TSTP Solution File: ALG031+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG031+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.f3aTrXF8FG 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 17:10:10 EDT 2023

% Result   : Theorem 1.30s 0.99s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  194 ( 101 unt;  16 typ;   0 def)
%            Number of atoms       :  810 ( 809 equ;   0 cnn)
%            Maximal formula atoms :  156 (   4 avg)
%            Number of connectives : 2582 (  48   ~; 344   |; 286   &;1902   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   87 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(e20_type,type,
    e20: $i ).

thf(e25_type,type,
    e25: $i ).

thf(e15_type,type,
    e15: $i ).

thf(e21_type,type,
    e21: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

thf(co1,conjecture,
    ( ( ( ( ( h @ e10 )
          = e20 )
        | ( ( h @ e10 )
          = e21 )
        | ( ( h @ e10 )
          = e22 )
        | ( ( h @ e10 )
          = e23 )
        | ( ( h @ e10 )
          = e24 )
        | ( ( h @ e10 )
          = e25 ) )
      & ( ( ( h @ e11 )
          = e20 )
        | ( ( h @ e11 )
          = e21 )
        | ( ( h @ e11 )
          = e22 )
        | ( ( h @ e11 )
          = e23 )
        | ( ( h @ e11 )
          = e24 )
        | ( ( h @ e11 )
          = e25 ) )
      & ( ( ( h @ e12 )
          = e20 )
        | ( ( h @ e12 )
          = e21 )
        | ( ( h @ e12 )
          = e22 )
        | ( ( h @ e12 )
          = e23 )
        | ( ( h @ e12 )
          = e24 )
        | ( ( h @ e12 )
          = e25 ) )
      & ( ( ( h @ e13 )
          = e20 )
        | ( ( h @ e13 )
          = e21 )
        | ( ( h @ e13 )
          = e22 )
        | ( ( h @ e13 )
          = e23 )
        | ( ( h @ e13 )
          = e24 )
        | ( ( h @ e13 )
          = e25 ) )
      & ( ( ( h @ e14 )
          = e20 )
        | ( ( h @ e14 )
          = e21 )
        | ( ( h @ e14 )
          = e22 )
        | ( ( h @ e14 )
          = e23 )
        | ( ( h @ e14 )
          = e24 )
        | ( ( h @ e14 )
          = e25 ) )
      & ( ( ( h @ e15 )
          = e20 )
        | ( ( h @ e15 )
          = e21 )
        | ( ( h @ e15 )
          = e22 )
        | ( ( h @ e15 )
          = e23 )
        | ( ( h @ e15 )
          = e24 )
        | ( ( h @ e15 )
          = e25 ) )
      & ( ( ( j @ e20 )
          = e10 )
        | ( ( j @ e20 )
          = e11 )
        | ( ( j @ e20 )
          = e12 )
        | ( ( j @ e20 )
          = e13 )
        | ( ( j @ e20 )
          = e14 )
        | ( ( j @ e20 )
          = e15 ) )
      & ( ( ( j @ e21 )
          = e10 )
        | ( ( j @ e21 )
          = e11 )
        | ( ( j @ e21 )
          = e12 )
        | ( ( j @ e21 )
          = e13 )
        | ( ( j @ e21 )
          = e14 )
        | ( ( j @ e21 )
          = e15 ) )
      & ( ( ( j @ e22 )
          = e10 )
        | ( ( j @ e22 )
          = e11 )
        | ( ( j @ e22 )
          = e12 )
        | ( ( j @ e22 )
          = e13 )
        | ( ( j @ e22 )
          = e14 )
        | ( ( j @ e22 )
          = e15 ) )
      & ( ( ( j @ e23 )
          = e10 )
        | ( ( j @ e23 )
          = e11 )
        | ( ( j @ e23 )
          = e12 )
        | ( ( j @ e23 )
          = e13 )
        | ( ( j @ e23 )
          = e14 )
        | ( ( j @ e23 )
          = e15 ) )
      & ( ( ( j @ e24 )
          = e10 )
        | ( ( j @ e24 )
          = e11 )
        | ( ( j @ e24 )
          = e12 )
        | ( ( j @ e24 )
          = e13 )
        | ( ( j @ e24 )
          = e14 )
        | ( ( j @ e24 )
          = e15 ) )
      & ( ( ( j @ e25 )
          = e10 )
        | ( ( j @ e25 )
          = e11 )
        | ( ( j @ e25 )
          = e12 )
        | ( ( j @ e25 )
          = e13 )
        | ( ( j @ e25 )
          = e14 )
