TSTP Solution File: ALG097+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG097+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.xG6I8JjfKD true
% Computer : n024.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 17:10:30 EDT 2023
% Result : Unsatisfiable 11.77s 2.34s
% Output : Refutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 1375 ( 228 unt; 7 typ; 0 def)
% Number of atoms : 3537 (3536 equ; 0 cnn)
% Maximal formula atoms : 250 ( 2 avg)
% Number of connectives : 9606 (1149 ~; 925 |; 461 &;6288 @)
% ( 0 <=>; 0 =>; 783 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e4_type,type,
e4: $i ).
thf(e3_type,type,
e3: $i ).
thf(unit_type,type,
unit: $i ).
thf(e2_type,type,
e2: $i ).
thf(e1_type,type,
e1: $i ).
thf(e0_type,type,
e0: $i ).
thf(op_type,type,
op: $i > $i > $i ).
thf(ax1,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e0 ) )
& ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e0 ) )
& ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e0 ) )
& ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e0 ) )
& ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e0 ) )
& ( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e0 ) )
& ( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 ) )
& ( ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e0 ) )
& ( ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e0 ) )
& ( ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e0 ) )
& ( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e0 ) )
& ( ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e0 ) )
& ( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 ) )
& ( ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e0 ) )
& ( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e0 ) )
& ( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e0 ) )
& ( ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) )
& ( ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e0 ) )
& ( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e0 ) )
& ( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e0 ) )
& ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e0 ) )
& ( ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e0 ) )
& ( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e0 ) )
& ( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) )
& ( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e0 ) ) ) ).
thf(zip_derived_cl14,plain,
( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl413,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(ax2,axiom,
( ( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) )
& ( ( op @ e4 @ unit )
= e4 )
& ( ( op @ unit @ e4 )
= e4 )
& ( ( op @ e3 @ unit )
= e3 )
& ( ( op @ unit @ e3 )
= e3 )
& ( ( op @ e2 @ unit )
= e2 )
& ( ( op @ unit @ e2 )
= e2 )
& ( ( op @ e1 @ unit )
= e1 )
& ( ( op @ unit @ e1 )
= e1 )
& ( ( op @ e0 @ unit )
= e0 )
& ( ( op @ unit @ e0 )
= e0 ) ) ).
thf(zip_derived_cl25,plain,
( ( unit = e4 )
| ( unit = e3 )
| ( unit = e2 )
| ( unit = e1 )
| ( unit = e0 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl469,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1192,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl30]) ).
thf(ax4,axiom,
( ( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e2 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e4 @ e1 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e4 @ e1 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e4 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e2 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e0 @ e1 ) )
& ( ( op @ e3 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e1 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e4 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e2 @ e4 ) )
& ( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) )
& ( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e2 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e2 @ e3 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e1 @ e3 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e4 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e3 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) )
& ( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) )
& ( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e2 @ e2 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e1 @ e2 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e4 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e2 @ e2 ) )
& ( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) )
& ( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e1 @ e1 )
!= ( op @ e2 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e4 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e3 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e2 @ e1 ) )
& ( ( op @ e0 @ e1 )
!= ( op @ e1 @ e1 ) )
& ( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) )
& ( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e4 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e3 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e2 @ e0 ) )
& ( ( op @ e0 @ e0 )
!= ( op @ e1 @ e0 ) ) ) ).
thf(zip_derived_cl113,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7652,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1192,zip_derived_cl113]) ).
thf(zip_derived_cl8446,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl7652]) ).
thf('0',plain,
( ( ( op @ e2 @ e0 )
!= e2 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8446]) ).
thf(zip_derived_cl24,plain,
( ( ( op @ e0 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl461,plain,
( ( ( op @ e0 @ e0 )
= e0 )
<= ( ( op @ e0 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl469_001,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1230,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl34]) ).
thf(zip_derived_cl133,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8848,plain,
( ( ( op @ e0 @ e0 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1230,zip_derived_cl133]) ).
thf(zip_derived_cl9451,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e0 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl8848]) ).
thf('1',plain,
( ( ( op @ e0 @ e0 )
!= e0 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9451]) ).
thf(zip_derived_cl22,plain,
( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl451,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1230_002,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl34]) ).
thf(zip_derived_cl128,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8846,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1230,zip_derived_cl128]) ).
thf(zip_derived_cl9433,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl8846]) ).
thf('2',plain,
( ( ( op @ e0 @ e2 )
!= e0 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9433]) ).
thf(zip_derived_cl23,plain,
( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl456,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1230_003,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl34]) ).
thf(zip_derived_cl130,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8847,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1230,zip_derived_cl130]) ).
thf(zip_derived_cl9442,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl8847]) ).
thf('3',plain,
( ( ( op @ e0 @ e1 )
!= e0 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9442]) ).
thf(zip_derived_cl464,plain,
( ( ( op @ e0 @ e0 )
= e3 )
<= ( ( op @ e0 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl2,plain,
( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl351,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(ax81,axiom,
~ ( ( e3
= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
& ( e0
= ( op @ e4 @ e2 ) )
& ( e1
= ( op @ e2 @ e4 ) ) ) ).
thf(zip_derived_cl295,plain,
( ( e3
!= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
| ( e0
!= ( op @ e4 @ e2 ) )
| ( e1
!= ( op @ e2 @ e4 ) ) ),
inference(cnf,[status(esa)],[ax81]) ).
thf(zip_derived_cl985,plain,
( ( e3
!= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
<= ( e3
!= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl6097,plain,
( ( e3
!= ( op @ e0 @ e0 ) )
<= ( ( e3
!= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
& ( ( op @ e4 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl985]) ).
thf(zip_derived_cl10919,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
& ( ( op @ e4 @ e2 )
= e0 )
& ( ( op @ e0 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl6097]) ).
thf('4',plain,
( ( e3
= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
| ( ( op @ e0 @ e0 )
!= e3 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10919]) ).
thf(zip_derived_cl10,plain,
( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl394,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl0,plain,
( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl344,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl137,plain,
( ( op @ e2 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1745,plain,
( ( ( op @ e2 @ e4 )
!= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl137]) ).
thf(zip_derived_cl2832,plain,
( ( e3 != e3 )
<= ( ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e2 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl1745]) ).
thf('5',plain,
( ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2832]) ).
thf(zip_derived_cl395,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl469_004,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1142,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl27]) ).
thf(zip_derived_cl138,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6801,plain,
( ( ( op @ e2 @ e4 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1142,zip_derived_cl138]) ).
thf(zip_derived_cl7151,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl6801]) ).
thf('6',plain,
( ( ( op @ e2 @ e4 )
!= e4 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7151]) ).
thf(zip_derived_cl19,plain,
( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl437,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl469_005,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1214,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl32]) ).
thf(zip_derived_cl123,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8230,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1214,zip_derived_cl123]) ).
thf(zip_derived_cl9305,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl8230]) ).
thf('7',plain,
( ( ( op @ e1 @ e0 )
!= e1 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9305]) ).
thf(zip_derived_cl1214_006,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl32]) ).
thf(zip_derived_cl16,plain,
( ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl421,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl8232,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1214,zip_derived_cl421]) ).
thf(ax5,axiom,
( ( e3 != e4 )
& ( e2 != e4 )
& ( e2 != e3 )
& ( e1 != e4 )
& ( e1 != e3 )
& ( e1 != e2 )
& ( e0 != e4 )
& ( e0 != e3 )
& ( e0 != e2 )
& ( e0 != e1 ) ) ).
thf(zip_derived_cl195,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('8',plain,
( ( ( op @ e1 @ e3 )
!= e0 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8232,zip_derived_cl195]) ).
thf(ax34,axiom,
~ ( ( e1
= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) )
& ( e0
= ( op @ e2 @ e3 ) )
& ( e4
= ( op @ e3 @ e2 ) ) ) ).
thf(zip_derived_cl248,plain,
( ( e1
!= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) )
| ( e0
!= ( op @ e2 @ e3 ) )
| ( e4
!= ( op @ e3 @ e2 ) ) ),
inference(cnf,[status(esa)],[ax34]) ).
thf('9',plain,
( ( e1
!= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) )
| ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(ax3,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e3 ) )
& ( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e2 ) )
& ( ( ( op @ e4 @ e4 )
= e2 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e1 ) )
& ( ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) )
& ( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 ) )
& ( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 ) )
& ( ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 ) )
& ( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 ) )
& ( ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 ) )
& ( ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 ) )
& ( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 ) )
& ( ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 ) )
& ( ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 ) )
& ( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) )
& ( ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 ) )
& ( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 ) )
& ( ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 ) )
& ( ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 ) )
& ( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 ) )
& ( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 ) )
& ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
& ( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e0 @ e0 )
= e4 ) )
& ( ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
& ( ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e2 )
= e3 )
| ( ( op @ e0 @ e1 )
= e3 )
| ( ( op @ e0 @ e0 )
= e3 ) )
& ( ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
& ( ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e2 )
= e2 )
| ( ( op @ e0 @ e1 )
= e2 )
| ( ( op @ e0 @ e0 )
= e2 ) )
& ( ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
& ( ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e2 )
= e1 )
| ( ( op @ e0 @ e1 )
= e1 )
| ( ( op @ e0 @ e0 )
= e1 ) )
& ( ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) )
& ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
= e0 ) ) ) ).
thf(zip_derived_cl65,plain,
( ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('10',plain,
( ( ( op @ e2 @ e1 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e3 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl467,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1233,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl35]) ).
thf(zip_derived_cl411,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl181,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3374,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e2 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl181]) ).
thf(zip_derived_cl9022,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e0 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl3374]) ).
thf('11',plain,
( ( ( op @ e2 @ e0 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9022]) ).
thf(zip_derived_cl467_007,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34_008,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1228,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl34]) ).
thf(zip_derived_cl451_009,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl131,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3950,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl131]) ).
thf(zip_derived_cl8758,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1228,zip_derived_cl3950]) ).
thf('12',plain,
( ( ( op @ e0 @ e2 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8758]) ).
thf(zip_derived_cl413_010,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl467_011,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_012,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1190,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl30]) ).
thf(zip_derived_cl115,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7523,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1190,zip_derived_cl115]) ).
thf(zip_derived_cl8279,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl7523]) ).
thf('13',plain,
( ( ( op @ e2 @ e0 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8279]) ).
thf(zip_derived_cl467_013,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1204,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl31]) ).
thf(zip_derived_cl7,plain,
( ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl378,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl160,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2627,plain,
( ( ( op @ e1 @ e2 )
!= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl160]) ).
thf(zip_derived_cl7850,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1204,zip_derived_cl2627]) ).
thf('14',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7850]) ).
thf(zip_derived_cl1190_014,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl30]) ).
thf(zip_derived_cl13,plain,
( ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl406,plain,
( ( ( op @ e2 @ e1 )
= e0 )
<= ( ( op @ e2 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl7526,plain,
( ( e2 = e0 )
<= ( ( ( op @ e2 @ e1 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1190,zip_derived_cl406]) ).
thf(zip_derived_cl194,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('15',plain,
( ( ( op @ e2 @ e1 )
!= e0 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7526,zip_derived_cl194]) ).
thf(zip_derived_cl467_015,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1151,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl28]) ).
thf(zip_derived_cl8,plain,
( ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl383,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6947,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1151,zip_derived_cl383]) ).
thf(zip_derived_cl188,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('16',plain,
( ( ( op @ e3 @ e1 )
!= e2 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6947,zip_derived_cl188]) ).
thf(zip_derived_cl376,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl366,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl97,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1484,plain,
( ( ( op @ e3 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl97]) ).
thf(zip_derived_cl2237,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl1484]) ).
thf('17',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2237]) ).
thf(zip_derived_cl370,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl366_016,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1530,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e4 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl366]) ).
thf(zip_derived_cl192,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('18',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1530,zip_derived_cl192]) ).
thf(zip_derived_cl368,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl366_017,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1505,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl368,zip_derived_cl366]) ).
thf(zip_derived_cl194_018,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('19',plain,
( ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1505,zip_derived_cl194]) ).
thf(zip_derived_cl391,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl366_019,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl138_020,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1781,plain,
( ( ( op @ e2 @ e4 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl138]) ).
thf(zip_derived_cl2886,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl1781]) ).
thf('20',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2886]) ).
thf(zip_derived_cl20,plain,
( ( ( op @ e0 @ e4 )
= e4 )
| ( ( op @ e0 @ e4 )
= e3 )
| ( ( op @ e0 @ e4 )
= e2 )
| ( ( op @ e0 @ e4 )
= e1 )
| ( ( op @ e0 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl441,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl366_021,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl143,plain,
( ( op @ e0 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1982,plain,
( ( ( op @ e0 @ e4 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl143]) ).
thf(zip_derived_cl3593,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e0 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl1982]) ).
thf('21',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3593]) ).
