TSTP Solution File: GEO660+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 06:01:22 EDT 2022
% Result : Theorem 92.05s 92.27s
% Output : Refutation 92.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 23:29:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 92.05/92.27 # Version: 1.3
% 92.05/92.27 # SZS status Theorem
% 92.05/92.27 # SZS output start CNFRefutation
% 92.05/92.27 fof(exemplo7Book00EE02E02319,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(((((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B))&coll(G,B,C))&coll(G,A,E))=>para(E,F,C,B))))))))),input).
% 92.05/92.27 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(((((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B))&coll(G,B,C))&coll(G,A,E))=>para(E,F,C,B)))))))))),inference(assume_negation,status(cth),[exemplo7Book00EE02E02319])).
% 92.05/92.27 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(((((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B))&coll(G,B,C))&coll(G,A,E))&~para(E,F,C,B))))))))),inference(fof_nnf,status(thm),[c11])).
% 92.05/92.27 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:((?[G]:((((((((perp(C,A,C,B)&perp(D,C,A,B))&coll(D,A,B))&coll(E,C,D))&coll(F,A,B))&eqangle(B,A,A,E,E,A,A,C))&eqangle(D,C,C,F,F,C,C,B))&coll(G,B,C))&coll(G,A,E)))&~para(E,F,C,B)))))))),inference(shift_quantors,status(thm),[c12])).
% 92.05/92.27 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((?[X8]:((((((((perp(X4,X2,X4,X3)&perp(X5,X4,X2,X3))&coll(X5,X2,X3))&coll(X6,X4,X5))&coll(X7,X2,X3))&eqangle(X3,X2,X2,X6,X6,X2,X2,X4))&eqangle(X5,X4,X4,X7,X7,X4,X4,X3))&coll(X8,X3,X4))&coll(X8,X2,X6)))&~para(X6,X7,X4,X3)))))))),inference(variable_rename,status(thm),[c13])).
% 92.05/92.27 fof(c15,negated_conjecture,(((((((((perp(skolem0003,skolem0001,skolem0003,skolem0002)&perp(skolem0004,skolem0003,skolem0001,skolem0002))&coll(skolem0004,skolem0001,skolem0002))&coll(skolem0005,skolem0003,skolem0004))&coll(skolem0006,skolem0001,skolem0002))&eqangle(skolem0002,skolem0001,skolem0001,skolem0005,skolem0005,skolem0001,skolem0001,skolem0003))&eqangle(skolem0004,skolem0003,skolem0003,skolem0006,skolem0006,skolem0003,skolem0003,skolem0002))&coll(skolem0007,skolem0002,skolem0003))&coll(skolem0007,skolem0001,skolem0005))&~para(skolem0005,skolem0006,skolem0003,skolem0002)),inference(skolemize,status(esa),[c14])).
% 92.05/92.27 cnf(c25,negated_conjecture,~para(skolem0005,skolem0006,skolem0003,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 92.05/92.27 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 92.05/92.27 fof(c265,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])).
% 92.05/92.27 fof(c266,axiom,(![X266]:(![X267]:(![X268]:(![X269]:(![X270]:((~midp(X269,X266,X267)|~midp(X270,X266,X268))|para(X269,X270,X267,X268))))))),inference(variable_rename,status(thm),[c265])).
% 92.05/92.27 cnf(c267,axiom,~midp(X1049,X1052,X1053)|~midp(X1051,X1052,X1050)|para(X1049,X1051,X1053,X1050),inference(split_conjunct,status(thm),[c266])).
% 92.05/92.27 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 92.05/92.27 fof(c408,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 92.05/92.27 fof(c409,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X527,X529,X528))))),inference(variable_rename,status(thm),[c408])).
% 92.05/92.27 cnf(c410,axiom,~coll(X577,X578,X576)|coll(X577,X576,X578),inference(split_conjunct,status(thm),[c409])).
