TSTP Solution File: ALG083+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG083+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X4LMxnh8Xv true

% Computer : n023.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 : Wed Aug 30 17:10:24 EDT 2023

% Result   : Theorem 0.56s 0.85s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  225 (  93 unt;  14 typ;   0 def)
%            Number of atoms       :  632 ( 630 equ;   0 cnn)
%            Maximal formula atoms :  110 (   2 avg)
%            Number of connectives : 1933 (  53   ~; 119   |; 202   &;1459   @)
%                                         (   0 <=>;   2  =>;  98  <=;   0 <~>)
%            Maximal formula depth :   63 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(e21_type,type,
    e21: $i ).

thf(op1_type,type,
    op1: $i > $i > $i ).

thf(e20_type,type,
    e20: $i ).

thf(e22_type,type,
    e22: $i ).

thf(j_type,type,
    j: $i > $i ).

thf(e14_type,type,
    e14: $i ).

thf(e24_type,type,
    e24: $i ).

thf(e13_type,type,
    e13: $i ).

thf(h_type,type,
    h: $i > $i ).

thf(e12_type,type,
    e12: $i ).

thf(e11_type,type,
    e11: $i ).

thf(e10_type,type,
    e10: $i ).

thf(op2_type,type,
    op2: $i > $i > $i ).

thf(e23_type,type,
    e23: $i ).

