TSTP Solution File: ALG082+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UvT30BAdYV true

% 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  : 300s
% DateTime : Wed Aug 30 17:10:24 EDT 2023

% Result   : Theorem 1.30s 0.89s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  219 (  80 unt;  14 typ;   0 def)
%            Number of atoms       :  637 ( 635 equ;   0 cnn)
%            Maximal formula atoms :  110 (   3 avg)
%            Number of connectives : 1939 (  57   ~; 123   |; 206   &;1450   @)
%                                         (   0 <=>;   2  =>; 101  <=;   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_cl715,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl716,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e20 @ e20 ) )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl715]) ).

thf(ax5,axiom,
    ( ( ( op2 @ e24 @ e24 )
      = e20 )
    & ( ( op2 @ e24 @ e23 )
      = e22 )
    & ( ( op2 @ e24 @ e22 )
      = e21 )
    & ( ( op2 @ e24 @ e21 )
      = e23 )
    & ( ( op2 @ e24 @ e20 )
      = e24 )
    & ( ( op2 @ e23 @ e24 )
      = e21 )
    & ( ( op2 @ e23 @ e23 )
      = e24 )
    & ( ( op2 @ e23 @ e22 )
      = e20 )
    & ( ( op2 @ e23 @ e21 )
      = e22 )
    & ( ( op2 @ e23 @ e20 )
      = e23 )
    & ( ( op2 @ e22 @ e24 )
      = e23 )
    & ( ( op2 @ e22 @ e23 )
      = e21 )
    & ( ( op2 @ e22 @ e22 )
      = e24 )
    & ( ( op2 @ e22 @ e21 )
      = e20 )
    & ( ( op2 @ e22 @ e20 )
      = e22 )
    & ( ( op2 @ e21 @ e24 )
      = e22 )
    & ( ( op2 @ e21 @ e23 )
      = e20 )
    & ( ( op2 @ e21 @ e22 )
      = e23 )
    & ( ( op2 @ e21 @ e21 )
      = e24 )
    & ( ( 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_cl730,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl716,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_cl883,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl891,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl883]) ).

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_cl905,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,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_cl868,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl925,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl868]) ).

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_cl931,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl925,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_cl1138,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e12 )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl931,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_cl1150,plain,
    ( $false
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e12 )
        = e21 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1138,zip_derived_cl19]) ).

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

thf(zip_derived_cl715_005,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl718,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e22 @ e22 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl715]) ).

thf(zip_derived_cl82,plain,
    ( ( op2 @ e22 @ e22 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl732,plain,
    ( ( ( h @ e14 )
      = e24 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl718,zip_derived_cl82]) ).

thf(zip_derived_cl883_006,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl893,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e24 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl883]) ).

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

thf(zip_derived_cl80,plain,
    ( ( op2 @ e22 @ e24 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl907,plain,
    ( ( ( h @ e13 )
      = e23 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl172,zip_derived_cl80]) ).

thf(zip_derived_cl868_008,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl965,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e23 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl907,zip_derived_cl868]) ).

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

thf(zip_derived_cl81,plain,
    ( ( op2 @ e22 @ e23 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl974,plain,
    ( ( ( h @ e12 )
      = e21 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl965,zip_derived_cl172,zip_derived_cl81]) ).

thf(zip_derived_cl117,plain,
    ( ( h @ ( op1 @ e12 @ e12 ) )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ( op1 @ e12 @ e12 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl1080,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).

thf(zip_derived_cl1228,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e21 @ e21 ) )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl974,zip_derived_cl1080]) ).

thf(zip_derived_cl907_010,plain,
    ( ( ( h @ e13 )
      = e23 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl893,zip_derived_cl172,zip_derived_cl80]) ).

thf(zip_derived_cl88,plain,
    ( ( op2 @ e21 @ e21 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1240,plain,
    ( ( e23 = e24 )
   <= ( ( h @ e11 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1228,zip_derived_cl907,zip_derived_cl88]) ).

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

thf('0',plain,
    ( ( h @ e11 )
   != e22 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1240,zip_derived_cl10]) ).

