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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO253+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n023.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 16091.75MB
% OS       : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Apr  1 13:39:17 EDT 2016

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   65 (  29   ~;  15   |;  17   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (   4 sgn  23   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1,X3] :
      ( apart_point_and_line(X1,X3)
    <=> ( left_apart_point(X1,X3)
        | left_apart_point(X1,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmpPdXEHo/sel_theBenchmark.p_1',apt_def) ).

fof(15,axiom,
    ! [X1,X3] :
      ~ ( left_apart_point(X1,X3)
        | left_apart_point(X1,reverse_line(X3)) ),
    file('/export/starexec/sandbox/tmp/tmpPdXEHo/sel_theBenchmark.p_1',oag10) ).

fof(17,conjecture,
    ! [X1,X2,X3] :
      ( ( apart_point_and_line(X1,X3)
        & ~ apart_point_and_line(X2,parallel_through_point(X3,X1)) )
     => apart_point_and_line(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmpPdXEHo/sel_theBenchmark.p_1',con) ).

fof(18,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( apart_point_and_line(X1,X3)
          & ~ apart_point_and_line(X2,parallel_through_point(X3,X1)) )
       => apart_point_and_line(X2,X3) ),
    inference(assume_negation,[status(cth)],[17]) ).

fof(25,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( apart_point_and_line(X1,X3)
          & ~ apart_point_and_line(X2,parallel_through_point(X3,X1)) )
       => apart_point_and_line(X2,X3) ),
    inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).

fof(44,plain,
    ! [X1,X3] :
      ( ( ~ apart_point_and_line(X1,X3)
        | left_apart_point(X1,X3)
        | left_apart_point(X1,reverse_line(X3)) )
      & ( ( ~ left_apart_point(X1,X3)
          & ~ left_apart_point(X1,reverse_line(X3)) )
        | apart_point_and_line(X1,X3) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(45,plain,
    ! [X4,X5] :
      ( ( ~ apart_point_and_line(X4,X5)
        | left_apart_point(X4,X5)
        | left_apart_point(X4,reverse_line(X5)) )
      & ( ( ~ left_apart_point(X4,X5)
          & ~ left_apart_point(X4,reverse_line(X5)) )
        | apart_point_and_line(X4,X5) ) ),
    inference(variable_rename,[status(thm)],[44]) ).

fof(46,plain,
    ! [X4,X5] :
      ( ( ~ apart_point_and_line(X4,X5)
        | left_apart_point(X4,X5)
        | left_apart_point(X4,reverse_line(X5)) )
      & ( ~ left_apart_point(X4,X5)
        | apart_point_and_line(X4,X5) )
      & ( ~ left_apart_point(X4,reverse_line(X5))
        | apart_point_and_line(X4,X5) ) ),
    inference(distribute,[status(thm)],[45]) ).

cnf(49,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | left_apart_point(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[46]) ).

fof(72,plain,
    ! [X1,X3] :
      ( ~ left_apart_point(X1,X3)
      & ~ left_apart_point(X1,reverse_line(X3)) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(73,plain,
    ! [X4,X5] :
      ( ~ left_apart_point(X4,X5)
      & ~ left_apart_point(X4,reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[72]) ).

cnf(75,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[73]) ).

fof(79,negated_conjecture,
    ? [X1,X2,X3] :
      ( apart_point_and_line(X1,X3)
      & ~ apart_point_and_line(X2,parallel_through_point(X3,X1))
      & ~ apart_point_and_line(X2,X3) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(80,negated_conjecture,
    ? [X4,X5,X6] :
      ( apart_point_and_line(X4,X6)
      & ~ apart_point_and_line(X5,parallel_through_point(X6,X4))
      & ~ apart_point_and_line(X5,X6) ),
    inference(variable_rename,[status(thm)],[79]) ).

fof(81,negated_conjecture,
    ( apart_point_and_line(esk1_0,esk3_0)
    & ~ apart_point_and_line(esk2_0,parallel_through_point(esk3_0,esk1_0))
    & ~ apart_point_and_line(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[80]) ).

cnf(84,negated_conjecture,
    apart_point_and_line(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[81]) ).

cnf(93,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ apart_point_and_line(X1,X2) ),
    inference(sr,[status(thm)],[49,75,theory(equality)]) ).

cnf(94,plain,
    ~ apart_point_and_line(X1,X2),
    inference(sr,[status(thm)],[93,75,theory(equality)]) ).

cnf(95,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[84,94,theory(equality)]) ).

cnf(96,negated_conjecture,
    $false,
    95,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO253+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.22  % Computer : n023.star.cs.uiowa.edu
% 0.03/0.22  % Model    : x86_64 x86_64
% 0.03/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22  % Memory   : 16091.75MB
% 0.03/0.22  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.22  % CPULimit : 300
% 0.03/0.22  % DateTime : Fri Apr  1 11:22:37 CDT 2016
% 0.03/0.22  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27  --creating new selector for [GEO007+0.ax]
% 0.06/0.33  -running prover on /export/starexec/sandbox/tmp/tmpPdXEHo/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.33  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpPdXEHo/sel_theBenchmark.p_1']
% 0.06/0.33  -prover status Theorem
% 0.06/0.33  Problem theBenchmark.p solved in phase 0.
% 0.06/0.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33  Solved 1 out of 1.
% 0.06/0.33  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.33  # SZS status Theorem
% 0.06/0.33  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.33  # SZS output end CNFRefutation
%------------------------------------------------------------------------------