TSTP Solution File: GEO591+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 06:01:04 EDT 2022
% Result : Theorem 141.99s 142.18s
% Output : Refutation 141.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO591+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Fri Jun 17 23:00:49 EDT 2022
% 0.13/0.36 % CPUTime :
% 141.99/142.18 # Version: 1.3
% 141.99/142.18 # SZS status Theorem
% 141.99/142.18 # SZS output start CNFRefutation
% 141.99/142.18 fof(exemplo6GDDFULL416053,conjecture,(![O]:(![A]:(![B]:(![C]:(![E]:(![D]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:(((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))=>cong(O,E,O,D))))))))))),input).
% 141.99/142.18 fof(c11,negated_conjecture,(~(![O]:(![A]:(![B]:(![C]:(![E]:(![D]:(![NWPNT1]:(![NWPNT2]:(![NWPNT3]:(((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))=>cong(O,E,O,D)))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL416053])).
% 141.99/142.18 fof(c12,negated_conjecture,(?[O]:(?[A]:(?[B]:(?[C]:(?[E]:(?[D]:(?[NWPNT1]:(?[NWPNT2]:(?[NWPNT3]:(((((((circle(O,A,NWPNT1,NWPNT2)&circle(O,A,B,NWPNT3))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))&~cong(O,E,O,D))))))))))),inference(fof_nnf,status(thm),[c11])).
% 141.99/142.18 fof(c13,negated_conjecture,(?[O]:(?[A]:(?[B]:(?[C]:(?[E]:(?[D]:((((((((?[NWPNT1]:(?[NWPNT2]:circle(O,A,NWPNT1,NWPNT2)))&(?[NWPNT3]:circle(O,A,B,NWPNT3)))&perp(O,B,B,E))&perp(O,A,A,D))&coll(C,A,B))&perp(O,C,C,E))&coll(D,C,E))&~cong(O,E,O,D)))))))),inference(shift_quantors,status(thm),[c12])).
% 141.99/142.18 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((((((((?[X8]:(?[X9]:circle(X2,X3,X8,X9)))&(?[X10]:circle(X2,X3,X4,X10)))&perp(X2,X4,X4,X6))&perp(X2,X3,X3,X7))&coll(X5,X3,X4))&perp(X2,X5,X5,X6))&coll(X7,X5,X6))&~cong(X2,X6,X2,X7)))))))),inference(variable_rename,status(thm),[c13])).
% 141.99/142.18 fof(c15,negated_conjecture,(((((((circle(skolem0001,skolem0002,skolem0007,skolem0008)&circle(skolem0001,skolem0002,skolem0003,skolem0009))&perp(skolem0001,skolem0003,skolem0003,skolem0005))&perp(skolem0001,skolem0002,skolem0002,skolem0006))&coll(skolem0004,skolem0002,skolem0003))&perp(skolem0001,skolem0004,skolem0004,skolem0005))&coll(skolem0006,skolem0004,skolem0005))&~cong(skolem0001,skolem0005,skolem0001,skolem0006)),inference(skolemize,status(esa),[c14])).
% 141.99/142.18 cnf(c23,negated_conjecture,~cong(skolem0001,skolem0005,skolem0001,skolem0006),inference(split_conjunct,status(thm),[c15])).
% 141.99/142.18 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 141.99/142.18 fof(c338,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 141.99/142.18 fof(c339,axiom,(![X411]:(![X412]:(![X413]:(![X414]:(~cong(X411,X412,X413,X414)|cong(X411,X412,X414,X413)))))),inference(variable_rename,status(thm),[c338])).
% 141.99/142.18 cnf(c340,axiom,~cong(X618,X615,X617,X616)|cong(X618,X615,X616,X617),inference(split_conjunct,status(thm),[c339])).
% 141.99/142.18 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 141.99/142.18 fof(c335,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 141.99/142.18 fof(c336,axiom,(![X407]:(![X408]:(![X409]:(![X410]:(~cong(X407,X408,X409,X410)|cong(X409,X410,X407,X408)))))),inference(variable_rename,status(thm),[c335])).
% 141.99/142.18 cnf(c337,axiom,~cong(X611,X612,X613,X614)|cong(X613,X614,X611,X612),inference(split_conjunct,status(thm),[c336])).
