TSTP Solution File: CSR037+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR037+3 : 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 06:15:56 EST 2010

% Result   : Theorem 1.18s
% Output   : CNFRefutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  15   ~;  13   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   13 (   0 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/tmp/tmp8fV6qT/sel_CSR037+3.p_1',ax2_1656) ).

fof(5,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/tmp/tmp8fV6qT/sel_CSR037+3.p_1',ax2_915) ).

fof(6,axiom,
    ! [X1,X2,X3] :
      ( ( geographicalsubregions(X1,X2)
        & geographicalsubregions(X2,X3) )
     => geographicalsubregions(X1,X3) ),
    file('/tmp/tmp8fV6qT/sel_CSR037+3.p_1',ax2_7881) ).

fof(10,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/tmp/tmp8fV6qT/sel_CSR037+3.p_1',query137) ).

fof(11,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(assume_negation,[status(cth)],[10]) ).

fof(15,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(fof_nnf,[status(thm)],[2]) ).

cnf(16,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[15]) ).

fof(20,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(fof_nnf,[status(thm)],[5]) ).

cnf(21,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(22,plain,
    ! [X1,X2,X3] :
      ( ~ geographicalsubregions(X1,X2)
      | ~ geographicalsubregions(X2,X3)
      | geographicalsubregions(X1,X3) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(23,plain,
    ! [X4,X5,X6] :
      ( ~ geographicalsubregions(X4,X5)
      | ~ geographicalsubregions(X5,X6)
      | geographicalsubregions(X4,X6) ),
    inference(variable_rename,[status(thm)],[22]) ).

cnf(24,plain,
    ( geographicalsubregions(X1,X2)
    | ~ geographicalsubregions(X3,X2)
    | ~ geographicalsubregions(X1,X3) ),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(31,negated_conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(fof_nnf,[status(thm)],[11]) ).

cnf(32,negated_conjecture,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(split_conjunct,[status(thm)],[31]) ).

cnf(33,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[31]) ).

cnf(34,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | $false ),
    inference(rw,[status(thm)],[16,33,theory(equality)]) ).

cnf(35,plain,
    geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
    inference(cn,[status(thm)],[34,theory(equality)]) ).

cnf(39,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | $false ),
    inference(rw,[status(thm)],[21,33,theory(equality)]) ).

cnf(40,plain,
    geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(cn,[status(thm)],[39,theory(equality)]) ).

cnf(48,plain,
    ( geographicalsubregions(X1,c_georegion_l4_x45_y72)
    | ~ geographicalsubregions(X1,c_georegion_l3_x15_y24) ),
    inference(spm,[status(thm)],[24,35,theory(equality)]) ).

cnf(51,negated_conjecture,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(spm,[status(thm)],[32,48,theory(equality)]) ).

cnf(53,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[51,40,theory(equality)]) ).

cnf(54,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[53,theory(equality)]) ).

cnf(55,negated_conjecture,
    $false,
    54,
    [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/CSR037+3.p
% --creating new selector for [CSR002+2.ax]
% -running prover on /tmp/tmp8fV6qT/sel_CSR037+3.p_1 with time limit 29
% -prover status Theorem
% Problem CSR037+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR037+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR037+3.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
% 
%------------------------------------------------------------------------------