TSTP Solution File: GEO576+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 06:01:00 EDT 2022
% Result : Theorem 87.36s 87.61s
% Output : Refutation 87.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 17:22:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 87.36/87.61 # Version: 1.3
% 87.36/87.61 # SZS status Theorem
% 87.36/87.61 # SZS output start CNFRefutation
% 87.36/87.61 fof(exemplo6GDDFULL214038,conjecture,(![A]:(![B]:(![C]:(![D]:(![O]:(![D1]:(![P]:(![NWPNT1]:(((((((perp(D,A,B,C)&coll(D,B,C))&circle(O,A,B,C))&circle(O,A,D1,NWPNT1))&coll(D1,A,D))&perp(A,C,D1,P))&coll(P,B,C))=>eqangle(O,A,A,D,C,A,A,P)))))))))),input).
% 87.36/87.61 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![O]:(![D1]:(![P]:(![NWPNT1]:(((((((perp(D,A,B,C)&coll(D,B,C))&circle(O,A,B,C))&circle(O,A,D1,NWPNT1))&coll(D1,A,D))&perp(A,C,D1,P))&coll(P,B,C))=>eqangle(O,A,A,D,C,A,A,P))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL214038])).
% 87.36/87.61 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[O]:(?[D1]:(?[P]:(?[NWPNT1]:(((((((perp(D,A,B,C)&coll(D,B,C))&circle(O,A,B,C))&circle(O,A,D1,NWPNT1))&coll(D1,A,D))&perp(A,C,D1,P))&coll(P,B,C))&~eqangle(O,A,A,D,C,A,A,P)))))))))),inference(fof_nnf,status(thm),[c11])).
% 87.36/87.61 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[O]:(?[D1]:(?[P]:(((((((perp(D,A,B,C)&coll(D,B,C))&circle(O,A,B,C))&(?[NWPNT1]:circle(O,A,D1,NWPNT1)))&coll(D1,A,D))&perp(A,C,D1,P))&coll(P,B,C))&~eqangle(O,A,A,D,C,A,A,P))))))))),inference(shift_quantors,status(thm),[c12])).
% 87.36/87.61 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(((((((perp(X5,X2,X3,X4)&coll(X5,X3,X4))&circle(X6,X2,X3,X4))&(?[X9]:circle(X6,X2,X7,X9)))&coll(X7,X2,X5))&perp(X2,X4,X7,X8))&coll(X8,X3,X4))&~eqangle(X6,X2,X2,X5,X4,X2,X2,X8))))))))),inference(variable_rename,status(thm),[c13])).
% 87.36/87.61 fof(c15,negated_conjecture,(((((((perp(skolem0004,skolem0001,skolem0002,skolem0003)&coll(skolem0004,skolem0002,skolem0003))&circle(skolem0005,skolem0001,skolem0002,skolem0003))&circle(skolem0005,skolem0001,skolem0006,skolem0008))&coll(skolem0006,skolem0001,skolem0004))&perp(skolem0001,skolem0003,skolem0006,skolem0007))&coll(skolem0007,skolem0002,skolem0003))&~eqangle(skolem0005,skolem0001,skolem0001,skolem0004,skolem0003,skolem0001,skolem0001,skolem0007)),inference(skolemize,status(esa),[c14])).
% 87.36/87.61 cnf(c23,negated_conjecture,~eqangle(skolem0005,skolem0001,skolem0001,skolem0004,skolem0003,skolem0001,skolem0001,skolem0007),inference(split_conjunct,status(thm),[c15])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c345,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),[c344])).
% 87.36/87.61 cnf(c346,axiom,~eqangle(X1203,X1202,X1201,X1206,X1200,X1204,X1205,X1199)|eqangle(X1203,X1202,X1200,X1204,X1201,X1206,X1205,X1199),inference(split_conjunct,status(thm),[c345])).
% 87.36/87.61 fof(ruleD22,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(![E]:(![F]:(![G]:(![H]:((eqangle(A,B,C,D,P,Q,U,V)&eqangle(P,Q,U,V,E,F,G,H))=>eqangle(A,B,C,D,E,F,G,H)))))))))))))),input).
