TSTP Solution File: ALG107+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG107+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vUFztjZbJM true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:51 EDT 2023
% Result : Theorem 11.44s 2.23s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 56
% Syntax : Number of formulae : 798 ( 408 unt; 30 typ; 0 def)
% Number of atoms : 2309 (2167 equ; 0 cnn)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7194 ( 512 ~;1124 |; 409 &;5141 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e23_type,type,
e23: $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(h3_type,type,
h3: $i > $i ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(e10_type,type,
e10: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(ax2,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) )
& ( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) )
& ( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) )
& ( ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) )
& ( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) )
& ( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) )
& ( ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e11 ) )
& ( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e11 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl22,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(ax5,axiom,
( ( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e10 @ e13 )
!= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ) ) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) @ ( op1 @ e12 @ e12 ) ) )
& ( e11
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) )
& ( e10
= ( op1 @ e12 @ e12 ) ) ) ).
thf(zip_derived_cl256,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1325,plain,
( e10
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl256]) ).
thf(zip_derived_cl1869,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22,zip_derived_cl1325]) ).
thf(co1,conjecture,
( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl712,plain,
( ( ( h2 @ e11 )
!= e23 )
| ( ( h2 @ e13 )
!= e22 )
| ( ( h2 @ e12 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
( ( ( h2 @ e13 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e11 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e12 )
= e21 ) ) ).
thf(zip_derived_cl265,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl266,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1558,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( h2 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl266]) ).
thf(ax4,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) )
& ( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) )
& ( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 ) )
& ( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) )
& ( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) )
& ( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) )
& ( ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e21 ) )
& ( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl87,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl266_001,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ e22 @ e22 ) ) )
& ( e21
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( e20
= ( op2 @ e22 @ e22 ) ) ) ).
thf(zip_derived_cl257,plain,
( e23
= ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl259,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl258,plain,
( e21
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl259_002,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1526,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl259_003,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1777,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl2687,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e22 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( e23 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl266,zip_derived_cl1777]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(ax6,axiom,
( ( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e22 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e21 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ) ) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl259_004,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1599,plain,
( ( op2 @ e21 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl259]) ).
thf(zip_derived_cl2688,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2687,zip_derived_cl201,zip_derived_cl1599]) ).
thf(zip_derived_cl68,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e11 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl274,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2440,plain,
( ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl274]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1526_005,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl1527,plain,
( e21
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl1526]) ).
thf(zip_derived_cl2441,plain,
( ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2440,zip_derived_cl1527]) ).
thf(zip_derived_cl2695,plain,
( ( e20 = e21 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2688,zip_derived_cl2441]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2697,plain,
( ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2695,zip_derived_cl203]) ).
thf(ax11,axiom,
( ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
= e23 ) )
| ( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_4
=> ( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 ) ) ) ).
thf(zip_derived_cl237,plain,
( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1526_006,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl1777_007,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e11 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e12 )
= e20 ) ) ).
thf(zip_derived_cl262,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2708,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( e21 = e22 )
| ( e23 = e22 )
| ( ( h1 @ e10 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl1526,zip_derived_cl1777,zip_derived_cl262]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2709,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2708,zip_derived_cl198,zip_derived_cl200]) ).
thf(zf_stmt_2,type,
zip_tseitin_7: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_6: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= e20 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_5: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= e23 )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= e22 )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= e20 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_4: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ) ).
thf(zip_derived_cl253,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl246,plain,
( ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= e22 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl259_008,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1450,plain,
( ( ( op2 @ e22 @ e20 )
= e22 )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl259]) ).
thf(zip_derived_cl1526_009,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl1530,plain,
( ( e21 = e22 )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl1450,zip_derived_cl1526]) ).
thf(zip_derived_cl200_010,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1531,plain,
~ zip_tseitin_6,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1530,zip_derived_cl200]) ).
thf(zip_derived_cl1533,plain,
( zip_tseitin_7
| zip_tseitin_5
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl1531]) ).
thf(zip_derived_cl252,plain,
( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1554,plain,
( zip_tseitin_4
| zip_tseitin_5
| ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl252]) ).
thf(zip_derived_cl2711,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( h1 @ e10 )
= e22 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2709,zip_derived_cl1554]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl259_011,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1616,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl259]) ).
thf(zip_derived_cl2716,plain,
( ( ( h1 @ e10 )
= e22 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2711,zip_derived_cl1616]) ).
thf(ax3,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl51,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl186,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1526_012,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl1665,plain,
( e21
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl1526]) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1777_013,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl1780,plain,
( e23
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl1777]) ).
