%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN064+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 : Thu Jul 21 08:59:11 EDT 2022

% Result   : Theorem 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (   2 sgn  12   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel35,conjecture,
    ? [X,Y] :
      ( big_p(X,Y)
     => ! [Z,W] : big_p(Z,W) ) ).

fof(subgoal_0,plain,
    ? [X,Y] :
      ( big_p(X,Y)
     => ! [Z,W] : big_p(Z,W) ),
    inference(strip,[],[pel35]) ).

fof(negate_0_0,plain,
    ~ ? [X,Y] :
        ( big_p(X,Y)
       => ! [Z,W] : big_p(Z,W) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ? [W,Z] : ~ big_p(Z,W)
    & ! [X,Y] : big_p(X,Y) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ? [W,Z] : ~ big_p(Z,W),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ big_p(skolemFOFtoCNF_Z,skolemFOFtoCNF_W),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] : big_p(X,Y),
    inference(conjunct,[],[normalize_0_0]) ).

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

cnf(refute_0_0,plain,
    ~ big_p(skolemFOFtoCNF_Z,skolemFOFtoCNF_W),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    big_p(X,Y),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    big_p(skolemFOFtoCNF_Z,skolemFOFtoCNF_W),
    inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_Z)),bind(Y,$fot(skolemFOFtoCNF_W))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( big_p(skolemFOFtoCNF_Z,skolemFOFtoCNF_W) )],[refute_0_2,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN064+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 05:20:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34  
%------------------------------------------------------------------------------