TSTP Solution File: GEO623+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 06:01:13 EDT 2022
% Result : Theorem 284.54s 284.74s
% Output : Refutation 284.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 01:23:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 284.54/284.74 # Version: 1.3
% 284.54/284.74 # SZS status Theorem
% 284.54/284.74 # SZS output start CNFRefutation
% 284.54/284.74 fof(exemplo6GDDFULL8110986,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![H]:(((((((midp(D,C,A)&midp(E,B,C))&midp(F,A,B))&eqangle(G,B,B,C,G,B,B,A))&coll(G,D,F))&coll(H,B,G))&coll(H,D,E))=>cong(D,G,D,H)))))))))),input).
% 284.54/284.74 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![H]:(((((((midp(D,C,A)&midp(E,B,C))&midp(F,A,B))&eqangle(G,B,B,C,G,B,B,A))&coll(G,D,F))&coll(H,B,G))&coll(H,D,E))=>cong(D,G,D,H))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL8110986])).
% 284.54/284.74 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(?[H]:(((((((midp(D,C,A)&midp(E,B,C))&midp(F,A,B))&eqangle(G,B,B,C,G,B,B,A))&coll(G,D,F))&coll(H,B,G))&coll(H,D,E))&~cong(D,G,D,H)))))))))),inference(fof_nnf,status(thm),[c11])).
% 284.54/284.74 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:(((((((midp(X5,X4,X2)&midp(X6,X3,X4))&midp(X7,X2,X3))&eqangle(X8,X3,X3,X4,X8,X3,X3,X2))&coll(X8,X5,X7))&coll(X9,X3,X8))&coll(X9,X5,X6))&~cong(X5,X8,X5,X9)))))))))),inference(variable_rename,status(thm),[c12])).
% 284.54/284.74 fof(c14,negated_conjecture,(((((((midp(skolem0004,skolem0003,skolem0001)&midp(skolem0005,skolem0002,skolem0003))&midp(skolem0006,skolem0001,skolem0002))&eqangle(skolem0007,skolem0002,skolem0002,skolem0003,skolem0007,skolem0002,skolem0002,skolem0001))&coll(skolem0007,skolem0004,skolem0006))&coll(skolem0008,skolem0002,skolem0007))&coll(skolem0008,skolem0004,skolem0005))&~cong(skolem0004,skolem0007,skolem0004,skolem0008)),inference(skolemize,status(esa),[c13])).
% 284.54/284.74 cnf(c22,negated_conjecture,~cong(skolem0004,skolem0007,skolem0004,skolem0008),inference(split_conjunct,status(thm),[c14])).
% 284.54/284.74 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 284.54/284.74 fof(c337,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 284.54/284.74 fof(c338,axiom,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,status(thm),[c337])).
% 284.54/284.74 cnf(c339,axiom,~cong(X712,X714,X713,X715)|cong(X712,X714,X715,X713),inference(split_conjunct,status(thm),[c338])).
% 284.54/284.74 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 284.54/284.74 fof(c334,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 284.54/284.74 fof(c335,axiom,(![X406]:(![X407]:(![X408]:(![X409]:(~cong(X406,X407,X408,X409)|cong(X408,X409,X406,X407)))))),inference(variable_rename,status(thm),[c334])).
% 284.54/284.74 cnf(c336,axiom,~cong(X703,X704,X705,X706)|cong(X705,X706,X703,X704),inference(split_conjunct,status(thm),[c335])).
% 284.54/284.74 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c238,axiom,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,status(thm),[c237])).
% 284.54/284.74 cnf(c239,axiom,~perp(X1012,X1011,X1011,X1009)|~midp(X1010,X1012,X1009)|cong(X1012,X1010,X1011,X1010),inference(split_conjunct,status(thm),[c238])).
% 284.54/284.74 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).
% 284.54/284.74 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])).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c161,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(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(variable_rename,status(thm),[c159])).])).
% 284.54/284.74 cnf(c162,axiom,~eqangle(X915,X917,X916,X914,X911,X913,X912,X910)|~perp(X911,X913,X912,X910)|perp(X915,X917,X916,X914),inference(split_conjunct,status(thm),[c161])).
% 284.54/284.74 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).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c353,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),[c352])).
% 284.54/284.74 cnf(c354,axiom,~eqangle(X1237,X1240,X1239,X1236,X1242,X1243,X1241,X1238)|eqangle(X1240,X1237,X1239,X1236,X1242,X1243,X1241,X1238),inference(split_conjunct,status(thm),[c353])).
% 284.54/284.74 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).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c347,axiom,(![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),[c346])).
