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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG183+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2a7xd6pdcM true

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:28:09 PM UTC 2025

% Result   : Theorem 0.56s 0.89s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   83 (  34 unt;   0 typ;   0 def)
%            Number of atoms       :  498 ( 497 equ;   0 cnn)
%            Maximal formula atoms :  110 (   6 avg)
%            Number of connectives : 1644 (  18   ~; 220   |; 193   &;1211   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   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_cl130,plain,
    ( ( j @ ( op2 @ e20 @ e20 ) )
    = ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl170,plain,
    ( ( j @ e20 )
    = ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl94]) ).

thf(zip_derived_cl160,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl95_001,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

thf(zip_derived_cl69,plain,
    ( ( op1 @ e10 @ e10 )
    = e14 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl205,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl206,plain,
    ( ( ( h @ e14 )
      = ( op2 @ ( h @ e10 ) @ e24 ) )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl205]) ).

thf(zip_derived_cl465,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e24 @ e24 ) )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl206]) ).

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

thf(zip_derived_cl466,plain,
    ( ( ( h @ e14 )
      = e24 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 ) ),
    inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl70]) ).

thf(zip_derived_cl467,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e14 )
      = e24 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl466]) ).

thf(zip_derived_cl164,plain,
    ( ( j @ ( h @ e14 ) )
    = e14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    ( ( ( j @ e24 )
      = e14 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl164]) ).

thf(zip_derived_cl95_002,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e24 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl160_003,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl165,plain,
    ( ( ( j @ e24 )
      = e10 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl160]) ).

thf(zip_derived_cl692,plain,
    ( ( e14 = e10 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e23 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl569,zip_derived_cl165]) ).

thf(zip_derived_cl708,plain,
    ( ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( e14 = e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl692]) ).

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

thf(zip_derived_cl6,plain,
    e10 != e14,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl709,plain,
    ( ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl708,zip_derived_cl6]) ).

thf(zip_derived_cl709_004,plain,
    ( ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl708,zip_derived_cl6]) ).

thf(zip_derived_cl205_005,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl716,plain,
    ( ( ( h @ e14 )
      = ( op2 @ ( h @ e10 ) @ e23 ) )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl709,zip_derived_cl205]) ).

thf(zip_derived_cl1180,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e23 @ e23 ) )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl709,zip_derived_cl716]) ).

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

thf(zip_derived_cl1181,plain,
    ( ( ( h @ e14 )
      = e23 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1180,zip_derived_cl76]) ).

thf(zip_derived_cl1182,plain,
    ( ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e14 )
      = e23 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1181]) ).

thf(zip_derived_cl164_006,plain,
    ( ( j @ ( h @ e14 ) )
    = e14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1184,plain,
    ( ( ( j @ e23 )
      = e14 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1182,zip_derived_cl164]) ).

thf(zip_derived_cl709_007,plain,
    ( ( ( h @ e10 )
      = e23 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl708,zip_derived_cl6]) ).

thf(zip_derived_cl160_008,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl715,plain,
    ( ( ( j @ e23 )
      = e10 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl709,zip_derived_cl160]) ).

thf(zip_derived_cl1221,plain,
    ( ( e14 = e10 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1184,zip_derived_cl715]) ).

thf(zip_derived_cl1226,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 )
    | ( e14 = e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1221]) ).

thf(zip_derived_cl6_009,plain,
    e10 != e14,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1227,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1226,zip_derived_cl6]) ).

thf(zip_derived_cl1227_010,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1226,zip_derived_cl6]) ).

thf(zip_derived_cl205_011,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl1230,plain,
    ( ( ( h @ e14 )
      = ( op2 @ ( h @ e10 ) @ e22 ) )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1227,zip_derived_cl205]) ).

thf(zip_derived_cl1280,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e22 @ e22 ) )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1227,zip_derived_cl1230]) ).

