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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR029+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:12:54 PM UTC 2026

% Result   : Theorem 0.15s 0.84s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (   9 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   97 (  47   ~;  37   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f128,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f212,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f282,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f326,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f337,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f933,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1123,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
   => ( geolevel_3(c_georegion_l3_x4_y13)
      & inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( geolevel_3(c_georegion_l3_x4_y13)
        & inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1309,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f121]) ).

fof(f1310,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f1309]) ).

fof(f1320,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f128]) ).

fof(f1321,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1320]) ).

fof(f1444,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f212]) ).

fof(f1543,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f282]) ).

fof(f1544,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[status(thm)],[f1543]) ).

fof(f1611,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(thm)],[f326]) ).

fof(f1625,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f337]) ).

fof(f1626,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[status(thm)],[f1625]) ).

fof(f2765,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f933]) ).

fof(f2766,plain,
    ! [X,Z] :
      ( inregion(X,Z)
      | ! [Y] :
          ( ~ inregion(Y,Z)
          | ~ inregion(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f2765]) ).

fof(f2767,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f2766]) ).

fof(f3181,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f1123]) ).

fof(f3182,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f3181]) ).

fof(f3183,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f3182]) ).

fof(f3204,plain,
    ( ( ~ geolevel_3(c_georegion_l3_x4_y13)
      | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )
    & mtvisible(c_tptpgeo_member3_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f1133]) ).

fof(f3205,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[status(thm)],[f3204]) ).

fof(f3206,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[status(thm)],[f3204]) ).

fof(f3207,plain,
    geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
    inference(backward_subsumption_resolution,[status(thm)],[f1626,f3205]) ).

fof(f3208,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
    inference(backward_subsumption_resolution,[status(thm)],[f1544,f3205]) ).

fof(f3209,plain,
    ! [X0] :
      ( geolevel_3(c_georegion_l3_x4_y13)
      | ~ genlmt(X0,c_worldgeographymt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3183,f1310]) ).

fof(f3228,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f1611,f3209]) ).

fof(f3229,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f3228,f3206]) ).

fof(f3230,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptpgeo_spindleheadmt)
      | ~ mtvisible(X0)
      | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(resolution,[status(thm)],[f3229,f3183]) ).

fof(f3231,plain,
    ! [X0,X1] :
      ( ~ inregion(X1,c_georegion_l3_x4_y13)
      | ~ inregion(c_geolocation_x14_y39,X1)
      | ~ genlmt(X0,c_tptpgeo_spindleheadmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3230,f2767]) ).

fof(f3234,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(c_georegion_l3_x4_y13,X1)
      | ~ inregion(c_geolocation_x14_y39,X1)
      | ~ genlmt(X0,c_tptpgeo_spindleheadmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3231,f1321]) ).

fof(f3235,plain,
    ! [X0] :
      ( ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
      | ~ genlmt(X0,c_tptpgeo_spindleheadmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3234,f3207]) ).

fof(f3236,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptpgeo_spindleheadmt)
      | ~ mtvisible(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3235,f3208]) ).

fof(f3239,plain,
    ~ mtvisible(c_tptpgeo_member3_mt),
    inference(resolution,[status(thm)],[f3236,f1444]) ).

fof(f3240,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3239,f3205]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR029+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.78  % Computer : n008.cluster.edu
% 0.10/0.78  % Model    : x86_64 x86_64
% 0.10/0.78  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.78  % Memory   : 8046.5625MB
% 0.10/0.78  % OS       : Linux 6.8.0-71-generic
% 0.10/0.79  % CPULimit : 300
% 0.10/0.79  % WCLimit  : 300
% 0.10/0.79  % DateTime : Mon Sep 21 14:26:10 UTC 2026
% 0.10/0.79  % CPUTime  : 
% 0.15/0.81  % Drodi V4.1.1
% 0.15/0.84  % Refutation found
% 0.15/0.84  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.84  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.88  % Elapsed time: 0.082509 seconds
% 0.15/0.88  % CPU time: 0.239269 seconds
% 0.15/0.88  % Total memory used: 102.423 MB
% 0.15/0.88  % Net memory used: 102.332 MB
%------------------------------------------------------------------------------