thf(zip_derived_cl462,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl11,plain,
( ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl396,plain,
( ( ( op @ e2 @ e3 )
= e0 )
<= ( ( op @ e2 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl843,plain,
( ( e1
!= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) )
<= ( e1
!= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl248]) ).
thf(zip_derived_cl5867,plain,
( ( e1
!= ( op @ e0 @ e0 ) )
<= ( ( e1
!= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) )
& ( ( op @ e2 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl396,zip_derived_cl843]) ).
thf(zip_derived_cl10089,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) )
& ( ( op @ e2 @ e3 )
= e0 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl5867]) ).
thf('22',plain,
( ( ( op @ e2 @ e3 )
!= e0 )
| ( ( op @ e0 @ e0 )
!= e1 )
| ( e1
= ( op @ ( op @ e2 @ e3 ) @ ( op @ e2 @ e3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl10089]) ).
thf(zip_derived_cl57,plain,
( ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('23',plain,
( ( ( op @ e2 @ e0 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e2 @ e3 )
= e4 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl462_022,plain,
( ( ( op @ e0 @ e0 )
= e1 )
<= ( ( op @ e0 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl376_023,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(ax32,axiom,
~ ( ( e1
= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
& ( e0
= ( op @ e3 @ e2 ) )
& ( e4
= ( op @ e2 @ e3 ) ) ) ).
thf(zip_derived_cl246,plain,
( ( e1
!= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
| ( e0
!= ( op @ e3 @ e2 ) )
| ( e4
!= ( op @ e2 @ e3 ) ) ),
inference(cnf,[status(esa)],[ax32]) ).
thf(zip_derived_cl837,plain,
( ( e1
!= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
<= ( e1
!= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl5847,plain,
( ( e1
!= ( op @ e0 @ e0 ) )
<= ( ( e1
!= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
& ( ( op @ e3 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl837]) ).
thf(zip_derived_cl10017,plain,
( ( e1 != e1 )
<= ( ( e1
!= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
& ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e0 @ e0 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl462,zip_derived_cl5847]) ).
thf('24',plain,
( ( e1
= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
| ( ( op @ e0 @ e0 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10017]) ).
thf(zip_derived_cl415,plain,
( ( ( op @ e2 @ e0 )
= e4 )
<= ( ( op @ e2 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl9,plain,
( ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl390,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl178,plain,
( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3294,plain,
( ( ( op @ e2 @ e0 )
!= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl178]) ).
thf(zip_derived_cl5169,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e0 )
= e4 )
& ( ( op @ e2 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl415,zip_derived_cl3294]) ).
thf('25',plain,
( ( ( op @ e2 @ e0 )
!= e4 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5169]) ).
thf(zip_derived_cl461_024,plain,
( ( ( op @ e0 @ e0 )
= e0 )
<= ( ( op @ e0 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1228_025,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl34]) ).
thf(zip_derived_cl135,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8713,plain,
( ( ( op @ e0 @ e0 )
!= e0 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1228,zip_derived_cl135]) ).
thf(zip_derived_cl9408,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e0 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl8713]) ).
thf('26',plain,
( ( ( op @ e0 @ e0 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9408]) ).
thf(zip_derived_cl1228_026,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl34]) ).
thf(zip_derived_cl21,plain,
( ( ( op @ e0 @ e3 )
= e4 )
| ( ( op @ e0 @ e3 )
= e3 )
| ( ( op @ e0 @ e3 )
= e2 )
| ( ( op @ e0 @ e3 )
= e1 )
| ( ( op @ e0 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl446,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl130_027,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3826,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl130]) ).
thf(zip_derived_cl8753,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1228,zip_derived_cl3826]) ).
thf('27',plain,
( ( unit != e1 )
| ( ( op @ e0 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8753]) ).
thf(zip_derived_cl1228_028,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl34]) ).
thf(zip_derived_cl441_029,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl129,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3583,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl129]) ).
thf(zip_derived_cl8748,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1228,zip_derived_cl3583]) ).
thf('28',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8748]) ).
thf(zip_derived_cl1190_030,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl30]) ).
thf(zip_derived_cl393,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl109,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1812,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl109]) ).
thf(zip_derived_cl7541,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1190,zip_derived_cl1812]) ).
thf('29',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7541]) ).
thf(zip_derived_cl467_031,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27_032,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1140,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl27]) ).
thf(zip_derived_cl395_033,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl141,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1912,plain,
( ( ( op @ e1 @ e4 )
!= e4 )
<= ( ( op @ e2 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl141]) ).
thf(zip_derived_cl6696,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e4 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1140,zip_derived_cl1912]) ).
thf('30',plain,
( ( ( op @ e2 @ e4 )
!= e4 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6696]) ).
thf(zip_derived_cl1140_034,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl27]) ).
thf(zip_derived_cl370_035,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl140,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1868,plain,
( ( ( op @ e1 @ e4 )
!= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl140]) ).
thf(zip_derived_cl6691,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1140,zip_derived_cl1868]) ).
thf('31',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6691]) ).
thf(zip_derived_cl410,plain,
( ( ( op @ e2 @ e1 )
= e4 )
<= ( ( op @ e2 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl467_036,plain,
( ( unit = e1 )
<= ( unit = e1 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1125,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl26]) ).
thf(zip_derived_cl167,plain,
( ( op @ e2 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6364,plain,
( ( ( op @ e2 @ e1 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1125,zip_derived_cl167]) ).
thf(zip_derived_cl6479,plain,
( ( e4 != e4 )
<= ( ( ( op @ e2 @ e1 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl6364]) ).
thf('32',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6479]) ).
thf(zip_derived_cl385,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1125_037,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl26]) ).
thf(zip_derived_cl166,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6363,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1125,zip_derived_cl166]) ).
thf(zip_derived_cl6473,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e1 )
= e4 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl6363]) ).
thf('33',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6473]) ).
thf(zip_derived_cl468,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_038,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1152,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl28]) ).
thf(zip_derived_cl376_039,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7004,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl376]) ).
thf(zip_derived_cl193,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('34',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7004,zip_derived_cl193]) ).
thf(ax65,axiom,
~ ( ( e2
= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
& ( e1
= ( op @ e3 @ e4 ) )
& ( e0
= ( op @ e4 @ e3 ) ) ) ).
thf(zip_derived_cl279,plain,
( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
| ( e1
!= ( op @ e3 @ e4 ) )
| ( e0
!= ( op @ e4 @ e3 ) ) ),
inference(cnf,[status(esa)],[ax65]) ).
thf('35',plain,
( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
| ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e4 @ e3 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl279]) ).
thf(zip_derived_cl381,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl3,plain,
( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e3 )
| ( ( op @ e4 @ e1 )
= e2 )
| ( ( op @ e4 @ e1 )
= e1 )
| ( ( op @ e4 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl356,plain,
( ( ( op @ e4 @ e1 )
= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl166_040,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2869,plain,
( ( ( op @ e3 @ e1 )
!= e0 )
<= ( ( op @ e4 @ e1 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl166]) ).
thf(zip_derived_cl4577,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl2869]) ).
thf('36',plain,
( ( ( op @ e4 @ e1 )
!= e0 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4577]) ).
thf(zip_derived_cl18,plain,
( ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl433,plain,
( ( ( op @ e1 @ e1 )
= e2 )
<= ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl367,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(ax59,axiom,
~ ( ( e2
= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
& ( e0
= ( op @ e3 @ e4 ) )
& ( e1
= ( op @ e4 @ e3 ) ) ) ).
thf(zip_derived_cl273,plain,
( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
| ( e0
!= ( op @ e3 @ e4 ) )
| ( e1
!= ( op @ e4 @ e3 ) ) ),
inference(cnf,[status(esa)],[ax59]) ).
thf(zip_derived_cl919,plain,
( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
<= ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl273]) ).
thf(zip_derived_cl5998,plain,
( ( e2
!= ( op @ e1 @ e1 ) )
<= ( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
& ( ( op @ e3 @ e4 )
= e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl919]) ).
thf(zip_derived_cl10565,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
& ( ( op @ e3 @ e4 )
= e1 )
& ( ( op @ e1 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl5998]) ).
thf('37',plain,
( ( e2
= ( op @ ( op @ e3 @ e4 ) @ ( op @ e3 @ e4 ) ) )
| ( ( op @ e3 @ e4 )
!= e1 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10565]) ).
thf('38',plain,
( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl463,plain,
( ( ( op @ e0 @ e0 )
= e2 )
<= ( ( op @ e0 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl421_041,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(ax58,axiom,
~ ( ( e2
= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
& ( e0
= ( op @ e1 @ e3 ) )
& ( e4
= ( op @ e3 @ e1 ) ) ) ).
thf(zip_derived_cl272,plain,
( ( e2
!= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
| ( e0
!= ( op @ e1 @ e3 ) )
| ( e4
!= ( op @ e3 @ e1 ) ) ),
inference(cnf,[status(esa)],[ax58]) ).
thf(zip_derived_cl915,plain,
( ( e2
!= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
<= ( e2
!= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(zip_derived_cl5987,plain,
( ( e2
!= ( op @ e0 @ e0 ) )
<= ( ( e2
!= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
& ( ( op @ e1 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl915]) ).
thf(zip_derived_cl10522,plain,
( ( e2 != e2 )
<= ( ( e2
!= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
& ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e0 @ e0 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl5987]) ).
thf('39',plain,
( ( e2
= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
| ( ( op @ e1 @ e3 )
!= e0 )
| ( ( op @ e0 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10522]) ).
thf(zip_derived_cl381_042,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl366_043,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl99,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1485,plain,
( ( ( op @ e3 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl99]) ).
thf(zip_derived_cl2261,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl1485]) ).
thf('40',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2261]) ).
thf(zip_derived_cl15,plain,
( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl416,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl366_044,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl140_045,plain,
( ( op @ e1 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1864,plain,
( ( ( op @ e1 @ e4 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl140]) ).
thf(zip_derived_cl3077,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl1864]) ).
thf('41',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3077]) ).
thf('42',plain,
( ( e2
!= ( op @ ( op @ e1 @ e3 ) @ ( op @ e1 @ e3 ) ) )
| ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl272]) ).
thf(ax6,axiom,
( ( ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e4 ) )
& ( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e3 ) )
& ( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e2 ) )
& ( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e1 ) )
& ( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e0 ) )
& ( ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e4 ) )
& ( ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e3 ) )
& ( ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e2 ) )
& ( ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e1 ) )
& ( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e0 ) )
& ( ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e4 ) )
& ( ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e3 ) )
& ( ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e2 ) )
& ( ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e1 ) )
& ( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e0 ) )
& ( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e4 ) )
& ( ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e3 ) )
& ( ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e2 ) )
& ( ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e1 ) )
& ( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e0 ) )
& ( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e4 ) )
& ( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e3 ) )
& ( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e2 ) )
& ( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e1 ) )
& ( ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e0 ) ) ) ).
thf(zip_derived_cl216,plain,
( ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e4 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('43',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl216]) ).
thf(zip_derived_cl436,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl468_046,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35_047,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1234,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl35]) ).
thf(zip_derived_cl181_048,plain,
( ( op @ e1 @ e0 )
!= ( op @ e2 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl9049,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1234,zip_derived_cl181]) ).
thf(zip_derived_cl9494,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl9049]) ).
thf('44',plain,
( ( unit != e2 )
| ( ( op @ e1 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9494]) ).
thf(zip_derived_cl461_049,plain,
( ( ( op @ e0 @ e0 )
= e0 )
<= ( ( op @ e0 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl468_050,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34_051,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1229,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl34]) ).
thf(zip_derived_cl134,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8780,plain,
( ( ( op @ e0 @ e0 )
!= e0 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1229,zip_derived_cl134]) ).
thf(zip_derived_cl9425,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl8780]) ).
thf('45',plain,
( ( ( op @ e0 @ e0 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9425]) ).
thf(zip_derived_cl456_052,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1229_053,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl34]) ).
thf(zip_derived_cl131_054,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8779,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1229,zip_derived_cl131]) ).
thf(zip_derived_cl9416,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl8779]) ).
thf('46',plain,
( ( unit != e2 )
| ( ( op @ e0 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9416]) ).
thf(zip_derived_cl437_055,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl468_056,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_057,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1213,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl32]) ).
thf(zip_derived_cl124,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8168,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1213,zip_derived_cl124]) ).
thf(zip_derived_cl9278,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl8168]) ).
thf('47',plain,
( ( ( op @ e1 @ e0 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9278]) ).
thf(zip_derived_cl432,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1213_058,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl32]) ).
thf(zip_derived_cl121,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8167,plain,
( ( ( op @ e1 @ e1 )
!= e1 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1213,zip_derived_cl121]) ).
thf(zip_derived_cl9270,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl8167]) ).
thf('48',plain,
( ( unit != e2 )
| ( ( op @ e1 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9270]) ).
thf(zip_derived_cl1234_059,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl35]) ).
