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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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  : 300s
% DateTime : Thu May  9 17:21:51 EDT 2024

% Result   : Theorem 15.15s 15.33s
% Output   : Refutation 15.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May  9 07:49:23 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 15.15/15.33  % Version:  1.5
% 15.15/15.33  % SZS status Theorem
% 15.15/15.33  % SZS output start CNFRefutation
% 15.15/15.33  fof(ax5_basics,axiom,(![L]:equally_directed_lines(L,L)),file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax5_basics)).
% 15.15/15.33  fof(c88,plain,(![X55]:equally_directed_lines(X55,X55)),inference(variable_rename,[status(thm)],[ax5_basics])).
% 15.15/15.33  cnf(c89,plain,equally_directed_lines(X116,X116),inference(split_conjunct,[status(thm)],[c88])).
% 15.15/15.33  fof(a4_defns,axiom,(![X]:(![Y]:(equally_directed_lines(X,Y)<=>(~unequally_directed_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a4_defns)).
% 15.15/15.33  fof(c161,plain,(![X]:(![Y]:(equally_directed_lines(X,Y)<=>~unequally_directed_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a4_defns])).
% 15.15/15.33  fof(c162,plain,(![X]:(![Y]:((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(unequally_directed_lines(X,Y)|equally_directed_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c161])).
% 15.15/15.33  fof(c163,plain,((![X]:(![Y]:(~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))))&(![X]:(![Y]:(unequally_directed_lines(X,Y)|equally_directed_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c162])).
% 15.15/15.33  fof(c165,plain,(![X96]:(![X97]:(![X98]:(![X99]:((~equally_directed_lines(X96,X97)|~unequally_directed_lines(X96,X97))&(unequally_directed_lines(X98,X99)|equally_directed_lines(X98,X99))))))),inference(shift_quantors,[status(thm)],[fof(c164,plain,((![X96]:(![X97]:(~equally_directed_lines(X96,X97)|~unequally_directed_lines(X96,X97))))&(![X98]:(![X99]:(unequally_directed_lines(X98,X99)|equally_directed_lines(X98,X99))))),inference(variable_rename,[status(thm)],[c163])).])).
% 15.15/15.33  cnf(c166,plain,~equally_directed_lines(X148,X147)|~unequally_directed_lines(X148,X147),inference(split_conjunct,[status(thm)],[c165])).
% 15.15/15.33  fof(a5_defns,axiom,(![X]:(![Y]:(equally_directed_opposite_lines(X,Y)<=>(~unequally_directed_opposite_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a5_defns)).
% 15.15/15.33  fof(c154,plain,(![X]:(![Y]:(equally_directed_opposite_lines(X,Y)<=>~unequally_directed_opposite_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a5_defns])).
% 15.15/15.33  fof(c155,plain,(![X]:(![Y]:((~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))&(unequally_directed_opposite_lines(X,Y)|equally_directed_opposite_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c154])).
% 15.15/15.33  fof(c156,plain,((![X]:(![Y]:(~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))))&(![X]:(![Y]:(unequally_directed_opposite_lines(X,Y)|equally_directed_opposite_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c155])).
% 15.15/15.33  fof(c158,plain,(![X92]:(![X93]:(![X94]:(![X95]:((~equally_directed_opposite_lines(X92,X93)|~unequally_directed_opposite_lines(X92,X93))&(unequally_directed_opposite_lines(X94,X95)|equally_directed_opposite_lines(X94,X95))))))),inference(shift_quantors,[status(thm)],[fof(c157,plain,((![X92]:(![X93]:(~equally_directed_opposite_lines(X92,X93)|~unequally_directed_opposite_lines(X92,X93))))&(![X94]:(![X95]:(unequally_directed_opposite_lines(X94,X95)|equally_directed_opposite_lines(X94,X95))))),inference(variable_rename,[status(thm)],[c156])).])).
% 15.15/15.33  cnf(c160,plain,unequally_directed_opposite_lines(X145,X146)|equally_directed_opposite_lines(X145,X146),inference(split_conjunct,[status(thm)],[c158])).
% 15.15/15.33  fof(a1_defns,axiom,(![X]:(![Y]:(unequally_directed_opposite_lines(X,Y)<=>unequally_directed_lines(X,reverse_line(Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', a1_defns)).
% 15.15/15.33  fof(c180,plain,(![X]:(![Y]:((~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))&(~unequally_directed_lines(X,reverse_line(Y))|unequally_directed_opposite_lines(X,Y))))),inference(fof_nnf,[status(thm)],[a1_defns])).
% 15.15/15.33  fof(c181,plain,((![X]:(![Y]:(~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))))&(![X]:(![Y]:(~unequally_directed_lines(X,reverse_line(Y))|unequally_directed_opposite_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c180])).