% 141.99/142.18 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 141.99/142.18 fof(c238,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])).
% 141.99/142.18 fof(c239,axiom,(![X233]:(![X234]:(![X235]:(![X236]:((~perp(X233,X234,X234,X235)|~midp(X236,X233,X235))|cong(X233,X236,X234,X236)))))),inference(variable_rename,status(thm),[c238])).
% 141.99/142.18 cnf(c240,axiom,~perp(X1009,X1008,X1008,X1006)|~midp(X1007,X1009,X1006)|cong(X1009,X1007,X1008,X1007),inference(split_conjunct,status(thm),[c239])).
% 141.99/142.18 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).
% 141.99/142.18 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(fof_nnf,status(thm),[ruleD74])).
% 141.99/142.18 fof(c160,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),[c159])).
% 141.99/142.18 fof(c162,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(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(variable_rename,status(thm),[c160])).])).
% 141.99/142.18 cnf(c163,axiom,~eqangle(X915,X921,X918,X919,X916,X917,X920,X914)|~perp(X916,X917,X920,X914)|perp(X915,X921,X918,X919),inference(split_conjunct,status(thm),[c162])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c353,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])).
% 141.99/142.18 fof(c354,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),[c353])).
% 141.99/142.18 cnf(c355,axiom,~eqangle(X1238,X1241,X1239,X1243,X1236,X1242,X1240,X1237)|eqangle(X1241,X1238,X1239,X1243,X1236,X1242,X1240,X1237),inference(split_conjunct,status(thm),[c354])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c344,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])).
% 141.99/142.18 fof(c345,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),[c344])).
% 141.99/142.18 cnf(c346,axiom,~eqangle(X1217,X1218,X1211,X1216,X1212,X1213,X1215,X1214)|eqangle(X1217,X1218,X1212,X1213,X1211,X1216,X1215,X1214),inference(split_conjunct,status(thm),[c345])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c350,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])).
% 141.99/142.18 fof(c351,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),[c350])).
% 141.99/142.18 cnf(c352,axiom,~eqangle(X1232,X1229,X1228,X1231,X1230,X1234,X1227,X1233)|eqangle(X1228,X1231,X1232,X1229,X1227,X1233,X1230,X1234),inference(split_conjunct,status(thm),[c351])).
% 141.99/142.18 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 141.99/142.18 fof(c281,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])).
% 141.99/142.18 fof(c282,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),[c281])).
% 141.99/142.18 fof(c284,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(c283,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),[c282])).])).
% 141.99/142.18 cnf(c285,axiom,~para(X1076,X1072,X1074,X1075)|eqangle(X1076,X1072,X1077,X1073,X1074,X1075,X1077,X1073),inference(split_conjunct,status(thm),[c284])).
% 141.99/142.18 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 141.99/142.18 fof(c397,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 141.99/142.18 fof(c398,axiom,(![X518]:(![X519]:(![X520]:(![X521]:(~para(X518,X519,X520,X521)|para(X518,X519,X521,X520)))))),inference(variable_rename,status(thm),[c397])).
% 141.99/142.18 cnf(c399,axiom,~para(X734,X735,X732,X733)|para(X734,X735,X733,X732),inference(split_conjunct,status(thm),[c398])).
% 141.99/142.18 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 141.99/142.18 fof(c286,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])).
% 141.99/142.18 fof(c287,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),[c286])).
% 141.99/142.18 fof(c289,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(c288,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),[c287])).])).
% 141.99/142.18 cnf(c290,axiom,~eqangle(X1084,X1080,X1081,X1079,X1082,X1083,X1081,X1079)|para(X1084,X1080,X1082,X1083),inference(split_conjunct,status(thm),[c289])).
% 141.99/142.18 cnf(c19,negated_conjecture,perp(skolem0001,skolem0002,skolem0002,skolem0006),inference(split_conjunct,status(thm),[c15])).
% 141.99/142.18 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 141.99/142.18 fof(c385,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 141.99/142.18 fof(c386,axiom,(![X500]:(![X501]:(![X502]:(![X503]:(~perp(X500,X501,X502,X503)|perp(X502,X503,X500,X501)))))),inference(variable_rename,status(thm),[c385])).
% 141.99/142.18 cnf(c387,axiom,~perp(X647,X650,X649,X648)|perp(X649,X648,X647,X650),inference(split_conjunct,status(thm),[c386])).
