TSTP Solution File: CSR074+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR074+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 06:45:44 EST 2010

% Result   : Theorem 0.18s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   48 (  14 unt;   0 def)
%            Number of atoms       :   93 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   78 (  33   ~;  32   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   29 (   0 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(8,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
      & geolevel_3(c_georegion_l3_x17_y24) ) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',query74) ).

fof(10,axiom,
    ! [X1,X2,X3] :
      ( ( inregion(X1,X2)
        & inregion(X2,X3) )
     => inregion(X1,X3) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just41) ).

fof(30,axiom,
    ! [X6,X5] :
      ( geographicalsubregions(X6,X5)
     => inregion(X5,X6) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just5) ).

fof(32,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just9) ).

fof(33,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just8) ).

fof(37,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just12) ).

fof(38,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just11) ).

fof(39,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just10) ).

fof(57,axiom,
    ! [X15,X16] :
      ( ( mtvisible(X15)
        & genlmt(X15,X16) )
     => mtvisible(X16) ),
    file('/tmp/tmpCig0l8/sel_CSR074+1.p_1',just49) ).

fof(59,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
        & geolevel_3(c_georegion_l3_x17_y24) ) ),
    inference(assume_negation,[status(cth)],[8]) ).

fof(79,negated_conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
      | ~ geolevel_3(c_georegion_l3_x17_y24) ) ),
    inference(fof_nnf,[status(thm)],[59]) ).

cnf(80,negated_conjecture,
    ( ~ geolevel_3(c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(split_conjunct,[status(thm)],[79]) ).

cnf(81,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[79]) ).

fof(85,plain,
    ! [X1,X2,X3] :
      ( ~ inregion(X1,X2)
      | ~ inregion(X2,X3)
      | inregion(X1,X3) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(86,plain,
    ! [X4,X5,X6] :
      ( ~ inregion(X4,X5)
      | ~ inregion(X5,X6)
      | inregion(X4,X6) ),
    inference(variable_rename,[status(thm)],[85]) ).

cnf(87,plain,
    ( inregion(X1,X2)
    | ~ inregion(X3,X2)
    | ~ inregion(X1,X3) ),
    inference(split_conjunct,[status(thm)],[86]) ).

fof(135,plain,
    ! [X6,X5] :
      ( ~ geographicalsubregions(X6,X5)
      | inregion(X5,X6) ),
    inference(fof_nnf,[status(thm)],[30]) ).

fof(136,plain,
    ! [X7,X8] :
      ( ~ geographicalsubregions(X7,X8)
      | inregion(X8,X7) ),
    inference(variable_rename,[status(thm)],[135]) ).

cnf(137,plain,
    ( inregion(X1,X2)
    | ~ geographicalsubregions(X2,X1) ),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(139,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(split_conjunct,[status(thm)],[32]) ).

cnf(140,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(150,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(fof_nnf,[status(thm)],[37]) ).

cnf(151,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[150]) ).

fof(152,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(fof_nnf,[status(thm)],[38]) ).

cnf(153,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[152]) ).

fof(154,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(fof_nnf,[status(thm)],[39]) ).

cnf(155,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(split_conjunct,[status(thm)],[154]) ).

fof(205,plain,
    ! [X15,X16] :
      ( ~ mtvisible(X15)
      | ~ genlmt(X15,X16)
      | mtvisible(X16) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(206,plain,
    ! [X17,X18] :
      ( ~ mtvisible(X17)
      | ~ genlmt(X17,X18)
      | mtvisible(X18) ),
    inference(variable_rename,[status(thm)],[205]) ).

cnf(207,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[206]) ).

cnf(211,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | $false ),
    inference(rw,[status(thm)],[151,81,theory(equality)]) ).

cnf(212,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
    inference(cn,[status(thm)],[211,theory(equality)]) ).

cnf(213,negated_conjecture,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(spm,[status(thm)],[80,155,theory(equality)]) ).

cnf(216,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | $false ),
    inference(rw,[status(thm)],[153,81,theory(equality)]) ).

cnf(217,plain,
    geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
    inference(cn,[status(thm)],[216,theory(equality)]) ).

cnf(221,plain,
    inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24),
    inference(spm,[status(thm)],[137,217,theory(equality)]) ).

cnf(223,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(spm,[status(thm)],[207,139,theory(equality)]) ).

cnf(226,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(spm,[status(thm)],[207,140,theory(equality)]) ).

cnf(230,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[223,81,theory(equality)]) ).

cnf(231,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(cn,[status(thm)],[230,theory(equality)]) ).

cnf(260,plain,
    ( inregion(X1,c_georegion_l3_x17_y24)
    | ~ inregion(X1,c_georegion_l4_x53_y74) ),
    inference(spm,[status(thm)],[87,221,theory(equality)]) ).

cnf(285,plain,
    ( mtvisible(c_worldgeographymt)
    | $false ),
    inference(rw,[status(thm)],[226,231,theory(equality)]) ).

cnf(286,plain,
    mtvisible(c_worldgeographymt),
    inference(cn,[status(thm)],[285,theory(equality)]) ).

cnf(291,negated_conjecture,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | $false ),
    inference(rw,[status(thm)],[213,286,theory(equality)]) ).

cnf(292,negated_conjecture,
    ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(cn,[status(thm)],[291,theory(equality)]) ).

cnf(393,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(spm,[status(thm)],[260,212,theory(equality)]) ).

cnf(396,plain,
    $false,
    inference(sr,[status(thm)],[393,292,theory(equality)]) ).

cnf(397,plain,
    $false,
    396,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR074+1.p
% --creating new selector for [CSR002+0.ax]
% -running prover on /tmp/tmpCig0l8/sel_CSR074+1.p_1 with time limit 29
% -prover status Theorem
% Problem CSR074+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR074+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR074+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
% 
%------------------------------------------------------------------------------