TSTP Solution File: GEO563+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 06:00:56 EDT 2022

% Result   : Theorem 107.71s 107.94s
% Output   : Refutation 107.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GEO563+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 23:28:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 107.71/107.94  # Version:  1.3
% 107.71/107.94  # SZS status Theorem
% 107.71/107.94  # SZS output start CNFRefutation
% 107.71/107.94  fof(exemplo6GDDFULL214024,conjecture,(![Q]:(![R]:(![P]:(![O1]:(![S]:(![Y]:(![O]:(![X]:(![I]:(![NWPNT1]:(![NWPNT2]:(((((((circle(O1,Q,R,P)&circle(O1,Q,S,NWPNT1))&coll(Y,Q,S))&circle(O,Y,P,Q))&circle(O,Q,X,NWPNT2))&coll(I,R,S))&coll(I,Y,X))=>eqangle(R,I,I,X,R,P,P,X))))))))))))),input).
% 107.71/107.94  fof(c11,negated_conjecture,(~(![Q]:(![R]:(![P]:(![O1]:(![S]:(![Y]:(![O]:(![X]:(![I]:(![NWPNT1]:(![NWPNT2]:(((((((circle(O1,Q,R,P)&circle(O1,Q,S,NWPNT1))&coll(Y,Q,S))&circle(O,Y,P,Q))&circle(O,Q,X,NWPNT2))&coll(I,R,S))&coll(I,Y,X))=>eqangle(R,I,I,X,R,P,P,X)))))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL214024])).
% 107.71/107.94  fof(c12,negated_conjecture,(?[Q]:(?[R]:(?[P]:(?[O1]:(?[S]:(?[Y]:(?[O]:(?[X]:(?[I]:(?[NWPNT1]:(?[NWPNT2]:(((((((circle(O1,Q,R,P)&circle(O1,Q,S,NWPNT1))&coll(Y,Q,S))&circle(O,Y,P,Q))&circle(O,Q,X,NWPNT2))&coll(I,R,S))&coll(I,Y,X))&~eqangle(R,I,I,X,R,P,P,X))))))))))))),inference(fof_nnf,status(thm),[c11])).
% 107.71/107.94  fof(c13,negated_conjecture,(?[Q]:(?[R]:(?[P]:(?[O1]:(?[S]:(?[Y]:(?[O]:(?[X]:(?[I]:(((((((circle(O1,Q,R,P)&(?[NWPNT1]:circle(O1,Q,S,NWPNT1)))&coll(Y,Q,S))&circle(O,Y,P,Q))&(?[NWPNT2]:circle(O,Q,X,NWPNT2)))&coll(I,R,S))&coll(I,Y,X))&~eqangle(R,I,I,X,R,P,P,X))))))))))),inference(shift_quantors,status(thm),[c12])).
% 107.71/107.94  fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:(?[X10]:(((((((circle(X5,X2,X3,X4)&(?[X11]:circle(X5,X2,X6,X11)))&coll(X7,X2,X6))&circle(X8,X7,X4,X2))&(?[X12]:circle(X8,X2,X9,X12)))&coll(X10,X3,X6))&coll(X10,X7,X9))&~eqangle(X3,X10,X10,X9,X3,X4,X4,X9))))))))))),inference(variable_rename,status(thm),[c13])).
% 107.71/107.94  fof(c15,negated_conjecture,(((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&circle(skolem0004,skolem0001,skolem0005,skolem0010))&coll(skolem0006,skolem0001,skolem0005))&circle(skolem0007,skolem0006,skolem0003,skolem0001))&circle(skolem0007,skolem0001,skolem0008,skolem0011))&coll(skolem0009,skolem0002,skolem0005))&coll(skolem0009,skolem0006,skolem0008))&~eqangle(skolem0002,skolem0009,skolem0009,skolem0008,skolem0002,skolem0003,skolem0003,skolem0008)),inference(skolemize,status(esa),[c14])).
% 107.71/107.94  cnf(c23,negated_conjecture,~eqangle(skolem0002,skolem0009,skolem0009,skolem0008,skolem0002,skolem0003,skolem0003,skolem0008),inference(split_conjunct,status(thm),[c15])).