% 92.05/92.27 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 92.05/92.27 fof(c405,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 92.05/92.27 fof(c406,axiom,(![X524]:(![X525]:(![X526]:(~coll(X524,X525,X526)|coll(X525,X524,X526))))),inference(variable_rename,status(thm),[c405])).
% 92.05/92.27 cnf(c407,axiom,~coll(X551,X552,X553)|coll(X552,X551,X553),inference(split_conjunct,status(thm),[c406])).
% 92.05/92.27 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 92.05/92.27 fof(c191,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 92.05/92.27 fof(c192,axiom,(![X163]:(![X164]:(![X165]:(~para(X163,X164,X163,X165)|coll(X163,X164,X165))))),inference(variable_rename,status(thm),[c191])).
% 92.05/92.27 cnf(c193,axiom,~para(X670,X669,X670,X668)|coll(X670,X669,X668),inference(split_conjunct,status(thm),[c192])).
% 92.05/92.27 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 92.05/92.27 fof(c288,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])).
% 92.05/92.27 fof(c289,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),[c288])).
% 92.05/92.27 fof(c291,axiom,(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(![X300]:(~eqangle(X295,X296,X299,X300,X297,X298,X299,X300)|para(X295,X296,X297,X298)))))))),inference(shift_quantors,status(thm),[fof(c290,axiom,(![X295]:(![X296]:(![X297]:(![X298]:((![X299]:(![X300]:~eqangle(X295,X296,X299,X300,X297,X298,X299,X300)))|para(X295,X296,X297,X298)))))),inference(variable_rename,status(thm),[c289])).])).
% 92.05/92.27 cnf(c292,axiom,~eqangle(X1085,X1082,X1081,X1084,X1086,X1083,X1081,X1084)|para(X1085,X1082,X1086,X1083),inference(split_conjunct,status(thm),[c291])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c352,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])).
% 92.05/92.27 fof(c353,axiom,(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(~eqangle(X441,X442,X443,X444,X445,X446,X447,X448)|eqangle(X443,X444,X441,X442,X447,X448,X445,X446)))))))))),inference(variable_rename,status(thm),[c352])).
% 92.05/92.27 cnf(c354,axiom,~eqangle(X1229,X1227,X1228,X1226,X1224,X1225,X1230,X1231)|eqangle(X1228,X1226,X1229,X1227,X1230,X1231,X1224,X1225),inference(split_conjunct,status(thm),[c353])).
% 92.05/92.27 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 92.05/92.27 fof(c283,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])).
% 92.05/92.27 fof(c284,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),[c283])).
% 92.05/92.27 fof(c286,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(![X293]:(![X294]:(~para(X289,X290,X291,X292)|eqangle(X289,X290,X293,X294,X291,X292,X293,X294)))))))),inference(shift_quantors,status(thm),[fof(c285,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(~para(X289,X290,X291,X292)|(![X293]:(![X294]:eqangle(X289,X290,X293,X294,X291,X292,X293,X294)))))))),inference(variable_rename,status(thm),[c284])).])).
% 92.05/92.27 cnf(c287,axiom,~para(X1077,X1076,X1074,X1078)|eqangle(X1077,X1076,X1075,X1079,X1074,X1078,X1075,X1079),inference(split_conjunct,status(thm),[c286])).
% 92.05/92.27 cnf(c16,negated_conjecture,perp(skolem0003,skolem0001,skolem0003,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 92.05/92.27 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 92.05/92.27 fof(c387,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 92.05/92.27 fof(c388,axiom,(![X498]:(![X499]:(![X500]:(![X501]:(~perp(X498,X499,X500,X501)|perp(X500,X501,X498,X499)))))),inference(variable_rename,status(thm),[c387])).
% 92.05/92.27 cnf(c389,axiom,~perp(X698,X697,X700,X699)|perp(X700,X699,X698,X697),inference(split_conjunct,status(thm),[c388])).
% 92.05/92.27 cnf(c507,plain,perp(skolem0003,skolem0002,skolem0003,skolem0001),inference(resolution,status(thm),[c389, c16])).
