TSTP Solution File: GEO582+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 06:01:02 EDT 2022
% Result : Theorem 26.01s 26.18s
% Output : Refutation 26.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 03:20:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 26.01/26.18 # Version: 1.3
% 26.01/26.18 # SZS status Theorem
% 26.01/26.18 # SZS output start CNFRefutation
% 26.01/26.18 fof(exemplo6GDDFULL416044,conjecture,(![A]:(![B]:(![C]:(![O]:(![D]:(![A1]:(![C1]:(![NWPNT1]:((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,A,A1))&coll(A1,C,D))&perp(C,D,C,C1))&coll(C1,A,B))=>para(D,B,A1,C1)))))))))),input).
% 26.01/26.18 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![D]:(![A1]:(![C1]:(![NWPNT1]:((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,A,A1))&coll(A1,C,D))&perp(C,D,C,C1))&coll(C1,A,B))=>para(D,B,A1,C1))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL416044])).
% 26.01/26.18 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[A1]:(?[C1]:(?[NWPNT1]:((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,A,A1))&coll(A1,C,D))&perp(C,D,C,C1))&coll(C1,A,B))&~para(D,B,A1,C1)))))))))),inference(fof_nnf,status(thm),[c11])).
% 26.01/26.18 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[A1]:(?[C1]:((((((circle(O,A,B,C)&(?[NWPNT1]:circle(O,A,D,NWPNT1)))&perp(A,B,A,A1))&coll(A1,C,D))&perp(C,D,C,C1))&coll(C1,A,B))&~para(D,B,A1,C1))))))))),inference(shift_quantors,status(thm),[c12])).
% 26.01/26.18 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:((((((circle(X5,X2,X3,X4)&(?[X9]:circle(X5,X2,X6,X9)))&perp(X2,X3,X2,X7))&coll(X7,X4,X6))&perp(X4,X6,X4,X8))&coll(X8,X2,X3))&~para(X6,X3,X7,X8))))))))),inference(variable_rename,status(thm),[c13])).
% 26.01/26.18 fof(c15,negated_conjecture,((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&circle(skolem0004,skolem0001,skolem0005,skolem0008))&perp(skolem0001,skolem0002,skolem0001,skolem0006))&coll(skolem0006,skolem0003,skolem0005))&perp(skolem0003,skolem0005,skolem0003,skolem0007))&coll(skolem0007,skolem0001,skolem0002))&~para(skolem0005,skolem0002,skolem0006,skolem0007)),inference(skolemize,status(esa),[c14])).
% 26.01/26.18 cnf(c22,negated_conjecture,~para(skolem0005,skolem0002,skolem0006,skolem0007),inference(split_conjunct,status(thm),[c15])).
% 26.01/26.18 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 26.01/26.18 fof(c197,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))))))),inference(fof_nnf,status(thm),[ruleD63])).
% 26.01/26.18 fof(c198,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c197])).
% 26.01/26.18 fof(c200,axiom,(![X177]:(![X178]:(![X179]:(![X180]:(![X181]:((~midp(X181,X177,X178)|~midp(X181,X179,X180))|para(X177,X179,X178,X180))))))),inference(shift_quantors,status(thm),[fof(c199,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c198])).])).
% 26.01/26.18 cnf(c201,axiom,~midp(X979,X976,X978)|~midp(X979,X977,X980)|para(X976,X977,X978,X980),inference(split_conjunct,status(thm),[c200])).
% 26.01/26.18 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 26.01/26.18 fof(c375,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 26.01/26.18 fof(c376,axiom,(![X484]:(![X485]:(![X486]:(~midp(X486,X485,X484)|midp(X486,X484,X485))))),inference(variable_rename,status(thm),[c375])).
% 26.01/26.18 cnf(c377,axiom,~midp(X550,X551,X549)|midp(X550,X549,X551),inference(split_conjunct,status(thm),[c376])).
% 26.01/26.18 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 26.01/26.18 fof(c405,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 26.01/26.18 fof(c406,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c405])).