% 107.71/107.94  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).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c354,axiom,(![X453]:(![X454]:(![X455]:(![X456]:(![X457]:(![X458]:(![X459]:(![X460]:(~eqangle(X453,X454,X455,X456,X457,X458,X459,X460)|eqangle(X454,X453,X455,X456,X457,X458,X459,X460)))))))))),inference(variable_rename,status(thm),[c353])).
% 107.71/107.94  cnf(c355,axiom,~eqangle(X1233,X1227,X1228,X1232,X1230,X1226,X1229,X1231)|eqangle(X1227,X1233,X1228,X1232,X1230,X1226,X1229,X1231),inference(split_conjunct,status(thm),[c354])).
% 107.71/107.94  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).
% 107.71/107.94  fof(c347,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])).
% 107.71/107.94  fof(c348,axiom,(![X437]:(![X438]:(![X439]:(![X440]:(![X441]:(![X442]:(![X443]:(![X444]:(~eqangle(X437,X438,X439,X440,X441,X442,X443,X444)|eqangle(X441,X442,X443,X444,X437,X438,X439,X440)))))))))),inference(variable_rename,status(thm),[c347])).
% 107.71/107.94  cnf(c349,axiom,~eqangle(X1213,X1215,X1210,X1216,X1214,X1209,X1212,X1211)|eqangle(X1214,X1209,X1212,X1211,X1213,X1215,X1210,X1216),inference(split_conjunct,status(thm),[c348])).
% 107.71/107.94  fof(ruleD41,axiom,(![A]:(![B]:(![P]:(![Q]:(cyclic(A,B,P,Q)=>eqangle(P,A,P,B,Q,A,Q,B)))))),input).
% 107.71/107.94  fof(c278,axiom,(![A]:(![B]:(![P]:(![Q]:(~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B)))))),inference(fof_nnf,status(thm),[ruleD41])).
% 107.71/107.94  fof(c279,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(~cyclic(X289,X290,X291,X292)|eqangle(X291,X289,X291,X290,X292,X289,X292,X290)))))),inference(variable_rename,status(thm),[c278])).
% 107.71/107.94  cnf(c280,axiom,~cyclic(X1071,X1070,X1069,X1068)|eqangle(X1069,X1071,X1069,X1070,X1068,X1071,X1068,X1070),inference(split_conjunct,status(thm),[c279])).
% 107.71/107.94  fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 107.71/107.94  fof(c359,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 107.71/107.94  fof(c360,axiom,(![X466]:(![X467]:(![X468]:(![X469]:(~cyclic(X466,X467,X468,X469)|cyclic(X467,X466,X468,X469)))))),inference(variable_rename,status(thm),[c359])).
% 107.71/107.94  cnf(c361,axiom,~cyclic(X666,X667,X665,X668)|cyclic(X667,X666,X665,X668),inference(split_conjunct,status(thm),[c360])).
% 107.71/107.94  fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 107.71/107.94  fof(c365,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 107.71/107.94  fof(c366,axiom,(![X474]:(![X475]:(![X476]:(![X477]:(~cyclic(X474,X475,X476,X477)|cyclic(X474,X475,X477,X476)))))),inference(variable_rename,status(thm),[c365])).
% 107.71/107.94  cnf(c367,axiom,~cyclic(X674,X675,X673,X676)|cyclic(X674,X675,X676,X673),inference(split_conjunct,status(thm),[c366])).
% 107.71/107.94  fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 107.71/107.94  fof(c362,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 107.71/107.94  fof(c363,axiom,(![X470]:(![X471]:(![X472]:(![X473]:(~cyclic(X470,X471,X472,X473)|cyclic(X470,X472,X471,X473)))))),inference(variable_rename,status(thm),[c362])).
% 107.71/107.94  cnf(c364,axiom,~cyclic(X672,X671,X670,X669)|cyclic(X672,X670,X671,X669),inference(split_conjunct,status(thm),[c363])).
% 107.71/107.94  fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 107.71/107.94  fof(c406,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 107.71/107.94  fof(c407,axiom,(![X531]:(![X532]:(![X533]:(~coll(X531,X532,X533)|coll(X531,X533,X532))))),inference(variable_rename,status(thm),[c406])).
% 107.71/107.94  cnf(c408,axiom,~coll(X575,X574,X576)|coll(X575,X576,X574),inference(split_conjunct,status(thm),[c407])).
% 107.71/107.94  fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 107.71/107.94  fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 107.71/107.94  fof(c404,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X529,X528,X530))))),inference(variable_rename,status(thm),[c403])).
