%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 17:21:34 EDT 2024
% Result : Theorem 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO218+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n008.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 : 300
% 0.12/0.34 % DateTime : Thu May 9 08:37:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.38/0.61 % Version: 1.5
% 0.38/0.61 % SZS status Theorem
% 0.38/0.61 % SZS output start CNFRefutation
% 0.38/0.61 fof(con,conjecture,(![L]:(![M]:(![N]:(((~convergent_lines(L,M))&(~unorthogonal_lines(L,N)))=>(~unorthogonal_lines(M,N)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.38/0.61 fof(c0,negated_conjecture,(~(![L]:(![M]:(![N]:(((~convergent_lines(L,M))&(~unorthogonal_lines(L,N)))=>(~unorthogonal_lines(M,N))))))),inference(assume_negation,[status(cth)],[con])).
% 0.38/0.61 fof(c1,negated_conjecture,(~(![L]:(![M]:(![N]:((~convergent_lines(L,M)&~unorthogonal_lines(L,N))=>~unorthogonal_lines(M,N)))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.38/0.61 fof(c2,negated_conjecture,(?[L]:(?[M]:(?[N]:((~convergent_lines(L,M)&~unorthogonal_lines(L,N))&unorthogonal_lines(M,N))))),inference(fof_nnf,[status(thm)],[c1])).
% 0.38/0.61 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~convergent_lines(X2,X3)&~unorthogonal_lines(X2,X4))&unorthogonal_lines(X3,X4))))),inference(variable_rename,[status(thm)],[c2])).
% 0.38/0.61 fof(c4,negated_conjecture,((~convergent_lines(skolem0001,skolem0002)&~unorthogonal_lines(skolem0001,skolem0003))&unorthogonal_lines(skolem0002,skolem0003)),inference(skolemize,[status(esa)],[c3])).
% 0.38/0.61 cnf(c6,negated_conjecture,~unorthogonal_lines(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.38/0.61 cnf(c5,negated_conjecture,~convergent_lines(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 0.38/0.61 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.38/0.61 fof(c73,plain,(![X]:~convergent_lines(X,X)),inference(fof_simplification,[status(thm)],[apart3])).
% 0.38/0.61 fof(c74,plain,(![X43]:~convergent_lines(X43,X43)),inference(variable_rename,[status(thm)],[c73])).
% 0.38/0.61 cnf(c75,plain,~convergent_lines(X46,X46),inference(split_conjunct,[status(thm)],[c74])).
% 0.38/0.61 fof(ax6,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.38/0.61 fof(c58,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(fof_nnf,[status(thm)],[ax6])).
% 0.38/0.61 fof(c59,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(convergent_lines(X,Z)|convergent_lines(Y,Z)))))),inference(shift_quantors,[status(thm)],[c58])).
% 0.38/0.61 fof(c61,plain,(![X34]:(![X35]:(![X36]:(~convergent_lines(X34,X35)|(convergent_lines(X34,X36)|convergent_lines(X35,X36)))))),inference(shift_quantors,[status(thm)],[fof(c60,plain,(![X34]:(![X35]:(~convergent_lines(X34,X35)|(![X36]:(convergent_lines(X34,X36)|convergent_lines(X35,X36)))))),inference(variable_rename,[status(thm)],[c59])).])).
% 0.38/0.61 cnf(c62,plain,~convergent_lines(X82,X83)|convergent_lines(X82,X84)|convergent_lines(X83,X84),inference(split_conjunct,[status(thm)],[c61])).
% 0.38/0.61 fof(coipo1,axiom,(![L]:(![M]:(~((~convergent_lines(L,M))&(~unorthogonal_lines(L,M)))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax', coipo1)).
% 0.38/0.61 fof(c20,plain,(![L]:(![M]:(~(~convergent_lines(L,M)&~unorthogonal_lines(L,M))))),inference(fof_simplification,[status(thm)],[coipo1])).
% 0.38/0.61 fof(c21,plain,(![L]:(![M]:(convergent_lines(L,M)|unorthogonal_lines(L,M)))),inference(fof_nnf,[status(thm)],[c20])).
% 0.38/0.61 fof(c22,plain,(![X11]:(![X12]:(convergent_lines(X11,X12)|unorthogonal_lines(X11,X12)))),inference(variable_rename,[status(thm)],[c21])).
