TSTP Solution File: ALG048+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG048+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.JEkDKqkGZf true
% Computer : n002.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 17:10:15 EDT 2023
% Result : Theorem 82.95s 12.59s
% Output : Refutation 82.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 38
% Syntax : Number of formulae : 830 ( 597 unt; 19 typ; 0 def)
% Number of atoms : 2913 (2912 equ; 0 cnn)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 9440 ( 467 ~;1400 |; 702 &;6871 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e14_type,type,
e14: $i ).
thf(e21_type,type,
e21: $i ).
thf(e24_type,type,
e24: $i ).
thf(e13_type,type,
e13: $i ).
thf(unit1_type,type,
unit1: $i ).
thf(h5_type,type,
h5: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e20_type,type,
e20: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(e11_type,type,
e11: $i ).
thf(e10_type,type,
e10: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(h3_type,type,
h3: $i > $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(h1_type,type,
h1: $i > $i ).
thf(e23_type,type,
e23: $i ).
thf(e22_type,type,
e22: $i ).
thf(unit2_type,type,
unit2: $i ).
thf(co1,conjecture,
( ( ( ( ( h5 @ e14 )
= e24 )
| ( ( h5 @ e13 )
= e24 )
| ( ( h5 @ e12 )
= e24 )
| ( ( h5 @ e11 )
= e24 )
| ( ( h5 @ e10 )
= e24 ) )
& ( ( ( h5 @ e14 )
= e23 )
| ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e14 )
= e21 )
| ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e14 )
= e20 )
| ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e14 )
= e24 )
| ( ( h4 @ e13 )
= e24 )
| ( ( h4 @ e12 )
= e24 )
| ( ( h4 @ e11 )
= e24 )
| ( ( h4 @ e10 )
= e24 ) )
& ( ( ( h4 @ e14 )
= e23 )
| ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e14 )
= e22 )
| ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e14 )
= e21 )
| ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e14 )
= e20 )
| ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e14 )
= e24 )
| ( ( h3 @ e13 )
= e24 )
| ( ( h3 @ e12 )
= e24 )
| ( ( h3 @ e11 )
= e24 )
| ( ( h3 @ e10 )
= e24 ) )
& ( ( ( h3 @ e14 )
= e23 )
| ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e14 )
= e22 )
| ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e14 )
= e21 )
| ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e14 )
= e24 )
| ( ( h2 @ e13 )
= e24 )
| ( ( h2 @ e12 )
= e24 )
| ( ( h2 @ e11 )
= e24 )
| ( ( h2 @ e10 )
= e24 ) )
& ( ( ( h2 @ e14 )
= e23 )
| ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e14 )
= e22 )
| ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e14 )
= e21 )
| ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e14 )
= e20 )
| ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e14 )
= e24 )
| ( ( h1 @ e13 )
= e24 )
| ( ( h1 @ e12 )
= e24 )
| ( ( h1 @ e11 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) )
& ( ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e14 )
= e22 )
| ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e14 )
= e21 )
| ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e14 )
= e20 )
| ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h5 @ e14 )
= e24 )
| ( ( h5 @ e13 )
= e24 )
| ( ( h5 @ e12 )
= e24 )
| ( ( h5 @ e11 )
= e24 )
| ( ( h5 @ e10 )
= e24 ) )
& ( ( ( h5 @ e14 )
= e23 )
| ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e14 )
= e22 )
| ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e14 )
= e21 )
| ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e14 )
= e20 )
| ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h5 @ e14 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e14 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ e14 )
= e24 )
| ( ( h4 @ e13 )
= e24 )
| ( ( h4 @ e12 )
= e24 )
| ( ( h4 @ e11 )
= e24 )
| ( ( h4 @ e10 )
= e24 ) )
& ( ( ( h4 @ e14 )
= e23 )
| ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e14 )
= e22 )
| ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e14 )
= e21 )
| ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e14 )
= e20 )
| ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h4 @ e14 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e14 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e14 )
= e24 )
| ( ( h3 @ e13 )
= e24 )
| ( ( h3 @ e12 )
= e24 )
| ( ( h3 @ e11 )
= e24 )
| ( ( h3 @ e10 )
= e24 ) )
& ( ( ( h3 @ e14 )
= e23 )
| ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e14 )
= e22 )
| ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e14 )
= e21 )
| ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e14 )
= e20 )
| ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h3 @ e14 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e14 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e14 )
= e24 )
| ( ( h2 @ e13 )
= e24 )
| ( ( h2 @ e12 )
= e24 )
| ( ( h2 @ e11 )
= e24 )
| ( ( h2 @ e10 )
= e24 ) )
& ( ( ( h2 @ e14 )
= e23 )
| ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e14 )
= e22 )
| ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e14 )
= e21 )
| ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e14 )
= e20 )
| ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e14 )
= e24 )
| ( ( h1 @ e13 )
= e24 )
| ( ( h1 @ e12 )
= e24 )
| ( ( h1 @ e11 )
= e24 )
| ( ( h1 @ e10 )
= e24 ) )
& ( ( ( h1 @ e14 )
= e23 )
| ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e14 )
= e22 )
| ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e14 )
= e21 )
| ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e14 )
= e20 )
| ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h1 @ e14 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e14 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl4019,plain,
( ( ( h2 @ e14 )
!= e24 )
| ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e12 )
!= e22 )
| ( ( h2 @ e11 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e14 @ e14 ) )
!= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e14 ) ) )
| ( ( h2 @ ( op1 @ e14 @ e13 ) )
!= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e14 @ e12 ) )
!= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e14 @ e11 ) )
!= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e14 @ e10 ) )
!= ( op2 @ ( h2 @ e14 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e14 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e14 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e14 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e14 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e14 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e14 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e14 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e14 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
( ( ( h2 @ e14 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e13 )
= ( op2 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e12 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e11 )
= e21 ) ) ).
thf(zip_derived_cl440,plain,
( ( h2 @ e14 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax15,axiom,
( ( e24
= ( op2 @ e21 @ e21 ) )
& ( e23
= ( op2 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) )
& ( e22
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) )
& ( e20
= ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) ) ) ).
thf(zip_derived_cl431,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16136,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl441,plain,
( ( h2 @ e13 )
= ( op2 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl431_001,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_002,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl433,plain,
( e22
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_003,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_004,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl431_005,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_006,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099_007,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl432,plain,
( e23
= ( op2 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_008,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_009,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099_010,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl431_011,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_012,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099_013,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl20229,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20281,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl442,plain,
( ( h2 @ e12 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl431_014,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_015,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099_016,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17269,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl444,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax2,axiom,
( ( ( unit1 = e14 )
| ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e11 )
| ( unit1 = e10 ) )
& ( ( op1 @ e14 @ unit1 )
= e14 )
& ( ( op1 @ unit1 @ e14 )
= e14 )
& ( ( op1 @ e13 @ unit1 )
= e13 )
& ( ( op1 @ unit1 @ e13 )
= e13 )
& ( ( op1 @ e12 @ unit1 )
= e12 )
& ( ( op1 @ unit1 @ e12 )
= e12 )
& ( ( op1 @ e11 @ unit1 )
= e11 )
& ( ( op1 @ unit1 @ e11 )
= e11 )
& ( ( op1 @ e10 @ unit1 )
= e10 )
& ( ( op1 @ unit1 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl25,plain,
( ( unit1 = e14 )
| ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e11 )
| ( unit1 = e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(ax7,axiom,
( ( ( op1 @ e14 @ e13 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e14 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e13 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e12 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e12 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e11 @ e14 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e14 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e13 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e12 @ e14 ) )
& ( ( op1 @ e10 @ e14 )
!= ( op1 @ e11 @ e14 ) )
& ( ( op1 @ e13 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e14 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e14 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e14 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e14 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl205,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(ax14,axiom,
( ( e14
= ( op1 @ e11 @ e11 ) )
& ( e13
= ( op1 @ ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) @ ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) ) )
& ( e12
= ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) )
& ( e10
= ( op1 @ e11 @ ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) ) ) ) ).
thf(zip_derived_cl427,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16410,plain,
( e14
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl427]) ).
thf(zip_derived_cl16413,plain,
( ( e14
!= ( op1 @ unit1 @ e14 ) )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( unit1 = e13 )
| ( unit1 = e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl16410]) ).
thf(zip_derived_cl27,plain,
( ( op1 @ unit1 @ e14 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16416,plain,
( ( e14 != e14 )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( unit1 = e13 )
| ( unit1 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl16413,zip_derived_cl27]) ).
thf(zip_derived_cl16417,plain,
( ( unit1 = e14 )
| ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16416]) ).
