TSTP Solution File: GEO589+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 4.60s 4.78s
% Output : Refutation 4.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 10:41:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.60/4.78 # Version: 1.3
% 4.60/4.78 # SZS status Theorem
% 4.60/4.78 # SZS output start CNFRefutation
% 4.60/4.78 fof(exemplo6GDDFULL416051,conjecture,(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![NWPNT1]:(![NWPNT2]:(((((circle(O,A,B,C)&perp(A,C,B,D))&circle(O,A,D,NWPNT1))&circle(O,D,E,NWPNT2))&coll(E,D,O))=>para(B,E,A,C)))))))))),input).
% 4.60/4.78 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![D]:(![E]:(![NWPNT1]:(![NWPNT2]:(((((circle(O,A,B,C)&perp(A,C,B,D))&circle(O,A,D,NWPNT1))&circle(O,D,E,NWPNT2))&coll(E,D,O))=>para(B,E,A,C))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL416051])).
% 4.60/4.78 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(?[NWPNT1]:(?[NWPNT2]:(((((circle(O,A,B,C)&perp(A,C,B,D))&circle(O,A,D,NWPNT1))&circle(O,D,E,NWPNT2))&coll(E,D,O))&~para(B,E,A,C)))))))))),inference(fof_nnf,status(thm),[c11])).
% 4.60/4.78 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[E]:(((((circle(O,A,B,C)&perp(A,C,B,D))&(?[NWPNT1]:circle(O,A,D,NWPNT1)))&(?[NWPNT2]:circle(O,D,E,NWPNT2)))&coll(E,D,O))&~para(B,E,A,C)))))))),inference(shift_quantors,status(thm),[c12])).
% 4.60/4.78 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(((((circle(X5,X2,X3,X4)&perp(X2,X4,X3,X6))&(?[X8]:circle(X5,X2,X6,X8)))&(?[X9]:circle(X5,X6,X7,X9)))&coll(X7,X6,X5))&~para(X3,X7,X2,X4)))))))),inference(variable_rename,status(thm),[c13])).
% 4.60/4.78 fof(c15,negated_conjecture,(((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&perp(skolem0001,skolem0003,skolem0002,skolem0005))&circle(skolem0004,skolem0001,skolem0005,skolem0007))&circle(skolem0004,skolem0005,skolem0006,skolem0008))&coll(skolem0006,skolem0005,skolem0004))&~para(skolem0002,skolem0006,skolem0001,skolem0003)),inference(skolemize,status(esa),[c14])).
% 4.60/4.78 cnf(c21,negated_conjecture,~para(skolem0002,skolem0006,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 4.60/4.78 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c262,axiom,(![X267]:(![X268]:(![X269]:(![X270]:(![X271]:((~midp(X270,X267,X268)|~midp(X271,X267,X269))|para(X270,X271,X268,X269))))))),inference(variable_rename,status(thm),[c261])).
% 4.60/4.78 cnf(c263,axiom,~midp(X902,X901,X898)|~midp(X899,X901,X900)|para(X902,X899,X898,X900),inference(split_conjunct,status(thm),[c262])).
% 4.60/4.78 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 4.60/4.78 fof(c404,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 4.60/4.78 fof(c405,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c404])).
% 4.60/4.78 cnf(c406,axiom,~coll(X564,X565,X563)|coll(X564,X563,X565),inference(split_conjunct,status(thm),[c405])).
% 4.60/4.78 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 4.60/4.78 fof(c401,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 4.60/4.78 fof(c402,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c401])).
% 4.60/4.78 cnf(c403,axiom,~coll(X553,X554,X552)|coll(X554,X553,X552),inference(split_conjunct,status(thm),[c402])).
% 4.60/4.78 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 4.60/4.78 fof(c187,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 4.60/4.78 fof(c188,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c187])).
% 4.60/4.78 cnf(c189,axiom,~para(X585,X584,X585,X583)|coll(X585,X584,X583),inference(split_conjunct,status(thm),[c188])).
