%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:21:36 EDT 2024
% Result : Theorem 35.71s 35.92s
% Output : Refutation 35.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 9 07:43:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 35.71/35.92 % Version: 1.5
% 35.71/35.92 % SZS status Theorem
% 35.71/35.92 % SZS output start CNFRefutation
% 35.71/35.92 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 35.71/35.92 fof(c15,plain,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,[status(thm)],[ooc1])).
% 35.71/35.92 fof(c16,plain,(![X11]:(![X12]:~unorthogonal_lines(orthogonal_through_point(X12,X11),X12))),inference(variable_rename,[status(thm)],[c15])).
% 35.71/35.92 cnf(c17,plain,~unorthogonal_lines(orthogonal_through_point(X63,X64),X63),inference(split_conjunct,[status(thm)],[c16])).
% 35.71/35.92 fof(ooc2,axiom,(![A]:(![L]:(~apart_point_and_line(A,orthogonal_through_point(L,A))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 35.71/35.92 fof(c12,plain,(![A]:(![L]:~apart_point_and_line(A,orthogonal_through_point(L,A)))),inference(fof_simplification,[status(thm)],[ooc2])).
% 35.71/35.92 fof(c13,plain,(![X9]:(![X10]:~apart_point_and_line(X9,orthogonal_through_point(X10,X9)))),inference(variable_rename,[status(thm)],[c12])).
% 35.71/35.92 cnf(c14,plain,~apart_point_and_line(X61,orthogonal_through_point(X62,X61)),inference(split_conjunct,[status(thm)],[c13])).
% 35.71/35.92 fof(con,conjecture,(![A]:(![B]:(![L]:((~apart_point_and_line(B,orthogonal_through_point(L,A)))=>(~distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 35.71/35.92 fof(c0,negated_conjecture,(~(![A]:(![B]:(![L]:((~apart_point_and_line(B,orthogonal_through_point(L,A)))=>(~distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)))))))),inference(assume_negation,[status(cth)],[con])).
% 35.71/35.92 fof(c1,negated_conjecture,(~(![A]:(![B]:(![L]:(~apart_point_and_line(B,orthogonal_through_point(L,A))=>~distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B))))))),inference(fof_simplification,[status(thm)],[c0])).
% 35.71/35.92 fof(c2,negated_conjecture,(?[A]:(?[B]:(?[L]:(~apart_point_and_line(B,orthogonal_through_point(L,A))&distinct_lines(orthogonal_through_point(L,A),orthogonal_through_point(L,B)))))),inference(fof_nnf,[status(thm)],[c1])).
% 35.71/35.92 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(~apart_point_and_line(X3,orthogonal_through_point(X4,X2))&distinct_lines(orthogonal_through_point(X4,X2),orthogonal_through_point(X4,X3)))))),inference(variable_rename,[status(thm)],[c2])).
% 35.71/35.92 fof(c4,negated_conjecture,(~apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0001))&distinct_lines(orthogonal_through_point(skolem0003,skolem0001),orthogonal_through_point(skolem0003,skolem0002))),inference(skolemize,[status(esa)],[c3])).
% 35.71/35.92 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0001)),inference(split_conjunct,[status(thm)],[c4])).
% 35.71/35.92 cnf(c6,negated_conjecture,distinct_lines(orthogonal_through_point(skolem0003,skolem0001),orthogonal_through_point(skolem0003,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 35.71/35.92 fof(ouo1,axiom,(![A]:(![L]:(![M]:(![N]:(distinct_lines(L,M)=>(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 35.71/35.92 fof(c7,plain,(![A]:(![L]:(![M]:(![N]:(~distinct_lines(L,M)|(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))))),inference(fof_nnf,[status(thm)],[ouo1])).
% 35.71/35.92 fof(c8,plain,(![A]:(![L]:(![M]:(~distinct_lines(L,M)|(![N]:(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))))),inference(shift_quantors,[status(thm)],[c7])).
% 35.71/35.92 fof(c10,plain,(![X5]:(![X6]:(![X7]:(![X8]:(~distinct_lines(X6,X7)|(((apart_point_and_line(X5,X6)|apart_point_and_line(X5,X7))|unorthogonal_lines(X6,X8))|unorthogonal_lines(X7,X8))))))),inference(shift_quantors,[status(thm)],[fof(c9,plain,(![X5]:(![X6]:(![X7]:(~distinct_lines(X6,X7)|(![X8]:(((apart_point_and_line(X5,X6)|apart_point_and_line(X5,X7))|unorthogonal_lines(X6,X8))|unorthogonal_lines(X7,X8))))))),inference(variable_rename,[status(thm)],[c8])).])).
% 35.71/35.92 cnf(c11,plain,~distinct_lines(X87,X84)|apart_point_and_line(X85,X87)|apart_point_and_line(X85,X84)|unorthogonal_lines(X87,X86)|unorthogonal_lines(X84,X86),inference(split_conjunct,[status(thm)],[c10])).
% 35.71/35.92 cnf(c99,plain,apart_point_and_line(X194,orthogonal_through_point(skolem0003,skolem0001))|apart_point_and_line(X194,orthogonal_through_point(skolem0003,skolem0002))|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X195)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X195),inference(resolution,[status(thm)],[c11, c6])).
% 35.71/35.92 cnf(c224,plain,apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0002))|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X1728)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X1728),inference(resolution,[status(thm)],[c99, c5])).
% 35.71/35.92 cnf(c2962,plain,unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X10184)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X10184),inference(resolution,[status(thm)],[c224, c14])).
% 35.71/35.92 cnf(c60164,plain,unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),skolem0003),inference(resolution,[status(thm)],[c2962, c17])).
% 35.71/35.92 cnf(c60172,plain,$false,inference(resolution,[status(thm)],[c60164, c17])).
% 35.71/35.92 % SZS output end CNFRefutation
% 35.71/35.92
% 35.71/35.92 % Initial clauses : 27
% 35.71/35.92 % Processed clauses : 847
% 35.71/35.92 % Factors computed : 497
% 35.71/35.92 % Resolvents computed: 59582
% 35.71/35.92 % Tautologies deleted: 4
% 35.71/35.92 % Forward subsumed : 1874
% 35.71/35.92 % Backward subsumed : 33
% 35.71/35.92 % -------- CPU Time ---------
% 35.71/35.92 % User time : 35.382 s
% 35.71/35.92 % System time : 0.163 s
% 35.71/35.92 % Total time : 35.545 s
%------------------------------------------------------------------------------