thf(zip_derived_cl386,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl178_060,plain,
( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3290,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl178]) ).
thf(zip_derived_cl9090,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1234,zip_derived_cl3290]) ).
thf('49',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9090]) ).
thf(zip_derived_cl1234_061,plain,
( ( ( op @ e2 @ e0 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl35]) ).
thf(zip_derived_cl4,plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e3 )
| ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl361,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl177,plain,
( ( op @ e2 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3271,plain,
( ( ( op @ e2 @ e0 )
!= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl361,zip_derived_cl177]) ).
thf(zip_derived_cl9085,plain,
( ( e0 != e0 )
<= ( ( ( op @ e4 @ e0 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1234,zip_derived_cl3271]) ).
thf('50',plain,
( ( ( op @ e4 @ e0 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9085]) ).
thf(zip_derived_cl1229_062,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl34]) ).
thf(zip_derived_cl446_063,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl128_064,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3825,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl128]) ).
thf(zip_derived_cl8820,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1229,zip_derived_cl3825]) ).
thf('51',plain,
( ( unit != e2 )
| ( ( op @ e0 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8820]) ).
thf(zip_derived_cl1229_065,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl34]) ).
thf(zip_derived_cl441_066,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl127,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3582,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl127]) ).
thf(zip_derived_cl8815,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1229,zip_derived_cl3582]) ).
thf('52',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8815]) ).
thf(zip_derived_cl468_067,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1220,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl33]) ).
thf(zip_derived_cl382,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl168,plain,
( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2945,plain,
( ( ( op @ e2 @ e1 )
!= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl168]) ).
thf(zip_derived_cl8493,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1220,zip_derived_cl2945]) ).
thf('53',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8493]) ).
thf(zip_derived_cl1213_068,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl32]) ).
thf(zip_derived_cl422,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl118,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2935,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl118]) ).
thf(zip_derived_cl8205,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1213,zip_derived_cl2935]) ).
thf('54',plain,
( ( unit != e2 )
| ( ( op @ e1 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8205]) ).
thf(zip_derived_cl1213_069,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl32]) ).
thf(zip_derived_cl417,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl117,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2734,plain,
( ( ( op @ e1 @ e2 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl117]) ).
thf(zip_derived_cl8200,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1213,zip_derived_cl2734]) ).
thf('55',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8200]) ).
thf(zip_derived_cl468_070,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27_071,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1141,plain,
( ( ( op @ e2 @ e4 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl27]) ).
thf(zip_derived_cl370_072,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl138_073,plain,
( ( op @ e2 @ e4 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1785,plain,
( ( ( op @ e2 @ e4 )
!= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl138]) ).
thf(zip_derived_cl6760,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1141,zip_derived_cl1785]) ).
thf('56',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6760]) ).
thf(zip_derived_cl365,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl468_074,plain,
( ( unit = e2 )
<= ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_075,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1126,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl26]) ).
thf(zip_derived_cl94,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6427,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1126,zip_derived_cl94]) ).
thf(zip_derived_cl6535,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl6427]) ).
thf('57',plain,
( ( ( op @ e4 @ e0 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6535]) ).
thf(zip_derived_cl1126_076,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl26]) ).
thf(zip_derived_cl351_077,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl6432,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1126,zip_derived_cl351]) ).
thf(zip_derived_cl192_078,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('58',plain,
( ( unit != e2 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6432,zip_derived_cl192]) ).
thf(zip_derived_cl383_079,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6,plain,
( ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl373,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl100,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1560,plain,
( ( ( op @ e3 @ e1 )
!= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl100]) ).
thf(zip_derived_cl2496,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e3 )
= e2 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl1560]) ).
thf('59',plain,
( ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2496]) ).
thf(zip_derived_cl373_080,plain,
( ( ( op @ e3 @ e3 )
= e2 )
<= ( ( op @ e3 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl368_081,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl96,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1501,plain,
( ( ( op @ e3 @ e3 )
!= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl96]) ).
thf(zip_derived_cl2319,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( ( op @ e3 @ e3 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl1501]) ).
thf('60',plain,
( ( ( op @ e3 @ e4 )
!= e2 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2319]) ).
thf(ax22,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
& ( e3
= ( op @ e1 @ e2 ) )
& ( e4
= ( op @ e2 @ e1 ) ) ) ).
thf(zip_derived_cl236,plain,
( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
| ( e3
!= ( op @ e1 @ e2 ) )
| ( e4
!= ( op @ e2 @ e1 ) ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf('61',plain,
( ( ( op @ e2 @ e1 )
!= e4 )
| ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl385_082,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl380,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl101,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1634,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl101]) ).
thf(zip_derived_cl2640,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl1634]) ).
thf('62',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2640]) ).
thf(zip_derived_cl371,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl17,plain,
( ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl429,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl806,plain,
( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
<= ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl5830,plain,
( ( e0
!= ( op @ e3 @ e3 ) )
<= ( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl806]) ).
thf(zip_derived_cl9966,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
& ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl5830]) ).
thf('63',plain,
( ( e0
= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
| ( ( op @ e1 @ e2 )
!= e3 )
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9966]) ).
thf('64',plain,
( ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl419,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl394_083,plain,
( ( ( op @ e2 @ e4 )
= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl141_084,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1911,plain,
( ( ( op @ e1 @ e4 )
!= e3 )
<= ( ( op @ e2 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl141]) ).
thf(zip_derived_cl3192,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e4 )
= e3 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl1911]) ).
thf('65',plain,
( ( ( op @ e2 @ e4 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3192]) ).
thf(ax28,axiom,
~ ( ( e0
= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
& ( e4
= ( op @ e1 @ e2 ) )
& ( e3
= ( op @ e2 @ e1 ) ) ) ).
thf(zip_derived_cl242,plain,
( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
| ( e4
!= ( op @ e1 @ e2 ) )
| ( e3
!= ( op @ e2 @ e1 ) ) ),
inference(cnf,[status(esa)],[ax28]) ).
thf('66',plain,
( ( ( op @ e2 @ e1 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e4 )
| ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl242]) ).
thf(zip_derived_cl341,plain,
( ( ( op @ e4 @ e4 )
= e0 )
<= ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl430,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl806_085,plain,
( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
<= ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl5831,plain,
( ( e0
!= ( op @ e4 @ e4 ) )
<= ( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl806]) ).
thf(zip_derived_cl9973,plain,
( ( e0 != e0 )
<= ( ( e0
!= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
& ( ( op @ e4 @ e4 )
= e0 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl5831]) ).
thf('67',plain,
( ( e0
= ( op @ ( op @ e1 @ e2 ) @ ( op @ e1 @ e2 ) ) )
| ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9973]) ).
thf(zip_derived_cl430_086,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl429_087,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3238,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e2 )
= e3 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl429]) ).
thf(zip_derived_cl186,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('68',plain,
( ( ( op @ e1 @ e2 )
!= e3 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3238,zip_derived_cl186]) ).
thf(zip_derived_cl59,plain,
( ( ( op @ e2 @ e4 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('69',plain,
( ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e0 )
= e3 )
| ( ( op @ e2 @ e3 )
= e3 )
| ( ( op @ e2 @ e1 )
= e3 )
| ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl365_088,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e1 )
| ( ( op @ e4 @ e3 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl350,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl93,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1342,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl93]) ).
thf(zip_derived_cl2078,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( ( op @ e4 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl1342]) ).
thf('70',plain,
( ( ( op @ e4 @ e0 )
!= e4 )
| ( ( op @ e4 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2078]) ).
thf(zip_derived_cl365_089,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl345,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl92,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1304,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl92]) ).
thf(zip_derived_cl1959,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e4 )
= e4 )
& ( ( op @ e4 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl1304]) ).
thf('71',plain,
( ( ( op @ e4 @ e4 )
!= e4 )
| ( ( op @ e4 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1959]) ).
thf(zip_derived_cl197,plain,
( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('72',plain,
( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf('73',plain,
( ( ( op @ e4 @ e0 )
= e2 )
| ( ( op @ e4 @ e0 )
= e1 )
| ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl466,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_090,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1211,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl32]) ).
thf(zip_derived_cl427,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl124_091,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3138,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl124]) ).
thf(zip_derived_cl8051,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e2 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl3138]) ).
thf('74',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8051]) ).
thf(zip_derived_cl1211_092,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl32]) ).
thf(zip_derived_cl422_093,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl123_094,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2937,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl123]) ).
thf(zip_derived_cl8046,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl2937]) ).
thf('75',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8046]) ).
thf(zip_derived_cl466_095,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_096,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1203,plain,
( ( ( op @ e0 @ e2 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl31]) ).
thf(zip_derived_cl428,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl165,plain,
( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3176,plain,
( ( ( op @ e0 @ e2 )
!= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl165]) ).
thf(zip_derived_cl7794,plain,
( ( e2 != e2 )
<= ( ( ( op @ e1 @ e2 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1203,zip_derived_cl3176]) ).
thf('76',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7794]) ).
thf(zip_derived_cl466_097,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_098,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1189,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl30]) ).
thf(zip_derived_cl398,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl113_099,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2013,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl113]) ).
thf(zip_derived_cl7471,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e3 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1189,zip_derived_cl2013]) ).
thf('77',plain,
( ( unit != e0 )
| ( ( op @ e2 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7471]) ).
thf(zip_derived_cl1189_100,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl30]) ).
thf(zip_derived_cl393_101,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl112,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1813,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl112]) ).
thf(zip_derived_cl7466,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1189,zip_derived_cl1813]) ).
thf('78',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7466]) ).
thf(zip_derived_cl439,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl466_102,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_103,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1150,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl180,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6877,plain,
( ( ( op @ e1 @ e0 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1150,zip_derived_cl180]) ).
thf(zip_derived_cl7232,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl6877]) ).
thf('79',plain,
( ( ( op @ e1 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7232]) ).
thf(zip_derived_cl414,plain,
( ( ( op @ e2 @ e0 )
= e3 )
<= ( ( op @ e2 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1150_104,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl178_105,plain,
( ( op @ e2 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6876,plain,
( ( ( op @ e2 @ e0 )
!= e3 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1150,zip_derived_cl178]) ).
thf(zip_derived_cl7226,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl6876]) ).
thf('80',plain,
( ( ( op @ e2 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7226]) ).
thf(zip_derived_cl466_106,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1173,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl29]) ).
thf(zip_derived_cl424,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl155,plain,
( ( op @ e0 @ e3 )
!= ( op @ e1 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3017,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl155]) ).
thf(zip_derived_cl7198,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl3017]) ).
thf('81',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7198]) ).
thf(zip_derived_cl1173_107,plain,
( ( ( op @ e0 @ e3 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl29]) ).
thf(zip_derived_cl399,plain,
( ( ( op @ e2 @ e3 )
= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl154,plain,
( ( op @ e0 @ e3 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2409,plain,
( ( ( op @ e0 @ e3 )
!= e3 )
<= ( ( op @ e2 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl154]) ).
thf(zip_derived_cl7193,plain,
( ( e3 != e3 )
<= ( ( ( op @ e2 @ e3 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl2409]) ).
thf('82',plain,
( ( unit != e0 )
| ( ( op @ e2 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7193]) ).
thf(zip_derived_cl1150_108,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl386_109,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6879,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1150,zip_derived_cl386]) ).
thf(zip_derived_cl193_110,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('83',plain,
( ( unit != e0 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6879,zip_derived_cl193]) ).
thf(zip_derived_cl460,plain,
( ( ( op @ e0 @ e1 )
= e4 )
<= ( ( op @ e0 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl466_111,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl27_112,plain,
( ( op @ unit @ e4 )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1139,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl27]) ).
thf(zip_derived_cl129_113,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6593,plain,
( ( ( op @ e0 @ e1 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1139,zip_derived_cl129]) ).
thf(zip_derived_cl6861,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e1 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl6593]) ).
thf('84',plain,
( ( ( op @ e0 @ e1 )
!= e4 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6861]) ).
thf(zip_derived_cl455,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1139_114,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl27]) ).
thf(zip_derived_cl127_115,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6592,plain,
( ( ( op @ e0 @ e2 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1139,zip_derived_cl127]) ).
thf(zip_derived_cl6855,plain,
( ( e4 != e4 )
<= ( ( ( op @ e0 @ e2 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl6592]) ).
thf('85',plain,
( ( unit != e0 )
| ( ( op @ e0 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6855]) ).
thf(zip_derived_cl466_116,plain,
( ( unit = e0 )
<= ( unit = e0 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_117,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1124,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl360,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl95,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1433,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl95]) ).
thf(zip_derived_cl6353,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e1 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl1433]) ).
thf('86',plain,
( ( unit != e0 )
| ( ( op @ e4 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6353]) ).
thf(zip_derived_cl1124_118,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl355,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl94_119,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1390,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl94]) ).
thf(zip_derived_cl6348,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl1390]) ).
