%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN341+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 09:01:31 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   9   ~;   0   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   44 (   1 sgn  25   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_15_6,conjecture,
    ? [X1] :
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( big_f(X1,X2,X3)
     => big_f(X2,X3,X4) ) ).

fof(subgoal_0,plain,
    ? [X1] :
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( big_f(X1,X2,X3)
     => big_f(X2,X3,X4) ),
    inference(strip,[],[church_46_15_6]) ).

fof(negate_0_0,plain,
    ~ ? [X1] :
      ! [X2] :
      ? [X3] :
      ! [X4] :
        ( big_f(X1,X2,X3)
       => big_f(X2,X3,X4) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X1] :
    ? [X2] :
      ( ! [X3] : big_f(X1,X2,X3)
      & ! [X3] :
        ? [X4] : ~ big_f(X2,X3,X4) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [X1] :
    ? [X2] :
      ( ! [X3] : big_f(X1,X2,X3)
      & ! [X3] :
        ? [X4] : ~ big_f(X2,X3,X4) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X1] :
      ( ! [X3] : big_f(X1,skolemFOFtoCNF_X2(X1),X3)
      & ! [X3] :
        ? [X4] : ~ big_f(skolemFOFtoCNF_X2(X1),X3,X4) ),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X1,X3] : big_f(X1,skolemFOFtoCNF_X2(X1),X3),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X1,X3] : big_f(X1,skolemFOFtoCNF_X2(X1),X3),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X1,X3] :
    ? [X4] : ~ big_f(skolemFOFtoCNF_X2(X1),X3,X4),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_6,plain,
    ! [X1,X3] :
    ? [X4] : ~ big_f(skolemFOFtoCNF_X2(X1),X3,X4),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [X1,X3] : ~ big_f(skolemFOFtoCNF_X2(X1),X3,skolemFOFtoCNF_X4(X1,X3)),
    inference(skolemize,[],[normalize_0_6]) ).

cnf(refute_0_0,plain,
    big_f(X1,skolemFOFtoCNF_X2(X1),X3),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_1,plain,
    big_f(skolemFOFtoCNF_X2(X_2),skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)),skolemFOFtoCNF_X4(X_2,skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)))),
    inference(subst,[],[refute_0_0:[bind(X1,$fot(skolemFOFtoCNF_X2(X_2))),bind(X3,$fot(skolemFOFtoCNF_X4(X_2,skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)))))]]) ).

cnf(refute_0_2,plain,
    ~ big_f(skolemFOFtoCNF_X2(X1),X3,skolemFOFtoCNF_X4(X1,X3)),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_3,plain,
    ~ big_f(skolemFOFtoCNF_X2(X_2),skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)),skolemFOFtoCNF_X4(X_2,skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)))),
    inference(subst,[],[refute_0_2:[bind(X1,$fot(X_2)),bind(X3,$fot(skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2))))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X2(X_2),skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)),skolemFOFtoCNF_X4(X_2,skolemFOFtoCNF_X2(skolemFOFtoCNF_X2(X_2)))) )],[refute_0_1,refute_0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN341+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 00:51:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------