TSTP Solution File: CSR037+2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : CSR037+2 : TPTP v3.4.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:40:24 EDT 2009

% Result   : Theorem 11.8s
% Output   : Refutation 11.8s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;   9   |;   1   &)
%                                         (   0 <=>;   0  =>;   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   :    7 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(query87,plain,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),
    [] ).

cnf(233421200,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(rewrite,[status(thm)],[query87]),
    [] ).

fof(ax1_1041,plain,
    ! [A,B,C] :
      ( ~ geographicalsubregions(A,B)
      | ~ geographicalsubregions(B,C)
      | geographicalsubregions(A,C) ),
    file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),
    [] ).

cnf(230352096,plain,
    ( ~ geographicalsubregions(A,B)
    | ~ geographicalsubregions(B,C)
    | geographicalsubregions(A,C) ),
    inference(rewrite,[status(thm)],[ax1_1041]),
    [] ).

cnf(233493672,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(rewrite,[status(thm)],[query87]),
    [] ).

fof(ax1_188,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),
    [] ).

cnf(190153736,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(rewrite,[status(thm)],[ax1_188]),
    [] ).

cnf(362435808,plain,
    geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
    inference(resolution,[status(thm)],[233493672,190153736]),
    [] ).

cnf(363173448,plain,
    ( ~ geographicalsubregions(A,c_georegion_l3_x15_y24)
    | geographicalsubregions(A,c_georegion_l4_x45_y72) ),
    inference(resolution,[status(thm)],[230352096,362435808]),
    [] ).

fof(ax1_276,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),
    [] ).

cnf(193790184,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(rewrite,[status(thm)],[ax1_276]),
    [] ).

cnf(366294528,plain,
    geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
    inference(resolution,[status(thm)],[233493672,193790184]),
    [] ).

cnf(378057824,plain,
    geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(resolution,[status(thm)],[363173448,366294528]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[233421200,378057824]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 11 seconds
% START OF PROOF SEQUENCE
% fof(query87,plain,((mtvisible(c_tptpgeo_member7_mt)&~geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72))),file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),[]).
% 
% cnf(233421200,plain,(~geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)),inference(rewrite,[status(thm)],[query87]),[]).
% 
% fof(ax1_1041,plain,(~geographicalsubregions(A,B)|~geographicalsubregions(B,C)|geographicalsubregions(A,C)),file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),[]).
% 
% cnf(230352096,plain,(~geographicalsubregions(A,B)|~geographicalsubregions(B,C)|geographicalsubregions(A,C)),inference(rewrite,[status(thm)],[ax1_1041]),[]).
% 
% cnf(233493672,plain,(mtvisible(c_tptpgeo_member7_mt)),inference(rewrite,[status(thm)],[query87]),[]).
% 
% fof(ax1_188,plain,(~mtvisible(c_tptpgeo_member7_mt)|geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)),file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),[]).
% 
% cnf(190153736,plain,(~mtvisible(c_tptpgeo_member7_mt)|geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)),inference(rewrite,[status(thm)],[ax1_188]),[]).
% 
% cnf(362435808,plain,(geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)),inference(resolution,[status(thm)],[233493672,190153736]),[]).
% 
% cnf(363173448,plain,(~geographicalsubregions(A,c_georegion_l3_x15_y24)|geographicalsubregions(A,c_georegion_l4_x45_y72)),inference(resolution,[status(thm)],[230352096,362435808]),[]).
% 
% fof(ax1_276,plain,(~mtvisible(c_tptpgeo_member7_mt)|geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)),file('/tmp/SystemOnTPTP12332/CSR037+2.p',unknown),[]).
% 
% cnf(193790184,plain,(~mtvisible(c_tptpgeo_member7_mt)|geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)),inference(rewrite,[status(thm)],[ax1_276]),[]).
% 
% cnf(366294528,plain,(geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)),inference(resolution,[status(thm)],[233493672,193790184]),[]).
% 
% cnf(378057824,plain,(geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)),inference(resolution,[status(thm)],[363173448,366294528]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[233421200,378057824]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------