TSTP Solution File: GEO611+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 06:01:09 EDT 2022
% Result : Theorem 168.88s 169.08s
% Output : Refutation 168.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n003.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 : Fri Jun 17 22:55:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 168.88/169.08 # Version: 1.3
% 168.88/169.08 # SZS status Theorem
% 168.88/169.08 # SZS output start CNFRefutation
% 168.88/169.08 fof(exemplo6GDDFULL618073,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![H]:(![NWPNT1]:(![NWPNT2]:((((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&circle(D,E,H,NWPNT2))&coll(H,E,G))=>para(G,F,H,C)))))))))))),input).
% 168.88/169.08 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(![H]:(![NWPNT1]:(![NWPNT2]:((((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&circle(D,E,H,NWPNT2))&coll(H,E,G))=>para(G,F,H,C))))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL618073])).
% 168.88/169.08 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(?[H]:(?[NWPNT1]:(?[NWPNT2]:((((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&circle(D,E,H,NWPNT2))&coll(H,E,G))&~para(G,F,H,C)))))))))))),inference(fof_nnf,status(thm),[c11])).
% 168.88/169.08 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(?[H]:((((((((circle(D,A,B,C)&(?[NWPNT1]:circle(D,A,E,NWPNT1)))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&(?[NWPNT2]:circle(D,E,H,NWPNT2)))&coll(H,E,G))&~para(G,F,H,C)))))))))),inference(shift_quantors,status(thm),[c12])).
% 168.88/169.08 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(?[X9]:((((((((circle(X5,X2,X3,X4)&(?[X10]:circle(X5,X2,X6,X10)))&perp(X7,X6,X2,X4))&coll(X7,X2,X4))&perp(X8,X6,X2,X3))&coll(X8,X2,X3))&(?[X11]:circle(X5,X6,X9,X11)))&coll(X9,X6,X8))&~para(X8,X7,X9,X4)))))))))),inference(variable_rename,status(thm),[c13])).
% 168.88/169.08 fof(c15,negated_conjecture,((((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&circle(skolem0004,skolem0001,skolem0005,skolem0009))&perp(skolem0006,skolem0005,skolem0001,skolem0003))&coll(skolem0006,skolem0001,skolem0003))&perp(skolem0007,skolem0005,skolem0001,skolem0002))&coll(skolem0007,skolem0001,skolem0002))&circle(skolem0004,skolem0005,skolem0008,skolem0010))&coll(skolem0008,skolem0005,skolem0007))&~para(skolem0007,skolem0006,skolem0008,skolem0003)),inference(skolemize,status(esa),[c14])).
% 168.88/169.08 cnf(c24,negated_conjecture,~para(skolem0007,skolem0006,skolem0008,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 168.88/169.08 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 168.88/169.08 fof(c199,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])).
% 168.88/169.08 fof(c200,axiom,(![A]:(![B]:(![C]:(![D]:((![M]:(~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D)))))),inference(shift_quantors,status(thm),[c199])).
% 168.88/169.08 fof(c202,axiom,(![X179]:(![X180]:(![X181]:(![X182]:(![X183]:((~midp(X183,X179,X180)|~midp(X183,X181,X182))|para(X179,X181,X180,X182))))))),inference(shift_quantors,status(thm),[fof(c201,axiom,(![X179]:(![X180]:(![X181]:(![X182]:((![X183]:(~midp(X183,X179,X180)|~midp(X183,X181,X182)))|para(X179,X181,X180,X182)))))),inference(variable_rename,status(thm),[c200])).])).
% 168.88/169.08 cnf(c203,axiom,~midp(X967,X965,X966)|~midp(X967,X968,X964)|para(X965,X968,X966,X964),inference(split_conjunct,status(thm),[c202])).
% 168.88/169.08 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 168.88/169.08 fof(c377,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 168.88/169.08 fof(c378,axiom,(![X486]:(![X487]:(![X488]:(~midp(X488,X487,X486)|midp(X488,X486,X487))))),inference(variable_rename,status(thm),[c377])).
% 168.88/169.08 cnf(c379,axiom,~midp(X553,X551,X552)|midp(X553,X552,X551),inference(split_conjunct,status(thm),[c378])).
% 168.88/169.08 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 168.88/169.08 fof(c407,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 168.88/169.08 fof(c408,axiom,(![X530]:(![X531]:(![X532]:(~coll(X530,X531,X532)|coll(X530,X532,X531))))),inference(variable_rename,status(thm),[c407])).