% 87.36/87.61 fof(c341,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(![E]:(![F]:(![G]:(![H]:((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H)))))))))))))),inference(fof_nnf,status(thm),[ruleD22])).
% 87.36/87.61 fof(c342,axiom,(![X414]:(![X415]:(![X416]:(![X417]:(![X418]:(![X419]:(![X420]:(![X421]:(![X422]:(![X423]:(![X424]:(![X425]:((~eqangle(X414,X415,X416,X417,X418,X419,X420,X421)|~eqangle(X418,X419,X420,X421,X422,X423,X424,X425))|eqangle(X414,X415,X416,X417,X422,X423,X424,X425)))))))))))))),inference(variable_rename,status(thm),[c341])).
% 87.36/87.61 cnf(c343,axiom,~eqangle(X1198,X1197,X1195,X1192,X1196,X1187,X1188,X1191)|~eqangle(X1196,X1187,X1188,X1191,X1190,X1189,X1194,X1193)|eqangle(X1198,X1197,X1195,X1192,X1190,X1189,X1194,X1193),inference(split_conjunct,status(thm),[c342])).
% 87.36/87.61 fof(ruleD41,axiom,(![A]:(![B]:(![P]:(![Q]:(cyclic(A,B,P,Q)=>eqangle(P,A,P,B,Q,A,Q,B)))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c279,axiom,(![X286]:(![X287]:(![X288]:(![X289]:(~cyclic(X286,X287,X288,X289)|eqangle(X288,X286,X288,X287,X289,X286,X289,X287)))))),inference(variable_rename,status(thm),[c278])).
% 87.36/87.61 cnf(c280,axiom,~cyclic(X1067,X1066,X1065,X1068)|eqangle(X1065,X1067,X1065,X1066,X1068,X1067,X1068,X1066),inference(split_conjunct,status(thm),[c279])).
% 87.36/87.61 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 87.36/87.61 fof(c365,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 87.36/87.61 fof(c366,axiom,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X472,X474,X473)))))),inference(variable_rename,status(thm),[c365])).
% 87.36/87.61 cnf(c367,axiom,~cyclic(X672,X673,X670,X671)|cyclic(X672,X673,X671,X670),inference(split_conjunct,status(thm),[c366])).
% 87.36/87.61 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 87.36/87.61 fof(c362,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 87.36/87.61 fof(c363,axiom,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,status(thm),[c362])).
% 87.36/87.61 cnf(c364,axiom,~cyclic(X669,X668,X666,X667)|cyclic(X669,X666,X668,X667),inference(split_conjunct,status(thm),[c363])).
% 87.36/87.61 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 87.36/87.61 fof(c406,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 87.36/87.61 fof(c407,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c406])).
% 87.36/87.61 cnf(c408,axiom,~coll(X571,X572,X573)|coll(X571,X573,X572),inference(split_conjunct,status(thm),[c407])).
% 87.36/87.61 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 87.36/87.61 fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 87.36/87.61 fof(c404,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c403])).
% 87.36/87.61 cnf(c405,axiom,~coll(X552,X553,X554)|coll(X553,X552,X554),inference(split_conjunct,status(thm),[c404])).
% 87.36/87.61 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 87.36/87.61 fof(c189,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 87.36/87.61 fof(c190,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c189])).
% 87.36/87.61 cnf(c191,axiom,~para(X639,X641,X639,X640)|coll(X639,X641,X640),inference(split_conjunct,status(thm),[c190])).
% 87.36/87.61 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c289,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(c288,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),[c287])).])).
% 87.36/87.61 cnf(c290,axiom,~eqangle(X1079,X1076,X1080,X1075,X1078,X1077,X1080,X1075)|para(X1079,X1076,X1078,X1077),inference(split_conjunct,status(thm),[c289])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c351,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),[c350])).
% 87.36/87.61 cnf(c352,axiom,~eqangle(X1221,X1218,X1222,X1225,X1224,X1223,X1219,X1220)|eqangle(X1222,X1225,X1221,X1218,X1219,X1220,X1224,X1223),inference(split_conjunct,status(thm),[c351])).
% 87.36/87.61 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c284,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(c283,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),[c282])).])).
