TSTP Solution File: GEO257+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO257+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n007.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 13:39:18 EDT 2016

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   56 (  17   ~;   1   |;  32   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   33 (   2 sgn  21   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X1,X3] :
      ~ ( left_apart_point(X1,X3)
        | left_apart_point(X1,reverse_line(X3)) ),
    file('/export/starexec/sandbox/tmp/tmpHqkXFu/sel_theBenchmark.p_1',oag10) ).

fof(12,conjecture,
    ! [X3,X1,X2,X6,X7] :
      ( ( distinct_points(X1,X6)
        & distinct_points(X2,X6)
        & ~ apart_point_and_line(X6,X3)
        & left_apart_point(X7,X3) )
     => ( ( before_on_line(X3,X1,X2)
          & before_on_line(X3,X2,X6) )
       => before_on_line(X3,X1,X6) ) ),
    file('/export/starexec/sandbox/tmp/tmpHqkXFu/sel_theBenchmark.p_1',con) ).

fof(13,negated_conjecture,
    ~ ! [X3,X1,X2,X6,X7] :
        ( ( distinct_points(X1,X6)
          & distinct_points(X2,X6)
          & ~ apart_point_and_line(X6,X3)
          & left_apart_point(X7,X3) )
       => ( ( before_on_line(X3,X1,X2)
            & before_on_line(X3,X2,X6) )
         => before_on_line(X3,X1,X6) ) ),
    inference(assume_negation,[status(cth)],[12]) ).

fof(19,negated_conjecture,
    ~ ! [X3,X1,X2,X6,X7] :
        ( ( distinct_points(X1,X6)
          & distinct_points(X2,X6)
          & ~ apart_point_and_line(X6,X3)
          & left_apart_point(X7,X3) )
       => ( ( before_on_line(X3,X1,X2)
            & before_on_line(X3,X2,X6) )
         => before_on_line(X3,X1,X6) ) ),
    inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).

fof(60,plain,
    ! [X1,X3] :
      ( ~ left_apart_point(X1,X3)
      & ~ left_apart_point(X1,reverse_line(X3)) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(61,plain,
    ! [X4,X5] :
      ( ~ left_apart_point(X4,X5)
      & ~ left_apart_point(X4,reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[60]) ).

cnf(63,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[61]) ).

fof(67,negated_conjecture,
    ? [X3,X1,X2,X6,X7] :
      ( distinct_points(X1,X6)
      & distinct_points(X2,X6)
      & ~ apart_point_and_line(X6,X3)
      & left_apart_point(X7,X3)
      & before_on_line(X3,X1,X2)
      & before_on_line(X3,X2,X6)
      & ~ before_on_line(X3,X1,X6) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(68,negated_conjecture,
    ? [X8,X9,X10,X11,X12] :
      ( distinct_points(X9,X11)
      & distinct_points(X10,X11)
      & ~ apart_point_and_line(X11,X8)
      & left_apart_point(X12,X8)
      & before_on_line(X8,X9,X10)
      & before_on_line(X8,X10,X11)
      & ~ before_on_line(X8,X9,X11) ),
    inference(variable_rename,[status(thm)],[67]) ).

fof(69,negated_conjecture,
    ( distinct_points(esk2_0,esk4_0)
    & distinct_points(esk3_0,esk4_0)
    & ~ apart_point_and_line(esk4_0,esk1_0)
    & left_apart_point(esk5_0,esk1_0)
    & before_on_line(esk1_0,esk2_0,esk3_0)
    & before_on_line(esk1_0,esk3_0,esk4_0)
    & ~ before_on_line(esk1_0,esk2_0,esk4_0) ),
    inference(skolemize,[status(esa)],[68]) ).

cnf(73,negated_conjecture,
    left_apart_point(esk5_0,esk1_0),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(77,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[73,63,theory(equality)]) ).

cnf(78,negated_conjecture,
    $false,
    77,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO257+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.02/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n007.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 16091.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Fri Apr  1 11:26:22 CDT 2016
% 0.03/0.23  % 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]
% 0.07/0.33  -running prover on /export/starexec/sandbox/tmp/tmpHqkXFu/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.33  -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/tmpHqkXFu/sel_theBenchmark.p_1']
% 0.07/0.33  -prover status Theorem
% 0.07/0.33  Problem theBenchmark.p solved in phase 0.
% 0.07/0.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33  % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33  Solved 1 out of 1.
% 0.07/0.33  # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.33  # SZS status Theorem
% 0.07/0.33  # SZS output start CNFRefutation.
% See solution above
% 0.07/0.33  # SZS output end CNFRefutation
%------------------------------------------------------------------------------