thf(zip_derived_cl173,plain,
( ( op1 @ e14 @ e12 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl429,plain,
( e12
= ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_017,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_018,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16776,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl16778,plain,
( ( op1 @ e14 @ e12 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl16776]) ).
thf(zip_derived_cl16809,plain,
( ( ( op1 @ unit1 @ e12 )
!= e12 )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( unit1 = e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16417,zip_derived_cl16778]) ).
thf(zip_derived_cl31,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16811,plain,
( ( e12 != e12 )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( unit1 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl16809,zip_derived_cl31]) ).
thf(zip_derived_cl16812,plain,
( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16811]) ).
thf(ax12,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl421,plain,
( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl16776_019,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl19749,plain,
( ( e12 = e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl16776]) ).
thf(zip_derived_cl247,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl430,plain,
( e10
= ( op1 @ e11 @ ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_020,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_021,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16776_022,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl17692,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl17698,plain,
( e10
!= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl17692]) ).
thf(ax9,axiom,
( ( e13 != e14 )
& ( e12 != e14 )
& ( e12 != e13 )
& ( e11 != e14 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e14 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl380,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19750,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19749,zip_derived_cl17698,zip_derived_cl380]) ).
thf(zip_derived_cl427_023,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl19752,plain,
( ( e14 = e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19750,zip_derived_cl427]) ).
thf(zip_derived_cl378,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19755,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19752,zip_derived_cl378]) ).
thf(zip_derived_cl19779,plain,
( ( ( op1 @ e13 @ unit1 )
= e10 )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16812,zip_derived_cl19755]) ).
thf(zip_derived_cl28,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19781,plain,
( ( e13 = e10 )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl19779,zip_derived_cl28]) ).
thf(zip_derived_cl379,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19782,plain,
( ( unit1 = e10 )
| ( unit1 = e12 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19781,zip_derived_cl379]) ).
thf(zip_derived_cl16812_024,plain,
( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl16811]) ).
thf(zip_derived_cl219,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16863,plain,
( ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ unit1 ) )
| ( unit1 = e10 )
| ( unit1 = e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16812,zip_derived_cl219]) ).
thf(zip_derived_cl34,plain,
( ( op1 @ e10 @ unit1 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16922,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ( unit1 = e10 )
| ( unit1 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl16863,zip_derived_cl34]) ).
thf(zip_derived_cl19788,plain,
( ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(clc,[status(thm)],[zip_derived_cl19782,zip_derived_cl16922]) ).
thf(zip_derived_cl251,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17692_025,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl17699,plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl17692]) ).
thf(zip_derived_cl19855,plain,
( ( ( op1 @ e10 @ unit1 )
!= e10 )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19788,zip_derived_cl17699]) ).
thf(zip_derived_cl34_026,plain,
( ( op1 @ e10 @ unit1 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19931,plain,
( ( e10 != e10 )
| ( unit1 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl19855,zip_derived_cl34]) ).
thf(zip_derived_cl19932,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl443,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl431_027,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_028,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099_029,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl434,plain,
( e20
= ( op2 @ e21 @ ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_030,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl431_031,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17099_032,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17754,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17858,plain,
( ( h2 @ e10 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl443,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl17754]) ).
thf(zip_derived_cl19932_033,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20115,plain,
( ( h2 @ unit1 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl17858,zip_derived_cl19932]) ).
thf(ax13,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl426,plain,
( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl17099_034,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl20207,plain,
( ( e22 = e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl17099]) ).
thf(ax8,axiom,
( ( ( op2 @ e24 @ e23 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e21 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e24 @ e20 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e24 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e23 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e22 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e22 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e21 @ e24 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e24 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e23 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e22 @ e24 ) )
& ( ( op2 @ e20 @ e24 )
!= ( op2 @ e21 @ e24 ) )
& ( ( op2 @ e23 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e24 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e24 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e24 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e24 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl347,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17754_035,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17760,plain,
( e20
!= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl347,zip_derived_cl17754]) ).
thf(ax10,axiom,
( ( e23 != e24 )
& ( e22 != e24 )
& ( e22 != e23 )
& ( e21 != e24 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e24 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl390,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20208,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20207,zip_derived_cl17760,zip_derived_cl390]) ).
thf(ax18,axiom,
( ( ( h3 @ e14 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e13 )
= ( op2 @ ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e10 )
= ( op2 @ e22 @ ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) )
& ( ( h3 @ e11 )
= e22 ) ) ).
thf(zip_derived_cl447,plain,
( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl20229_036,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20229_037,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20240,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20314,plain,
( ( ( h3 @ e12 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl20208,zip_derived_cl20240]) ).
thf(zip_derived_cl431_038,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl20377,plain,
( ( e24 = e20 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( h3 @ e12 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20314,zip_derived_cl431]) ).
thf(zip_derived_cl388,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20381,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( ( h3 @ e12 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20377,zip_derived_cl388]) ).
thf(ax5,axiom,
( ( ( unit2 = e24 )
| ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e21 )
| ( unit2 = e20 ) )
& ( ( op2 @ e24 @ unit2 )
= e24 )
& ( ( op2 @ unit2 @ e24 )
= e24 )
& ( ( op2 @ e23 @ unit2 )
= e23 )
& ( ( op2 @ unit2 @ e23 )
= e23 )
& ( ( op2 @ e22 @ unit2 )
= e22 )
& ( ( op2 @ unit2 @ e22 )
= e22 )
& ( ( op2 @ e21 @ unit2 )
= e21 )
& ( ( op2 @ unit2 @ e21 )
= e21 )
& ( ( op2 @ e20 @ unit2 )
= e20 )
& ( ( op2 @ unit2 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl111,plain,
( ( unit2 = e24 )
| ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e21 )
| ( unit2 = e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl431_039,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl16195,plain,
( ( e24
= ( op2 @ e21 @ unit2 ) )
| ( unit2 = e20 )
| ( unit2 = e22 )
| ( unit2 = e23 )
| ( unit2 = e24 ) ),
inference('sup+',[status(thm)],[zip_derived_cl111,zip_derived_cl431]) ).
thf(zip_derived_cl118,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17136,plain,
( ( e24 = e21 )
| ( unit2 = e24 )
| ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16195,zip_derived_cl118]) ).
thf(zip_derived_cl385,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl17139,plain,
( ( unit2 = e24 )
| ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17136,zip_derived_cl385]) ).
thf(zip_derived_cl273,plain,
( ( op2 @ e24 @ e22 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17099_040,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17133,plain,
( ( op2 @ e24 @ e22 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl17099]) ).
thf(zip_derived_cl17150,plain,
( ( ( op2 @ unit2 @ e22 )
!= e22 )
| ( unit2 = e20 )
| ( unit2 = e22 )
| ( unit2 = e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17139,zip_derived_cl17133]) ).
thf(zip_derived_cl117,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17153,plain,
( ( e22 != e22 )
| ( unit2 = e20 )
| ( unit2 = e22 )
| ( unit2 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl17150,zip_derived_cl117]) ).
thf(zip_derived_cl17154,plain,
( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17153]) ).
thf(zip_derived_cl20240_041,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20316,plain,
( ( ( h3 @ e12 )
= ( op2 @ e23 @ unit2 ) )
| ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17154,zip_derived_cl20240]) ).
thf(zip_derived_cl114,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl20318,plain,
( ( ( h3 @ e12 )
= e23 )
| ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl20316,zip_derived_cl114]) ).
thf(zip_derived_cl20697,plain,
( ( e20 = e23 )
| ( ( op2 @ e20 @ e20 )
= e20 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20381,zip_derived_cl20318]) ).
thf(zip_derived_cl389,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20701,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20697,zip_derived_cl389]) ).
thf(zip_derived_cl17154_042,plain,
( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17153]) ).
thf(zip_derived_cl319,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17413,plain,
( ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ unit2 ) )
| ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17154,zip_derived_cl319]) ).
thf(zip_derived_cl120,plain,
( ( op2 @ e20 @ unit2 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl17414,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl17413,zip_derived_cl120]) ).
thf(zip_derived_cl20981,plain,
( ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference(clc,[status(thm)],[zip_derived_cl20701,zip_derived_cl17414]) ).
thf(zip_derived_cl351,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17754_043,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17761,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl17754]) ).
thf(zip_derived_cl21009,plain,
( ( ( op2 @ e20 @ unit2 )
!= e20 )
| ( unit2 = e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20981,zip_derived_cl17761]) ).
thf(zip_derived_cl120_044,plain,
( ( op2 @ e20 @ unit2 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21069,plain,
( ( e20 != e20 )
| ( unit2 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl21009,zip_derived_cl120]) ).