% 168.88/169.08 cnf(c409,axiom,~coll(X574,X573,X575)|coll(X574,X575,X573),inference(split_conjunct,status(thm),[c408])).
% 168.88/169.08 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 168.88/169.08 fof(c404,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 168.88/169.08 fof(c405,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X528,X527,X529))))),inference(variable_rename,status(thm),[c404])).
% 168.88/169.08 cnf(c406,axiom,~coll(X562,X563,X564)|coll(X563,X562,X564),inference(split_conjunct,status(thm),[c405])).
% 168.88/169.08 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 168.88/169.08 fof(c190,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 168.88/169.08 fof(c191,axiom,(![X166]:(![X167]:(![X168]:(~para(X166,X167,X166,X168)|coll(X166,X167,X168))))),inference(variable_rename,status(thm),[c190])).
% 168.88/169.08 cnf(c192,axiom,~para(X642,X641,X642,X643)|coll(X642,X641,X643),inference(split_conjunct,status(thm),[c191])).
% 168.88/169.08 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 168.88/169.08 fof(c287,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])).
% 168.88/169.08 fof(c288,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),[c287])).
% 168.88/169.08 fof(c290,axiom,(![X298]:(![X299]:(![X300]:(![X301]:(![X302]:(![X303]:(~eqangle(X298,X299,X302,X303,X300,X301,X302,X303)|para(X298,X299,X300,X301)))))))),inference(shift_quantors,status(thm),[fof(c289,axiom,(![X298]:(![X299]:(![X300]:(![X301]:((![X302]:(![X303]:~eqangle(X298,X299,X302,X303,X300,X301,X302,X303)))|para(X298,X299,X300,X301)))))),inference(variable_rename,status(thm),[c288])).])).
% 168.88/169.08 cnf(c291,axiom,~eqangle(X1083,X1079,X1081,X1084,X1080,X1082,X1081,X1084)|para(X1083,X1079,X1080,X1082),inference(split_conjunct,status(thm),[c290])).
% 168.88/169.08 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).
% 168.88/169.08 fof(c351,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])).
% 168.88/169.08 fof(c352,axiom,(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(![X449]:(![X450]:(![X451]:(~eqangle(X444,X445,X446,X447,X448,X449,X450,X451)|eqangle(X446,X447,X444,X445,X450,X451,X448,X449)))))))))),inference(variable_rename,status(thm),[c351])).
% 168.88/169.08 cnf(c353,axiom,~eqangle(X1224,X1227,X1226,X1228,X1223,X1222,X1225,X1221)|eqangle(X1226,X1228,X1224,X1227,X1225,X1221,X1223,X1222),inference(split_conjunct,status(thm),[c352])).
% 168.88/169.08 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 168.88/169.08 fof(c282,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])).
% 168.88/169.08 fof(c283,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),[c282])).
% 168.88/169.08 fof(c285,axiom,(![X292]:(![X293]:(![X294]:(![X295]:(![X296]:(![X297]:(~para(X292,X293,X294,X295)|eqangle(X292,X293,X296,X297,X294,X295,X296,X297)))))))),inference(shift_quantors,status(thm),[fof(c284,axiom,(![X292]:(![X293]:(![X294]:(![X295]:(~para(X292,X293,X294,X295)|(![X296]:(![X297]:eqangle(X292,X293,X296,X297,X294,X295,X296,X297)))))))),inference(variable_rename,status(thm),[c283])).])).
% 168.88/169.08 cnf(c286,axiom,~para(X1072,X1073,X1077,X1076)|eqangle(X1072,X1073,X1074,X1075,X1077,X1076,X1074,X1075),inference(split_conjunct,status(thm),[c285])).
% 168.88/169.08 cnf(c18,negated_conjecture,perp(skolem0006,skolem0005,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 168.88/169.08 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 168.88/169.08 fof(c386,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 168.88/169.08 fof(c387,axiom,(![X501]:(![X502]:(![X503]:(![X504]:(~perp(X501,X502,X503,X504)|perp(X503,X504,X501,X502)))))),inference(variable_rename,status(thm),[c386])).
% 168.88/169.08 cnf(c388,axiom,~perp(X691,X689,X688,X690)|perp(X688,X690,X691,X689),inference(split_conjunct,status(thm),[c387])).
