TSTP Solution File: CSR067+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR067+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 06:44:21 EST 2010

% Result   : Theorem 0.21s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  10   ~;   6   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (   2 sgn   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ? [X1] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(X1,c_georegion_l4_x29_y75) ),
    file('/tmp/tmpAhj8fF/sel_CSR067+1.p_1',query67) ).

fof(2,axiom,
    ! [X2,X3] :
      ( borderson(X2,X3)
     => borderson(X3,X2) ),
    file('/tmp/tmpAhj8fF/sel_CSR067+1.p_1',just28) ).

fof(14,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    file('/tmp/tmpAhj8fF/sel_CSR067+1.p_1',just1) ).

fof(31,negated_conjecture,
    ~ ? [X1] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(X1,c_georegion_l4_x29_y75) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(33,negated_conjecture,
    ! [X1] :
      ( mtvisible(c_tptpgeo_member7_mt)
      & ~ borderson(X1,c_georegion_l4_x29_y75) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(34,negated_conjecture,
    ! [X2] :
      ( mtvisible(c_tptpgeo_member7_mt)
      & ~ borderson(X2,c_georegion_l4_x29_y75) ),
    inference(variable_rename,[status(thm)],[33]) ).

cnf(35,negated_conjecture,
    ~ borderson(X1,c_georegion_l4_x29_y75),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(36,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[34]) ).

fof(37,plain,
    ! [X2,X3] :
      ( ~ borderson(X2,X3)
      | borderson(X3,X2) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(38,plain,
    ! [X4,X5] :
      ( ~ borderson(X4,X5)
      | borderson(X5,X4) ),
    inference(variable_rename,[status(thm)],[37]) ).

cnf(39,plain,
    ( borderson(X1,X2)
    | ~ borderson(X2,X1) ),
    inference(split_conjunct,[status(thm)],[38]) ).

fof(70,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    inference(fof_nnf,[status(thm)],[14]) ).

cnf(71,plain,
    ( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[70]) ).

cnf(120,plain,
    ( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76)
    | $false ),
    inference(rw,[status(thm)],[71,36,theory(equality)]) ).

cnf(121,plain,
    borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
    inference(cn,[status(thm)],[120,theory(equality)]) ).

cnf(122,negated_conjecture,
    ~ borderson(c_georegion_l4_x29_y75,X1),
    inference(spm,[status(thm)],[35,39,theory(equality)]) ).

cnf(191,plain,
    $false,
    inference(sr,[status(thm)],[121,122,theory(equality)]) ).

cnf(192,plain,
    $false,
    191,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR067+1.p
% --creating new selector for [CSR002+0.ax]
% -running prover on /tmp/tmpAhj8fF/sel_CSR067+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR067+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR067+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR067+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------