% 4.60/4.78 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c287,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(c286,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),[c285])).])).
% 4.60/4.78 cnf(c288,axiom,~eqangle(X917,X922,X918,X920,X921,X919,X918,X920)|para(X917,X922,X921,X919),inference(split_conjunct,status(thm),[c287])).
% 4.60/4.78 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c282,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(c281,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),[c280])).])).
% 4.60/4.78 cnf(c283,axiom,~para(X914,X912,X916,X911)|eqangle(X914,X912,X915,X913,X916,X911,X915,X913),inference(split_conjunct,status(thm),[c282])).
% 4.60/4.78 fof(ruleD7,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(A,B,D,C)))))),input).
% 4.60/4.78 fof(c386,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD7])).
% 4.60/4.78 fof(c387,axiom,(![X503]:(![X504]:(![X505]:(![X506]:(~perp(X503,X504,X505,X506)|perp(X503,X504,X506,X505)))))),inference(variable_rename,status(thm),[c386])).
% 4.60/4.78 cnf(c388,axiom,~perp(X627,X628,X626,X629)|perp(X627,X628,X629,X626),inference(split_conjunct,status(thm),[c387])).
% 4.60/4.78 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 4.60/4.78 fof(c383,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 4.60/4.78 fof(c384,axiom,(![X499]:(![X500]:(![X501]:(![X502]:(~perp(X499,X500,X501,X502)|perp(X501,X502,X499,X500)))))),inference(variable_rename,status(thm),[c383])).
% 4.60/4.78 cnf(c385,axiom,~perp(X615,X616,X614,X617)|perp(X614,X617,X615,X616),inference(split_conjunct,status(thm),[c384])).
% 4.60/4.78 cnf(c17,negated_conjecture,perp(skolem0001,skolem0003,skolem0002,skolem0005),inference(split_conjunct,status(thm),[c15])).
% 4.60/4.78 cnf(c435,plain,perp(skolem0001,skolem0003,skolem0005,skolem0002),inference(resolution,status(thm),[c388, c17])).
% 4.60/4.78 cnf(c439,plain,perp(skolem0005,skolem0002,skolem0001,skolem0003),inference(resolution,status(thm),[c435, c385])).
% 4.60/4.78 cnf(c447,plain,perp(skolem0005,skolem0002,skolem0003,skolem0001),inference(resolution,status(thm),[c439, c388])).
% 4.60/4.78 cnf(c428,plain,perp(skolem0002,skolem0005,skolem0001,skolem0003),inference(resolution,status(thm),[c385, c17])).
% 4.60/4.78 cnf(c434,plain,perp(skolem0002,skolem0005,skolem0003,skolem0001),inference(resolution,status(thm),[c388, c428])).
% 4.60/4.78 cnf(c436,plain,perp(skolem0003,skolem0001,skolem0002,skolem0005),inference(resolution,status(thm),[c434, c385])).
% 4.60/4.78 cnf(c444,plain,perp(skolem0003,skolem0001,skolem0005,skolem0002),inference(resolution,status(thm),[c436, c388])).
% 4.60/4.78 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).
% 4.60/4.78 fof(c380,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])).
% 4.60/4.78 fof(c381,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),[c380])).
% 4.60/4.78 cnf(c382,axiom,~perp(X1045,X1047,X1046,X1048)|~perp(X1046,X1048,X1044,X1049)|para(X1045,X1047,X1044,X1049),inference(split_conjunct,status(thm),[c381])).
% 4.60/4.78 cnf(c706,plain,~perp(X1051,X1050,skolem0003,skolem0001)|para(X1051,X1050,skolem0005,skolem0002),inference(resolution,status(thm),[c382, c444])).
% 4.60/4.78 cnf(c714,plain,para(skolem0005,skolem0002,skolem0005,skolem0002),inference(resolution,status(thm),[c706, c447])).