thf(zip_derived_cl21070,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21287,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl21070_045,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl16776_046,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl17269_047,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl16136_048,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl16136_049,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl17099_050,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(ax3,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) )
& ( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) )
& ( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) )
& ( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 ) )
& ( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e14 ) )
& ( ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e14 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl45,plain,
( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16776_051,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl17713,plain,
( ( e12 = e10 )
| ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl16776]) ).
thf(zip_derived_cl380_052,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17714,plain,
( ( ( op1 @ e14 @ e13 )
= e10 )
| ( ( op1 @ e14 @ e12 )
= e10 )
| ( ( op1 @ e14 @ e11 )
= e10 )
| ( ( op1 @ e14 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17713,zip_derived_cl380]) ).
thf(zip_derived_cl19932_053,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_054,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_055,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_056,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl26,plain,
( ( op1 @ e14 @ unit1 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19932_057,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20107,plain,
( ( ( op1 @ e14 @ e13 )
= unit1 )
| ( ( op1 @ e14 @ e12 )
= unit1 )
| ( ( op1 @ e14 @ e11 )
= unit1 )
| ( e14 = unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl17714,zip_derived_cl19932,zip_derived_cl19932,zip_derived_cl19932,zip_derived_cl19932,zip_derived_cl26,zip_derived_cl19932]) ).
thf(zip_derived_cl62,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17692_058,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl18139,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( e10 = e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl17692]) ).
thf(zip_derived_cl381,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl18140,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18139,zip_derived_cl381]) ).
thf(zip_derived_cl19932_059,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl31_060,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20145,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl18140,zip_derived_cl19932,zip_derived_cl31]) ).
thf(zip_derived_cl377,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20146,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20145,zip_derived_cl377]) ).
thf(zip_derived_cl56,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17692_061,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl18042,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( e10 = e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl17692]) ).
thf(zip_derived_cl378_062,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl18043,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18042,zip_derived_cl378]) ).
thf(zip_derived_cl19932_063,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl31_064,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20136,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 )
| ( e12 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl18043,zip_derived_cl19932,zip_derived_cl31]) ).
thf(zip_derived_cl373,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20137,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20136,zip_derived_cl373]) ).
thf(zip_derived_cl428,plain,
( e13
= ( op1 @ ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) @ ( op1 @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e11 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_065,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_066,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16776_067,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl427_068,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl427_069,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16776_070,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl20219,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl22599,plain,
( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e14 )
| ( e13 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl20137,zip_derived_cl20219]) ).
thf(zip_derived_cl372,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl180,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl19932_071,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl26_072,plain,
( ( op1 @ e14 @ unit1 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20000,plain,
( e14
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl19932,zip_derived_cl26]) ).
thf(zip_derived_cl22600,plain,
( ( op1 @ e13 @ e12 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22599,zip_derived_cl372,zip_derived_cl20000]) ).
thf(zip_derived_cl20219_073,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl22653,plain,
( ( ( op1 @ e14 @ e12 )
= e11 )
| ( e14 = e11 )
| ( e13 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl20146,zip_derived_cl22600,zip_derived_cl20219]) ).
thf(zip_derived_cl376,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl375,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl22654,plain,
( ( op1 @ e14 @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22653,zip_derived_cl376,zip_derived_cl375]) ).
thf(zip_derived_cl23117,plain,
( ( ( op1 @ e14 @ e13 )
= unit1 )
| ( e11 = unit1 )
| ( ( op1 @ e14 @ e11 )
= unit1 )
| ( e14 = unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20107,zip_derived_cl22654]) ).
thf(zip_derived_cl378_074,plain,
e10 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19932_075,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20045,plain,
unit1 != e14,
inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl19932]) ).
thf(zip_derived_cl381_076,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19932_077,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20048,plain,
unit1 != e11,
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl19932]) ).
thf(zip_derived_cl23118,plain,
( ( ( op1 @ e14 @ e13 )
= unit1 )
| ( ( op1 @ e14 @ e11 )
= unit1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23117,zip_derived_cl20045,zip_derived_cl20048]) ).
thf(zip_derived_cl39,plain,
( ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16776_078,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl17472,plain,
( ( e12 = e13 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl16776]) ).
thf(zip_derived_cl374,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17473,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17472,zip_derived_cl374]) ).
thf(zip_derived_cl19932_079,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl26_080,plain,
( ( op1 @ e14 @ unit1 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20092,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( e14 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17473,zip_derived_cl19932,zip_derived_cl26]) ).
thf(zip_derived_cl372_081,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20093,plain,
( ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20092,zip_derived_cl372]) ).
thf(zip_derived_cl243,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e14 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl20219_082,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl20223,plain,
( e13
!= ( op1 @ e14 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl20219]) ).
thf(zip_derived_cl238,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl19932_083,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl29,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20025,plain,
( e13
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl19932,zip_derived_cl29]) ).
thf(zip_derived_cl22463,plain,
( ( op1 @ e14 @ e11 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20093,zip_derived_cl20223,zip_derived_cl20025]) ).
thf(zip_derived_cl23119,plain,
( ( unit1 = e13 )
| ( ( op1 @ e14 @ e13 )
= unit1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl23118,zip_derived_cl22463]) ).
thf(zip_derived_cl379_084,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19932_085,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20046,plain,
unit1 != e13,
inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl19932]) ).
thf(zip_derived_cl23120,plain,
( ( op1 @ e14 @ e13 )
= unit1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23119,zip_derived_cl20046]) ).
thf(zip_derived_cl21287_086,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl16136_087,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl20281_088,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(ax20,axiom,
( ( ( h5 @ e14 )
= ( op2 @ e24 @ e24 ) )
& ( ( h5 @ e13 )
= ( op2 @ ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) ) @ ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) ) ) )
& ( ( h5 @ e12 )
= ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) ) )
& ( ( h5 @ e10 )
= ( op2 @ e24 @ ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) ) ) )
& ( ( h5 @ e11 )
= e24 ) ) ).
thf(zip_derived_cl458,plain,
( ( h5 @ e10 )
= ( op2 @ e24 @ ( op2 @ ( op2 @ e24 @ e24 ) @ ( op2 @ e24 @ e24 ) ) ) ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl17099_089,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17099_090,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17864,plain,
( ( h5 @ e10 )
= ( op2 @ e24 @ ( op2 @ e22 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl17099,zip_derived_cl17099]) ).
thf(zip_derived_cl19932_091,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20121,plain,
( ( h5 @ unit1 )
= ( op2 @ e24 @ ( op2 @ e22 @ e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17864,zip_derived_cl19932]) ).
thf(zip_derived_cl20229_092,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl21889,plain,
( ( h5 @ unit1 )
= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl20121,zip_derived_cl20229]) ).
thf(ax6,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) )
& ( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 ) )
& ( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 ) )
& ( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 ) )
& ( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e24 ) )
& ( ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e24 @ e20 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl131,plain,
( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17099_093,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl18973,plain,
( ( e22 = e20 )
| ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e24 @ e22 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl17099]) ).
thf(zip_derived_cl345,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17754_094,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17758,plain,
( e20
!= ( op2 @ e24 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl17754]) ).
thf(zip_derived_cl390_095,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18974,plain,
( ( ( op2 @ e24 @ e23 )
= e20 )
| ( ( op2 @ e24 @ e21 )
= e20 )
| ( ( op2 @ e24 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18973,zip_derived_cl17758,zip_derived_cl390]) ).
thf(zip_derived_cl21070_096,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21070_097,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21070_098,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl112,plain,
( ( op2 @ e24 @ unit2 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21070_099,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21261,plain,
( ( ( op2 @ e24 @ e23 )
= unit2 )
| ( ( op2 @ e24 @ e21 )
= unit2 )
| ( e24 = unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl18974,zip_derived_cl21070,zip_derived_cl21070,zip_derived_cl21070,zip_derived_cl112,zip_derived_cl21070]) ).
thf(zip_derived_cl21889_100,plain,
( ( h5 @ unit1 )
= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl20121,zip_derived_cl20229]) ).
thf(zip_derived_cl22153,plain,
( ( ( h5 @ unit1 )
= unit2 )
| ( ( op2 @ e24 @ e21 )
= unit2 )
| ( e24 = unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl21261,zip_derived_cl21889]) ).
thf(zip_derived_cl388_101,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21070_102,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21182,plain,
unit2 != e24,
inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl21070]) ).
thf(zip_derived_cl22154,plain,
( ( ( h5 @ unit1 )
= unit2 )
| ( ( op2 @ e24 @ e21 )
= unit2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22153,zip_derived_cl21182]) ).
thf(zip_derived_cl125,plain,
( ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17099_103,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl18897,plain,
( ( e22 = e23 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl17099]) ).
