%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN339+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 09:01:30 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   0   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   34 (   2 sgn  20   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_15_4,conjecture,
    ? [X] :
    ! [Y] :
    ? [Z] :
      ( big_f(X,Y,Z)
     => big_f(Y,Z,Z) ) ).

fof(subgoal_0,plain,
    ? [X] :
    ! [Y] :
    ? [Z] :
      ( big_f(X,Y,Z)
     => big_f(Y,Z,Z) ),
    inference(strip,[],[church_46_15_4]) ).

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

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

fof(normalize_0_1,plain,
    ! [X] :
    ? [Y] :
      ( ! [Z] : ~ big_f(Y,Z,Z)
      & ! [Z] : big_f(X,Y,Z) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X] :
      ( ! [Z] : ~ big_f(skolemFOFtoCNF_Y(X),Z,Z)
      & ! [Z] : big_f(X,skolemFOFtoCNF_Y(X),Z) ),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Z] : big_f(X,skolemFOFtoCNF_Y(X),Z),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X,Z] : big_f(X,skolemFOFtoCNF_Y(X),Z),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X,Z] : ~ big_f(skolemFOFtoCNF_Y(X),Z,Z),
    inference(conjunct,[],[normalize_0_2]) ).

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

cnf(refute_0_0,plain,
    big_f(X,skolemFOFtoCNF_Y(X),Z),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_1,plain,
    big_f(skolemFOFtoCNF_Y(X_2),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2))),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y(X_2))),bind(Z,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2))))]]) ).

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

cnf(refute_0_3,plain,
    ~ big_f(skolemFOFtoCNF_Y(X_2),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2))),
    inference(subst,[],[refute_0_2:[bind(X,$fot(X_2)),bind(Z,$fot(skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2))))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Y(X_2),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2)),skolemFOFtoCNF_Y(skolemFOFtoCNF_Y(X_2))) )],[refute_0_1,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN339+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n026.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 14:33:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------