        | ( ( j @ e25 )
          = e15 ) ) )
   => ~ ( ( ( 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 @ e10 @ e15 ) )
          = ( op2 @ ( h @ e10 ) @ ( h @ e15 ) ) )
        & ( ( 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 @ e11 @ e15 ) )
          = ( op2 @ ( h @ e11 ) @ ( h @ e15 ) ) )
        & ( ( 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 @ e12 @ e15 ) )
          = ( op2 @ ( h @ e12 ) @ ( h @ e15 ) ) )
        & ( ( 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 @ e13 @ e15 ) )
          = ( op2 @ ( h @ e13 ) @ ( h @ e15 ) ) )
        & ( ( 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 ) ) )
        & ( ( h @ ( op1 @ e14 @ e15 ) )
          = ( op2 @ ( h @ e14 ) @ ( h @ e15 ) ) )
        & ( ( h @ ( op1 @ e15 @ e10 ) )
          = ( op2 @ ( h @ e15 ) @ ( h @ e10 ) ) )
        & ( ( h @ ( op1 @ e15 @ e11 ) )
          = ( op2 @ ( h @ e15 ) @ ( h @ e11 ) ) )
        & ( ( h @ ( op1 @ e15 @ e12 ) )
          = ( op2 @ ( h @ e15 ) @ ( h @ e12 ) ) )
        & ( ( h @ ( op1 @ e15 @ e13 ) )
          = ( op2 @ ( h @ e15 ) @ ( h @ e13 ) ) )
        & ( ( h @ ( op1 @ e15 @ e14 ) )
          = ( op2 @ ( h @ e15 ) @ ( h @ e14 ) ) )
        & ( ( h @ ( op1 @ e15 @ e15 ) )
          = ( op2 @ ( h @ e15 ) @ ( h @ e15 ) ) )
        & ( ( 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 @ e20 @ e25 ) )
          = ( op1 @ ( j @ e20 ) @ ( j @ e25 ) ) )
        & ( ( 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 @ e21 @ e25 ) )
          = ( op1 @ ( j @ e21 ) @ ( j @ e25 ) ) )
        & ( ( 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 @ e22 @ e25 ) )
          = ( op1 @ ( j @ e22 ) @ ( j @ e25 ) ) )
        & ( ( 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 @ e23 @ e25 ) )
          = ( op1 @ ( j @ e23 ) @ ( j @ e25 ) ) )
        & ( ( 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 ) ) )
        & ( ( j @ ( op2 @ e24 @ e25 ) )
          = ( op1 @ ( j @ e24 ) @ ( j @ e25 ) ) )
        & ( ( j @ ( op2 @ e25 @ e20 ) )
          = ( op1 @ ( j @ e25 ) @ ( j @ e20 ) ) )
        & ( ( j @ ( op2 @ e25 @ e21 ) )
          = ( op1 @ ( j @ e25 ) @ ( j @ e21 ) ) )
        & ( ( j @ ( op2 @ e25 @ e22 ) )
          = ( op1 @ ( j @ e25 ) @ ( j @ e22 ) ) )
        & ( ( j @ ( op2 @ e25 @ e23 ) )
          = ( op1 @ ( j @ e25 ) @ ( j @ e23 ) ) )
        & ( ( j @ ( op2 @ e25 @ e24 ) )
          = ( op1 @ ( j @ e25 ) @ ( j @ e24 ) ) )
        & ( ( j @ ( op2 @ e25 @ e25 ) )
          = ( op1 @ ( j @ e25 ) @ ( j @ e25 ) ) )
        & ( ( h @ ( j @ e20 ) )
          = e20 )
        & ( ( h @ ( j @ e21 ) )
          = e21 )
        & ( ( h @ ( j @ e22 ) )
          = e22 )
        & ( ( h @ ( j @ e23 ) )
          = e23 )
        & ( ( h @ ( j @ e24 ) )
          = e24 )
        & ( ( h @ ( j @ e25 ) )
          = e25 )
        & ( ( j @ ( h @ e10 ) )
          = e10 )
        & ( ( j @ ( h @ e11 ) )
          = e11 )
        & ( ( j @ ( h @ e12 ) )
          = e12 )
        & ( ( j @ ( h @ e13 ) )
          = e13 )
        & ( ( j @ ( h @ e14 ) )
          = e14 )
        & ( ( j @ ( h @ e15 ) )
          = e15 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( ( h @ e10 )
            = e20 )
          | ( ( h @ e10 )
            = e21 )
          | ( ( h @ e10 )
            = e22 )
          | ( ( h @ e10 )
            = e23 )
          | ( ( h @ e10 )
            = e24 )
          | ( ( h @ e10 )
            = e25 ) )
        & ( ( ( h @ e11 )
            = e20 )
          | ( ( h @ e11 )
            = e21 )
          | ( ( h @ e11 )
            = e22 )
          | ( ( h @ e11 )
            = e23 )
          | ( ( h @ e11 )
            = e24 )
          | ( ( h @ e11 )
            = e25 ) )
        & ( ( ( h @ e12 )
            = e20 )
          | ( ( h @ e12 )
            = e21 )
          | ( ( h @ e12 )
            = e22 )
