TSTP Solution File: GEO603+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO603+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 06:01:07 EDT 2022

% Result   : Theorem 5.53s 5.71s
% Output   : Refutation 5.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 05:05:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 5.53/5.71  # Version:  1.3
% 5.53/5.71  # SZS status Theorem
% 5.53/5.71  # SZS output start CNFRefutation
% 5.53/5.71  fof(exemplo6GDDFULL618065,conjecture,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(((((circle(D,A,B,C)&coll(E,A,B))¶(B,C,F,E))&coll(F,A,C))&circle(G,A,E,F))=>coll(A,G,D))))))))),input).
% 5.53/5.71  fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:(![G]:(((((circle(D,A,B,C)&coll(E,A,B))¶(B,C,F,E))&coll(F,A,C))&circle(G,A,E,F))=>coll(A,G,D)))))))))),inference(assume_negation,status(cth),[exemplo6GDDFULL618065])).
% 5.53/5.71  fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:(?[E]:(?[F]:(?[G]:(((((circle(D,A,B,C)&coll(E,A,B))¶(B,C,F,E))&coll(F,A,C))&circle(G,A,E,F))&~coll(A,G,D))))))))),inference(fof_nnf,status(thm),[c11])).
% 5.53/5.71  fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(?[X6]:(?[X7]:(?[X8]:(((((circle(X5,X2,X3,X4)&coll(X6,X2,X3))¶(X3,X4,X7,X6))&coll(X7,X2,X4))&circle(X8,X2,X6,X7))&~coll(X2,X8,X5))))))))),inference(variable_rename,status(thm),[c12])).
% 5.53/5.71  fof(c14,negated_conjecture,(((((circle(skolem0004,skolem0001,skolem0002,skolem0003)&coll(skolem0005,skolem0001,skolem0002))¶(skolem0002,skolem0003,skolem0006,skolem0005))&coll(skolem0006,skolem0001,skolem0003))&circle(skolem0007,skolem0001,skolem0005,skolem0006))&~coll(skolem0001,skolem0007,skolem0004)),inference(skolemize,status(esa),[c13])).
% 5.53/5.71  cnf(c20,negated_conjecture,~coll(skolem0001,skolem0007,skolem0004),inference(split_conjunct,status(thm),[c14])).
% 5.53/5.71  fof(ruleD1,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(A,C,B))))),input).
% 5.53/5.71  fof(c403,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(A,C,B))))),inference(fof_nnf,status(thm),[ruleD1])).
% 5.53/5.71  fof(c404,axiom,(![X527]:(![X528]:(![X529]:(~coll(X527,X528,X529)|coll(X527,X529,X528))))),inference(variable_rename,status(thm),[c403])).
% 5.53/5.71  cnf(c405,axiom,~coll(X564,X563,X562)|coll(X564,X562,X563),inference(split_conjunct,status(thm),[c404])).
% 5.53/5.71  fof(ruleD2,axiom,(![A]:(![B]:(![C]:(coll(A,B,C)=>coll(B,A,C))))),input).
% 5.53/5.71  fof(c400,axiom,(![A]:(![B]:(![C]:(~coll(A,B,C)|coll(B,A,C))))),inference(fof_nnf,status(thm),[ruleD2])).
% 5.53/5.71  fof(c401,axiom,(![X524]:(![X525]:(![X526]:(~coll(X524,X525,X526)|coll(X525,X524,X526))))),inference(variable_rename,status(thm),[c400])).
% 5.53/5.71  cnf(c402,axiom,~coll(X553,X552,X551)|coll(X552,X553,X551),inference(split_conjunct,status(thm),[c401])).
% 5.53/5.71  fof(ruleD66,axiom,(![A]:(![B]:(![C]:(para(A,B,A,C)=>coll(A,B,C))))),input).
% 5.53/5.71  fof(c186,axiom,(![A]:(![B]:(![C]:(~para(A,B,A,C)|coll(A,B,C))))),inference(fof_nnf,status(thm),[ruleD66])).
% 5.53/5.71  fof(c187,axiom,(![X163]:(![X164]:(![X165]:(~para(X163,X164,X163,X165)|coll(X163,X164,X165))))),inference(variable_rename,status(thm),[c186])).
% 5.53/5.71  cnf(c188,axiom,~para(X599,X600,X599,X598)|coll(X599,X600,X598),inference(split_conjunct,status(thm),[c187])).