% 141.99/142.18 cnf(c453,plain,perp(skolem0002,skolem0006,skolem0001,skolem0002),inference(resolution,status(thm),[c387, c19])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c382,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])).
% 141.99/142.18 fof(c383,axiom,(![X494]:(![X495]:(![X496]:(![X497]:(![X498]:(![X499]:((~perp(X494,X495,X496,X497)|~perp(X496,X497,X498,X499))|para(X494,X495,X498,X499)))))))),inference(variable_rename,status(thm),[c382])).
% 141.99/142.18 cnf(c384,axiom,~perp(X1272,X1269,X1273,X1271)|~perp(X1273,X1271,X1270,X1268)|para(X1272,X1269,X1270,X1268),inference(split_conjunct,status(thm),[c383])).
% 141.99/142.18 cnf(c1470,plain,~perp(X2438,X2439,skolem0001,skolem0002)|para(X2438,X2439,skolem0002,skolem0006),inference(resolution,status(thm),[c384, c19])).
% 141.99/142.18 cnf(c8546,plain,para(skolem0002,skolem0006,skolem0002,skolem0006),inference(resolution,status(thm),[c1470, c453])).
% 141.99/142.18 cnf(c8573,plain,eqangle(skolem0002,skolem0006,X2652,X2651,skolem0002,skolem0006,X2652,X2651),inference(resolution,status(thm),[c8546, c285])).
% 141.99/142.18 cnf(c11526,plain,eqangle(X3038,X3039,skolem0002,skolem0006,X3038,X3039,skolem0002,skolem0006),inference(resolution,status(thm),[c8573, c352])).
% 141.99/142.18 cnf(c15165,plain,para(X3044,X3043,X3044,X3043),inference(resolution,status(thm),[c11526, c290])).
% 141.99/142.18 cnf(c15196,plain,para(X3060,X3061,X3061,X3060),inference(resolution,status(thm),[c15165, c399])).
% 141.99/142.18 cnf(c16014,plain,eqangle(X3854,X3855,X3857,X3856,X3855,X3854,X3857,X3856),inference(resolution,status(thm),[c15196, c285])).
% 141.99/142.18 cnf(c20798,plain,eqangle(X3889,X3890,X3888,X3887,X3889,X3890,X3887,X3888),inference(resolution,status(thm),[c16014, c352])).
% 141.99/142.18 cnf(c20861,plain,eqangle(X3931,X3930,X3931,X3930,X3932,X3933,X3933,X3932),inference(resolution,status(thm),[c20798, c346])).
% 141.99/142.18 cnf(c20940,plain,eqangle(X3979,X3978,X3978,X3979,X3980,X3981,X3981,X3980),inference(resolution,status(thm),[c20861, c355])).
% 141.99/142.18 cnf(c20997,plain,~perp(X4970,X4968,X4968,X4970)|perp(X4969,X4967,X4967,X4969),inference(resolution,status(thm),[c20940, c163])).
% 141.99/142.18 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 141.99/142.18 fof(c406,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 141.99/142.18 fof(c407,axiom,(![X529]:(![X530]:(![X531]:(~coll(X529,X530,X531)|coll(X529,X531,X530))))),inference(variable_rename,status(thm),[c406])).
% 141.99/142.18 cnf(c408,axiom,~coll(X565,X566,X564)|coll(X565,X564,X566),inference(split_conjunct,status(thm),[c407])).
% 141.99/142.18 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 141.99/142.18 fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 141.99/142.18 fof(c404,axiom,(![X526]:(![X527]:(![X528]:(~coll(X526,X527,X528)|coll(X527,X526,X528))))),inference(variable_rename,status(thm),[c403])).
% 141.99/142.18 cnf(c405,axiom,~coll(X555,X553,X554)|coll(X553,X555,X554),inference(split_conjunct,status(thm),[c404])).
% 141.99/142.18 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 141.99/142.18 fof(c189,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 141.99/142.18 fof(c190,axiom,(![X165]:(![X166]:(![X167]:(~para(X165,X166,X165,X167)|coll(X165,X166,X167))))),inference(variable_rename,status(thm),[c189])).
% 141.99/142.18 cnf(c191,axiom,~para(X609,X610,X609,X608)|coll(X609,X610,X608),inference(split_conjunct,status(thm),[c190])).