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

thf(zip_derived_cl715_011,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl717,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e21 @ e21 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl715]) ).

thf(zip_derived_cl88_012,plain,
    ( ( op2 @ e21 @ e21 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl731,plain,
    ( ( ( h @ e14 )
      = e24 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl88]) ).

thf(zip_derived_cl883_013,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl892,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e24 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl883]) ).

thf(zip_derived_cl171_014,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl85,plain,
    ( ( op2 @ e21 @ e24 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl906,plain,
    ( ( ( h @ e13 )
      = e22 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl892,zip_derived_cl171,zip_derived_cl85]) ).

thf(zip_derived_cl868_015,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl939,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e22 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl906,zip_derived_cl868]) ).

thf(zip_derived_cl171_016,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl87,plain,
    ( ( op2 @ e21 @ e22 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl947,plain,
    ( ( ( h @ e12 )
      = e23 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl939,zip_derived_cl171,zip_derived_cl87]) ).

thf(zip_derived_cl1080_017,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).

thf(zip_derived_cl1171,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e23 @ e23 ) )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl1080]) ).

thf(zip_derived_cl906_018,plain,
    ( ( ( h @ e13 )
      = e22 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl892,zip_derived_cl171,zip_derived_cl85]) ).

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

thf(zip_derived_cl1183,plain,
    ( ( e22 = e24 )
   <= ( ( h @ e11 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1171,zip_derived_cl906,zip_derived_cl76]) ).

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

thf('1',plain,
    ( ( h @ e11 )
   != e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1183,zip_derived_cl11]) ).

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

thf(zip_derived_cl715_019,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl719,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e23 @ e23 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl715]) ).

thf(zip_derived_cl76_020,plain,
    ( ( op2 @ e23 @ e23 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl733,plain,
    ( ( ( h @ e14 )
      = e24 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl719,zip_derived_cl76]) ).

thf(zip_derived_cl883_021,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl894,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e24 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl883]) ).

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

thf(zip_derived_cl75,plain,
    ( ( op2 @ e23 @ e24 )
    = e21 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl908,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl894,zip_derived_cl173,zip_derived_cl75]) ).

thf(zip_derived_cl868_023,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl983,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e21 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl908,zip_derived_cl868]) ).

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

thf(zip_derived_cl78,plain,
    ( ( op2 @ e23 @ e21 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl992,plain,
    ( ( ( h @ e12 )
      = e22 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl983,zip_derived_cl173,zip_derived_cl78]) ).

thf(zip_derived_cl1080_025,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).

thf(zip_derived_cl1272,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e22 @ e22 ) )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl992,zip_derived_cl1080]) ).

thf(zip_derived_cl908_026,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl894,zip_derived_cl173,zip_derived_cl75]) ).

thf(zip_derived_cl82_027,plain,
    ( ( op2 @ e22 @ e22 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1285,plain,
    ( ( e21 = e24 )
   <= ( ( h @ e11 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1272,zip_derived_cl908,zip_derived_cl82]) ).

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

thf('2',plain,
    ( ( h @ e11 )
   != e23 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1285,zip_derived_cl13]) ).

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

thf(zip_derived_cl715_028,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl63]) ).

thf(zip_derived_cl720,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e24 @ e24 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl715]) ).

thf(zip_derived_cl70,plain,
    ( ( op2 @ e24 @ e24 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl734,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl720,zip_derived_cl70]) ).

thf(zip_derived_cl883_029,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl60]) ).

thf(zip_derived_cl895,plain,
    ( ( ( h @ e13 )
      = ( op2 @ ( h @ e11 ) @ e20 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl883]) ).

thf(zip_derived_cl174_030,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl74,plain,
    ( ( op2 @ e24 @ e20 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl909,plain,
    ( ( ( h @ e13 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl174,zip_derived_cl74]) ).

thf(zip_derived_cl868_031,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).

thf(zip_derived_cl1003,plain,
    ( ( ( h @ e12 )
      = ( op2 @ ( h @ e11 ) @ e24 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl909,zip_derived_cl868]) ).

thf(zip_derived_cl174_032,plain,
    ( ( ( h @ e11 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl70_033,plain,
    ( ( op2 @ e24 @ e24 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1014,plain,
    ( ( ( h @ e12 )
      = e20 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1003,zip_derived_cl174,zip_derived_cl70]) ).