% 4.60/4.78 cnf(c718,plain,eqangle(skolem0005,skolem0002,X1167,X1166,skolem0005,skolem0002,X1167,X1166),inference(resolution,status(thm),[c714, c283])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c349,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),[c348])).
% 4.60/4.78 cnf(c350,axiom,~eqangle(X1283,X1276,X1281,X1280,X1277,X1278,X1282,X1279)|eqangle(X1281,X1280,X1283,X1276,X1282,X1279,X1277,X1278),inference(split_conjunct,status(thm),[c349])).
% 4.60/4.78 cnf(c1081,plain,eqangle(X1443,X1444,skolem0005,skolem0002,X1443,X1444,skolem0005,skolem0002),inference(resolution,status(thm),[c350, c718])).
% 4.60/4.78 cnf(c1312,plain,para(X1449,X1448,X1449,X1448),inference(resolution,status(thm),[c1081, c288])).
% 4.60/4.78 cnf(c1323,plain,coll(X1451,X1450,X1450),inference(resolution,status(thm),[c1312, c189])).
% 4.60/4.78 cnf(c1361,plain,coll(X1453,X1452,X1453),inference(resolution,status(thm),[c1323, c403])).
% 4.60/4.78 cnf(c1421,plain,coll(X1461,X1461,X1462),inference(resolution,status(thm),[c1361, c406])).
% 4.60/4.78 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c399,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c398])).
% 4.60/4.78 cnf(c400,axiom,~coll(X687,X684,X685)|~coll(X687,X684,X686)|coll(X685,X686,X687),inference(split_conjunct,status(thm),[c399])).
% 4.60/4.78 cnf(c1457,plain,~coll(X1711,X1711,X1710)|coll(X1710,X1712,X1711),inference(resolution,status(thm),[c1421, c400])).
% 4.60/4.78 cnf(c2031,plain,coll(X1715,X1717,X1716),inference(resolution,status(thm),[c1457, c1421])).
% 4.60/4.78 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c185,axiom,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,status(thm),[c184])).
% 4.60/4.78 cnf(c186,axiom,~cong(X887,X888,X887,X889)|~coll(X887,X888,X889)|midp(X887,X888,X889),inference(split_conjunct,status(thm),[c185])).
% 4.60/4.78 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 4.60/4.78 fof(c336,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 4.60/4.78 fof(c337,axiom,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,status(thm),[c336])).
% 4.60/4.78 cnf(c338,axiom,~cong(X590,X592,X591,X593)|cong(X590,X592,X593,X591),inference(split_conjunct,status(thm),[c337])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c270,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),[c269])).
% 4.60/4.78 cnf(c271,axiom,~eqangle(X1164,X1165,X1164,X1163,X1162,X1165,X1162,X1163)|~coll(X1164,X1162,X1163)|cyclic(X1165,X1163,X1164,X1162),inference(split_conjunct,status(thm),[c270])).
% 4.60/4.78 cnf(c1335,plain,eqangle(X1623,X1622,X1621,X1620,X1623,X1622,X1621,X1620),inference(resolution,status(thm),[c1312, c283])).
% 4.60/4.78 cnf(c1899,plain,~coll(X1932,X1932,X1931)|cyclic(X1930,X1931,X1932,X1932),inference(resolution,status(thm),[c1335, c271])).
% 4.60/4.78 cnf(c2182,plain,cyclic(X1934,X1935,X1933,X1933),inference(resolution,status(thm),[c1899, c2031])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 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])).
% 4.60/4.78 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(shift_quantors,status(thm),[fof(c266,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),[c265])).])).
% 4.60/4.78 cnf(c268,axiom,~cyclic(X1160,X1156,X1158,X1157)|~cyclic(X1160,X1156,X1158,X1161)|~cyclic(X1160,X1156,X1158,X1159)|~eqangle(X1158,X1160,X1158,X1156,X1159,X1157,X1159,X1161)|cong(X1160,X1156,X1157,X1161),inference(split_conjunct,status(thm),[c267])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c343,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),[c342])).