% 284.54/284.74 cnf(c348,axiom,~eqangle(X1224,X1221,X1225,X1218,X1223,X1220,X1219,X1222)|eqangle(X1223,X1220,X1219,X1222,X1224,X1221,X1225,X1218),inference(split_conjunct,status(thm),[c347])).
% 284.54/284.74 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).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c344,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),[c343])).
% 284.54/284.74 cnf(c345,axiom,~eqangle(X1211,X1215,X1210,X1217,X1216,X1213,X1214,X1212)|eqangle(X1211,X1215,X1216,X1213,X1210,X1217,X1214,X1212),inference(split_conjunct,status(thm),[c344])).
% 284.54/284.74 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 284.54/284.74 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])).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c283,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(c282,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),[c281])).])).
% 284.54/284.74 cnf(c284,axiom,~para(X1074,X1071,X1075,X1072)|eqangle(X1074,X1071,X1076,X1073,X1075,X1072,X1076,X1073),inference(split_conjunct,status(thm),[c283])).
% 284.54/284.74 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 284.54/284.74 fof(c396,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 284.54/284.74 fof(c397,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c396])).
% 284.54/284.74 cnf(c398,axiom,~para(X790,X791,X789,X792)|para(X790,X791,X792,X789),inference(split_conjunct,status(thm),[c397])).
% 284.54/284.74 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 284.54/284.74 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])).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c288,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(c287,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),[c286])).])).
% 284.54/284.74 cnf(c289,axiom,~eqangle(X1077,X1082,X1081,X1080,X1078,X1079,X1081,X1080)|para(X1077,X1082,X1078,X1079),inference(split_conjunct,status(thm),[c288])).
% 284.54/284.74 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).
% 284.54/284.74 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])).
% 284.54/284.74 fof(c350,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),[c349])).
% 284.54/284.75 cnf(c351,axiom,~eqangle(X1233,X1227,X1231,X1228,X1229,X1232,X1230,X1226)|eqangle(X1231,X1228,X1233,X1227,X1230,X1226,X1229,X1232),inference(split_conjunct,status(thm),[c350])).
% 284.54/284.75 cnf(c16,negated_conjecture,midp(skolem0005,skolem0002,skolem0003),inference(split_conjunct,status(thm),[c14])).
% 284.54/284.75 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 284.54/284.75 fof(c375,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 284.54/284.75 fof(c376,axiom,(![X484]:(![X485]:(![X486]:(~midp(X486,X485,X484)|midp(X486,X484,X485))))),inference(variable_rename,status(thm),[c375])).
% 284.54/284.75 cnf(c377,axiom,~midp(X559,X557,X558)|midp(X559,X558,X557),inference(split_conjunct,status(thm),[c376])).
% 284.54/284.75 cnf(c421,plain,midp(skolem0005,skolem0003,skolem0002),inference(resolution,status(thm),[c377, c16])).
% 284.54/284.75 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 284.54/284.75 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])).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c200,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(c199,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c198])).])).
% 284.54/284.75 cnf(c201,axiom,~midp(X958,X956,X959)|~midp(X958,X960,X957)|para(X956,X960,X959,X957),inference(split_conjunct,status(thm),[c200])).
% 284.54/284.75 cnf(c1027,plain,~midp(skolem0005,X2144,X2143)|para(X2144,skolem0002,X2143,skolem0003),inference(resolution,status(thm),[c201, c16])).
% 284.54/284.75 cnf(c4686,plain,para(skolem0003,skolem0002,skolem0002,skolem0003),inference(resolution,status(thm),[c1027, c421])).
% 284.54/284.75 cnf(c4713,plain,para(skolem0003,skolem0002,skolem0003,skolem0002),inference(resolution,status(thm),[c4686, c398])).
% 284.54/284.75 cnf(c4754,plain,eqangle(skolem0003,skolem0002,X5183,X5182,skolem0003,skolem0002,X5183,X5182),inference(resolution,status(thm),[c4713, c284])).
% 284.54/284.75 cnf(c12606,plain,eqangle(X5568,X5569,skolem0003,skolem0002,X5568,X5569,skolem0003,skolem0002),inference(resolution,status(thm),[c4754, c351])).
% 284.54/284.75 cnf(c13564,plain,para(X5571,X5570,X5571,X5570),inference(resolution,status(thm),[c12606, c289])).
% 284.54/284.75 cnf(c13596,plain,para(X5595,X5594,X5594,X5595),inference(resolution,status(thm),[c13564, c398])).
% 284.54/284.75 cnf(c15405,plain,eqangle(X7902,X7903,X7904,X7901,X7903,X7902,X7904,X7901),inference(resolution,status(thm),[c13596, c284])).