% 5.53/5.71  fof(ruleD39,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(eqangle(A,B,P,Q,C,D,P,Q)=>para(A,B,C,D)))))))),input).
% 5.53/5.71  fof(c283,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])).
% 5.53/5.71  fof(c284,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),[c283])).
% 5.53/5.71  fof(c286,axiom,(![X295]:(![X296]:(![X297]:(![X298]:(![X299]:(![X300]:(~eqangle(X295,X296,X299,X300,X297,X298,X299,X300)|para(X295,X296,X297,X298)))))))),inference(shift_quantors,status(thm),[fof(c285,axiom,(![X295]:(![X296]:(![X297]:(![X298]:((![X299]:(![X300]:~eqangle(X295,X296,X299,X300,X297,X298,X299,X300)))|para(X295,X296,X297,X298)))))),inference(variable_rename,status(thm),[c284])).])).
% 5.53/5.71  cnf(c287,axiom,~eqangle(X1084,X1080,X1081,X1083,X1085,X1082,X1081,X1083)|para(X1084,X1080,X1085,X1082),inference(split_conjunct,status(thm),[c286])).
% 5.53/5.71  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).
% 5.53/5.71  fof(c347,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])).
% 5.53/5.71  fof(c348,axiom,(![X441]:(![X442]:(![X443]:(![X444]:(![X445]:(![X446]:(![X447]:(![X448]:(~eqangle(X441,X442,X443,X444,X445,X446,X447,X448)|eqangle(X443,X444,X441,X442,X447,X448,X445,X446)))))))))),inference(variable_rename,status(thm),[c347])).
% 5.53/5.71  cnf(c349,axiom,~eqangle(X1236,X1232,X1231,X1235,X1233,X1234,X1229,X1230)|eqangle(X1231,X1235,X1236,X1232,X1229,X1230,X1233,X1234),inference(split_conjunct,status(thm),[c348])).
% 5.53/5.71  fof(ruleD40,axiom,(![A]:(![B]:(![C]:(![D]:(![P]:(![Q]:(para(A,B,C,D)=>eqangle(A,B,P,Q,C,D,P,Q)))))))),input).
% 5.53/5.71  fof(c278,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])).
% 5.53/5.71  fof(c279,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),[c278])).
% 5.53/5.71  fof(c281,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(![X293]:(![X294]:(~para(X289,X290,X291,X292)|eqangle(X289,X290,X293,X294,X291,X292,X293,X294)))))))),inference(shift_quantors,status(thm),[fof(c280,axiom,(![X289]:(![X290]:(![X291]:(![X292]:(~para(X289,X290,X291,X292)|(![X293]:(![X294]:eqangle(X289,X290,X293,X294,X291,X292,X293,X294)))))))),inference(variable_rename,status(thm),[c279])).])).
% 5.53/5.71  cnf(c282,axiom,~para(X1074,X1075,X1078,X1079)|eqangle(X1074,X1075,X1076,X1077,X1078,X1079,X1076,X1077),inference(split_conjunct,status(thm),[c281])).
% 5.53/5.71  cnf(c17,negated_conjecture,para(skolem0002,skolem0003,skolem0006,skolem0005),inference(split_conjunct,status(thm),[c14])).
% 5.53/5.71  fof(ruleD5,axiom,(![A]:(![B]:(![C]:(![D]:(para(A,B,C,D)=>para(C,D,A,B)))))),input).
% 5.53/5.71  fof(c391,axiom,(![A]:(![B]:(![C]:(![D]:(~para(A,B,C,D)|para(C,D,A,B)))))),inference(fof_nnf,status(thm),[ruleD5])).
% 5.53/5.71  fof(c392,axiom,(![X512]:(![X513]:(![X514]:(![X515]:(~para(X512,X513,X514,X515)|para(X514,X515,X512,X513)))))),inference(variable_rename,status(thm),[c391])).
% 5.53/5.71  cnf(c393,axiom,~para(X654,X656,X653,X655)|para(X653,X655,X654,X656),inference(split_conjunct,status(thm),[c392])).
% 5.53/5.71  cnf(c447,plain,para(skolem0006,skolem0005,skolem0002,skolem0003),inference(resolution,status(thm),[c393, c17])).