% 141.99/142.18 cnf(c15193,plain,coll(X3045,X3046,X3046),inference(resolution,status(thm),[c15165, c191])).
% 141.99/142.18 cnf(c15389,plain,coll(X3047,X3048,X3047),inference(resolution,status(thm),[c15193, c405])).
% 141.99/142.18 cnf(c15759,plain,coll(X3055,X3055,X3054),inference(resolution,status(thm),[c15389, c408])).
% 141.99/142.18 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 141.99/142.18 fof(c400,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 141.99/142.18 fof(c401,axiom,(![X522]:(![X523]:(![X524]:(![X525]:((~coll(X522,X523,X524)|~coll(X522,X523,X525))|coll(X524,X525,X522)))))),inference(variable_rename,status(thm),[c400])).
% 141.99/142.18 cnf(c402,axiom,~coll(X748,X749,X746)|~coll(X748,X749,X747)|coll(X746,X747,X748),inference(split_conjunct,status(thm),[c401])).
% 141.99/142.18 cnf(c15927,plain,~coll(X3755,X3755,X3753)|coll(X3753,X3754,X3755),inference(resolution,status(thm),[c15759, c402])).
% 141.99/142.18 cnf(c20569,plain,coll(X3764,X3762,X3763),inference(resolution,status(thm),[c15927, c15759])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c271,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])).
% 141.99/142.18 fof(c272,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),[c271])).
% 141.99/142.18 cnf(c273,axiom,~eqangle(X1061,X1058,X1061,X1060,X1059,X1058,X1059,X1060)|~coll(X1061,X1059,X1060)|cyclic(X1058,X1060,X1061,X1059),inference(split_conjunct,status(thm),[c272])).
% 141.99/142.18 cnf(c15204,plain,eqangle(X3593,X3596,X3595,X3594,X3593,X3596,X3595,X3594),inference(resolution,status(thm),[c15165, c285])).
% 141.99/142.18 cnf(c20263,plain,~coll(X4033,X4033,X4034)|cyclic(X4035,X4034,X4033,X4033),inference(resolution,status(thm),[c15204, c273])).
% 141.99/142.18 cnf(c21068,plain,cyclic(X4038,X4039,X4037,X4037),inference(resolution,status(thm),[c20263, c20569])).
% 141.99/142.18 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).
% 141.99/142.18 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(fof_nnf,status(thm),[ruleD43])).
% 141.99/142.18 fof(c267,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),[c266])).
% 141.99/142.18 fof(c269,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(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(variable_rename,status(thm),[c267])).])).
% 141.99/142.18 cnf(c270,axiom,~cyclic(X1055,X1054,X1056,X1051)|~cyclic(X1055,X1054,X1056,X1053)|~cyclic(X1055,X1054,X1056,X1052)|~eqangle(X1056,X1055,X1056,X1054,X1052,X1051,X1052,X1053)|cong(X1055,X1054,X1051,X1053),inference(split_conjunct,status(thm),[c269])).
% 141.99/142.18 cnf(c20930,plain,~cyclic(X4869,X4869,X4868,X4867)|cong(X4869,X4869,X4867,X4867),inference(resolution,status(thm),[c20861, c270])).
% 141.99/142.18 cnf(c21835,plain,cong(X4874,X4874,X4875,X4875),inference(resolution,status(thm),[c20930, c21068])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c221,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])).
% 141.99/142.18 fof(c222,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),[c221])).
% 141.99/142.18 cnf(c223,axiom,~cong(X988,X987,X989,X987)|~cong(X988,X986,X989,X986)|~cyclic(X988,X989,X987,X986)|perp(X987,X988,X988,X986),inference(split_conjunct,status(thm),[c222])).
% 141.99/142.18 cnf(c21069,plain,~cong(X4979,X4980,X4978,X4980)|perp(X4980,X4979,X4979,X4980),inference(resolution,status(thm),[c21068, c223])).
% 141.99/142.18 cnf(c22128,plain,perp(X4981,X4981,X4981,X4981),inference(resolution,status(thm),[c21069, c21835])).
% 141.99/142.18 cnf(c22139,plain,perp(X4988,X4989,X4989,X4988),inference(resolution,status(thm),[c22128, c20997])).