% 87.36/87.61 cnf(c285,axiom,~para(X1070,X1072,X1071,X1073)|eqangle(X1070,X1072,X1069,X1074,X1071,X1073,X1069,X1074),inference(split_conjunct,status(thm),[c284])).
% 87.36/87.61 cnf(c21,negated_conjecture,perp(skolem0001,skolem0003,skolem0006,skolem0007),inference(split_conjunct,status(thm),[c15])).
% 87.36/87.61 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 87.36/87.61 fof(c385,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 87.36/87.61 fof(c386,axiom,(![X499]:(![X500]:(![X501]:(![X502]:(~perp(X499,X500,X501,X502)|perp(X501,X502,X499,X500)))))),inference(variable_rename,status(thm),[c385])).
% 87.36/87.61 cnf(c387,axiom,~perp(X675,X674,X677,X676)|perp(X677,X676,X675,X674),inference(split_conjunct,status(thm),[c386])).
% 87.36/87.61 cnf(c470,plain,perp(skolem0006,skolem0007,skolem0001,skolem0003),inference(resolution,status(thm),[c387, c21])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c383,axiom,(![X493]:(![X494]:(![X495]:(![X496]:(![X497]:(![X498]:((~perp(X493,X494,X495,X496)|~perp(X495,X496,X497,X498))|para(X493,X494,X497,X498)))))))),inference(variable_rename,status(thm),[c382])).
% 87.36/87.61 cnf(c384,axiom,~perp(X1257,X1259,X1256,X1255)|~perp(X1256,X1255,X1258,X1260)|para(X1257,X1259,X1258,X1260),inference(split_conjunct,status(thm),[c383])).
% 87.36/87.61 cnf(c1511,plain,~perp(X2244,X2245,skolem0006,skolem0007)|para(X2244,X2245,skolem0001,skolem0003),inference(resolution,status(thm),[c384, c470])).
% 87.36/87.61 cnf(c3692,plain,para(skolem0001,skolem0003,skolem0001,skolem0003),inference(resolution,status(thm),[c1511, c21])).
% 87.36/87.61 cnf(c3724,plain,eqangle(skolem0001,skolem0003,X2263,X2262,skolem0001,skolem0003,X2263,X2262),inference(resolution,status(thm),[c3692, c285])).
% 87.36/87.61 cnf(c3791,plain,eqangle(X2289,X2290,skolem0001,skolem0003,X2289,X2290,skolem0001,skolem0003),inference(resolution,status(thm),[c3724, c352])).
% 87.36/87.61 cnf(c3875,plain,para(X2291,X2292,X2291,X2292),inference(resolution,status(thm),[c3791, c290])).
% 87.36/87.61 cnf(c3899,plain,coll(X2293,X2294,X2294),inference(resolution,status(thm),[c3875, c191])).
% 87.36/87.61 cnf(c3979,plain,coll(X2295,X2296,X2295),inference(resolution,status(thm),[c3899, c405])).
% 87.36/87.61 cnf(c4402,plain,coll(X2302,X2302,X2301),inference(resolution,status(thm),[c3979, c408])).
% 87.36/87.61 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c401,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c400])).
% 87.36/87.61 cnf(c402,axiom,~coll(X739,X738,X737)|~coll(X739,X738,X736)|coll(X737,X736,X739),inference(split_conjunct,status(thm),[c401])).
% 87.36/87.61 cnf(c4411,plain,~coll(X3359,X3359,X3358)|coll(X3358,X3357,X3359),inference(resolution,status(thm),[c4402, c402])).
% 87.36/87.61 cnf(c7996,plain,coll(X3362,X3364,X3363),inference(resolution,status(thm),[c4411, c4402])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c272,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),[c271])).
% 87.36/87.61 cnf(c273,axiom,~eqangle(X1060,X1058,X1060,X1059,X1057,X1058,X1057,X1059)|~coll(X1060,X1057,X1059)|cyclic(X1058,X1059,X1060,X1057),inference(split_conjunct,status(thm),[c272])).
