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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR074+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (  14 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  29   ~;  25   |;   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   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,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/sandbox/benchmark/theBenchmark.p') ).

fof(f59,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)],[f58]) ).

fof(f64,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f68,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f69,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f70,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f71,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f72,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f73,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f74,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f75,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f152,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f41]) ).

fof(f153,plain,
    ! [X,Z] :
      ( inregion(X,Z)
      | ! [Y] :
          ( ~ inregion(Y,Z)
          | ~ inregion(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f152]) ).

fof(f154,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f173,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f49]) ).

fof(f174,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f173]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f174]) ).

fof(f196,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)],[f59]) ).

fof(f197,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f198,plain,
    ( ~ geolevel_3(c_georegion_l3_x17_y24)
    | ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f199,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
    inference(forward_subsumption_resolution,[status(thm)],[f75,f197]) ).

fof(f204,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f68,f175]) ).

fof(f205,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(resolution,[status(thm)],[f69,f175]) ).

fof(f206,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(forward_subsumption_resolution,[status(thm)],[f205,f197]) ).

fof(f207,plain,
    mtvisible(c_worldgeographymt),
    inference(backward_subsumption_resolution,[status(thm)],[f204,f206]) ).

fof(f214,plain,
    ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(backward_subsumption_resolution,[status(thm)],[f198,f215]) ).

fof(f215,plain,
    geolevel_3(c_georegion_l3_x17_y24),
    inference(forward_subsumption_resolution,[status(thm)],[f71,f207]) ).

fof(f216,plain,
    geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
    inference(forward_subsumption_resolution,[status(thm)],[f73,f197]) ).

fof(f219,plain,
    inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24),
    inference(resolution,[status(thm)],[f216,f65]) ).

fof(f220,plain,
    ! [X0] :
      ( inregion(X0,c_georegion_l3_x17_y24)
      | ~ inregion(X0,c_georegion_l4_x53_y74) ),
    inference(resolution,[status(thm)],[f219,f154]) ).

fof(f221,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(resolution,[status(thm)],[f220,f199]) ).

fof(f222,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f221,f214]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR074+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n017.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 14:41:42 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42  % Elapsed time: 0.050472 seconds
% 0.09/0.42  % CPU time: 0.141320 seconds
% 0.09/0.42  % Total memory used: 57.182 MB
% 0.09/0.42  % Net memory used: 57.154 MB
%------------------------------------------------------------------------------