% 5.53/5.71  fof(ruleD6,axiom,(![A]:(![B]:(![C]:(![D]:(![E]:(![F]:((para(A,B,C,D)¶(C,D,E,F))=>para(A,B,E,F)))))))),input).
% 5.53/5.71  fof(c388,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])).
% 5.53/5.71  fof(c389,axiom,(![X506]:(![X507]:(![X508]:(![X509]:(![X510]:(![X511]:((~para(X506,X507,X508,X509)|~para(X508,X509,X510,X511))|para(X506,X507,X510,X511)))))))),inference(variable_rename,status(thm),[c388])).
% 5.53/5.71  cnf(c390,axiom,~para(X1281,X1279,X1278,X1282)|~para(X1278,X1282,X1277,X1280)|para(X1281,X1279,X1277,X1280),inference(split_conjunct,status(thm),[c389])).
% 5.53/5.71  cnf(c1355,plain,~para(X2394,X2395,skolem0006,skolem0005)|para(X2394,X2395,skolem0002,skolem0003),inference(resolution,status(thm),[c390, c447])).
% 5.53/5.71  cnf(c2861,plain,para(skolem0002,skolem0003,skolem0002,skolem0003),inference(resolution,status(thm),[c1355, c17])).
% 5.53/5.71  cnf(c2881,plain,eqangle(skolem0002,skolem0003,X2403,X2404,skolem0002,skolem0003,X2403,X2404),inference(resolution,status(thm),[c2861, c282])).
% 5.53/5.71  cnf(c2958,plain,eqangle(X2428,X2429,skolem0002,skolem0003,X2428,X2429,skolem0002,skolem0003),inference(resolution,status(thm),[c2881, c349])).
% 5.53/5.71  cnf(c3055,plain,para(X2431,X2430,X2431,X2430),inference(resolution,status(thm),[c2958, c287])).
% 5.53/5.71  cnf(c3085,plain,coll(X2433,X2432,X2432),inference(resolution,status(thm),[c3055, c188])).
% 5.53/5.71  cnf(c3203,plain,coll(X2436,X2437,X2436),inference(resolution,status(thm),[c3085, c402])).
% 5.53/5.71  cnf(c3351,plain,coll(X2441,X2441,X2442),inference(resolution,status(thm),[c3203, c405])).
% 5.53/5.71  fof(ruleD3,axiom,(![A]:(![B]:(![C]:(![D]:((coll(A,B,C)&coll(A,B,D))=>coll(C,D,A)))))),input).
% 5.53/5.71  fof(c397,axiom,(![A]:(![B]:(![C]:(![D]:((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A)))))),inference(fof_nnf,status(thm),[ruleD3])).
% 5.53/5.71  fof(c398,axiom,(![X520]:(![X521]:(![X522]:(![X523]:((~coll(X520,X521,X522)|~coll(X520,X521,X523))|coll(X522,X523,X520)))))),inference(variable_rename,status(thm),[c397])).
% 5.53/5.71  cnf(c399,axiom,~coll(X715,X713,X716)|~coll(X715,X713,X714)|coll(X716,X714,X715),inference(split_conjunct,status(thm),[c398])).
% 5.53/5.71  cnf(c3404,plain,~coll(X3017,X3017,X3016)|coll(X3016,X3015,X3017),inference(resolution,status(thm),[c3351, c399])).
% 5.53/5.71  cnf(c5389,plain,coll(X3025,X3024,X3023),inference(resolution,status(thm),[c3404, c3351])).
% 5.53/5.71  cnf(c5471,plain,$false,inference(resolution,status(thm),[c5389, c20])).
% 5.53/5.71  # SZS output end CNFRefutation
% 5.53/5.71  
% 5.53/5.71  # Initial clauses    : 133
% 5.53/5.71  # Processed clauses  : 822
% 5.53/5.71  # Factors computed   : 0
% 5.53/5.71  # Resolvents computed: 5117
% 5.53/5.71  # Tautologies deleted: 1
% 5.53/5.71  # Forward subsumed   : 1572
% 5.53/5.71  # Backward subsumed  : 487
% 5.53/5.71  # -------- CPU Time ---------
% 5.53/5.71  # User time          : 5.334 s
% 5.53/5.71  # System time        : 0.029 s
% 5.53/5.71  # Total time         : 5.363 s
%------------------------------------------------------------------------------