% 87.36/87.61 cnf(c3920,plain,eqangle(X3185,X3186,X3188,X3187,X3185,X3186,X3188,X3187),inference(resolution,status(thm),[c3875, c285])).
% 87.36/87.61 cnf(c7769,plain,~coll(X3693,X3693,X3694)|cyclic(X3692,X3694,X3693,X3693),inference(resolution,status(thm),[c3920, c273])).
% 87.36/87.61 cnf(c8600,plain,cyclic(X3696,X3697,X3695,X3695),inference(resolution,status(thm),[c7769, c7996])).
% 87.36/87.61 cnf(c8601,plain,cyclic(X3700,X3698,X3699,X3698),inference(resolution,status(thm),[c8600, c364])).
% 87.36/87.61 cnf(c8615,plain,cyclic(X3713,X3715,X3715,X3714),inference(resolution,status(thm),[c8601, c367])).
% 87.36/87.61 cnf(c8626,plain,eqangle(X3768,X3769,X3768,X3768,X3770,X3769,X3770,X3768),inference(resolution,status(thm),[c8615, c280])).
% 87.36/87.61 cnf(c8687,plain,~eqangle(X50825,X50821,X50823,X50820,X50819,X50824,X50819,X50819)|eqangle(X50825,X50821,X50823,X50820,X50822,X50824,X50822,X50819),inference(resolution,status(thm),[c8626, c343])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c348,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),[c347])).
% 87.36/87.61 cnf(c349,axiom,~eqangle(X1211,X1215,X1209,X1216,X1210,X1213,X1212,X1214)|eqangle(X1210,X1213,X1212,X1214,X1211,X1215,X1209,X1216),inference(split_conjunct,status(thm),[c348])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c354,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),[c353])).
% 87.36/87.61 cnf(c355,axiom,~eqangle(X1232,X1228,X1227,X1233,X1229,X1226,X1231,X1230)|eqangle(X1228,X1232,X1227,X1233,X1229,X1226,X1231,X1230),inference(split_conjunct,status(thm),[c354])).
% 87.36/87.61 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 87.36/87.61 fof(c397,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 87.36/87.61 fof(c398,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c397])).
% 87.36/87.61 cnf(c399,axiom,~para(X721,X724,X723,X722)|para(X721,X724,X722,X723),inference(split_conjunct,status(thm),[c398])).
% 87.36/87.61 cnf(c3906,plain,para(X2307,X2308,X2308,X2307),inference(resolution,status(thm),[c3875, c399])).
% 87.36/87.61 cnf(c4574,plain,eqangle(X3472,X3471,X3474,X3473,X3471,X3472,X3474,X3473),inference(resolution,status(thm),[c3906, c285])).
% 87.36/87.61 cnf(c8244,plain,eqangle(X3524,X3525,X3526,X3527,X3524,X3525,X3527,X3526),inference(resolution,status(thm),[c4574, c352])).
% 87.36/87.61 cnf(c8303,plain,eqangle(X3568,X3566,X3567,X3565,X3566,X3568,X3565,X3567),inference(resolution,status(thm),[c8244, c355])).
% 87.36/87.61 cnf(c8398,plain,~eqangle(X42814,X42810,X42812,X42809,X42813,X42815,X42808,X42811)|eqangle(X42814,X42810,X42812,X42809,X42815,X42813,X42811,X42808),inference(resolution,status(thm),[c8303, c343])).
% 87.36/87.61 cnf(c8610,plain,eqangle(X3759,X3760,X3759,X3761,X3761,X3760,X3761,X3761),inference(resolution,status(thm),[c8601, c280])).
% 87.36/87.61 cnf(c8659,plain,~eqangle(X43399,X43395,X43396,X43394,X43398,X43397,X43398,X43393)|eqangle(X43399,X43395,X43396,X43394,X43393,X43397,X43393,X43393),inference(resolution,status(thm),[c8610, c343])).
% 87.36/87.61 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 87.36/87.61 fof(c359,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 87.36/87.61 fof(c360,axiom,(![X463]:(![X464]:(![X465]:(![X466]:(~cyclic(X463,X464,X465,X466)|cyclic(X464,X463,X465,X466)))))),inference(variable_rename,status(thm),[c359])).