% 107.71/107.94  cnf(c405,axiom,~coll(X555,X557,X556)|coll(X557,X555,X556),inference(split_conjunct,status(thm),[c404])).
% 107.71/107.94  fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 107.71/107.94  fof(c189,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 107.71/107.94  fof(c190,axiom,(![X167]:(![X168]:(![X169]:(~para(X167,X168,X167,X169)|coll(X167,X168,X169))))),inference(variable_rename,status(thm),[c189])).
% 107.71/107.94  cnf(c191,axiom,~para(X642,X644,X642,X643)|coll(X642,X644,X643),inference(split_conjunct,status(thm),[c190])).
% 107.71/107.94  fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 107.71/107.94  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])).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c289,axiom,(![X299]:(![X300]:(![X301]:(![X302]:(![X303]:(![X304]:(~eqangle(X299,X300,X303,X304,X301,X302,X303,X304)|para(X299,X300,X301,X302)))))))),inference(shift_quantors,status(thm),[fof(c288,axiom,(![X299]:(![X300]:(![X301]:(![X302]:((![X303]:(![X304]:~eqangle(X299,X300,X303,X304,X301,X302,X303,X304)))|para(X299,X300,X301,X302)))))),inference(variable_rename,status(thm),[c287])).])).
% 107.71/107.94  cnf(c290,axiom,~eqangle(X1079,X1078,X1080,X1083,X1081,X1082,X1080,X1083)|para(X1079,X1078,X1081,X1082),inference(split_conjunct,status(thm),[c289])).
% 107.71/107.94  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).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c351,axiom,(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(![X450]:(![X451]:(![X452]:(~eqangle(X445,X446,X447,X448,X449,X450,X451,X452)|eqangle(X447,X448,X445,X446,X451,X452,X449,X450)))))))))),inference(variable_rename,status(thm),[c350])).
% 107.71/107.94  cnf(c352,axiom,~eqangle(X1221,X1224,X1218,X1219,X1220,X1222,X1223,X1217)|eqangle(X1218,X1219,X1221,X1224,X1223,X1217,X1220,X1222),inference(split_conjunct,status(thm),[c351])).
% 107.71/107.94  fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 107.71/107.94  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])).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c284,axiom,(![X293]:(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(~para(X293,X294,X295,X296)|eqangle(X293,X294,X297,X298,X295,X296,X297,X298)))))))),inference(shift_quantors,status(thm),[fof(c283,axiom,(![X293]:(![X294]:(![X295]:(![X296]:(~para(X293,X294,X295,X296)|(![X297]:(![X298]:eqangle(X293,X294,X297,X298,X295,X296,X297,X298)))))))),inference(variable_rename,status(thm),[c282])).])).
% 107.71/107.94  cnf(c285,axiom,~para(X1076,X1072,X1077,X1074)|eqangle(X1076,X1072,X1073,X1075,X1077,X1074,X1073,X1075),inference(split_conjunct,status(thm),[c284])).
% 107.71/107.94  fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 107.71/107.94  fof(c385,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 107.71/107.94  fof(c386,axiom,(![X502]:(![X503]:(![X504]:(![X505]:(~perp(X502,X503,X504,X505)|perp(X504,X505,X502,X503)))))),inference(variable_rename,status(thm),[c385])).
% 107.71/107.94  cnf(c387,axiom,~perp(X679,X677,X680,X678)|perp(X680,X678,X679,X677),inference(split_conjunct,status(thm),[c386])).
% 107.71/107.94  cnf(c16,negated_conjecture,circle(skolem0004,skolem0001,skolem0002,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 107.71/107.94  fof(ruleX11,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(circle(O,A,B,C)=>perp(P,A,A,O))))))),input).
% 107.71/107.94  fof(c72,axiom,(![A]:(![B]:(![C]:(![O]:(?[P]:(~circle(O,A,B,C)|perp(P,A,A,O))))))),inference(fof_nnf,status(thm),[ruleX11])).
% 107.71/107.94  fof(c73,axiom,(![A]:(![B]:(![C]:(![O]:(~circle(O,A,B,C)|(?[P]:perp(P,A,A,O))))))),inference(shift_quantors,status(thm),[c72])).