thf('87',plain,
( ( unit != e0 )
| ( ( op @ e4 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6348]) ).
thf(zip_derived_cl1124_120,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl364,plain,
( ( ( op @ e4 @ e0 )
= e3 )
<= ( ( op @ e4 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6324,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e0 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1124,zip_derived_cl364]) ).
thf(zip_derived_cl186_121,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('88',plain,
( ( ( op @ e4 @ e0 )
!= e3 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6324,zip_derived_cl186]) ).
thf(zip_derived_cl1124_122,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl363,plain,
( ( ( op @ e4 @ e0 )
= e2 )
<= ( ( op @ e4 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6323,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e0 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1124,zip_derived_cl363]) ).
thf(zip_derived_cl187,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('89',plain,
( ( ( op @ e4 @ e0 )
!= e2 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6323,zip_derived_cl187]) ).
thf(zip_derived_cl1124_123,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl362,plain,
( ( ( op @ e4 @ e0 )
= e1 )
<= ( ( op @ e4 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6322,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e0 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1124,zip_derived_cl362]) ).
thf(zip_derived_cl189,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('90',plain,
( ( ( op @ e4 @ e0 )
!= e1 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6322,zip_derived_cl189]) ).
thf(zip_derived_cl1124_124,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl361_125,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( ( op @ e4 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6321,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e0 )
= e0 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1124,zip_derived_cl361]) ).
thf(zip_derived_cl192_126,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('91',plain,
( ( ( op @ e4 @ e0 )
!= e0 )
| ( unit != e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6321,zip_derived_cl192]) ).
thf(zip_derived_cl66,plain,
( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e0 @ e1 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('92',plain,
( ( ( op @ e0 @ e1 )
= e4 )
| ( ( op @ e2 @ e1 )
= e4 )
| ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl379,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl374,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl98,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1571,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl98]) ).
thf(zip_derived_cl2509,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e3 )
= e3 )
& ( ( op @ e3 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl1571]) ).
thf('93',plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ( ( op @ e3 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2509]) ).
thf(ax117,axiom,
~ ( ( e4
= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
& ( e2
= ( op @ e3 @ e1 ) )
& ( e0
= ( op @ e1 @ e3 ) ) ) ).
thf(zip_derived_cl331,plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
| ( e2
!= ( op @ e3 @ e1 ) )
| ( e0
!= ( op @ e1 @ e3 ) ) ),
inference(cnf,[status(esa)],[ax117]) ).
thf('94',plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
| ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl331]) ).
thf('95',plain,
( ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl381_127,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl376_128,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl101_129,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1600,plain,
( ( ( op @ e3 @ e1 )
!= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl101]) ).
thf(zip_derived_cl2561,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl1600]) ).
thf('96',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2561]) ).
thf(zip_derived_cl385_130,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl375,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl100_131,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1585,plain,
( ( ( op @ e3 @ e1 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl100]) ).
thf(zip_derived_cl2542,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl1585]) ).
thf('97',plain,
( ( ( op @ e3 @ e3 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2542]) ).
thf(zip_derived_cl64,plain,
( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('98',plain,
( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl63,plain,
( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('99',plain,
( ( ( op @ e2 @ e0 )
= e1 )
| ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e1 )
= e1 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl344_132,plain,
( ( ( op @ e4 @ e4 )
= e3 )
<= ( ( op @ e4 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl455_133,plain,
( ( ( op @ e0 @ e2 )
= e4 )
<= ( ( op @ e0 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(ax88,axiom,
~ ( ( e3
= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
& ( e1
= ( op @ e0 @ e2 ) )
& ( e4
= ( op @ e2 @ e0 ) ) ) ).
thf(zip_derived_cl302,plain,
( ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
| ( e1
!= ( op @ e0 @ e2 ) )
| ( e4
!= ( op @ e2 @ e0 ) ) ),
inference(cnf,[status(esa)],[ax88]) ).
thf(zip_derived_cl1005,plain,
( ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
<= ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl302]) ).
thf(zip_derived_cl6161,plain,
( ( e3
!= ( op @ e4 @ e4 ) )
<= ( ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl1005]) ).
thf(zip_derived_cl11164,plain,
( ( e3 != e3 )
<= ( ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
& ( ( op @ e4 @ e4 )
= e3 )
& ( ( op @ e0 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl6161]) ).
thf('100',plain,
( ( e3
= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
| ( ( op @ e0 @ e2 )
!= e4 )
| ( ( op @ e4 @ e4 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11164]) ).
thf(zip_derived_cl392,plain,
( ( ( op @ e2 @ e4 )
= e1 )
<= ( ( op @ e2 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl391_134,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1775,plain,
( ( e1 = e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e2 @ e4 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl392,zip_derived_cl391]) ).
thf(zip_derived_cl195_135,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('101',plain,
( ( ( op @ e2 @ e4 )
!= e1 )
| ( ( op @ e2 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1775,zip_derived_cl195]) ).
thf(zip_derived_cl56,plain,
( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e0 @ e2 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('102',plain,
( ( ( op @ e0 @ e2 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl44,plain,
( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('103',plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e0 @ e4 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf('104',plain,
( ( ( op @ e4 @ e4 )
= e3 )
| ( ( op @ e4 @ e4 )
= e1 )
| ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e4 )
= e4 )
| ( ( op @ e4 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl360_136,plain,
( ( ( op @ e4 @ e1 )
= e4 )
<= ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl350_137,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl90,plain,
( ( op @ e4 @ e1 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1341,plain,
( ( ( op @ e4 @ e1 )
!= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl90]) ).
thf(zip_derived_cl2072,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e3 )
= e4 )
& ( ( op @ e4 @ e1 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl1341]) ).
thf('105',plain,
( ( ( op @ e4 @ e1 )
!= e4 )
| ( ( op @ e4 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2072]) ).
thf(zip_derived_cl350_138,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( ( op @ e4 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl345_139,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl86,plain,
( ( op @ e4 @ e3 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1281,plain,
( ( ( op @ e4 @ e3 )
!= e4 )
<= ( ( op @ e4 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl86]) ).
thf(zip_derived_cl1873,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e4 )
= e4 )
& ( ( op @ e4 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl1281]) ).
thf('106',plain,
( ( ( op @ e4 @ e4 )
!= e4 )
| ( ( op @ e4 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1873]) ).
thf(zip_derived_cl199,plain,
( ( ( op @ e4 @ e1 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('107',plain,
( ( ( op @ e4 @ e4 )
!= e1 )
| ( ( op @ e4 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl206,plain,
( ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('108',plain,
( ( ( op @ e2 @ e2 )
!= e4 )
| ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl206]) ).
thf(zip_derived_cl200,plain,
( ( ( op @ e4 @ e0 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e0 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('109',plain,
( ( ( op @ e4 @ e4 )
!= e0 )
| ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl200]) ).
thf(zip_derived_cl198,plain,
( ( ( op @ e4 @ e2 )
= e4 )
| ( ( op @ e4 @ e4 )
!= e2 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('110',plain,
( ( ( op @ e4 @ e4 )
!= e2 )
| ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf('111',plain,
( ( ( op @ e4 @ e3 )
= e4 )
| ( ( op @ e4 @ e3 )
= e2 )
| ( ( op @ e4 @ e3 )
= e3 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl407,plain,
( ( ( op @ e2 @ e1 )
= e1 )
<= ( ( op @ e2 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl469_140,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_141,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1221,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl33]) ).
thf(zip_derived_cl168_142,plain,
( ( op @ e2 @ e1 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8512,plain,
( ( ( op @ e2 @ e1 )
!= e1 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl168]) ).
thf(zip_derived_cl9363,plain,
( ( e1 != e1 )
<= ( ( ( op @ e2 @ e1 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl8512]) ).
thf('112',plain,
( ( ( op @ e2 @ e1 )
!= e1 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9363]) ).
thf(zip_derived_cl1230_143,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl34]) ).
thf(zip_derived_cl441_144,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl126,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3581,plain,
( ( ( op @ e0 @ e3 )
!= e0 )
<= ( ( op @ e0 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl441,zip_derived_cl126]) ).
thf(zip_derived_cl8883,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e4 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1230,zip_derived_cl3581]) ).
thf('113',plain,
( ( ( op @ e0 @ e4 )
!= e0 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8883]) ).
thf(zip_derived_cl408,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1192_145,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl30]) ).
thf(zip_derived_cl110,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7651,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1192,zip_derived_cl110]) ).
thf(zip_derived_cl8438,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e1 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl7651]) ).
thf('114',plain,
( ( ( op @ e2 @ e1 )
!= e2 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8438]) ).
thf(zip_derived_cl1192_146,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl30]) ).
thf(zip_derived_cl393_147,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl106,plain,
( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1810,plain,
( ( ( op @ e2 @ e3 )
!= e2 )
<= ( ( op @ e2 @ e4 )
= e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl106]) ).
thf(zip_derived_cl7671,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e4 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1192,zip_derived_cl1810]) ).
thf('115',plain,
( ( ( op @ e2 @ e4 )
!= e2 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7671]) ).
thf(zip_derived_cl1192_148,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl30]) ).
thf(zip_derived_cl397,plain,
( ( ( op @ e2 @ e3 )
= e1 )
<= ( ( op @ e2 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7656,plain,
( ( e2 = e1 )
<= ( ( ( op @ e2 @ e3 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1192,zip_derived_cl397]) ).
thf(zip_derived_cl191,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('116',plain,
( ( ( op @ e2 @ e3 )
!= e1 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7656,zip_derived_cl191]) ).
thf(zip_derived_cl380_149,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1142_150,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl27]) ).
thf(zip_derived_cl97_151,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6798,plain,
( ( ( op @ e3 @ e2 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1142,zip_derived_cl97]) ).
thf(zip_derived_cl7097,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl6798]) ).
thf('117',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7097]) ).
thf(zip_derived_cl365_152,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( ( op @ e4 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl469_153,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_154,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1127,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl93_155,plain,
( ( op @ e4 @ e0 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6489,plain,
( ( ( op @ e4 @ e0 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1127,zip_derived_cl93]) ).
thf(zip_derived_cl6648,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e0 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl6489]) ).
thf('118',plain,
( ( ( op @ e4 @ e0 )
!= e4 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6648]) ).
thf(zip_derived_cl355_156,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( ( op @ e4 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl1127_157,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl88,plain,
( ( op @ e4 @ e2 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6487,plain,
( ( ( op @ e4 @ e2 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1127,zip_derived_cl88]) ).
thf(zip_derived_cl6587,plain,
( ( e4 != e4 )
<= ( ( ( op @ e4 @ e2 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl6487]) ).
thf('119',plain,
( ( ( op @ e4 @ e2 )
!= e4 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6587]) ).
thf(zip_derived_cl1127_158,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl349,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( ( op @ e4 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl6497,plain,
( ( e4 = e3 )
<= ( ( ( op @ e4 @ e3 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1127,zip_derived_cl349]) ).
thf(zip_derived_cl186_159,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('120',plain,
( ( ( op @ e4 @ e3 )
!= e3 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6497,zip_derived_cl186]) ).
thf(zip_derived_cl1127_160,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl348,plain,
( ( ( op @ e4 @ e3 )
= e2 )
<= ( ( op @ e4 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl6496,plain,
( ( e4 = e2 )
<= ( ( ( op @ e4 @ e3 )
= e2 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1127,zip_derived_cl348]) ).
thf(zip_derived_cl187_161,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('121',plain,
( ( ( op @ e4 @ e3 )
!= e2 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6496,zip_derived_cl187]) ).
thf(zip_derived_cl1127_162,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl347,plain,
( ( ( op @ e4 @ e3 )
= e1 )
<= ( ( op @ e4 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl6495,plain,
( ( e4 = e1 )
<= ( ( ( op @ e4 @ e3 )
= e1 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1127,zip_derived_cl347]) ).
thf(zip_derived_cl189_163,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('122',plain,
( ( ( op @ e4 @ e3 )
!= e1 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6495,zip_derived_cl189]) ).
thf(zip_derived_cl1127_164,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl346,plain,
( ( ( op @ e4 @ e3 )
= e0 )
<= ( ( op @ e4 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl6494,plain,
( ( e4 = e0 )
<= ( ( ( op @ e4 @ e3 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1127,zip_derived_cl346]) ).
thf(zip_derived_cl192_165,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('123',plain,
( ( ( op @ e4 @ e3 )
!= e0 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6494,zip_derived_cl192]) ).
thf(zip_derived_cl425,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl422_166,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3061,plain,
( ( e4 = e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl425,zip_derived_cl422]) ).
thf(zip_derived_cl189_167,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('124',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3061,zip_derived_cl189]) ).