thf(zip_derived_cl2293,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51,zip_derived_cl1665,zip_derived_cl1780]) ).
thf(zip_derived_cl1554_014,plain,
( zip_tseitin_4
| zip_tseitin_5
| ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl252]) ).
thf(zip_derived_cl2295,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2293,zip_derived_cl1554]) ).
thf(zip_derived_cl1616_015,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl259]) ).
thf(zip_derived_cl2300,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| zip_tseitin_5
| zip_tseitin_4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2295,zip_derived_cl1616]) ).
thf(zip_derived_cl1554_016,plain,
( zip_tseitin_4
| zip_tseitin_5
| ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1533,zip_derived_cl252]) ).
thf(zip_derived_cl2328,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| zip_tseitin_4
| zip_tseitin_5
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2300,zip_derived_cl1554]) ).
thf(zip_derived_cl2333,plain,
( zip_tseitin_5
| zip_tseitin_4
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2328]) ).
thf(zip_derived_cl262_017,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2339,plain,
( ( ( h1 @ e10 )
= e20 )
| zip_tseitin_4
| zip_tseitin_5 ),
inference('sup+',[status(thm)],[zip_derived_cl2333,zip_derived_cl262]) ).
thf(zip_derived_cl2730,plain,
( ( e22 = e20 )
| zip_tseitin_4
| zip_tseitin_5
| zip_tseitin_5
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2716,zip_derived_cl2339]) ).
thf(zip_derived_cl2732,plain,
( zip_tseitin_5
| zip_tseitin_4
| ( e22 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2730]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2733,plain,
( zip_tseitin_5
| zip_tseitin_4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2732,zip_derived_cl202]) ).
thf(zip_derived_cl244,plain,
( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= e20 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1777_018,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl1781,plain,
( ( ( op2 @ e20 @ e23 )
= e20 )
| ~ zip_tseitin_5 ),
inference(demod,[status(thm)],[zip_derived_cl244,zip_derived_cl1777]) ).
thf(zip_derived_cl2737,plain,
( zip_tseitin_4
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2733,zip_derived_cl1781]) ).
thf(zip_derived_cl2688_019,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2687,zip_derived_cl201,zip_derived_cl1599]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2689,plain,
( ( ( op2 @ e20 @ e23 )
!= e20 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2688,zip_derived_cl173]) ).
thf(zip_derived_cl2786,plain,
( ( e20 != e20 )
| zip_tseitin_4
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2737,zip_derived_cl2689]) ).
thf(zip_derived_cl2788,plain,
( ( ( h2 @ e10 )
= e20 )
| zip_tseitin_4 ),
inference(simplify,[status(thm)],[zip_derived_cl2786]) ).
thf(zip_derived_cl1558_020,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( h2 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl266]) ).
thf(zip_derived_cl2824,plain,
( ( ( h2 @ e11 )
= ( op2 @ e21 @ e20 ) )
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2788,zip_derived_cl1558]) ).
thf(zip_derived_cl1777_021,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl2830,plain,
( ( ( h2 @ e11 )
= e23 )
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl2824,zip_derived_cl1777]) ).
thf(zip_derived_cl2733_022,plain,
( zip_tseitin_5
| zip_tseitin_4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2732,zip_derived_cl202]) ).
thf(zip_derived_cl243,plain,
( ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= e21 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl266_023,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1449,plain,
( ( ( op2 @ e21 @ ( h2 @ e10 ) )
= e21 )
| ~ zip_tseitin_5 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl266]) ).
thf(zip_derived_cl2736,plain,
( zip_tseitin_4
| ( ( op2 @ e21 @ ( h2 @ e10 ) )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2733,zip_derived_cl1449]) ).
thf(zip_derived_cl1558_024,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( h2 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl266]) ).
thf(zip_derived_cl2779,plain,
( ( ( h2 @ e11 )
= e21 )
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2736,zip_derived_cl1558]) ).
thf(zip_derived_cl2833,plain,
( ( e23 = e21 )
| zip_tseitin_4
| zip_tseitin_4 ),
inference('sup+',[status(thm)],[zip_derived_cl2830,zip_derived_cl2779]) ).
thf(zip_derived_cl2834,plain,
( zip_tseitin_4
| ( e23 = e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2833]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2835,plain,
zip_tseitin_4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2834,zip_derived_cl199]) ).
thf(zip_derived_cl2836,plain,
( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl2835]) ).
thf(zip_derived_cl3568,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( h4 @ e10 )
= e21 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2697,zip_derived_cl2836]) ).
