%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR047+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Fri Jul 15 21:57:02 EDT 2022

% Result   : Theorem 11.79s 11.98s
% Output   : CNFRefutation 11.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  10   ~;   6   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_1237,axiom,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ) ).

fof(ax2_1351,axiom,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ) ).

fof(ax2_7642,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ) ).

fof(query147,conjecture,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ) ).

fof(subgoal_0,plain,
    ( mtvisible(c_tptpgeo_member4_mt)
   => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(strip,[],[query147]) ).

fof(negate_0_0,plain,
    ~ ( mtvisible(c_tptpgeo_member4_mt)
     => borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    inference(canonicalize,[],[ax2_1351]) ).

fof(normalize_0_1,plain,
    ( ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50)
    & mtvisible(c_tptpgeo_member4_mt) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_2,plain,
    mtvisible(c_tptpgeo_member4_mt),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(canonicalize,[],[ax2_7642]) ).

fof(normalize_0_4,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    ( ~ mtvisible(c_tptpgeo_member4_mt)
    | borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) ),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    mtvisible(c_tptpgeo_member4_mt),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50),
    inference(resolve,[$cnf( mtvisible(c_tptpgeo_member4_mt) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ( ~ borderson(X,Y)
    | borderson(Y,X) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_4,plain,
    ( ~ borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50)
    | borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(c_georegion_l4_x36_y50)),bind(Y,$fot(c_georegion_l4_x37_y50))]]) ).

cnf(refute_0_5,plain,
    borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(resolve,[$cnf( borderson(c_georegion_l4_x36_y50,c_georegion_l4_x37_y50) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( borderson(c_georegion_l4_x37_y50,c_georegion_l4_x36_y50) )],[refute_0_5,refute_0_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR047+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.20/0.34  % Computer : n017.cluster.edu
% 0.20/0.34  % Model    : x86_64 x86_64
% 0.20/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.34  % Memory   : 8042.1875MB
% 0.20/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 600
% 0.20/0.34  % DateTime : Sat Jun 11 17:38:51 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.79/11.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.79/11.98  
% 11.79/11.98  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.79/11.99  
%------------------------------------------------------------------------------