% 15.15/15.33  fof(c183,plain,(![X108]:(![X109]:(![X110]:(![X111]:((~unequally_directed_opposite_lines(X108,X109)|unequally_directed_lines(X108,reverse_line(X109)))&(~unequally_directed_lines(X110,reverse_line(X111))|unequally_directed_opposite_lines(X110,X111))))))),inference(shift_quantors,[status(thm)],[fof(c182,plain,((![X108]:(![X109]:(~unequally_directed_opposite_lines(X108,X109)|unequally_directed_lines(X108,reverse_line(X109)))))&(![X110]:(![X111]:(~unequally_directed_lines(X110,reverse_line(X111))|unequally_directed_opposite_lines(X110,X111))))),inference(variable_rename,[status(thm)],[c181])).])).
% 15.15/15.33  cnf(c184,plain,~unequally_directed_opposite_lines(X184,X185)|unequally_directed_lines(X184,reverse_line(X185)),inference(split_conjunct,[status(thm)],[c183])).
% 15.15/15.33  cnf(c193,plain,unequally_directed_lines(X252,reverse_line(X253))|equally_directed_opposite_lines(X252,X253),inference(resolution,[status(thm)],[c184, c160])).
% 15.15/15.33  cnf(c243,plain,equally_directed_opposite_lines(X293,X292)|~equally_directed_lines(X293,reverse_line(X292)),inference(resolution,[status(thm)],[c193, c166])).
% 15.15/15.33  cnf(c304,plain,equally_directed_opposite_lines(reverse_line(X294),X294),inference(resolution,[status(thm)],[c243, c89])).
% 15.15/15.33  cnf(c159,plain,~equally_directed_opposite_lines(X144,X143)|~unequally_directed_opposite_lines(X144,X143),inference(split_conjunct,[status(thm)],[c158])).
% 15.15/15.33  cnf(c185,plain,~unequally_directed_lines(X186,reverse_line(X187))|unequally_directed_opposite_lines(X186,X187),inference(split_conjunct,[status(thm)],[c183])).
% 15.15/15.33  fof(ax8_basics,axiom,(![L]:(![M]:(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax8_basics)).
% 15.15/15.33  fof(c72,plain,(![X47]:(![X48]:(unequally_directed_lines(X47,X48)|unequally_directed_lines(X47,reverse_line(X48))))),inference(variable_rename,[status(thm)],[ax8_basics])).
% 15.15/15.33  cnf(c73,plain,unequally_directed_lines(X170,X171)|unequally_directed_lines(X170,reverse_line(X171)),inference(split_conjunct,[status(thm)],[c72])).
% 15.15/15.33  cnf(c194,plain,unequally_directed_opposite_lines(X188,X189)|unequally_directed_lines(X188,X189),inference(resolution,[status(thm)],[c185, c73])).
% 15.15/15.33  cnf(c199,plain,unequally_directed_opposite_lines(X194,X195)|~equally_directed_lines(X194,X195),inference(resolution,[status(thm)],[c194, c166])).
% 15.15/15.33  cnf(c204,plain,unequally_directed_opposite_lines(X196,X196),inference(resolution,[status(thm)],[c199, c89])).
% 15.15/15.33  cnf(c206,plain,unequally_directed_lines(X199,reverse_line(X199)),inference(resolution,[status(thm)],[c204, c184])).
% 15.15/15.33  fof(con,conjecture,(![L]:equally_directed_opposite_lines(L,reverse_line(L))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 15.15/15.33  fof(c0,negated_conjecture,(~(![L]:equally_directed_opposite_lines(L,reverse_line(L)))),inference(assume_negation,[status(cth)],[con])).
% 15.15/15.33  fof(c1,negated_conjecture,(?[L]:~equally_directed_opposite_lines(L,reverse_line(L))),inference(fof_nnf,[status(thm)],[c0])).
% 15.15/15.33  fof(c2,negated_conjecture,(?[X2]:~equally_directed_opposite_lines(X2,reverse_line(X2))),inference(variable_rename,[status(thm)],[c1])).
% 15.15/15.33  fof(c3,negated_conjecture,~equally_directed_opposite_lines(skolem0001,reverse_line(skolem0001)),inference(skolemize,[status(esa)],[c2])).
% 15.15/15.33  cnf(c4,negated_conjecture,~equally_directed_opposite_lines(skolem0001,reverse_line(skolem0001)),inference(split_conjunct,[status(thm)],[c3])).
% 15.15/15.33  cnf(c187,plain,unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0001)),inference(resolution,[status(thm)],[c160, c4])).
