TSTP Solution File: GEO590+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 06:01:04 EDT 2022
% Result : Theorem 60.90s 61.17s
% Output : Refutation 60.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.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 16:52:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 60.90/61.17 # Version: 1.3
% 60.90/61.17 # SZS status Theorem
% 60.90/61.17 # SZS output start CNFRefutation
% 60.90/61.17 fof(exemplo6GDDFULL416052,conjecture,(![C]:(![D]:(![E]:(![O]:(![A]:(![F]:((((((perp(E,C,E,D)&midp(O,D,C))&perp(C,D,C,A))&perp(E,O,E,A))&coll(F,C,A))&coll(F,D,E))=>cong(A,E,A,F)))))))),input).
% 60.90/61.17 fof(c11,negated_conjecture,(~(![C]:(![D]:(![E]:(![O]:(![A]:(![F]:((((((perp(E,C,E,D)&midp(O,D,C))&perp(C,D,C,A))&perp(E,O,E,A))&coll(F,C,A))&coll(F,D,E))=>cong(A,E,A,F))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL416052])).
% 60.90/61.17 fof(c12,negated_conjecture,(?[C]:(?[D]:(?[E]:(?[O]:(?[A]:(?[F]:((((((perp(E,C,E,D)&midp(O,D,C))&perp(C,D,C,A))&perp(E,O,E,A))&coll(F,C,A))&coll(F,D,E))&~cong(A,E,A,F)))))))),inference(fof_nnf,status(thm),[c11])).
% 60.90/61.17 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:((((((perp(X4,X2,X4,X3)&midp(X5,X3,X2))&perp(X2,X3,X2,X6))&perp(X4,X5,X4,X6))&coll(X7,X2,X6))&coll(X7,X3,X4))&~cong(X6,X4,X6,X7)))))))),inference(variable_rename,status(thm),[c12])).
% 60.90/61.17 fof(c14,negated_conjecture,((((((perp(skolem0003,skolem0001,skolem0003,skolem0002)&midp(skolem0004,skolem0002,skolem0001))&perp(skolem0001,skolem0002,skolem0001,skolem0005))&perp(skolem0003,skolem0004,skolem0003,skolem0005))&coll(skolem0006,skolem0001,skolem0005))&coll(skolem0006,skolem0002,skolem0003))&~cong(skolem0005,skolem0003,skolem0005,skolem0006)),inference(skolemize,status(esa),[c13])).
% 60.90/61.17 cnf(c21,negated_conjecture,~cong(skolem0005,skolem0003,skolem0005,skolem0006),inference(split_conjunct,status(thm),[c14])).
% 60.90/61.17 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 60.90/61.17 fof(c336,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 60.90/61.17 fof(c337,axiom,(![X408]:(![X409]:(![X410]:(![X411]:(~cong(X408,X409,X410,X411)|cong(X408,X409,X411,X410)))))),inference(variable_rename,status(thm),[c336])).
% 60.90/61.17 cnf(c338,axiom,~cong(X670,X671,X669,X668)|cong(X670,X671,X668,X669),inference(split_conjunct,status(thm),[c337])).
% 60.90/61.17 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 60.90/61.17 fof(c333,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 60.90/61.17 fof(c334,axiom,(![X404]:(![X405]:(![X406]:(![X407]:(~cong(X404,X405,X406,X407)|cong(X406,X407,X404,X405)))))),inference(variable_rename,status(thm),[c333])).
% 60.90/61.17 cnf(c335,axiom,~cong(X653,X655,X654,X652)|cong(X654,X652,X653,X655),inference(split_conjunct,status(thm),[c334])).
% 60.90/61.17 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 60.90/61.17 fof(c236,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])).
% 60.90/61.17 fof(c237,axiom,(![X230]:(![X231]:(![X232]:(![X233]:((~perp(X230,X231,X231,X232)|~midp(X233,X230,X232))|cong(X230,X233,X231,X233)))))),inference(variable_rename,status(thm),[c236])).
% 60.90/61.17 cnf(c238,axiom,~perp(X1011,X1010,X1010,X1009)|~midp(X1012,X1011,X1009)|cong(X1011,X1012,X1010,X1012),inference(split_conjunct,status(thm),[c237])).
% 60.90/61.17 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).
% 60.90/61.17 fof(c157,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])).
% 60.90/61.17 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(shift_quantors,status(thm),[c157])).