% 87.36/87.61 cnf(c361,axiom,~cyclic(X663,X665,X662,X664)|cyclic(X665,X663,X662,X664),inference(split_conjunct,status(thm),[c360])).
% 87.36/87.61 cnf(c8612,plain,cyclic(X3710,X3712,X3711,X3710),inference(resolution,status(thm),[c8601, c361])).
% 87.36/87.61 cnf(c8623,plain,cyclic(X3722,X3724,X3722,X3723),inference(resolution,status(thm),[c8612, c367])).
% 87.36/87.61 fof(ruleD17,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:((cyclic(A,B,C,D)&cyclic(A,B,C,E))=>cyclic(B,C,D,E))))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c357,axiom,(![X458]:(![X459]:(![X460]:(![X461]:(![X462]:((~cyclic(X458,X459,X460,X461)|~cyclic(X458,X459,X460,X462))|cyclic(X459,X460,X461,X462))))))),inference(variable_rename,status(thm),[c356])).
% 87.36/87.61 cnf(c358,axiom,~cyclic(X1237,X1236,X1234,X1238)|~cyclic(X1237,X1236,X1234,X1235)|cyclic(X1236,X1234,X1238,X1235),inference(split_conjunct,status(thm),[c357])).
% 87.36/87.61 cnf(c8640,plain,~cyclic(X8590,X8589,X8590,X8588)|cyclic(X8589,X8590,X8588,X8587),inference(resolution,status(thm),[c8623, c358])).
% 87.36/87.61 cnf(c14412,plain,cyclic(X8611,X8610,X8609,X8612),inference(resolution,status(thm),[c8640, c8623])).
% 87.36/87.61 fof(ruleD54,axiom,(![A]:(![B]:(![C]:(![D]:((cyclic(A,B,C,D)¶(A,B,C,D))=>eqangle(A,D,C,D,C,D,C,B)))))),input).
% 87.36/87.61 fof(c230,axiom,(![A]:(![B]:(![C]:(![D]:((~cyclic(A,B,C,D)|~para(A,B,C,D))|eqangle(A,D,C,D,C,D,C,B)))))),inference(fof_nnf,status(thm),[ruleD54])).
% 87.36/87.61 fof(c231,axiom,(![X224]:(![X225]:(![X226]:(![X227]:((~cyclic(X224,X225,X226,X227)|~para(X224,X225,X226,X227))|eqangle(X224,X227,X226,X227,X226,X227,X226,X225)))))),inference(variable_rename,status(thm),[c230])).
% 87.36/87.61 cnf(c232,axiom,~cyclic(X1004,X1006,X1005,X1003)|~para(X1004,X1006,X1005,X1003)|eqangle(X1004,X1003,X1005,X1003,X1005,X1003,X1005,X1006),inference(split_conjunct,status(thm),[c231])).
% 87.36/87.61 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 87.36/87.61 fof(c198,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])).
% 87.36/87.61 fof(c199,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c198])).
% 87.36/87.61 fof(c201,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(c200,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c199])).])).
% 87.36/87.61 cnf(c202,axiom,~midp(X961,X963,X965)|~midp(X961,X962,X964)|para(X963,X962,X965,X964),inference(split_conjunct,status(thm),[c201])).
% 87.36/87.61 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 87.36/87.61 fof(c376,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 87.36/87.61 fof(c377,axiom,(![X484]:(![X485]:(![X486]:(~midp(X486,X485,X484)|midp(X486,X484,X485))))),inference(variable_rename,status(thm),[c376])).
% 87.36/87.61 cnf(c378,axiom,~midp(X551,X549,X550)|midp(X551,X550,X549),inference(split_conjunct,status(thm),[c377])).
% 87.36/87.61 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c187,axiom,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,status(thm),[c186])).
% 87.36/87.61 cnf(c188,axiom,~cong(X946,X947,X946,X945)|~coll(X946,X947,X945)|midp(X946,X947,X945),inference(split_conjunct,status(thm),[c187])).
% 87.36/87.61 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 87.36/87.61 fof(c338,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 87.36/87.61 fof(c339,axiom,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,status(thm),[c338])).