          | ( ( h @ e12 )
            = e23 )
          | ( ( h @ e12 )
            = e24 )
          | ( ( h @ e12 )
            = e25 ) )
        & ( ( ( h @ e13 )
            = e20 )
          | ( ( h @ e13 )
            = e21 )
          | ( ( h @ e13 )
            = e22 )
          | ( ( h @ e13 )
            = e23 )
          | ( ( h @ e13 )
            = e24 )
          | ( ( h @ e13 )
            = e25 ) )
        & ( ( ( h @ e14 )
            = e20 )
          | ( ( h @ e14 )
            = e21 )
          | ( ( h @ e14 )
            = e22 )
          | ( ( h @ e14 )
            = e23 )
          | ( ( h @ e14 )
            = e24 )
          | ( ( h @ e14 )
            = e25 ) )
        & ( ( ( h @ e15 )
            = e20 )
          | ( ( h @ e15 )
            = e21 )
          | ( ( h @ e15 )
            = e22 )
          | ( ( h @ e15 )
            = e23 )
          | ( ( h @ e15 )
            = e24 )
          | ( ( h @ e15 )
            = e25 ) )
        & ( ( ( j @ e20 )
            = e10 )
          | ( ( j @ e20 )
            = e11 )
          | ( ( j @ e20 )
            = e12 )
          | ( ( j @ e20 )
            = e13 )
          | ( ( j @ e20 )
            = e14 )
          | ( ( j @ e20 )
            = e15 ) )
        & ( ( ( j @ e21 )
            = e10 )
          | ( ( j @ e21 )
            = e11 )
          | ( ( j @ e21 )
            = e12 )
          | ( ( j @ e21 )
            = e13 )
          | ( ( j @ e21 )
            = e14 )
          | ( ( j @ e21 )
            = e15 ) )
        & ( ( ( j @ e22 )
            = e10 )
          | ( ( j @ e22 )
            = e11 )
          | ( ( j @ e22 )
            = e12 )
          | ( ( j @ e22 )
            = e13 )
          | ( ( j @ e22 )
            = e14 )
          | ( ( j @ e22 )
            = e15 ) )
        & ( ( ( j @ e23 )
            = e10 )
          | ( ( j @ e23 )
            = e11 )
          | ( ( j @ e23 )
            = e12 )
          | ( ( j @ e23 )
            = e13 )
          | ( ( j @ e23 )
            = e14 )
          | ( ( j @ e23 )
            = e15 ) )
        & ( ( ( j @ e24 )
            = e10 )
          | ( ( j @ e24 )
            = e11 )
          | ( ( j @ e24 )
            = e12 )
          | ( ( j @ e24 )
            = e13 )
          | ( ( j @ e24 )
            = e14 )
          | ( ( j @ e24 )
            = e15 ) )
        & ( ( ( j @ e25 )
            = e10 )
          | ( ( j @ e25 )
            = e11 )
          | ( ( j @ e25 )
            = e12 )
          | ( ( j @ e25 )
            = e13 )
          | ( ( j @ e25 )
            = e14 )
          | ( ( j @ e25 )
            = e15 ) ) )
     => ~ ( ( ( 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 @ e10 @ e15 ) )
            = ( op2 @ ( h @ e10 ) @ ( h @ e15 ) ) )
          & ( ( 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 @ e11 @ e15 ) )
            = ( op2 @ ( h @ e11 ) @ ( h @ e15 ) ) )
          & ( ( 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 @ e12 @ e15 ) )
            = ( op2 @ ( h @ e12 ) @ ( h @ e15 ) ) )
          & ( ( 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 @ e13 @ e15 ) )
            = ( op2 @ ( h @ e13 ) @ ( h @ e15 ) ) )
          & ( ( 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 ) ) )
          & ( ( h @ ( op1 @ e14 @ e15 ) )
            = ( op2 @ ( h @ e14 ) @ ( h @ e15 ) ) )
          & ( ( h @ ( op1 @ e15 @ e10 ) )
            = ( op2 @ ( h @ e15 ) @ ( h @ e10 ) ) )
          & ( ( h @ ( op1 @ e15 @ e11 ) )
            = ( op2 @ ( h @ e15 ) @ ( h @ e11 ) ) )
          & ( ( h @ ( op1 @ e15 @ e12 ) )
            = ( op2 @ ( h @ e15 ) @ ( h @ e12 ) ) )
          & ( ( h @ ( op1 @ e15 @ e13 ) )
            = ( op2 @ ( h @ e15 ) @ ( h @ e13 ) ) )
          & ( ( h @ ( op1 @ e15 @ e14 ) )
            = ( op2 @ ( h @ e15 ) @ ( h @ e14 ) ) )
          & ( ( h @ ( op1 @ e15 @ e15 ) )