% 107.71/107.94  fof(c74,axiom,(![X55]:(![X56]:(![X57]:(![X58]:(~circle(X58,X55,X56,X57)|(?[X59]:perp(X59,X55,X55,X58))))))),inference(variable_rename,status(thm),[c73])).
% 107.71/107.94  fof(c75,axiom,(![X55]:(![X56]:(![X57]:(![X58]:(~circle(X58,X55,X56,X57)|perp(skolem0020(X55,X56,X57,X58),X55,X55,X58)))))),inference(skolemize,status(esa),[c74])).
% 107.71/107.94  cnf(c76,axiom,~circle(X788,X789,X790,X791)|perp(skolem0020(X789,X790,X791,X788),X789,X789,X788),inference(split_conjunct,status(thm),[c75])).
% 107.71/107.94  cnf(c612,plain,perp(skolem0020(skolem0001,skolem0002,skolem0003,skolem0004),skolem0001,skolem0001,skolem0004),inference(resolution,status(thm),[c76, c16])).
% 107.71/107.94  cnf(c1814,plain,perp(skolem0001,skolem0004,skolem0020(skolem0001,skolem0002,skolem0003,skolem0004),skolem0001),inference(resolution,status(thm),[c612, c387])).
% 107.71/107.94  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).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c383,axiom,(![X496]:(![X497]:(![X498]:(![X499]:(![X500]:(![X501]:((~perp(X496,X497,X498,X499)|~perp(X498,X499,X500,X501))|para(X496,X497,X500,X501)))))))),inference(variable_rename,status(thm),[c382])).
% 107.71/107.94  cnf(c384,axiom,~perp(X1261,X1256,X1259,X1258)|~perp(X1259,X1258,X1260,X1257)|para(X1261,X1256,X1260,X1257),inference(split_conjunct,status(thm),[c383])).
% 107.71/107.94  cnf(c1805,plain,~perp(X3546,X3547,skolem0020(skolem0001,skolem0002,skolem0003,skolem0004),skolem0001)|para(X3546,X3547,skolem0001,skolem0004),inference(resolution,status(thm),[c612, c384])).
% 107.71/107.94  cnf(c5037,plain,para(skolem0001,skolem0004,skolem0001,skolem0004),inference(resolution,status(thm),[c1805, c1814])).
% 107.71/107.94  cnf(c5061,plain,eqangle(skolem0001,skolem0004,X4012,X4013,skolem0001,skolem0004,X4012,X4013),inference(resolution,status(thm),[c5037, c285])).
% 107.71/107.94  cnf(c7691,plain,eqangle(X5591,X5590,skolem0001,skolem0004,X5591,X5590,skolem0001,skolem0004),inference(resolution,status(thm),[c5061, c352])).
% 107.71/107.94  cnf(c10313,plain,para(X5592,X5593,X5592,X5593),inference(resolution,status(thm),[c7691, c290])).
% 107.71/107.94  cnf(c10321,plain,coll(X5595,X5594,X5594),inference(resolution,status(thm),[c10313, c191])).
% 107.71/107.94  cnf(c10661,plain,coll(X5598,X5599,X5598),inference(resolution,status(thm),[c10321, c405])).
% 107.71/107.94  cnf(c10877,plain,coll(X5604,X5604,X5603),inference(resolution,status(thm),[c10661, c408])).
% 107.71/107.94  fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c401,axiom,(![X524]:(![X525]:(![X526]:(![X527]:((~coll(X524,X525,X526)|~coll(X524,X525,X527))|coll(X526,X527,X524)))))),inference(variable_rename,status(thm),[c400])).
% 107.71/107.94  cnf(c402,axiom,~coll(X713,X711,X712)|~coll(X713,X711,X714)|coll(X712,X714,X713),inference(split_conjunct,status(thm),[c401])).
% 107.71/107.94  cnf(c11479,plain,~coll(X7795,X7795,X7797)|coll(X7797,X7796,X7795),inference(resolution,status(thm),[c10877, c402])).
% 107.71/107.94  cnf(c17875,plain,coll(X7804,X7805,X7803),inference(resolution,status(thm),[c11479, c10877])).
% 107.71/107.94  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).
% 107.71/107.94  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])).
% 107.71/107.94  fof(c272,axiom,(![X281]:(![X282]:(![X283]:(![X284]:((~eqangle(X283,X281,X283,X282,X284,X281,X284,X282)|~coll(X283,X284,X282))|cyclic(X281,X282,X283,X284)))))),inference(variable_rename,status(thm),[c271])).