thf(zip_derived_cl86,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e21 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl266_025,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2676,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl266]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl259_026,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1482,plain,
( ( op2 @ e22 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl259]) ).
thf(zip_derived_cl2677,plain,
( ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2676,zip_derived_cl1482]) ).
thf(zip_derived_cl3617,plain,
( ( e23 = e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( h4 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3568,zip_derived_cl2677]) ).
thf(zip_derived_cl3626,plain,
( ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( h4 @ e10 )
= e21 )
| ( ( h2 @ e10 )
= e20 )
| ( e23 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3617]) ).
thf(zip_derived_cl201_027,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl262_028,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1580,plain,
( ( h1 @ e10 )
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl262]) ).
thf(zip_derived_cl94,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( op2 @ e21 @ e20 )
= e20 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1777_029,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl262_030,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2761,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( e23 = e20 )
| ( ( h1 @ e10 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl1777,zip_derived_cl262]) ).
thf(zip_derived_cl201_031,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2762,plain,
( ( ( op2 @ e23 @ e20 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2761,zip_derived_cl201]) ).
thf(zip_derived_cl1526_032,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl2763,plain,
( ( e21 = e20 )
| ( ( h1 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2762,zip_derived_cl1526]) ).
thf(zip_derived_cl203_033,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2764,plain,
( ( ( h1 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2763,zip_derived_cl203]) ).
thf(zip_derived_cl2709_034,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2708,zip_derived_cl198,zip_derived_cl200]) ).
thf(zip_derived_cl2869,plain,
( ( e20 = e22 )
| ( ( h1 @ e10 )
= e20 )
| ( ( h1 @ e10 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2764,zip_derived_cl2709]) ).
thf(zip_derived_cl202_035,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2871,plain,
( ( ( h1 @ e10 )
= e20 )
| ( ( h1 @ e10 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2869,zip_derived_cl202]) ).
thf(zip_derived_cl240,plain,
( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= e20 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl262_036,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1430,plain,
( ( ( op2 @ e20 @ ( h1 @ e10 ) )
= e20 )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl262]) ).
thf(zip_derived_cl2835_037,plain,
zip_tseitin_4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2834,zip_derived_cl199]) ).
thf(zip_derived_cl2839,plain,
( ( op2 @ e20 @ ( h1 @ e10 ) )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1430,zip_derived_cl2835]) ).
thf(zip_derived_cl2875,plain,
( ( ( op2 @ e20 @ e22 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2871,zip_derived_cl2839]) ).
thf(zip_derived_cl1616_038,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl259]) ).
thf(zip_derived_cl2878,plain,
( ( h1 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2875,zip_derived_cl1616]) ).
thf(zip_derived_cl2882,plain,
( e20
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1580,zip_derived_cl2878]) ).
thf(zip_derived_cl3627,plain,
( ( ( h4 @ e10 )
= e21 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3626,zip_derived_cl201,zip_derived_cl2882]) ).
thf(zip_derived_cl61,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1616_039,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl259]) ).
thf(zip_derived_cl2366,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61,zip_derived_cl1616]) ).
thf(zip_derived_cl238,plain,
( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2835_040,plain,
zip_tseitin_4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2834,zip_derived_cl199]) ).
thf(zip_derived_cl2837,plain,
( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl2835]) ).
thf(zip_derived_cl3097,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2366,zip_derived_cl2837]) ).
thf(zip_derived_cl259_041,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl3100,plain,
( ( e20 = e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl3097,zip_derived_cl259]) ).
thf(zip_derived_cl202_042,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl3101,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3100,zip_derived_cl202]) ).
thf(zip_derived_cl49,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl259_043,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1598,plain,
( e20
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl259]) ).
thf(zip_derived_cl2242,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl49,zip_derived_cl1598]) ).
thf(zip_derived_cl148,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2709_044,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2708,zip_derived_cl198,zip_derived_cl200]) ).
thf(zip_derived_cl2878_045,plain,
( ( h1 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2875,zip_derived_cl1616]) ).
thf(zip_derived_cl2887,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( e20 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2709,zip_derived_cl2878]) ).
thf(zip_derived_cl202_046,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2888,plain,
( ( op2 @ e23 @ e20 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2887,zip_derived_cl202]) ).
thf(zip_derived_cl2914,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl2888]) ).
thf(zip_derived_cl2926,plain,
( ( e22 != e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2242,zip_derived_cl2914]) ).
thf(zip_derived_cl2932,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2926]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl3134,plain,
( ( ( op2 @ e20 @ e22 )
!= e23 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2932,zip_derived_cl177]) ).