            = ( op2 @ ( h @ e15 ) @ ( h @ e15 ) ) )
          & ( ( 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 @ e20 @ e25 ) )
            = ( op1 @ ( j @ e20 ) @ ( j @ e25 ) ) )
          & ( ( 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 @ e21 @ e25 ) )
            = ( op1 @ ( j @ e21 ) @ ( j @ e25 ) ) )
          & ( ( 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 @ e22 @ e25 ) )
            = ( op1 @ ( j @ e22 ) @ ( j @ e25 ) ) )
          & ( ( 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 @ e23 @ e25 ) )
            = ( op1 @ ( j @ e23 ) @ ( j @ e25 ) ) )
          & ( ( 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 ) ) )
          & ( ( j @ ( op2 @ e24 @ e25 ) )
            = ( op1 @ ( j @ e24 ) @ ( j @ e25 ) ) )
          & ( ( j @ ( op2 @ e25 @ e20 ) )
            = ( op1 @ ( j @ e25 ) @ ( j @ e20 ) ) )
          & ( ( j @ ( op2 @ e25 @ e21 ) )
            = ( op1 @ ( j @ e25 ) @ ( j @ e21 ) ) )
          & ( ( j @ ( op2 @ e25 @ e22 ) )
            = ( op1 @ ( j @ e25 ) @ ( j @ e22 ) ) )
          & ( ( j @ ( op2 @ e25 @ e23 ) )
            = ( op1 @ ( j @ e25 ) @ ( j @ e23 ) ) )
          & ( ( j @ ( op2 @ e25 @ e24 ) )
            = ( op1 @ ( j @ e25 ) @ ( j @ e24 ) ) )
          & ( ( j @ ( op2 @ e25 @ e25 ) )
            = ( op1 @ ( j @ e25 ) @ ( j @ e25 ) ) )
          & ( ( h @ ( j @ e20 ) )
            = e20 )
          & ( ( h @ ( j @ e21 ) )
            = e21 )
          & ( ( h @ ( j @ e22 ) )
            = e22 )
          & ( ( h @ ( j @ e23 ) )
            = e23 )
          & ( ( h @ ( j @ e24 ) )
            = e24 )
          & ( ( h @ ( j @ e25 ) )
            = e25 )
          & ( ( j @ ( h @ e10 ) )
            = e10 )
          & ( ( j @ ( h @ e11 ) )
            = e11 )
          & ( ( j @ ( h @ e12 ) )
            = e12 )
          & ( ( j @ ( h @ e13 ) )
            = e13 )
          & ( ( j @ ( h @ e14 ) )
            = e14 )
          & ( ( j @ ( h @ e15 ) )
            = e15 ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl230,plain,
    ( ( j @ ( h @ e12 ) )
    = e12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e24 )
    | ( ( h @ e12 )
      = e25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl164,plain,
    ( ( h @ ( op1 @ e12 @ e12 ) )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax4,axiom,
    ( ( ( op1 @ e15 @ e15 )
      = e12 )
    & ( ( op1 @ e15 @ e14 )
      = e10 )
    & ( ( op1 @ e15 @ e13 )
      = e14 )
    & ( ( op1 @ e15 @ e12 )
      = e11 )
    & ( ( op1 @ e15 @ e11 )
      = e13 )
    & ( ( op1 @ e15 @ e10 )
      = e15 )
    & ( ( op1 @ e14 @ e15 )
      = e10 )
    & ( ( op1 @ e14 @ e14 )
      = e13 )
    & ( ( op1 @ e14 @ e13 )
      = e11 )
    & ( ( op1 @ e14 @ e12 )
      = e15 )
    & ( ( op1 @ e14 @ e11 )
      = e12 )
    & ( ( op1 @ e14 @ e10 )
      = e14 )
    & ( ( op1 @ e13 @ e15 )
      = e14 )
    & ( ( op1 @ e13 @ e14 )
      = e11 )
    & ( ( op1 @ e13 @ e13 )
      = e12 )
    & ( ( op1 @ e13 @ e12 )
      = e10 )
    & ( ( op1 @ e13 @ e11 )
      = e15 )
    & ( ( op1 @ e13 @ e10 )
      = e13 )
    & ( ( op1 @ e12 @ e15 )
      = e11 )
    & ( ( op1 @ e12 @ e14 )
      = e15 )
    & ( ( op1 @ e12 @ e13 )
      = e10 )
    & ( ( op1 @ e12 @ e12 )
      = e13 )
    & ( ( op1 @ e12 @ e11 )
      = e14 )
    & ( ( op1 @ e12 @ e10 )
      = e12 )
    & ( ( op1 @ e11 @ e15 )
      = e13 )
    & ( ( op1 @ e11 @ e14 )
      = e12 )
    & ( ( op1 @ e11 @ e13 )
      = e15 )
    & ( ( op1 @ e11 @ e12 )
      = e14 )
    & ( ( op1 @ e11 @ e11 )
      = e10 )
    & ( ( op1 @ e11 @ e10 )
      = e11 )
    & ( ( op1 @ e10 @ e15 )
      = e15 )
    & ( ( op1 @ e10 @ e14 )
      = e14 )
    & ( ( op1 @ e10 @ e13 )
      = e13 )
    & ( ( op1 @ e10 @ e12 )
      = e12 )
    & ( ( op1 @ e10 @ e11 )
      = e11 )
    & ( ( op1 @ e10 @ e10 )
      = e10 ) ) ).