% 168.88/169.08 cnf(c471,plain,perp(skolem0001,skolem0003,skolem0006,skolem0005),inference(resolution,status(thm),[c388, c18])).
% 168.88/169.08 fof(ruleD7,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(A,B,D,C)))))),input).
% 168.88/169.08 fof(c389,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD7])).
% 168.88/169.08 fof(c390,axiom,(![X505]:(![X506]:(![X507]:(![X508]:(~perp(X505,X506,X507,X508)|perp(X505,X506,X508,X507)))))),inference(variable_rename,status(thm),[c389])).
% 168.88/169.08 cnf(c391,axiom,~perp(X701,X700,X698,X699)|perp(X701,X700,X699,X698),inference(split_conjunct,status(thm),[c390])).
% 168.88/169.08 cnf(c477,plain,perp(skolem0001,skolem0003,skolem0005,skolem0006),inference(resolution,status(thm),[c391, c471])).
% 168.88/169.08 cnf(c483,plain,perp(skolem0005,skolem0006,skolem0001,skolem0003),inference(resolution,status(thm),[c477, c388])).
% 168.88/169.08 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).
% 168.88/169.08 fof(c383,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])).
% 168.88/169.08 fof(c384,axiom,(![X495]:(![X496]:(![X497]:(![X498]:(![X499]:(![X500]:((~perp(X495,X496,X497,X498)|~perp(X497,X498,X499,X500))|para(X495,X496,X499,X500)))))))),inference(variable_rename,status(thm),[c383])).
% 168.88/169.08 cnf(c385,axiom,~perp(X1258,X1260,X1259,X1257)|~perp(X1259,X1257,X1261,X1262)|para(X1258,X1260,X1261,X1262),inference(split_conjunct,status(thm),[c384])).
% 168.88/169.08 cnf(c1548,plain,~perp(X2794,X2795,skolem0005,skolem0006)|para(X2794,X2795,skolem0001,skolem0003),inference(resolution,status(thm),[c385, c483])).
% 168.88/169.08 cnf(c5560,plain,para(skolem0001,skolem0003,skolem0001,skolem0003),inference(resolution,status(thm),[c1548, c477])).
% 168.88/169.08 cnf(c5568,plain,eqangle(skolem0001,skolem0003,X3376,X3375,skolem0001,skolem0003,X3376,X3375),inference(resolution,status(thm),[c5560, c286])).
% 168.88/169.08 cnf(c6875,plain,eqangle(X3414,X3415,skolem0001,skolem0003,X3414,X3415,skolem0001,skolem0003),inference(resolution,status(thm),[c5568, c353])).
% 168.88/169.08 cnf(c7130,plain,para(X3417,X3416,X3417,X3416),inference(resolution,status(thm),[c6875, c291])).
% 168.88/169.08 cnf(c7166,plain,coll(X3418,X3419,X3419),inference(resolution,status(thm),[c7130, c192])).
% 168.88/169.08 cnf(c7315,plain,coll(X3422,X3423,X3422),inference(resolution,status(thm),[c7166, c406])).
% 168.88/169.08 cnf(c7689,plain,coll(X3424,X3424,X3425),inference(resolution,status(thm),[c7315, c409])).
% 168.88/169.08 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 168.88/169.08 fof(c401,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 168.88/169.08 fof(c402,axiom,(![X523]:(![X524]:(![X525]:(![X526]:((~coll(X523,X524,X525)|~coll(X523,X524,X526))|coll(X525,X526,X523)))))),inference(variable_rename,status(thm),[c401])).
% 168.88/169.08 cnf(c403,axiom,~coll(X744,X745,X746)|~coll(X744,X745,X743)|coll(X746,X743,X744),inference(split_conjunct,status(thm),[c402])).
% 168.88/169.08 cnf(c8134,plain,~coll(X5038,X5038,X5037)|coll(X5037,X5036,X5038),inference(resolution,status(thm),[c7689, c403])).
% 168.88/169.08 cnf(c14795,plain,coll(X5041,X5042,X5043),inference(resolution,status(thm),[c8134, c7689])).
% 168.88/169.08 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 168.88/169.08 fof(c187,axiom,(![A]:(![B]:(![C]:((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))))),inference(fof_nnf,status(thm),[ruleD67])).