thf(zip_derived_cl384,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18898,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18897,zip_derived_cl384]) ).
thf(zip_derived_cl21070_104,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl112_105,plain,
( ( op2 @ e24 @ unit2 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21254,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( e24 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18898,zip_derived_cl21070,zip_derived_cl112]) ).
thf(zip_derived_cl382,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl343,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e24 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20229_106,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20236,plain,
( e23
!= ( op2 @ e24 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl20229]) ).
thf(zip_derived_cl21255,plain,
( ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21254,zip_derived_cl382,zip_derived_cl20236]) ).
thf(zip_derived_cl338,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e24 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21070_107,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl115,plain,
( ( op2 @ unit2 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21164,plain,
( e23
!= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl21070,zip_derived_cl115]) ).
thf(zip_derived_cl21738,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21255,zip_derived_cl21164]) ).
thf(zip_derived_cl22155,plain,
( ( unit2 = e23 )
| ( ( h5 @ unit1 )
= unit2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22154,zip_derived_cl21738]) ).
thf(zip_derived_cl389_108,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21070_109,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21183,plain,
unit2 != e23,
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl21070]) ).
thf(zip_derived_cl22156,plain,
( ( h5 @ unit1 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22155,zip_derived_cl21183]) ).
thf(zip_derived_cl22157,plain,
( unit2
= ( op2 @ e24 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl21889,zip_derived_cl22156]) ).
thf(zip_derived_cl22654_110,plain,
( ( op1 @ e14 @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22653,zip_derived_cl376,zip_derived_cl375]) ).
thf(zip_derived_cl444_111,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl16136_112,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl17269_113,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl148,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17754_114,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl19318,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( e20 = e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl17754]) ).
thf(zip_derived_cl391,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19319,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19318,zip_derived_cl391]) ).
thf(zip_derived_cl20229_115,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20253,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( e23 = e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl19319,zip_derived_cl20229]) ).
thf(zip_derived_cl386,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20254,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20253,zip_derived_cl386]) ).
thf(zip_derived_cl21070_116,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl117_117,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21299,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( e22 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20254,zip_derived_cl21070,zip_derived_cl117]) ).
thf(zip_derived_cl387,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21300,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21299,zip_derived_cl387]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e24 @ e24 )
= e24 )
| ( ( op2 @ e24 @ e24 )
= e23 )
| ( ( op2 @ e24 @ e24 )
= e22 )
| ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e24 @ e24 )
= e20 ) )
& ( ( ( op2 @ e24 @ e23 )
= e24 )
| ( ( op2 @ e24 @ e23 )
= e23 )
| ( ( op2 @ e24 @ e23 )
= e22 )
| ( ( op2 @ e24 @ e23 )
= e21 )
| ( ( op2 @ e24 @ e23 )
= e20 ) )
& ( ( ( op2 @ e24 @ e22 )
= e24 )
| ( ( op2 @ e24 @ e22 )
= e23 )
| ( ( op2 @ e24 @ e22 )
= e22 )
| ( ( op2 @ e24 @ e22 )
= e21 )
| ( ( op2 @ e24 @ e22 )
= e20 ) )
& ( ( ( op2 @ e24 @ e21 )
= e24 )
| ( ( op2 @ e24 @ e21 )
= e23 )
| ( ( op2 @ e24 @ e21 )
= e22 )
| ( ( op2 @ e24 @ e21 )
= e21 )
| ( ( op2 @ e24 @ e21 )
= e20 ) )
& ( ( ( op2 @ e24 @ e20 )
= e24 )
| ( ( op2 @ e24 @ e20 )
= e23 )
| ( ( op2 @ e24 @ e20 )
= e22 )
| ( ( op2 @ e24 @ e20 )
= e21 )
| ( ( op2 @ e24 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e24 )
= e24 )
| ( ( op2 @ e23 @ e24 )
= e23 )
| ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e24 )
| ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e24 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e24 )
| ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e24 )
= e23 )
| ( ( op2 @ e22 @ e24 )
= e22 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e24 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e24 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e24 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e24 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e24 )
= e24 )
| ( ( op2 @ e20 @ e24 )
= e23 )
| ( ( op2 @ e20 @ e24 )
= e22 )
| ( ( op2 @ e20 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e24 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e24 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e24 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e24 )
| ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl93,plain,
( ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl346,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17754_118,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17759,plain,
( e20
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl17754]) ).
thf(zip_derived_cl18604,plain,
( ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl93,zip_derived_cl17759]) ).
thf(zip_derived_cl284,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20240_119,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20290,plain,
( ( op2 @ e23 @ e22 )
!= ( h3 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl20240]) ).
thf(zip_derived_cl425,plain,
( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl17099_120,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl431_121,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl20181,plain,
( ( e22 = e21 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( e24 = e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl17099,zip_derived_cl431]) ).
thf(zip_derived_cl385_122,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl387_123,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20182,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20181,zip_derived_cl385,zip_derived_cl387]) ).
thf(zip_derived_cl20229_124,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20255,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( e23 = e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20182,zip_derived_cl20229]) ).
thf(zip_derived_cl386_125,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20256,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20255,zip_derived_cl386]) ).
thf(zip_derived_cl20240_126,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20360,plain,
( ( ( h3 @ e12 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20256,zip_derived_cl20240]) ).
thf(zip_derived_cl21070_127,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21070_128,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21324,plain,
( ( ( h3 @ e12 )
= e21 )
| ( ( op2 @ unit2 @ unit2 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20360,zip_derived_cl21070,zip_derived_cl21070]) ).
thf(zip_derived_cl120_129,plain,
( ( op2 @ e20 @ unit2 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21070_130,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21070_131,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21127,plain,
( ( op2 @ unit2 @ unit2 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl21070,zip_derived_cl21070]) ).
thf(zip_derived_cl21594,plain,
( ( ( h3 @ e12 )
= e21 )
| ( unit2 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl21324,zip_derived_cl21127]) ).
thf(zip_derived_cl391_132,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21070_133,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21185,plain,
unit2 != e21,
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl21070]) ).
thf(zip_derived_cl21595,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl21599,plain,
( ( op2 @ e23 @ e22 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl20290,zip_derived_cl21595]) ).
thf(zip_derived_cl21613,plain,
( ( e21 != e21 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18604,zip_derived_cl21599]) ).
thf(zip_derived_cl21614,plain,
( ( ( op2 @ e23 @ e22 )
= e24 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21613]) ).
thf(zip_derived_cl349,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21070_134,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl117_135,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21168,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl21070,zip_derived_cl117]) ).
thf(zip_derived_cl344,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20229_136,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20237,plain,
( e23
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl344,zip_derived_cl20229]) ).
thf(zip_derived_cl21615,plain,
( ( op2 @ e23 @ e22 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21614,zip_derived_cl21168,zip_derived_cl20237]) ).
thf(zip_derived_cl21791,plain,
( ( ( op2 @ e24 @ e22 )
= e21 )
| ( e24 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl21300,zip_derived_cl21615]) ).
thf(zip_derived_cl385_137,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21792,plain,
( ( op2 @ e24 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21791,zip_derived_cl385]) ).
thf(zip_derived_cl22463_138,plain,
( ( op1 @ e14 @ e11 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20093,zip_derived_cl20223,zip_derived_cl20025]) ).
thf(zip_derived_cl20281_139,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl16136_140,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl444_141,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl21738_142,plain,
( ( op2 @ e24 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21255,zip_derived_cl21164]) ).
thf(zip_derived_cl19932_143,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl26_144,plain,
( ( op1 @ e14 @ unit1 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16136_145,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl16136_146,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl19932_147,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_148,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl112_149,plain,
( ( op2 @ e24 @ unit2 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl44,plain,
( ( ( op1 @ e14 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16776_150,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl17661,plain,
( ( e12 = e10 )
| ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl16776]) ).
thf(zip_derived_cl380_151,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17662,plain,
( ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17661,zip_derived_cl380]) ).
thf(zip_derived_cl203,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17692_152,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl17693,plain,
( e10
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl17692]) ).
thf(zip_derived_cl17709,plain,
( ( e10 != e10 )
| ( ( op1 @ e10 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e13 @ e14 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17662,zip_derived_cl17693]) ).
thf(zip_derived_cl17712,plain,
( ( ( op1 @ e13 @ e14 )
= e10 )
| ( ( op1 @ e12 @ e14 )
= e10 )
| ( ( op1 @ e10 @ e14 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl17709]) ).
