TSTP Solution File: GEO641+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO641+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 06:01:17 EDT 2022
% Result : Theorem 135.23s 135.48s
% Output : Refutation 135.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO641+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n005.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 02:04:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 135.23/135.48 # Version: 1.3
% 135.23/135.48 # SZS status Theorem
% 135.23/135.48 # SZS output start CNFRefutation
% 135.23/135.48 fof(exemplo6GDDFULL81109107,conjecture,(![A]:(![B]:(![C]:(![O]:(![D]:(![U]:(![V]:(![NWPNT1]:((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V))=>para(U,V,B,C)))))))))),input).
% 135.23/135.48 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![O]:(![D]:(![U]:(![V]:(![NWPNT1]:((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V))=>para(U,V,B,C))))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL81109107])).
% 135.23/135.48 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[U]:(?[V]:(?[NWPNT1]:((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V))&~para(U,V,B,C)))))))))),inference(fof_nnf,status(thm),[c11])).
% 135.23/135.48 fof(c13,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[O]:(?[D]:(?[U]:(?[V]:((((((((circle(O,A,B,C)&(?[NWPNT1]:circle(O,A,D,NWPNT1)))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V))&~para(U,V,B,C))))))))),inference(shift_quantors,status(thm),[c12])).
% 135.23/135.48 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,X6,X7))&perp(X2,X6,X3,X7))&perp(X3,X6,X2,X7))&perp(X2,X4,X6,X8))&perp(X2,X6,X4,X8))&perp(X4,X6,X2,X8))&~para(X7,X8,X3,X4))))))))),inference(variable_rename,status(thm),[c13])).
% 135.23/135.48 fof(c15,negated_conjecture,((((((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&circle(skolem0004,skolem0001,skolem0005,skolem0008))&perp(skolem0001,skolem0002,skolem0005,skolem0006))&perp(skolem0001,skolem0005,skolem0002,skolem0006))&perp(skolem0002,skolem0005,skolem0001,skolem0006))&perp(skolem0001,skolem0003,skolem0005,skolem0007))&perp(skolem0001,skolem0005,skolem0003,skolem0007))&perp(skolem0003,skolem0005,skolem0001,skolem0007))&~para(skolem0006,skolem0007,skolem0002,skolem0003)),inference(skolemize,status(esa),[c14])).
% 135.23/135.48 cnf(c24,negated_conjecture,~para(skolem0006,skolem0007,skolem0002,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 135.23/135.48 fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 135.23/135.48 fof(c395,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 135.23/135.48 fof(c396,axiom,(![X513]:(![X514]:(![X515]:(![X516]:(~para(X513,X514,X515,X516)|para(X515,X516,X513,X514)))))),inference(variable_rename,status(thm),[c395])).
% 135.23/135.48 cnf(c397,axiom,~para(X756,X757,X755,X754)|para(X755,X754,X756,X757),inference(split_conjunct,status(thm),[c396])).
% 135.23/135.48 fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 135.23/135.48 fof(c407,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 135.23/135.48 fof(c408,axiom,(![X528]:(![X529]:(![X530]:(~coll(X528,X529,X530)|coll(X528,X530,X529))))),inference(variable_rename,status(thm),[c407])).
% 135.23/135.48 cnf(c409,axiom,~coll(X565,X563,X564)|coll(X565,X564,X563),inference(split_conjunct,status(thm),[c408])).
% 135.23/135.48 fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 135.23/135.48 fof(c404,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 135.23/135.48 fof(c405,axiom,(![X525]:(![X526]:(![X527]:(~coll(X525,X526,X527)|coll(X526,X525,X527))))),inference(variable_rename,status(thm),[c404])).
% 135.23/135.48 cnf(c406,axiom,~coll(X561,X560,X562)|coll(X560,X561,X562),inference(split_conjunct,status(thm),[c405])).
% 135.23/135.48 fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 135.23/135.48 fof(c190,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 135.23/135.48 fof(c191,axiom,(![X164]:(![X165]:(![X166]:(~para(X164,X165,X164,X166)|coll(X164,X165,X166))))),inference(variable_rename,status(thm),[c190])).