% 107.71/107.94  cnf(c273,axiom,~eqangle(X1061,X1062,X1061,X1063,X1060,X1062,X1060,X1063)|~coll(X1061,X1060,X1063)|cyclic(X1062,X1063,X1061,X1060),inference(split_conjunct,status(thm),[c272])).
% 107.71/107.94  cnf(c10330,plain,eqangle(X7517,X7519,X7516,X7518,X7517,X7519,X7516,X7518),inference(resolution,status(thm),[c10313, c285])).
% 107.71/107.94  cnf(c17636,plain,~coll(X8189,X8189,X8188)|cyclic(X8190,X8188,X8189,X8189),inference(resolution,status(thm),[c10330, c273])).
% 107.71/107.94  cnf(c18484,plain,cyclic(X8193,X8192,X8191,X8191),inference(resolution,status(thm),[c17636, c17875])).
% 107.71/107.94  cnf(c18490,plain,cyclic(X8198,X8197,X8199,X8197),inference(resolution,status(thm),[c18484, c364])).
% 107.71/107.94  cnf(c18493,plain,cyclic(X8208,X8206,X8206,X8207),inference(resolution,status(thm),[c18490, c367])).
% 107.71/107.94  cnf(c18507,plain,cyclic(X8225,X8224,X8225,X8226),inference(resolution,status(thm),[c18493, c361])).
% 107.71/107.94  fof(ruleD17,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((cyclic(A,B,C,D)&cyclic(A,B,C,E))=>cyclic(B,C,D,E))))))),input).
% 107.71/107.94  fof(c356,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))))))),inference(fof_nnf,status(thm),[ruleD17])).
% 107.71/107.94  fof(c357,axiom,(![X461]:(![X462]:(![X463]:(![X464]:(![X465]:((~cyclic(X461,X462,X463,X464)|~cyclic(X461,X462,X463,X465))|cyclic(X462,X463,X464,X465))))))),inference(variable_rename,status(thm),[c356])).
% 107.71/107.94  cnf(c358,axiom,~cyclic(X1238,X1235,X1237,X1236)|~cyclic(X1238,X1235,X1237,X1239)|cyclic(X1235,X1237,X1236,X1239),inference(split_conjunct,status(thm),[c357])).
% 107.71/107.94  cnf(c18521,plain,~cyclic(X11859,X11857,X11859,X11858)|cyclic(X11857,X11859,X11858,X11860),inference(resolution,status(thm),[c18507, c358])).
% 107.71/107.94  cnf(c24552,plain,cyclic(X11872,X11875,X11874,X11873),inference(resolution,status(thm),[c18521, c18507])).
% 107.71/107.94  cnf(c24561,plain,eqangle(X11883,X11885,X11883,X11882,X11884,X11885,X11884,X11882),inference(resolution,status(thm),[c24552, c280])).
% 107.71/107.94  cnf(c24574,plain,eqangle(X11908,X11906,X11906,X11907,X11909,X11908,X11909,X11907),inference(resolution,status(thm),[c24561, c355])).
% 107.71/107.94  cnf(c24594,plain,eqangle(X11941,X11939,X11941,X11938,X11939,X11940,X11940,X11938),inference(resolution,status(thm),[c24574, c349])).
% 107.71/107.94  cnf(c24641,plain,eqangle(X12015,X12016,X12016,X12017,X12015,X12018,X12018,X12017),inference(resolution,status(thm),[c24594, c355])).
% 107.71/107.94  cnf(c24707,plain,$false,inference(resolution,status(thm),[c24641, c23])).
% 107.71/107.94  # SZS output end CNFRefutation
% 107.71/107.94  
% 107.71/107.94  # Initial clauses    : 135
% 107.71/107.94  # Processed clauses  : 3784
% 107.71/107.94  # Factors computed   : 0
% 107.71/107.94  # Resolvents computed: 24307
% 107.71/107.94  # Tautologies deleted: 4
% 107.71/107.94  # Forward subsumed   : 8387
% 107.71/107.94  # Backward subsumed  : 1993
% 107.71/107.94  # -------- CPU Time ---------
% 107.71/107.94  # User time          : 107.501 s
% 107.71/107.94  # System time        : 0.069 s
% 107.71/107.94  # Total time         : 107.570 s
%------------------------------------------------------------------------------