% 92.05/92.27 fof(ruleD7,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(A,B,D,C)))))),input).
% 92.05/92.27 fof(c390,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD7])).
% 92.05/92.27 fof(c391,axiom,(![X502]:(![X503]:(![X504]:(![X505]:(~perp(X502,X503,X504,X505)|perp(X502,X503,X505,X504)))))),inference(variable_rename,status(thm),[c390])).
% 92.05/92.27 cnf(c392,axiom,~perp(X705,X706,X704,X707)|perp(X705,X706,X707,X704),inference(split_conjunct,status(thm),[c391])).
% 92.05/92.27 cnf(c516,plain,perp(skolem0003,skolem0002,skolem0001,skolem0003),inference(resolution,status(thm),[c392, c507])).
% 92.05/92.27 cnf(c526,plain,perp(skolem0001,skolem0003,skolem0003,skolem0002),inference(resolution,status(thm),[c516, c389])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c384,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])).
% 92.05/92.27 fof(c385,axiom,(![X492]:(![X493]:(![X494]:(![X495]:(![X496]:(![X497]:((~perp(X492,X493,X494,X495)|~perp(X494,X495,X496,X497))|para(X492,X493,X496,X497)))))))),inference(variable_rename,status(thm),[c384])).
% 92.05/92.27 cnf(c386,axiom,~perp(X1262,X1261,X1260,X1263)|~perp(X1260,X1263,X1265,X1264)|para(X1262,X1261,X1265,X1264),inference(split_conjunct,status(thm),[c385])).
% 92.05/92.27 cnf(c1672,plain,~perp(X2999,X3000,skolem0001,skolem0003)|para(X2999,X3000,skolem0003,skolem0002),inference(resolution,status(thm),[c386, c526])).
% 92.05/92.27 cnf(c6281,plain,para(skolem0003,skolem0002,skolem0003,skolem0002),inference(resolution,status(thm),[c1672, c516])).
% 92.05/92.27 cnf(c6311,plain,eqangle(skolem0003,skolem0002,X3319,X3318,skolem0003,skolem0002,X3319,X3318),inference(resolution,status(thm),[c6281, c287])).
% 92.05/92.27 cnf(c7215,plain,eqangle(X3410,X3409,skolem0003,skolem0002,X3410,X3409,skolem0003,skolem0002),inference(resolution,status(thm),[c6311, c354])).
% 92.05/92.27 cnf(c7679,plain,para(X3412,X3411,X3412,X3411),inference(resolution,status(thm),[c7215, c292])).
% 92.05/92.27 cnf(c7716,plain,coll(X3414,X3413,X3413),inference(resolution,status(thm),[c7679, c193])).
% 92.05/92.27 cnf(c7862,plain,coll(X3416,X3415,X3416),inference(resolution,status(thm),[c7716, c407])).
% 92.05/92.27 cnf(c8579,plain,coll(X3426,X3426,X3425),inference(resolution,status(thm),[c7862, c410])).
% 92.05/92.27 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 92.05/92.27 fof(c402,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 92.05/92.27 fof(c403,axiom,(![X520]:(![X521]:(![X522]:(![X523]:((~coll(X520,X521,X522)|~coll(X520,X521,X523))|coll(X522,X523,X520)))))),inference(variable_rename,status(thm),[c402])).
% 92.05/92.27 cnf(c404,axiom,~coll(X755,X758,X757)|~coll(X755,X758,X756)|coll(X757,X756,X755),inference(split_conjunct,status(thm),[c403])).
% 92.05/92.27 cnf(c8656,plain,~coll(X4487,X4487,X4488)|coll(X4488,X4489,X4487),inference(resolution,status(thm),[c8579, c404])).
% 92.05/92.27 cnf(c15938,plain,coll(X4492,X4490,X4491),inference(resolution,status(thm),[c8656, c8579])).