% 135.23/135.48 cnf(c192,axiom,~para(X571,X570,X571,X569)|coll(X571,X570,X569),inference(split_conjunct,status(thm),[c191])).
% 135.23/135.48 fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c290,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(c289,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),[c288])).])).
% 135.23/135.48 cnf(c291,axiom,~eqangle(X813,X809,X810,X811,X808,X812,X810,X811)|para(X813,X809,X808,X812),inference(split_conjunct,status(thm),[c290])).
% 135.23/135.48 fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c285,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(c284,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),[c283])).])).
% 135.23/135.48 cnf(c286,axiom,~para(X803,X806,X802,X805)|eqangle(X803,X806,X807,X804,X802,X805,X807,X804),inference(split_conjunct,status(thm),[c285])).
% 135.23/135.48 cnf(c23,negated_conjecture,perp(skolem0003,skolem0005,skolem0001,skolem0007),inference(split_conjunct,status(thm),[c15])).
% 135.23/135.48 fof(ruleD8,axiom,(![A]:(![B]:(![C]:(![D]:(perp(A,B,C,D)=>perp(C,D,A,B)))))),input).
% 135.23/135.48 fof(c386,axiom,(![A]:(![B]:(![C]:(![D]:(~perp(A,B,C,D)|perp(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD8])).
% 135.23/135.48 fof(c387,axiom,(![X499]:(![X500]:(![X501]:(![X502]:(~perp(X499,X500,X501,X502)|perp(X501,X502,X499,X500)))))),inference(variable_rename,status(thm),[c386])).
% 135.23/135.48 cnf(c388,axiom,~perp(X603,X602,X601,X600)|perp(X601,X600,X603,X602),inference(split_conjunct,status(thm),[c387])).
% 135.23/135.48 cnf(c421,plain,perp(skolem0001,skolem0007,skolem0003,skolem0005),inference(resolution,status(thm),[c388, c23])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c384,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),[c383])).
% 135.23/135.48 cnf(c385,axiom,~perp(X1067,X1064,X1068,X1063)|~perp(X1068,X1063,X1066,X1065)|para(X1067,X1064,X1066,X1065),inference(split_conjunct,status(thm),[c384])).
% 135.23/135.48 cnf(c853,plain,~perp(X1177,X1176,skolem0003,skolem0005)|para(X1177,X1176,skolem0001,skolem0007),inference(resolution,status(thm),[c385, c23])).
% 135.23/135.48 cnf(c1052,plain,para(skolem0001,skolem0007,skolem0001,skolem0007),inference(resolution,status(thm),[c853, c421])).
% 135.23/135.48 cnf(c1063,plain,eqangle(skolem0001,skolem0007,X1238,X1237,skolem0001,skolem0007,X1238,X1237),inference(resolution,status(thm),[c1052, c286])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c352,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),[c351])).
% 135.23/135.48 cnf(c353,axiom,~eqangle(X1357,X1358,X1363,X1356,X1362,X1359,X1361,X1360)|eqangle(X1363,X1356,X1357,X1358,X1361,X1360,X1362,X1359),inference(split_conjunct,status(thm),[c352])).
% 135.23/135.48 cnf(c1350,plain,eqangle(X1450,X1449,skolem0001,skolem0007,X1450,X1449,skolem0001,skolem0007),inference(resolution,status(thm),[c353, c1063])).
% 135.23/135.48 cnf(c1534,plain,para(X1451,X1452,X1451,X1452),inference(resolution,status(thm),[c1350, c291])).
% 135.23/135.48 cnf(c1582,plain,coll(X1454,X1453,X1453),inference(resolution,status(thm),[c1534, c192])).
% 135.23/135.48 cnf(c1631,plain,coll(X1461,X1462,X1461),inference(resolution,status(thm),[c1582, c406])).
% 135.23/135.48 cnf(c1645,plain,coll(X1464,X1464,X1463),inference(resolution,status(thm),[c1631, c409])).
% 135.23/135.48 fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c402,axiom,(![X521]:(![X522]:(![X523]:(![X524]:((~coll(X521,X522,X523)|~coll(X521,X522,X524))|coll(X523,X524,X521)))))),inference(variable_rename,status(thm),[c401])).