thf(co1,conjecture,
    ( ( ( ( ( h @ e10 )
          = e20 )
        | ( ( h @ e10 )
          = e21 )
        | ( ( h @ e10 )
          = e22 )
        | ( ( h @ e10 )
          = e23 )
        | ( ( h @ e10 )
          = e24 ) )
      & ( ( ( h @ e11 )
          = e20 )
        | ( ( h @ e11 )
          = e21 )
        | ( ( h @ e11 )
          = e22 )
        | ( ( h @ e11 )
          = e23 )
        | ( ( h @ e11 )
          = e24 ) )
      & ( ( ( h @ e12 )
          = e20 )
        | ( ( h @ e12 )
          = e21 )
        | ( ( h @ e12 )
          = e22 )
        | ( ( h @ e12 )
          = e23 )
        | ( ( h @ e12 )
          = e24 ) )
      & ( ( ( h @ e13 )
          = e20 )
        | ( ( h @ e13 )
          = e21 )
        | ( ( h @ e13 )
          = e22 )
        | ( ( h @ e13 )
          = e23 )
        | ( ( h @ e13 )
          = e24 ) )
      & ( ( ( h @ e14 )
          = e20 )
        | ( ( h @ e14 )
          = e21 )
        | ( ( h @ e14 )
          = e22 )
        | ( ( h @ e14 )
          = e23 )
        | ( ( h @ e14 )
          = e24 ) )
      & ( ( ( j @ e20 )
          = e10 )
        | ( ( j @ e20 )
          = e11 )
        | ( ( j @ e20 )
          = e12 )
        | ( ( j @ e20 )
          = e13 )
        | ( ( j @ e20 )
          = e14 ) )
      & ( ( ( j @ e21 )
          = e10 )
        | ( ( j @ e21 )
          = e11 )
        | ( ( j @ e21 )
          = e12 )
        | ( ( j @ e21 )
          = e13 )
        | ( ( j @ e21 )
          = e14 ) )
      & ( ( ( j @ e22 )
          = e10 )
        | ( ( j @ e22 )
          = e11 )
        | ( ( j @ e22 )
          = e12 )
        | ( ( j @ e22 )
          = e13 )
        | ( ( j @ e22 )
          = e14 ) )
      & ( ( ( j @ e23 )
          = e10 )
        | ( ( j @ e23 )
          = e11 )
        | ( ( j @ e23 )
          = e12 )
        | ( ( j @ e23 )
          = e13 )
        | ( ( j @ e23 )
          = e14 ) )
      & ( ( ( j @ e24 )
          = e10 )
        | ( ( j @ e24 )
          = e11 )
        | ( ( j @ e24 )
          = e12 )
        | ( ( j @ e24 )
          = e13 )
        | ( ( j @ e24 )
          = e14 ) ) )
   => ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e10 @ e11 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e10 @ e12 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e10 @ e13 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e10 @ e14 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e11 @ e10 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e11 @ e11 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e11 @ e12 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e11 @ e13 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e11 @ e14 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e12 @ e10 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e12 @ e11 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e12 @ e12 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e12 @ e13 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e12 @ e14 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e13 @ e10 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e13 @ e11 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e13 @ e12 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e13 @ e13 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e13 @ e14 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e14 @ e10 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e14 @ e11 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e14 @ e12 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e14 @ e13 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e14 @ e14 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
        & ( ( j @ ( op2 @ e20 @ e20 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e20 @ e21 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e20 @ e22 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e20 @ e23 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e20 @ e24 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e21 @ e20 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e21 @ e21 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e21 @ e22 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e21 @ e23 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e21 @ e24 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e22 @ e20 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e22 @ e21 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e22 @ e22 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e22 @ e23 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e22 @ e24 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e23 @ e20 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e23 @ e21 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e23 @ e22 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e23 @ e23 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e23 @ e24 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e24 @ e20 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e24 @ e21 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e24 @ e22 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e24 @ e23 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e24 @ e24 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
        & ( ( h @ ( j @ e20 ) )
          = e20 )
        & ( ( h @ ( j @ e21 ) )
          = e21 )
        & ( ( h @ ( j @ e22 ) )
          = e22 )
        & ( ( h @ ( j @ e23 ) )
          = e23 )
        & ( ( h @ ( j @ e24 ) )
          = e24 )
        & ( ( j @ ( h @ e10 ) )
          = e10 )
        & ( ( j @ ( h @ e11 ) )
          = e11 )
        & ( ( j @ ( h @ e12 ) )
          = e12 )
        & ( ( j @ ( h @ e13 ) )
          = e13 )
        & ( ( j @ ( h @ e14 ) )
          = e14 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( ( h @ e10 )
            = e20 )
          | ( ( h @ e10 )
            = e21 )
          | ( ( h @ e10 )
            = e22 )
          | ( ( h @ e10 )
            = e23 )
          | ( ( h @ e10 )
            = e24 ) )
        & ( ( ( h @ e11 )
            = e20 )
          | ( ( h @ e11 )
            = e21 )
          | ( ( h @ e11 )
            = e22 )
          | ( ( h @ e11 )
            = e23 )
          | ( ( h @ e11 )
            = e24 ) )
        & ( ( ( h @ e12 )
            = e20 )
          | ( ( h @ e12 )
            = e21 )
          | ( ( h @ e12 )
            = e22 )
          | ( ( h @ e12 )
            = e23 )
          | ( ( h @ e12 )
            = e24 ) )
        & ( ( ( h @ e13 )
            = e20 )
          | ( ( h @ e13 )
            = e21 )
          | ( ( h @ e13 )
            = e22 )