thf(zip_derived_cl1080_034,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl57]) ).

thf(zip_derived_cl1325,plain,
    ( ( ( h @ e13 )
      = ( op2 @ e20 @ e20 ) )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1014,zip_derived_cl1080]) ).

thf(zip_derived_cl909_035,plain,
    ( ( ( h @ e13 )
      = e24 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl895,zip_derived_cl174,zip_derived_cl74]) ).

thf(zip_derived_cl94_036,plain,
    ( ( op2 @ e20 @ e20 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1336,plain,
    ( ( e24 = e20 )
   <= ( ( h @ e11 )
      = e24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1325,zip_derived_cl909,zip_derived_cl94]) ).

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

thf('3',plain,
    ( ( h @ e11 )
   != e24 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1336,zip_derived_cl16]) ).

thf('4',plain,
    ( ( ( h @ e11 )
      = e20 )
    | ( ( h @ e11 )
      = e24 )
    | ( ( h @ e11 )
      = e23 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e11 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf('5',plain,
    ( ( h @ e11 )
    = e20 ),
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).

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_cl637,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_cl668,plain,
    ( ( e21 = e22 )
   <= ( ( ( h @ e12 )
        = e22 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl177]) ).

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

thf('6',plain,
    ( ( ( h @ e12 )
     != e22 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl668,zip_derived_cl15]) ).

thf(zip_derived_cl637_037,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_cl669,plain,
    ( ( e21 = e23 )
   <= ( ( ( h @ e12 )
        = e23 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl178]) ).

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

thf('7',plain,
    ( ( ( h @ e12 )
     != e23 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl669,zip_derived_cl14]) ).

thf(zip_derived_cl637_038,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_cl667,plain,
    ( ( e21 = e20 )
   <= ( ( ( h @ e12 )
        = e20 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl175]) ).

thf(zip_derived_cl19_039,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('8',plain,
    ( ( ( h @ e12 )
     != e20 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl667,zip_derived_cl19]) ).

thf(zip_derived_cl730_040,plain,
    ( ( ( h @ e14 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl716,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_041,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    ( ( ( h @ e14 )
      = e21 )
   <= ( ( j @ e21 )
      = e14 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).

thf(zip_derived_cl748,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( j @ e21 )
        = e14 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl639]) ).

thf(zip_derived_cl19_042,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('9',plain,
    ( ( ( j @ e21 )
     != e14 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl748,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_043,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl636,plain,
    ( ( ( h @ e11 )
      = e21 )
   <= ( ( j @ e21 )
      = e11 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl156]) ).

thf(zip_derived_cl170_044,plain,
    ( ( ( h @ e11 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl96]) ).

thf(zip_derived_cl647,plain,
    ( ( e21 = e20 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( j @ e21 )
        = e11 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl636,zip_derived_cl170]) ).

thf(zip_derived_cl19_045,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('10',plain,
    ( ( ( j @ e21 )
     != e11 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl647,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_046,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl635,plain,
    ( ( ( h @ e10 )
      = e21 )
   <= ( ( j @ e21 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl156]) ).

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_cl641,plain,
    ( ( e21
      = ( op2 @ e21 @ e21 ) )
   <= ( ( j @ e21 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl544]) ).

thf(zip_derived_cl88_047,plain,
    ( ( op2 @ e21 @ e21 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl700,plain,
    ( ( e21 = e24 )
   <= ( ( j @ e21 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl88]) ).

thf(zip_derived_cl13_048,plain,
    e21 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('11',plain,
    ( ( j @ e21 )
   != e10 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl700,zip_derived_cl13]) ).

thf(zip_derived_cl905_049,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl170,zip_derived_cl94]) ).

thf(zip_derived_cl98,plain,
    ( ( ( h @ e13 )
      = e20 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e13 )
      = e22 )
    | ( ( h @ e13 )
      = e23 )
    | ( ( h @ e13 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl181,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( h @ e13 )
      = e21 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl919,plain,
    ( ( e20 = e21 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e13 )
        = e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl181]) ).

thf(zip_derived_cl19_050,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('12',plain,
    ( ( ( h @ e13 )
     != e21 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl919,zip_derived_cl19]) ).