% 87.36/87.61 cnf(c340,axiom,~cong(X647,X648,X646,X649)|cong(X647,X648,X649,X646),inference(split_conjunct,status(thm),[c339])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c269,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(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(variable_rename,status(thm),[c267])).])).
% 87.36/87.61 cnf(c270,axiom,~cyclic(X1055,X1053,X1052,X1056)|~cyclic(X1055,X1053,X1052,X1054)|~cyclic(X1055,X1053,X1052,X1051)|~eqangle(X1052,X1055,X1052,X1053,X1051,X1056,X1051,X1054)|cong(X1055,X1053,X1056,X1054),inference(split_conjunct,status(thm),[c269])).
% 87.36/87.61 cnf(c8313,plain,eqangle(X3583,X3586,X3583,X3586,X3584,X3585,X3585,X3584),inference(resolution,status(thm),[c8244, c346])).
% 87.36/87.61 cnf(c8412,plain,~cyclic(X4620,X4620,X4621,X4622)|cong(X4620,X4620,X4622,X4622),inference(resolution,status(thm),[c8313, c270])).
% 87.36/87.61 cnf(c9252,plain,cong(X4625,X4625,X4625,X4625),inference(resolution,status(thm),[c8412, c8601])).
% 87.36/87.61 cnf(c9268,plain,~coll(X4646,X4646,X4646)|midp(X4646,X4646,X4646),inference(resolution,status(thm),[c9252, c188])).
% 87.36/87.61 cnf(c9292,plain,midp(X4647,X4647,X4647),inference(resolution,status(thm),[c9268, c7996])).
% 87.36/87.61 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c239,axiom,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,status(thm),[c238])).
% 87.36/87.61 cnf(c240,axiom,~perp(X1011,X1014,X1014,X1013)|~midp(X1012,X1011,X1013)|cong(X1011,X1012,X1014,X1012),inference(split_conjunct,status(thm),[c239])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c162,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(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(variable_rename,status(thm),[c160])).])).
% 87.36/87.61 cnf(c163,axiom,~eqangle(X912,X914,X918,X911,X917,X916,X913,X915)|~perp(X917,X916,X913,X915)|perp(X912,X914,X918,X911),inference(split_conjunct,status(thm),[c162])).
% 87.36/87.61 cnf(c8250,plain,eqangle(X3541,X3538,X3538,X3541,X3540,X3539,X3540,X3539),inference(resolution,status(thm),[c4574, c346])).
% 87.36/87.61 cnf(c8317,plain,~perp(X4559,X4558,X4559,X4558)|perp(X4557,X4556,X4556,X4557),inference(resolution,status(thm),[c8250, c163])).
% 87.36/87.61 cnf(c8633,plain,cyclic(X3734,X3734,X3736,X3735),inference(resolution,status(thm),[c8623, c364])).
% 87.36/87.61 cnf(c9253,plain,cong(X4627,X4627,X4626,X4626),inference(resolution,status(thm),[c8412, c8633])).
% 87.36/87.61 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).
% 87.36/87.61 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])).
% 87.36/87.61 fof(c222,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),[c221])).
% 87.36/87.61 cnf(c223,axiom,~cong(X994,X992,X991,X992)|~cong(X994,X993,X991,X993)|~cyclic(X994,X991,X992,X993)|perp(X992,X994,X994,X993),inference(split_conjunct,status(thm),[c222])).
% 87.36/87.61 cnf(c8606,plain,~cong(X4684,X4686,X4685,X4686)|perp(X4686,X4684,X4684,X4686),inference(resolution,status(thm),[c8600, c223])).
% 87.36/87.61 cnf(c9304,plain,perp(X4687,X4687,X4687,X4687),inference(resolution,status(thm),[c8606, c9253])).
% 87.36/87.61 cnf(c9309,plain,perp(X4688,X4689,X4689,X4688),inference(resolution,status(thm),[c9304, c8317])).
% 87.36/87.61 cnf(c9338,plain,~midp(X4811,X4809,X4809)|cong(X4809,X4811,X4810,X4811),inference(resolution,status(thm),[c9309, c240])).