% 4.60/4.78 cnf(c344,axiom,~eqangle(X1261,X1258,X1263,X1265,X1262,X1264,X1259,X1260)|eqangle(X1261,X1258,X1262,X1264,X1263,X1265,X1259,X1260),inference(split_conjunct,status(thm),[c343])).
% 4.60/4.78 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 4.60/4.78 fof(c395,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 4.60/4.78 fof(c396,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c395])).
% 4.60/4.78 cnf(c397,axiom,~para(X675,X674,X677,X676)|para(X675,X674,X676,X677),inference(split_conjunct,status(thm),[c396])).
% 4.60/4.78 cnf(c1344,plain,para(X1469,X1470,X1470,X1469),inference(resolution,status(thm),[c1312, c397])).
% 4.60/4.78 cnf(c1482,plain,eqangle(X1774,X1775,X1773,X1772,X1775,X1774,X1773,X1772),inference(resolution,status(thm),[c1344, c283])).
% 4.60/4.78 cnf(c2085,plain,eqangle(X1803,X1801,X1800,X1802,X1803,X1801,X1802,X1800),inference(resolution,status(thm),[c1482, c350])).
% 4.60/4.78 cnf(c2119,plain,eqangle(X1851,X1853,X1851,X1853,X1852,X1850,X1850,X1852),inference(resolution,status(thm),[c2085, c344])).
% 4.60/4.78 cnf(c2165,plain,~cyclic(X2837,X2837,X2839,X2838)|cong(X2837,X2837,X2838,X2838),inference(resolution,status(thm),[c2119, c268])).
% 4.60/4.78 cnf(c3046,plain,cong(X2840,X2840,X2841,X2841),inference(resolution,status(thm),[c2165, c2182])).
% 4.60/4.78 cnf(c3054,plain,~coll(X2857,X2857,X2857)|midp(X2857,X2857,X2857),inference(resolution,status(thm),[c3046, c186])).
% 4.60/4.78 cnf(c3065,plain,midp(X2858,X2858,X2858),inference(resolution,status(thm),[c3054, c2031])).
% 4.60/4.78 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c237,axiom,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,status(thm),[c236])).
% 4.60/4.78 cnf(c238,axiom,~perp(X975,X978,X978,X977)|~midp(X976,X975,X977)|cong(X975,X976,X978,X976),inference(split_conjunct,status(thm),[c237])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 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])).
% 4.60/4.78 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(shift_quantors,status(thm),[fof(c159,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),[c158])).])).
% 4.60/4.78 cnf(c161,axiom,~eqangle(X1069,X1073,X1071,X1072,X1070,X1075,X1068,X1074)|~perp(X1070,X1075,X1068,X1074)|perp(X1069,X1073,X1071,X1072),inference(split_conjunct,status(thm),[c160])).
% 4.60/4.78 cnf(c2090,plain,eqangle(X1817,X1815,X1815,X1817,X1814,X1816,X1814,X1816),inference(resolution,status(thm),[c1482, c344])).
% 4.60/4.78 cnf(c2136,plain,~perp(X2786,X2785,X2786,X2785)|perp(X2784,X2783,X2783,X2784),inference(resolution,status(thm),[c2090, c161])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c220,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),[c219])).
% 4.60/4.78 cnf(c221,axiom,~cong(X1122,X1120,X1123,X1120)|~cong(X1122,X1121,X1123,X1121)|~cyclic(X1122,X1123,X1120,X1121)|perp(X1120,X1122,X1122,X1121),inference(split_conjunct,status(thm),[c220])).
% 4.60/4.78 cnf(c2188,plain,~cong(X2894,X2895,X2896,X2895)|perp(X2895,X2894,X2894,X2895),inference(resolution,status(thm),[c2182, c221])).
