TSTP Solution File: CSR029+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR029+2 : TPTP v5.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 06:04:04 EST 2010

% Result   : Theorem 0.33s
% Output   : CNFRefutation 0.33s
% 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(1,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_212) ).

fof(3,axiom,
    ! [X1,X2,X3] :
      ( ( inregion(X1,X2)
        & inregion(X2,X3) )
     => inregion(X1,X3) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_933) ).

fof(6,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_282) ).

fof(9,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_121) ).

fof(13,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_326) ).

fof(15,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_337) ).

fof(16,axiom,
    ! [X7,X8] :
      ( ( mtvisible(X7)
        & genlmt(X7,X8) )
     => mtvisible(X8) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_1123) ).

fof(17,axiom,
    ! [X6,X5] :
      ( geographicalsubregions(X6,X5)
     => inregion(X5,X6) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',ax1_128) ).

fof(19,conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
   => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
      & geolevel_3(c_georegion_l3_x4_y13) ) ),
    file('/tmp/tmpV2IHt4/sel_CSR029+2.p_1',query79) ).

fof(20,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
        & geolevel_3(c_georegion_l3_x4_y13) ) ),
    inference(assume_negation,[status(cth)],[19]) ).

cnf(22,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(split_conjunct,[status(thm)],[1]) ).

fof(26,plain,
    ! [X1,X2,X3] :
      ( ~ inregion(X1,X2)
      | ~ inregion(X2,X3)
      | inregion(X1,X3) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(27,plain,
    ! [X4,X5,X6] :
      ( ~ inregion(X4,X5)
      | ~ inregion(X5,X6)
      | inregion(X4,X6) ),
    inference(variable_rename,[status(thm)],[26]) ).

cnf(28,plain,
    ( inregion(X1,X2)
    | ~ inregion(X3,X2)
    | ~ inregion(X1,X3) ),
    inference(split_conjunct,[status(thm)],[27]) ).

fof(35,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    inference(fof_nnf,[status(thm)],[6]) ).

cnf(36,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(split_conjunct,[status(thm)],[35]) ).

fof(41,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x4_y13) ),
    inference(fof_nnf,[status(thm)],[9]) ).

cnf(42,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(split_conjunct,[status(thm)],[41]) ).

cnf(51,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(split_conjunct,[status(thm)],[13]) ).

fof(55,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    inference(fof_nnf,[status(thm)],[15]) ).

cnf(56,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(split_conjunct,[status(thm)],[55]) ).

fof(57,plain,
    ! [X7,X8] :
      ( ~ mtvisible(X7)
      | ~ genlmt(X7,X8)
      | mtvisible(X8) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(58,plain,
    ! [X9,X10] :
      ( ~ mtvisible(X9)
      | ~ genlmt(X9,X10)
      | mtvisible(X10) ),
    inference(variable_rename,[status(thm)],[57]) ).

cnf(59,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[58]) ).

fof(60,plain,
    ! [X6,X5] :
      ( ~ geographicalsubregions(X6,X5)
      | inregion(X5,X6) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(61,plain,
    ! [X7,X8] :
      ( ~ geographicalsubregions(X7,X8)
      | inregion(X8,X7) ),
    inference(variable_rename,[status(thm)],[60]) ).

cnf(62,plain,
    ( inregion(X1,X2)
    | ~ geographicalsubregions(X2,X1) ),
    inference(split_conjunct,[status(thm)],[61]) ).

fof(66,negated_conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
    & ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
      | ~ geolevel_3(c_georegion_l3_x4_y13) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

cnf(67,negated_conjecture,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(split_conjunct,[status(thm)],[66]) ).

cnf(68,negated_conjecture,
    mtvisible(c_tptpgeo_member3_mt),
    inference(split_conjunct,[status(thm)],[66]) ).

cnf(69,negated_conjecture,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(spm,[status(thm)],[67,42,theory(equality)]) ).

cnf(70,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | $false ),
    inference(rw,[status(thm)],[36,68,theory(equality)]) ).

cnf(71,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
    inference(cn,[status(thm)],[70,theory(equality)]) ).

cnf(72,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | $false ),
    inference(rw,[status(thm)],[56,68,theory(equality)]) ).

cnf(73,plain,
    geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
    inference(cn,[status(thm)],[72,theory(equality)]) ).

cnf(76,plain,
    inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
    inference(spm,[status(thm)],[62,73,theory(equality)]) ).

cnf(77,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(spm,[status(thm)],[59,22,theory(equality)]) ).

cnf(78,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(spm,[status(thm)],[59,51,theory(equality)]) ).

cnf(80,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[77,68,theory(equality)]) ).

cnf(81,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(cn,[status(thm)],[80,theory(equality)]) ).

cnf(89,plain,
    ( inregion(X1,c_georegion_l3_x4_y13)
    | ~ inregion(X1,c_georegion_l4_x14_y39) ),
    inference(spm,[status(thm)],[28,76,theory(equality)]) ).

cnf(97,plain,
    ( mtvisible(c_worldgeographymt)
    | $false ),
    inference(rw,[status(thm)],[78,81,theory(equality)]) ).

cnf(98,plain,
    mtvisible(c_worldgeographymt),
    inference(cn,[status(thm)],[97,theory(equality)]) ).

cnf(99,negated_conjecture,
    ( $false
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(rw,[status(thm)],[69,98,theory(equality)]) ).

cnf(100,negated_conjecture,
    ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
    inference(cn,[status(thm)],[99,theory(equality)]) ).

cnf(122,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
    inference(spm,[status(thm)],[89,71,theory(equality)]) ).

cnf(125,plain,
    $false,
    inference(sr,[status(thm)],[122,100,theory(equality)]) ).

cnf(126,plain,
    $false,
    125,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR029+2.p
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmpV2IHt4/sel_CSR029+2.p_1 with time limit 29
% -prover status Theorem
% Problem CSR029+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR029+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR029+2.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
% 
%------------------------------------------------------------------------------