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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR033+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 0.13s 0.41s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   62 (  23 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   98 (  48   ~;  35   |;   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   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f273,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f291,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f292,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_1(c_georegion_l1_x2_y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f300,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f355,axiom,
    ( mtvisible(c_tptpgeo_member2_mt)
   => inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f1132,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/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,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)],[f1132]) ).

fof(f1134,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f1160,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f18]) ).

fof(f1161,plain,
    ( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f1160]) ).

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(f1531,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
    inference(cnf_transformation,[status(thm)],[f273]) ).

fof(f1557,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f291]) ).

fof(f1558,plain,
    ( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f1557]) ).

fof(f1559,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f292]) ).

fof(f1560,plain,
    ( geolevel_1(c_georegion_l1_x2_y0)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f1559]) ).

fof(f1572,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f300]) ).

fof(f1573,plain,
    ( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f1572]) ).

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

fof(f1650,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f355]) ).

fof(f1651,plain,
    ( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
    | ~ mtvisible(c_tptpgeo_member2_mt) ),
    inference(cnf_transformation,[status(thm)],[f1650]) ).

fof(f1671,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
    inference(cnf_transformation,[status(thm)],[f369]) ).

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_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)],[f1133]) ).

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

fof(f3206,plain,
    ( ~ geolevel_1(c_georegion_l1_x2_y0)
    | ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
    inference(cnf_transformation,[status(thm)],[f3204]) ).

fof(f3207,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_spindlecollectormt,X0) ),
    inference(resolution,[status(thm)],[f3183,f3205]) ).

fof(f3208,plain,
    mtvisible(c_tptpgeo_member2_mt),
    inference(resolution,[status(thm)],[f3207,f1531]) ).

fof(f3209,plain,
    inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
    inference(backward_subsumption_resolution,[status(thm)],[f1651,f3208]) ).

fof(f3215,plain,
    geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
    inference(forward_subsumption_resolution,[status(thm)],[f1161,f3208]) ).

fof(f3324,plain,
    geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
    inference(forward_subsumption_resolution,[status(thm)],[f1558,f3208]) ).

fof(f3334,plain,
    geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
    inference(forward_subsumption_resolution,[status(thm)],[f1573,f3208]) ).

fof(f3359,plain,
    mtvisible(c_tptpgeo_member8_mt),
    inference(resolution,[status(thm)],[f1671,f3207]) ).

fof(f3360,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_member8_mt,X0) ),
    inference(resolution,[status(thm)],[f3359,f3183]) ).

fof(f3361,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(resolution,[status(thm)],[f3360,f1134]) ).

fof(f3362,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_spindleheadmt,X0) ),
    inference(resolution,[status(thm)],[f3361,f3183]) ).

fof(f3363,plain,
    mtvisible(c_worldgeographymt),
    inference(resolution,[status(thm)],[f3362,f1611]) ).

fof(f3366,plain,
    geolevel_1(c_georegion_l1_x2_y0),
    inference(backward_subsumption_resolution,[status(thm)],[f1560,f3363]) ).

fof(f3368,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
    inference(backward_subsumption_resolution,[status(thm)],[f3206,f3366]) ).

fof(f3369,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l1_x2_y0)
      | ~ inregion(c_geolocation_x76_y23,X0) ),
    inference(resolution,[status(thm)],[f3368,f2767]) ).

fof(f3374,plain,
    ! [X0] :
      ( ~ geographicalsubregions(c_georegion_l1_x2_y0,X0)
      | ~ inregion(c_geolocation_x76_y23,X0) ),
    inference(resolution,[status(thm)],[f3369,f1321]) ).

fof(f3385,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l2_x8_y2),
    inference(resolution,[status(thm)],[f3374,f3215]) ).

fof(f3386,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l2_x8_y2)
      | ~ inregion(c_geolocation_x76_y23,X0) ),
    inference(resolution,[status(thm)],[f3385,f2767]) ).

fof(f3391,plain,
    ! [X0] :
      ( ~ geographicalsubregions(c_georegion_l2_x8_y2,X0)
      | ~ inregion(c_geolocation_x76_y23,X0) ),
    inference(resolution,[status(thm)],[f3386,f1321]) ).

fof(f3392,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7),
    inference(resolution,[status(thm)],[f3391,f3324]) ).

fof(f3393,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l3_x25_y7)
      | ~ inregion(c_geolocation_x76_y23,X0) ),
    inference(resolution,[status(thm)],[f3392,f2767]) ).

fof(f3396,plain,
    ! [X0] :
      ( ~ geographicalsubregions(c_georegion_l3_x25_y7,X0)
      | ~ inregion(c_geolocation_x76_y23,X0) ),
    inference(resolution,[status(thm)],[f3393,f1321]) ).

fof(f3397,plain,
    ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
    inference(resolution,[status(thm)],[f3396,f3334]) ).

fof(f3398,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3397,f3209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR033+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n018.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 14:28:14 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.13/0.38  % Drodi V4.1.1
% 0.13/0.41  % Refutation found
% 0.13/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45  % Elapsed time: 0.097656 seconds
% 0.13/0.45  % CPU time: 0.295028 seconds
% 0.13/0.45  % Total memory used: 89.987 MB
% 0.13/0.45  % Net memory used: 89.910 MB
%------------------------------------------------------------------------------