% 92.05/92.27 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 92.05/92.27 fof(c188,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 92.05/92.27 fof(c189,axiom,(![X160]:(![X161]:(![X162]:((~cong(X160,X161,X160,X162)|~coll(X160,X161,X162))|midp(X160,X161,X162))))),inference(variable_rename,status(thm),[c188])).
% 92.05/92.27 cnf(c190,axiom,~cong(X947,X946,X947,X948)|~coll(X947,X946,X948)|midp(X947,X946,X948),inference(split_conjunct,status(thm),[c189])).
% 92.05/92.27 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 92.05/92.27 fof(c340,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 92.05/92.27 fof(c341,axiom,(![X409]:(![X410]:(![X411]:(![X412]:(~cong(X409,X410,X411,X412)|cong(X409,X410,X412,X411)))))),inference(variable_rename,status(thm),[c340])).
% 92.05/92.27 cnf(c342,axiom,~cong(X676,X678,X677,X675)|cong(X676,X678,X675,X677),inference(split_conjunct,status(thm),[c341])).
% 92.05/92.27 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 92.05/92.27 fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 92.05/92.27 fof(c362,axiom,(![X462]:(![X463]:(![X464]:(![X465]:(~cyclic(X462,X463,X464,X465)|cyclic(X463,X462,X464,X465)))))),inference(variable_rename,status(thm),[c361])).
% 92.05/92.27 cnf(c363,axiom,~cyclic(X687,X685,X688,X686)|cyclic(X685,X687,X688,X686),inference(split_conjunct,status(thm),[c362])).
% 92.05/92.27 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 92.05/92.27 fof(c364,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 92.05/92.27 fof(c365,axiom,(![X466]:(![X467]:(![X468]:(![X469]:(~cyclic(X466,X467,X468,X469)|cyclic(X466,X468,X467,X469)))))),inference(variable_rename,status(thm),[c364])).
% 92.05/92.27 cnf(c366,axiom,~cyclic(X690,X692,X691,X689)|cyclic(X690,X691,X692,X689),inference(split_conjunct,status(thm),[c365])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c273,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])).
% 92.05/92.27 fof(c274,axiom,(![X277]:(![X278]:(![X279]:(![X280]:((~eqangle(X279,X277,X279,X278,X280,X277,X280,X278)|~coll(X279,X280,X278))|cyclic(X277,X278,X279,X280)))))),inference(variable_rename,status(thm),[c273])).
% 92.05/92.27 cnf(c275,axiom,~eqangle(X1060,X1063,X1060,X1062,X1061,X1063,X1061,X1062)|~coll(X1060,X1061,X1062)|cyclic(X1063,X1062,X1060,X1061),inference(split_conjunct,status(thm),[c274])).
% 92.05/92.27 cnf(c7718,plain,eqangle(X4270,X4269,X4271,X4268,X4270,X4269,X4271,X4268),inference(resolution,status(thm),[c7679, c287])).
% 92.05/92.27 cnf(c15588,plain,~coll(X4828,X4828,X4827)|cyclic(X4829,X4827,X4828,X4828),inference(resolution,status(thm),[c7718, c275])).
% 92.05/92.27 cnf(c16434,plain,cyclic(X4831,X4830,X4832,X4832),inference(resolution,status(thm),[c15588, c15938])).
% 92.05/92.27 cnf(c16437,plain,cyclic(X4834,X4833,X4835,X4833),inference(resolution,status(thm),[c16434, c366])).
% 92.05/92.27 cnf(c16448,plain,cyclic(X4852,X4854,X4853,X4852),inference(resolution,status(thm),[c16437, c363])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c268,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])).
% 92.05/92.27 fof(c269,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),[c268])).