          | ( ( h @ e13 )
            = e23 )
          | ( ( h @ e13 )
            = e24 ) )
        & ( ( ( h @ e14 )
            = e20 )
          | ( ( h @ e14 )
            = e21 )
          | ( ( h @ e14 )
            = e22 )
          | ( ( h @ e14 )
            = e23 )
          | ( ( h @ e14 )
            = e24 ) )
        & ( ( ( j @ e20 )
            = e10 )
          | ( ( j @ e20 )
            = e11 )
          | ( ( j @ e20 )
            = e12 )
          | ( ( j @ e20 )
            = e13 )
          | ( ( j @ e20 )
            = e14 ) )
        & ( ( ( j @ e21 )
            = e10 )
          | ( ( j @ e21 )
            = e11 )
          | ( ( j @ e21 )
            = e12 )
          | ( ( j @ e21 )
            = e13 )
          | ( ( j @ e21 )
            = e14 ) )
        & ( ( ( j @ e22 )
            = e10 )
          | ( ( j @ e22 )
            = e11 )
          | ( ( j @ e22 )
            = e12 )
          | ( ( j @ e22 )
            = e13 )
          | ( ( j @ e22 )
            = e14 ) )
        & ( ( ( j @ e23 )
            = e10 )
          | ( ( j @ e23 )
            = e11 )
          | ( ( j @ e23 )
            = e12 )
          | ( ( j @ e23 )
            = e13 )
          | ( ( j @ e23 )
            = e14 ) )
        & ( ( ( j @ e24 )
            = e10 )
          | ( ( j @ e24 )
            = e11 )
          | ( ( j @ e24 )
            = e12 )
          | ( ( j @ e24 )
            = e13 )
          | ( ( j @ e24 )
            = e14 ) ) )
     => ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e10 @ e11 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e10 @ e12 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e10 @ e13 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e10 @ e14 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e11 @ e10 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e11 @ e11 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e11 @ e12 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e11 @ e13 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e11 @ e14 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e12 @ e10 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e12 @ e11 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e12 @ e12 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e12 @ e13 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e12 @ e14 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e13 @ e10 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e13 @ e11 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e13 @ e12 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e13 @ e13 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e13 @ e14 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e14 @ e10 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e14 @ e11 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e14 @ e12 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e14 @ e13 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e14 @ e14 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
          & ( ( j @ ( op2 @ e20 @ e20 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e20 @ e21 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e20 @ e22 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e20 @ e23 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e20 @ e24 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e21 @ e20 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e21 @ e21 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e21 @ e22 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e21 @ e23 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e21 @ e24 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e22 @ e20 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e22 @ e21 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e22 @ e22 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e22 @ e23 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e22 @ e24 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e23 @ e20 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e23 @ e21 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e23 @ e22 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e23 @ e23 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e23 @ e24 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e24 @ e20 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e24 @ e21 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e24 @ e22 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e24 @ e23 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e24 @ e24 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
          & ( ( h @ ( j @ e20 ) )
            = e20 )
          & ( ( h @ ( j @ e21 ) )
            = e21 )
          & ( ( h @ ( j @ e22 ) )
            = e22 )
          & ( ( h @ ( j @ e23 ) )
            = e23 )
          & ( ( h @ ( j @ e24 ) )
            = e24 )
          & ( ( j @ ( h @ e10 ) )
            = e10 )
          & ( ( j @ ( h @ e11 ) )
            = e11 )
          & ( ( j @ ( h @ e12 ) )
            = e12 )
          & ( ( j @ ( h @ e13 ) )
            = e13 )
          & ( ( j @ ( h @ e14 ) )
            = e14 ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl96,plain,
    ( ( ( h @ e11 )
      = e20 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e11 )
      = e22 )
    | ( ( h @ e11 )
      = e23 )
    | ( ( h @ e11 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl170,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl111,plain,
    ( ( h @ ( op1 @ e11 @ e11 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax4,axiom,
    ( ( ( op1 @ e14 @ e14 )
      = e12 )
    & ( ( op1 @ e14 @ e13 )
      = e10 )
    & ( ( op1 @ e14 @ e12 )
      = e11 )
    & ( ( op1 @ e14 @ e11 )
      = e13 )
    & ( ( op1 @ e14 @ e10 )
      = e14 )
    & ( ( op1 @ e13 @ e14 )
      = e10 )
    & ( ( op1 @ e13 @ e13 )
      = e11 )
    & ( ( op1 @ e13 @ e12 )
      = e14 )
    & ( ( op1 @ e13 @ e11 )
      = e12 )
    & ( ( op1 @ e13 @ e10 )
      = e13 )
    & ( ( op1 @ e12 @ e14 )
      = e11 )
    & ( ( op1 @ e12 @ e13 )
      = e14 )
    & ( ( op1 @ e12 @ e12 )
      = e13 )
    & ( ( op1 @ e12 @ e11 )
      = e10 )
    & ( ( op1 @ e12 @ e10 )
      = e12 )
    & ( ( op1 @ e11 @ e14 )
      = e13 )
    & ( ( op1 @ e11 @ e13 )
      = e12 )
    & ( ( op1 @ e11 @ e12 )
      = e10 )
    & ( ( op1 @ e11 @ e11 )
      = e14 )
    & ( ( op1 @ e11 @ e10 )
      = e11 )
    & ( ( op1 @ e10 @ e14 )
      = e14 )
    & ( ( op1 @ e10 @ e13 )
      = e13 )
    & ( ( op1 @ e10 @ e12 )
      = e12 )
    & ( ( op1 @ e10 @ e11 )
      = e11 )
    & ( ( op1 @ e10 @ e10 )
      = e10 ) ) ).

