%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWB002+3 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 : Tue Jul 19 19:15:14 EDT 2022

% Result   : Theorem 0.58s 0.74s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  10   ~;   4   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn   4   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_002_Existential_Blank_Nodes,conjecture,
    ? [BNODE_x,BNODE_y] :
      ( iext(uri_ex_p,BNODE_x,BNODE_y)
      & iext(uri_ex_q,BNODE_y,BNODE_x) ) ).

fof(testcase_premise_fullish_002_Existential_Blank_Nodes,axiom,
    ? [BNODE_o] :
      ( iext(uri_ex_p,uri_ex_s,BNODE_o)
      & iext(uri_ex_q,BNODE_o,uri_ex_s) ) ).

fof(subgoal_0,plain,
    ? [BNODE_x,BNODE_y] :
      ( iext(uri_ex_p,BNODE_x,BNODE_y)
      & iext(uri_ex_q,BNODE_y,BNODE_x) ),
    inference(strip,[],[testcase_conclusion_fullish_002_Existential_Blank_Nodes]) ).

fof(negate_0_0,plain,
    ~ ? [BNODE_x,BNODE_y] :
        ( iext(uri_ex_p,BNODE_x,BNODE_y)
        & iext(uri_ex_q,BNODE_y,BNODE_x) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [BNODE_o] :
      ( iext(uri_ex_p,uri_ex_s,BNODE_o)
      & iext(uri_ex_q,BNODE_o,uri_ex_s) ),
    inference(canonicalize,[],[testcase_premise_fullish_002_Existential_Blank_Nodes]) ).

fof(normalize_0_1,plain,
    ( iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_BNODE_o)
    & iext(uri_ex_q,skolemFOFtoCNF_BNODE_o,uri_ex_s) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    iext(uri_ex_q,skolemFOFtoCNF_BNODE_o,uri_ex_s),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [BNODE_x,BNODE_y] :
      ( ~ iext(uri_ex_p,BNODE_x,BNODE_y)
      | ~ iext(uri_ex_q,BNODE_y,BNODE_x) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_4,plain,
    ! [BNODE_x,BNODE_y] :
      ( ~ iext(uri_ex_p,BNODE_x,BNODE_y)
      | ~ iext(uri_ex_q,BNODE_y,BNODE_x) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_BNODE_o),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    iext(uri_ex_q,skolemFOFtoCNF_BNODE_o,uri_ex_s),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ iext(uri_ex_p,BNODE_x,BNODE_y)
    | ~ iext(uri_ex_q,BNODE_y,BNODE_x) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_BNODE_o)
    | ~ iext(uri_ex_q,skolemFOFtoCNF_BNODE_o,uri_ex_s) ),
    inference(subst,[],[refute_0_1:[bind(BNODE_x,$fot(uri_ex_s)),bind(BNODE_y,$fot(skolemFOFtoCNF_BNODE_o))]]) ).

cnf(refute_0_3,plain,
    ~ iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_BNODE_o),
    inference(resolve,[$cnf( iext(uri_ex_q,skolemFOFtoCNF_BNODE_o,uri_ex_s) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_BNODE_o),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( iext(uri_ex_p,uri_ex_s,skolemFOFtoCNF_BNODE_o) )],[refute_0_4,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWB002+3 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun  1 02:17:48 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.58/0.74  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.74  
% 0.58/0.74  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.58/0.74  
%------------------------------------------------------------------------------