% 26.01/26.18 cnf(c407,axiom,~coll(X563,X565,X564)|coll(X563,X564,X565),inference(split_conjunct,status(thm),[c406])).
% 26.01/26.18 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 26.01/26.18 fof(c402,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 26.01/26.18 fof(c403,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c402])).
% 26.01/26.18 cnf(c404,axiom,~coll(X553,X554,X552)|coll(X554,X553,X552),inference(split_conjunct,status(thm),[c403])).
% 26.01/26.18 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 26.01/26.18 fof(c188,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 26.01/26.18 fof(c189,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c188])).
% 26.01/26.18 cnf(c190,axiom,~para(X609,X608,X609,X607)|coll(X609,X608,X607),inference(split_conjunct,status(thm),[c189])).
% 26.01/26.18 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 26.01/26.18 fof(c285,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D)))))))),inference(fof_nnf,status(thm),[ruleD39])).
% 26.01/26.18 fof(c286,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:~eqangle(A,B,P,Q,C,D,P,Q)))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c285])).
% 26.01/26.18 fof(c288,axiom,(![X296]:(![X297]:(![X298]:(![X299]:(![X300]:(![X301]:(~eqangle(X296,X297,X300,X301,X298,X299,X300,X301)|para(X296,X297,X298,X299)))))))),inference(shift_quantors,status(thm),[fof(c287,axiom,(![X296]:(![X297]:(![X298]:(![X299]:((![X300]:(![X301]:~eqangle(X296,X297,X300,X301,X298,X299,X300,X301)))|para(X296,X297,X298,X299)))))),inference(variable_rename,status(thm),[c286])).])).
% 26.01/26.18 cnf(c289,axiom,~eqangle(X1108,X1109,X1107,X1111,X1106,X1110,X1107,X1111)|para(X1108,X1109,X1106,X1110),inference(split_conjunct,status(thm),[c288])).
% 26.01/26.18 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).
% 26.01/26.18 fof(c349,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q)))))))))),inference(fof_nnf,status(thm),[ruleD19])).
% 26.01/26.18 fof(c350,axiom,(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(~eqangle(X442,X443,X444,X445,X446,X447,X448,X449)|eqangle(X444,X445,X442,X443,X448,X449,X446,X447)))))))))),inference(variable_rename,status(thm),[c349])).
% 26.01/26.18 cnf(c351,axiom,~eqangle(X1309,X1314,X1308,X1313,X1310,X1311,X1307,X1312)|eqangle(X1308,X1313,X1309,X1314,X1307,X1312,X1310,X1311),inference(split_conjunct,status(thm),[c350])).
% 26.01/26.18 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 26.01/26.18 fof(c280,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD40])).
% 26.01/26.18 fof(c281,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|(![P]:(![Q]:eqangle(A,B,P,Q,C,D,P,Q)))))))),inference(shift_quantors,status(thm),[c280])).
% 26.01/26.18 fof(c283,axiom,(![X290]:(![X291]:(![X292]:(![X293]:(![X294]:(![X295]:(~para(X290,X291,X292,X293)|eqangle(X290,X291,X294,X295,X292,X293,X294,X295)))))))),inference(shift_quantors,status(thm),[fof(c282,axiom,(![X290]:(![X291]:(![X292]:(![X293]:(~para(X290,X291,X292,X293)|(![X294]:(![X295]:eqangle(X290,X291,X294,X295,X292,X293,X294,X295)))))))),inference(variable_rename,status(thm),[c281])).])).
% 26.01/26.18 cnf(c284,axiom,~para(X1099,X1097,X1095,X1096)|eqangle(X1099,X1097,X1094,X1098,X1095,X1096,X1094,X1098),inference(split_conjunct,status(thm),[c283])).
% 26.01/26.18 cnf(c20,negated_conjecture,perp(skolem0003,skolem0005,skolem0003,skolem0007),inference(split_conjunct,status(thm),[c15])).