% 168.88/169.08 fof(c188,axiom,(![X163]:(![X164]:(![X165]:((~cong(X163,X164,X163,X165)|~coll(X163,X164,X165))|midp(X163,X164,X165))))),inference(variable_rename,status(thm),[c187])).
% 168.88/169.08 cnf(c189,axiom,~cong(X953,X952,X953,X951)|~coll(X953,X952,X951)|midp(X953,X952,X951),inference(split_conjunct,status(thm),[c188])).
% 168.88/169.08 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 168.88/169.08 fof(c339,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 168.88/169.08 fof(c340,axiom,(![X412]:(![X413]:(![X414]:(![X415]:(~cong(X412,X413,X414,X415)|cong(X412,X413,X415,X414)))))),inference(variable_rename,status(thm),[c339])).
% 168.88/169.08 cnf(c341,axiom,~cong(X661,X662,X663,X660)|cong(X661,X662,X660,X663),inference(split_conjunct,status(thm),[c340])).
% 168.88/169.08 fof(ruleD16,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(B,A,C,D)))))),input).
% 168.88/169.08 fof(c360,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(B,A,C,D)))))),inference(fof_nnf,status(thm),[ruleD16])).
% 168.88/169.08 fof(c361,axiom,(![X465]:(![X466]:(![X467]:(![X468]:(~cyclic(X465,X466,X467,X468)|cyclic(X466,X465,X467,X468)))))),inference(variable_rename,status(thm),[c360])).
% 168.88/169.08 cnf(c362,axiom,~cyclic(X664,X665,X666,X667)|cyclic(X665,X664,X666,X667),inference(split_conjunct,status(thm),[c361])).
% 168.88/169.08 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 168.88/169.08 fof(c363,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 168.88/169.08 fof(c364,axiom,(![X469]:(![X470]:(![X471]:(![X472]:(~cyclic(X469,X470,X471,X472)|cyclic(X469,X471,X470,X472)))))),inference(variable_rename,status(thm),[c363])).
% 168.88/169.08 cnf(c365,axiom,~cyclic(X669,X671,X668,X670)|cyclic(X669,X668,X671,X670),inference(split_conjunct,status(thm),[c364])).
% 168.88/169.08 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).
% 168.88/169.08 fof(c272,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])).
% 168.88/169.08 fof(c273,axiom,(![X280]:(![X281]:(![X282]:(![X283]:((~eqangle(X282,X280,X282,X281,X283,X280,X283,X281)|~coll(X282,X283,X281))|cyclic(X280,X281,X282,X283)))))),inference(variable_rename,status(thm),[c272])).
% 168.88/169.08 cnf(c274,axiom,~eqangle(X1059,X1061,X1059,X1060,X1062,X1061,X1062,X1060)|~coll(X1059,X1062,X1060)|cyclic(X1061,X1060,X1059,X1062),inference(split_conjunct,status(thm),[c273])).
% 168.88/169.08 cnf(c7151,plain,eqangle(X4802,X4805,X4804,X4803,X4802,X4805,X4804,X4803),inference(resolution,status(thm),[c7130, c286])).
% 168.88/169.08 cnf(c14596,plain,~coll(X5418,X5418,X5420)|cyclic(X5419,X5420,X5418,X5418),inference(resolution,status(thm),[c7151, c274])).
% 168.88/169.08 cnf(c15584,plain,cyclic(X5423,X5421,X5422,X5422),inference(resolution,status(thm),[c14596, c14795])).
% 168.88/169.08 cnf(c15586,plain,cyclic(X5427,X5428,X5429,X5428),inference(resolution,status(thm),[c15584, c365])).
% 168.88/169.08 cnf(c15595,plain,cyclic(X5440,X5439,X5441,X5440),inference(resolution,status(thm),[c15586, c362])).
% 168.88/169.08 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).
% 168.88/169.08 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(fof_nnf,status(thm),[ruleD43])).
% 168.88/169.08 fof(c268,axiom,(![A]:(![B]:(![C]:(![P]:(![Q]:((![R]:(((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))))))),inference(shift_quantors,status(thm),[c267])).
