TSTP Solution File: GEO264+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO264+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : n025.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      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  10   ~;   1   |;  13   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (   2 sgn  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1,X3] :
      ~ ( left_apart_point(X1,X3)
        | left_apart_point(X1,reverse_line(X3)) ),
    file('/export/starexec/sandbox/tmp/tmpii51ce/sel_theBenchmark.p_1',oag10) ).

fof(9,conjecture,
    ! [X1,X2,X6,X7] :
      ( left_apart_point(X6,line_connecting(X1,X2))
     => ( ( left_apart_point(X7,reverse_line(line_connecting(X2,X6)))
          & left_apart_point(X7,reverse_line(line_connecting(X6,X1))) )
       => left_apart_point(X7,line_connecting(X1,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmpii51ce/sel_theBenchmark.p_1',con) ).

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

fof(33,plain,
    ! [X1,X3] :
      ( ~ left_apart_point(X1,X3)
      & ~ left_apart_point(X1,reverse_line(X3)) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(34,plain,
    ! [X4,X5] :
      ( ~ left_apart_point(X4,X5)
      & ~ left_apart_point(X4,reverse_line(X5)) ),
    inference(variable_rename,[status(thm)],[33]) ).

cnf(36,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[34]) ).

fof(40,negated_conjecture,
    ? [X1,X2,X6,X7] :
      ( left_apart_point(X6,line_connecting(X1,X2))
      & left_apart_point(X7,reverse_line(line_connecting(X2,X6)))
      & left_apart_point(X7,reverse_line(line_connecting(X6,X1)))
      & ~ left_apart_point(X7,line_connecting(X1,X2)) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(41,negated_conjecture,
    ? [X8,X9,X10,X11] :
      ( left_apart_point(X10,line_connecting(X8,X9))
      & left_apart_point(X11,reverse_line(line_connecting(X9,X10)))
      & left_apart_point(X11,reverse_line(line_connecting(X10,X8)))
      & ~ left_apart_point(X11,line_connecting(X8,X9)) ),
    inference(variable_rename,[status(thm)],[40]) ).

fof(42,negated_conjecture,
    ( left_apart_point(esk3_0,line_connecting(esk1_0,esk2_0))
    & left_apart_point(esk4_0,reverse_line(line_connecting(esk2_0,esk3_0)))
    & left_apart_point(esk4_0,reverse_line(line_connecting(esk3_0,esk1_0)))
    & ~ left_apart_point(esk4_0,line_connecting(esk1_0,esk2_0)) ),
    inference(skolemize,[status(esa)],[41]) ).

cnf(46,negated_conjecture,
    left_apart_point(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[42]) ).

cnf(47,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[46,36,theory(equality)]) ).

cnf(48,negated_conjecture,
    $false,
    47,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO264+1 : TPTP v6.4.0. Bugfixed v6.4.0.
% 0.00/0.04  % Command  : Source/sine.py -e eprover -t %d %s
% 0.03/0.23  % Computer : n025.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 11:34:22 CDT 2016
% 0.03/0.23  % CPUTime  : 
% 0.03/0.27  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28  --creating new selector for [GEO007+0.ax]
% 0.07/0.33  -running prover on /export/starexec/sandbox/tmp/tmpii51ce/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/tmpii51ce/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
% 0.07/0.34  Solved 1 out of 1.
% 0.07/0.34  # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.34  # SZS status Theorem
% 0.07/0.34  # SZS output start CNFRefutation.
% See solution above
% 0.07/0.34  # SZS output end CNFRefutation
%------------------------------------------------------------------------------