thf(zip_derived_cl19932_153,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_154,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_155,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl27_156,plain,
( ( op1 @ unit1 @ e14 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19932_157,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20106,plain,
( ( ( op1 @ e13 @ e14 )
= unit1 )
| ( ( op1 @ e12 @ e14 )
= unit1 )
| ( e14 = unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl17712,zip_derived_cl19932,zip_derived_cl19932,zip_derived_cl19932,zip_derived_cl27,zip_derived_cl19932]) ).
thf(zip_derived_cl20045_158,plain,
unit1 != e14,
inference(demod,[status(thm)],[zip_derived_cl378,zip_derived_cl19932]) ).
thf(zip_derived_cl21999,plain,
( ( ( op1 @ e13 @ e14 )
= unit1 )
| ( ( op1 @ e12 @ e14 )
= unit1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20106,zip_derived_cl20045]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e11 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl16776_159,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl17589,plain,
( ( e12 = e11 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl16776]) ).
thf(zip_derived_cl377_160,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl17590,plain,
( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17589,zip_derived_cl377]) ).
thf(zip_derived_cl19932_161,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl27_162,plain,
( ( op1 @ unit1 @ e14 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20094,plain,
( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( e14 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl17590,zip_derived_cl19932,zip_derived_cl27]) ).
thf(zip_derived_cl375_163,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20095,plain,
( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20094,zip_derived_cl375]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e14 @ e14 )
= e14 )
| ( ( op1 @ e14 @ e14 )
= e13 )
| ( ( op1 @ e14 @ e14 )
= e12 )
| ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e14 @ e14 )
= e10 ) )
& ( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e14 @ e13 )
= e13 )
| ( ( op1 @ e14 @ e13 )
= e12 )
| ( ( op1 @ e14 @ e13 )
= e11 )
| ( ( op1 @ e14 @ e13 )
= e10 ) )
& ( ( ( op1 @ e14 @ e12 )
= e14 )
| ( ( op1 @ e14 @ e12 )
= e13 )
| ( ( op1 @ e14 @ e12 )
= e12 )
| ( ( op1 @ e14 @ e12 )
= e11 )
| ( ( op1 @ e14 @ e12 )
= e10 ) )
& ( ( ( op1 @ e14 @ e11 )
= e14 )
| ( ( op1 @ e14 @ e11 )
= e13 )
| ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e14 @ e11 )
= e11 )
| ( ( op1 @ e14 @ e11 )
= e10 ) )
& ( ( ( op1 @ e14 @ e10 )
= e14 )
| ( ( op1 @ e14 @ e10 )
= e13 )
| ( ( op1 @ e14 @ e10 )
= e12 )
| ( ( op1 @ e14 @ e10 )
= e11 )
| ( ( op1 @ e14 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e14 )
= e14 )
| ( ( op1 @ e13 @ e14 )
= e13 )
| ( ( op1 @ e13 @ e14 )
= e12 )
| ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e14 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e14 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e14 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e14 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e14 )
= e14 )
| ( ( op1 @ e12 @ e14 )
= e13 )
| ( ( op1 @ e12 @ e14 )
= e12 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e14 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e14 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e14 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e14 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e14 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e14 )
= e14 )
| ( ( op1 @ e10 @ e14 )
= e13 )
| ( ( op1 @ e10 @ e14 )
= e12 )
| ( ( op1 @ e10 @ e14 )
= e11 )
| ( ( op1 @ e10 @ e14 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e14 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e14 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e14 )
| ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl15,plain,
( ( ( op1 @ e11 @ e14 )
= e14 )
| ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl225,plain,
( ( op1 @ e11 @ e14 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16776_164,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl16783,plain,
( ( op1 @ e11 @ e14 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl16776]) ).
thf(zip_derived_cl16410_165,plain,
( e14
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl205,zip_derived_cl427]) ).
thf(zip_derived_cl16941,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15,zip_derived_cl16783,zip_derived_cl16410]) ).
thf(zip_derived_cl208,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16944,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( ( op1 @ e11 @ e14 )
= e10 )
| ( ( op1 @ e11 @ e14 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16941,zip_derived_cl208]) ).
thf(zip_derived_cl19932_166,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl32,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19932_167,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20067,plain,
( ( e11 != e11 )
| ( ( op1 @ e11 @ e14 )
= unit1 )
| ( ( op1 @ e11 @ e14 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl16944,zip_derived_cl19932,zip_derived_cl32,zip_derived_cl19932]) ).
thf(zip_derived_cl20068,plain,
( ( ( op1 @ e11 @ e14 )
= e13 )
| ( ( op1 @ e11 @ e14 )
= unit1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20067]) ).
thf(zip_derived_cl17693_168,plain,
( e10
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl17692]) ).
thf(zip_derived_cl19932_169,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20099,plain,
( unit1
!= ( op1 @ e11 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17693,zip_derived_cl19932]) ).
thf(zip_derived_cl20850,plain,
( ( op1 @ e11 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20068,zip_derived_cl20099]) ).
thf(zip_derived_cl22488,plain,
( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 )
| ( e13 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl20095,zip_derived_cl20850]) ).
thf(zip_derived_cl376_170,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl22489,plain,
( ( ( op1 @ e13 @ e14 )
= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22488,zip_derived_cl376]) ).
thf(zip_derived_cl182,plain,
( ( op1 @ e13 @ e13 )
!= ( op1 @ e13 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl22490,plain,
( ( ( op1 @ e13 @ e13 )
!= e11 )
| ( ( op1 @ e12 @ e14 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22489,zip_derived_cl182]) ).
thf(zip_derived_cl420,plain,
( ( ( op1 @ e14 @ e14 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl16776_171,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl427_172,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl19730,plain,
( ( e12 = e11 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( e14 = e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl16776,zip_derived_cl427]) ).
thf(zip_derived_cl375_173,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl377_174,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl19731,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19730,zip_derived_cl375,zip_derived_cl377]) ).
thf(zip_derived_cl19932_175,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_176,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20177,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ unit1 @ unit1 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl19731,zip_derived_cl19932,zip_derived_cl19932]) ).
thf(zip_derived_cl20219_177,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl34_178,plain,
( ( op1 @ e10 @ unit1 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19932_179,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_180,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19976,plain,
( ( op1 @ unit1 @ unit1 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl19932,zip_derived_cl19932]) ).
thf(zip_derived_cl22672,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( e13 = e11 )
| ( unit1 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl20177,zip_derived_cl20219,zip_derived_cl19976]) ).
thf(zip_derived_cl20048_181,plain,
unit1 != e11,
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl19932]) ).
thf(zip_derived_cl376_182,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl22673,plain,
( ( op1 @ e13 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22672,zip_derived_cl20048,zip_derived_cl376]) ).
thf(zip_derived_cl22679,plain,
( ( e11 != e11 )
| ( ( op1 @ e12 @ e14 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl22490,zip_derived_cl22673]) ).
thf(zip_derived_cl22680,plain,
( ( op1 @ e12 @ e14 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl22679]) ).
thf(zip_derived_cl22692,plain,
( ( ( op1 @ e13 @ e14 )
= unit1 )
| ( e11 = unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl21999,zip_derived_cl22680]) ).
thf(zip_derived_cl20048_183,plain,
unit1 != e11,
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl19932]) ).
thf(zip_derived_cl22693,plain,
( ( op1 @ e13 @ e14 )
= unit1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22692,zip_derived_cl20048]) ).
thf(zip_derived_cl21287_184,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl20281_185,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl16136_186,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl130,plain,
( ( ( op2 @ e24 @ e24 )
= e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17099_187,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl18939,plain,
( ( e22 = e20 )
| ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e21 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl17099]) ).
thf(zip_derived_cl303,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17754_188,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17755,plain,
( e20
!= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl17754]) ).
thf(zip_derived_cl390_189,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18940,plain,
( ( ( op2 @ e23 @ e24 )
= e20 )
| ( ( op2 @ e22 @ e24 )
= e20 )
| ( ( op2 @ e20 @ e24 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18939,zip_derived_cl17755,zip_derived_cl390]) ).
thf(zip_derived_cl21070_190,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21070_191,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21070_192,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl113,plain,
( ( op2 @ unit2 @ e24 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21070_193,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21260,plain,
( ( ( op2 @ e23 @ e24 )
= unit2 )
| ( ( op2 @ e22 @ e24 )
= unit2 )
| ( e24 = unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl18940,zip_derived_cl21070,zip_derived_cl21070,zip_derived_cl21070,zip_derived_cl113,zip_derived_cl21070]) ).
thf(zip_derived_cl21182_194,plain,
unit2 != e24,
inference(demod,[status(thm)],[zip_derived_cl388,zip_derived_cl21070]) ).
thf(zip_derived_cl22122,plain,
( ( ( op2 @ e23 @ e24 )
= unit2 )
| ( ( op2 @ e22 @ e24 )
= unit2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21260,zip_derived_cl21182]) ).