% 60.90/61.17 fof(c160,axiom,(![X123]:(![X124]:(![X125]:(![X126]:(![X127]:(![X128]:(![X129]:(![X130]:((~eqangle(X123,X124,X125,X126,X127,X128,X129,X130)|~perp(X127,X128,X129,X130))|perp(X123,X124,X125,X126)))))))))),inference(shift_quantors,status(thm),[fof(c159,axiom,(![X123]:(![X124]:(![X125]:(![X126]:((![X127]:(![X128]:(![X129]:(![X130]:(~eqangle(X123,X124,X125,X126,X127,X128,X129,X130)|~perp(X127,X128,X129,X130))))))|perp(X123,X124,X125,X126)))))),inference(variable_rename,status(thm),[c158])).])).
% 60.90/61.17 cnf(c161,axiom,~eqangle(X915,X910,X914,X913,X917,X912,X911,X916)|~perp(X917,X912,X911,X916)|perp(X915,X910,X914,X913),inference(split_conjunct,status(thm),[c160])).
% 60.90/61.17 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).
% 60.90/61.17 fof(c342,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])).
% 60.90/61.17 fof(c343,axiom,(![X424]:(![X425]:(![X426]:(![X427]:(![X428]:(![X429]:(![X430]:(![X431]:(~eqangle(X424,X425,X426,X427,X428,X429,X430,X431)|eqangle(X424,X425,X428,X429,X426,X427,X430,X431)))))))))),inference(variable_rename,status(thm),[c342])).
% 60.90/61.17 cnf(c344,axiom,~eqangle(X1200,X1196,X1199,X1197,X1202,X1198,X1195,X1201)|eqangle(X1200,X1196,X1202,X1198,X1199,X1197,X1195,X1201),inference(split_conjunct,status(thm),[c343])).
% 60.90/61.17 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 60.90/61.17 fof(c279,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])).
% 60.90/61.17 fof(c280,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),[c279])).
% 60.90/61.17 fof(c282,axiom,(![X288]:(![X289]:(![X290]:(![X291]:(![X292]:(![X293]:(~para(X288,X289,X290,X291)|eqangle(X288,X289,X292,X293,X290,X291,X292,X293)))))))),inference(shift_quantors,status(thm),[fof(c281,axiom,(![X288]:(![X289]:(![X290]:(![X291]:(~para(X288,X289,X290,X291)|(![X292]:(![X293]:eqangle(X288,X289,X292,X293,X290,X291,X292,X293)))))))),inference(variable_rename,status(thm),[c280])).])).
% 60.90/61.17 cnf(c283,axiom,~para(X1072,X1069,X1071,X1070)|eqangle(X1072,X1069,X1068,X1067,X1071,X1070,X1068,X1067),inference(split_conjunct,status(thm),[c282])).
% 60.90/61.17 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 60.90/61.17 fof(c395,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 60.90/61.17 fof(c396,axiom,(![X515]:(![X516]:(![X517]:(![X518]:(~para(X515,X516,X517,X518)|para(X515,X516,X518,X517)))))),inference(variable_rename,status(thm),[c395])).
% 60.90/61.17 cnf(c397,axiom,~para(X768,X769,X766,X767)|para(X768,X769,X767,X766),inference(split_conjunct,status(thm),[c396])).
% 60.90/61.17 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 60.90/61.17 fof(c284,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])).
% 60.90/61.17 fof(c285,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),[c284])).
% 60.90/61.17 fof(c287,axiom,(![X294]:(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(~eqangle(X294,X295,X298,X299,X296,X297,X298,X299)|para(X294,X295,X296,X297)))))))),inference(shift_quantors,status(thm),[fof(c286,axiom,(![X294]:(![X295]:(![X296]:(![X297]:((![X298]:(![X299]:~eqangle(X294,X295,X298,X299,X296,X297,X298,X299)))|para(X294,X295,X296,X297)))))),inference(variable_rename,status(thm),[c285])).])).
% 60.90/61.17 cnf(c288,axiom,~eqangle(X1074,X1073,X1075,X1076,X1078,X1077,X1075,X1076)|para(X1074,X1073,X1078,X1077),inference(split_conjunct,status(thm),[c287])).
% 60.90/61.17 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).
% 60.90/61.17 fof(c348,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])).
% 60.90/61.17 fof(c349,axiom,(![X440]:(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(~eqangle(X440,X441,X442,X443,X444,X445,X446,X447)|eqangle(X442,X443,X440,X441,X446,X447,X444,X445)))))))))),inference(variable_rename,status(thm),[c348])).