% 4.60/4.78 cnf(c3077,plain,perp(X2897,X2897,X2897,X2897),inference(resolution,status(thm),[c2188, c3046])).
% 4.60/4.78 cnf(c3083,plain,perp(X2907,X2906,X2906,X2907),inference(resolution,status(thm),[c3077, c2136])).
% 4.60/4.78 cnf(c3145,plain,~midp(X2993,X2991,X2991)|cong(X2991,X2993,X2992,X2993),inference(resolution,status(thm),[c3083, c238])).
% 4.60/4.78 cnf(c3276,plain,cong(X2998,X2998,X2999,X2998),inference(resolution,status(thm),[c3145, c3065])).
% 4.60/4.78 cnf(c3281,plain,cong(X3001,X3001,X3001,X3000),inference(resolution,status(thm),[c3276, c338])).
% 4.60/4.78 cnf(c3291,plain,~coll(X3065,X3065,X3064)|midp(X3065,X3065,X3064),inference(resolution,status(thm),[c3281, c186])).
% 4.60/4.78 cnf(c3401,plain,midp(X3069,X3069,X3070),inference(resolution,status(thm),[c3291, c2031])).
% 4.60/4.78 cnf(c3414,plain,~midp(X5973,X5970,X5972)|para(X5973,X5970,X5972,X5971),inference(resolution,status(thm),[c3401, c263])).
% 4.60/4.78 fof(ruleD24,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(C,D,A,B)))))),input).
% 4.60/4.78 fof(c333,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD24])).
% 4.60/4.78 fof(c334,axiom,(![X406]:(![X407]:(![X408]:(![X409]:(~cong(X406,X407,X408,X409)|cong(X408,X409,X406,X407)))))),inference(variable_rename,status(thm),[c333])).
% 4.60/4.78 cnf(c335,axiom,~cong(X586,X589,X588,X587)|cong(X588,X587,X586,X589),inference(split_conjunct,status(thm),[c334])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c165,axiom,(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:(![X138]:(![X139]:(![X140]:((~eqangle(X133,X134,X135,X136,X137,X138,X139,X140)|~para(X137,X138,X139,X140))|para(X133,X134,X135,X136)))))))))),inference(shift_quantors,status(thm),[fof(c164,axiom,(![X133]:(![X134]:(![X135]:(![X136]:((![X137]:(![X138]:(![X139]:(![X140]:(~eqangle(X133,X134,X135,X136,X137,X138,X139,X140)|~para(X137,X138,X139,X140))))))|para(X133,X134,X135,X136)))))),inference(variable_rename,status(thm),[c163])).])).
% 4.60/4.78 cnf(c166,axiom,~eqangle(X1082,X1076,X1077,X1079,X1081,X1080,X1083,X1078)|~para(X1081,X1080,X1083,X1078)|para(X1082,X1076,X1077,X1079),inference(split_conjunct,status(thm),[c165])).
% 4.60/4.78 cnf(c2084,plain,~para(X2709,X2708,X2710,X2711)|para(X2708,X2709,X2710,X2711),inference(resolution,status(thm),[c1482, c166])).
% 4.60/4.78 fof(ruleD11,axiom,(![A]:(![B]:(![M]:(midp(M,B,A)=>midp(M,A,B))))),input).
% 4.60/4.78 fof(c374,axiom,(![A]:(![B]:(![M]:(~midp(M,B,A)|midp(M,A,B))))),inference(fof_nnf,status(thm),[ruleD11])).
% 4.60/4.78 fof(c375,axiom,(![X484]:(![X485]:(![X486]:(~midp(X486,X485,X484)|midp(X486,X484,X485))))),inference(variable_rename,status(thm),[c374])).
% 4.60/4.78 cnf(c376,axiom,~midp(X549,X550,X551)|midp(X549,X551,X550),inference(split_conjunct,status(thm),[c375])).