% 0.38/0.61 cnf(c23,plain,convergent_lines(X50,X49)|unorthogonal_lines(X50,X49),inference(split_conjunct,[status(thm)],[c22])).
% 0.38/0.61 cnf(c84,plain,convergent_lines(skolem0001,skolem0003),inference(resolution,[status(thm)],[c23, c6])).
% 0.38/0.61 cnf(c109,plain,convergent_lines(skolem0001,X85)|convergent_lines(skolem0003,X85),inference(resolution,[status(thm)],[c62, c84])).
% 0.38/0.61 cnf(c110,plain,convergent_lines(skolem0003,skolem0002),inference(resolution,[status(thm)],[c109, c5])).
% 0.38/0.61 cnf(c127,plain,convergent_lines(skolem0003,X94)|convergent_lines(skolem0002,X94),inference(resolution,[status(thm)],[c110, c62])).
% 0.38/0.61 cnf(c145,plain,convergent_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c127, c75])).
% 0.38/0.61 cnf(c7,negated_conjecture,unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 0.38/0.61 fof(cotno1,axiom,(![L]:(![M]:(![N]:((((~convergent_lines(L,M))|(~unorthogonal_lines(L,M)))&((~convergent_lines(L,N))|(~unorthogonal_lines(L,N))))=>((~convergent_lines(M,N))|(~unorthogonal_lines(M,N))))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax', cotno1)).
% 0.38/0.61 fof(c12,plain,(![L]:(![M]:(![N]:(((~convergent_lines(L,M)|~unorthogonal_lines(L,M))&(~convergent_lines(L,N)|~unorthogonal_lines(L,N)))=>(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))))),inference(fof_simplification,[status(thm)],[cotno1])).
% 0.38/0.61 fof(c13,plain,(![L]:(![M]:(![N]:(((convergent_lines(L,M)&unorthogonal_lines(L,M))|(convergent_lines(L,N)&unorthogonal_lines(L,N)))|(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))))),inference(fof_nnf,[status(thm)],[c12])).
% 0.38/0.61 fof(c14,plain,(![X8]:(![X9]:(![X10]:(((convergent_lines(X8,X9)&unorthogonal_lines(X8,X9))|(convergent_lines(X8,X10)&unorthogonal_lines(X8,X10)))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))))),inference(variable_rename,[status(thm)],[c13])).
% 0.38/0.61 fof(c15,plain,(![X8]:(![X9]:(![X10]:((((convergent_lines(X8,X9)|convergent_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))&((convergent_lines(X8,X9)|unorthogonal_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10))))&(((unorthogonal_lines(X8,X9)|convergent_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))&((unorthogonal_lines(X8,X9)|unorthogonal_lines(X8,X10))|(~convergent_lines(X9,X10)|~unorthogonal_lines(X9,X10)))))))),inference(distribute,[status(thm)],[c14])).
% 0.38/0.61 cnf(c17,plain,convergent_lines(X73,X75)|unorthogonal_lines(X73,X74)|~convergent_lines(X75,X74)|~unorthogonal_lines(X75,X74),inference(split_conjunct,[status(thm)],[c15])).
% 0.38/0.61 cnf(c102,plain,convergent_lines(X171,skolem0002)|unorthogonal_lines(X171,skolem0003)|~convergent_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c17, c7])).
% 0.38/0.61 cnf(c364,plain,convergent_lines(X176,skolem0002)|unorthogonal_lines(X176,skolem0003),inference(resolution,[status(thm)],[c102, c145])).
% 0.38/0.61 cnf(c396,plain,unorthogonal_lines(skolem0001,skolem0003),inference(resolution,[status(thm)],[c364, c5])).
% 0.38/0.61 cnf(c408,plain,$false,inference(resolution,[status(thm)],[c396, c6])).
% 0.38/0.61 % SZS output end CNFRefutation
% 0.38/0.61
% 0.38/0.61 % Initial clauses : 23
% 0.38/0.61 % Processed clauses : 65
% 0.38/0.61 % Factors computed : 6
% 0.38/0.61 % Resolvents computed: 321
% 0.38/0.61 % Tautologies deleted: 2
% 0.38/0.61 % Forward subsumed : 56
% 0.38/0.61 % Backward subsumed : 2
% 0.38/0.61 % -------- CPU Time ---------
% 0.38/0.61 % User time : 0.260 s
% 0.38/0.61 % System time : 0.007 s
% 0.38/0.61 % Total time : 0.267 s
%------------------------------------------------------------------------------