% 135.23/135.48 cnf(c403,axiom,~coll(X775,X774,X776)|~coll(X775,X774,X777)|coll(X776,X777,X775),inference(split_conjunct,status(thm),[c402])).
% 135.23/135.48 cnf(c1658,plain,~coll(X1699,X1699,X1698)|coll(X1698,X1700,X1699),inference(resolution,status(thm),[c1645, c403])).
% 135.23/135.48 cnf(c1930,plain,coll(X1705,X1706,X1707),inference(resolution,status(thm),[c1658, c1645])).
% 135.23/135.48 fof(ruleD67,axiom,(![A]:(![B]:(![C]:((cong(A,B,A,C)&coll(A,B,C))=>midp(A,B,C))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c188,axiom,(![X161]:(![X162]:(![X163]:((~cong(X161,X162,X161,X163)|~coll(X161,X162,X163))|midp(X161,X162,X163))))),inference(variable_rename,status(thm),[c187])).
% 135.23/135.48 cnf(c189,axiom,~cong(X780,X779,X780,X778)|~coll(X780,X779,X778)|midp(X780,X779,X778),inference(split_conjunct,status(thm),[c188])).
% 135.23/135.48 fof(ruleD23,axiom,(![A]:(![B]:(![C]:(![D]:(cong(A,B,C,D)=>cong(A,B,D,C)))))),input).
% 135.23/135.48 fof(c339,axiom,(![A]:(![B]:(![C]:(![D]:(~cong(A,B,C,D)|cong(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD23])).
% 135.23/135.48 fof(c340,axiom,(![X410]:(![X411]:(![X412]:(![X413]:(~cong(X410,X411,X412,X413)|cong(X410,X411,X413,X412)))))),inference(variable_rename,status(thm),[c339])).
% 135.23/135.48 cnf(c341,axiom,~cong(X585,X586,X587,X584)|cong(X585,X586,X584,X587),inference(split_conjunct,status(thm),[c340])).
% 135.23/135.48 fof(ruleD14,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,B,D,C)))))),input).
% 135.23/135.48 fof(c366,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD14])).
% 135.23/135.48 fof(c367,axiom,(![X471]:(![X472]:(![X473]:(![X474]:(~cyclic(X471,X472,X473,X474)|cyclic(X471,X472,X474,X473)))))),inference(variable_rename,status(thm),[c366])).
% 135.23/135.48 cnf(c368,axiom,~cyclic(X598,X596,X599,X597)|cyclic(X598,X596,X597,X599),inference(split_conjunct,status(thm),[c367])).
% 135.23/135.48 fof(ruleD15,axiom,(![A]:(![B]:(![C]:(![D]:(cyclic(A,B,C,D)=>cyclic(A,C,B,D)))))),input).
% 135.23/135.48 fof(c363,axiom,(![A]:(![B]:(![C]:(![D]:(~cyclic(A,B,C,D)|cyclic(A,C,B,D)))))),inference(fof_nnf,status(thm),[ruleD15])).
% 135.23/135.48 fof(c364,axiom,(![X467]:(![X468]:(![X469]:(![X470]:(~cyclic(X467,X468,X469,X470)|cyclic(X467,X469,X468,X470)))))),inference(variable_rename,status(thm),[c363])).
% 135.23/135.48 cnf(c365,axiom,~cyclic(X595,X594,X592,X593)|cyclic(X595,X592,X594,X593),inference(split_conjunct,status(thm),[c364])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c273,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),[c272])).
% 135.23/135.48 cnf(c274,axiom,~eqangle(X1241,X1243,X1241,X1240,X1242,X1243,X1242,X1240)|~coll(X1241,X1242,X1240)|cyclic(X1243,X1240,X1241,X1242),inference(split_conjunct,status(thm),[c273])).
% 135.23/135.48 cnf(c1603,plain,eqangle(X1641,X1638,X1639,X1640,X1641,X1638,X1639,X1640),inference(resolution,status(thm),[c1534, c286])).
% 135.23/135.48 cnf(c1885,plain,~coll(X1900,X1900,X1899)|cyclic(X1898,X1899,X1900,X1900),inference(resolution,status(thm),[c1603, c274])).