% 26.01/26.18 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 26.01/26.18 fof(c384,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 26.01/26.18 fof(c385,axiom,(![X499]:(![X500]:(![X501]:(![X502]:(~perp(X499,X500,X501,X502)|perp(X501,X502,X499,X500)))))),inference(variable_rename,status(thm),[c384])).
% 26.01/26.18 cnf(c386,axiom,~perp(X647,X648,X646,X649)|perp(X646,X649,X647,X648),inference(split_conjunct,status(thm),[c385])).
% 26.01/26.18 cnf(c451,plain,perp(skolem0003,skolem0007,skolem0003,skolem0005),inference(resolution,status(thm),[c386, c20])).
% 26.01/26.18 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).
% 26.01/26.18 fof(c381,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])).
% 26.01/26.18 fof(c382,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),[c381])).
% 26.01/26.19 cnf(c383,axiom,~perp(X1241,X1239,X1240,X1242)|~perp(X1240,X1242,X1244,X1243)|para(X1241,X1239,X1244,X1243),inference(split_conjunct,status(thm),[c382])).
% 26.01/26.19 cnf(c1034,plain,~perp(X1245,X1246,skolem0003,skolem0005)|para(X1245,X1246,skolem0003,skolem0007),inference(resolution,status(thm),[c383, c20])).
% 26.01/26.19 cnf(c1050,plain,para(skolem0003,skolem0007,skolem0003,skolem0007),inference(resolution,status(thm),[c1034, c451])).
% 26.01/26.19 cnf(c1054,plain,eqangle(skolem0003,skolem0007,X1427,X1426,skolem0003,skolem0007,X1427,X1426),inference(resolution,status(thm),[c1050, c284])).
% 26.01/26.19 cnf(c1486,plain,eqangle(X1690,X1689,skolem0003,skolem0007,X1690,X1689,skolem0003,skolem0007),inference(resolution,status(thm),[c1054, c351])).
% 26.01/26.19 cnf(c2973,plain,para(X1692,X1691,X1692,X1691),inference(resolution,status(thm),[c1486, c289])).
% 26.01/26.19 cnf(c3009,plain,coll(X1693,X1694,X1694),inference(resolution,status(thm),[c2973, c190])).
% 26.01/26.19 cnf(c3087,plain,coll(X1697,X1698,X1697),inference(resolution,status(thm),[c3009, c404])).
% 26.01/26.19 cnf(c3130,plain,coll(X1704,X1704,X1703),inference(resolution,status(thm),[c3087, c407])).
% 26.01/26.19 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 26.01/26.19 fof(c399,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 26.01/26.19 fof(c400,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c399])).
% 26.01/26.19 cnf(c401,axiom,~coll(X727,X729,X726)|~coll(X727,X729,X728)|coll(X726,X728,X727),inference(split_conjunct,status(thm),[c400])).
% 26.01/26.19 cnf(c3231,plain,~coll(X2267,X2267,X2266)|coll(X2266,X2268,X2267),inference(resolution,status(thm),[c3130, c401])).
% 26.01/26.19 cnf(c4880,plain,coll(X2276,X2277,X2278),inference(resolution,status(thm),[c3231, c3130])).
% 26.01/26.19 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 26.01/26.19 fof(c185,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 26.01/26.19 fof(c186,axiom,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,status(thm),[c185])).
% 26.01/26.19 cnf(c187,axiom,~cong(X960,X959,X960,X961)|~coll(X960,X959,X961)|midp(X960,X959,X961),inference(split_conjunct,status(thm),[c186])).
% 26.01/26.19 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 26.01/26.19 fof(c337,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 26.01/26.19 fof(c338,axiom,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,status(thm),[c337])).
% 26.01/26.19 cnf(c339,axiom,~cong(X614,X616,X617,X615)|cong(X614,X616,X615,X617),inference(split_conjunct,status(thm),[c338])).
% 26.01/26.19 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 26.01/26.19 fof(c361,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 26.01/26.19 fof(c362,axiom,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,status(thm),[c361])).