thf(zip_derived_cl63,plain,
    ( ( op1 @ e11 @ e11 )
    = e14 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl706,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl707,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e20 @ e20 ) )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl706]) ).

thf(ax5,axiom,
    ( ( ( op2 @ e24 @ e24 )
      = e22 )
    & ( ( op2 @ e24 @ e23 )
      = e21 )
    & ( ( op2 @ e24 @ e22 )
      = e20 )
    & ( ( op2 @ e24 @ e21 )
      = e23 )
    & ( ( op2 @ e24 @ e20 )
      = e24 )
    & ( ( op2 @ e23 @ e24 )
      = e20 )
    & ( ( op2 @ e23 @ e23 )
      = e24 )
    & ( ( op2 @ e23 @ e22 )
      = e21 )
    & ( ( op2 @ e23 @ e21 )
      = e22 )
    & ( ( op2 @ e23 @ e20 )
      = e23 )
    & ( ( op2 @ e22 @ e24 )
      = e21 )
    & ( ( op2 @ e22 @ e23 )
      = e20 )
    & ( ( op2 @ e22 @ e22 )
      = e23 )
    & ( ( op2 @ e22 @ e21 )
      = e24 )
    & ( ( op2 @ e22 @ e20 )
      = e22 )
    & ( ( op2 @ e21 @ e24 )
      = e23 )
    & ( ( op2 @ e21 @ e23 )
      = e22 )
    & ( ( op2 @ e21 @ e22 )
      = e24 )
    & ( ( op2 @ e21 @ e21 )
      = e20 )
    & ( ( op2 @ e21 @ e20 )
      = e21 )
    & ( ( op2 @ e20 @ e24 )
      = e24 )
    & ( ( op2 @ e20 @ e23 )
      = e23 )
    & ( ( op2 @ e20 @ e22 )
      = e22 )
    & ( ( op2 @ e20 @ e21 )
      = e21 )
    & ( ( op2 @ e20 @ e20 )
      = e20 ) ) ).

thf(zip_derived_cl94,plain,
    ( ( op2 @ e20 @ e20 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl721,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl707,zip_derived_cl94]) ).

thf(zip_derived_cl114,plain,
    ( ( h @ ( op1 @ e11 @ e14 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ( ( op1 @ e11 @ e14 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl873,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl881,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl873]) ).

thf(zip_derived_cl170_001,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl94_002,plain,
    ( ( op2 @ e20 @ e20 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl897,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl881,zip_derived_cl170,zip_derived_cl94]) ).

thf(zip_derived_cl113,plain,
    ( ( h @ ( op1 @ e11 @ e13 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61,plain,
    ( ( op1 @ e11 @ e13 )
    = e12 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl856,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl916,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl897,zip_derived_cl856]) ).