% 168.88/169.08 fof(c270,axiom,(![X274]:(![X275]:(![X276]:(![X277]:(![X278]:(![X279]:((((~cyclic(X274,X275,X276,X277)|~cyclic(X274,X275,X276,X278))|~cyclic(X274,X275,X276,X279))|~eqangle(X276,X274,X276,X275,X279,X277,X279,X278))|cong(X274,X275,X277,X278)))))))),inference(shift_quantors,status(thm),[fof(c269,axiom,(![X274]:(![X275]:(![X276]:(![X277]:(![X278]:((![X279]:(((~cyclic(X274,X275,X276,X277)|~cyclic(X274,X275,X276,X278))|~cyclic(X274,X275,X276,X279))|~eqangle(X276,X274,X276,X275,X279,X277,X279,X278)))|cong(X274,X275,X277,X278))))))),inference(variable_rename,status(thm),[c268])).])).
% 168.88/169.08 cnf(c271,axiom,~cyclic(X1053,X1057,X1056,X1058)|~cyclic(X1053,X1057,X1056,X1054)|~cyclic(X1053,X1057,X1056,X1055)|~eqangle(X1056,X1053,X1056,X1057,X1055,X1058,X1055,X1054)|cong(X1053,X1057,X1058,X1054),inference(split_conjunct,status(thm),[c270])).
% 168.88/169.08 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).
% 168.88/169.08 fof(c345,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])).
% 168.88/169.08 fof(c346,axiom,(![X428]:(![X429]:(![X430]:(![X431]:(![X432]:(![X433]:(![X434]:(![X435]:(~eqangle(X428,X429,X430,X431,X432,X433,X434,X435)|eqangle(X428,X429,X432,X433,X430,X431,X434,X435)))))))))),inference(variable_rename,status(thm),[c345])).
% 168.88/169.08 cnf(c347,axiom,~eqangle(X1210,X1208,X1206,X1207,X1209,X1212,X1211,X1205)|eqangle(X1210,X1208,X1209,X1212,X1206,X1207,X1211,X1205),inference(split_conjunct,status(thm),[c346])).
% 168.88/169.08 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 168.88/169.08 fof(c398,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 168.88/169.08 fof(c399,axiom,(![X519]:(![X520]:(![X521]:(![X522]:(~para(X519,X520,X521,X522)|para(X519,X520,X522,X521)))))),inference(variable_rename,status(thm),[c398])).
% 168.88/169.08 cnf(c400,axiom,~para(X736,X733,X734,X735)|para(X736,X733,X735,X734),inference(split_conjunct,status(thm),[c399])).
% 168.88/169.08 cnf(c7152,plain,para(X3434,X3435,X3435,X3434),inference(resolution,status(thm),[c7130, c400])).
% 168.88/169.08 cnf(c8296,plain,eqangle(X5187,X5184,X5186,X5185,X5184,X5187,X5186,X5185),inference(resolution,status(thm),[c7152, c286])).
% 168.88/169.08 cnf(c15154,plain,eqangle(X5227,X5229,X5228,X5230,X5227,X5229,X5230,X5228),inference(resolution,status(thm),[c8296, c353])).
% 168.88/169.08 cnf(c15235,plain,eqangle(X5287,X5285,X5287,X5285,X5288,X5286,X5286,X5288),inference(resolution,status(thm),[c15154, c347])).
% 168.88/169.08 cnf(c15317,plain,~cyclic(X6430,X6430,X6431,X6429)|cong(X6430,X6430,X6429,X6429),inference(resolution,status(thm),[c15235, c271])).
% 168.88/169.08 cnf(c16199,plain,cong(X6432,X6432,X6432,X6432),inference(resolution,status(thm),[c15317, c15595])).
% 168.88/169.08 cnf(c16206,plain,~coll(X6454,X6454,X6454)|midp(X6454,X6454,X6454),inference(resolution,status(thm),[c16199, c189])).
% 168.88/169.08 cnf(c16245,plain,midp(X6458,X6458,X6458),inference(resolution,status(thm),[c16206, c14795])).
% 168.88/169.08 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 168.88/169.08 fof(c239,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])).
% 168.88/169.08 fof(c240,axiom,(![X234]:(![X235]:(![X236]:(![X237]:((~perp(X234,X235,X235,X236)|~midp(X237,X234,X236))|cong(X234,X237,X235,X237)))))),inference(variable_rename,status(thm),[c239])).
% 168.88/169.08 cnf(c241,axiom,~perp(X1016,X1014,X1014,X1015)|~midp(X1013,X1016,X1015)|cong(X1016,X1013,X1014,X1013),inference(split_conjunct,status(thm),[c240])).