% 135.23/135.48 cnf(c2068,plain,cyclic(X1903,X1902,X1901,X1901),inference(resolution,status(thm),[c1885, c1930])).
% 135.23/135.48 cnf(c2071,plain,cyclic(X1909,X1908,X1907,X1908),inference(resolution,status(thm),[c2068, c365])).
% 135.23/135.48 cnf(c2078,plain,cyclic(X1915,X1913,X1913,X1914),inference(resolution,status(thm),[c2071, c368])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c270,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(c269,axiom,(![X272]:(![X273]:(![X274]:(![X275]:(![X276]:((![X277]:(((~cyclic(X272,X273,X274,X275)|~cyclic(X272,X273,X274,X276))|~cyclic(X272,X273,X274,X277))|~eqangle(X274,X272,X274,X273,X277,X275,X277,X276)))|cong(X272,X273,X275,X276))))))),inference(variable_rename,status(thm),[c268])).])).
% 135.23/135.48 cnf(c271,axiom,~cyclic(X1234,X1233,X1235,X1232)|~cyclic(X1234,X1233,X1235,X1231)|~cyclic(X1234,X1233,X1235,X1236)|~eqangle(X1235,X1234,X1235,X1233,X1236,X1232,X1236,X1231)|cong(X1234,X1233,X1232,X1231),inference(split_conjunct,status(thm),[c270])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c346,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),[c345])).
% 135.23/135.48 cnf(c347,axiom,~eqangle(X1339,X1344,X1342,X1340,X1338,X1343,X1337,X1341)|eqangle(X1339,X1344,X1338,X1343,X1342,X1340,X1337,X1341),inference(split_conjunct,status(thm),[c346])).
% 135.23/135.48 fof(ruleD4,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(A,B,D,C)))))),input).
% 135.23/135.48 fof(c398,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(A,B,D,C)))))),inference(fof_nnf,status(thm),[ruleD4])).
% 135.23/135.48 fof(c399,axiom,(![X517]:(![X518]:(![X519]:(![X520]:(~para(X517,X518,X519,X520)|para(X517,X518,X520,X519)))))),inference(variable_rename,status(thm),[c398])).
% 135.23/135.48 cnf(c400,axiom,~para(X758,X759,X760,X761)|para(X758,X759,X761,X760),inference(split_conjunct,status(thm),[c399])).
% 135.23/135.48 cnf(c1607,plain,para(X1478,X1477,X1477,X1478),inference(resolution,status(thm),[c1534, c400])).
% 135.23/135.48 cnf(c1725,plain,eqangle(X1748,X1751,X1749,X1750,X1751,X1748,X1749,X1750),inference(resolution,status(thm),[c1607, c286])).
% 135.23/135.48 cnf(c1980,plain,eqangle(X1783,X1780,X1781,X1782,X1783,X1780,X1782,X1781),inference(resolution,status(thm),[c1725, c353])).
% 135.23/135.48 cnf(c2011,plain,eqangle(X1825,X1823,X1825,X1823,X1822,X1824,X1824,X1822),inference(resolution,status(thm),[c1980, c347])).
% 135.23/135.48 cnf(c2040,plain,~cyclic(X2574,X2574,X2575,X2576)|cong(X2574,X2574,X2576,X2576),inference(resolution,status(thm),[c2011, c271])).
% 135.23/135.48 cnf(c2669,plain,cong(X2577,X2577,X2578,X2578),inference(resolution,status(thm),[c2040, c2078])).
% 135.23/135.48 cnf(c2679,plain,~coll(X2591,X2591,X2591)|midp(X2591,X2591,X2591),inference(resolution,status(thm),[c2669, c189])).
% 135.23/135.48 cnf(c2686,plain,midp(X2592,X2592,X2592),inference(resolution,status(thm),[c2679, c1930])).
% 135.23/135.48 fof(ruleD52,axiom,(![A]:(![B]:(![C]:(![M]:((perp(A,B,B,C)&midp(M,A,C))=>cong(A,M,B,M)))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c240,axiom,(![X232]:(![X233]:(![X234]:(![X235]:((~perp(X232,X233,X233,X234)|~midp(X235,X232,X234))|cong(X232,X235,X233,X235)))))),inference(variable_rename,status(thm),[c239])).