thf(zip_derived_cl170_003,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl94_004,plain,
    ( ( op2 @ e20 @ e20 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl922,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl916,zip_derived_cl170,zip_derived_cl94]) ).

thf(zip_derived_cl97,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl176,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( h @ e12 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl1098,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e12 )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl922,zip_derived_cl176]) ).

thf(ax2,axiom,
    ( ( e23 != e24 )
    & ( e22 != e24 )
    & ( e22 != e23 )
    & ( e21 != e24 )
    & ( e21 != e23 )
    & ( e21 != e22 )
    & ( e20 != e24 )
    & ( e20 != e23 )
    & ( e20 != e22 )
    & ( e20 != e21 ) ) ).

thf(zip_derived_cl19,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl1109,plain,
    ( $false
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e12 )
        = e21 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1098,zip_derived_cl19]) ).

thf(zip_derived_cl172,plain,
    ( ( ( h @ e11 )
      = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl706_005,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl709,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e22 @ e22 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl706]) ).

thf(zip_derived_cl82,plain,
    ( ( op2 @ e22 @ e22 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl723,plain,
    ( ( ( h @ e14 )
      = e23 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl709,zip_derived_cl82]) ).

thf(zip_derived_cl873_006,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl883,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e23 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl873]) ).

thf(zip_derived_cl172_007,plain,
    ( ( ( h @ e11 )
      = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl81,plain,
    ( ( op2 @ e22 @ e23 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl899,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl883,zip_derived_cl172,zip_derived_cl81]) ).

thf(zip_derived_cl856_008,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl950,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl899,zip_derived_cl856]) ).

thf(zip_derived_cl172_009,plain,
    ( ( ( h @ e11 )
      = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl84,plain,
    ( ( op2 @ e22 @ e20 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl957,plain,
    ( ( ( h @ e12 )
      = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl950,zip_derived_cl172,zip_derived_cl84]) ).

thf(zip_derived_cl112,plain,
    ( ( h @ ( op1 @ e11 @ e12 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ( ( op1 @ e11 @ e12 )
    = e10 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl95,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    ( ( ( h @ e10 )
      = e20 )
   <= ( ( h @ e10 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl167,plain,
    ( ( ( h @ e10 )
      = e22 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl105,plain,
    ( ( h @ ( op1 @ e10 @ e10 ) )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ( op1 @ e10 @ e10 )
    = e10 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl544,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl547,plain,
    ( ( e22
      = ( op2 @ e22 @ e22 ) )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl544]) ).

thf(zip_derived_cl82_010,plain,
    ( ( op2 @ e22 @ e22 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl619,plain,
    ( ( e22 = e23 )
   <= ( ( h @ e10 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl547,zip_derived_cl82]) ).

thf(zip_derived_cl12,plain,
    e22 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('0',plain,
    ( ( h @ e10 )
   != e22 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl619,zip_derived_cl12]) ).

thf(zip_derived_cl166,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_011,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl546,plain,
    ( ( e21
      = ( op2 @ e21 @ e21 ) )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl544]) ).

thf(zip_derived_cl88,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl557,plain,
    ( ( e21 = e20 )
   <= ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl546,zip_derived_cl88]) ).

thf(zip_derived_cl19_012,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('1',plain,
    ( ( h @ e10 )
   != e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl557,zip_derived_cl19]) ).

thf(zip_derived_cl169,plain,
    ( ( ( h @ e10 )
      = e24 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_013,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl549,plain,
    ( ( e24
      = ( op2 @ e24 @ e24 ) )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl544]) ).

thf(zip_derived_cl70,plain,
    ( ( op2 @ e24 @ e24 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl559,plain,
    ( ( e24 = e22 )
   <= ( ( h @ e10 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl549,zip_derived_cl70]) ).

thf(zip_derived_cl11,plain,
    e22 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('2',plain,
    ( ( h @ e10 )
   != e24 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl559,zip_derived_cl11]) ).

