TSTP Solution File: GEO210+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 05:59:19 EDT 2022
% Result : Theorem 1.20s 1.43s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO210+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 06:14:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.20/1.43 # Version: 1.3
% 1.20/1.43 # SZS status Theorem
% 1.20/1.43 # SZS output start CNFRefutation
% 1.20/1.43 fof(con,conjecture,(![A]:(![L]:(![M]:(((~apart_point_and_line(A,L))&(~unorthogonal_lines(L,M)))=>(~distinct_lines(L,orthogonal_through_point(M,A))))))),input).
% 1.20/1.43 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])).
% 1.20/1.43 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])).
% 1.20/1.43 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])).
% 1.20/1.43 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])).
% 1.20/1.43 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])).
% 1.20/1.43 cnf(c6,negated_conjecture,~unorthogonal_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 1.20/1.43 cnf(c5,negated_conjecture,~apart_point_and_line(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c4])).
% 1.20/1.43 fof(ooc1,axiom,(![A]:(![L]:(~unorthogonal_lines(orthogonal_through_point(L,A),L)))),input).
% 1.20/1.43 fof(c16,axiom,(![A]:(![L]:~unorthogonal_lines(orthogonal_through_point(L,A),L))),inference(fof_simplification,status(thm),[ooc1])).
% 1.20/1.43 fof(c17,axiom,(![X11]:(![X12]:~unorthogonal_lines(orthogonal_through_point(X12,X11),X12))),inference(variable_rename,status(thm),[c16])).
% 1.20/1.43 cnf(c18,axiom,~unorthogonal_lines(orthogonal_through_point(X63,X64),X63),inference(split_conjunct,status(thm),[c17])).
% 1.20/1.43 fof(ooc2,axiom,(![A]:(![L]:(~apart_point_and_line(A,orthogonal_through_point(L,A))))),input).
% 1.20/1.43 fof(c13,axiom,(![A]:(![L]:~apart_point_and_line(A,orthogonal_through_point(L,A)))),inference(fof_simplification,status(thm),[ooc2])).
% 1.20/1.43 fof(c14,axiom,(![X9]:(![X10]:~apart_point_and_line(X9,orthogonal_through_point(X10,X9)))),inference(variable_rename,status(thm),[c13])).
% 1.20/1.43 cnf(c15,axiom,~apart_point_and_line(X62,orthogonal_through_point(X61,X62)),inference(split_conjunct,status(thm),[c14])).
% 1.20/1.43 cnf(c7,negated_conjecture,distinct_lines(skolem0002,orthogonal_through_point(skolem0003,skolem0001)),inference(split_conjunct,status(thm),[c4])).
% 1.20/1.43 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).
% 1.20/1.43 fof(c8,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])).
% 1.20/1.43 fof(c9,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),[c8])).
% 1.20/1.43 fof(c11,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(c10,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),[c9])).])).
% 1.20/1.43 cnf(c12,axiom,~distinct_lines(X74,X72)|apart_point_and_line(X73,X74)|apart_point_and_line(X73,X72)|unorthogonal_lines(X74,X71)|unorthogonal_lines(X72,X71),inference(split_conjunct,status(thm),[c11])).
% 1.20/1.43 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])).
% 1.20/1.43 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])).
% 1.20/1.43 cnf(c2274,plain,apart_point_and_line(skolem0001,skolem0002)|unorthogonal_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c236, c18])).
% 1.20/1.43 cnf(c2278,plain,unorthogonal_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c2274, c5])).
% 1.20/1.43 cnf(c2285,plain,$false,inference(resolution,status(thm),[c2278, c6])).
% 1.20/1.43 # SZS output end CNFRefutation
% 1.20/1.43
% 1.20/1.43 # Initial clauses : 28
% 1.20/1.43 # Processed clauses : 214
% 1.20/1.43 # Factors computed : 78
% 1.20/1.43 # Resolvents computed: 2113
% 1.20/1.43 # Tautologies deleted: 4
% 1.20/1.43 # Forward subsumed : 362
% 1.20/1.43 # Backward subsumed : 2
% 1.20/1.43 # -------- CPU Time ---------
% 1.20/1.43 # User time : 1.062 s
% 1.20/1.43 # System time : 0.022 s
% 1.20/1.43 # Total time : 1.084 s
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