% 92.05/92.27 fof(c271,axiom,(![X271]:(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:((((~cyclic(X271,X272,X273,X274)|~cyclic(X271,X272,X273,X275))|~cyclic(X271,X272,X273,X276))|~eqangle(X273,X271,X273,X272,X276,X274,X276,X275))|cong(X271,X272,X274,X275)))))))),inference(shift_quantors,status(thm),[fof(c270,axiom,(![X271]:(![X272]:(![X273]:(![X274]:(![X275]:((![X276]:(((~cyclic(X271,X272,X273,X274)|~cyclic(X271,X272,X273,X275))|~cyclic(X271,X272,X273,X276))|~eqangle(X273,X271,X273,X272,X276,X274,X276,X275)))|cong(X271,X272,X274,X275))))))),inference(variable_rename,status(thm),[c269])).])).
% 92.05/92.27 cnf(c272,axiom,~cyclic(X1055,X1056,X1054,X1057)|~cyclic(X1055,X1056,X1054,X1059)|~cyclic(X1055,X1056,X1054,X1058)|~eqangle(X1054,X1055,X1054,X1056,X1058,X1057,X1058,X1059)|cong(X1055,X1056,X1057,X1059),inference(split_conjunct,status(thm),[c271])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c349,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])).
% 92.05/92.27 fof(c350,axiom,(![X433]:(![X434]:(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(![X440]:(~eqangle(X433,X434,X435,X436,X437,X438,X439,X440)|eqangle(X437,X438,X439,X440,X433,X434,X435,X436)))))))))),inference(variable_rename,status(thm),[c349])).
% 92.05/92.27 cnf(c351,axiom,~eqangle(X1217,X1223,X1220,X1218,X1216,X1221,X1222,X1219)|eqangle(X1216,X1221,X1222,X1219,X1217,X1223,X1220,X1218),inference(split_conjunct,status(thm),[c350])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c346,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])).
% 92.05/92.27 fof(c347,axiom,(![X425]:(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(~eqangle(X425,X426,X427,X428,X429,X430,X431,X432)|eqangle(X425,X426,X429,X430,X427,X428,X431,X432)))))))))),inference(variable_rename,status(thm),[c346])).
% 92.05/92.27 cnf(c348,axiom,~eqangle(X1214,X1208,X1211,X1212,X1215,X1209,X1213,X1210)|eqangle(X1214,X1208,X1215,X1209,X1211,X1212,X1213,X1210),inference(split_conjunct,status(thm),[c347])).
% 92.05/92.27 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 92.05/92.27 fof(c399,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 92.05/92.27 fof(c400,axiom,(![X516]:(![X517]:(![X518]:(![X519]:(~para(X516,X517,X518,X519)|para(X516,X517,X519,X518)))))),inference(variable_rename,status(thm),[c399])).
% 92.05/92.27 cnf(c401,axiom,~para(X742,X740,X739,X741)|para(X742,X740,X741,X739),inference(split_conjunct,status(thm),[c400])).
% 92.05/92.27 cnf(c7715,plain,para(X3435,X3436,X3436,X3435),inference(resolution,status(thm),[c7679, c401])).
% 92.05/92.27 cnf(c8883,plain,eqangle(X4648,X4649,X4650,X4647,X4649,X4648,X4650,X4647),inference(resolution,status(thm),[c7715, c287])).
% 92.05/92.27 cnf(c16336,plain,eqangle(X4691,X4690,X4690,X4691,X4689,X4692,X4689,X4692),inference(resolution,status(thm),[c8883, c348])).
% 92.05/92.27 cnf(c16364,plain,eqangle(X4725,X4726,X4725,X4726,X4727,X4728,X4728,X4727),inference(resolution,status(thm),[c16336, c351])).
% 92.05/92.27 cnf(c16393,plain,~cyclic(X5763,X5763,X5761,X5762)|cong(X5763,X5763,X5762,X5762),inference(resolution,status(thm),[c16364, c272])).
% 92.05/92.27 cnf(c17161,plain,cong(X5767,X5767,X5767,X5767),inference(resolution,status(thm),[c16393, c16448])).
% 92.05/92.27 cnf(c17176,plain,~coll(X5790,X5790,X5790)|midp(X5790,X5790,X5790),inference(resolution,status(thm),[c17161, c190])).
% 92.05/92.27 cnf(c17201,plain,midp(X5791,X5791,X5791),inference(resolution,status(thm),[c17176, c15938])).