thf(zip_derived_cl168,plain,
    ( ( ( h @ e10 )
      = e23 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf(zip_derived_cl544_014,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl548,plain,
    ( ( e23
      = ( op2 @ e23 @ e23 ) )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl544]) ).

thf(zip_derived_cl76,plain,
    ( ( op2 @ e23 @ e23 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl621,plain,
    ( ( e23 = e24 )
   <= ( ( h @ e10 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl76]) ).

thf(zip_derived_cl10,plain,
    e23 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('3',plain,
    ( ( h @ e10 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl621,zip_derived_cl10]) ).

thf('4',plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e24 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl95]) ).

thf('5',plain,
    ( ( h @ e10 )
    = e20 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

thf(zip_derived_cl623,plain,
    ( ( h @ e10 )
    = e20 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).

thf(zip_derived_cl789,plain,
    ( e20
    = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl62,zip_derived_cl623]) ).

thf(zip_derived_cl1180,plain,
    ( ( e20
      = ( op2 @ ( h @ e11 ) @ e22 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl957,zip_derived_cl789]) ).

thf(zip_derived_cl172_015,plain,
    ( ( ( h @ e11 )
      = e22 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl82_016,plain,
    ( ( op2 @ e22 @ e22 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1194,plain,
    ( ( e20 = e23 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl172,zip_derived_cl82]) ).

thf(zip_derived_cl17,plain,
    e20 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('6',plain,
    ( ( h @ e11 )
   != e22 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1194,zip_derived_cl17]) ).

thf(zip_derived_cl173,plain,
    ( ( ( h @ e11 )
      = e23 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl706_017,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl710,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e23 @ e23 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl706]) ).

thf(zip_derived_cl76_018,plain,
    ( ( op2 @ e23 @ e23 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl724,plain,
    ( ( ( h @ e14 )
      = e24 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl710,zip_derived_cl76]) ).

thf(zip_derived_cl873_019,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl884,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e24 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl873]) ).

thf(zip_derived_cl173_020,plain,
    ( ( ( h @ e11 )
      = e23 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl75,plain,
    ( ( op2 @ e23 @ e24 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl900,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl884,zip_derived_cl173,zip_derived_cl75]) ).

thf(zip_derived_cl856_021,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl964,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl900,zip_derived_cl856]) ).

thf(zip_derived_cl173_022,plain,
    ( ( ( h @ e11 )
      = e23 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl79,plain,
    ( ( op2 @ e23 @ e20 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl971,plain,
    ( ( ( h @ e12 )
      = e23 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl964,zip_derived_cl173,zip_derived_cl79]) ).

thf(zip_derived_cl789_023,plain,
    ( e20
    = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl62,zip_derived_cl623]) ).

thf(zip_derived_cl1255,plain,
    ( ( e20
      = ( op2 @ ( h @ e11 ) @ e23 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl789]) ).

thf(zip_derived_cl173_024,plain,
    ( ( ( h @ e11 )
      = e23 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl76_025,plain,
    ( ( op2 @ e23 @ e23 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1269,plain,
    ( ( e20 = e24 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1255,zip_derived_cl173,zip_derived_cl76]) ).

thf(zip_derived_cl16,plain,
    e20 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('7',plain,
    ( ( h @ e11 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1269,zip_derived_cl16]) ).

thf(zip_derived_cl171,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl706_026,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl708,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e21 @ e21 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl706]) ).

thf(zip_derived_cl88_027,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl722,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl708,zip_derived_cl88]) ).

thf(zip_derived_cl873_028,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl882,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl722,zip_derived_cl873]) ).

thf(zip_derived_cl171_029,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl89,plain,
    ( ( op2 @ e21 @ e20 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl898,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl882,zip_derived_cl171,zip_derived_cl89]) ).

thf(zip_derived_cl856_030,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl928,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e21 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl898,zip_derived_cl856]) ).