thf(zip_derived_cl87,plain,
    ( ( op1 @ e12 @ e12 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl248,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl87]) ).

thf(zip_derived_cl347,plain,
    ( ( ( h @ e12 )
      = e24 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e13 )
      = ( op2 @ e25 @ e25 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl140,zip_derived_cl248]) ).

thf(ax5,axiom,
    ( ( ( op2 @ e25 @ e25 )
      = e20 )
    & ( ( op2 @ e25 @ e24 )
      = e22 )
    & ( ( op2 @ e25 @ e23 )
      = e21 )
    & ( ( op2 @ e25 @ e22 )
      = e24 )
    & ( ( op2 @ e25 @ e21 )
      = e23 )
    & ( ( op2 @ e25 @ e20 )
      = e25 )
    & ( ( op2 @ e24 @ e25 )
      = e21 )
    & ( ( op2 @ e24 @ e24 )
      = e23 )
    & ( ( op2 @ e24 @ e23 )
      = e20 )
    & ( ( op2 @ e24 @ e22 )
      = e25 )
    & ( ( op2 @ e24 @ e21 )
      = e22 )
    & ( ( op2 @ e24 @ e20 )
      = e24 )
    & ( ( op2 @ e23 @ e25 )
      = e22 )
    & ( ( op2 @ e23 @ e24 )
      = e20 )
    & ( ( op2 @ e23 @ e23 )
      = e24 )
    & ( ( op2 @ e23 @ e22 )
      = e21 )
    & ( ( op2 @ e23 @ e21 )
      = e25 )
    & ( ( op2 @ e23 @ e20 )
      = e23 )
    & ( ( op2 @ e22 @ e25 )
      = e23 )
    & ( ( op2 @ e22 @ e24 )
      = e21 )
    & ( ( op2 @ e22 @ e23 )
      = e25 )
    & ( ( op2 @ e22 @ e22 )
      = e20 )
    & ( ( op2 @ e22 @ e21 )
      = e24 )
    & ( ( op2 @ e22 @ e20 )
      = e22 )
    & ( ( op2 @ e21 @ e25 )
      = e24 )
    & ( ( op2 @ e21 @ e24 )
      = e25 )
    & ( ( op2 @ e21 @ e23 )
      = e22 )
    & ( ( op2 @ e21 @ e22 )
      = e23 )
    & ( ( op2 @ e21 @ e21 )
      = e20 )
    & ( ( op2 @ e21 @ e20 )
      = e21 )
    & ( ( op2 @ e20 @ e25 )
      = e25 )
    & ( ( op2 @ e20 @ e24 )
      = e24 )
    & ( ( op2 @ e20 @ e23 )
      = e23 )
    & ( ( op2 @ e20 @ e22 )
      = e22 )
    & ( ( op2 @ e20 @ e21 )
      = e21 )
    & ( ( op2 @ e20 @ e20 )
      = e20 ) ) ).

thf(zip_derived_cl102,plain,
    ( ( op2 @ e25 @ e25 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl354,plain,
    ( ( ( h @ e12 )
      = e24 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e13 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl102]) ).

thf(zip_derived_cl231,plain,
    ( ( j @ ( h @ e13 ) )
    = e13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl793,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e24 )
    | ( ( j @ e20 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl354,zip_derived_cl231]) ).

thf(zip_derived_cl228,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e24 )
    | ( ( h @ e10 )
      = e25 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ( ( h @ ( op1 @ e10 @ e10 ) )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    ( ( op1 @ e10 @ e10 )
    = e10 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl234,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl101]) ).

thf(zip_derived_cl312,plain,
    ( ( ( h @ e10 )
      = e24 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( e25
      = ( op2 @ e25 @ e25 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl234]) ).

thf(zip_derived_cl102_001,plain,
    ( ( op2 @ e25 @ e25 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl314,plain,
    ( ( ( h @ e10 )
      = e24 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( e25 = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl102]) ).

thf(ax2,axiom,
    ( ( e24 != e25 )
    & ( e23 != e25 )
    & ( e23 != e24 )
    & ( e22 != e25 )
    & ( e22 != e24 )
    & ( e22 != e23 )
    & ( e21 != e25 )
    & ( e21 != e24 )
    & ( e21 != e23 )
    & ( e21 != e22 )
    & ( e20 != e25 )
    & ( e20 != e24 )
    & ( e20 != e23 )
    & ( e20 != e22 )
    & ( e20 != e21 ) ) ).

thf(zip_derived_cl25,plain,
    e20 != e25,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl315,plain,
    ( ( ( h @ e10 )
      = e24 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl314,zip_derived_cl25]) ).

thf(zip_derived_cl234_002,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl101]) ).

thf(zip_derived_cl471,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( e24
      = ( op2 @ e24 @ e24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl315,zip_derived_cl234]) ).

thf(zip_derived_cl109,plain,
    ( ( op2 @ e24 @ e24 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl487,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( e24 = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl109]) ).

