TSTP Solution File: GEO221+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 : 600s
% DateTime : Sat Jul 16 05:59:28 EDT 2022
% Result : Theorem 34.36s 34.52s
% Output : Refutation 34.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 16:32:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 34.36/34.52 # Version: 1.3
% 34.36/34.52 # SZS status Theorem
% 34.36/34.52 # SZS output start CNFRefutation
% 34.36/34.52 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),input).
% 34.36/34.52 fof(c15,axiom,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,status(thm),[ooc1])).
% 34.36/34.52 fof(c16,axiom,(![X11]:(![X12]:~unorthogonal_lines(orthogonal_through_point(X12,X11),X12))),inference(variable_rename,status(thm),[c15])).
% 34.36/34.52 cnf(c17,axiom,~unorthogonal_lines(orthogonal_through_point(X64,X63),X64),inference(split_conjunct,status(thm),[c16])).
% 34.36/34.52 fof(ooc2,axiom,(![A]:(![L]:(~apart_point_and_line(A,orthogonal_through_point(L,A))))),input).
% 34.36/34.52 fof(c12,axiom,(![A]:(![L]:~apart_point_and_line(A,orthogonal_through_point(L,A)))),inference(fof_simplification,status(thm),[ooc2])).
% 34.36/34.52 fof(c13,axiom,(![X9]:(![X10]:~apart_point_and_line(X9,orthogonal_through_point(X10,X9)))),inference(variable_rename,status(thm),[c12])).
% 34.36/34.52 cnf(c14,axiom,~apart_point_and_line(X61,orthogonal_through_point(X62,X61)),inference(split_conjunct,status(thm),[c13])).
% 34.36/34.52 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))))))),input).
% 34.36/34.52 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])).
% 34.36/34.52 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])).
% 34.36/34.52 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])).
% 34.36/34.52 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])).
% 34.36/34.52 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])).
% 34.36/34.52 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0001)),inference(split_conjunct,status(thm),[c4])).
% 34.36/34.52 cnf(c6,negated_conjecture,distinct_lines(orthogonal_through_point(skolem0003,skolem0001),orthogonal_through_point(skolem0003,skolem0002)),inference(split_conjunct,status(thm),[c4])).
% 34.36/34.52 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))))))),input).
% 34.36/34.52 fof(c7,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))))))),inference(fof_nnf,status(thm),[ouo1])).
% 34.36/34.52 fof(c8,axiom,(![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])).
% 34.36/34.52 fof(c10,axiom,(![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,axiom,(![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])).])).
% 34.36/34.52 cnf(c11,axiom,~distinct_lines(X87,X85)|apart_point_and_line(X84,X87)|apart_point_and_line(X84,X85)|unorthogonal_lines(X87,X86)|unorthogonal_lines(X85,X86),inference(split_conjunct,status(thm),[c10])).
% 34.36/34.52 cnf(c99,plain,apart_point_and_line(X195,orthogonal_through_point(skolem0003,skolem0001))|apart_point_and_line(X195,orthogonal_through_point(skolem0003,skolem0002))|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X194)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X194),inference(resolution,status(thm),[c11, c6])).
% 34.36/34.52 cnf(c221,plain,apart_point_and_line(skolem0002,orthogonal_through_point(skolem0003,skolem0002))|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X1673)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X1673),inference(resolution,status(thm),[c99, c5])).
% 34.36/34.52 cnf(c2829,plain,unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0001),X9943)|unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),X9943),inference(resolution,status(thm),[c221, c14])).
% 34.36/34.52 cnf(c58977,plain,unorthogonal_lines(orthogonal_through_point(skolem0003,skolem0002),skolem0003),inference(resolution,status(thm),[c2829, c17])).
% 34.36/34.52 cnf(c58995,plain,$false,inference(resolution,status(thm),[c58977, c17])).
% 34.36/34.52 # SZS output end CNFRefutation
% 34.36/34.52
% 34.36/34.52 # Initial clauses : 27
% 34.36/34.52 # Processed clauses : 832
% 34.36/34.52 # Factors computed : 473
% 34.36/34.52 # Resolvents computed: 58430
% 34.36/34.52 # Tautologies deleted: 4
% 34.36/34.52 # Forward subsumed : 1829
% 34.36/34.52 # Backward subsumed : 33
% 34.36/34.52 # -------- CPU Time ---------
% 34.36/34.52 # User time : 33.991 s
% 34.36/34.52 # System time : 0.185 s
% 34.36/34.52 # Total time : 34.176 s
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