% 168.88/169.08 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).
% 168.88/169.08 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(fof_nnf,status(thm),[ruleD74])).
% 168.88/169.08 fof(c161,axiom,(![A]:(![B]:(![C]:(![D]:((![P]:(![Q]:(![U]:(![V]:(~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))))))|perp(A,B,C,D)))))),inference(shift_quantors,status(thm),[c160])).
% 168.88/169.08 fof(c163,axiom,(![X127]:(![X128]:(![X129]:(![X130]:(![X131]:(![X132]:(![X133]:(![X134]:((~eqangle(X127,X128,X129,X130,X131,X132,X133,X134)|~perp(X131,X132,X133,X134))|perp(X127,X128,X129,X130)))))))))),inference(shift_quantors,status(thm),[fof(c162,axiom,(![X127]:(![X128]:(![X129]:(![X130]:((![X131]:(![X132]:(![X133]:(![X134]:(~eqangle(X127,X128,X129,X130,X131,X132,X133,X134)|~perp(X131,X132,X133,X134))))))|perp(X127,X128,X129,X130)))))),inference(variable_rename,status(thm),[c161])).])).
% 168.88/169.08 cnf(c164,axiom,~eqangle(X921,X923,X917,X919,X918,X916,X920,X922)|~perp(X918,X916,X920,X922)|perp(X921,X923,X917,X919),inference(split_conjunct,status(thm),[c163])).
% 168.88/169.08 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).
% 168.88/169.08 fof(c354,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])).
% 168.88/169.08 fof(c355,axiom,(![X452]:(![X453]:(![X454]:(![X455]:(![X456]:(![X457]:(![X458]:(![X459]:(~eqangle(X452,X453,X454,X455,X456,X457,X458,X459)|eqangle(X453,X452,X454,X455,X456,X457,X458,X459)))))))))),inference(variable_rename,status(thm),[c354])).
% 168.88/169.08 cnf(c356,axiom,~eqangle(X1236,X1233,X1234,X1235,X1231,X1229,X1230,X1232)|eqangle(X1233,X1236,X1234,X1235,X1231,X1229,X1230,X1232),inference(split_conjunct,status(thm),[c355])).
% 168.88/169.08 cnf(c15223,plain,eqangle(X5270,X5268,X5271,X5269,X5268,X5270,X5269,X5271),inference(resolution,status(thm),[c15154, c356])).
% 168.88/169.08 cnf(c15313,plain,eqangle(X5334,X5336,X5336,X5334,X5337,X5335,X5335,X5337),inference(resolution,status(thm),[c15223, c347])).
% 168.88/169.08 cnf(c15416,plain,~perp(X6500,X6501,X6501,X6500)|perp(X6498,X6499,X6499,X6498),inference(resolution,status(thm),[c15313, c164])).
% 168.88/169.08 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 168.88/169.08 fof(c366,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 168.88/169.08 fof(c367,axiom,(![X473]:(![X474]:(![X475]:(![X476]:(~cyclic(X473,X474,X475,X476)|cyclic(X473,X474,X476,X475)))))),inference(variable_rename,status(thm),[c366])).
% 168.88/169.08 cnf(c368,axiom,~cyclic(X674,X673,X672,X675)|cyclic(X674,X673,X675,X672),inference(split_conjunct,status(thm),[c367])).
% 168.88/169.08 cnf(c15608,plain,cyclic(X5454,X5456,X5454,X5455),inference(resolution,status(thm),[c15595, c368])).
% 168.88/169.08 cnf(c16200,plain,cong(X6436,X6436,X6437,X6437),inference(resolution,status(thm),[c15317, c15608])).
% 168.88/169.08 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).
% 168.88/169.08 fof(c222,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])).
% 168.88/169.08 fof(c223,axiom,(![X214]:(![X215]:(![X216]:(![X217]:(((~cong(X214,X216,X215,X216)|~cong(X214,X217,X215,X217))|~cyclic(X214,X215,X216,X217))|perp(X216,X214,X214,X217)))))),inference(variable_rename,status(thm),[c222])).
% 168.88/169.08 cnf(c224,axiom,~cong(X995,X994,X993,X994)|~cong(X995,X996,X993,X996)|~cyclic(X995,X993,X994,X996)|perp(X994,X995,X995,X996),inference(split_conjunct,status(thm),[c223])).