% 60.90/61.17 cnf(c350,axiom,~eqangle(X1211,X1212,X1215,X1213,X1218,X1216,X1217,X1214)|eqangle(X1215,X1213,X1211,X1212,X1217,X1214,X1218,X1216),inference(split_conjunct,status(thm),[c349])).
% 60.90/61.17 cnf(c16,negated_conjecture,midp(skolem0004,skolem0002,skolem0001),inference(split_conjunct,status(thm),[c14])).
% 60.90/61.17 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 60.90/61.17 fof(c374,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 60.90/61.17 fof(c375,axiom,(![X482]:(![X483]:(![X484]:(~midp(X484,X483,X482)|midp(X484,X482,X483))))),inference(variable_rename,status(thm),[c374])).
% 60.90/61.17 cnf(c376,axiom,~midp(X548,X547,X549)|midp(X548,X549,X547),inference(split_conjunct,status(thm),[c375])).
% 60.90/61.17 cnf(c413,plain,midp(skolem0004,skolem0001,skolem0002),inference(resolution,status(thm),[c376, c16])).
% 60.90/61.17 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 60.90/61.17 fof(c196,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])).
% 60.90/61.17 fof(c197,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c196])).
% 60.90/61.17 fof(c199,axiom,(![X175]:(![X176]:(![X177]:(![X178]:(![X179]:((~midp(X179,X175,X176)|~midp(X179,X177,X178))|para(X175,X177,X176,X178))))))),inference(shift_quantors,status(thm),[fof(c198,axiom,(![X175]:(![X176]:(![X177]:(![X178]:((![X179]:(~midp(X179,X175,X176)|~midp(X179,X177,X178)))|para(X175,X177,X176,X178)))))),inference(variable_rename,status(thm),[c197])).])).
% 60.90/61.17 cnf(c200,axiom,~midp(X960,X959,X961)|~midp(X960,X958,X962)|para(X959,X958,X961,X962),inference(split_conjunct,status(thm),[c199])).
% 60.90/61.17 cnf(c1061,plain,~midp(skolem0004,X1536,X1537)|para(X1536,skolem0002,X1537,skolem0001),inference(resolution,status(thm),[c200, c16])).
% 60.90/61.17 cnf(c2638,plain,para(skolem0001,skolem0002,skolem0002,skolem0001),inference(resolution,status(thm),[c1061, c413])).
% 60.90/61.17 cnf(c2660,plain,para(skolem0001,skolem0002,skolem0001,skolem0002),inference(resolution,status(thm),[c2638, c397])).
% 60.90/61.17 cnf(c2689,plain,eqangle(skolem0001,skolem0002,X2029,X2028,skolem0001,skolem0002,X2029,X2028),inference(resolution,status(thm),[c2660, c283])).
% 60.90/61.17 cnf(c4111,plain,eqangle(X2188,X2187,skolem0001,skolem0002,X2188,X2187,skolem0001,skolem0002),inference(resolution,status(thm),[c2689, c350])).
% 60.90/61.17 cnf(c4620,plain,para(X2190,X2189,X2190,X2189),inference(resolution,status(thm),[c4111, c288])).
% 60.90/61.17 cnf(c4629,plain,para(X2212,X2213,X2213,X2212),inference(resolution,status(thm),[c4620, c397])).
% 60.90/61.17 cnf(c5231,plain,eqangle(X3302,X3300,X3303,X3301,X3300,X3302,X3303,X3301),inference(resolution,status(thm),[c4629, c283])).
% 60.90/61.17 cnf(c8907,plain,eqangle(X3346,X3345,X3345,X3346,X3344,X3347,X3344,X3347),inference(resolution,status(thm),[c5231, c344])).
% 60.90/61.17 cnf(c8973,plain,~perp(X4456,X4455,X4456,X4455)|perp(X4453,X4454,X4454,X4453),inference(resolution,status(thm),[c8907, c161])).
% 60.90/61.17 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 60.90/61.17 fof(c363,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 60.90/61.17 fof(c364,axiom,(![X469]:(![X470]:(![X471]:(![X472]:(~cyclic(X469,X470,X471,X472)|cyclic(X469,X470,X472,X471)))))),inference(variable_rename,status(thm),[c363])).
