%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN972+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 09:12:32 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (  11 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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   :   26 (   2 sgn  14   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ? [X] :
      ! [Y] : p(X,Y)
   => ! [Y] :
      ? [X] : p(X,Y) ) ).

fof(subgoal_0,plain,
    ( ? [X] :
      ! [Y] : p(X,Y)
   => ! [Y] :
      ? [X] : p(X,Y) ),
    inference(strip,[],[prove_this]) ).

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

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

fof(normalize_0_1,plain,
    ? [X] :
    ! [Y] : p(X,Y),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [Y] : p(skolemFOFtoCNF_X,Y),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [Y] : p(skolemFOFtoCNF_X,Y),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ? [Y] :
    ! [X] : ~ p(X,Y),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_5,plain,
    ! [X] : ~ p(X,skolemFOFtoCNF_Y),
    inference(skolemize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X] : ~ p(X,skolemFOFtoCNF_Y),
    inference(specialize,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    p(skolemFOFtoCNF_X,Y),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    p(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
    inference(subst,[],[refute_0_0:[bind(Y,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_2,plain,
    ~ p(X,skolemFOFtoCNF_Y),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ~ p(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
    inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( p(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_1,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN972+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n020.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 : Mon Jul 11 17:28:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------