% 87.36/87.61 cnf(c9630,plain,cong(X4813,X4813,X4812,X4813),inference(resolution,status(thm),[c9338, c9292])).
% 87.36/87.61 cnf(c9645,plain,cong(X4820,X4820,X4820,X4819),inference(resolution,status(thm),[c9630, c340])).
% 87.36/87.61 cnf(c9675,plain,~coll(X4891,X4891,X4892)|midp(X4891,X4891,X4892),inference(resolution,status(thm),[c9645, c188])).
% 87.36/87.61 cnf(c9798,plain,midp(X4893,X4893,X4894),inference(resolution,status(thm),[c9675, c7996])).
% 87.36/87.61 cnf(c9800,plain,midp(X4896,X4895,X4896),inference(resolution,status(thm),[c9798, c378])).
% 87.36/87.61 cnf(c9860,plain,~midp(X8331,X8332,X8333)|para(X8332,X8330,X8333,X8331),inference(resolution,status(thm),[c9800, c202])).
% 87.36/87.61 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 87.36/87.61 fof(c335,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 87.36/87.61 fof(c336,axiom,(![X406]:(![X407]:(![X408]:(![X409]:(~cong(X406,X407,X408,X409)|cong(X408,X409,X406,X407)))))),inference(variable_rename,status(thm),[c335])).
% 87.36/87.61 cnf(c337,axiom,~cong(X643,X645,X644,X642)|cong(X644,X642,X643,X645),inference(split_conjunct,status(thm),[c336])).
% 87.36/87.61 cnf(c9811,plain,~midp(X5923,X5922,X5920)|para(X5922,X5923,X5920,X5921),inference(resolution,status(thm),[c9798, c202])).
% 87.36/87.61 cnf(c11112,plain,para(X5928,X5929,X5929,X5927),inference(resolution,status(thm),[c9811, c9800])).
% 87.36/87.61 cnf(c11158,plain,para(X5948,X5949,X5950,X5949),inference(resolution,status(thm),[c11112, c399])).
% 87.36/87.61 fof(ruleD64,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((midp(M,A,B)¶(A,C,B,D))¶(A,D,B,C))=>midp(M,C,D))))))),input).
% 87.36/87.61 fof(c195,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:(((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))))))),inference(fof_nnf,status(thm),[ruleD64])).
% 87.36/87.61 fof(c196,axiom,(![X172]:(![X173]:(![X174]:(![X175]:(![X176]:(((~midp(X176,X172,X173)|~para(X172,X174,X173,X175))|~para(X172,X175,X173,X174))|midp(X176,X174,X175))))))),inference(variable_rename,status(thm),[c195])).
% 87.36/87.61 cnf(c197,axiom,~midp(X955,X956,X959)|~para(X956,X958,X959,X957)|~para(X956,X957,X959,X958)|midp(X955,X958,X957),inference(split_conjunct,status(thm),[c196])).
% 87.36/87.61 cnf(c3895,plain,~midp(X10966,X10965,X10965)|~para(X10965,X10967,X10965,X10967)|midp(X10966,X10967,X10967),inference(resolution,status(thm),[c3875, c197])).
% 87.36/87.61 cnf(c19744,plain,~midp(X10972,X10970,X10970)|midp(X10972,X10971,X10971),inference(resolution,status(thm),[c3895, c11158])).
% 87.36/87.61 cnf(c19749,plain,midp(X10973,X10974,X10974),inference(resolution,status(thm),[c19744, c9798])).
% 87.36/87.61 cnf(c19828,plain,cong(X10991,X10992,X10993,X10992),inference(resolution,status(thm),[c19749, c9338])).
% 87.36/87.61 cnf(c19890,plain,cong(X11008,X11009,X11009,X11007),inference(resolution,status(thm),[c19828, c340])).
% 87.36/87.61 cnf(c19909,plain,cong(X11020,X11022,X11021,X11020),inference(resolution,status(thm),[c19890, c337])).
% 87.36/87.61 cnf(c19935,plain,cong(X11030,X11031,X11030,X11029),inference(resolution,status(thm),[c19909, c340])).
% 87.36/87.61 cnf(c19944,plain,~coll(X11086,X11084,X11085)|midp(X11086,X11084,X11085),inference(resolution,status(thm),[c19935, c188])).