% 26.01/26.19 cnf(c363,axiom,~cyclic(X623,X625,X624,X622)|cyclic(X623,X624,X625,X622),inference(split_conjunct,status(thm),[c362])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c270,axiom,(![A]:(![B]:(![P]:(![Q]:((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q)))))),inference(fof_nnf,status(thm),[ruleD42b])).
% 26.01/26.19 fof(c271,axiom,(![X278]:(![X279]:(![X280]:(![X281]:((~eqangle(X280,X278,X280,X279,X281,X278,X281,X279)|~coll(X280,X281,X279))|cyclic(X278,X279,X280,X281)))))),inference(variable_rename,status(thm),[c270])).
% 26.01/26.19 cnf(c272,axiom,~eqangle(X1139,X1136,X1139,X1138,X1137,X1136,X1137,X1138)|~coll(X1139,X1137,X1138)|cyclic(X1136,X1138,X1139,X1137),inference(split_conjunct,status(thm),[c271])).
% 26.01/26.19 cnf(c2991,plain,eqangle(X2130,X2128,X2131,X2129,X2130,X2128,X2131,X2129),inference(resolution,status(thm),[c2973, c284])).
% 26.01/26.19 cnf(c4666,plain,~coll(X2611,X2611,X2610)|cyclic(X2609,X2610,X2611,X2611),inference(resolution,status(thm),[c2991, c272])).
% 26.01/26.19 cnf(c5330,plain,cyclic(X2612,X2614,X2613,X2613),inference(resolution,status(thm),[c4666, c4880])).
% 26.01/26.19 cnf(c5332,plain,cyclic(X2616,X2617,X2615,X2617),inference(resolution,status(thm),[c5330, c363])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c265,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q)))))))),inference(fof_nnf,status(thm),[ruleD43])).
% 26.01/26.19 fof(c266,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:((![R]:(((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))))))),inference(shift_quantors,status(thm),[c265])).
% 26.01/26.19 fof(c268,axiom,(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:(![X277]:((((~cyclic(X272,X273,X274,X275)|~cyclic(X272,X273,X274,X276))|~cyclic(X272,X273,X274,X277))|~eqangle(X274,X272,X274,X273,X277,X275,X277,X276))|cong(X272,X273,X275,X276)))))))),inference(shift_quantors,status(thm),[fof(c267,axiom,(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:((![X277]:(((~cyclic(X272,X273,X274,X275)|~cyclic(X272,X273,X274,X276))|~cyclic(X272,X273,X274,X277))|~eqangle(X274,X272,X274,X273,X277,X275,X277,X276)))|cong(X272,X273,X275,X276))))))),inference(variable_rename,status(thm),[c266])).])).
% 26.01/26.19 cnf(c269,axiom,~cyclic(X1102,X1104,X1101,X1103)|~cyclic(X1102,X1104,X1101,X1100)|~cyclic(X1102,X1104,X1101,X1105)|~eqangle(X1101,X1102,X1101,X1104,X1105,X1103,X1105,X1100)|cong(X1102,X1104,X1103,X1100),inference(split_conjunct,status(thm),[c268])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c346,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD20])).
% 26.01/26.19 fof(c347,axiom,(![X434]:(![X435]:(![X436]:(![X437]:(![X438]:(![X439]:(![X440]:(![X441]:(~eqangle(X434,X435,X436,X437,X438,X439,X440,X441)|eqangle(X438,X439,X440,X441,X434,X435,X436,X437)))))))))),inference(variable_rename,status(thm),[c346])).
% 26.01/26.19 cnf(c348,axiom,~eqangle(X1305,X1302,X1304,X1306,X1299,X1300,X1303,X1301)|eqangle(X1299,X1300,X1303,X1301,X1305,X1302,X1304,X1306),inference(split_conjunct,status(thm),[c347])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c343,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V)))))))))),inference(fof_nnf,status(thm),[ruleD21])).