% 92.05/92.27 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 92.05/92.27 fof(c240,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])).
% 92.05/92.27 fof(c241,axiom,(![X231]:(![X232]:(![X233]:(![X234]:((~perp(X231,X232,X232,X233)|~midp(X234,X231,X233))|cong(X231,X234,X232,X234)))))),inference(variable_rename,status(thm),[c240])).
% 92.05/92.27 cnf(c242,axiom,~perp(X1016,X1014,X1014,X1013)|~midp(X1015,X1016,X1013)|cong(X1016,X1015,X1014,X1015),inference(split_conjunct,status(thm),[c241])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c161,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])).
% 92.05/92.27 fof(c162,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),[c161])).
% 92.05/92.27 fof(c164,axiom,(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:((~eqangle(X124,X125,X126,X127,X128,X129,X130,X131)|~perp(X128,X129,X130,X131))|perp(X124,X125,X126,X127)))))))))),inference(shift_quantors,status(thm),[fof(c163,axiom,(![X124]:(![X125]:(![X126]:(![X127]:((![X128]:(![X129]:(![X130]:(![X131]:(~eqangle(X124,X125,X126,X127,X128,X129,X130,X131)|~perp(X128,X129,X130,X131))))))|perp(X124,X125,X126,X127)))))),inference(variable_rename,status(thm),[c162])).])).
% 92.05/92.27 cnf(c165,axiom,~eqangle(X922,X921,X917,X915,X920,X916,X918,X919)|~perp(X920,X916,X918,X919)|perp(X922,X921,X917,X915),inference(split_conjunct,status(thm),[c164])).
% 92.05/92.27 cnf(c16363,plain,~perp(X5738,X5735,X5738,X5735)|perp(X5736,X5737,X5737,X5736),inference(resolution,status(thm),[c16336, c165])).
% 92.05/92.27 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 92.05/92.27 fof(c367,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 92.05/92.27 fof(c368,axiom,(![X470]:(![X471]:(![X472]:(![X473]:(~cyclic(X470,X471,X472,X473)|cyclic(X470,X471,X473,X472)))))),inference(variable_rename,status(thm),[c367])).
% 92.05/92.27 cnf(c369,axiom,~cyclic(X696,X694,X695,X693)|cyclic(X696,X694,X693,X695),inference(split_conjunct,status(thm),[c368])).
% 92.05/92.27 cnf(c16447,plain,cyclic(X4849,X4850,X4850,X4851),inference(resolution,status(thm),[c16437, c369])).
% 92.05/92.27 cnf(c16457,plain,cyclic(X4865,X4866,X4865,X4864),inference(resolution,status(thm),[c16447, c363])).
% 92.05/92.27 cnf(c17162,plain,cong(X5768,X5768,X5769,X5769),inference(resolution,status(thm),[c16393, c16457])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c223,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])).
% 92.05/92.27 fof(c224,axiom,(![X211]:(![X212]:(![X213]:(![X214]:(((~cong(X211,X213,X212,X213)|~cong(X211,X214,X212,X214))|~cyclic(X211,X212,X213,X214))|perp(X213,X211,X211,X214)))))),inference(variable_rename,status(thm),[c223])).
% 92.05/92.27 cnf(c225,axiom,~cong(X995,X994,X992,X994)|~cong(X995,X993,X992,X993)|~cyclic(X995,X992,X994,X993)|perp(X994,X995,X995,X993),inference(split_conjunct,status(thm),[c224])).
% 92.05/92.27 cnf(c16442,plain,~cong(X5873,X5874,X5872,X5874)|perp(X5874,X5873,X5873,X5874),inference(resolution,status(thm),[c16434, c225])).
% 92.05/92.27 cnf(c17339,plain,perp(X5875,X5875,X5875,X5875),inference(resolution,status(thm),[c16442, c17162])).
% 92.05/92.27 cnf(c17342,plain,perp(X5877,X5876,X5876,X5877),inference(resolution,status(thm),[c17339, c16363])).