thf(zip_derived_cl435,plain,
( ( ( op @ e1 @ e1 )
= e4 )
<= ( ( op @ e1 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl434,plain,
( ( ( op @ e1 @ e1 )
= e3 )
<= ( ( op @ e1 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl3364,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e1 )
= e3 )
& ( ( op @ e1 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl435,zip_derived_cl434]) ).
thf(zip_derived_cl186_168,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('125',plain,
( ( ( op @ e1 @ e1 )
!= e4 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3364,zip_derived_cl186]) ).
thf(zip_derived_cl1211_169,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl32]) ).
thf(zip_derived_cl432_170,plain,
( ( ( op @ e1 @ e1 )
= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl125,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3282,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e1 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl125]) ).
thf(zip_derived_cl8056,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e1 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl3282]) ).
thf('126',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8056]) ).
thf(zip_derived_cl1211_171,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl32]) ).
thf(zip_derived_cl417_172,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl122,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2736,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl122]) ).
thf(zip_derived_cl8041,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1211,zip_derived_cl2736]) ).
thf('127',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8041]) ).
thf(zip_derived_cl1139_173,plain,
( ( ( op @ e0 @ e4 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl27]) ).
thf(zip_derived_cl420,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl145,plain,
( ( op @ e0 @ e4 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2857,plain,
( ( ( op @ e0 @ e4 )
!= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl145]) ).
thf(zip_derived_cl6627,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e4 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1139,zip_derived_cl2857]) ).
thf('128',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6627]) ).
thf(zip_derived_cl440,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1124_174,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl179,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6319,plain,
( ( ( op @ e1 @ e0 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl179]) ).
thf(zip_derived_cl6418,plain,
( ( e4 != e4 )
<= ( ( ( op @ e1 @ e0 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl440,zip_derived_cl6319]) ).
thf('129',plain,
( ( unit != e0 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6418]) ).
thf('130',plain,
( ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e1 )
= e1 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1150_175,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl388,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6881,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1150,zip_derived_cl388]) ).
thf(zip_derived_cl188_176,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('131',plain,
( ( unit != e0 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6881,zip_derived_cl188]) ).
thf(zip_derived_cl1150_177,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl387,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl6880,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( unit = e0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1150,zip_derived_cl387]) ).
thf(zip_derived_cl190,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('132',plain,
( ( unit != e0 )
| ( ( op @ e3 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6880,zip_derived_cl190]) ).
thf(zip_derived_cl390_178,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1124_179,plain,
( ( ( op @ e4 @ e0 )
= e4 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl26]) ).
thf(zip_derived_cl176,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6317,plain,
( ( ( op @ e3 @ e0 )
!= e4 )
<= ( unit = e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1124,zip_derived_cl176]) ).
thf(zip_derived_cl6406,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e0 )
= e4 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl6317]) ).
thf('133',plain,
( ( unit != e0 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6406]) ).
thf(zip_derived_cl389,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl369,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl102,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1516,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl102]) ).
thf(zip_derived_cl2383,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( ( op @ e3 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl1516]) ).
thf('134',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2383]) ).
thf(zip_derived_cl389_180,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl384,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl105,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1668,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl105]) ).
thf(zip_derived_cl2686,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( ( op @ e3 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl1668]) ).
thf('135',plain,
( ( ( op @ e3 @ e0 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2686]) ).
thf(zip_derived_cl389_181,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl374_182,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl103,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1573,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl103]) ).
thf(zip_derived_cl2529,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e3 )
= e3 )
& ( ( op @ e3 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl1573]) ).
thf('136',plain,
( ( ( op @ e3 @ e0 )
!= e3 )
| ( ( op @ e3 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2529]) ).
thf(zip_derived_cl1142_183,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl27]) ).
thf(zip_derived_cl366_184,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl6804,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1142,zip_derived_cl366]) ).
thf(zip_derived_cl192_185,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('137',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6804,zip_derived_cl192]) ).
thf(zip_derived_cl386_186,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl366_187,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl102_188,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1486,plain,
( ( ( op @ e3 @ e0 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl102]) ).
thf(zip_derived_cl2267,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e0 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl1486]) ).
thf('138',plain,
( ( ( op @ e3 @ e4 )
!= e0 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2267]) ).
thf(zip_derived_cl371_189,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl366_190,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl96_191,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1483,plain,
( ( ( op @ e3 @ e3 )
!= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl96]) ).
thf(zip_derived_cl2231,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e3 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl1483]) ).
thf('139',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2231]) ).
thf('140',plain,
( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e0 )
= e1 )
| ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1150_192,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl379_193,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl104,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1624,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl104]) ).
thf(zip_derived_cl6905,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1150,zip_derived_cl1624]) ).
thf('141',plain,
( ( unit != e0 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6905]) ).
thf(zip_derived_cl387_194,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl386_195,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1694,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( ( op @ e3 @ e0 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl387,zip_derived_cl386]) ).
thf(zip_derived_cl195_196,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('142',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1694,zip_derived_cl195]) ).
thf(zip_derived_cl389_197,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl387_198,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1709,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e3 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl389,zip_derived_cl387]) ).
thf(zip_derived_cl190_199,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('143',plain,
( ( ( op @ e3 @ e0 )
!= e3 )
| ( ( op @ e3 @ e0 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1709,zip_derived_cl190]) ).
thf(zip_derived_cl383_200,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl382_201,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1661,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl383,zip_derived_cl382]) ).
thf(zip_derived_cl191_202,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('144',plain,
( ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1661,zip_derived_cl191]) ).
thf(zip_derived_cl384_203,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl383_204,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1671,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e3 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl384,zip_derived_cl383]) ).
thf(zip_derived_cl188_205,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('145',plain,
( ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1671,zip_derived_cl188]) ).
thf(zip_derived_cl389_206,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl388_207,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1710,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e3 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl389,zip_derived_cl388]) ).
thf(zip_derived_cl188_208,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('146',plain,
( ( ( op @ e3 @ e0 )
!= e3 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1710,zip_derived_cl188]) ).
thf(zip_derived_cl388_209,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl386_210,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1700,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl388,zip_derived_cl386]) ).
thf(zip_derived_cl194_211,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('147',plain,
( ( ( op @ e3 @ e0 )
!= e2 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1700,zip_derived_cl194]) ).
thf(zip_derived_cl53,plain,
( ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('148',plain,
( ( ( op @ e3 @ e1 )
= e1 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e4 )
= e1 )
| ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl382_212,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl381_213,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1654,plain,
( ( e1 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl381]) ).
thf(zip_derived_cl195_214,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('149',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e1 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1654,zip_derived_cl195]) ).
thf(zip_derived_cl384_215,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl381_216,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1669,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl384,zip_derived_cl381]) ).
thf(zip_derived_cl193_217,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('150',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1669,zip_derived_cl193]) ).
thf(zip_derived_cl388_218,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl387_219,plain,
( ( ( op @ e3 @ e0 )
= e1 )
<= ( ( op @ e3 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1701,plain,
( ( e2 = e1 )
<= ( ( ( op @ e3 @ e0 )
= e1 )
& ( ( op @ e3 @ e0 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl388,zip_derived_cl387]) ).
thf(zip_derived_cl191_220,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('151',plain,
( ( ( op @ e3 @ e0 )
!= e1 )
| ( ( op @ e3 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1701,zip_derived_cl191]) ).
thf(zip_derived_cl380_221,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl377,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1637,plain,
( ( e4 = e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl377]) ).
thf(zip_derived_cl189_222,plain,
e1 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('152',plain,
( ( ( op @ e3 @ e2 )
!= e1 )
| ( ( op @ e3 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1637,zip_derived_cl189]) ).
thf(zip_derived_cl380_223,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl378_224,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1638,plain,
( ( e4 = e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl378]) ).
thf(zip_derived_cl187_225,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('153',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1638,zip_derived_cl187]) ).
thf(zip_derived_cl380_226,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl379_227,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1639,plain,
( ( e4 = e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl379]) ).
thf(zip_derived_cl186_228,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('154',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1639,zip_derived_cl186]) ).
thf(zip_derived_cl378_229,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl470,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_230,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1207,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl31]) ).
thf(zip_derived_cl156,plain,
( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7973,plain,
( ( ( op @ e3 @ e2 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1207,zip_derived_cl156]) ).
thf(zip_derived_cl9241,plain,
( ( e2 != e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl7973]) ).
thf('155',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9241]) ).
thf(zip_derived_cl470_231,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_232,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1154,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl368_233,plain,
( ( ( op @ e3 @ e4 )
= e2 )
<= ( ( op @ e3 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7117,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e4 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1154,zip_derived_cl368]) ).
thf(zip_derived_cl188_234,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('156',plain,
( ( ( op @ e3 @ e4 )
!= e2 )
| ( unit != e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7117,zip_derived_cl188]) ).
thf(zip_derived_cl1154_235,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl367_236,plain,
( ( ( op @ e3 @ e4 )
= e1 )
<= ( ( op @ e3 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7116,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e4 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1154,zip_derived_cl367]) ).
thf(zip_derived_cl190_237,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('157',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7116,zip_derived_cl190]) ).
thf(zip_derived_cl1154_238,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl366_239,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7115,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1154,zip_derived_cl366]) ).
thf(zip_derived_cl193_240,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('158',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7115,zip_derived_cl193]) ).
thf(zip_derived_cl370_241,plain,
( ( ( op @ e3 @ e4 )
= e4 )
<= ( ( op @ e3 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl470_242,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl26_243,plain,
( ( op @ e4 @ unit )
= e4 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1131,plain,
( ( ( op @ e4 @ e4 )
= e4 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl26]) ).
thf(zip_derived_cl136,plain,
( ( op @ e3 @ e4 )
!= ( op @ e4 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6549,plain,
( ( ( op @ e3 @ e4 )
!= e4 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1131,zip_derived_cl136]) ).
thf(zip_derived_cl6787,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e4 )
= e4 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl6549]) ).
thf('159',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e4 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6787]) ).
thf(zip_derived_cl51,plain,
( ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('160',plain,
( ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e0 )
= e2 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e4 )
= e2 )
| ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl47,plain,
( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('161',plain,
( ( ( op @ e3 @ e4 )
= e4 )
| ( ( op @ e3 @ e0 )
= e4 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e1 )
= e4 )
| ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl383_244,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl381_245,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1660,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl383,zip_derived_cl381]) ).
thf(zip_derived_cl194_246,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('162',plain,
( ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1660,zip_derived_cl194]) ).
thf(zip_derived_cl385_247,plain,
( ( ( op @ e3 @ e1 )
= e4 )
<= ( ( op @ e3 @ e1 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl381_248,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1679,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e3 @ e1 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl385,zip_derived_cl381]) ).
thf(zip_derived_cl192_249,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('163',plain,
( ( ( op @ e3 @ e1 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1679,zip_derived_cl192]) ).
thf(zip_derived_cl390_250,plain,
( ( ( op @ e3 @ e0 )
= e4 )
<= ( ( op @ e3 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl388_251,plain,
( ( ( op @ e3 @ e0 )
= e2 )
<= ( ( op @ e3 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1719,plain,
( ( e4 = e2 )
<= ( ( ( op @ e3 @ e0 )
= e2 )
& ( ( op @ e3 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl390,zip_derived_cl388]) ).
thf(zip_derived_cl187_252,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('164',plain,
( ( ( op @ e3 @ e0 )
!= e2 )
| ( ( op @ e3 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1719,zip_derived_cl187]) ).
thf(ax103,axiom,
~ ( ( e4
= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
& ( e0
= ( op @ e3 @ e1 ) )
& ( e2
= ( op @ e1 @ e3 ) ) ) ).
thf(zip_derived_cl317,plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
| ( e0
!= ( op @ e3 @ e1 ) )
| ( e2
!= ( op @ e1 @ e3 ) ) ),
inference(cnf,[status(esa)],[ax103]) ).
thf('165',plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
| ( ( op @ e1 @ e3 )
!= e2 )
| ( ( op @ e3 @ e1 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf('166',plain,
( ( ( op @ e0 @ e0 )
= e3 )
| ( ( op @ e0 @ e0 )
= e1 )
| ( ( op @ e0 @ e0 )
= e2 )
| ( ( op @ e0 @ e0 )
= e0 )
| ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl219,plain,
( ( ( op @ e0 @ e1 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('167',plain,
( ( ( op @ e0 @ e0 )
!= e1 )
| ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl219]) ).
thf(zip_derived_cl217,plain,
( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e3 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('168',plain,
( ( ( op @ e0 @ e3 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl217]) ).
thf('169',plain,
( ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl386_253,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl470_254,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35_255,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1236,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl35]) ).
thf(zip_derived_cl176_256,plain,
( ( op @ e3 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl9178,plain,
( ( ( op @ e3 @ e0 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1236,zip_derived_cl176]) ).
thf(zip_derived_cl9521,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl9178]) ).
thf('170',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9521]) ).