% 141.99/142.18 cnf(c22180,plain,~midp(X5132,X5133,X5133)|cong(X5133,X5132,X5134,X5132),inference(resolution,status(thm),[c22139, c240])).
% 141.99/142.18 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 141.99/142.18 fof(c186,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 141.99/142.18 fof(c187,axiom,(![X162]:(![X163]:(![X164]:((~cong(X162,X163,X162,X164)|~coll(X162,X163,X164))|midp(X162,X163,X164))))),inference(variable_rename,status(thm),[c186])).
% 141.99/142.18 cnf(c188,axiom,~cong(X945,X946,X945,X944)|~coll(X945,X946,X944)|midp(X945,X946,X944),inference(split_conjunct,status(thm),[c187])).
% 141.99/142.18 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 141.99/142.18 fof(c376,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 141.99/142.18 fof(c377,axiom,(![X485]:(![X486]:(![X487]:(~midp(X487,X486,X485)|midp(X487,X485,X486))))),inference(variable_rename,status(thm),[c376])).
% 141.99/142.18 cnf(c378,axiom,~midp(X551,X550,X552)|midp(X551,X552,X550),inference(split_conjunct,status(thm),[c377])).
% 141.99/142.18 cnf(c21859,plain,~coll(X4891,X4891,X4891)|midp(X4891,X4891,X4891),inference(resolution,status(thm),[c21835, c188])).
% 141.99/142.18 cnf(c21877,plain,midp(X4892,X4892,X4892),inference(resolution,status(thm),[c21859, c20569])).
% 141.99/142.18 cnf(c22609,plain,cong(X5136,X5136,X5137,X5136),inference(resolution,status(thm),[c22180, c21877])).
% 141.99/142.18 cnf(c22616,plain,cong(X5141,X5141,X5141,X5140),inference(resolution,status(thm),[c22609, c340])).
% 141.99/142.18 cnf(c22697,plain,~coll(X5165,X5165,X5166)|midp(X5165,X5165,X5166),inference(resolution,status(thm),[c22616, c188])).
% 141.99/142.18 cnf(c22751,plain,midp(X5167,X5167,X5168),inference(resolution,status(thm),[c22697, c20569])).
% 141.99/142.18 cnf(c22805,plain,midp(X5171,X5170,X5171),inference(resolution,status(thm),[c22751, c378])).
% 141.99/142.18 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 141.99/142.18 fof(c227,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])).
% 141.99/142.18 fof(c228,axiom,(![X221]:(![X222]:(![X223]:(![X224]:((~midp(X223,X221,X222)|~perp(X224,X223,X221,X222))|cong(X224,X221,X224,X222)))))),inference(variable_rename,status(thm),[c227])).
% 141.99/142.18 cnf(c229,axiom,~midp(X995,X997,X996)|~perp(X994,X995,X997,X996)|cong(X994,X997,X994,X996),inference(split_conjunct,status(thm),[c228])).
% 141.99/142.18 fof(ruleD73,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V))=>para(A,B,C,D)))))))))),input).
% 141.99/142.18 fof(c164,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD73])).
% 141.99/142.18 fof(c165,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))))))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c164])).
% 141.99/142.18 fof(c167,axiom,(![X134]:(![X135]:(![X136]:(![X137]:(![X138]:(![X139]:(![X140]:(![X141]:((~eqangle(X134,X135,X136,X137,X138,X139,X140,X141)|~para(X138,X139,X140,X141))|para(X134,X135,X136,X137)))))))))),inference(shift_quantors,status(thm),[fof(c166,axiom,(![X134]:(![X135]:(![X136]:(![X137]:((![X138]:(![X139]:(![X140]:(![X141]:(~eqangle(X134,X135,X136,X137,X138,X139,X140,X141)|~para(X138,X139,X140,X141))))))|para(X134,X135,X136,X137)))))),inference(variable_rename,status(thm),[c165])).])).
% 141.99/142.18 cnf(c168,axiom,~eqangle(X923,X926,X928,X924,X925,X929,X927,X922)|~para(X925,X929,X927,X922)|para(X923,X926,X928,X924),inference(split_conjunct,status(thm),[c167])).
% 141.99/142.18 cnf(c20862,plain,eqangle(X3938,X3939,X3937,X3940,X3939,X3938,X3940,X3937),inference(resolution,status(thm),[c20798, c355])).