thf(zip_derived_cl128,plain,
( ( ( op2 @ e24 @ e24 )
= e21 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17099_195,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl18913,plain,
( ( e22 = e21 )
| ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl17099]) ).
thf(zip_derived_cl387_196,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl18914,plain,
( ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e20 @ e24 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18913,zip_derived_cl387]) ).
thf(zip_derived_cl21070_197,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl113_198,plain,
( ( op2 @ unit2 @ e24 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21256,plain,
( ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( e24 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl18914,zip_derived_cl21070,zip_derived_cl113]) ).
thf(zip_derived_cl385_199,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21257,plain,
( ( ( op2 @ e23 @ e24 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21256,zip_derived_cl385]) ).
thf(ax19,axiom,
( ( ( h4 @ e14 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e13 )
= ( op2 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e12 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e11 )
= e23 ) ) ).
thf(zip_derived_cl453,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl452,plain,
( ( h4 @ e12 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl17860,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ ( h4 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl452]) ).
thf(zip_derived_cl19932_200,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20117,plain,
( ( h4 @ unit1 )
= ( op2 @ e23 @ ( h4 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17860,zip_derived_cl19932]) ).
thf(zip_derived_cl452_201,plain,
( ( h4 @ e12 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl20240_202,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20240_203,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20298,plain,
( ( h4 @ e12 )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl20240,zip_derived_cl20240]) ).
thf(zip_derived_cl446,plain,
( ( h3 @ e13 )
= ( op2 @ ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl20229_204,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20229_205,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20240_206,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20229_207,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20229_208,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20240_209,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20337,plain,
( ( h3 @ e13 )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl20229,zip_derived_cl20229,zip_derived_cl20240,zip_derived_cl20229,zip_derived_cl20229,zip_derived_cl20240]) ).
thf(zip_derived_cl20367,plain,
( ( h4 @ e12 )
= ( h3 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl20298,zip_derived_cl20337]) ).
thf(zip_derived_cl20734,plain,
( ( h4 @ unit1 )
= ( op2 @ e23 @ ( h3 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20117,zip_derived_cl20367]) ).
thf(zip_derived_cl20337_210,plain,
( ( h3 @ e13 )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl20229,zip_derived_cl20229,zip_derived_cl20240,zip_derived_cl20229,zip_derived_cl20229,zip_derived_cl20240]) ).
thf(zip_derived_cl21595_211,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl21595_212,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl431_213,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl21604,plain,
( ( h3 @ e13 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl20337,zip_derived_cl21595,zip_derived_cl21595,zip_derived_cl431]) ).
thf(zip_derived_cl21610,plain,
( ( h4 @ unit1 )
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl20734,zip_derived_cl21604]) ).
thf(zip_derived_cl101,plain,
( ( ( op2 @ e21 @ e24 )
= e24 )
| ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e24 )
= e21 )
| ( ( op2 @ e21 @ e24 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl17755_214,plain,
( e20
!= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl17754]) ).
thf(zip_derived_cl325,plain,
( ( op2 @ e21 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17099_215,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17452,plain,
( ( op2 @ e21 @ e24 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl17099]) ).
thf(zip_derived_cl305,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl431_216,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17331,plain,
( e24
!= ( op2 @ e21 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl305,zip_derived_cl431]) ).
thf(zip_derived_cl18721,plain,
( ( ( op2 @ e21 @ e24 )
= e23 )
| ( ( op2 @ e21 @ e24 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl101,zip_derived_cl17755,zip_derived_cl17452,zip_derived_cl17331]) ).
thf(zip_derived_cl308,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl18723,plain,
( ( ( op2 @ e21 @ e20 )
!= e21 )
| ( ( op2 @ e21 @ e24 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18721,zip_derived_cl308]) ).
thf(zip_derived_cl21070_217,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl118_218,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21225,plain,
( ( e21 != e21 )
| ( ( op2 @ e21 @ e24 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl18723,zip_derived_cl21070,zip_derived_cl118]) ).
thf(zip_derived_cl21226,plain,
( ( op2 @ e21 @ e24 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl21225]) ).
thf(zip_derived_cl22749,plain,
( ( ( h4 @ unit1 )
= e21 )
| ( ( op2 @ e22 @ e24 )
= e21 )
| ( e23 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl21257,zip_derived_cl21610,zip_derived_cl21226]) ).
thf(zip_derived_cl386_219,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl282,plain,
( ( op2 @ e23 @ e23 )
!= ( op2 @ e23 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20240_220,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20289,plain,
( ( h3 @ e12 )
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl20240]) ).
thf(zip_derived_cl21595_221,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl21598,plain,
( e21
!= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl20289,zip_derived_cl21595]) ).
thf(zip_derived_cl21610_222,plain,
( ( h4 @ unit1 )
= ( op2 @ e23 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl20734,zip_derived_cl21604]) ).
thf(zip_derived_cl21662,plain,
( e21
!= ( h4 @ unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl21598,zip_derived_cl21610]) ).
thf(zip_derived_cl22750,plain,
( ( op2 @ e22 @ e24 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22749,zip_derived_cl386,zip_derived_cl21662]) ).
thf(zip_derived_cl22756,plain,
( ( ( op2 @ e23 @ e24 )
= unit2 )
| ( e21 = unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl22122,zip_derived_cl22750]) ).
thf(zip_derived_cl21185_223,plain,
unit2 != e21,
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl21070]) ).
thf(zip_derived_cl22757,plain,
( ( op2 @ e23 @ e24 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22756,zip_derived_cl21185]) ).
thf(zip_derived_cl22673_224,plain,
( ( op1 @ e13 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22672,zip_derived_cl20048,zip_derived_cl376]) ).
thf(zip_derived_cl444_225,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl20281_226,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl20281_227,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl20240_228,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl21595_229,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl21597,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl20240,zip_derived_cl21595]) ).
thf(zip_derived_cl22600_230,plain,
( ( op1 @ e13 @ e12 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22599,zip_derived_cl372,zip_derived_cl20000]) ).
thf(zip_derived_cl16136_231,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl20281_232,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl17269_233,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl21615_234,plain,
( ( op2 @ e23 @ e22 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21614,zip_derived_cl21168,zip_derived_cl20237]) ).
thf(zip_derived_cl70,plain,
( ( ( op1 @ e14 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl175,plain,
( ( op1 @ e14 @ e11 )
!= ( op1 @ e14 @ e14 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl16776_235,plain,
( e12
= ( op1 @ e14 @ e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl427,zip_derived_cl427]) ).
thf(zip_derived_cl16779,plain,
( ( op1 @ e14 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl16776]) ).
thf(zip_derived_cl18216,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl70,zip_derived_cl16779]) ).
thf(zip_derived_cl427_236,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl18218,plain,
( ( e14 = e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18216,zip_derived_cl427]) ).
thf(zip_derived_cl373_237,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl18221,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18218,zip_derived_cl373]) ).
thf(zip_derived_cl19932_238,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl33,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20151,plain,
( ( e11 = e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl18221,zip_derived_cl19932,zip_derived_cl33]) ).
thf(zip_derived_cl377_239,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20152,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20151,zip_derived_cl377]) ).
thf(zip_derived_cl201,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl19932_240,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl30,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20009,plain,
( e12
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl19932,zip_derived_cl30]) ).
thf(zip_derived_cl20882,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20152,zip_derived_cl20009]) ).
thf(zip_derived_cl17269_241,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20281_242,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl444_243,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl137,plain,
( ( ( op2 @ e23 @ e24 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl322,plain,
( ( op2 @ e23 @ e24 )
!= ( op2 @ e24 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl17099_244,plain,
( e22
= ( op2 @ e24 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl433,zip_derived_cl431,zip_derived_cl431]) ).
thf(zip_derived_cl17415,plain,
( ( op2 @ e23 @ e24 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl17099]) ).
thf(zip_derived_cl19091,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl137,zip_derived_cl17415]) ).
thf(zip_derived_cl20240_245,plain,
( ( h3 @ e12 )
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl447,zip_derived_cl20229,zip_derived_cl20229]) ).
thf(zip_derived_cl20310,plain,
( ( ( h3 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl19091,zip_derived_cl20240]) ).
thf(zip_derived_cl21070_246,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl114_247,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21316,plain,
( ( ( h3 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( e23 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl20310,zip_derived_cl21070,zip_derived_cl114]) ).
thf(zip_derived_cl384_248,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21317,plain,
( ( ( h3 @ e12 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21316,zip_derived_cl384]) ).