% 60.90/61.17 cnf(c365,axiom,~cyclic(X696,X697,X698,X695)|cyclic(X696,X697,X695,X698),inference(split_conjunct,status(thm),[c364])).
% 60.90/61.17 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 60.90/61.17 fof(c360,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 60.90/61.18 fof(c361,axiom,(![X465]:(![X466]:(![X467]:(![X468]:(~cyclic(X465,X466,X467,X468)|cyclic(X465,X467,X466,X468)))))),inference(variable_rename,status(thm),[c360])).
% 60.90/61.18 cnf(c362,axiom,~cyclic(X694,X691,X692,X693)|cyclic(X694,X692,X691,X693),inference(split_conjunct,status(thm),[c361])).
% 60.90/61.18 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 60.90/61.18 fof(c404,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 60.90/61.18 fof(c405,axiom,(![X526]:(![X527]:(![X528]:(~coll(X526,X527,X528)|coll(X526,X528,X527))))),inference(variable_rename,status(thm),[c404])).
% 60.90/61.18 cnf(c406,axiom,~coll(X577,X576,X575)|coll(X577,X575,X576),inference(split_conjunct,status(thm),[c405])).
% 60.90/61.18 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 60.90/61.18 fof(c401,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 60.90/61.18 fof(c402,axiom,(![X523]:(![X524]:(![X525]:(~coll(X523,X524,X525)|coll(X524,X523,X525))))),inference(variable_rename,status(thm),[c401])).
% 60.90/61.18 cnf(c403,axiom,~coll(X558,X560,X559)|coll(X560,X558,X559),inference(split_conjunct,status(thm),[c402])).
% 60.90/61.18 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 60.90/61.18 fof(c187,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 60.90/61.18 fof(c188,axiom,(![X162]:(![X163]:(![X164]:(~para(X162,X163,X162,X164)|coll(X162,X163,X164))))),inference(variable_rename,status(thm),[c187])).
% 60.90/61.18 cnf(c189,axiom,~para(X651,X650,X651,X649)|coll(X651,X650,X649),inference(split_conjunct,status(thm),[c188])).
% 60.90/61.18 cnf(c4632,plain,coll(X2195,X2196,X2196),inference(resolution,status(thm),[c4620, c189])).
% 60.90/61.18 cnf(c4706,plain,coll(X2198,X2197,X2198),inference(resolution,status(thm),[c4632, c403])).
% 60.90/61.18 cnf(c4977,plain,coll(X2203,X2203,X2204),inference(resolution,status(thm),[c4706, c406])).
% 60.90/61.18 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 60.90/61.18 fof(c398,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 60.90/61.18 fof(c399,axiom,(![X519]:(![X520]:(![X521]:(![X522]:((~coll(X519,X520,X521)|~coll(X519,X520,X522))|coll(X521,X522,X519)))))),inference(variable_rename,status(thm),[c398])).
% 60.90/61.18 cnf(c400,axiom,~coll(X777,X778,X779)|~coll(X777,X778,X776)|coll(X779,X776,X777),inference(split_conjunct,status(thm),[c399])).
% 60.90/61.18 cnf(c5206,plain,~coll(X3185,X3185,X3187)|coll(X3187,X3186,X3185),inference(resolution,status(thm),[c4977, c400])).
% 60.90/61.18 cnf(c8682,plain,coll(X3194,X3195,X3193),inference(resolution,status(thm),[c5206, c4977])).
% 60.90/61.18 fof(ruleD42b,axiom,(![A]:(![B]:(![P]:(![Q]:((eqangle(P,A,P,B,Q,A,Q,B)&coll(P,Q,B))=>cyclic(A,B,P,Q)))))),input).
% 60.90/61.18 fof(c269,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])).
% 60.90/61.18 fof(c270,axiom,(![X276]:(![X277]:(![X278]:(![X279]:((~eqangle(X278,X276,X278,X277,X279,X276,X279,X277)|~coll(X278,X279,X277))|cyclic(X276,X277,X278,X279)))))),inference(variable_rename,status(thm),[c269])).
% 60.90/61.18 cnf(c271,axiom,~eqangle(X1056,X1058,X1056,X1057,X1055,X1058,X1055,X1057)|~coll(X1056,X1055,X1057)|cyclic(X1058,X1057,X1056,X1055),inference(split_conjunct,status(thm),[c270])).
% 60.90/61.18 cnf(c4630,plain,eqangle(X3010,X3012,X3013,X3011,X3010,X3012,X3013,X3011),inference(resolution,status(thm),[c4620, c283])).
