TSTP Solution File: GEO242+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO242+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      :    2
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  17   ~;   1   |;  17   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   2 sgn  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(12,axiom,
    ! [X3,X4] :
      ~ ( left_convergent_lines(X3,X4)
        | left_convergent_lines(X3,reverse_line(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp6uK59A/sel_theBenchmark.p_1',oag11) ).

fof(15,conjecture,
    ! [X1,X2,X3] :
      ( ( ~ apart_point_and_line(X1,X3)
        & distinct_points(X1,X2)
        & left_convergent_lines(X3,reverse_line(line_connecting(X1,X2))) )
     => left_apart_point(X2,reverse_line(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp6uK59A/sel_theBenchmark.p_1',con) ).

fof(16,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ apart_point_and_line(X1,X3)
          & distinct_points(X1,X2)
          & left_convergent_lines(X3,reverse_line(line_connecting(X1,X2))) )
       => left_apart_point(X2,reverse_line(X3)) ),
    inference(assume_negation,[status(cth)],[15]) ).

fof(21,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ apart_point_and_line(X1,X3)
          & distinct_points(X1,X2)
          & left_convergent_lines(X3,reverse_line(line_connecting(X1,X2))) )
       => left_apart_point(X2,reverse_line(X3)) ),
    inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).

fof(61,plain,
    ! [X3,X4] :
      ( ~ left_convergent_lines(X3,X4)
      & ~ left_convergent_lines(X3,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(62,plain,
    ! [X5,X6] :
      ( ~ left_convergent_lines(X5,X6)
      & ~ left_convergent_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[61]) ).

cnf(64,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[62]) ).

fof(72,negated_conjecture,
    ? [X1,X2,X3] :
      ( ~ apart_point_and_line(X1,X3)
      & distinct_points(X1,X2)
      & left_convergent_lines(X3,reverse_line(line_connecting(X1,X2)))
      & ~ left_apart_point(X2,reverse_line(X3)) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(73,negated_conjecture,
    ? [X4,X5,X6] :
      ( ~ apart_point_and_line(X4,X6)
      & distinct_points(X4,X5)
      & left_convergent_lines(X6,reverse_line(line_connecting(X4,X5)))
      & ~ left_apart_point(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[72]) ).

fof(74,negated_conjecture,
    ( ~ apart_point_and_line(esk1_0,esk3_0)
    & distinct_points(esk1_0,esk2_0)
    & left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0)))
    & ~ left_apart_point(esk2_0,reverse_line(esk3_0)) ),
    inference(skolemize,[status(esa)],[73]) ).

cnf(76,negated_conjecture,
    left_convergent_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[74]) ).

cnf(79,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[76,64,theory(equality)]) ).

cnf(80,negated_conjecture,
    $false,
    79,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO242+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 11:17:38 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]
% 0.06/0.34  -running prover on /export/starexec/sandbox/tmp/tmp6uK59A/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.34  -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/tmp6uK59A/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/sandbox/benchmark/theBenchmark.p
% 0.06/0.34  % SZS status Ended for /export/starexec/sandbox/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
%------------------------------------------------------------------------------