%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 1.06s 1.29s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 08:10:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.06/1.29 % Version: 1.5
% 1.06/1.29 % SZS status Theorem
% 1.06/1.29 % SZS output start CNFRefutation
% 1.06/1.29 fof(con,conjecture,(![A]:(![L]:(![M]:(((~apart_point_and_line(A,L))&(~unorthogonal_lines(L,M)))=>(~distinct_lines(L,orthogonal_through_point(M,A))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 1.06/1.29 fof(c0,negated_conjecture,(~(![A]:(![L]:(![M]:(((~apart_point_and_line(A,L))&(~unorthogonal_lines(L,M)))=>(~distinct_lines(L,orthogonal_through_point(M,A)))))))),inference(assume_negation,[status(cth)],[con])).
% 1.06/1.29 fof(c1,negated_conjecture,(~(![A]:(![L]:(![M]:((~apart_point_and_line(A,L)&~unorthogonal_lines(L,M))=>~distinct_lines(L,orthogonal_through_point(M,A))))))),inference(fof_simplification,[status(thm)],[c0])).
% 1.06/1.29 fof(c2,negated_conjecture,(?[A]:(?[L]:(?[M]:((~apart_point_and_line(A,L)&~unorthogonal_lines(L,M))&distinct_lines(L,orthogonal_through_point(M,A)))))),inference(fof_nnf,[status(thm)],[c1])).
% 1.06/1.29 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((~apart_point_and_line(X2,X3)&~unorthogonal_lines(X3,X4))&distinct_lines(X3,orthogonal_through_point(X4,X2)))))),inference(variable_rename,[status(thm)],[c2])).
% 1.06/1.29 fof(c4,negated_conjecture,((~apart_point_and_line(skolem0001,skolem0002)&~unorthogonal_lines(skolem0002,skolem0003))&distinct_lines(skolem0002,orthogonal_through_point(skolem0003,skolem0001))),inference(skolemize,[status(esa)],[c3])).
% 1.06/1.29 cnf(c6,negated_conjecture,~unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c4])).
% 1.06/1.29 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c4])).
% 1.06/1.29 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 1.06/1.29 fof(c16,plain,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,[status(thm)],[ooc1])).
% 1.06/1.29 fof(c17,plain,(![X11]:(![X12]:~unorthogonal_lines(orthogonal_through_point(X12,X11),X12))),inference(variable_rename,[status(thm)],[c16])).
% 1.06/1.29 cnf(c18,plain,~unorthogonal_lines(orthogonal_through_point(X63,X64),X63),inference(split_conjunct,[status(thm)],[c17])).
% 1.06/1.29 fof(ooc2,axiom,(![A]:(![L]:(~apart_point_and_line(A,orthogonal_through_point(L,A))))),file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 1.06/1.29 fof(c13,plain,(![A]:(![L]:~apart_point_and_line(A,orthogonal_through_point(L,A)))),inference(fof_simplification,[status(thm)],[ooc2])).
% 1.06/1.29 fof(c14,plain,(![X9]:(![X10]:~apart_point_and_line(X9,orthogonal_through_point(X10,X9)))),inference(variable_rename,[status(thm)],[c13])).
% 1.06/1.29 cnf(c15,plain,~apart_point_and_line(X62,orthogonal_through_point(X61,X62)),inference(split_conjunct,[status(thm)],[c14])).
% 1.06/1.29 cnf(c7,negated_conjecture,distinct_lines(skolem0002,orthogonal_through_point(skolem0003,skolem0001)),inference(split_conjunct,[status(thm)],[c4])).
% 1.06/1.29 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/sandbox2/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 1.06/1.29 fof(c8,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])).
% 1.06/1.29 fof(c9,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)],[c8])).
% 1.06/1.29 fof(c11,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(c10,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)],[c9])).])).
% 1.06/1.29 cnf(c12,plain,~distinct_lines(X71,X72)|apart_point_and_line(X73,X71)|apart_point_and_line(X73,X72)|unorthogonal_lines(X71,X74)|unorthogonal_lines(X72,X74),inference(split_conjunct,[status(thm)],[c11])).
% 1.06/1.29 cnf(c101,plain,apart_point_and_line(X179,skolem0002)|apart_point_and_line(X179,orthogonal_through_point(skolem0003,skolem0001))|unorthogonal_lines(skolem0002,X178)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X178),inference(resolution,[status(thm)],[c12, c7])).
% 1.06/1.29 cnf(c236,plain,apart_point_and_line(skolem0001,skolem0002)|unorthogonal_lines(skolem0002,X1184)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X1184),inference(resolution,[status(thm)],[c101, c15])).
% 1.06/1.29 cnf(c2275,plain,apart_point_and_line(skolem0001,skolem0002)|unorthogonal_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c236, c18])).
% 1.06/1.29 cnf(c2278,plain,unorthogonal_lines(skolem0002,skolem0003),inference(resolution,[status(thm)],[c2275, c5])).
% 1.06/1.29 cnf(c2287,plain,$false,inference(resolution,[status(thm)],[c2278, c6])).
% 1.06/1.29 % SZS output end CNFRefutation
% 1.06/1.29
% 1.06/1.29 % Initial clauses : 28
% 1.06/1.29 % Processed clauses : 214
% 1.06/1.29 % Factors computed : 78
% 1.06/1.29 % Resolvents computed: 2113
% 1.06/1.29 % Tautologies deleted: 4
% 1.06/1.29 % Forward subsumed : 362
% 1.06/1.29 % Backward subsumed : 2
% 1.06/1.29 % -------- CPU Time ---------
% 1.06/1.29 % User time : 0.932 s
% 1.06/1.29 % System time : 0.019 s
% 1.06/1.29 % Total time : 0.951 s
%------------------------------------------------------------------------------