TSTP Solution File: GEO247+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO247+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n014.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      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   53 (  10   ~;   1   |;  40   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   32 (   2 sgn  18   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X3,X1] :
      ~ ( left_apart_point(X3,X1)
        | left_apart_point(X3,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmpb9OCX8/sel_theBenchmark.p_1',oag10) ).

fof(9,conjecture,
    ! [X3,X4,X6,X7,X1,X2] :
      ( ( left_apart_point(X3,X1)
        & left_apart_point(X3,X2)
        & left_apart_point(X4,reverse_line(X1))
        & left_apart_point(X4,reverse_line(X2))
        & left_apart_point(X6,X1)
        & left_apart_point(X6,reverse_line(X2))
        & left_apart_point(X7,reverse_line(X1))
        & left_apart_point(X7,X2) )
     => convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmpb9OCX8/sel_theBenchmark.p_1',con) ).

fof(10,negated_conjecture,
    ~ ! [X3,X4,X6,X7,X1,X2] :
        ( ( left_apart_point(X3,X1)
          & left_apart_point(X3,X2)
          & left_apart_point(X4,reverse_line(X1))
          & left_apart_point(X4,reverse_line(X2))
          & left_apart_point(X6,X1)
          & left_apart_point(X6,reverse_line(X2))
          & left_apart_point(X7,reverse_line(X1))
          & left_apart_point(X7,X2) )
       => convergent_lines(X1,X2) ),
    inference(assume_negation,[status(cth)],[9]) ).

fof(36,plain,
    ! [X3,X1] :
      ( ~ left_apart_point(X3,X1)
      & ~ left_apart_point(X3,reverse_line(X1)) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(37,plain,
    ! [X4,X5] :
      ( ~ left_apart_point(X4,X5)
      & ~ left_apart_point(X4,reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[36]) ).

cnf(39,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[37]) ).

fof(43,negated_conjecture,
    ? [X3,X4,X6,X7,X1,X2] :
      ( left_apart_point(X3,X1)
      & left_apart_point(X3,X2)
      & left_apart_point(X4,reverse_line(X1))
      & left_apart_point(X4,reverse_line(X2))
      & left_apart_point(X6,X1)
      & left_apart_point(X6,reverse_line(X2))
      & left_apart_point(X7,reverse_line(X1))
      & left_apart_point(X7,X2)
      & ~ convergent_lines(X1,X2) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(44,negated_conjecture,
    ? [X8,X9,X10,X11,X12,X13] :
      ( left_apart_point(X8,X12)
      & left_apart_point(X8,X13)
      & left_apart_point(X9,reverse_line(X12))
      & left_apart_point(X9,reverse_line(X13))
      & left_apart_point(X10,X12)
      & left_apart_point(X10,reverse_line(X13))
      & left_apart_point(X11,reverse_line(X12))
      & left_apart_point(X11,X13)
      & ~ convergent_lines(X12,X13) ),
    inference(variable_rename,[status(thm)],[43]) ).

fof(45,negated_conjecture,
    ( left_apart_point(esk1_0,esk5_0)
    & left_apart_point(esk1_0,esk6_0)
    & left_apart_point(esk2_0,reverse_line(esk5_0))
    & left_apart_point(esk2_0,reverse_line(esk6_0))
    & left_apart_point(esk3_0,esk5_0)
    & left_apart_point(esk3_0,reverse_line(esk6_0))
    & left_apart_point(esk4_0,reverse_line(esk5_0))
    & left_apart_point(esk4_0,esk6_0)
    & ~ convergent_lines(esk5_0,esk6_0) ),
    inference(skolemize,[status(esa)],[44]) ).

cnf(54,negated_conjecture,
    left_apart_point(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[45]) ).

cnf(55,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[54,39,theory(equality)]) ).

cnf(56,negated_conjecture,
    $false,
    55,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO247+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.03  % Command  : Source/sine.py -e eprover -t %d %s
% 0.02/0.23  % Computer : n014.star.cs.uiowa.edu
% 0.02/0.23  % Model    : x86_64 x86_64
% 0.02/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23  % Memory   : 16091.75MB
% 0.02/0.23  % OS       : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23  % CPULimit : 300
% 0.02/0.23  % DateTime : Fri Apr  1 11:19:23 CDT 2016
% 0.02/0.23  % CPUTime  : 
% 0.02/0.27  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27  --creating new selector for [GEO007+0.ax]
% 0.06/0.34  -running prover on /export/starexec/sandbox2/tmp/tmpb9OCX8/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.34  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpb9OCX8/sel_theBenchmark.p_1']
% 0.06/0.34  -prover status Theorem
% 0.06/0.34  Problem theBenchmark.p solved in phase 0.
% 0.06/0.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34  Solved 1 out of 1.
% 0.06/0.34  # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.34  # SZS status Theorem
% 0.06/0.34  # SZS output start CNFRefutation.
% See solution above
% 0.06/0.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------