% 135.23/135.48 cnf(c241,axiom,~perp(X866,X868,X868,X869)|~midp(X867,X866,X869)|cong(X866,X867,X868,X867),inference(split_conjunct,status(thm),[c240])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c163,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(c162,axiom,(![X125]:(![X126]:(![X127]:(![X128]:((![X129]:(![X130]:(![X131]:(![X132]:(~eqangle(X125,X126,X127,X128,X129,X130,X131,X132)|~perp(X129,X130,X131,X132))))))|perp(X125,X126,X127,X128)))))),inference(variable_rename,status(thm),[c161])).])).
% 135.23/135.48 cnf(c164,axiom,~eqangle(X1134,X1133,X1132,X1137,X1136,X1131,X1135,X1130)|~perp(X1136,X1131,X1135,X1130)|perp(X1134,X1133,X1132,X1137),inference(split_conjunct,status(thm),[c163])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c355,axiom,(![X450]:(![X451]:(![X452]:(![X453]:(![X454]:(![X455]:(![X456]:(![X457]:(~eqangle(X450,X451,X452,X453,X454,X455,X456,X457)|eqangle(X451,X450,X452,X453,X454,X455,X456,X457)))))))))),inference(variable_rename,status(thm),[c354])).
% 135.23/135.48 cnf(c356,axiom,~eqangle(X1371,X1369,X1366,X1372,X1368,X1370,X1365,X1367)|eqangle(X1369,X1371,X1366,X1372,X1368,X1370,X1365,X1367),inference(split_conjunct,status(thm),[c355])).
% 135.23/135.48 cnf(c2006,plain,eqangle(X1812,X1813,X1814,X1815,X1813,X1812,X1815,X1814),inference(resolution,status(thm),[c1980, c356])).
% 135.23/135.48 cnf(c2039,plain,eqangle(X1857,X1859,X1859,X1857,X1856,X1858,X1858,X1856),inference(resolution,status(thm),[c2006, c347])).
% 135.23/135.48 cnf(c2063,plain,~perp(X2626,X2625,X2625,X2626)|perp(X2627,X2628,X2628,X2627),inference(resolution,status(thm),[c2039, c164])).
% 135.23/135.48 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).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c223,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),[c222])).
% 135.23/135.48 cnf(c224,axiom,~cong(X1196,X1197,X1195,X1197)|~cong(X1196,X1198,X1195,X1198)|~cyclic(X1196,X1195,X1197,X1198)|perp(X1197,X1196,X1196,X1198),inference(split_conjunct,status(thm),[c223])).
% 135.23/135.48 cnf(c2073,plain,~cong(X2633,X2635,X2634,X2635)|perp(X2635,X2633,X2633,X2635),inference(resolution,status(thm),[c2068, c224])).
% 135.23/135.48 cnf(c2698,plain,perp(X2636,X2636,X2636,X2636),inference(resolution,status(thm),[c2073, c2669])).
% 135.23/135.48 cnf(c2701,plain,perp(X2638,X2637,X2637,X2638),inference(resolution,status(thm),[c2698, c2063])).
% 135.23/135.48 cnf(c2729,plain,~midp(X2678,X2677,X2677)|cong(X2677,X2678,X2676,X2678),inference(resolution,status(thm),[c2701, c241])).
% 135.23/135.48 cnf(c3246,plain,cong(X2680,X2680,X2679,X2680),inference(resolution,status(thm),[c2729, c2686])).
% 135.23/135.48 cnf(c3250,plain,cong(X2681,X2681,X2681,X2682),inference(resolution,status(thm),[c3246, c341])).
% 135.23/135.48 cnf(c3263,plain,~coll(X2700,X2700,X2699)|midp(X2700,X2700,X2699),inference(resolution,status(thm),[c3250, c189])).
% 135.23/135.48 cnf(c3294,plain,midp(X2701,X2701,X2702),inference(resolution,status(thm),[c3263, c1930])).