% 92.05/92.27 cnf(c17376,plain,~midp(X6009,X6010,X6010)|cong(X6010,X6009,X6008,X6009),inference(resolution,status(thm),[c17342, c242])).
% 92.05/92.27 cnf(c17665,plain,cong(X6011,X6011,X6012,X6011),inference(resolution,status(thm),[c17376, c17201])).
% 92.05/92.27 cnf(c17681,plain,cong(X6016,X6016,X6016,X6015),inference(resolution,status(thm),[c17665, c342])).
% 92.05/92.27 cnf(c17709,plain,~coll(X6088,X6088,X6087)|midp(X6088,X6088,X6087),inference(resolution,status(thm),[c17681, c190])).
% 92.05/92.27 cnf(c17829,plain,midp(X6090,X6090,X6089),inference(resolution,status(thm),[c17709, c15938])).
% 92.05/92.27 cnf(c17853,plain,~midp(X9420,X9417,X9419)|para(X9420,X9417,X9419,X9418),inference(resolution,status(thm),[c17829, c267])).
% 92.05/92.27 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 92.05/92.27 fof(c337,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 92.05/92.27 fof(c338,axiom,(![X405]:(![X406]:(![X407]:(![X408]:(~cong(X405,X406,X407,X408)|cong(X407,X408,X405,X406)))))),inference(variable_rename,status(thm),[c337])).
% 92.05/92.27 cnf(c339,axiom,~cong(X672,X674,X673,X671)|cong(X673,X671,X672,X674),inference(split_conjunct,status(thm),[c338])).
% 92.05/92.27 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 92.05/92.27 fof(c229,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])).
% 92.05/92.27 fof(c230,axiom,(![X219]:(![X220]:(![X221]:(![X222]:((~midp(X221,X219,X220)|~perp(X222,X221,X219,X220))|cong(X222,X219,X222,X220)))))),inference(variable_rename,status(thm),[c229])).
% 92.05/92.27 cnf(c231,axiom,~midp(X1003,X1001,X1002)|~perp(X1004,X1003,X1001,X1002)|cong(X1004,X1001,X1004,X1002),inference(split_conjunct,status(thm),[c230])).
% 92.05/92.27 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 92.05/92.27 fof(c378,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 92.05/92.27 fof(c379,axiom,(![X483]:(![X484]:(![X485]:(~midp(X485,X484,X483)|midp(X485,X483,X484))))),inference(variable_rename,status(thm),[c378])).
% 92.05/92.27 cnf(c380,axiom,~midp(X550,X549,X548)|midp(X550,X548,X549),inference(split_conjunct,status(thm),[c379])).
% 92.05/92.27 cnf(c17856,plain,midp(X6092,X6091,X6092),inference(resolution,status(thm),[c17829, c380])).
% 92.05/92.27 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 92.05/92.27 fof(c200,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])).
% 92.05/92.27 fof(c201,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c200])).
% 92.05/92.27 fof(c203,axiom,(![X176]:(![X177]:(![X178]:(![X179]:(![X180]:((~midp(X180,X176,X177)|~midp(X180,X178,X179))|para(X176,X178,X177,X179))))))),inference(shift_quantors,status(thm),[fof(c202,axiom,(![X176]:(![X177]:(![X178]:(![X179]:((![X180]:(~midp(X180,X176,X177)|~midp(X180,X178,X179)))|para(X176,X178,X177,X179)))))),inference(variable_rename,status(thm),[c201])).])).
% 92.05/92.27 cnf(c204,axiom,~midp(X961,X963,X965)|~midp(X961,X962,X964)|para(X963,X962,X965,X964),inference(split_conjunct,status(thm),[c203])).
% 92.05/92.27 cnf(c17834,plain,~midp(X7129,X7128,X7126)|para(X7128,X7129,X7126,X7127),inference(resolution,status(thm),[c17829, c204])).