thf(zip_derived_cl905_051,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl170,zip_derived_cl94]) ).

thf(zip_derived_cl182,plain,
    ( ( ( h @ e13 )
      = e22 )
   <= ( ( h @ e13 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl920,plain,
    ( ( e20 = e22 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e13 )
        = e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl182]) ).

thf(zip_derived_cl18,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf('13',plain,
    ( ( ( h @ e13 )
     != e22 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl920,zip_derived_cl18]) ).

thf(zip_derived_cl905_052,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e11 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl891,zip_derived_cl170,zip_derived_cl94]) ).

thf(zip_derived_cl183,plain,
    ( ( ( h @ e13 )
      = e23 )
   <= ( ( h @ e13 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl921,plain,
    ( ( e20 = e23 )
   <= ( ( ( h @ e11 )
        = e20 )
      & ( ( h @ e13 )
        = e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl183]) ).

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

thf('14',plain,
    ( ( ( h @ e13 )
     != e23 )
    | ( ( h @ e11 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl921,zip_derived_cl17]) ).

thf(zip_derived_cl198,plain,
    ( ( ( j @ e21 )
      = e13 )
   <= ( ( j @ e21 )
      = e13 ) ),
    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_cl638,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( j @ e21 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).

thf(zip_derived_cl184,plain,
    ( ( ( h @ e13 )
      = e24 )
   <= ( ( h @ e13 )
      = e24 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl681,plain,
    ( ( e21 = e24 )
   <= ( ( ( h @ e13 )
        = e24 )
      & ( ( j @ e21 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl184]) ).

thf(zip_derived_cl13_054,plain,
    e21 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('15',plain,
    ( ( ( j @ e21 )
     != e13 )
    | ( ( h @ e13 )
     != e24 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl681,zip_derived_cl13]) ).

thf(zip_derived_cl638_055,plain,
    ( ( ( h @ e13 )
      = e21 )
   <= ( ( j @ e21 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).

thf(zip_derived_cl180,plain,
    ( ( ( h @ e13 )
      = e20 )
   <= ( ( h @ e13 )
      = e20 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf(zip_derived_cl678,plain,
    ( ( e21 = e20 )
   <= ( ( ( h @ e13 )
        = e20 )
      & ( ( j @ e21 )
        = e13 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl180]) ).

thf(zip_derived_cl19_056,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf('16',plain,
    ( ( ( j @ e21 )
     != e13 )
    | ( ( h @ e13 )
     != e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl678,zip_derived_cl19]) ).

thf('17',plain,
    ( ( ( h @ e13 )
      = e20 )
    | ( ( h @ e13 )
      = e24 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e13 )
      = e22 )
    | ( ( h @ e13 )
      = e23 ) ),
    inference(split,[status(esa)],[zip_derived_cl98]) ).

thf('18',plain,
    ( ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e14 ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl637_057,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_cl670,plain,
    ( ( e21 = e24 )
   <= ( ( ( h @ e12 )
        = e24 )
      & ( ( j @ e21 )
        = e12 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl179]) ).

thf(zip_derived_cl13_058,plain,
    e21 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf('19',plain,
    ( ( ( h @ e12 )
     != e24 )
    | ( ( j @ e21 )
     != e12 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl670,zip_derived_cl13]) ).

thf('20',plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e24 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 ) ),
    inference(split,[status(esa)],[zip_derived_cl97]) ).

thf('21',plain,
    ( ( h @ e12 )
    = e21 ),
    inference('sat_resolution*',[status(thm)],['6','7','8','9','10','11','12','13','0','1','2','3','4','14','15','16','17','18','19','20']) ).

thf(zip_derived_cl1445,plain,
    $false,
    inference(simpl_trail,[status(thm)],[zip_derived_cl1150,'5','21']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UvT30BAdYV true
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 05:46:04 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.25/0.81  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.89  % Solved by fo/fo1_av.sh.
% 1.30/0.89  % done 584 iterations in 0.092s
% 1.30/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.89  % SZS output start Refutation
% See solution above
% 1.30/0.89  
% 1.30/0.89  
% 1.30/0.89  % Terminating...
% 1.63/0.97  % Runner terminated.
% 1.63/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------