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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 12:13:16 PM UTC 2026

% Result   : Theorem 0.40s 0.80s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  16   ~;  12   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f489,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2388,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7642,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f8006,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8668,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f489]) ).

fof(f8669,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(cnf_transformation,[status(thm)],[f8668]) ).

fof(f11351,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[status(thm)],[f2388]) ).

fof(f20667,plain,
    ! [X,Y] :
      ( borderson(Y,X)
      | ~ borderson(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f7642]) ).

fof(f20668,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20667]) ).

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,
    ( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
    & 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,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21396,plain,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(resolution,[status(thm)],[f20668,f8669]) ).

fof(f21397,plain,
    ~ mtvisible(c_tptpgeo_member5_mt),
    inference(forward_subsumption_resolution,[status(thm)],[f21396,f21393]) ).

fof(f21398,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptpgeo_spindlecollectormt,X0) ),
    inference(resolution,[status(thm)],[f21370,f21392]) ).

fof(f22057,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(resolution,[status(thm)],[f11351,f21398]) ).

fof(f22058,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f22057,f21397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 14:39:32 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.28/0.58  % Drodi V4.1.1
% 0.40/0.80  % Refutation found
% 0.40/0.80  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.40/0.80  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.40/0.82  % Elapsed time: 0.447536 seconds
% 0.40/0.82  % CPU time: 1.359792 seconds
% 0.40/0.82  % Total memory used: 392.911 MB
% 0.40/0.82  % Net memory used: 392.328 MB
%------------------------------------------------------------------------------