% 26.01/26.19 fof(c344,axiom,(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(![X433]:(~eqangle(X426,X427,X428,X429,X430,X431,X432,X433)|eqangle(X426,X427,X430,X431,X428,X429,X432,X433)))))))))),inference(variable_rename,status(thm),[c343])).
% 26.01/26.19 cnf(c345,axiom,~eqangle(X1296,X1292,X1298,X1291,X1293,X1297,X1295,X1294)|eqangle(X1296,X1292,X1293,X1297,X1298,X1291,X1295,X1294),inference(split_conjunct,status(thm),[c344])).
% 26.01/26.19 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 26.01/26.19 fof(c396,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 26.01/26.19 fof(c397,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c396])).
% 26.01/26.19 cnf(c398,axiom,~para(X718,X719,X716,X717)|para(X718,X719,X717,X716),inference(split_conjunct,status(thm),[c397])).
% 26.01/26.19 cnf(c3007,plain,para(X1712,X1711,X1711,X1712),inference(resolution,status(thm),[c2973, c398])).
% 26.01/26.19 cnf(c3273,plain,eqangle(X2355,X2357,X2358,X2356,X2357,X2355,X2358,X2356),inference(resolution,status(thm),[c3007, c284])).
% 26.01/26.19 cnf(c4964,plain,eqangle(X2420,X2417,X2417,X2420,X2419,X2418,X2419,X2418),inference(resolution,status(thm),[c3273, c345])).
% 26.01/26.19 cnf(c5035,plain,eqangle(X2472,X2473,X2472,X2473,X2475,X2474,X2474,X2475),inference(resolution,status(thm),[c4964, c348])).
% 26.01/26.19 cnf(c5096,plain,~cyclic(X3454,X3454,X3455,X3453)|cong(X3454,X3454,X3453,X3453),inference(resolution,status(thm),[c5035, c269])).
% 26.01/26.19 cnf(c5903,plain,cong(X3460,X3460,X3460,X3460),inference(resolution,status(thm),[c5096, c5332])).
% 26.01/26.19 cnf(c5920,plain,~coll(X3482,X3482,X3482)|midp(X3482,X3482,X3482),inference(resolution,status(thm),[c5903, c187])).
% 26.01/26.19 cnf(c5956,plain,midp(X3483,X3483,X3483),inference(resolution,status(thm),[c5920, c4880])).
% 26.01/26.19 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 26.01/26.19 fof(c237,axiom,(![A]:(![B]:(![C]:(![M]:((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M)))))),inference(fof_nnf,status(thm),[ruleD52])).
% 26.01/26.19 fof(c238,axiom,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,status(thm),[c237])).
% 26.01/26.19 cnf(c239,axiom,~perp(X1039,X1040,X1040,X1037)|~midp(X1038,X1039,X1037)|cong(X1039,X1038,X1040,X1038),inference(split_conjunct,status(thm),[c238])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c158,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD74])).
% 26.01/26.19 fof(c159,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))))))|perp(A,B,C,D)))))),inference(shift_quantors,status(thm),[c158])).
% 26.01/26.19 fof(c161,axiom,(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:(![X132]:((~eqangle(X125,X126,X127,X128,X129,X130,X131,X132)|~perp(X129,X130,X131,X132))|perp(X125,X126,X127,X128)))))))))),inference(shift_quantors,status(thm),[fof(c160,axiom,(![X125]:(![X126]:(![X127]:(![X128]:((![X129]:(![X130]:(![X131]:(![X132]:(~eqangle(X125,X126,X127,X128,X129,X130,X131,X132)|~perp(X129,X130,X131,X132))))))|perp(X125,X126,X127,X128)))))),inference(variable_rename,status(thm),[c159])).])).
% 26.01/26.19 cnf(c162,axiom,~eqangle(X926,X931,X929,X924,X925,X930,X928,X927)|~perp(X925,X930,X928,X927)|perp(X926,X931,X929,X924),inference(split_conjunct,status(thm),[c161])).
% 26.01/26.19 cnf(c5025,plain,~perp(X3418,X3416,X3418,X3416)|perp(X3417,X3419,X3419,X3417),inference(resolution,status(thm),[c4964, c162])).