% 87.36/87.61 cnf(c19979,plain,midp(X11093,X11091,X11092),inference(resolution,status(thm),[c19944, c7996])).
% 87.36/87.61 cnf(c19983,plain,para(X11097,X11095,X11094,X11096),inference(resolution,status(thm),[c19979, c9860])).
% 87.36/87.61 cnf(c20014,plain,~cyclic(X35601,X35603,X35600,X35602)|eqangle(X35601,X35602,X35600,X35602,X35600,X35602,X35600,X35603),inference(resolution,status(thm),[c19983, c232])).
% 87.36/87.61 cnf(c27213,plain,eqangle(X35604,X35607,X35605,X35607,X35605,X35607,X35605,X35606),inference(resolution,status(thm),[c20014, c14412])).
% 87.36/87.61 cnf(c27215,plain,eqangle(X35614,X35611,X35612,X35614,X35612,X35614,X35612,X35613),inference(resolution,status(thm),[c27213, c355])).
% 87.36/87.61 cnf(c27225,plain,eqangle(X35634,X35637,X35637,X35635,X35634,X35636,X35634,X35637),inference(resolution,status(thm),[c27215, c352])).
% 87.36/87.61 cnf(c27251,plain,eqangle(X35686,X35684,X35686,X35685,X35684,X35687,X35684,X35686),inference(resolution,status(thm),[c27225, c355])).
% 87.36/87.61 cnf(c27297,plain,eqangle(X35781,X35780,X35781,X35783,X35783,X35781,X35783,X35782),inference(resolution,status(thm),[c27251, c352])).
% 87.36/87.61 cnf(c27818,plain,eqangle(X43418,X43417,X43418,X43419,X43416,X43418,X43416,X43416),inference(resolution,status(thm),[c8659, c27297])).
% 87.36/87.61 cnf(c27922,plain,eqangle(X43878,X43880,X43878,X43878,X43880,X43879,X43880,X43877),inference(resolution,status(thm),[c27818, c349])).
% 87.36/87.61 cnf(c28040,plain,eqangle(X44344,X44343,X44344,X44344,X44346,X44345,X44346,X44346),inference(resolution,status(thm),[c27922, c8659])).
% 87.36/87.61 cnf(c29827,plain,eqangle(X51427,X51431,X51427,X51427,X51430,X51428,X51430,X51429),inference(resolution,status(thm),[c8687, c28040])).
% 87.36/87.61 cnf(c29984,plain,eqangle(X52152,X52154,X52152,X52152,X52151,X52153,X52150,X52153),inference(resolution,status(thm),[c29827, c8398])).
% 87.36/87.61 cnf(c30503,plain,eqangle(X54427,X54431,X54430,X54431,X54428,X54429,X54428,X54428),inference(resolution,status(thm),[c29984, c349])).
% 87.36/87.61 cnf(c31229,plain,eqangle(X57692,X57690,X57689,X57690,X57694,X57691,X57694,X57693),inference(resolution,status(thm),[c30503, c8687])).
% 87.36/87.61 cnf(c31768,plain,eqangle(X60149,X60145,X60148,X60146,X60144,X60145,X60148,X60147),inference(resolution,status(thm),[c31229, c346])).
% 87.36/87.61 cnf(c32338,plain,$false,inference(resolution,status(thm),[c31768, c23])).
% 87.36/87.61 # SZS output end CNFRefutation
% 87.36/87.61
% 87.36/87.61 # Initial clauses : 135
% 87.36/87.61 # Processed clauses : 3569
% 87.36/87.61 # Factors computed : 0
% 87.36/87.61 # Resolvents computed: 31939
% 87.36/87.61 # Tautologies deleted: 25
% 87.36/87.61 # Forward subsumed : 22585
% 87.36/87.61 # Backward subsumed : 3403
% 87.36/87.61 # -------- CPU Time ---------
% 87.36/87.61 # User time : 87.210 s
% 87.36/87.61 # System time : 0.046 s
% 87.36/87.61 # Total time : 87.256 s
%------------------------------------------------------------------------------