resolution,status(thm),[c25246, c228])).
% 103.98/104.22 cnf(c25847,plain,cong(X12917,X12918,X12917,X12918),inference(resolution,status(thm),[c25285, c14478])).
% 103.98/104.22 cnf(c25861,plain,~coll(X12934,X12933,X12933)|midp(X12934,X12933,X12933),inference(resolution,status(thm),[c25847, c187])).
% 103.98/104.22 cnf(c25917,plain,midp(X12935,X12936,X12936),inference(resolution,status(thm),[c25861, c12557])).
% 103.98/104.22 cnf(c25928,plain,cong(X12941,X12939,X12940,X12939),inference(resolution,status(thm),[c25917, c14197])).
% 103.98/104.22 cnf(c26064,plain,cong(X12957,X12959,X12959,X12958),inference(resolution,status(thm),[c25928, c339])).
% 103.98/104.22 cnf(c26096,plain,cong(X12968,X12966,X12967,X12968),inference(resolution,status(thm),[c26064, c336])).
% 103.98/104.22 cnf(c26117,plain,cong(X12970,X12971,X12970,X12969),inference(resolution,status(thm),[c26096, c339])).
% 103.98/104.22 cnf(c26136,plain,~coll(X13019,X13017,X13018)|midp(X13019,X13017,X13018),inference(resolution,status(thm),[c26117, c187])).
% 103.98/104.22 cnf(c26213,plain,midp(X13022,X13021,X13023),inference(resolution,status(thm),[c26136, c12557])).
% 103.98/104.22 cnf(c26216,plain,para(X13027,X13026,X13024,X13025),inference(resolution,status(thm),[c26213, c14894])).
% 103.98/104.22 cnf(c26239,plain,$false,inference(resolution,status(thm),[c26216, c22])).
% 103.98/104.22 # SZS output end CNFRefutation
% 103.98/104.22
% 103.98/104.22 # Initial clauses : 134
% 103.98/104.22 # Processed clauses : 3233
% 103.98/104.22 # Factors computed : 0
% 103.98/104.22 # Resolvents computed: 25846
% 103.98/104.22 # Tautologies deleted: 5
% 103.98/104.22 # Forward subsumed : 7714
% 103.98/104.22 # Backward subsumed : 2595
% 103.98/104.22 # -------- CPU Time ---------
% 103.98/104.22 # User time : 103.789 s
% 103.98/104.22 # System time : 0.062 s
% 103.98/104.22 # Total time : 103.851 s
%------------------------------------------------------------------------------