thf(zip_derived_cl461_257,plain,
( ( ( op @ e0 @ e0 )
= e0 )
<= ( ( op @ e0 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl470_258,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl34_259,plain,
( ( op @ e0 @ unit )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1231,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl34]) ).
thf(zip_derived_cl132,plain,
( ( op @ e0 @ e0 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8908,plain,
( ( ( op @ e0 @ e0 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1231,zip_derived_cl132]) ).
thf(zip_derived_cl9486,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e0 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl8908]) ).
thf('171',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9486]) ).
thf(zip_derived_cl456_260,plain,
( ( ( op @ e0 @ e1 )
= e0 )
<= ( ( op @ e0 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1231_261,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl34]) ).
thf(zip_derived_cl129_262,plain,
( ( op @ e0 @ e1 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8907,plain,
( ( ( op @ e0 @ e1 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1231,zip_derived_cl129]) ).
thf(zip_derived_cl9477,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e1 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl8907]) ).
thf('172',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9477]) ).
thf(zip_derived_cl446_263,plain,
( ( ( op @ e0 @ e3 )
= e0 )
<= ( ( op @ e0 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1231_264,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl34]) ).
thf(zip_derived_cl126_265,plain,
( ( op @ e0 @ e3 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8905,plain,
( ( ( op @ e0 @ e3 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1231,zip_derived_cl126]) ).
thf(zip_derived_cl9459,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e3 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl8905]) ).
thf('173',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e3 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9459]) ).
thf(zip_derived_cl422_266,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl470_267,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32_268,plain,
( ( op @ e1 @ unit )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1215,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl32]) ).
thf(zip_derived_cl116,plain,
( ( op @ e1 @ e3 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8288,plain,
( ( ( op @ e1 @ e3 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl116]) ).
thf(zip_derived_cl9315,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e3 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl422,zip_derived_cl8288]) ).
thf('174',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e3 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9315]) ).
thf(zip_derived_cl424_269,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl470_270,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl29_271,plain,
( ( op @ unit @ e3 )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1177,plain,
( ( ( op @ e4 @ e3 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl29]) ).
thf(zip_derived_cl149,plain,
( ( op @ e1 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7396,plain,
( ( ( op @ e1 @ e3 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1177,zip_derived_cl149]) ).
thf(zip_derived_cl8152,plain,
( ( e3 != e3 )
<= ( ( ( op @ e1 @ e3 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl7396]) ).
thf('175',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8152]) ).
thf(zip_derived_cl369_272,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl366_273,plain,
( ( ( op @ e3 @ e4 )
= e0 )
<= ( ( op @ e3 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1517,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e4 )
= e0 )
& ( ( op @ e3 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl369,zip_derived_cl366]) ).
thf(zip_derived_cl193_274,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('176',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( ( op @ e3 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1517,zip_derived_cl193]) ).
thf(zip_derived_cl425_275,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl375_276,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl150,plain,
( ( op @ e1 @ e3 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2260,plain,
( ( ( op @ e1 @ e3 )
!= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl150]) ).
thf(zip_derived_cl3772,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl2260]) ).
thf('177',plain,
( ( ( op @ e3 @ e3 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3772]) ).
thf(zip_derived_cl375_277,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl371_278,plain,
( ( ( op @ e3 @ e3 )
= e0 )
<= ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1587,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e3 )
= e0 )
& ( ( op @ e3 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl375,zip_derived_cl371]) ).
thf(zip_derived_cl192_279,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('178',plain,
( ( ( op @ e3 @ e3 )
!= e4 )
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1587,zip_derived_cl192]) ).
thf(zip_derived_cl465,plain,
( ( ( op @ e0 @ e0 )
= e4 )
<= ( ( op @ e0 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl381_280,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1051,plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
<= ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl6197,plain,
( ( e4
!= ( op @ e0 @ e0 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
& ( ( op @ e3 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl1051]) ).
thf(zip_derived_cl11280,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
& ( ( op @ e3 @ e1 )
= e0 )
& ( ( op @ e0 @ e0 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl465,zip_derived_cl6197]) ).
thf('179',plain,
( ( ( op @ e0 @ e0 )
!= e4 )
| ( ( op @ e3 @ e1 )
!= e0 )
| ( e4
= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11280]) ).
thf(zip_derived_cl1213_281,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl32]) ).
thf(zip_derived_cl426,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl8170,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1213,zip_derived_cl426]) ).
thf(zip_derived_cl195_282,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('180',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8170,zip_derived_cl195]) ).
thf(zip_derived_cl1204_283,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl31]) ).
thf(zip_derived_cl426_284,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl7830,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1204,zip_derived_cl426]) ).
thf(zip_derived_cl194_285,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('181',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7830,zip_derived_cl194]) ).
thf(zip_derived_cl451_286,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl426_287,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl165_288,plain,
( ( op @ e0 @ e2 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3103,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl165]) ).
thf(zip_derived_cl4889,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl3103]) ).
thf('182',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e0 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4889]) ).
thf(zip_derived_cl431,plain,
( ( ( op @ e1 @ e1 )
= e0 )
<= ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl426_289,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl121_290,plain,
( ( op @ e1 @ e1 )
!= ( op @ e1 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3101,plain,
( ( ( op @ e1 @ e1 )
!= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl121]) ).
thf(zip_derived_cl4877,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e1 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl3101]) ).
thf('183',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4877]) ).
thf(zip_derived_cl426_291,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl416_292,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl117_293,plain,
( ( op @ e1 @ e2 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2696,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl117]) ).
thf(zip_derived_cl4343,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl2696]) ).
thf('184',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4343]) ).
thf(zip_derived_cl426_294,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl376_295,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl160_296,plain,
( ( op @ e1 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2625,plain,
( ( ( op @ e1 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl160]) ).
thf(zip_derived_cl4277,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl2625]) ).
thf('185',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4277]) ).
thf(zip_derived_cl423,plain,
( ( ( op @ e1 @ e3 )
= e2 )
<= ( ( op @ e1 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl421_297,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl2977,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl423,zip_derived_cl421]) ).
thf(zip_derived_cl194_298,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('186',plain,
( ( ( op @ e1 @ e3 )
!= e2 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2977,zip_derived_cl194]) ).
thf(zip_derived_cl420_299,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl418,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl2860,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e4 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl420,zip_derived_cl418]) ).
thf(zip_derived_cl187_300,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('187',plain,
( ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2860,zip_derived_cl187]) ).
thf(zip_derived_cl419_301,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl418_302,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl2821,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e4 )
= e2 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl418]) ).
thf(zip_derived_cl188_303,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('188',plain,
( ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2821,zip_derived_cl188]) ).
thf(zip_derived_cl418_304,plain,
( ( ( op @ e1 @ e4 )
= e2 )
<= ( ( op @ e1 @ e4 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl417_305,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl2778,plain,
( ( e2 = e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl417]) ).
thf(zip_derived_cl191_306,plain,
e1 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('189',plain,
( ( ( op @ e1 @ e4 )
!= e2 )
| ( ( op @ e1 @ e4 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2778,zip_derived_cl191]) ).
thf(zip_derived_cl71,plain,
( ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 )
| ( ( op @ e1 @ e0 )
= e2 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('190',plain,
( ( ( op @ e1 @ e0 )
= e2 )
| ( ( op @ e1 @ e4 )
= e2 )
| ( ( op @ e1 @ e2 )
= e2 )
| ( ( op @ e1 @ e3 )
= e2 )
| ( ( op @ e1 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl419_307,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl417_308,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl2820,plain,
( ( e3 = e1 )
<= ( ( ( op @ e1 @ e4 )
= e1 )
& ( ( op @ e1 @ e4 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl417]) ).
thf(zip_derived_cl190_309,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('191',plain,
( ( ( op @ e1 @ e4 )
!= e1 )
| ( ( op @ e1 @ e4 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2820,zip_derived_cl190]) ).
thf(zip_derived_cl67,plain,
( ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e0 )
= e4 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('192',plain,
( ( ( op @ e1 @ e0 )
= e4 )
| ( ( op @ e1 @ e2 )
= e4 )
| ( ( op @ e1 @ e4 )
= e4 )
| ( ( op @ e1 @ e1 )
= e4 )
| ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl425_310,plain,
( ( ( op @ e1 @ e3 )
= e4 )
<= ( ( op @ e1 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl421_311,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3060,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl425,zip_derived_cl421]) ).
thf(zip_derived_cl192_312,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('193',plain,
( ( ( op @ e1 @ e3 )
!= e4 )
| ( ( op @ e1 @ e3 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3060,zip_derived_cl192]) ).
thf(zip_derived_cl424_313,plain,
( ( ( op @ e1 @ e3 )
= e3 )
<= ( ( op @ e1 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl421_314,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl3018,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl421]) ).
thf(zip_derived_cl193_315,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('194',plain,
( ( ( op @ e1 @ e3 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3018,zip_derived_cl193]) ).
thf(zip_derived_cl420_316,plain,
( ( ( op @ e1 @ e4 )
= e4 )
<= ( ( op @ e1 @ e4 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl419_317,plain,
( ( ( op @ e1 @ e4 )
= e3 )
<= ( ( op @ e1 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl2861,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e4 )
= e3 )
& ( ( op @ e1 @ e4 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl420,zip_derived_cl419]) ).
thf(zip_derived_cl186_318,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('195',plain,
( ( ( op @ e1 @ e4 )
!= e3 )
| ( ( op @ e1 @ e4 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2861,zip_derived_cl186]) ).
thf(zip_derived_cl69,plain,
( ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 )
| ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('196',plain,
( ( ( op @ e1 @ e1 )
= e3 )
| ( ( op @ e1 @ e0 )
= e3 )
| ( ( op @ e1 @ e3 )
= e3 )
| ( ( op @ e1 @ e4 )
= e3 )
| ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl440_319,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl438,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl3547,plain,
( ( e4 = e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl438]) ).
thf(zip_derived_cl187_320,plain,
e2 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('197',plain,
( ( ( op @ e1 @ e0 )
!= e2 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3547,zip_derived_cl187]) ).
thf(zip_derived_cl439_321,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl438_322,plain,
( ( ( op @ e1 @ e0 )
= e2 )
<= ( ( op @ e1 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl3508,plain,
( ( e3 = e2 )
<= ( ( ( op @ e1 @ e0 )
= e2 )
& ( ( op @ e1 @ e0 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl439,zip_derived_cl438]) ).
thf(zip_derived_cl188_323,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('198',plain,
( ( ( op @ e1 @ e0 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3508,zip_derived_cl188]) ).
thf(zip_derived_cl211,plain,
( ( ( op @ e1 @ e4 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e4 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('199',plain,
( ( ( op @ e1 @ e1 )
!= e4 )
| ( ( op @ e1 @ e4 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl211]) ).
thf(zip_derived_cl213,plain,
( ( ( op @ e1 @ e2 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e2 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('200',plain,
( ( ( op @ e1 @ e1 )
!= e2 )
| ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl213]) ).
thf(zip_derived_cl429_324,plain,
( ( ( op @ e1 @ e2 )
= e3 )
<= ( ( op @ e1 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl426_325,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3216,plain,
( ( e3 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl426]) ).
thf(zip_derived_cl193_326,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('201',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3216,zip_derived_cl193]) ).
thf(zip_derived_cl428_327,plain,
( ( ( op @ e1 @ e2 )
= e2 )
<= ( ( op @ e1 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl426_328,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3177,plain,
( ( e2 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl426]) ).
thf(zip_derived_cl194_329,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('202',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3177,zip_derived_cl194]) ).
thf(zip_derived_cl440_330,plain,
( ( ( op @ e1 @ e0 )
= e4 )
<= ( ( op @ e1 @ e0 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl439_331,plain,
( ( ( op @ e1 @ e0 )
= e3 )
<= ( ( op @ e1 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl3548,plain,
( ( e4 = e3 )
<= ( ( ( op @ e1 @ e0 )
= e3 )
& ( ( op @ e1 @ e0 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl439]) ).
thf(zip_derived_cl186_332,plain,
e3 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('203',plain,
( ( ( op @ e1 @ e0 )
!= e3 )
| ( ( op @ e1 @ e0 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3548,zip_derived_cl186]) ).
thf(zip_derived_cl422_333,plain,
( ( ( op @ e1 @ e3 )
= e1 )
<= ( ( op @ e1 @ e3 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl421_334,plain,
( ( ( op @ e1 @ e3 )
= e0 )
<= ( ( op @ e1 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl2939,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e3 )
= e0 )
& ( ( op @ e1 @ e3 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl421]) ).
thf(zip_derived_cl195_335,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('204',plain,
( ( ( op @ e1 @ e3 )
!= e0 )
| ( ( op @ e1 @ e3 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2939,zip_derived_cl195]) ).
thf(zip_derived_cl212,plain,
( ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('205',plain,
( ( ( op @ e1 @ e3 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl212]) ).