% 284.54/284.75 cnf(c28230,plain,eqangle(X7937,X7936,X7936,X7937,X7938,X7939,X7938,X7939),inference(resolution,status(thm),[c15405, c345])).
% 284.54/284.75 cnf(c28261,plain,eqangle(X7988,X7989,X7988,X7989,X7987,X7990,X7990,X7987),inference(resolution,status(thm),[c28230, c348])).
% 284.54/284.75 cnf(c28284,plain,eqangle(X8020,X8017,X8017,X8020,X8019,X8018,X8018,X8019),inference(resolution,status(thm),[c28261, c354])).
% 284.54/284.75 cnf(c28323,plain,~perp(X9467,X9464,X9464,X9467)|perp(X9465,X9466,X9466,X9465),inference(resolution,status(thm),[c28284, c162])).
% 284.54/284.75 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 284.54/284.75 fof(c364,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 284.54/284.75 fof(c365,axiom,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X472,X474,X473)))))),inference(variable_rename,status(thm),[c364])).
% 284.54/284.75 cnf(c366,axiom,~cyclic(X769,X771,X770,X768)|cyclic(X769,X771,X768,X770),inference(split_conjunct,status(thm),[c365])).
% 284.54/284.75 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 284.54/284.75 fof(c358,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 284.54/284.75 fof(c359,axiom,(![X463]:(![X464]:(![X465]:(![X466]:(~cyclic(X463,X464,X465,X466)|cyclic(X464,X463,X465,X466)))))),inference(variable_rename,status(thm),[c358])).
% 284.54/284.75 cnf(c360,axiom,~cyclic(X760,X761,X763,X762)|cyclic(X761,X760,X763,X762),inference(split_conjunct,status(thm),[c359])).
% 284.54/284.75 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 284.54/284.75 fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 284.54/284.75 fof(c362,axiom,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,status(thm),[c361])).
% 284.54/284.75 cnf(c363,axiom,~cyclic(X766,X767,X764,X765)|cyclic(X766,X764,X767,X765),inference(split_conjunct,status(thm),[c362])).
% 284.54/284.75 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 284.54/284.75 fof(c405,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 284.54/284.75 fof(c406,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c405])).
% 284.54/284.75 cnf(c407,axiom,~coll(X602,X601,X603)|coll(X602,X603,X601),inference(split_conjunct,status(thm),[c406])).
% 284.54/284.75 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 284.54/284.75 fof(c402,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 284.54/284.75 fof(c403,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c402])).
% 284.54/284.75 cnf(c404,axiom,~coll(X574,X576,X575)|coll(X576,X574,X575),inference(split_conjunct,status(thm),[c403])).
% 284.54/284.75 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 284.54/284.75 fof(c188,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 284.54/284.75 fof(c189,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c188])).
% 284.54/284.75 cnf(c190,axiom,~para(X700,X702,X700,X701)|coll(X700,X702,X701),inference(split_conjunct,status(thm),[c189])).
% 284.54/284.75 cnf(c13585,plain,coll(X5572,X5573,X5573),inference(resolution,status(thm),[c13564, c190])).
% 284.54/284.75 cnf(c13986,plain,coll(X5579,X5580,X5579),inference(resolution,status(thm),[c13585, c404])).
% 284.54/284.75 cnf(c14714,plain,coll(X5581,X5581,X5582),inference(resolution,status(thm),[c13986, c407])).
% 284.54/284.75 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c400,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c399])).
% 284.54/284.75 cnf(c401,axiom,~coll(X805,X804,X807)|~coll(X805,X804,X806)|coll(X807,X806,X805),inference(split_conjunct,status(thm),[c400])).
% 284.54/284.75 cnf(c14983,plain,~coll(X7711,X7711,X7710)|coll(X7710,X7712,X7711),inference(resolution,status(thm),[c14714, c401])).
% 284.54/284.75 cnf(c27646,plain,coll(X7715,X7714,X7713),inference(resolution,status(thm),[c14983, c14714])).
% 284.54/284.75 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).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c271,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),[c270])).
% 284.54/284.75 cnf(c272,axiom,~eqangle(X1060,X1059,X1060,X1062,X1061,X1059,X1061,X1062)|~coll(X1060,X1061,X1062)|cyclic(X1059,X1062,X1060,X1061),inference(split_conjunct,status(thm),[c271])).
% 284.54/284.75 cnf(c13588,plain,eqangle(X7425,X7424,X7426,X7423,X7425,X7424,X7426,X7423),inference(resolution,status(thm),[c13564, c284])).