% 92.05/92.27 cnf(c19301,plain,para(X7138,X7137,X7137,X7136),inference(resolution,status(thm),[c17834, c17856])).
% 92.05/92.27 cnf(c19350,plain,para(X7163,X7164,X7165,X7164),inference(resolution,status(thm),[c19301, c401])).
% 92.05/92.27 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).
% 92.05/92.27 fof(c381,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])).
% 92.05/92.27 fof(c382,axiom,(![X486]:(![X487]:(![X488]:(![X489]:(![X490]:(![X491]:((~para(X486,X487,X488,X489)|~perp(X488,X489,X490,X491))|perp(X486,X487,X490,X491)))))))),inference(variable_rename,status(thm),[c381])).
% 92.05/92.27 cnf(c383,axiom,~para(X1255,X1256,X1259,X1258)|~perp(X1259,X1258,X1257,X1254)|perp(X1255,X1256,X1257,X1254),inference(split_conjunct,status(thm),[c382])).
% 92.05/92.27 cnf(c17352,plain,~para(X14366,X14367,X14365,X14365)|perp(X14366,X14367,X14365,X14365),inference(resolution,status(thm),[c17339, c383])).
% 92.05/92.27 cnf(c28043,plain,perp(X14368,X14369,X14369,X14369),inference(resolution,status(thm),[c17352, c19350])).
% 92.05/92.27 cnf(c28057,plain,~midp(X15311,X15311,X15311)|cong(X15312,X15311,X15312,X15311),inference(resolution,status(thm),[c28043, c231])).
% 92.05/92.27 cnf(c29135,plain,cong(X15313,X15314,X15313,X15314),inference(resolution,status(thm),[c28057, c17829])).
% 92.05/92.27 cnf(c29145,plain,~coll(X15335,X15334,X15334)|midp(X15335,X15334,X15334),inference(resolution,status(thm),[c29135, c190])).
% 92.05/92.27 cnf(c29185,plain,midp(X15336,X15337,X15337),inference(resolution,status(thm),[c29145, c15938])).
% 92.05/92.27 cnf(c29224,plain,cong(X15343,X15344,X15345,X15344),inference(resolution,status(thm),[c29185, c17376])).
% 92.05/92.27 cnf(c29343,plain,cong(X15362,X15361,X15361,X15360),inference(resolution,status(thm),[c29224, c342])).
% 92.05/92.27 cnf(c29348,plain,cong(X15367,X15366,X15368,X15367),inference(resolution,status(thm),[c29343, c339])).
% 92.05/92.27 cnf(c29375,plain,cong(X15376,X15377,X15376,X15375),inference(resolution,status(thm),[c29348, c342])).
% 92.05/92.27 cnf(c29382,plain,~coll(X15425,X15426,X15424)|midp(X15425,X15426,X15424),inference(resolution,status(thm),[c29375, c190])).
% 92.05/92.27 cnf(c29429,plain,midp(X15427,X15429,X15428),inference(resolution,status(thm),[c29382, c15938])).
% 92.05/92.27 cnf(c29430,plain,para(X15432,X15430,X15433,X15431),inference(resolution,status(thm),[c29429, c17853])).
% 92.05/92.27 cnf(c29447,plain,$false,inference(resolution,status(thm),[c29430, c25])).
% 92.05/92.27 # SZS output end CNFRefutation
% 92.05/92.27
% 92.05/92.27 # Initial clauses : 137
% 92.05/92.27 # Processed clauses : 3524
% 92.05/92.27 # Factors computed : 0
% 92.05/92.27 # Resolvents computed: 29048
% 92.05/92.27 # Tautologies deleted: 5
% 92.05/92.27 # Forward subsumed : 10349
% 92.05/92.27 # Backward subsumed : 3209
% 92.05/92.27 # -------- CPU Time ---------
% 92.05/92.27 # User time : 91.802 s
% 92.05/92.27 # System time : 0.066 s
% 92.05/92.27 # Total time : 91.868 s
%------------------------------------------------------------------------------