thf(zip_derived_cl427_336,plain,
( ( ( op @ e1 @ e2 )
= e1 )
<= ( ( op @ e1 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl426_337,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3140,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl427,zip_derived_cl426]) ).
thf(zip_derived_cl195_338,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('206',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3140,zip_derived_cl195]) ).
thf(zip_derived_cl430_339,plain,
( ( ( op @ e1 @ e2 )
= e4 )
<= ( ( op @ e1 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl426_340,plain,
( ( ( op @ e1 @ e2 )
= e0 )
<= ( ( op @ e1 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3235,plain,
( ( e4 = e0 )
<= ( ( ( op @ e1 @ e2 )
= e0 )
& ( ( op @ e1 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl426]) ).
thf(zip_derived_cl192_341,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('207',plain,
( ( ( op @ e1 @ e2 )
!= e0 )
| ( ( op @ e1 @ e2 )
!= e4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3235,zip_derived_cl192]) ).
thf(ax102,axiom,
~ ( ( e3
= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
& ( e4
= ( op @ e0 @ e2 ) )
& ( e1
= ( op @ e2 @ e0 ) ) ) ).
thf(zip_derived_cl316,plain,
( ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
| ( e4
!= ( op @ e0 @ e2 ) )
| ( e1
!= ( op @ e2 @ e0 ) ) ),
inference(cnf,[status(esa)],[ax102]) ).
thf('208',plain,
( ( ( op @ e2 @ e0 )
!= e1 )
| ( e3
!= ( op @ ( op @ e0 @ e2 ) @ ( op @ e0 @ e2 ) ) )
| ( ( op @ e0 @ e2 )
!= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl316]) ).
thf(zip_derived_cl12,plain,
( ( ( op @ e2 @ e2 )
= e4 )
| ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf('209',plain,
( ( ( op @ e2 @ e2 )
= e3 )
| ( ( op @ e2 @ e2 )
= e1 )
| ( ( op @ e2 @ e2 )
= e0 )
| ( ( op @ e2 @ e2 )
= e2 )
| ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf('210',plain,
( ( ( op @ e3 @ e3 )
= e3 )
| ( ( op @ e3 @ e3 )
= e1 )
| ( ( op @ e3 @ e3 )
= e4 )
| ( ( op @ e3 @ e3 )
= e2 )
| ( ( op @ e3 @ e3 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl389_342,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1154_343,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl102_344,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7111,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl102]) ).
thf(zip_derived_cl7695,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e0 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl7111]) ).
thf('211',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e0 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7695]) ).
thf(zip_derived_cl374_345,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( ( op @ e3 @ e3 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1154_346,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl96_347,plain,
( ( op @ e3 @ e3 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7108,plain,
( ( ( op @ e3 @ e3 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl96]) ).
thf(zip_derived_cl7585,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e3 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl7108]) ).
thf('212',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e3 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7585]) ).
thf(zip_derived_cl215,plain,
( ( ( op @ e1 @ e0 )
= e1 )
| ( ( op @ e1 @ e1 )
!= e0 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('213',plain,
( ( ( op @ e1 @ e1 )
!= e0 )
| ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl215]) ).
thf(zip_derived_cl210,plain,
( ( ( op @ e2 @ e0 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e0 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('214',plain,
( ( ( op @ e2 @ e2 )
!= e0 )
| ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl210]) ).
thf(zip_derived_cl209,plain,
( ( ( op @ e2 @ e1 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('215',plain,
( ( ( op @ e2 @ e2 )
!= e1 )
| ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl209]) ).
thf(zip_derived_cl207,plain,
( ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('216',plain,
( ( ( op @ e2 @ e3 )
= e2 )
| ( ( op @ e2 @ e2 )
!= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl204,plain,
( ( ( op @ e3 @ e1 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e1 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('217',plain,
( ( ( op @ e3 @ e3 )
!= e1 )
| ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl204]) ).
thf(zip_derived_cl203,plain,
( ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e2 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('218',plain,
( ( ( op @ e3 @ e3 )
!= e2 )
| ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl203]) ).
thf(zip_derived_cl451_348,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1231_349,plain,
( ( ( op @ e0 @ e4 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl34]) ).
thf(zip_derived_cl127_350,plain,
( ( op @ e0 @ e2 )
!= ( op @ e0 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8906,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1231,zip_derived_cl127]) ).
thf(zip_derived_cl9468,plain,
( ( e0 != e0 )
<= ( ( ( op @ e0 @ e2 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl8906]) ).
thf('219',plain,
( ( unit != e4 )
| ( ( op @ e0 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9468]) ).
thf(zip_derived_cl382_351,plain,
( ( ( op @ e3 @ e1 )
= e1 )
<= ( ( op @ e3 @ e1 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl470_352,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl33_353,plain,
( ( op @ unit @ e1 )
= e1 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1222,plain,
( ( ( op @ e4 @ e1 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl33]) ).
thf(zip_derived_cl166_354,plain,
( ( op @ e3 @ e1 )
!= ( op @ e4 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8579,plain,
( ( ( op @ e3 @ e1 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl166]) ).
thf(zip_derived_cl9382,plain,
( ( e1 != e1 )
<= ( ( ( op @ e3 @ e1 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl8579]) ).
thf('220',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e1 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9382]) ).
thf(zip_derived_cl437_355,plain,
( ( ( op @ e1 @ e0 )
= e1 )
<= ( ( op @ e1 @ e0 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1215_356,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl32]) ).
thf(zip_derived_cl122_357,plain,
( ( op @ e1 @ e0 )
!= ( op @ e1 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl8291,plain,
( ( ( op @ e1 @ e0 )
!= e1 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl122]) ).
thf(zip_derived_cl9341,plain,
( ( e1 != e1 )
<= ( ( ( op @ e1 @ e0 )
= e1 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl8291]) ).
thf('221',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e0 )
!= e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9341]) ).
thf(zip_derived_cl413_358,plain,
( ( ( op @ e2 @ e0 )
= e2 )
<= ( ( op @ e2 @ e0 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl470_359,plain,
( ( unit = e4 )
<= ( unit = e4 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl30_360,plain,
( ( op @ e2 @ unit )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1193,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl30]) ).
thf(zip_derived_cl112_361,plain,
( ( op @ e2 @ e0 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7712,plain,
( ( ( op @ e2 @ e0 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1193,zip_derived_cl112]) ).
thf(zip_derived_cl8704,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e0 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl7712]) ).
thf('222',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e0 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8704]) ).
thf(zip_derived_cl408_362,plain,
( ( ( op @ e2 @ e1 )
= e2 )
<= ( ( op @ e2 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1193_363,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl30]) ).
thf(zip_derived_cl109_364,plain,
( ( op @ e2 @ e1 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7711,plain,
( ( ( op @ e2 @ e1 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1193,zip_derived_cl109]) ).
thf(zip_derived_cl8632,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e1 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl408,zip_derived_cl7711]) ).
thf('223',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e1 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8632]) ).
thf(zip_derived_cl403,plain,
( ( ( op @ e2 @ e2 )
= e2 )
<= ( ( op @ e2 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1193_365,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl30]) ).
thf(zip_derived_cl107,plain,
( ( op @ e2 @ e2 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7710,plain,
( ( ( op @ e2 @ e2 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1193,zip_derived_cl107]) ).
thf(zip_derived_cl8624,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e2 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl403,zip_derived_cl7710]) ).
thf('224',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e2 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8624]) ).
thf(zip_derived_cl398_366,plain,
( ( ( op @ e2 @ e3 )
= e2 )
<= ( ( op @ e2 @ e3 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1193_367,plain,
( ( ( op @ e2 @ e4 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl30]) ).
thf(zip_derived_cl106_368,plain,
( ( op @ e2 @ e3 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7709,plain,
( ( ( op @ e2 @ e3 )
!= e2 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1193,zip_derived_cl106]) ).
thf(zip_derived_cl8569,plain,
( ( e2 != e2 )
<= ( ( ( op @ e2 @ e3 )
= e2 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl7709]) ).
thf('225',plain,
( ( unit != e4 )
| ( ( op @ e2 @ e3 )
!= e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl8569]) ).
thf(zip_derived_cl1215_369,plain,
( ( ( op @ e1 @ e4 )
= e1 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl32]) ).
thf(zip_derived_cl416_370,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl8293,plain,
( ( e1 = e0 )
<= ( ( ( op @ e1 @ e4 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1215,zip_derived_cl416]) ).
thf(zip_derived_cl195_371,plain,
e0 != e1,
inference(cnf,[status(esa)],[ax5]) ).
thf('226',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8293,zip_derived_cl195]) ).
thf(zip_derived_cl1207_372,plain,
( ( ( op @ e4 @ e2 )
= e2 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl31]) ).
thf(zip_derived_cl351_373,plain,
( ( ( op @ e4 @ e2 )
= e0 )
<= ( ( op @ e4 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl7977,plain,
( ( e2 = e0 )
<= ( ( ( op @ e4 @ e2 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl351]) ).
thf(zip_derived_cl194_374,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('227',plain,
( ( unit != e4 )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7977,zip_derived_cl194]) ).
thf(zip_derived_cl436_375,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1236_376,plain,
( ( ( op @ e4 @ e0 )
= e0 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl35]) ).
thf(zip_derived_cl179_377,plain,
( ( op @ e1 @ e0 )
!= ( op @ e4 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl9180,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1236,zip_derived_cl179]) ).
thf(zip_derived_cl9539,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl9180]) ).
thf('228',plain,
( ( unit != e4 )
| ( ( op @ e1 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9539]) ).
thf(zip_derived_cl384_378,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1154_379,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl99_380,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7110,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl99]) ).
thf(zip_derived_cl7643,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e1 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl7110]) ).
thf('229',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7643]) ).
thf(zip_derived_cl379_381,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1154_382,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( unit = e4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl28]) ).
thf(zip_derived_cl97_383,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7109,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( unit = e4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl97]) ).
thf(zip_derived_cl7635,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl7109]) ).
thf('230',plain,
( ( unit != e4 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7635]) ).
thf(zip_derived_cl405,plain,
( ( ( op @ e2 @ e2 )
= e4 )
<= ( ( op @ e2 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl383_384,plain,
( ( ( op @ e3 @ e1 )
= e2 )
<= ( ( op @ e3 @ e1 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1051_385,plain,
( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
<= ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl317]) ).
thf(zip_derived_cl6199,plain,
( ( e4
!= ( op @ e2 @ e2 ) )
<= ( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
& ( ( op @ e3 @ e1 )
= e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl1051]) ).
thf(zip_derived_cl11295,plain,
( ( e4 != e4 )
<= ( ( e4
!= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
& ( ( op @ e3 @ e1 )
= e2 )
& ( ( op @ e2 @ e2 )
= e4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl6199]) ).
thf('231',plain,
( ( e4
= ( op @ ( op @ e3 @ e1 ) @ ( op @ e3 @ e1 ) ) )
| ( ( op @ e3 @ e1 )
!= e2 )
| ( ( op @ e2 @ e2 )
!= e4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11295]) ).
thf(zip_derived_cl1152_386,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl28]) ).
thf(zip_derived_cl369_387,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl97_388,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1514,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl97]) ).
thf(zip_derived_cl7020,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1152,zip_derived_cl1514]) ).
thf('232',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7020]) ).
thf(zip_derived_cl1151_389,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl28]) ).
thf(zip_derived_cl369_390,plain,
( ( ( op @ e3 @ e4 )
= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl99_391,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1515,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl99]) ).
thf(zip_derived_cl6961,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1151,zip_derived_cl1515]) ).
thf('233',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6961]) ).
thf(zip_derived_cl1150_392,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( unit = e0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl28]) ).
thf(zip_derived_cl1516_393,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl102]) ).
thf(zip_derived_cl6895,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( unit = e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1150,zip_derived_cl1516]) ).
thf('234',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( unit != e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6895]) ).
thf(zip_derived_cl375_394,plain,
( ( ( op @ e3 @ e3 )
= e4 )
<= ( ( op @ e3 @ e3 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1127_395,plain,
( ( ( op @ e4 @ e3 )
= e4 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl26]) ).
thf(zip_derived_cl146,plain,
( ( op @ e3 @ e3 )
!= ( op @ e4 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6490,plain,
( ( ( op @ e3 @ e3 )
!= e4 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1127,zip_derived_cl146]) ).
thf(zip_derived_cl6656,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e3 )
= e4 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl6490]) ).
thf('235',plain,
( ( ( op @ e3 @ e3 )
!= e4 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6656]) ).
thf(zip_derived_cl201,plain,
( ( ( op @ e3 @ e4 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e4 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('236',plain,
( ( ( op @ e3 @ e3 )
!= e4 )
| ( ( op @ e3 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl201]) ).
thf(zip_derived_cl1151_396,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl28]) ).