% 284.54/284.75 cnf(c27387,plain,~coll(X8075,X8075,X8074)|cyclic(X8073,X8074,X8075,X8075),inference(resolution,status(thm),[c13588, c272])).
% 284.54/284.75 cnf(c28325,plain,cyclic(X8079,X8080,X8081,X8081),inference(resolution,status(thm),[c27387, c27646])).
% 284.54/284.75 cnf(c28328,plain,cyclic(X8084,X8082,X8083,X8082),inference(resolution,status(thm),[c28325, c363])).
% 284.54/284.75 cnf(c28338,plain,cyclic(X8099,X8097,X8098,X8099),inference(resolution,status(thm),[c28328, c360])).
% 284.54/284.75 cnf(c28348,plain,cyclic(X8110,X8111,X8110,X8109),inference(resolution,status(thm),[c28338, c366])).
% 284.54/284.75 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).
% 284.54/284.75 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])).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c268,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(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(variable_rename,status(thm),[c266])).])).
% 284.54/284.75 cnf(c269,axiom,~cyclic(X1054,X1053,X1057,X1055)|~cyclic(X1054,X1053,X1057,X1052)|~cyclic(X1054,X1053,X1057,X1056)|~eqangle(X1057,X1054,X1057,X1053,X1056,X1055,X1056,X1052)|cong(X1054,X1053,X1055,X1052),inference(split_conjunct,status(thm),[c268])).
% 284.54/284.75 cnf(c28293,plain,~cyclic(X9139,X9139,X9141,X9140)|cong(X9139,X9139,X9140,X9140),inference(resolution,status(thm),[c28261, c269])).
% 284.54/284.75 cnf(c29297,plain,cong(X9147,X9147,X9146,X9146),inference(resolution,status(thm),[c28293, c28348])).
% 284.54/284.75 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).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c221,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),[c220])).
% 284.54/284.75 cnf(c222,axiom,~cong(X988,X987,X989,X987)|~cong(X988,X990,X989,X990)|~cyclic(X988,X989,X987,X990)|perp(X987,X988,X988,X990),inference(split_conjunct,status(thm),[c221])).
% 284.54/284.75 cnf(c28333,plain,~cong(X9473,X9474,X9472,X9474)|perp(X9474,X9473,X9473,X9474),inference(resolution,status(thm),[c28325, c222])).
% 284.54/284.75 cnf(c30589,plain,perp(X9475,X9475,X9475,X9475),inference(resolution,status(thm),[c28333, c29297])).
% 284.54/284.75 cnf(c30600,plain,perp(X9477,X9476,X9476,X9477),inference(resolution,status(thm),[c30589, c28323])).
% 284.54/284.75 cnf(c30637,plain,~midp(X9543,X9544,X9544)|cong(X9544,X9543,X9545,X9543),inference(resolution,status(thm),[c30600, c239])).
% 284.54/284.75 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c186,axiom,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,status(thm),[c185])).
% 284.54/284.75 cnf(c187,axiom,~cong(X943,X942,X943,X944)|~coll(X943,X942,X944)|midp(X943,X942,X944),inference(split_conjunct,status(thm),[c186])).
% 284.54/284.75 cnf(c29296,plain,cong(X9145,X9145,X9145,X9145),inference(resolution,status(thm),[c28293, c28328])).
% 284.54/284.75 cnf(c29324,plain,~coll(X9168,X9168,X9168)|midp(X9168,X9168,X9168),inference(resolution,status(thm),[c29296, c187])).
% 284.54/284.75 cnf(c29348,plain,midp(X9169,X9169,X9169),inference(resolution,status(thm),[c29324, c27646])).
% 284.54/284.75 cnf(c30695,plain,cong(X9547,X9547,X9546,X9547),inference(resolution,status(thm),[c30637, c29348])).
% 284.54/284.75 cnf(c30738,plain,cong(X9550,X9550,X9550,X9551),inference(resolution,status(thm),[c30695, c339])).
% 284.54/284.75 cnf(c30828,plain,~coll(X9655,X9655,X9654)|midp(X9655,X9655,X9654),inference(resolution,status(thm),[c30738, c187])).
% 284.54/284.75 cnf(c31190,plain,midp(X9660,X9660,X9659),inference(resolution,status(thm),[c30828, c27646])).
% 284.54/284.75 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c227,axiom,(![X220]:(![X221]:(![X222]:(![X223]:((~midp(X222,X220,X221)|~perp(X223,X222,X220,X221))|cong(X223,X220,X223,X221)))))),inference(variable_rename,status(thm),[c226])).