% 141.99/142.18 cnf(c20952,plain,~para(X4954,X4953,X4952,X4955)|para(X4953,X4954,X4955,X4952),inference(resolution,status(thm),[c20862, c168])).
% 141.99/142.18 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 141.99/142.18 fof(c263,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])).
% 141.99/142.18 fof(c264,axiom,(![X268]:(![X269]:(![X270]:(![X271]:(![X272]:((~midp(X271,X268,X269)|~midp(X272,X268,X270))|para(X271,X272,X269,X270))))))),inference(variable_rename,status(thm),[c263])).
% 141.99/142.18 cnf(c265,axiom,~midp(X1047,X1045,X1048)|~midp(X1046,X1045,X1049)|para(X1047,X1046,X1048,X1049),inference(split_conjunct,status(thm),[c264])).
% 141.99/142.18 cnf(c22771,plain,~midp(X6206,X6207,X6205)|para(X6206,X6207,X6205,X6208),inference(resolution,status(thm),[c22751, c265])).
% 141.99/142.18 cnf(c24738,plain,para(X6210,X6209,X6210,X6211),inference(resolution,status(thm),[c22771, c22805])).
% 141.99/142.18 cnf(c24754,plain,para(X6222,X6223,X6221,X6223),inference(resolution,status(thm),[c24738, c20952])).
% 141.99/142.18 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).
% 141.99/142.18 fof(c379,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])).
% 141.99/142.18 fof(c380,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),[c379])).
% 141.99/142.18 cnf(c381,axiom,~para(X1266,X1263,X1264,X1265)|~perp(X1264,X1265,X1262,X1267)|perp(X1266,X1263,X1262,X1267),inference(split_conjunct,status(thm),[c380])).
% 141.99/142.18 cnf(c22134,plain,~para(X14452,X14451,X14450,X14450)|perp(X14452,X14451,X14450,X14450),inference(resolution,status(thm),[c22128, c381])).
% 141.99/142.18 cnf(c36863,plain,perp(X14456,X14455,X14455,X14455),inference(resolution,status(thm),[c22134, c24754])).
% 141.99/142.18 cnf(c36937,plain,~midp(X15566,X15566,X15566)|cong(X15565,X15566,X15565,X15566),inference(resolution,status(thm),[c36863, c229])).
% 141.99/142.18 cnf(c38553,plain,cong(X15567,X15568,X15567,X15568),inference(resolution,status(thm),[c36937, c22805])).
% 141.99/142.18 cnf(c38572,plain,~coll(X15583,X15584,X15584)|midp(X15583,X15584,X15584),inference(resolution,status(thm),[c38553, c188])).
% 141.99/142.18 cnf(c38624,plain,midp(X15585,X15586,X15586),inference(resolution,status(thm),[c38572, c20569])).
% 141.99/142.18 cnf(c38836,plain,cong(X15605,X15603,X15604,X15603),inference(resolution,status(thm),[c38624, c22180])).
% 141.99/142.18 cnf(c38851,plain,cong(X15611,X15610,X15610,X15609),inference(resolution,status(thm),[c38836, c340])).
% 141.99/142.18 cnf(c38880,plain,cong(X15615,X15613,X15614,X15615),inference(resolution,status(thm),[c38851, c337])).
% 141.99/142.18 cnf(c38916,plain,cong(X15623,X15624,X15623,X15622),inference(resolution,status(thm),[c38880, c340])).
% 141.99/142.18 cnf(c38943,plain,$false,inference(resolution,status(thm),[c38916, c23])).
% 141.99/142.18 # SZS output end CNFRefutation
% 141.99/142.18
% 141.99/142.18 # Initial clauses : 135
% 141.99/142.18 # Processed clauses : 4206
% 141.99/142.18 # Factors computed : 0
% 141.99/142.18 # Resolvents computed: 38551
% 141.99/142.18 # Tautologies deleted: 4
% 141.99/142.18 # Forward subsumed : 12276
% 141.99/142.18 # Backward subsumed : 2683
% 141.99/142.18 # -------- CPU Time ---------
% 141.99/142.18 # User time : 141.720 s
% 141.99/142.18 # System time : 0.071 s
% 141.99/142.18 # Total time : 141.791 s
%------------------------------------------------------------------------------