thf(zip_derived_cl17,plain,
    e23 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl488,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl487,zip_derived_cl17]) ).

thf(zip_derived_cl228_003,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl491,plain,
    ( ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( j @ e23 )
      = e10 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl488,zip_derived_cl228]) ).

thf(zip_derived_cl207,plain,
    ( ( j @ ( op2 @ e23 @ e23 ) )
    = ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    ( ( op2 @ e23 @ e23 )
    = e24 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl291,plain,
    ( ( j @ e24 )
    = ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl116]) ).

thf(zip_derived_cl534,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( j @ e24 )
      = ( op1 @ e10 @ e10 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl491,zip_derived_cl291]) ).

thf(zip_derived_cl101_004,plain,
    ( ( op1 @ e10 @ e10 )
    = e10 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl540,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( j @ e24 )
      = e10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl101]) ).

thf(zip_derived_cl226,plain,
    ( ( h @ ( j @ e24 ) )
    = e24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl542,plain,
    ( ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e24 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl540,zip_derived_cl226]) ).

thf(zip_derived_cl234_005,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl101]) ).

thf(zip_derived_cl558,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( e24
      = ( op2 @ e24 @ e24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl542,zip_derived_cl234]) ).

thf(zip_derived_cl109_006,plain,
    ( ( op2 @ e24 @ e24 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl574,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( e24 = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl109]) ).

thf(zip_derived_cl17_007,plain,
    e23 != e24,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl575,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl574,zip_derived_cl17]) ).

thf(zip_derived_cl234_008,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl101]) ).

thf(zip_derived_cl580,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( e22
      = ( op2 @ e22 @ e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl575,zip_derived_cl234]) ).

thf(zip_derived_cl123,plain,
    ( ( op2 @ e22 @ e22 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl594,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( e22 = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl580,zip_derived_cl123]) ).

thf(zip_derived_cl28,plain,
    e20 != e22,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl595,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl594,zip_derived_cl28]) ).

thf(zip_derived_cl234_009,plain,
    ( ( h @ e10 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl101]) ).

thf(zip_derived_cl599,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( e21
      = ( op2 @ e21 @ e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl234]) ).

thf(zip_derived_cl130,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl612,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( e21 = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl599,zip_derived_cl130]) ).

thf(zip_derived_cl29,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl613,plain,
    ( ( h @ e10 )
    = e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl612,zip_derived_cl29]) ).

thf(zip_derived_cl616,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl807,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e24 )
    | ( e10 = e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl793,zip_derived_cl616]) ).

thf(ax1,axiom,
    ( ( e14 != e15 )
    & ( e13 != e15 )
    & ( e13 != e14 )
    & ( e12 != e15 )
    & ( e12 != e14 )
    & ( e12 != e13 )
    & ( e11 != e15 )
    & ( e11 != e14 )
    & ( e11 != e13 )
    & ( e11 != e12 )
    & ( e10 != e15 )
    & ( e10 != e14 )
    & ( e10 != e13 )
    & ( e10 != e12 )
    & ( e10 != e11 ) ) ).

thf(zip_derived_cl12,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl808,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e24 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl807,zip_derived_cl12]) ).

thf(zip_derived_cl158,plain,
    ( ( h @ ( op1 @ e11 @ e12 ) )
    = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl93,plain,
    ( ( op1 @ e11 @ e12 )
    = e14 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl242,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl93]) ).

thf(zip_derived_cl145,plain,
    ( ( ( j @ e21 )
      = e10 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e14 )
    | ( ( j @ e21 )
      = e15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    ( ( j @ ( op2 @ e21 @ e21 ) )
    = ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_010,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl277,plain,
    ( ( j @ e20 )
    = ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl130]) ).

thf(zip_derived_cl452,plain,
    ( ( ( j @ e21 )
      = e14 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( j @ e20 )
      = ( op1 @ e15 @ e15 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl145,zip_derived_cl277]) ).

thf(zip_derived_cl66,plain,
    ( ( op1 @ e15 @ e15 )
    = e12 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl466,plain,
    ( ( ( j @ e21 )
      = e14 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( j @ e20 )
      = e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl66]) ).

thf(zip_derived_cl616_011,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl1024,plain,
    ( ( ( j @ e21 )
      = e14 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e10 )
    | ( e10 = e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl616]) ).

thf(zip_derived_cl13,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1025,plain,
    ( ( ( j @ e21 )
      = e14 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e10 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1024,zip_derived_cl13]) ).

thf(zip_derived_cl223,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1026,plain,
    ( ( ( j @ e21 )
      = e10 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e13 )
    | ( ( h @ e14 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1025,zip_derived_cl223]) ).

thf(zip_derived_cl223_012,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1043,plain,
    ( ( ( h @ e14 )
      = e21 )
    | ( ( j @ e21 )
      = e12 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( h @ e13 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1026,zip_derived_cl223]) ).