% 60.90/61.18 cnf(c8422,plain,~coll(X3535,X3535,X3533)|cyclic(X3534,X3533,X3535,X3535),inference(resolution,status(thm),[c4630, c271])).
% 60.90/61.18 cnf(c9321,plain,cyclic(X3537,X3536,X3538,X3538),inference(resolution,status(thm),[c8422, c8682])).
% 60.90/61.18 cnf(c9328,plain,cyclic(X3545,X3546,X3544,X3546),inference(resolution,status(thm),[c9321, c362])).
% 60.90/61.18 cnf(c9332,plain,cyclic(X3551,X3550,X3550,X3552),inference(resolution,status(thm),[c9328, c365])).
% 60.90/61.18 fof(ruleD43,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:(![R]:((((cyclic(A,B,C,P)&cyclic(A,B,C,Q))&cyclic(A,B,C,R))&eqangle(C,A,C,B,R,P,R,Q))=>cong(A,B,P,Q)))))))),input).
% 60.90/61.18 fof(c264,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])).
% 60.90/61.18 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(shift_quantors,status(thm),[c264])).
% 60.90/61.18 fof(c267,axiom,(![X270]:(![X271]:(![X272]:(![X273]:(![X274]:(![X275]:((((~cyclic(X270,X271,X272,X273)|~cyclic(X270,X271,X272,X274))|~cyclic(X270,X271,X272,X275))|~eqangle(X272,X270,X272,X271,X275,X273,X275,X274))|cong(X270,X271,X273,X274)))))))),inference(shift_quantors,status(thm),[fof(c266,axiom,(![X270]:(![X271]:(![X272]:(![X273]:(![X274]:((![X275]:(((~cyclic(X270,X271,X272,X273)|~cyclic(X270,X271,X272,X274))|~cyclic(X270,X271,X272,X275))|~eqangle(X272,X270,X272,X271,X275,X273,X275,X274)))|cong(X270,X271,X273,X274))))))),inference(variable_rename,status(thm),[c265])).])).
% 60.90/61.18 cnf(c268,axiom,~cyclic(X1054,X1053,X1052,X1049)|~cyclic(X1054,X1053,X1052,X1051)|~cyclic(X1054,X1053,X1052,X1050)|~eqangle(X1052,X1054,X1052,X1053,X1050,X1049,X1050,X1051)|cong(X1054,X1053,X1049,X1051),inference(split_conjunct,status(thm),[c267])).
% 60.90/61.18 cnf(c8897,plain,eqangle(X3331,X3328,X3329,X3330,X3331,X3328,X3330,X3329),inference(resolution,status(thm),[c5231, c350])).
% 60.90/61.18 cnf(c8965,plain,eqangle(X3391,X3392,X3391,X3392,X3393,X3390,X3390,X3393),inference(resolution,status(thm),[c8897, c344])).
% 60.90/61.18 cnf(c9097,plain,~cyclic(X4522,X4522,X4523,X4524)|cong(X4522,X4522,X4524,X4524),inference(resolution,status(thm),[c8965, c268])).
% 60.90/61.18 cnf(c10164,plain,cong(X4525,X4525,X4526,X4526),inference(resolution,status(thm),[c9097, c9332])).
% 60.90/61.18 fof(ruleD57,axiom,(![A]:(![B]:(![P]:(![Q]:(((cong(A,P,B,P)&cong(A,Q,B,Q))&cyclic(A,B,P,Q))=>perp(P,A,A,Q)))))),input).
% 60.90/61.18 fof(c219,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])).
% 60.90/61.18 fof(c220,axiom,(![X210]:(![X211]:(![X212]:(![X213]:(((~cong(X210,X212,X211,X212)|~cong(X210,X213,X211,X213))|~cyclic(X210,X211,X212,X213))|perp(X212,X210,X210,X213)))))),inference(variable_rename,status(thm),[c219])).
% 60.90/61.18 cnf(c221,axiom,~cong(X992,X990,X991,X990)|~cong(X992,X989,X991,X989)|~cyclic(X992,X991,X990,X989)|perp(X990,X992,X992,X989),inference(split_conjunct,status(thm),[c220])).
% 60.90/61.18 cnf(c9324,plain,~cong(X4682,X4683,X4681,X4683)|perp(X4683,X4682,X4682,X4683),inference(resolution,status(thm),[c9321, c221])).