% 15.15/15.33  cnf(c192,plain,unequally_directed_lines(skolem0001,reverse_line(reverse_line(skolem0001))),inference(resolution,[status(thm)],[c184, c187])).
% 15.15/15.33  fof(ax7_basics,axiom,(![L]:(![M]:(![N]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax', ax7_basics)).
% 15.15/15.33  fof(c74,plain,(![L]:(![M]:(![N]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(fof_nnf,[status(thm)],[ax7_basics])).
% 15.15/15.33  fof(c75,plain,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(![N]:((unequally_directed_lines(L,N)&unequally_directed_lines(L,reverse_line(N)))|(unequally_directed_lines(M,N)&unequally_directed_lines(M,reverse_line(N)))))))),inference(shift_quantors,[status(thm)],[c74])).
% 15.15/15.33  fof(c77,plain,(![X49]:(![X50]:(![X51]:((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|((unequally_directed_lines(X49,X51)&unequally_directed_lines(X49,reverse_line(X51)))|(unequally_directed_lines(X50,X51)&unequally_directed_lines(X50,reverse_line(X51)))))))),inference(shift_quantors,[status(thm)],[fof(c76,plain,(![X49]:(![X50]:((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(![X51]:((unequally_directed_lines(X49,X51)&unequally_directed_lines(X49,reverse_line(X51)))|(unequally_directed_lines(X50,X51)&unequally_directed_lines(X50,reverse_line(X51)))))))),inference(variable_rename,[status(thm)],[c75])).])).
% 15.15/15.33  fof(c78,plain,(![X49]:(![X50]:(![X51]:((((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,X51)|unequally_directed_lines(X50,X51)))&((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,X51)|unequally_directed_lines(X50,reverse_line(X51)))))&(((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,reverse_line(X51))|unequally_directed_lines(X50,X51)))&((~unequally_directed_lines(X49,X50)|~unequally_directed_lines(X49,reverse_line(X50)))|(unequally_directed_lines(X49,reverse_line(X51))|unequally_directed_lines(X50,reverse_line(X51))))))))),inference(distribute,[status(thm)],[c77])).
% 15.15/15.33  cnf(c80,plain,~unequally_directed_lines(X291,X289)|~unequally_directed_lines(X291,reverse_line(X289))|unequally_directed_lines(X291,X290)|unequally_directed_lines(X289,reverse_line(X290)),inference(split_conjunct,[status(thm)],[c78])).
% 15.15/15.33  cnf(c296,plain,~unequally_directed_lines(skolem0001,reverse_line(skolem0001))|unequally_directed_lines(skolem0001,X924)|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X924)),inference(resolution,[status(thm)],[c80, c192])).
% 15.15/15.33  cnf(c1591,plain,unequally_directed_lines(skolem0001,X6629)|unequally_directed_lines(reverse_line(skolem0001),reverse_line(X6629)),inference(resolution,[status(thm)],[c296, c206])).
% 15.15/15.33  cnf(c29264,plain,unequally_directed_lines(skolem0001,X6630)|unequally_directed_opposite_lines(reverse_line(skolem0001),X6630),inference(resolution,[status(thm)],[c1591, c185])).
% 15.15/15.33  cnf(c29325,plain,unequally_directed_opposite_lines(reverse_line(skolem0001),X6632)|~equally_directed_lines(skolem0001,X6632),inference(resolution,[status(thm)],[c29264, c166])).
% 15.15/15.33  cnf(c29406,plain,unequally_directed_opposite_lines(reverse_line(skolem0001),skolem0001),inference(resolution,[status(thm)],[c29325, c89])).
% 15.15/15.33  cnf(c29428,plain,~equally_directed_opposite_lines(reverse_line(skolem0001),skolem0001),inference(resolution,[status(thm)],[c29406, c159])).
% 15.15/15.33  cnf(c29453,plain,$false,inference(resolution,[status(thm)],[c29428, c304])).
% 15.15/15.33  % SZS output end CNFRefutation
% 15.15/15.33  
% 15.15/15.33  % Initial clauses    : 67
% 15.15/15.33  % Processed clauses  : 723
% 15.15/15.33  % Factors computed   : 114
% 15.15/15.33  % Resolvents computed: 29156
% 15.15/15.33  % Tautologies deleted: 8
% 15.15/15.33  % Forward subsumed   : 2043
% 15.15/15.33  % Backward subsumed  : 14
% 15.15/15.33  % -------- CPU Time ---------
% 15.15/15.33  % User time          : 14.882 s
% 15.15/15.33  % System time        : 0.086 s
% 15.15/15.33  % Total time         : 14.968 s
%------------------------------------------------------------------------------