%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR067+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 21:57:26 EDT 2022

% Result   : Theorem 274.27s 274.44s
% Output   : CNFRefutation 274.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  12   ~;   6   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   15 (   1 sgn   9   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax3_12768,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ) ).

fof(ax3_15084,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ) ).

fof(ax3_43084,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ) ).

fof(query217,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(ARG1,c_georegion_l4_x29_y75) ) ).

fof(subgoal_0,plain,
    ? [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(ARG1,c_georegion_l4_x29_y75) ),
    inference(strip,[],[query217]) ).

fof(negate_0_0,plain,
    ~ ? [ARG1] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(ARG1,c_georegion_l4_x29_y75) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    inference(canonicalize,[],[ax3_15084]) ).

fof(normalize_0_1,plain,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x29_y75) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_2,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ borderson(X,Y)
      | borderson(Y,X) ),
    inference(canonicalize,[],[ax3_43084]) ).

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

fof(normalize_0_5,plain,
    ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x29_y75),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_6,plain,
    ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x29_y75),
    inference(specialize,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
    inference(resolve,[$cnf( mtvisible(c_tptpgeo_member7_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_x29_y75,c_georegion_l4_x29_y76)
    | borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(c_georegion_l4_x29_y75)),bind(Y,$fot(c_georegion_l4_x29_y76))]]) ).

cnf(refute_0_5,plain,
    borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
    inference(resolve,[$cnf( borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ~ borderson(ARG1,c_georegion_l4_x29_y75),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_7,plain,
    ~ borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
    inference(subst,[],[refute_0_6:[bind(ARG1,$fot(c_georegion_l4_x29_y76))]]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75) )],[refute_0_5,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR067+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 03:28:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 274.27/274.44  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 274.27/274.44  
% 274.27/274.44  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 274.32/274.50  
%------------------------------------------------------------------------------