% 60.90/61.18 cnf(c10756,plain,perp(X4684,X4684,X4684,X4684),inference(resolution,status(thm),[c9324, c10164])).
% 60.90/61.18 cnf(c10778,plain,perp(X4691,X4690,X4690,X4691),inference(resolution,status(thm),[c10756, c8973])).
% 60.90/61.18 cnf(c10839,plain,~midp(X4728,X4727,X4727)|cong(X4727,X4728,X4726,X4728),inference(resolution,status(thm),[c10778, c238])).
% 60.90/61.18 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 60.90/61.18 fof(c184,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 60.90/61.18 fof(c185,axiom,(![X159]:(![X160]:(![X161]:((~cong(X159,X160,X159,X161)|~coll(X159,X160,X161))|midp(X159,X160,X161))))),inference(variable_rename,status(thm),[c184])).
% 60.90/61.18 cnf(c186,axiom,~cong(X943,X945,X943,X944)|~coll(X943,X945,X944)|midp(X943,X945,X944),inference(split_conjunct,status(thm),[c185])).
% 60.90/61.18 cnf(c10172,plain,~coll(X4544,X4544,X4544)|midp(X4544,X4544,X4544),inference(resolution,status(thm),[c10164, c186])).
% 60.90/61.18 cnf(c10203,plain,midp(X4545,X4545,X4545),inference(resolution,status(thm),[c10172, c8682])).
% 60.90/61.18 cnf(c11462,plain,cong(X4730,X4730,X4729,X4730),inference(resolution,status(thm),[c10839, c10203])).
% 60.90/61.18 cnf(c11486,plain,cong(X4734,X4734,X4734,X4733),inference(resolution,status(thm),[c11462, c338])).
% 60.90/61.18 cnf(c11544,plain,~coll(X4751,X4751,X4752)|midp(X4751,X4751,X4752),inference(resolution,status(thm),[c11486, c186])).
% 60.90/61.18 cnf(c11763,plain,midp(X4754,X4754,X4753),inference(resolution,status(thm),[c11544, c8682])).
% 60.90/61.18 cnf(c11776,plain,midp(X4756,X4755,X4756),inference(resolution,status(thm),[c11763, c376])).
% 60.90/61.18 fof(ruleD73,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((eqangle(A,B,C,D,P,Q,U,V)¶(P,Q,U,V))=>para(A,B,C,D)))))))))),input).
% 60.90/61.18 fof(c162,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D)))))))))),inference(fof_nnf,status(thm),[ruleD73])).
% 60.90/61.18 fof(c163,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))))))|para(A,B,C,D)))))),inference(shift_quantors,status(thm),[c162])).
% 60.90/61.18 fof(c165,axiom,(![X131]:(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:(![X138]:((~eqangle(X131,X132,X133,X134,X135,X136,X137,X138)|~para(X135,X136,X137,X138))|para(X131,X132,X133,X134)))))))))),inference(shift_quantors,status(thm),[fof(c164,axiom,(![X131]:(![X132]:(![X133]:(![X134]:((![X135]:(![X136]:(![X137]:(![X138]:(~eqangle(X131,X132,X133,X134,X135,X136,X137,X138)|~para(X135,X136,X137,X138))))))|para(X131,X132,X133,X134)))))),inference(variable_rename,status(thm),[c163])).])).
% 60.90/61.18 cnf(c166,axiom,~eqangle(X924,X922,X926,X919,X923,X925,X920,X921)|~para(X923,X925,X920,X921)|para(X924,X922,X926,X919),inference(split_conjunct,status(thm),[c165])).
% 60.90/61.18 fof(ruleD18,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(![U]:(![V]:(eqangle(A,B,C,D,P,Q,U,V)=>eqangle(B,A,C,D,P,Q,U,V)))))))))),input).
% 60.90/61.18 fof(c351,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])).
% 60.90/61.18 fof(c352,axiom,(![X448]:(![X449]:(![X450]:(![X451]:(![X452]:(![X453]:(![X454]:(![X455]:(~eqangle(X448,X449,X450,X451,X452,X453,X454,X455)|eqangle(X449,X448,X450,X451,X452,X453,X454,X455)))))))))),inference(variable_rename,status(thm),[c351])).
