%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN073+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 08:59:18 EDT 2022

% Result   : Theorem 0.11s 0.33s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (   8   ~;   9   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   33 (   2 sgn  21   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel50,conjecture,
    ( ! [X] :
        ( big_f(a,X)
        | ! [Y] : big_f(X,Y) )
   => ? [X1] :
      ! [Y1] : big_f(X1,Y1) ) ).

fof(subgoal_0,plain,
    ( ! [X] :
        ( big_f(a,X)
        | ! [Y] : big_f(X,Y) )
   => ? [X1] :
      ! [Y1] : big_f(X1,Y1) ),
    inference(strip,[],[pel50]) ).

fof(negate_0_0,plain,
    ~ ( ! [X] :
          ( big_f(a,X)
          | ! [Y] : big_f(X,Y) )
     => ? [X1] :
        ! [Y1] : big_f(X1,Y1) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ! [X] :
        ( big_f(a,X)
        | ! [Y] : big_f(X,Y) )
    & ! [X1] :
      ? [Y1] : ~ big_f(X1,Y1) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [X1] :
    ? [Y1] : ~ big_f(X1,Y1),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X1] :
    ? [Y1] : ~ big_f(X1,Y1),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X1] : ~ big_f(X1,skolemFOFtoCNF_Y1(X1)),
    inference(skolemize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( big_f(a,X)
      | ! [Y] : big_f(X,Y) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( big_f(a,X)
      | ! [Y] : big_f(X,Y) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X,Y] :
      ( big_f(X,Y)
      | big_f(a,X) ),
    inference(clausify,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ~ big_f(X1,skolemFOFtoCNF_Y1(X1)),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    ~ big_f(a,skolemFOFtoCNF_Y1(a)),
    inference(subst,[],[refute_0_0:[bind(X1,$fot(a))]]) ).

cnf(refute_0_2,plain,
    ~ big_f(X_1,skolemFOFtoCNF_Y1(X_1)),
    inference(subst,[],[refute_0_0:[bind(X1,$fot(X_1))]]) ).

cnf(refute_0_3,plain,
    ( big_f(X,Y)
    | big_f(a,X) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_4,plain,
    ( big_f(X_1,skolemFOFtoCNF_Y1(X_1))
    | big_f(a,X_1) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_1)),bind(Y,$fot(skolemFOFtoCNF_Y1(X_1)))]]) ).

cnf(refute_0_5,plain,
    big_f(a,X_1),
    inference(resolve,[$cnf( big_f(X_1,skolemFOFtoCNF_Y1(X_1)) )],[refute_0_4,refute_0_2]) ).

cnf(refute_0_6,plain,
    big_f(a,skolemFOFtoCNF_Y1(a)),
    inference(subst,[],[refute_0_5:[bind(X_1,$fot(skolemFOFtoCNF_Y1(a)))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( big_f(a,skolemFOFtoCNF_Y1(a)) )],[refute_0_6,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN073+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul 12 05:43:15 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  
% 0.11/0.33  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.34  
%------------------------------------------------------------------------------