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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO238+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 13:39:16 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       :   77 (   0 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :   89 (  32   ~;  27   |;  26   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   49 (   7 sgn  30   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X1,X4] :
      ~ ( left_apart_point(X1,X4)
        | left_apart_point(X1,reverse_line(X4)) ),
    file('/export/starexec/sandbox/tmp/tmpVKsXIn/sel_theBenchmark.p_1',oag10) ).

fof(4,axiom,
    ! [X1,X2,X4] :
      ( divides_points(X4,X1,X2)
    <=> ( ( left_apart_point(X1,X4)
          & left_apart_point(X2,reverse_line(X4)) )
        | ( left_apart_point(X1,reverse_line(X4))
          & left_apart_point(X2,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmpVKsXIn/sel_theBenchmark.p_1',div_def) ).

fof(6,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( divides_points(X4,X1,X2)
        & divides_points(X4,X1,X3) )
     => ~ divides_points(X4,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmpVKsXIn/sel_theBenchmark.p_1',con) ).

fof(7,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( divides_points(X4,X1,X2)
          & divides_points(X4,X1,X3) )
       => ~ divides_points(X4,X2,X3) ),
    inference(assume_negation,[status(cth)],[6]) ).

fof(9,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( divides_points(X4,X1,X2)
          & divides_points(X4,X1,X3) )
       => ~ divides_points(X4,X2,X3) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(15,plain,
    ! [X1,X4] :
      ( ~ left_apart_point(X1,X4)
      & ~ left_apart_point(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(16,plain,
    ! [X5,X6] :
      ( ~ left_apart_point(X5,X6)
      & ~ left_apart_point(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[15]) ).

cnf(18,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[16]) ).

fof(19,plain,
    ! [X1,X2,X4] :
      ( ( ~ divides_points(X4,X1,X2)
        | ( left_apart_point(X1,X4)
          & left_apart_point(X2,reverse_line(X4)) )
        | ( left_apart_point(X1,reverse_line(X4))
          & left_apart_point(X2,X4) ) )
      & ( ( ( ~ left_apart_point(X1,X4)
            | ~ left_apart_point(X2,reverse_line(X4)) )
          & ( ~ left_apart_point(X1,reverse_line(X4))
            | ~ left_apart_point(X2,X4) ) )
        | divides_points(X4,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(20,plain,
    ! [X5,X6,X7] :
      ( ( ~ divides_points(X7,X5,X6)
        | ( left_apart_point(X5,X7)
          & left_apart_point(X6,reverse_line(X7)) )
        | ( left_apart_point(X5,reverse_line(X7))
          & left_apart_point(X6,X7) ) )
      & ( ( ( ~ left_apart_point(X5,X7)
            | ~ left_apart_point(X6,reverse_line(X7)) )
          & ( ~ left_apart_point(X5,reverse_line(X7))
            | ~ left_apart_point(X6,X7) ) )
        | divides_points(X7,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[19]) ).

fof(21,plain,
    ! [X5,X6,X7] :
      ( ( left_apart_point(X5,reverse_line(X7))
        | left_apart_point(X5,X7)
        | ~ divides_points(X7,X5,X6) )
      & ( left_apart_point(X6,X7)
        | left_apart_point(X5,X7)
        | ~ divides_points(X7,X5,X6) )
      & ( left_apart_point(X5,reverse_line(X7))
        | left_apart_point(X6,reverse_line(X7))
        | ~ divides_points(X7,X5,X6) )
      & ( left_apart_point(X6,X7)
        | left_apart_point(X6,reverse_line(X7))
        | ~ divides_points(X7,X5,X6) )
      & ( ~ left_apart_point(X5,X7)
        | ~ left_apart_point(X6,reverse_line(X7))
        | divides_points(X7,X5,X6) )
      & ( ~ left_apart_point(X5,reverse_line(X7))
        | ~ left_apart_point(X6,X7)
        | divides_points(X7,X5,X6) ) ),
    inference(distribute,[status(thm)],[20]) ).

cnf(24,plain,
    ( left_apart_point(X3,reverse_line(X1))
    | left_apart_point(X3,X1)
    | ~ divides_points(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(31,negated_conjecture,
    ? [X1,X2,X3,X4] :
      ( divides_points(X4,X1,X2)
      & divides_points(X4,X1,X3)
      & divides_points(X4,X2,X3) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(32,negated_conjecture,
    ? [X5,X6,X7,X8] :
      ( divides_points(X8,X5,X6)
      & divides_points(X8,X5,X7)
      & divides_points(X8,X6,X7) ),
    inference(variable_rename,[status(thm)],[31]) ).

fof(33,negated_conjecture,
    ( divides_points(esk4_0,esk1_0,esk2_0)
    & divides_points(esk4_0,esk1_0,esk3_0)
    & divides_points(esk4_0,esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[32]) ).

cnf(36,negated_conjecture,
    divides_points(esk4_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(40,plain,
    ( left_apart_point(X3,reverse_line(X1))
    | ~ divides_points(X1,X2,X3) ),
    inference(sr,[status(thm)],[24,18,theory(equality)]) ).

cnf(41,plain,
    ~ divides_points(X1,X2,X3),
    inference(sr,[status(thm)],[40,18,theory(equality)]) ).

cnf(42,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[36,41,theory(equality)]) ).

cnf(43,negated_conjecture,
    $false,
    42,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO238+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.22  % Computer : n023.star.cs.uiowa.edu
% 0.02/0.22  % Model    : x86_64 x86_64
% 0.02/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22  % Memory   : 16091.75MB
% 0.02/0.22  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22  % CPULimit : 300
% 0.02/0.22  % DateTime : Fri Apr  1 11:16:08 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.06/0.30  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.30  --creating new selector for [GEO007+0.ax]
% 0.06/0.37  -running prover on /export/starexec/sandbox/tmp/tmpVKsXIn/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.37  -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/tmpVKsXIn/sel_theBenchmark.p_1']
% 0.06/0.37  -prover status Theorem
% 0.06/0.37  Problem theBenchmark.p solved in phase 0.
% 0.06/0.37  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.37  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.37  Solved 1 out of 1.
% 0.06/0.37  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.37  # SZS status Theorem
% 0.06/0.37  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.37  # SZS output end CNFRefutation
%------------------------------------------------------------------------------