thf(zip_derived_cl21595_249,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl21615_250,plain,
( ( op2 @ e23 @ e22 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21614,zip_derived_cl21168,zip_derived_cl20237]) ).
thf(zip_derived_cl22208,plain,
( ( e21 = e22 )
| ( e24 = e22 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl21317,zip_derived_cl21595,zip_derived_cl21615]) ).
thf(zip_derived_cl383,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl387_251,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl22209,plain,
( ( op2 @ e23 @ e21 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22208,zip_derived_cl383,zip_derived_cl387]) ).
thf(zip_derived_cl19932_252,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl28_253,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20281_254,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl20281_255,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl19932_256,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_257,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl114_258,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl22680_259,plain,
( ( op1 @ e12 @ e14 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl22679]) ).
thf(zip_derived_cl444_260,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl17269_261,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl16136_262,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl22750_263,plain,
( ( op2 @ e22 @ e24 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22749,zip_derived_cl386,zip_derived_cl21662]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e11 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl206,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl427_264,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16586,plain,
( e14
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl427]) ).
thf(zip_derived_cl17784,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( ( op1 @ e10 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl46,zip_derived_cl16586]) ).
thf(zip_derived_cl19932_265,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl29_266,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20110,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 )
| ( e13 = e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl17784,zip_derived_cl19932,zip_derived_cl29]) ).
thf(zip_derived_cl372_267,plain,
e13 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20111,plain,
( ( ( op1 @ e14 @ e13 )
= e14 )
| ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20110,zip_derived_cl372]) ).
thf(zip_derived_cl179,plain,
( ( op1 @ e14 @ e10 )
!= ( op1 @ e14 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl19932_268,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl26_269,plain,
( ( op1 @ e14 @ unit1 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19999,plain,
( e14
!= ( op1 @ e14 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl19932,zip_derived_cl26]) ).
thf(zip_derived_cl22549,plain,
( ( ( op1 @ e13 @ e13 )
= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20111,zip_derived_cl19999]) ).
thf(zip_derived_cl184,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl22550,plain,
( ( ( op1 @ e13 @ e12 )
!= e14 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22549,zip_derived_cl184]) ).
thf(zip_derived_cl22600_270,plain,
( ( op1 @ e13 @ e12 )
= e14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22599,zip_derived_cl372,zip_derived_cl20000]) ).
thf(zip_derived_cl22608,plain,
( ( e14 != e14 )
| ( ( op1 @ e12 @ e13 )
= e14 ) ),
inference(demod,[status(thm)],[zip_derived_cl22550,zip_derived_cl22600]) ).
thf(zip_derived_cl22609,plain,
( ( op1 @ e12 @ e13 )
= e14 ),
inference(simplify,[status(thm)],[zip_derived_cl22608]) ).
thf(zip_derived_cl16136_271,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl17269_272,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20281_273,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl143,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl357,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl431_274,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl17619,plain,
( e24
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl431]) ).
thf(zip_derived_cl19208,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e22 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl143,zip_derived_cl17619]) ).
thf(zip_derived_cl20229_275,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20247,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( e23 = e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl19208,zip_derived_cl20229]) ).
thf(zip_derived_cl382_276,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl20248,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( ( op2 @ e22 @ e20 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20247,zip_derived_cl382]) ).
thf(zip_derived_cl21070_277,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl116,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21295,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 )
| ( e22 = e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl20248,zip_derived_cl21070,zip_derived_cl116]) ).
thf(zip_derived_cl383_278,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21296,plain,
( ( ( op2 @ e22 @ e24 )
= e24 )
| ( ( op2 @ e22 @ e23 )
= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21295,zip_derived_cl383]) ).
thf(zip_derived_cl330,plain,
( ( op2 @ e20 @ e24 )
!= ( op2 @ e22 @ e24 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21070_279,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl113_280,plain,
( ( op2 @ unit2 @ e24 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21162,plain,
( e24
!= ( op2 @ e22 @ e24 ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl21070,zip_derived_cl113]) ).
thf(zip_derived_cl21766,plain,
( ( op2 @ e22 @ e23 )
= e24 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21296,zip_derived_cl21162]) ).
thf(zip_derived_cl20219_281,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl20281_282,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl17269_283,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17269_284,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20229_285,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl13,plain,
( ( ( op1 @ e12 @ e11 )
= e14 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl260,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl17062,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl260]) ).
thf(zip_derived_cl257,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl427_286,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl17053,plain,
( e14
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl427]) ).
thf(zip_derived_cl17063,plain,
( ( ( op1 @ e10 @ e11 )
!= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17062,zip_derived_cl17053]) ).
thf(zip_derived_cl19932_287,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl33_288,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl19932_289,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl22977,plain,
( ( e11 != e11 )
| ( ( op1 @ e12 @ e11 )
= unit1 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17063,zip_derived_cl19932,zip_derived_cl33,zip_derived_cl19932]) ).
thf(zip_derived_cl22978,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= unit1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl22977]) ).
thf(zip_derived_cl20009_290,plain,
( e12
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl19932,zip_derived_cl30]) ).
thf(zip_derived_cl197,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl20219_291,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl428,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl20222,plain,
( ( op1 @ e12 @ e11 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl20219]) ).
thf(zip_derived_cl22979,plain,
( ( op1 @ e12 @ e11 )
= unit1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22978,zip_derived_cl20009,zip_derived_cl20222]) ).
thf(zip_derived_cl21287_292,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl17269_293,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl444_294,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl448,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl447_295,plain,
( ( h3 @ e12 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax18]) ).
thf(zip_derived_cl17859,plain,
( ( h3 @ e10 )
= ( op2 @ e22 @ ( h3 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl448,zip_derived_cl447]) ).
thf(zip_derived_cl19932_296,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20116,plain,
( ( h3 @ unit1 )
= ( op2 @ e22 @ ( h3 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17859,zip_derived_cl19932]) ).
thf(zip_derived_cl21595_297,plain,
( ( h3 @ e12 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21594,zip_derived_cl21185]) ).
thf(zip_derived_cl21596,plain,
( ( h3 @ unit1 )
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20116,zip_derived_cl21595]) ).
thf(zip_derived_cl99,plain,
( ( ( op2 @ e22 @ e21 )
= e24 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl17619_298,plain,
( e24
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl431]) ).
thf(zip_derived_cl18702,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl99,zip_derived_cl17619]) ).
thf(zip_derived_cl21070_299,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21223,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl18702,zip_derived_cl21070]) ).
thf(zip_derived_cl297,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl20229_300,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl432,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl20234,plain,
( ( op2 @ e22 @ e21 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl20229]) ).
thf(zip_derived_cl21224,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= unit2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21223,zip_derived_cl20234]) ).
thf(zip_derived_cl22842,plain,
( ( ( h3 @ unit1 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= unit2 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21596,zip_derived_cl21224]) ).
thf(zip_derived_cl360,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21070_301,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl119,plain,
( ( op2 @ unit2 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21171,plain,
( e21
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl21070,zip_derived_cl119]) ).
thf(zip_derived_cl21596_302,plain,
( ( h3 @ unit1 )
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20116,zip_derived_cl21595]) ).
thf(zip_derived_cl21656,plain,
( e21
!= ( h3 @ unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl21171,zip_derived_cl21596]) ).
thf(zip_derived_cl22845,plain,
( ( ( op2 @ e22 @ e21 )
= unit2 )
| ( ( op2 @ e22 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22842,zip_derived_cl21656]) ).
thf(zip_derived_cl21596_303,plain,
( ( h3 @ unit1 )
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20116,zip_derived_cl21595]) ).
thf(zip_derived_cl22846,plain,
( ( ( h3 @ unit1 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= unit2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22845,zip_derived_cl21596]) ).
thf(zip_derived_cl301,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl21070_304,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl116_305,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21148,plain,
( e22
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl21070,zip_derived_cl116]) ).
thf(zip_derived_cl21596_306,plain,
( ( h3 @ unit1 )
= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl20116,zip_derived_cl21595]) ).
thf(zip_derived_cl21655,plain,
( e22
!= ( h3 @ unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl21148,zip_derived_cl21596]) ).
thf(zip_derived_cl22848,plain,
( ( op2 @ e22 @ e21 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22846,zip_derived_cl21655]) ).
thf(zip_derived_cl19932_307,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl30_308,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl17269_309,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17269_310,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl19932_311,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_312,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl116_313,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl20850_314,plain,
( ( op1 @ e11 @ e14 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20068,zip_derived_cl20099]) ).
thf(zip_derived_cl20281_315,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl444_316,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl16136_317,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl21226_318,plain,
( ( op2 @ e21 @ e24 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl21225]) ).