thf(zip_derived_cl223_013,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1061,plain,
    ( ( ( h @ e13 )
      = e21 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( j @ e21 )
      = e11 )
    | ( ( h @ e14 )
      = e21 )
    | ( ( h @ e12 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1043,zip_derived_cl223]) ).

thf(zip_derived_cl223_014,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1080,plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e14 )
      = e21 )
    | ( ( j @ e21 )
      = e10 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e11 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1061,zip_derived_cl223]) ).

thf(zip_derived_cl223_015,plain,
    ( ( h @ ( j @ e21 ) )
    = e21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1100,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e14 )
      = e21 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e10 )
      = e21 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1080,zip_derived_cl223]) ).

thf(zip_derived_cl613_016,plain,
    ( ( h @ e10 )
    = e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl612,zip_derived_cl29]) ).

thf(zip_derived_cl1117,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e14 )
      = e21 )
    | ( ( h @ e12 )
      = e21 )
    | ( e20 = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1100,zip_derived_cl613]) ).

thf(zip_derived_cl29_017,plain,
    e20 != e21,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl1118,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e14 )
      = e21 )
    | ( ( h @ e12 )
      = e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1117,zip_derived_cl29]) ).

thf(zip_derived_cl178,plain,
    ( ( h @ ( op1 @ e14 @ e14 ) )
    = ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl73,plain,
    ( ( op1 @ e14 @ e14 )
    = e13 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl262,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl73]) ).

thf(zip_derived_cl1135,plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e13 )
      = ( op2 @ e21 @ e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1118,zip_derived_cl262]) ).

thf(zip_derived_cl130_018,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1143,plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e13 )
      = e21 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e13 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1135,zip_derived_cl130]) ).

thf(zip_derived_cl171,plain,
    ( ( h @ ( op1 @ e13 @ e13 ) )
    = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl80,plain,
    ( ( op1 @ e13 @ e13 )
    = e12 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl255,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl80]) ).

thf(zip_derived_cl1171,plain,
    ( ( ( h @ e13 )
      = e20 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = ( op2 @ e21 @ e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1143,zip_derived_cl255]) ).

thf(zip_derived_cl130_019,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1185,plain,
    ( ( ( h @ e13 )
      = e20 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1171,zip_derived_cl130]) ).

thf(zip_derived_cl231_020,plain,
    ( ( j @ ( h @ e13 ) )
    = e13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1214,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( j @ e20 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1185,zip_derived_cl231]) ).

thf(zip_derived_cl616_021,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl1231,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e11 )
      = e21 )
    | ( e10 = e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1214,zip_derived_cl616]) ).

thf(zip_derived_cl12_022,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1232,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e11 )
      = e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1231,zip_derived_cl12]) ).

thf(zip_derived_cl248_023,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl87]) ).

thf(zip_derived_cl1246,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e13 )
      = ( op2 @ e21 @ e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1232,zip_derived_cl248]) ).

thf(zip_derived_cl130_024,plain,
    ( ( op2 @ e21 @ e21 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1258,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e13 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1246,zip_derived_cl130]) ).

thf(zip_derived_cl231_025,plain,
    ( ( j @ ( h @ e13 ) )
    = e13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1287,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e11 )
      = e21 )
    | ( ( j @ e20 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1258,zip_derived_cl231]) ).

thf(zip_derived_cl616_026,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl1304,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e11 )
      = e21 )
    | ( e10 = e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1287,zip_derived_cl616]) ).

thf(zip_derived_cl12_027,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1305,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e11 )
      = e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1304,zip_derived_cl12]) ).

thf(zip_derived_cl230_028,plain,
    ( ( j @ ( h @ e12 ) )
    = e12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1316,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( ( j @ e20 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1305,zip_derived_cl230]) ).

thf(zip_derived_cl616_029,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl1330,plain,
    ( ( ( h @ e11 )
      = e21 )
    | ( e10 = e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1316,zip_derived_cl616]) ).

thf(zip_derived_cl13_030,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1331,plain,
    ( ( h @ e11 )
    = e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1330,zip_derived_cl13]) ).

thf(zip_derived_cl1340,plain,
    ( ( h @ e14 )
    = ( op2 @ e21 @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl1331]) ).

thf(zip_derived_cl1391,plain,
    ( ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e14 )
      = ( op2 @ e21 @ e24 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl808,zip_derived_cl1340]) ).

thf(zip_derived_cl127,plain,
    ( ( op2 @ e21 @ e24 )
    = e25 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1392,plain,
    ( ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e14 )
      = e25 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1391,zip_derived_cl127]) ).

thf(zip_derived_cl175,plain,
    ( ( h @ ( op1 @ e14 @ e11 ) )
    = ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl76,plain,
    ( ( op1 @ e14 @ e11 )
    = e12 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl259,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl76]) ).

thf(zip_derived_cl1331_031,plain,
    ( ( h @ e11 )
    = e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1330,zip_derived_cl13]) ).