% 135.23/135.48 fof(ruleD63,axiom,(![A]:(![B]:(![C]:(![D]:(![M]:((midp(M,A,B)&midp(M,C,D))=>para(A,C,B,D))))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c202,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(c201,axiom,(![X177]:(![X178]:(![X179]:(![X180]:((![X181]:(~midp(X181,X177,X178)|~midp(X181,X179,X180)))|para(X177,X179,X178,X180)))))),inference(variable_rename,status(thm),[c200])).])).
% 135.23/135.48 cnf(c203,axiom,~midp(X782,X781,X785)|~midp(X782,X783,X784)|para(X781,X783,X785,X784),inference(split_conjunct,status(thm),[c202])).
% 135.23/135.48 cnf(c3300,plain,~midp(X3871,X3868,X3870)|para(X3868,X3871,X3870,X3869),inference(resolution,status(thm),[c3294, c203])).
% 135.23/135.48 cnf(c6605,plain,para(X3877,X3877,X3876,X3875),inference(resolution,status(thm),[c3300, c3294])).
% 135.23/135.48 cnf(c6686,plain,para(X3894,X3896,X3895,X3895),inference(resolution,status(thm),[c6605, c397])).
% 135.23/135.48 fof(ruleD6,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)¶(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 135.23/135.48 fof(c392,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F)))))))),inference(fof_nnf,status(thm),[ruleD6])).
% 135.23/135.48 fof(c393,axiom,(![X507]:(![X508]:(![X509]:(![X510]:(![X511]:(![X512]:((~para(X507,X508,X509,X510)|~para(X509,X510,X511,X512))|para(X507,X508,X511,X512)))))))),inference(variable_rename,status(thm),[c392])).
% 135.23/135.48 cnf(c394,axiom,~para(X1380,X1384,X1381,X1385)|~para(X1381,X1385,X1382,X1383)|para(X1380,X1384,X1382,X1383),inference(split_conjunct,status(thm),[c393])).
% 135.23/135.48 fof(ruleD44,axiom,(![A]:(![B]:(![C]:(![E]:(![F]:((midp(E,A,B)&midp(F,A,C))=>para(E,F,B,C))))))),input).
% 135.23/135.48 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])).
% 135.23/135.48 fof(c265,axiom,(![X267]:(![X268]:(![X269]:(![X270]:(![X271]:((~midp(X270,X267,X268)|~midp(X271,X267,X269))|para(X270,X271,X268,X269))))))),inference(variable_rename,status(thm),[c264])).
% 135.23/135.48 cnf(c266,axiom,~midp(X792,X790,X791)|~midp(X789,X790,X793)|para(X792,X789,X791,X793),inference(split_conjunct,status(thm),[c265])).
% 135.23/135.48 cnf(c2693,plain,~midp(X2600,X2602,X2601)|para(X2600,X2602,X2601,X2602),inference(resolution,status(thm),[c2686, c266])).
% 135.23/135.48 cnf(c3299,plain,para(X2708,X2708,X2707,X2708),inference(resolution,status(thm),[c3294, c2693])).
% 135.23/135.48 cnf(c3374,plain,~para(X12366,X12364,X12365,X12365)|para(X12366,X12364,X12363,X12365),inference(resolution,status(thm),[c3299, c394])).
% 135.23/135.48 cnf(c32523,plain,para(X12379,X12380,X12381,X12382),inference(resolution,status(thm),[c3374, c6686])).
% 135.23/135.48 cnf(c32571,plain,$false,inference(resolution,status(thm),[c32523, c24])).
% 135.23/135.48 # SZS output end CNFRefutation
% 135.23/135.48
% 135.23/135.48 # Initial clauses : 136
% 135.23/135.48 # Processed clauses : 2165
% 135.23/135.48 # Factors computed : 0
% 135.23/135.48 # Resolvents computed: 32224
% 135.23/135.48 # Tautologies deleted: 29
% 135.23/135.48 # Forward subsumed : 7778
% 135.23/135.48 # Backward subsumed : 1361
% 135.23/135.48 # -------- CPU Time ---------
% 135.23/135.48 # User time : 135.076 s
% 135.23/135.48 # System time : 0.056 s
% 135.23/135.48 # Total time : 135.132 s
%------------------------------------------------------------------------------