thf(zip_derived_cl379_397,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl101_398,plain,
( ( op @ e3 @ e1 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1623,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl101]) ).
thf(zip_derived_cl6971,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1151,zip_derived_cl1623]) ).
thf('237',plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6971]) ).
thf(zip_derived_cl379_399,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl469_400,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl28_401,plain,
( ( op @ e3 @ unit )
= e3 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1153,plain,
( ( ( op @ e3 @ e3 )
= e3 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl28]) ).
thf(zip_derived_cl98_402,plain,
( ( op @ e3 @ e2 )
!= ( op @ e3 @ e3 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl7062,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1153,zip_derived_cl98]) ).
thf(zip_derived_cl7426,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl7062]) ).
thf('238',plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7426]) ).
thf(zip_derived_cl389_403,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1624_404,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl104]) ).
thf(zip_derived_cl2633,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( ( op @ e3 @ e0 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl1624]) ).
thf('239',plain,
( ( ( op @ e3 @ e0 )
!= e3 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2633]) ).
thf(zip_derived_cl384_405,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( ( op @ e3 @ e1 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1623_406,plain,
( ( ( op @ e3 @ e1 )
!= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl101]) ).
thf(zip_derived_cl2612,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e2 )
= e3 )
& ( ( op @ e3 @ e1 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl1623]) ).
thf('240',plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ( ( op @ e3 @ e1 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2612]) ).
thf(zip_derived_cl379_407,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1514_408,plain,
( ( ( op @ e3 @ e2 )
!= e3 )
<= ( ( op @ e3 @ e4 )
= e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl369,zip_derived_cl97]) ).
thf(zip_derived_cl2360,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e4 )
= e3 )
& ( ( op @ e3 @ e2 )
= e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl1514]) ).
thf('241',plain,
( ( ( op @ e3 @ e4 )
!= e3 )
| ( ( op @ e3 @ e2 )
!= e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2360]) ).
thf(zip_derived_cl379_409,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( ( op @ e3 @ e2 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl376_410,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1625,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e3 @ e2 )
= e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl379,zip_derived_cl376]) ).
thf(zip_derived_cl193_411,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('242',plain,
( ( ( op @ e3 @ e2 )
!= e3 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1625,zip_derived_cl193]) ).
thf(zip_derived_cl45,plain,
( ( ( op @ e4 @ e4 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('243',plain,
( ( ( op @ e4 @ e2 )
= e0 )
| ( ( op @ e4 @ e1 )
= e0 )
| ( ( op @ e4 @ e0 )
= e0 )
| ( ( op @ e4 @ e3 )
= e0 )
| ( ( op @ e4 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1152_412,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl28]) ).
thf(zip_derived_cl378_413,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( ( op @ e3 @ e2 )
= e2 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7006,plain,
( ( e3 = e2 )
<= ( ( ( op @ e3 @ e2 )
= e2 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl378]) ).
thf(zip_derived_cl188_414,plain,
e2 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('244',plain,
( ( unit != e2 )
| ( ( op @ e3 @ e2 )
!= e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7006,zip_derived_cl188]) ).
thf(zip_derived_cl1152_415,plain,
( ( ( op @ e3 @ e2 )
= e3 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl28]) ).
thf(zip_derived_cl377_416,plain,
( ( ( op @ e3 @ e2 )
= e1 )
<= ( ( op @ e3 @ e2 )
= e1 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7005,plain,
( ( e3 = e1 )
<= ( ( ( op @ e3 @ e2 )
= e1 )
& ( unit = e2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl377]) ).
thf(zip_derived_cl190_417,plain,
e1 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('245',plain,
( ( ( op @ e3 @ e2 )
!= e1 )
| ( unit != e2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7005,zip_derived_cl190]) ).
thf(zip_derived_cl380_418,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1126_419,plain,
( ( ( op @ e4 @ e2 )
= e4 )
<= ( unit = e2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl26]) ).
thf(zip_derived_cl156_420,plain,
( ( op @ e3 @ e2 )
!= ( op @ e4 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6428,plain,
( ( ( op @ e3 @ e2 )
!= e4 )
<= ( unit = e2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1126,zip_derived_cl156]) ).
thf(zip_derived_cl6543,plain,
( ( e4 != e4 )
<= ( ( ( op @ e3 @ e2 )
= e4 )
& ( unit = e2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl6428]) ).
thf('246',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( unit != e2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6543]) ).
thf('247',plain,
( ( ( op @ e3 @ e2 )
= e2 )
| ( ( op @ e3 @ e2 )
= e1 )
| ( ( op @ e3 @ e2 )
= e3 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl218,plain,
( ( ( op @ e0 @ e2 )
= e0 )
| ( ( op @ e0 @ e0 )
!= e2 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('248',plain,
( ( ( op @ e0 @ e0 )
!= e2 )
| ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl218]) ).
thf(zip_derived_cl469_421,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl31_422,plain,
( ( op @ unit @ e2 )
= e2 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1206,plain,
( ( ( op @ e3 @ e2 )
= e2 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl31]) ).
thf(zip_derived_cl376_423,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl7916,plain,
( ( e2 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1206,zip_derived_cl376]) ).
thf(zip_derived_cl194_424,plain,
e0 != e2,
inference(cnf,[status(esa)],[ax5]) ).
thf('249',plain,
( ( ( op @ e3 @ e2 )
!= e0 )
| ( unit != e3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7916,zip_derived_cl194]) ).
thf(zip_derived_cl451_425,plain,
( ( ( op @ e0 @ e2 )
= e0 )
<= ( ( op @ e0 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl376_426,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl163,plain,
( ( op @ e0 @ e2 )
!= ( op @ e3 @ e2 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2743,plain,
( ( ( op @ e0 @ e2 )
!= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl163]) ).
thf(zip_derived_cl4427,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e0 @ e2 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl2743]) ).
thf('250',plain,
( ( ( op @ e0 @ e2 )
!= e0 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4427]) ).
thf(zip_derived_cl380_427,plain,
( ( ( op @ e3 @ e2 )
= e4 )
<= ( ( op @ e3 @ e2 )
= e4 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl376_428,plain,
( ( ( op @ e3 @ e2 )
= e0 )
<= ( ( op @ e3 @ e2 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1636,plain,
( ( e4 = e0 )
<= ( ( ( op @ e3 @ e2 )
= e0 )
& ( ( op @ e3 @ e2 )
= e4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl380,zip_derived_cl376]) ).
thf(zip_derived_cl192_429,plain,
e0 != e4,
inference(cnf,[status(esa)],[ax5]) ).
thf('251',plain,
( ( ( op @ e3 @ e2 )
!= e4 )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1636,zip_derived_cl192]) ).
thf('252',plain,
( ( ( op @ e2 @ e3 )
!= e4 )
| ( e1
!= ( op @ ( op @ e3 @ e2 ) @ ( op @ e3 @ e2 ) ) )
| ( ( op @ e3 @ e2 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl246]) ).
thf(zip_derived_cl205,plain,
( ( ( op @ e3 @ e0 )
= e3 )
| ( ( op @ e3 @ e3 )
!= e0 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf('253',plain,
( ( ( op @ e3 @ e3 )
!= e0 )
| ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl1233_430,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl35]) ).
thf(zip_derived_cl386_431,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl180_432,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl3342,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( ( op @ e3 @ e0 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl180]) ).
thf(zip_derived_cl9016,plain,
( ( e0 != e0 )
<= ( ( ( op @ e3 @ e0 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1233,zip_derived_cl3342]) ).
thf('254',plain,
( ( unit != e1 )
| ( ( op @ e3 @ e0 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9016]) ).
thf(zip_derived_cl389_433,plain,
( ( ( op @ e3 @ e0 )
= e3 )
<= ( ( op @ e3 @ e0 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1151_434,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl28]) ).
thf(zip_derived_cl105_435,plain,
( ( op @ e3 @ e0 )
!= ( op @ e3 @ e1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl6941,plain,
( ( ( op @ e3 @ e0 )
!= e3 )
<= ( unit = e1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1151,zip_derived_cl105]) ).
thf(zip_derived_cl7291,plain,
( ( e3 != e3 )
<= ( ( ( op @ e3 @ e0 )
= e3 )
& ( unit = e1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl6941]) ).
thf('255',plain,
( ( ( op @ e3 @ e0 )
!= e3 )
| ( unit != e1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7291]) ).
thf(zip_derived_cl1151_436,plain,
( ( ( op @ e3 @ e1 )
= e3 )
<= ( unit = e1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl28]) ).
thf(zip_derived_cl381_437,plain,
( ( ( op @ e3 @ e1 )
= e0 )
<= ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl6945,plain,
( ( e3 = e0 )
<= ( ( ( op @ e3 @ e1 )
= e0 )
& ( unit = e1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1151,zip_derived_cl381]) ).
thf(zip_derived_cl193_438,plain,
e0 != e3,
inference(cnf,[status(esa)],[ax5]) ).
thf('256',plain,
( ( ( op @ e3 @ e1 )
!= e0 )
| ( unit != e1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6945,zip_derived_cl193]) ).
thf(zip_derived_cl55,plain,
( ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 )
| ( ( op @ e3 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('257',plain,
( ( ( op @ e3 @ e0 )
= e0 )
| ( ( op @ e3 @ e3 )
= e0 )
| ( ( op @ e3 @ e4 )
= e0 )
| ( ( op @ e3 @ e2 )
= e0 )
| ( ( op @ e3 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf('258',plain,
( ( unit = e3 )
| ( unit = e1 )
| ( unit = e4 )
| ( unit = e0 )
| ( unit = e2 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl436_439,plain,
( ( ( op @ e1 @ e0 )
= e0 )
<= ( ( op @ e1 @ e0 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl469_440,plain,
( ( unit = e3 )
<= ( unit = e3 ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl35_441,plain,
( ( op @ unit @ e0 )
= e0 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1235,plain,
( ( ( op @ e3 @ e0 )
= e0 )
<= ( unit = e3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl35]) ).
thf(zip_derived_cl180_442,plain,
( ( op @ e1 @ e0 )
!= ( op @ e3 @ e0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl9113,plain,
( ( ( op @ e1 @ e0 )
!= e0 )
<= ( unit = e3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1235,zip_derived_cl180]) ).
thf(zip_derived_cl9512,plain,
( ( e0 != e0 )
<= ( ( ( op @ e1 @ e0 )
= e0 )
& ( unit = e3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl9113]) ).
thf('259',plain,
( ( ( op @ e1 @ e0 )
!= e0 )
| ( unit != e3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9512]) ).
thf(zip_derived_cl75,plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf('260',plain,
( ( ( op @ e1 @ e4 )
= e0 )
| ( ( op @ e1 @ e0 )
= e0 )
| ( ( op @ e1 @ e2 )
= e0 )
| ( ( op @ e1 @ e3 )
= e0 )
| ( ( op @ e1 @ e1 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl416_443,plain,
( ( ( op @ e1 @ e4 )
= e0 )
<= ( ( op @ e1 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl391_444,plain,
( ( ( op @ e2 @ e4 )
= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl141_445,plain,
( ( op @ e1 @ e4 )
!= ( op @ e2 @ e4 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1908,plain,
( ( ( op @ e1 @ e4 )
!= e0 )
<= ( ( op @ e2 @ e4 )
= e0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl141]) ).
thf(zip_derived_cl3156,plain,
( ( e0 != e0 )
<= ( ( ( op @ e2 @ e4 )
= e0 )
& ( ( op @ e1 @ e4 )
= e0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl1908]) ).
thf('261',plain,
( ( ( op @ e2 @ e4 )
!= e0 )
| ( ( op @ e1 @ e4 )
!= e0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3156]) ).
thf('262',plain,
( ( ( op @ e2 @ e4 )
= e1 )
| ( ( op @ e2 @ e4 )
= e0 )
| ( ( op @ e2 @ e4 )
= e4 )
| ( ( op @ e2 @ e4 )
= e2 )
| ( ( op @ e2 @ e4 )
= e3 ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf('263',plain,
( ( ( op @ e2 @ e4 )
!= e1 )
| ( e3
!= ( op @ ( op @ e4 @ e2 ) @ ( op @ e4 @ e2 ) ) )
| ( ( op @ e4 @ e2 )
!= e0 ) ),
inference(split,[status(esa)],[zip_derived_cl295]) ).
thf(zip_derived_cl11313,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG097+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xG6I8JjfKD true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 05:24:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.30/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.30/0.80 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.38/0.81 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 11.77/2.34 % Solved by fo/fo1_av.sh.
% 11.77/2.34 % done 7987 iterations in 1.513s
% 11.77/2.34 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.77/2.34 % SZS output start Refutation
% See solution above
% 11.77/2.35
% 11.77/2.35
% 11.77/2.35 % Terminating...
% 12.64/2.45 % Runner terminated.
% 12.64/2.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------