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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR033+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 12:12:57 PM UTC 2026

% Result   : Theorem 1.19s 0.91s
% Output   : CNFRefutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   62 (  25 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   89 (  40   ~;  34   |;   5   &)
%                                         (   0 <=>;  10  =>;   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    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f197,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f232,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f438,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1039,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1111,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1935,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2024,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_1(c_georegion_l1_x2_y0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2573,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2962,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3432,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member3_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7302,axiom,
    ! [X,Y,Z] :
      ( ( inregion(Y,Z)
        & inregion(X,Y) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => ( geolevel_1(c_georegion_l1_x2_y0)
      & inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => ( geolevel_1(c_georegion_l1_x2_y0)
        & inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8266,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f8315,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    inference(cnf_transformation,[status(thm)],[f232]) ).

fof(f8598,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f438]) ).

fof(f8599,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f8598]) ).

fof(f9458,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f1039]) ).

fof(f9459,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f9458]) ).

fof(f9563,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(thm)],[f1111]) ).

fof(f10720,plain,
    ! [ARG1,ARG2] :
      ( inregion(ARG2,ARG1)
      | ~ geographicalsubregions(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f1935]) ).

fof(f10721,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10720]) ).

fof(f10845,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f2024]) ).

fof(f10846,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f10845]) ).

fof(f11610,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f2573]) ).

fof(f11611,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f11610]) ).

fof(f12153,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f2962]) ).

fof(f12154,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f12153]) ).

fof(f12808,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member3_mt),
    inference(cnf_transformation,[status(thm)],[f3432]) ).

fof(f19970,plain,
    ! [X,Y,Z] :
      ( inregion(X,Z)
      | ~ inregion(Y,Z)
      | ~ inregion(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f7302]) ).

fof(f19971,plain,
    ! [X,Z] :
      ( inregion(X,Z)
      | ! [Y] :
          ( ~ inregion(Y,Z)
          | ~ inregion(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f19970]) ).

fof(f19972,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f19971]) ).

fof(f21368,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f7997]) ).

fof(f21369,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f21368]) ).

fof(f21370,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f21369]) ).

fof(f21391,plain,
    ( ( ~ geolevel_1(c_georegion_l1_x2_y0)
      | ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) )
    & mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(pre_NNF_transformation,[status(thm)],[f8007]) ).

fof(f21392,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21393,plain,
    ( ~ geolevel_1(c_georegion_l1_x2_y0)
    | ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21394,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_spindlecollectormt,X0) ),
    inference(resolution,[status(thm)],[f21370,f21392]) ).

fof(f21396,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(resolution,[status(thm)],[f21394,f12808]) ).

fof(f21399,plain,
    mtvisible(c_tptpgeo_member2_mt),
    inference(resolution,[status(thm)],[f21394,f8315]) ).

fof(f21401,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_member3_mt,X0) ),
    inference(resolution,[status(thm)],[f21396,f21370]) ).

fof(f21404,plain,
    inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
    inference(backward_subsumption_resolution,[status(thm)],[f12154,f21399]) ).

fof(f21468,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(resolution,[status(thm)],[f8266,f21401]) ).

fof(f21469,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_spindleheadmt,X0) ),
    inference(resolution,[status(thm)],[f21468,f21370]) ).

fof(f21503,plain,
    geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
    inference(forward_subsumption_resolution,[status(thm)],[f8599,f21399]) ).

fof(f21504,plain,
    inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2),
    inference(resolution,[status(thm)],[f21503,f10721]) ).

fof(f21505,plain,
    ! [X0] :
      ( inregion(X0,c_georegion_l2_x8_y2)
      | ~ inregion(X0,c_georegion_l3_x25_y7) ),
    inference(resolution,[status(thm)],[f21504,f19972]) ).

fof(f21801,plain,
    mtvisible(c_worldgeographymt),
    inference(resolution,[status(thm)],[f9563,f21469]) ).

fof(f21812,plain,
    geolevel_1(c_georegion_l1_x2_y0),
    inference(backward_subsumption_resolution,[status(thm)],[f10846,f21801]) ).

fof(f21814,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
    inference(backward_subsumption_resolution,[status(thm)],[f21393,f21812]) ).

fof(f22008,plain,
    geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
    inference(forward_subsumption_resolution,[status(thm)],[f9459,f21399]) ).

fof(f22009,plain,
    inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0),
    inference(resolution,[status(thm)],[f22008,f10721]) ).

fof(f22010,plain,
    ! [X0] :
      ( inregion(X0,c_georegion_l1_x2_y0)
      | ~ inregion(X0,c_georegion_l2_x8_y2) ),
    inference(resolution,[status(thm)],[f22009,f19972]) ).

fof(f22014,plain,
    ! [X0,X1] :
      ( inregion(X1,c_georegion_l1_x2_y0)
      | ~ inregion(X1,X0)
      | ~ inregion(X0,c_georegion_l2_x8_y2) ),
    inference(resolution,[status(thm)],[f22010,f19972]) ).

fof(f22017,plain,
    ! [X0] :
      ( ~ inregion(c_geolocation_x76_y23,X0)
      | ~ inregion(X0,c_georegion_l2_x8_y2) ),
    inference(resolution,[status(thm)],[f22014,f21814]) ).

fof(f22022,plain,
    ~ inregion(c_georegion_l4_x76_y23,c_georegion_l2_x8_y2),
    inference(resolution,[status(thm)],[f22017,f21404]) ).

fof(f22936,plain,
    geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
    inference(forward_subsumption_resolution,[status(thm)],[f11611,f21399]) ).

fof(f22937,plain,
    inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7),
    inference(resolution,[status(thm)],[f22936,f10721]) ).

fof(f22946,plain,
    inregion(c_georegion_l4_x76_y23,c_georegion_l2_x8_y2),
    inference(resolution,[status(thm)],[f22937,f21505]) ).

fof(f22950,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f22946,f22022]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR033+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n016.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 14:30:54 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.22/0.53  % Drodi V4.1.1
% 1.19/0.91  % Refutation found
% 1.19/0.91  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.19/0.91  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.00/2.15  % Elapsed time: 1.571863 seconds
% 4.00/2.15  % CPU time: 3.179855 seconds
% 4.00/2.15  % Total memory used: 407.087 MB
% 4.00/2.15  % Net memory used: 406.067 MB
%------------------------------------------------------------------------------