thf(zip_derived_cl1348,plain,
    ( ( h @ e12 )
    = ( op2 @ ( h @ e14 ) @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1331]) ).

thf(zip_derived_cl1523,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = ( op2 @ e25 @ e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl1348]) ).

thf(zip_derived_cl106,plain,
    ( ( op2 @ e25 @ e21 )
    = e23 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1529,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1523,zip_derived_cl106]) ).

thf(zip_derived_cl1530,plain,
    ( ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1529]) ).

thf(zip_derived_cl163,plain,
    ( ( h @ ( op1 @ e12 @ e11 ) )
    = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ( ( op1 @ e12 @ e11 )
    = e14 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl247,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl88]) ).

thf(zip_derived_cl1331_032,plain,
    ( ( h @ e11 )
    = e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1330,zip_derived_cl13]) ).

thf(zip_derived_cl1344,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e12 ) @ e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl1331]) ).

thf(zip_derived_cl1541,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e14 )
      = ( op2 @ e23 @ e21 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl1344]) ).

thf(zip_derived_cl118,plain,
    ( ( op2 @ e23 @ e21 )
    = e25 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1550,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e14 )
      = e25 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1541,zip_derived_cl118]) ).

thf(zip_derived_cl1530_033,plain,
    ( ( ( h @ e12 )
      = e23 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1529]) ).

thf(zip_derived_cl1340_034,plain,
    ( ( h @ e14 )
    = ( op2 @ e21 @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl1331]) ).

thf(zip_derived_cl1540,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e14 )
      = ( op2 @ e21 @ e23 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1530,zip_derived_cl1340]) ).

thf(zip_derived_cl128,plain,
    ( ( op2 @ e21 @ e23 )
    = e22 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1549,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( ( h @ e14 )
      = e22 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1540,zip_derived_cl128]) ).

thf(zip_derived_cl1628,plain,
    ( ( ( h @ e12 )
      = e22 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 )
    | ( e25 = e22 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1550,zip_derived_cl1549]) ).

thf(zip_derived_cl1634,plain,
    ( ( e25 = e22 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1628]) ).

thf(zip_derived_cl18,plain,
    e22 != e25,
    inference(cnf,[status(esa)],[ax2]) ).

thf(zip_derived_cl1635,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1634,zip_derived_cl18]) ).

thf(zip_derived_cl248_035,plain,
    ( ( h @ e13 )
    = ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl87]) ).

thf(zip_derived_cl1637,plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e13 )
      = ( op2 @ e22 @ e22 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1635,zip_derived_cl248]) ).

thf(zip_derived_cl123_036,plain,
    ( ( op2 @ e22 @ e22 )
    = e20 ),
    inference(cnf,[status(esa)],[ax5]) ).

thf(zip_derived_cl1651,plain,
    ( ( ( h @ e12 )
      = e21 )
    | ( ( h @ e12 )
      = e20 )
    | ( ( h @ e13 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1637,zip_derived_cl123]) ).

thf(zip_derived_cl231_037,plain,
    ( ( j @ ( h @ e13 ) )
    = e13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1677,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( ( j @ e20 )
      = e13 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1651,zip_derived_cl231]) ).

thf(zip_derived_cl616_038,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl1692,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 )
    | ( e10 = e13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1677,zip_derived_cl616]) ).

thf(zip_derived_cl12_039,plain,
    e10 != e13,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1693,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( h @ e12 )
      = e21 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1692,zip_derived_cl12]) ).

thf(zip_derived_cl230_040,plain,
    ( ( j @ ( h @ e12 ) )
    = e12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1701,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( ( j @ e21 )
      = e12 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1693,zip_derived_cl230]) ).

thf(zip_derived_cl229,plain,
    ( ( j @ ( h @ e11 ) )
    = e11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1331_041,plain,
    ( ( h @ e11 )
    = e21 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1330,zip_derived_cl13]) ).

thf(zip_derived_cl1339,plain,
    ( ( j @ e21 )
    = e11 ),
    inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl1331]) ).

thf(zip_derived_cl1715,plain,
    ( ( ( h @ e12 )
      = e20 )
    | ( e11 = e12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1701,zip_derived_cl1339]) ).

thf(zip_derived_cl9,plain,
    e11 != e12,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1716,plain,
    ( ( h @ e12 )
    = e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1715,zip_derived_cl9]) ).

thf(zip_derived_cl616_042,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl613]) ).

thf(zip_derived_cl1723,plain,
    e10 = e12,
    inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl1716,zip_derived_cl616]) ).

thf(zip_derived_cl13_043,plain,
    e10 != e12,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1724,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1723,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG031+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.f3aTrXF8FG true
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 05:00:34 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.99  % Solved by fo/fo13.sh.
% 1.30/0.99  % done 428 iterations in 0.211s
% 1.30/0.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/0.99  % SZS output start Refutation
% See solution above
% 1.30/0.99  
% 1.30/0.99  
% 1.30/0.99  % Terminating...
% 1.85/1.05  % Runner terminated.
% 1.85/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------