% 284.54/284.75 cnf(c228,axiom,~midp(X999,X998,X997)|~perp(X996,X999,X998,X997)|cong(X996,X998,X996,X997),inference(split_conjunct,status(thm),[c227])).
% 284.54/284.75 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 284.54/284.75 fof(c393,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 284.54/284.75 fof(c394,axiom,(![X513]:(![X514]:(![X515]:(![X516]:(~para(X513,X514,X515,X516)|para(X515,X516,X513,X514)))))),inference(variable_rename,status(thm),[c393])).
% 284.54/284.75 cnf(c395,axiom,~para(X785,X788,X787,X786)|para(X787,X786,X785,X788),inference(split_conjunct,status(thm),[c394])).
% 284.54/284.75 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c263,axiom,(![X267]:(![X268]:(![X269]:(![X270]:(![X271]:((~midp(X270,X267,X268)|~midp(X271,X267,X269))|para(X270,X271,X268,X269))))))),inference(variable_rename,status(thm),[c262])).
% 284.54/284.75 cnf(c264,axiom,~midp(X1050,X1049,X1048)|~midp(X1051,X1049,X1047)|para(X1050,X1051,X1048,X1047),inference(split_conjunct,status(thm),[c263])).
% 284.54/284.75 cnf(c31261,plain,~midp(X11361,X11362,X11360)|para(X11361,X11362,X11360,X11359),inference(resolution,status(thm),[c31190, c264])).
% 284.54/284.75 cnf(c35813,plain,para(X11364,X11364,X11365,X11363),inference(resolution,status(thm),[c31261, c31190])).
% 284.54/284.75 cnf(c35837,plain,para(X11370,X11369,X11371,X11371),inference(resolution,status(thm),[c35813, c395])).
% 284.54/284.75 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).
% 284.54/284.75 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])).
% 284.54/284.75 fof(c379,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),[c378])).
% 284.54/284.75 cnf(c380,axiom,~para(X1262,X1266,X1263,X1261)|~perp(X1263,X1261,X1264,X1265)|perp(X1262,X1266,X1264,X1265),inference(split_conjunct,status(thm),[c379])).
% 284.54/284.75 cnf(c30619,plain,~para(X24434,X24433,X24432,X24432)|perp(X24434,X24433,X24432,X24432),inference(resolution,status(thm),[c30589, c380])).
% 284.54/284.75 cnf(c56424,plain,perp(X24435,X24437,X24436,X24436),inference(resolution,status(thm),[c30619, c35837])).
% 284.54/284.75 cnf(c56537,plain,~midp(X25171,X25172,X25172)|cong(X25170,X25172,X25170,X25172),inference(resolution,status(thm),[c56424, c228])).
% 284.54/284.75 cnf(c57350,plain,cong(X25173,X25174,X25173,X25174),inference(resolution,status(thm),[c56537, c31190])).
% 284.54/284.75 cnf(c57394,plain,~coll(X25244,X25243,X25243)|midp(X25244,X25243,X25243),inference(resolution,status(thm),[c57350, c187])).
% 284.54/284.75 cnf(c57477,plain,midp(X25246,X25245,X25245),inference(resolution,status(thm),[c57394, c27646])).
% 284.54/284.75 cnf(c57658,plain,cong(X25259,X25258,X25260,X25258),inference(resolution,status(thm),[c57477, c30637])).
% 284.54/284.75 cnf(c57742,plain,cong(X25272,X25273,X25273,X25274),inference(resolution,status(thm),[c57658, c339])).
% 284.54/284.75 cnf(c57771,plain,cong(X25275,X25276,X25277,X25275),inference(resolution,status(thm),[c57742, c336])).
% 284.54/284.75 cnf(c57808,plain,cong(X25287,X25288,X25287,X25289),inference(resolution,status(thm),[c57771, c339])).
% 284.54/284.75 cnf(c57843,plain,$false,inference(resolution,status(thm),[c57808, c22])).
% 284.54/284.75 # SZS output end CNFRefutation
% 284.54/284.75
% 284.54/284.75 # Initial clauses : 135
% 284.54/284.75 # Processed clauses : 6262
% 284.54/284.75 # Factors computed : 0
% 284.54/284.75 # Resolvents computed: 57443
% 284.54/284.75 # Tautologies deleted: 47
% 284.54/284.75 # Forward subsumed : 20033
% 284.54/284.75 # Backward subsumed : 3334
% 284.54/284.75 # -------- CPU Time ---------
% 284.54/284.75 # User time : 284.255 s
% 284.54/284.75 # System time : 0.112 s
% 284.54/284.75 # Total time : 284.367 s
%------------------------------------------------------------------------------