% 168.88/169.08 cnf(c15590,plain,~cong(X6507,X6506,X6508,X6506)|perp(X6506,X6507,X6507,X6506),inference(resolution,status(thm),[c15584, c224])).
% 168.88/169.08 cnf(c16288,plain,perp(X6512,X6512,X6512,X6512),inference(resolution,status(thm),[c15590, c16200])).
% 168.88/169.08 cnf(c16300,plain,perp(X6519,X6518,X6518,X6519),inference(resolution,status(thm),[c16288, c15416])).
% 168.88/169.08 cnf(c16350,plain,~midp(X6645,X6644,X6644)|cong(X6644,X6645,X6646,X6645),inference(resolution,status(thm),[c16300, c241])).
% 168.88/169.08 cnf(c16618,plain,cong(X6647,X6647,X6648,X6647),inference(resolution,status(thm),[c16350, c16245])).
% 168.88/169.08 cnf(c16622,plain,cong(X6652,X6652,X6652,X6653),inference(resolution,status(thm),[c16618, c341])).
% 168.88/169.08 cnf(c16640,plain,~coll(X6677,X6677,X6676)|midp(X6677,X6677,X6676),inference(resolution,status(thm),[c16622, c189])).
% 168.88/169.08 cnf(c16699,plain,midp(X6679,X6679,X6678),inference(resolution,status(thm),[c16640, c14795])).
% 168.88/169.08 cnf(c16833,plain,midp(X6681,X6680,X6681),inference(resolution,status(thm),[c16699, c379])).
% 168.88/169.08 cnf(c17078,plain,~midp(X10183,X10186,X10184)|para(X10186,X10185,X10184,X10183),inference(resolution,status(thm),[c16833, c203])).
% 168.88/169.08 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 168.88/169.08 fof(c336,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 168.88/169.08 fof(c337,axiom,(![X408]:(![X409]:(![X410]:(![X411]:(~cong(X408,X409,X410,X411)|cong(X410,X411,X408,X409)))))),inference(variable_rename,status(thm),[c336])).
% 168.88/169.08 cnf(c338,axiom,~cong(X657,X659,X656,X658)|cong(X656,X658,X657,X659),inference(split_conjunct,status(thm),[c337])).
% 168.88/169.08 fof(ruleD55,axiom,(![A]:(![B]:(![M]:(![O]:((midp(M,A,B)&perp(O,M,A,B))=>cong(O,A,O,B)))))),input).
% 168.88/169.08 fof(c228,axiom,(![A]:(![B]:(![M]:(![O]:((~midp(M,A,B)|~perp(O,M,A,B))|cong(O,A,O,B)))))),inference(fof_nnf,status(thm),[ruleD55])).
% 168.88/169.08 fof(c229,axiom,(![X222]:(![X223]:(![X224]:(![X225]:((~midp(X224,X222,X223)|~perp(X225,X224,X222,X223))|cong(X225,X222,X225,X223)))))),inference(variable_rename,status(thm),[c228])).
% 168.88/169.08 cnf(c230,axiom,~midp(X1002,X1004,X1001)|~perp(X1003,X1002,X1004,X1001)|cong(X1003,X1004,X1003,X1001),inference(split_conjunct,status(thm),[c229])).
% 168.88/169.08 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 168.88/169.08 fof(c395,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 168.88/169.08 fof(c396,axiom,(![X515]:(![X516]:(![X517]:(![X518]:(~para(X515,X516,X517,X518)|para(X517,X518,X515,X516)))))),inference(variable_rename,status(thm),[c395])).
% 168.88/169.08 cnf(c397,axiom,~para(X725,X726,X727,X724)|para(X727,X724,X725,X726),inference(split_conjunct,status(thm),[c396])).
% 168.88/169.08 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 168.88/169.08 fof(c264,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])).
% 168.88/169.09 fof(c265,axiom,(![X269]:(![X270]:(![X271]:(![X272]:(![X273]:((~midp(X272,X269,X270)|~midp(X273,X269,X271))|para(X272,X273,X270,X271))))))),inference(variable_rename,status(thm),[c264])).
% 168.88/169.09 cnf(c266,axiom,~midp(X1050,X1051,X1048)|~midp(X1052,X1051,X1049)|para(X1050,X1052,X1048,X1049),inference(split_conjunct,status(thm),[c265])).