% 26.01/26.19 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 26.01/26.19 fof(c358,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 26.01/26.19 fof(c359,axiom,(![X463]:(![X464]:(![X465]:(![X466]:(~cyclic(X463,X464,X465,X466)|cyclic(X464,X463,X465,X466)))))),inference(variable_rename,status(thm),[c358])).
% 26.01/26.19 cnf(c360,axiom,~cyclic(X620,X618,X621,X619)|cyclic(X618,X620,X621,X619),inference(split_conjunct,status(thm),[c359])).
% 26.01/26.19 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 26.01/26.19 fof(c364,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 26.01/26.19 fof(c365,axiom,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X472,X474,X473)))))),inference(variable_rename,status(thm),[c364])).
% 26.01/26.19 cnf(c366,axiom,~cyclic(X645,X642,X643,X644)|cyclic(X645,X642,X644,X643),inference(split_conjunct,status(thm),[c365])).
% 26.01/26.19 cnf(c5343,plain,cyclic(X2631,X2632,X2632,X2630),inference(resolution,status(thm),[c5332, c366])).
% 26.01/26.19 cnf(c5352,plain,cyclic(X2646,X2647,X2646,X2648),inference(resolution,status(thm),[c5343, c360])).
% 26.01/26.19 cnf(c5904,plain,cong(X3461,X3461,X3462,X3462),inference(resolution,status(thm),[c5096, c5352])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c220,axiom,(![A]:(![B]:(![P]:(![Q]:(((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q)))))),inference(fof_nnf,status(thm),[ruleD57])).
% 26.01/26.19 fof(c221,axiom,(![X212]:(![X213]:(![X214]:(![X215]:(((~cong(X212,X214,X213,X214)|~cong(X212,X215,X213,X215))|~cyclic(X212,X213,X214,X215))|perp(X214,X212,X212,X215)))))),inference(variable_rename,status(thm),[c220])).
% 26.01/26.19 cnf(c222,axiom,~cong(X1013,X1014,X1012,X1014)|~cong(X1013,X1011,X1012,X1011)|~cyclic(X1013,X1012,X1014,X1011)|perp(X1014,X1013,X1013,X1011),inference(split_conjunct,status(thm),[c221])).
% 26.01/26.19 cnf(c5333,plain,~cong(X3576,X3577,X3575,X3577)|perp(X3577,X3576,X3576,X3577),inference(resolution,status(thm),[c5330, c222])).
% 26.01/26.19 cnf(c6018,plain,perp(X3580,X3580,X3580,X3580),inference(resolution,status(thm),[c5333, c5904])).
% 26.01/26.19 cnf(c6029,plain,perp(X3585,X3584,X3584,X3585),inference(resolution,status(thm),[c6018, c5025])).
% 26.01/26.19 cnf(c6113,plain,~midp(X3728,X3730,X3730)|cong(X3730,X3728,X3729,X3728),inference(resolution,status(thm),[c6029, c239])).
% 26.01/26.19 cnf(c6361,plain,cong(X3732,X3732,X3731,X3732),inference(resolution,status(thm),[c6113, c5956])).
% 26.01/26.19 cnf(c6384,plain,cong(X3736,X3736,X3736,X3735),inference(resolution,status(thm),[c6361, c339])).
% 26.01/26.19 cnf(c6418,plain,~coll(X3814,X3814,X3813)|midp(X3814,X3814,X3813),inference(resolution,status(thm),[c6384, c187])).
% 26.01/26.19 cnf(c6553,plain,midp(X3815,X3815,X3816),inference(resolution,status(thm),[c6418, c4880])).
% 26.01/26.19 cnf(c6570,plain,midp(X3817,X3818,X3817),inference(resolution,status(thm),[c6553, c377])).
% 26.01/26.19 cnf(c6578,plain,~midp(X6668,X6667,X6666)|para(X6667,X6665,X6666,X6668),inference(resolution,status(thm),[c6570, c201])).