thf(zip_derived_cl71,plain,
( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl17692_319,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl18241,plain,
( ( ( op1 @ e11 @ e14 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( e10 = e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl17692]) ).
thf(zip_derived_cl380_320,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl16783_321,plain,
( ( op1 @ e11 @ e14 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl16776]) ).
thf(zip_derived_cl18242,plain,
( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18241,zip_derived_cl380,zip_derived_cl16783]) ).
thf(zip_derived_cl427_322,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl18244,plain,
( ( e14 = e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18242,zip_derived_cl427]) ).
thf(zip_derived_cl373_323,plain,
e12 != e14,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl18247,plain,
( ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18244,zip_derived_cl373]) ).
thf(zip_derived_cl19932_324,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl32_325,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20153,plain,
( ( e11 = e12 )
| ( ( op1 @ e11 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl18247,zip_derived_cl19932,zip_derived_cl32]) ).
thf(zip_derived_cl377_326,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl20154,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl20153,zip_derived_cl377]) ).
thf(zip_derived_cl17269_327,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl444_328,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl20281_329,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl157,plain,
( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl17754_330,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl19404,plain,
( ( ( op2 @ e21 @ e24 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( e20 = e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl17754]) ).
thf(zip_derived_cl390_331,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl17452_332,plain,
( ( op2 @ e21 @ e24 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl17099]) ).
thf(zip_derived_cl19405,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19404,zip_derived_cl390,zip_derived_cl17452]) ).
thf(zip_derived_cl431_333,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl19407,plain,
( ( e24 = e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19405,zip_derived_cl431]) ).
thf(zip_derived_cl383_334,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl19410,plain,
( ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl19407,zip_derived_cl383]) ).
thf(zip_derived_cl21070_335,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl118_336,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl21267,plain,
( ( e21 = e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl19410,zip_derived_cl21070,zip_derived_cl118]) ).
thf(zip_derived_cl387_337,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl21268,plain,
( ( op2 @ e21 @ e23 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21267,zip_derived_cl387]) ).
thf(zip_derived_cl17692_338,plain,
( e10
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl427,zip_derived_cl427,zip_derived_cl16776]) ).
thf(zip_derived_cl19932_339,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl20098,plain,
( unit1
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl17692,zip_derived_cl19932]) ).
thf(zip_derived_cl21287_340,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl444_341,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl17269_342,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl17754_343,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl21070_344,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl21069]) ).
thf(zip_derived_cl21197,plain,
( unit2
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl17754,zip_derived_cl21070]) ).
thf(zip_derived_cl427_345,plain,
( e14
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl16136_346,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl444_347,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl444_348,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl431_349,plain,
( e24
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl19932_350,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl32_351,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl444_352,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl444_353,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl19932_354,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_355,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl118_356,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl19932_357,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl27_358,plain,
( ( op1 @ unit1 @ e14 )
= e14 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl16136_359,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl19932_360,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_361,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl16136_362,plain,
( ( h2 @ e14 )
= e24 ),
inference(demod,[status(thm)],[zip_derived_cl440,zip_derived_cl431]) ).
thf(zip_derived_cl113_363,plain,
( ( op2 @ unit2 @ e24 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl19932_364,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl29_365,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl20281_366,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl19932_367,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_368,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl20281_369,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099,zip_derived_cl20229]) ).
thf(zip_derived_cl115_370,plain,
( ( op2 @ unit2 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl19932_371,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl31_372,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl17269_373,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl19932_374,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_375,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl17269_376,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl431,zip_derived_cl431,zip_derived_cl17099]) ).
thf(zip_derived_cl117_377,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl19932_378,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl33_379,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl444_380,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl19932_381,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_382,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl444_383,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl119_384,plain,
( ( op2 @ unit2 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl19932_385,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19932_386,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl19976_387,plain,
( ( op1 @ unit1 @ unit1 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl19932,zip_derived_cl19932]) ).
thf(zip_derived_cl21287_388,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl19932_389,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_390,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl19932_391,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl19931]) ).
thf(zip_derived_cl21287_392,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl20115,zip_derived_cl21070]) ).
thf(zip_derived_cl21127_393,plain,
( ( op2 @ unit2 @ unit2 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl21070,zip_derived_cl21070]) ).
thf(zip_derived_cl31482,plain,
( ( e24 != e24 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( unit2 != unit2 )
| ( e22 != e22 )
| ( unit2 != unit2 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( e24 != e24 )
| ( unit2 != unit2 )
| ( e21 != e21 )
| ( e24 != e24 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e24 != e24 )
| ( e23 != e23 )
| ( unit2 != unit2 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( unit2 != unit2 )
| ( e24 != e24 )
| ( e21 != e21 )
| ( e24 != e24 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( unit2 != unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4019,zip_derived_cl16136,zip_derived_cl20281,zip_derived_cl17269,zip_derived_cl444,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl21070,zip_derived_cl16776,zip_derived_cl17269,zip_derived_cl16136,zip_derived_cl16136,zip_derived_cl17099,zip_derived_cl23120,zip_derived_cl21287,zip_derived_cl16136,zip_derived_cl20281,zip_derived_cl22157,zip_derived_cl22654,zip_derived_cl444,zip_derived_cl16136,zip_derived_cl17269,zip_derived_cl21792,zip_derived_cl22463,zip_derived_cl20281,zip_derived_cl16136,zip_derived_cl444,zip_derived_cl21738,zip_derived_cl19932,zip_derived_cl26,zip_derived_cl16136,zip_derived_cl16136,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl112,zip_derived_cl22693,zip_derived_cl21287,zip_derived_cl20281,zip_derived_cl16136,zip_derived_cl22757,zip_derived_cl22673,zip_derived_cl444,zip_derived_cl20281,zip_derived_cl20281,zip_derived_cl21597,zip_derived_cl22600,zip_derived_cl16136,zip_derived_cl20281,zip_derived_cl17269,zip_derived_cl21615,zip_derived_cl20882,zip_derived_cl17269,zip_derived_cl20281,zip_derived_cl444,zip_derived_cl22209,zip_derived_cl19932,zip_derived_cl28,zip_derived_cl20281,zip_derived_cl20281,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl114,zip_derived_cl22680,zip_derived_cl444,zip_derived_cl17269,zip_derived_cl16136,zip_derived_cl22750,zip_derived_cl22609,zip_derived_cl16136,zip_derived_cl17269,zip_derived_cl20281,zip_derived_cl21766,zip_derived_cl20219,zip_derived_cl20281,zip_derived_cl17269,zip_derived_cl17269,zip_derived_cl20229,zip_derived_cl22979,zip_derived_cl21287,zip_derived_cl17269,zip_derived_cl444,zip_derived_cl22848,zip_derived_cl19932,zip_derived_cl30,zip_derived_cl17269,zip_derived_cl17269,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl116,zip_derived_cl20850,zip_derived_cl20281,zip_derived_cl444,zip_derived_cl16136,zip_derived_cl21226,zip_derived_cl20154,zip_derived_cl17269,zip_derived_cl444,zip_derived_cl20281,zip_derived_cl21268,zip_derived_cl20098,zip_derived_cl21287,zip_derived_cl444,zip_derived_cl17269,zip_derived_cl21197,zip_derived_cl427,zip_derived_cl16136,zip_derived_cl444,zip_derived_cl444,zip_derived_cl431,zip_derived_cl19932,zip_derived_cl32,zip_derived_cl444,zip_derived_cl444,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl118,zip_derived_cl19932,zip_derived_cl27,zip_derived_cl16136,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl16136,zip_derived_cl113,zip_derived_cl19932,zip_derived_cl29,zip_derived_cl20281,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl20281,zip_derived_cl115,zip_derived_cl19932,zip_derived_cl31,zip_derived_cl17269,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl17269,zip_derived_cl117,zip_derived_cl19932,zip_derived_cl33,zip_derived_cl444,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl444,zip_derived_cl119,zip_derived_cl19932,zip_derived_cl19932,zip_derived_cl19976,zip_derived_cl21287,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl19932,zip_derived_cl21287,zip_derived_cl21127]) ).
thf(zip_derived_cl31483,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl31482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : ALG048+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JEkDKqkGZf true
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 06:00:49 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.24/0.65 % Total configuration time : 435
% 0.24/0.65 % Estimated wc time : 1092
% 0.24/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 82.95/12.59 % Solved by fo/fo5.sh.
% 82.95/12.59 % done 6046 iterations in 11.749s
% 82.95/12.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 82.95/12.59 % SZS output start Refutation
% See solution above
% 82.95/12.60
% 82.95/12.60
% 82.95/12.60 % Terminating...
% 83.58/12.69 % Runner terminated.
% 83.58/12.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------