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

thf(zip_derived_cl1281,plain,
    ( ( ( h @ e14 )
      = e22 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1280,zip_derived_cl82]) ).

thf(zip_derived_cl1282,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e14 )
      = e22 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1281]) ).

thf(zip_derived_cl164_012,plain,
    ( ( j @ ( h @ e14 ) )
    = e14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1284,plain,
    ( ( ( j @ e22 )
      = e14 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1282,zip_derived_cl164]) ).

thf(zip_derived_cl1227_013,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e22 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1226,zip_derived_cl6]) ).

thf(zip_derived_cl160_014,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1229,plain,
    ( ( ( j @ e22 )
      = e10 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1227,zip_derived_cl160]) ).

thf(zip_derived_cl1321,plain,
    ( ( e14 = e10 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e21 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1284,zip_derived_cl1229]) ).

thf(zip_derived_cl1326,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( e14 = e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1321]) ).

thf(zip_derived_cl6_015,plain,
    e10 != e14,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1327,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1326,zip_derived_cl6]) ).

thf(zip_derived_cl1327_016,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1326,zip_derived_cl6]) ).

thf(zip_derived_cl205_017,plain,
    ( ( h @ e14 )
    = ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl1329,plain,
    ( ( ( h @ e14 )
      = ( op2 @ ( h @ e10 ) @ e21 ) )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1327,zip_derived_cl205]) ).

thf(zip_derived_cl1371,plain,
    ( ( ( h @ e14 )
      = ( op2 @ e21 @ e21 ) )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1327,zip_derived_cl1329]) ).

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

thf(zip_derived_cl1372,plain,
    ( ( ( h @ e14 )
      = e21 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1371,zip_derived_cl88]) ).

thf(zip_derived_cl1373,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( ( h @ e14 )
      = e21 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1372]) ).

thf(zip_derived_cl164_018,plain,
    ( ( j @ ( h @ e14 ) )
    = e14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1375,plain,
    ( ( ( j @ e21 )
      = e14 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1373,zip_derived_cl164]) ).

thf(zip_derived_cl1327_019,plain,
    ( ( ( h @ e10 )
      = e21 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1326,zip_derived_cl6]) ).

thf(zip_derived_cl160_020,plain,
    ( ( j @ ( h @ e10 ) )
    = e10 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1328,plain,
    ( ( ( j @ e21 )
      = e10 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1327,zip_derived_cl160]) ).

thf(zip_derived_cl1411,plain,
    ( ( e14 = e10 )
    | ( ( h @ e10 )
      = e20 )
    | ( ( h @ e10 )
      = e20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1375,zip_derived_cl1328]) ).

thf(zip_derived_cl1416,plain,
    ( ( ( h @ e10 )
      = e20 )
    | ( e14 = e10 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1411]) ).

thf(zip_derived_cl6_021,plain,
    e10 != e14,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1417,plain,
    ( ( h @ e10 )
    = e20 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1416,zip_derived_cl6]) ).

thf(zip_derived_cl1420,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl1417]) ).

thf(zip_derived_cl1420_022,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl1417]) ).

thf(zip_derived_cl1420_023,plain,
    ( ( j @ e20 )
    = e10 ),
    inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl1417]) ).

thf(zip_derived_cl69_024,plain,
    ( ( op1 @ e10 @ e10 )
    = e14 ),
    inference(cnf,[status(esa)],[ax4]) ).

thf(zip_derived_cl1456,plain,
    e10 = e14,
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl1420,zip_derived_cl1420,zip_derived_cl1420,zip_derived_cl69]) ).

thf(zip_derived_cl6_025,plain,
    e10 != e14,
    inference(cnf,[status(esa)],[ax1]) ).

thf(zip_derived_cl1457,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1456,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG183+1 : TPTP v9.2.0. Released v2.7.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2a7xd6pdcM true
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 17:04:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % 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
% 0.13/0.35  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.89  % Solved by fo/fo3_bce.sh.
% 0.56/0.89  % BCE start: 165
% 0.56/0.89  % BCE eliminated: 0
% 0.56/0.89  % PE start: 165
% 0.56/0.89  logic: eq
% 0.56/0.89  % PE eliminated: 0
% 0.56/0.89  % done 348 iterations in 0.126s
% 0.56/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.89  % SZS output start Refutation
% See solution above
% 0.56/0.89  
% 0.56/0.89  
% 0.56/0.89  % Terminating...
% 0.59/0.96  % Runner terminated.
% 0.59/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------