% 168.88/169.09 cnf(c16763,plain,~midp(X7698,X7697,X7695)|para(X7698,X7697,X7695,X7696),inference(resolution,status(thm),[c16699, c266])).
% 168.88/169.09 cnf(c18512,plain,para(X7702,X7702,X7704,X7703),inference(resolution,status(thm),[c16763, c16699])).
% 168.88/169.09 cnf(c18549,plain,para(X7724,X7725,X7723,X7723),inference(resolution,status(thm),[c18512, c397])).
% 168.88/169.09 fof(ruleD10,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)&perp(C,D,E,F))=>perp(A,B,E,F)))))))),input).
% 168.88/169.09 fof(c380,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD10])).
% 168.88/169.09 fof(c381,axiom,(![X489]:(![X490]:(![X491]:(![X492]:(![X493]:(![X494]:((~para(X489,X490,X491,X492)|~perp(X491,X492,X493,X494))|perp(X489,X490,X493,X494)))))))),inference(variable_rename,status(thm),[c380])).
% 168.88/169.09 cnf(c382,axiom,~para(X1252,X1251,X1256,X1253)|~perp(X1256,X1253,X1254,X1255)|perp(X1252,X1251,X1254,X1255),inference(split_conjunct,status(thm),[c381])).
% 168.88/169.09 cnf(c16301,plain,~para(X16661,X16660,X16662,X16662)|perp(X16661,X16660,X16662,X16662),inference(resolution,status(thm),[c16288, c382])).
% 168.88/169.09 cnf(c32138,plain,perp(X16665,X16664,X16663,X16663),inference(resolution,status(thm),[c16301, c18549])).
% 168.88/169.09 cnf(c32146,plain,~midp(X17629,X17628,X17628)|cong(X17630,X17628,X17630,X17628),inference(resolution,status(thm),[c32138, c230])).
% 168.88/169.09 cnf(c33543,plain,cong(X17632,X17631,X17632,X17631),inference(resolution,status(thm),[c32146, c16833])).
% 168.88/169.09 cnf(c33546,plain,~coll(X17646,X17647,X17647)|midp(X17646,X17647,X17647),inference(resolution,status(thm),[c33543, c189])).
% 168.88/169.09 cnf(c33585,plain,midp(X17648,X17649,X17649),inference(resolution,status(thm),[c33546, c14795])).
% 168.88/169.09 cnf(c33737,plain,cong(X17671,X17673,X17672,X17673),inference(resolution,status(thm),[c33585, c16350])).
% 168.88/169.09 cnf(c33798,plain,cong(X17676,X17674,X17674,X17675),inference(resolution,status(thm),[c33737, c341])).
% 168.88/169.09 cnf(c33821,plain,cong(X17687,X17688,X17686,X17687),inference(resolution,status(thm),[c33798, c338])).
% 168.88/169.09 cnf(c33836,plain,cong(X17689,X17690,X17689,X17691),inference(resolution,status(thm),[c33821, c341])).
% 168.88/169.09 cnf(c33850,plain,~coll(X17726,X17728,X17727)|midp(X17726,X17728,X17727),inference(resolution,status(thm),[c33836, c189])).
% 168.88/169.09 cnf(c33875,plain,midp(X17729,X17731,X17730),inference(resolution,status(thm),[c33850, c14795])).
% 168.88/169.09 cnf(c33877,plain,para(X17734,X17732,X17735,X17733),inference(resolution,status(thm),[c33875, c17078])).
% 168.88/169.09 cnf(c33910,plain,$false,inference(resolution,status(thm),[c33877, c24])).
% 168.88/169.09 # SZS output end CNFRefutation
% 168.88/169.09
% 168.88/169.09 # Initial clauses : 136
% 168.88/169.09 # Processed clauses : 4233
% 168.88/169.09 # Factors computed : 0
% 168.88/169.09 # Resolvents computed: 33501
% 168.88/169.09 # Tautologies deleted: 21
% 168.88/169.09 # Forward subsumed : 13017
% 168.88/169.09 # Backward subsumed : 3884
% 168.88/169.09 # -------- CPU Time ---------
% 168.88/169.09 # User time : 168.675 s
% 168.88/169.09 # System time : 0.065 s
% 168.88/169.09 # Total time : 168.740 s
%------------------------------------------------------------------------------