TSTP Solution File: CSR074+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : CSR074+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 06:45:48 EST 2010

% Result   : Theorem 5.09s
% Output   : CNFRefutation 5.09s
% 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(34,axiom,
    ! [X3,X4] :
      ( geographicalsubregions(X3,X4)
     => inregion(X4,X3) ),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_128) ).

fof(61,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_326) ).

fof(92,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_472) ).

fof(105,axiom,
    ! [X11,X12] :
      ( ( mtvisible(X11)
        & genlmt(X11,X12) )
     => mtvisible(X12) ),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_1123) ).

fof(202,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_63) ).

fof(389,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_478) ).

fof(463,axiom,
    ! [X2,X9,X10] :
      ( ( inregion(X2,X9)
        & inregion(X9,X10) )
     => inregion(X2,X10) ),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_933) ).

fof(509,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/tmp/tmp_kTXIZ/sel_CSR074+2.p_5',ax1_82) ).

fof(749,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/tmp_kTXIZ/sel_CSR074+2.p_5',query124) ).

fof(750,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)],[749]) ).

fof(829,plain,
    ! [X3,X4] :
      ( ~ geographicalsubregions(X3,X4)
      | inregion(X4,X3) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(830,plain,
    ! [X5,X6] :
      ( ~ geographicalsubregions(X5,X6)
      | inregion(X6,X5) ),
    inference(variable_rename,[status(thm)],[829]) ).

cnf(831,plain,
    ( inregion(X1,X2)
    | ~ geographicalsubregions(X2,X1) ),
    inference(split_conjunct,[status(thm)],[830]) ).

cnf(904,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(split_conjunct,[status(thm)],[61]) ).

fof(973,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(fof_nnf,[status(thm)],[92]) ).

cnf(974,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[973]) ).

fof(1011,plain,
    ! [X11,X12] :
      ( ~ mtvisible(X11)
      | ~ genlmt(X11,X12)
      | mtvisible(X12) ),
    inference(fof_nnf,[status(thm)],[105]) ).

fof(1012,plain,
    ! [X13,X14] :
      ( ~ mtvisible(X13)
      | ~ genlmt(X13,X14)
      | mtvisible(X14) ),
    inference(variable_rename,[status(thm)],[1011]) ).

cnf(1013,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[1012]) ).

cnf(1275,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(split_conjunct,[status(thm)],[202]) ).

fof(1753,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(fof_nnf,[status(thm)],[389]) ).

cnf(1754,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(split_conjunct,[status(thm)],[1753]) ).

fof(1942,plain,
    ! [X2,X9,X10] :
      ( ~ inregion(X2,X9)
      | ~ inregion(X9,X10)
      | inregion(X2,X10) ),
    inference(fof_nnf,[status(thm)],[463]) ).

fof(1943,plain,
    ! [X11,X12,X13] :
      ( ~ inregion(X11,X12)
      | ~ inregion(X12,X13)
      | inregion(X11,X13) ),
    inference(variable_rename,[status(thm)],[1942]) ).

cnf(1944,plain,
    ( inregion(X1,X2)
    | ~ inregion(X3,X2)
    | ~ inregion(X1,X3) ),
    inference(split_conjunct,[status(thm)],[1943]) ).

fof(2055,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(fof_nnf,[status(thm)],[509]) ).

cnf(2056,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(split_conjunct,[status(thm)],[2055]) ).

fof(2631,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)],[750]) ).

cnf(2632,negated_conjecture,
    ( ~ geolevel_3(c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(split_conjunct,[status(thm)],[2631]) ).

cnf(2633,negated_conjecture,
    mtvisible(c_tptpgeo_member7_mt),
    inference(split_conjunct,[status(thm)],[2631]) ).

cnf(2634,negated_conjecture,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(spm,[status(thm)],[2632,1754,theory(equality)]) ).

cnf(2635,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | $false ),
    inference(rw,[status(thm)],[2056,2633,theory(equality)]) ).

cnf(2636,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
    inference(cn,[status(thm)],[2635,theory(equality)]) ).

cnf(2641,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | $false ),
    inference(rw,[status(thm)],[974,2633,theory(equality)]) ).

cnf(2642,plain,
    geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
    inference(cn,[status(thm)],[2641,theory(equality)]) ).

cnf(2675,plain,
    inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24),
    inference(spm,[status(thm)],[831,2642,theory(equality)]) ).

cnf(2677,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(spm,[status(thm)],[1013,1275,theory(equality)]) ).

cnf(2679,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(spm,[status(thm)],[1013,904,theory(equality)]) ).

cnf(2686,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | $false ),
    inference(rw,[status(thm)],[2677,2633,theory(equality)]) ).

cnf(2687,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(cn,[status(thm)],[2686,theory(equality)]) ).

cnf(4250,plain,
    ( inregion(X1,c_georegion_l3_x17_y24)
    | ~ inregion(X1,c_georegion_l4_x53_y74) ),
    inference(spm,[status(thm)],[1944,2675,theory(equality)]) ).

cnf(4309,plain,
    ( mtvisible(c_worldgeographymt)
    | $false ),
    inference(rw,[status(thm)],[2679,2687,theory(equality)]) ).

cnf(4310,plain,
    mtvisible(c_worldgeographymt),
    inference(cn,[status(thm)],[4309,theory(equality)]) ).

cnf(4311,negated_conjecture,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | $false ),
    inference(rw,[status(thm)],[2634,4310,theory(equality)]) ).

cnf(4312,negated_conjecture,
    ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(cn,[status(thm)],[4311,theory(equality)]) ).

cnf(16654,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(spm,[status(thm)],[4250,2636,theory(equality)]) ).

cnf(16658,plain,
    $false,
    inference(sr,[status(thm)],[16654,4312,theory(equality)]) ).

cnf(16659,plain,
    $false,
    16658,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/CSR/CSR074+2.p
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_kTXIZ/sel_CSR074+2.p_1 with time limit 29
% -prover status CounterSatisfiable
% -running prover on /tmp/tmp_kTXIZ/sel_CSR074+2.p_2 with time limit 89
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_kTXIZ/sel_CSR074+2.p_3 with time limit 119
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_kTXIZ/sel_CSR074+2.p_4 with time limit 149
% -prover status CounterSatisfiable
% --creating new selector for [CSR002+1.ax]
% -running prover on /tmp/tmp_kTXIZ/sel_CSR074+2.p_5 with time limit 299
% -prover status Theorem
% Problem CSR074+2.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/CSR/CSR074+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/CSR/CSR074+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
% 
%------------------------------------------------------------------------------