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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR074+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.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 12:13:27 PM UTC 2026

% Result   : Theorem 138.77s 19.00s
% Output   : CNFRefutation 141.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (  13 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (  32   ~;  27   |;   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   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f895,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9729,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11699,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16893,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18015,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43403,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44208,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => ( geolevel_3(c_georegion_l3_x17_y24)
      & inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => ( geolevel_3(c_georegion_l3_x17_y24)
        & inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44263,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f45333,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f895]) ).

fof(f45334,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(cnf_transformation,[status(thm)],[f45333]) ).

fof(f56456,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f9729]) ).

fof(f56457,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f56456]) ).

fof(f58906,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(thm)],[f11699]) ).

fof(f65413,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f16893]) ).

fof(f65414,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(cnf_transformation,[status(thm)],[f65413]) ).

fof(f66826,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f18015]) ).

fof(f66827,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X1,X0)
      | inregion(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f66826]) ).

fof(f109160,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f43403]) ).

fof(f109161,plain,
    ! [X,Z] :
      ( inregion(X,Z)
      | ! [Y] :
          ( ~ inregion(Y,Z)
          | ~ inregion(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f109160]) ).

fof(f109162,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f109161]) ).

fof(f110715,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f44208]) ).

fof(f110716,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f110715]) ).

fof(f110717,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X1)
      | ~ genlmt(X1,X0)
      | mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f110716]) ).

fof(f110738,plain,
    ( ( ~ geolevel_3(c_georegion_l3_x17_y24)
      | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) )
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f44218]) ).

fof(f110739,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(thm)],[f110738]) ).

fof(f110740,plain,
    ( ~ geolevel_3(c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[status(thm)],[f110738]) ).

fof(f110748,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_member7_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f110739,f110717]) ).

fof(f110794,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
    inference(forward_subsumption_resolution,[status(thm)],[f45334,f110739]) ).

fof(f111867,plain,
    geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
    inference(forward_subsumption_resolution,[status(thm)],[f65414,f110739]) ).

fof(f111969,plain,
    ! [X0,X1,X2] :
      ( ~ inregion(X0,X2)
      | ~ geographicalsubregions(X1,X2)
      | inregion(X0,X1) ),
    inference(resolution,[status(thm)],[f66827,f109162]) ).

fof(f112413,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(resolution,[status(thm)],[f110748,f44263]) ).

fof(f112541,plain,
    ! [X0] :
      ( ~ geographicalsubregions(X0,c_georegion_l4_x53_y74)
      | inregion(c_geolocation_x53_y74,X0) ),
    inference(resolution,[status(thm)],[f111969,f110794]) ).

fof(f112547,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_spindleheadmt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f112413,f110717]) ).

fof(f112596,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(resolution,[status(thm)],[f112541,f111867]) ).

fof(f112636,plain,
    ~ geolevel_3(c_georegion_l3_x17_y24),
    inference(backward_subsumption_resolution,[status(thm)],[f110740,f112596]) ).

fof(f112660,plain,
    ~ mtvisible(c_worldgeographymt),
    inference(backward_subsumption_resolution,[status(thm)],[f56457,f112636]) ).

fof(f128987,plain,
    mtvisible(c_worldgeographymt),
    inference(resolution,[status(thm)],[f58906,f112547]) ).

fof(f128990,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f128987,f112660]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR074+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n014.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 21 14:47:06 UTC 2026
% 0.17/0.44  % CPUTime  : 
% 0.96/1.25  % Drodi V4.1.1
% 138.77/19.00  % Refutation found
% 138.77/19.00  % SZS status Theorem for theBenchmark: Theorem is valid
% 138.77/19.00  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.26/19.67  % Elapsed time: 19.165099 seconds
% 7.26/19.67  % CPU time: 142.281229 seconds
% 7.26/19.67  % Total memory used: 2.075 GB
% 7.26/19.67  % Net memory used: 2.061 GB
%------------------------------------------------------------------------------