% 4.60/4.78 cnf(c3415,plain,midp(X3072,X3071,X3072),inference(resolution,status(thm),[c3401, c376])).
% 4.60/4.78 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 4.60/4.78 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])).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c199,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(c198,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c197])).])).
% 4.60/4.78 cnf(c200,axiom,~midp(X894,X892,X890)|~midp(X894,X893,X891)|para(X892,X893,X890,X891),inference(split_conjunct,status(thm),[c199])).
% 4.60/4.78 cnf(c3402,plain,~midp(X3982,X3980,X3979)|para(X3980,X3982,X3979,X3981),inference(resolution,status(thm),[c3401, c200])).
% 4.60/4.78 cnf(c4373,plain,para(X3988,X3986,X3986,X3987),inference(resolution,status(thm),[c3402, c3415])).
% 4.60/4.78 cnf(c4403,plain,para(X4009,X4011,X4009,X4010),inference(resolution,status(thm),[c4373, c2084])).
% 4.60/4.78 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).
% 4.60/4.78 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])).
% 4.60/4.78 fof(c194,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),[c193])).
% 4.60/4.78 cnf(c195,axiom,~midp(X1106,X1104,X1103)|~para(X1104,X1107,X1103,X1105)|~para(X1104,X1105,X1103,X1107)|midp(X1106,X1107,X1105),inference(split_conjunct,status(thm),[c194])).
% 4.60/4.78 cnf(c1342,plain,~midp(X6000,X5998,X5998)|~para(X5998,X5999,X5998,X5999)|midp(X6000,X5999,X5999),inference(resolution,status(thm),[c1312, c195])).
% 4.60/4.78 cnf(c6144,plain,~midp(X6007,X6005,X6005)|midp(X6007,X6006,X6006),inference(resolution,status(thm),[c1342, c4403])).
% 4.60/4.78 cnf(c6148,plain,midp(X6008,X6009,X6009),inference(resolution,status(thm),[c6144, c3401])).
% 4.60/4.78 cnf(c6159,plain,cong(X6028,X6029,X6030,X6029),inference(resolution,status(thm),[c6148, c3145])).
% 4.60/4.78 cnf(c6166,plain,cong(X6040,X6041,X6041,X6039),inference(resolution,status(thm),[c6159, c338])).
% 4.60/4.78 cnf(c6180,plain,cong(X6050,X6049,X6048,X6050),inference(resolution,status(thm),[c6166, c335])).
% 4.60/4.78 cnf(c6186,plain,cong(X6058,X6056,X6058,X6057),inference(resolution,status(thm),[c6180, c338])).
% 4.60/4.78 cnf(c6194,plain,~coll(X6107,X6108,X6106)|midp(X6107,X6108,X6106),inference(resolution,status(thm),[c6186, c186])).
% 4.60/4.78 cnf(c6235,plain,midp(X6109,X6110,X6111),inference(resolution,status(thm),[c6194, c2031])).
% 4.60/4.78 cnf(c6239,plain,para(X6114,X6115,X6113,X6112),inference(resolution,status(thm),[c6235, c3414])).
% 4.60/4.78 cnf(c6258,plain,$false,inference(resolution,status(thm),[c6239, c21])).
% 4.60/4.78 # SZS output end CNFRefutation
% 4.60/4.78
% 4.60/4.78 # Initial clauses : 133
% 4.60/4.78 # Processed clauses : 821
% 4.60/4.78 # Factors computed : 0
% 4.60/4.78 # Resolvents computed: 5853
% 4.60/4.78 # Tautologies deleted: 21
% 4.60/4.78 # Forward subsumed : 2150
% 4.60/4.78 # Backward subsumed : 521
% 4.60/4.78 # -------- CPU Time ---------
% 4.60/4.78 # User time : 4.418 s
% 4.60/4.78 # System time : 0.024 s
% 4.60/4.78 # Total time : 4.442 s
%------------------------------------------------------------------------------