%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 48.27s 48.45s
% Output : Refutation 48.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 08:27:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 48.27/48.45 % Version: 1.5
% 48.27/48.45 % SZS status Theorem
% 48.27/48.45 % SZS output start CNFRefutation
% 48.27/48.45 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 48.27/48.45 fof(c15,plain,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,[status(thm)],[ooc1])).
% 48.27/48.45 fof(c16,plain,(![X11]:(![X12]:~unorthogonal_lines(orthogonal_through_point(X12,X11),X12))),inference(variable_rename,[status(thm)],[c15])).
% 48.27/48.45 cnf(c17,plain,~unorthogonal_lines(orthogonal_through_point(X60,X61),X60),inference(split_conjunct,[status(thm)],[c16])).
% 48.27/48.45 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)).
% 48.27/48.45 fof(c12,plain,(![A]:(![L]:~apart_point_and_line(A,orthogonal_through_point(L,A)))),inference(fof_simplification,[status(thm)],[ooc2])).
% 48.27/48.45 fof(c13,plain,(![X9]:(![X10]:~apart_point_and_line(X9,orthogonal_through_point(X10,X9)))),inference(variable_rename,[status(thm)],[c12])).
% 48.27/48.45 cnf(c14,plain,~apart_point_and_line(X58,orthogonal_through_point(X59,X58)),inference(split_conjunct,[status(thm)],[c13])).
% 48.27/48.45 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)).
% 48.27/48.45 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])).
% 48.27/48.45 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])).
% 48.27/48.45 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])).
% 48.27/48.45 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])).
% 48.27/48.45 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])).
% 48.27/48.45 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0001)),inference(split_conjunct,[status(thm)],[c4])).
% 48.27/48.45 cnf(c6,negated_conjecture,distinct_lines(orthogonal_through_point(skolem0003,skolem0001),orthogonal_through_point(skolem0003,skolem0002)),inference(split_conjunct,[status(thm)],[c4])).
% 48.27/48.45 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)).
% 48.27/48.45 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])).
% 48.27/48.45 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])).
% 48.27/48.45 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])).])).
% 48.27/48.45 cnf(c11,plain,~distinct_lines(X81,X82)|apart_point_and_line(X80,X81)|apart_point_and_line(X80,X82)|unorthogonal_lines(X81,X83)|unorthogonal_lines(X82,X83),inference(split_conjunct,[status(thm)],[c10])).
% 48.27/48.45 cnf(c100,plain,apart_point_and_line(X266,orthogonal_through_point(skolem0003,skolem0001))|apart_point_and_line(X266,orthogonal_through_point(skolem0003,skolem0002))|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X267)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X267),inference(resolution,[status(thm)],[c11, c6])).
% 48.27/48.45 cnf(c292,plain,apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0002))|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X2732)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X2732),inference(resolution,[status(thm)],[c100, c5])).
% 48.27/48.45 cnf(c8100,plain,unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X11596)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X11596),inference(resolution,[status(thm)],[c292, c14])).
% 48.27/48.45 cnf(c69135,plain,unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),skolem0003),inference(resolution,[status(thm)],[c8100, c17])).
% 48.27/48.45 cnf(c69143,plain,$false,inference(resolution,[status(thm)],[c69135, c17])).
% 48.27/48.45 % SZS output end CNFRefutation
% 48.27/48.45
% 48.27/48.45 % Initial clauses : 27
% 48.27/48.45 % Processed clauses : 917
% 48.27/48.45 % Factors computed : 519
% 48.27/48.45 % Resolvents computed: 68535
% 48.27/48.45 % Tautologies deleted: 3
% 48.27/48.45 % Forward subsumed : 2136
% 48.27/48.45 % Backward subsumed : 33
% 48.27/48.45 % -------- CPU Time ---------
% 48.27/48.45 % User time : 47.885 s
% 48.27/48.45 % System time : 0.204 s
% 48.27/48.45 % Total time : 48.089 s
%------------------------------------------------------------------------------