thf(zip_derived_cl171_031,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl88_032,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl935,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl928,zip_derived_cl171,zip_derived_cl88]) ).

thf(zip_derived_cl789_033,plain,
    ( e20
    = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl62,zip_derived_cl623]) ).

thf(zip_derived_cl1124,plain,
    ( ( e20
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl935,zip_derived_cl789]) ).

thf(zip_derived_cl171_034,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl89_035,plain,
    ( ( op2 @ e21 @ e20 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1135,plain,
    ( ( e20 = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1124,zip_derived_cl171,zip_derived_cl89]) ).

thf(zip_derived_cl19_036,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('8',plain,
    ( ( h @ e11 )
   != e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1135,zip_derived_cl19]) ).

thf(zip_derived_cl174,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl706_037,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl711,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e24 @ e24 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl706]) ).

thf(zip_derived_cl70_038,plain,
    ( ( op2 @ e24 @ e24 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl725,plain,
    ( ( ( h @ e14 )
      = e22 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl70]) ).

thf(zip_derived_cl873_039,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl885,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e22 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl873]) ).

thf(zip_derived_cl174_040,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl72,plain,
    ( ( op2 @ e24 @ e22 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl901,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl885,zip_derived_cl174,zip_derived_cl72]) ).

thf(zip_derived_cl123,plain,
    ( ( h @ ( op1 @ e13 @ e13 ) )
    = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ( ( op1 @ e13 @ e13 )
    = e11 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl1309,plain,
    ( ( h @ e11 )
    = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl51]) ).

thf(zip_derived_cl1318,plain,
    ( ( ( h @ e11 )
      = ( op2 @ e20 @ e20 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl1309]) ).

thf(zip_derived_cl174_041,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl94_042,plain,
    ( ( op2 @ e20 @ e20 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1340,plain,
    ( ( e24 = e20 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1318,zip_derived_cl174,zip_derived_cl94]) ).

thf(zip_derived_cl16_043,plain,
    e20 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('9',plain,
    ( ( h @ e11 )
   != e24 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1340,zip_derived_cl16]) ).

thf('10',plain,
    ( ( ( h @ e11 )
      = e20 )
    | ( ( h @ e11 )
      = e24 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e11 )
      = e23 )
    | ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf('11',plain,
    ( ( h @ e11 )
    = e20 ),
    inference('sat_resolution*',[status(thm)],['6','7','8','9','10']) ).

thf(zip_derived_cl101,plain,
    ( ( ( j @ e21 )
      = e10 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl197,plain,
    ( ( ( j @ e21 )
      = e12 )
   <= ( ( j @ e21 )
      = e12 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl156,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl653,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( j @ e21 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).

thf(zip_derived_cl177,plain,
    ( ( ( h @ e12 )
      = e22 )
   <= ( ( h @ e12 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl677,plain,
    ( ( e21 = e22 )
   <= ( ( ( h @ e12 )
        = e22 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl177]) ).

thf(zip_derived_cl15,plain,
    e21 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf('12',plain,
    ( ( ( h @ e12 )
     != e22 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl677,zip_derived_cl15]) ).

thf(zip_derived_cl653_044,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( j @ e21 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).

thf(zip_derived_cl178,plain,
    ( ( ( h @ e12 )
      = e23 )
   <= ( ( h @ e12 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl678,plain,
    ( ( e21 = e23 )
   <= ( ( ( h @ e12 )
        = e23 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl178]) ).

thf(zip_derived_cl14,plain,
    e21 != e23,
    inference(cnf,[status(esa)],[ax2]) ).

thf('13',plain,
    ( ( ( h @ e12 )
     != e23 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl678,zip_derived_cl14]) ).

thf(zip_derived_cl653_045,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( j @ e21 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).

thf(zip_derived_cl175,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( h @ e12 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl676,plain,
    ( ( e21 = e20 )
   <= ( ( ( h @ e12 )
        = e20 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl175]) ).