% 26.01/26.19 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 26.01/26.19 fof(c334,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 26.01/26.19 fof(c335,axiom,(![X406]:(![X407]:(![X408]:(![X409]:(~cong(X406,X407,X408,X409)|cong(X408,X409,X406,X407)))))),inference(variable_rename,status(thm),[c334])).
% 26.01/26.19 cnf(c336,axiom,~cong(X613,X612,X611,X610)|cong(X611,X610,X613,X612),inference(split_conjunct,status(thm),[c335])).
% 26.01/26.19 cnf(c6558,plain,~midp(X4822,X4824,X4823)|para(X4824,X4822,X4823,X4825),inference(resolution,status(thm),[c6553, c201])).
% 26.01/26.19 cnf(c7889,plain,para(X4827,X4828,X4828,X4826),inference(resolution,status(thm),[c6558, c6570])).
% 26.01/26.19 cnf(c7910,plain,para(X4840,X4841,X4839,X4841),inference(resolution,status(thm),[c7889, c398])).
% 26.01/26.19 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).
% 26.01/26.19 fof(c194,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])).
% 26.01/26.19 fof(c195,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),[c194])).
% 26.01/26.19 cnf(c196,axiom,~midp(X972,X971,X969)|~para(X971,X970,X969,X973)|~para(X971,X973,X969,X970)|midp(X972,X970,X973),inference(split_conjunct,status(thm),[c195])).
% 26.01/26.19 cnf(c3008,plain,~midp(X9776,X9775,X9775)|~para(X9775,X9774,X9775,X9774)|midp(X9776,X9774,X9774),inference(resolution,status(thm),[c2973, c196])).
% 26.01/26.19 cnf(c17823,plain,~midp(X9846,X9845,X9845)|midp(X9846,X9847,X9847),inference(resolution,status(thm),[c3008, c7910])).
% 26.01/26.19 cnf(c17876,plain,midp(X9849,X9848,X9848),inference(resolution,status(thm),[c17823, c6570])).
% 26.01/26.19 cnf(c17881,plain,cong(X9854,X9855,X9856,X9855),inference(resolution,status(thm),[c17876, c6113])).
% 26.01/26.19 cnf(c17926,plain,cong(X9877,X9878,X9878,X9876),inference(resolution,status(thm),[c17881, c339])).
% 26.01/26.19 cnf(c17932,plain,cong(X9879,X9881,X9880,X9879),inference(resolution,status(thm),[c17926, c336])).
% 26.01/26.19 cnf(c17981,plain,cong(X9889,X9890,X9889,X9888),inference(resolution,status(thm),[c17932, c339])).
% 26.01/26.19 cnf(c17988,plain,~coll(X9932,X9931,X9930)|midp(X9932,X9931,X9930),inference(resolution,status(thm),[c17981, c187])).
% 26.01/26.19 cnf(c18057,plain,midp(X9933,X9934,X9935),inference(resolution,status(thm),[c17988, c4880])).
% 26.01/26.19 cnf(c18061,plain,para(X9939,X9937,X9936,X9938),inference(resolution,status(thm),[c18057, c6578])).
% 26.01/26.19 cnf(c18089,plain,$false,inference(resolution,status(thm),[c18061, c22])).
% 26.01/26.19 # SZS output end CNFRefutation
% 26.01/26.19
% 26.01/26.19 # Initial clauses : 134
% 26.01/26.19 # Processed clauses : 1948
% 26.01/26.19 # Factors computed : 0
% 26.01/26.19 # Resolvents computed: 17683
% 26.01/26.19 # Tautologies deleted: 21
% 26.01/26.19 # Forward subsumed : 6543
% 26.01/26.19 # Backward subsumed : 1499
% 26.01/26.19 # -------- CPU Time ---------
% 26.01/26.19 # User time : 25.814 s
% 26.01/26.19 # System time : 0.036 s
% 26.01/26.19 # Total time : 25.850 s
%------------------------------------------------------------------------------