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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO885^1.330.100 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Uo6jQQ8dHQ true

% Computer : n028.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  : 300s
% DateTime : Thu Oct  2 05:08:23 PM UTC 2025

% Result   : Theorem 0.54s 0.82s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   48 (  46 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives : 1868 (  25   ~;  18   |;  20   &;1804   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  31 usr;  32 con; 0-30 aty)
%                                         (   0  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   21 (  16   ^;   3   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b2_type,type,
    b2: $i ).

thf(b11_type,type,
    b11: $i ).

thf(b23_type,type,
    b23: $i ).

thf(b22_type,type,
    b22: $i ).

thf(b19_type,type,
    b19: $i ).

thf(a0_type,type,
    a0: $i ).

thf(b25_type,type,
    b25: $i ).

thf(b21_type,type,
    b21: $i ).

thf(b8_type,type,
    b8: $i ).

thf(b7_type,type,
    b7: $i ).

thf(b3_type,type,
    b3: $i ).

thf(a2_type,type,
    a2: $i ).

thf(b9_type,type,
    b9: $i ).

thf(b0_type,type,
    b0: $i ).

thf(b20_type,type,
    b20: $i ).

thf(b6_type,type,
    b6: $i ).

thf(b13_type,type,
    b13: $i ).

thf(f_type,type,
    f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(b14_type,type,
    b14: $i ).

thf(b5_type,type,
    b5: $i ).

thf(b12_type,type,
    b12: $i ).

thf(b17_type,type,
    b17: $i ).

thf(b16_type,type,
    b16: $i ).

thf(b26_type,type,
    b26: $i ).

thf(a1_type,type,
    a1: $i ).

thf(b4_type,type,
    b4: $i ).

thf(b24_type,type,
    b24: $i ).

thf(b18_type,type,
    b18: $i ).

thf(b10_type,type,
    b10: $i ).

thf(b1_type,type,
    b1: $i ).

thf(b15_type,type,
    b15: $i ).

thf(goal,conjecture,
    ? [F: $i > $i > $i > $i] :
      ( ( ( F @ a2 @ a1 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( F @ a0 @ a2 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( F @ a0 @ a1 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( F @ a1 @ a2 @ a0 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( F @ a2 @ a0 @ a1 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      & ( ( F @ a1 @ a0 @ a2 )
        = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: $i > $i > $i > $i] :
        ( ( ( F @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( F @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( F @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( F @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( F @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( F @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference('cnf.neg',[status(esa)],[goal]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i > $i > $i] :
          ( ( ( Y0 @ a2 @ a1 @ a0 )
            = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
          & ( ( Y0 @ a0 @ a2 @ a1 )
            = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
          & ( ( Y0 @ a0 @ a1 @ a2 )
            = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
          & ( ( Y0 @ a1 @ a2 @ a0 )
            = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
          & ( ( Y0 @ a2 @ a0 @ a1 )
            = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
          & ( ( Y0 @ a1 @ a0 @ a2 )
            = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $i > $i > $i] :
      ~ ( ( ( X2 @ a2 @ a1 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X2 @ a0 @ a2 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X2 @ a0 @ a1 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X2 @ a1 @ a2 @ a0 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X2 @ a2 @ a0 @ a1 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
        & ( ( X2 @ a1 @ a0 @ a2 )
          = ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $i > $i > $i] :
      ( ( ( X2 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a0 @ a2 @ a1 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a0 @ a1 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a2 @ a0 @ a1 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i > $i > $i] :
      ( ( ( X2 @ a2 @ a1 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a0 @ a2 @ a1 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a0 @ a1 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a1 @ a2 @ a0 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a2 @ a0 @ a1 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
      | ( ( X2 @ a1 @ a0 @ a2 )
       != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ( ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ Y1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
        @ a1
        @ a0
        @ a2 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ Y1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
        @ a2
        @ a0
        @ a1 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ Y1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
        @ a1
        @ a2
        @ a0 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ Y1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
        @ a0
        @ a1
        @ a2 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ Y1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
        @ a0
        @ a2
        @ a1 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl23,plain,
    ( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
    | ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
     != ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl24,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SYO885^1.330.100 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Uo6jQQ8dHQ true
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 18:07:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.49/0.60  % Total configuration time : 828
% 0.49/0.60  % Estimated wc time : 1656
% 0.49/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.73  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.74  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.82  % Solved by lams/15_e_short1.sh.
% 0.54/0.82  % done 0 iterations in 0.064s
% 0.54/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.82  % SZS output start Refutation
% See solution above
% 0.54/0.82  
% 0.54/0.82  
% 0.54/0.82  % Terminating...
% 2.18/0.94  % Runner terminated.
% 2.18/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------