TSTP Solution File: SYN081+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN081+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.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 08:59:25 EDT 2022

% Result   : Theorem 0.12s 0.33s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   27 (   5 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   46 (  22   ~;  17   |;   4   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   26 (   4 sgn   8   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel59_1,axiom,
    ! [X] :
      ( big_f(X)
    <=> ~ big_f(f(X)) ) ).

fof(pel59,conjecture,
    ? [X] :
      ( big_f(X)
      & ~ big_f(f(X)) ) ).

fof(subgoal_0,plain,
    ? [X] :
      ( big_f(X)
      & ~ big_f(f(X)) ),
    inference(strip,[],[pel59]) ).

fof(negate_0_0,plain,
    ~ ? [X] :
        ( big_f(X)
        & ~ big_f(f(X)) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ big_f(X)
    <=> big_f(f(X)) ),
    inference(canonicalize,[],[pel59_1]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ big_f(X)
    <=> big_f(f(X)) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X] :
      ( ( ~ big_f(X)
        | ~ big_f(f(X)) )
      & ( big_f(X)
        | big_f(f(X)) ) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X] :
      ( ~ big_f(X)
      | ~ big_f(f(X)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( big_f(X)
      | big_f(f(X)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( ~ big_f(X)
      | big_f(f(X)) ),
    inference(canonicalize,[],[negate_0_0]) ).

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

cnf(refute_0_0,plain,
    ( ~ big_f(X)
    | ~ big_f(f(X)) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    ( big_f(X)
    | big_f(f(X)) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( big_f(X_4)
    | big_f(f(X_4)) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_4))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_f(f(X_3))
    | ~ big_f(f(f(X_3))) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(f(X_3)))]]) ).

cnf(refute_0_4,plain,
    ( ~ big_f(X)
    | big_f(f(X)) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_5,plain,
    ( ~ big_f(f(X_2))
    | big_f(f(f(X_2))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(f(X_2)))]]) ).

cnf(refute_0_6,plain,
    ( big_f(X_2)
    | big_f(f(X_2)) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_2))]]) ).

cnf(refute_0_7,plain,
    ( big_f(X_2)
    | big_f(f(f(X_2))) ),
    inference(resolve,[$cnf( big_f(f(X_2)) )],[refute_0_6,refute_0_5]) ).

cnf(refute_0_8,plain,
    ( big_f(X_3)
    | big_f(f(f(X_3))) ),
    inference(subst,[],[refute_0_7:[bind(X_2,$fot(X_3))]]) ).

cnf(refute_0_9,plain,
    ( ~ big_f(f(X_3))
    | big_f(X_3) ),
    inference(resolve,[$cnf( big_f(f(f(X_3))) )],[refute_0_8,refute_0_3]) ).

cnf(refute_0_10,plain,
    ( ~ big_f(f(X_4))
    | big_f(X_4) ),
    inference(subst,[],[refute_0_9:[bind(X_3,$fot(X_4))]]) ).

cnf(refute_0_11,plain,
    big_f(X_4),
    inference(resolve,[$cnf( big_f(f(X_4)) )],[refute_0_2,refute_0_10]) ).

cnf(refute_0_12,plain,
    big_f(f(X)),
    inference(subst,[],[refute_0_11:[bind(X_4,$fot(f(X)))]]) ).

cnf(refute_0_13,plain,
    ~ big_f(X),
    inference(resolve,[$cnf( big_f(f(X)) )],[refute_0_12,refute_0_0]) ).

cnf(refute_0_14,plain,
    big_f(X),
    inference(subst,[],[refute_0_11:[bind(X_4,$fot(X))]]) ).

cnf(refute_0_15,plain,
    $false,
    inference(resolve,[$cnf( big_f(X) )],[refute_0_14,refute_0_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN081+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n007.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 16:14:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  
% 0.12/0.33  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------