% 60.90/61.18 cnf(c353,axiom,~eqangle(X1224,X1220,X1221,X1222,X1219,X1223,X1226,X1225)|eqangle(X1220,X1224,X1221,X1222,X1219,X1223,X1226,X1225),inference(split_conjunct,status(thm),[c352])).
% 60.90/61.18 cnf(c8963,plain,eqangle(X3384,X3382,X3383,X3385,X3382,X3384,X3385,X3383),inference(resolution,status(thm),[c8897, c353])).
% 60.90/61.18 cnf(c9088,plain,~para(X4499,X4502,X4501,X4500)|para(X4502,X4499,X4500,X4501),inference(resolution,status(thm),[c8963, c166])).
% 60.90/61.18 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 60.90/61.18 fof(c261,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])).
% 60.90/61.18 fof(c262,axiom,(![X265]:(![X266]:(![X267]:(![X268]:(![X269]:((~midp(X268,X265,X266)|~midp(X269,X265,X267))|para(X268,X269,X266,X267))))))),inference(variable_rename,status(thm),[c261])).
% 60.90/61.18 cnf(c263,axiom,~midp(X1045,X1046,X1047)|~midp(X1044,X1046,X1048)|para(X1045,X1044,X1047,X1048),inference(split_conjunct,status(thm),[c262])).
% 60.90/61.18 cnf(c11767,plain,~midp(X5700,X5699,X5698)|para(X5700,X5699,X5698,X5701),inference(resolution,status(thm),[c11763, c263])).
% 60.90/61.18 cnf(c16789,plain,para(X5702,X5703,X5702,X5704),inference(resolution,status(thm),[c11767, c11776])).
% 60.90/61.18 cnf(c16799,plain,para(X5708,X5709,X5710,X5709),inference(resolution,status(thm),[c16789, c9088])).
% 60.90/61.18 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).
% 60.90/61.18 fof(c193,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])).
% 60.90/61.18 fof(c194,axiom,(![X170]:(![X171]:(![X172]:(![X173]:(![X174]:(((~midp(X174,X170,X171)|~para(X170,X172,X171,X173))|~para(X170,X173,X171,X172))|midp(X174,X172,X173))))))),inference(variable_rename,status(thm),[c193])).
% 60.90/61.18 cnf(c195,axiom,~midp(X953,X952,X956)|~para(X952,X954,X956,X955)|~para(X952,X955,X956,X954)|midp(X953,X954,X955),inference(split_conjunct,status(thm),[c194])).
% 60.90/61.18 cnf(c4635,plain,~midp(X12582,X12581,X12581)|~para(X12581,X12583,X12581,X12583)|midp(X12582,X12583,X12583),inference(resolution,status(thm),[c4620, c195])).
% 60.90/61.18 cnf(c29016,plain,~midp(X12611,X12612,X12612)|midp(X12611,X12610,X12610),inference(resolution,status(thm),[c4635, c16799])).
% 60.90/61.18 cnf(c29025,plain,midp(X12613,X12614,X12614),inference(resolution,status(thm),[c29016, c11776])).
% 60.90/61.18 cnf(c29051,plain,cong(X12626,X12627,X12625,X12627),inference(resolution,status(thm),[c29025, c10839])).
% 60.90/61.18 cnf(c29158,plain,cong(X12643,X12644,X12644,X12642),inference(resolution,status(thm),[c29051, c338])).
% 60.90/61.18 cnf(c29179,plain,cong(X12646,X12647,X12645,X12646),inference(resolution,status(thm),[c29158, c335])).
% 60.90/61.18 cnf(c29236,plain,cong(X12658,X12659,X12658,X12657),inference(resolution,status(thm),[c29179, c338])).
% 60.90/61.18 cnf(c29269,plain,$false,inference(resolution,status(thm),[c29236, c21])).
% 60.90/61.18 # SZS output end CNFRefutation
% 60.90/61.18
% 60.90/61.18 # Initial clauses : 134
% 60.90/61.18 # Processed clauses : 3079
% 60.90/61.18 # Factors computed : 0
% 60.90/61.18 # Resolvents computed: 28873
% 60.90/61.18 # Tautologies deleted: 23
% 60.90/61.18 # Forward subsumed : 10273
% 60.90/61.18 # Backward subsumed : 1628
% 60.90/61.18 # -------- CPU Time ---------
% 60.90/61.18 # User time : 60.732 s
% 60.90/61.18 # System time : 0.069 s
% 60.90/61.18 # Total time : 60.801 s
%------------------------------------------------------------------------------