thf(zip_derived_cl19_046,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('14',plain,
    ( ( ( h @ e12 )
     != e20 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl676,zip_derived_cl19]) ).

thf(zip_derived_cl196,plain,
    ( ( ( j @ e21 )
      = e11 )
   <= ( ( j @ e21 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl156_047,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl652,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( j @ e21 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl156]) ).

thf(zip_derived_cl170_048,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl658,plain,
    ( ( e21 = e20 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( j @ e21 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl652,zip_derived_cl170]) ).

thf(zip_derived_cl19_049,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('15',plain,
    ( ( ( j @ e21 )
     != e11 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl658,zip_derived_cl19]) ).

thf(zip_derived_cl721_050,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl707,zip_derived_cl94]) ).

thf(zip_derived_cl199,plain,
    ( ( ( j @ e21 )
      = e14 )
   <= ( ( j @ e21 )
      = e14 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl156_051,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl655,plain,
    ( ( ( h @ e14 )
      = e21 )
   <= ( ( j @ e21 )
      = e14 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).

thf(zip_derived_cl739,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( j @ e21 )
        = e14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl655]) ).

thf(zip_derived_cl19_052,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('16',plain,
    ( ( ( j @ e21 )
     != e14 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl739,zip_derived_cl19]) ).

thf(zip_derived_cl195,plain,
    ( ( ( j @ e21 )
      = e10 )
   <= ( ( j @ e21 )
      = e10 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl156_053,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl651,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( j @ e21 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl156]) ).

thf(zip_derived_cl623_054,plain,
    ( ( h @ e10 )
    = e20 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl165,'5']) ).

thf(zip_derived_cl656,plain,
    ( ( e20 = e21 )
   <= ( ( j @ e21 )
      = e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl623]) ).

thf(zip_derived_cl19_055,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('17',plain,
    ( ( j @ e21 )
   != e10 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl656,zip_derived_cl19]) ).

thf(zip_derived_cl897_056,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl881,zip_derived_cl170,zip_derived_cl94]) ).

thf(zip_derived_cl198,plain,
    ( ( ( j @ e21 )
      = e13 )
   <= ( ( j @ e21 )
      = e13 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl156_057,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl654,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( j @ e21 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).

thf(zip_derived_cl915,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( j @ e21 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl897,zip_derived_cl654]) ).

thf(zip_derived_cl19_058,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('18',plain,
    ( ( ( j @ e21 )
     != e13 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl915,zip_derived_cl19]) ).

thf('19',plain,
    ( ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( j @ e21 )
      = e14 )
    | ( ( j @ e21 )
      = e11 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl653_059,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( j @ e21 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).

thf(zip_derived_cl179,plain,
    ( ( ( h @ e12 )
      = e24 )
   <= ( ( h @ e12 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf(zip_derived_cl679,plain,
    ( ( e21 = e24 )
   <= ( ( ( h @ e12 )
        = e24 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl179]) ).

thf(zip_derived_cl13,plain,
    e21 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('20',plain,
    ( ( ( h @ e12 )
     != e24 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl679,zip_derived_cl13]) ).

thf('21',plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e24 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('22',plain,
    ( ( h @ e12 )
    = e21 ),
    inference('sat_resolution*',[status(thm)],['12','13','14','15','16','17','6','7','8','9','10','18','19','20','21']) ).

thf(zip_derived_cl1450,plain,
    $false,
    inference(simpl_trail,[status(thm)],[zip_derived_cl1109,'11','22']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG083+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.X4LMxnh8Xv true
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 04:05:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.85  % Solved by fo/fo1_av.sh.
% 0.56/0.85  % done 573 iterations in 0.092s
% 0.56/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.85  % SZS output start Refutation
% See solution above
% 0.56/0.85  
% 0.56/0.85  
% 0.56/0.85  % Terminating...
% 0.75/0.95  % Runner terminated.
% 1.73/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------