%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO209+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:21:30 EDT 2024
% Result : Theorem 0.46s 0.62s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO209+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 08:31:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.46/0.62 % Version: 1.5
% 0.46/0.62 % SZS status Theorem
% 0.46/0.62 % SZS output start CNFRefutation
% 0.46/0.62 fof(con,conjecture,(![A]:(![L]:(![M]:(![N]:(((((apart_point_and_line(A,L)&incident_point_and_line(A,M))&incident_point_and_line(A,N))¶llel_lines(M,L))¶llel_lines(N,L))=>equal_lines(M,N)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.46/0.62 fof(c0,negated_conjecture,(~(![A]:(![L]:(![M]:(![N]:(((((apart_point_and_line(A,L)&incident_point_and_line(A,M))&incident_point_and_line(A,N))¶llel_lines(M,L))¶llel_lines(N,L))=>equal_lines(M,N))))))),inference(assume_negation,[status(cth)],[con])).
% 0.46/0.62 fof(c1,negated_conjecture,(?[A]:(?[L]:(?[M]:(?[N]:(((((apart_point_and_line(A,L)&incident_point_and_line(A,M))&incident_point_and_line(A,N))¶llel_lines(M,L))¶llel_lines(N,L))&~equal_lines(M,N)))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.46/0.62 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:(((((apart_point_and_line(X2,X3)&incident_point_and_line(X2,X4))&incident_point_and_line(X2,X5))¶llel_lines(X4,X3))¶llel_lines(X5,X3))&~equal_lines(X4,X5)))))),inference(variable_rename,[status(thm)],[c1])).
% 0.46/0.62 fof(c3,negated_conjecture,(((((apart_point_and_line(skolem0001,skolem0002)&incident_point_and_line(skolem0001,skolem0003))&incident_point_and_line(skolem0001,skolem0004))¶llel_lines(skolem0003,skolem0002))¶llel_lines(skolem0004,skolem0002))&~equal_lines(skolem0003,skolem0004)),inference(skolemize,[status(esa)],[c2])).
% 0.46/0.62 cnf(c7,negated_conjecture,parallel_lines(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.46/0.62 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a3)).
% 0.46/0.62 fof(c24,plain,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,[status(thm)],[a3])).
% 0.46/0.62 fof(c25,plain,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c24])).
% 0.46/0.62 fof(c26,plain,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c25])).
% 0.46/0.62 fof(c28,plain,(![X14]:(![X15]:(![X16]:(![X17]:((~parallel_lines(X14,X15)|~convergent_lines(X14,X15))&(convergent_lines(X16,X17)|parallel_lines(X16,X17))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X14]:(![X15]:(~parallel_lines(X14,X15)|~convergent_lines(X14,X15))))&(![X16]:(![X17]:(convergent_lines(X16,X17)|parallel_lines(X16,X17))))),inference(variable_rename,[status(thm)],[c26])).])).
% 0.46/0.62 cnf(c29,plain,~parallel_lines(X123,X122)|~convergent_lines(X123,X122),inference(split_conjunct,[status(thm)],[c28])).
% 0.46/0.62 cnf(c8,negated_conjecture,parallel_lines(skolem0004,skolem0002),inference(split_conjunct,[status(thm)],[c3])).
% 0.46/0.62 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.46/0.62 fof(c31,plain,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,[status(thm)],[ax2])).
% 0.46/0.62 fof(c32,plain,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,[status(thm)],[c31])).
% 0.46/0.62 fof(c33,plain,((![X]:(![Y]:(~equal_lines(X,Y)|~distinct_lines(X,Y))))&(![X]:(![Y]:(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(shift_quantors,[status(thm)],[c32])).
% 0.46/0.62 fof(c35,plain,(![X18]:(![X19]:(![X20]:(![X21]:((~equal_lines(X18,X19)|~distinct_lines(X18,X19))&(distinct_lines(X20,X21)|equal_lines(X20,X21))))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,((![X18]:(![X19]:(~equal_lines(X18,X19)|~distinct_lines(X18,X19))))&(![X20]:(![X21]:(distinct_lines(X20,X21)|equal_lines(X20,X21))))),inference(variable_rename,[status(thm)],[c33])).])).
% 0.46/0.62 cnf(c37,plain,distinct_lines(X132,X131)|equal_lines(X132,X131),inference(split_conjunct,[status(thm)],[c35])).
% 0.46/0.62 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.46/0.62 fof(c104,plain,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,[status(thm)],[p1])).
% 0.46/0.62 fof(c105,plain,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,[status(thm)],[c104])).
% 0.46/0.62 cnf(c106,plain,~distinct_lines(X164,X165)|convergent_lines(X164,X165),inference(split_conjunct,[status(thm)],[c105])).
% 0.46/0.62 cnf(c195,plain,convergent_lines(X197,X196)|equal_lines(X197,X196),inference(resolution,[status(thm)],[c106, c37])).
% 0.46/0.62 cnf(c228,plain,equal_lines(X211,X210)|~parallel_lines(X211,X210),inference(resolution,[status(thm)],[c195, c29])).
% 0.46/0.62 cnf(c242,plain,equal_lines(skolem0004,skolem0002),inference(resolution,[status(thm)],[c228, c8])).
% 0.46/0.62 cnf(c36,plain,~equal_lines(X130,X129)|~distinct_lines(X130,X129),inference(split_conjunct,[status(thm)],[c35])).
% 0.46/0.62 cnf(c9,negated_conjecture,~equal_lines(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c3])).
% 0.46/0.62 cnf(c177,plain,distinct_lines(skolem0003,skolem0004),inference(resolution,[status(thm)],[c37, c9])).
% 0.46/0.62 cnf(c196,plain,convergent_lines(skolem0003,skolem0004),inference(resolution,[status(thm)],[c106, c177])).
% 0.46/0.62 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.46/0.62 fof(c107,plain,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,[status(thm)],[ceq3])).
% 0.46/0.62 fof(c108,plain,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,[status(thm)],[c107])).
% 0.46/0.62 fof(c110,plain,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,[status(thm)],[fof(c109,plain,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,[status(thm)],[c108])).])).
% 0.46/0.62 cnf(c111,plain,~convergent_lines(X294,X293)|distinct_lines(X293,X295)|convergent_lines(X294,X295),inference(split_conjunct,[status(thm)],[c110])).
% 0.46/0.62 cnf(c366,plain,distinct_lines(skolem0004,X296)|convergent_lines(skolem0003,X296),inference(resolution,[status(thm)],[c111, c196])).
% 0.46/0.62 cnf(c367,plain,convergent_lines(skolem0003,X300)|~equal_lines(skolem0004,X300),inference(resolution,[status(thm)],[c366, c36])).
% 0.46/0.62 cnf(c394,plain,convergent_lines(skolem0003,skolem0002),inference(resolution,[status(thm)],[c367, c242])).
% 0.46/0.62 cnf(c398,plain,~parallel_lines(skolem0003,skolem0002),inference(resolution,[status(thm)],[c394, c29])).
% 0.46/0.62 cnf(c405,plain,$false,inference(resolution,[status(thm)],[c398, c7])).
% 0.46/0.62 % SZS output end CNFRefutation
% 0.46/0.62
% 0.46/0.62 % Initial clauses : 52
% 0.46/0.62 % Processed clauses : 99
% 0.46/0.62 % Factors computed : 0
% 0.46/0.62 % Resolvents computed: 241
% 0.46/0.62 % Tautologies deleted: 5
% 0.46/0.62 % Forward subsumed : 37
% 0.46/0.62 % Backward subsumed : 0
% 0.46/0.62 % -------- CPU Time ---------
% 0.46/0.62 % User time : 0.268 s
% 0.46/0.62 % System time : 0.010 s
% 0.46/0.62 % Total time : 0.278 s
%------------------------------------------------------------------------------