thf(zip_derived_cl3320,plain,
( ( e23 != e23 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3101,zip_derived_cl3134]) ).
thf(zip_derived_cl3322,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3320]) ).
thf(zip_derived_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl274_047,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1448,plain,
( ( op2 @ e23 @ e22 )
!= ( h4 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl274]) ).
thf(zip_derived_cl3344,plain,
( ( e21
!= ( h4 @ e10 ) )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3322,zip_derived_cl1448]) ).
thf(zip_derived_cl3638,plain,
( ( e21 != e21 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3627,zip_derived_cl3344]) ).
thf(zip_derived_cl3640,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( h2 @ e10 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3638]) ).
thf(zip_derived_cl89,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl262_048,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2700,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl262]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl262_049,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1669,plain,
( ( h1 @ e10 )
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl262]) ).
thf(zip_derived_cl1777_050,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl1784,plain,
( ( h1 @ e10 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1669,zip_derived_cl1777]) ).
thf(zip_derived_cl2701,plain,
( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2700,zip_derived_cl1784]) ).
thf(zip_derived_cl3673,plain,
( ( e21 = e23 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3640,zip_derived_cl2701]) ).
thf(zip_derived_cl199_051,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl3677,plain,
( ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3673,zip_derived_cl199]) ).
thf(zip_derived_cl3640_052,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( h2 @ e10 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3638]) ).
thf(zip_derived_cl2837_053,plain,
( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl2835]) ).
thf(zip_derived_cl3674,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3640,zip_derived_cl2837]) ).
thf(zip_derived_cl52,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl259_054,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1471,plain,
( e20
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl259]) ).
thf(zip_derived_cl1527_055,plain,
( e21
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl1526]) ).
thf(zip_derived_cl2301,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl52,zip_derived_cl1471,zip_derived_cl1527]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2302,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2301,zip_derived_cl151]) ).
thf(zip_derived_cl3685,plain,
( ( e22 != e22 )
| ( ( h2 @ e10 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3674,zip_derived_cl2302]) ).
thf(zip_derived_cl3689,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( h2 @ e10 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3685]) ).
thf(zip_derived_cl172,plain,
( ( op2 @ e20 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl3722,plain,
( ( ( op2 @ e20 @ e23 )
!= e23 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3689,zip_derived_cl172]) ).
thf(zip_derived_cl4820,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( h2 @ e10 )
= e20 ) ),
inference(clc,[status(thm)],[zip_derived_cl3677,zip_derived_cl3722]) ).
thf(zip_derived_cl239,plain,
( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2835_056,plain,
zip_tseitin_4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2834,zip_derived_cl199]) ).
thf(zip_derived_cl2838,plain,
( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl2835]) ).
thf(zip_derived_cl4824,plain,
( ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4820,zip_derived_cl2838]) ).
thf(zip_derived_cl2688_057,plain,
( ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2687,zip_derived_cl201,zip_derived_cl1599]) ).
thf(zip_derived_cl4907,plain,
( ( e21 = e20 )
| ( ( h2 @ e10 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4824,zip_derived_cl2688]) ).
thf(zip_derived_cl4912,plain,
( ( ( h2 @ e10 )
= e20 )
| ( e21 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4907]) ).
thf(zip_derived_cl203_058,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4913,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl1777_059,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl4919,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl264,plain,
( ( h2 @ e13 )
= ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl266_060,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1558_061,plain,
( ( h2 @ e11 )
= ( op2 @ e21 @ ( h2 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl266]) ).
thf(zip_derived_cl266_062,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1820,plain,
( ( h2 @ e13 )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl266,zip_derived_cl1558,zip_derived_cl266]) ).
thf(zip_derived_cl4913_063,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4924,plain,
( ( h2 @ e13 )
= ( op2 @ ( h2 @ e11 ) @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1820,zip_derived_cl4913]) ).
thf(zip_derived_cl4919_064,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl2888_065,plain,
( ( op2 @ e23 @ e20 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2887,zip_derived_cl202]) ).
thf(zip_derived_cl5220,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl267,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl4913_066,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl5220_067,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl5220_068,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl259_069,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl5220_070,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl267_071,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl3101_072,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3100,zip_derived_cl202]) ).
thf(zip_derived_cl2837_073,plain,
( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl2835]) ).
thf(zip_derived_cl3240,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3101,zip_derived_cl2837]) ).
thf(zip_derived_cl64,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl274_074,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2392,plain,
( ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl274]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1777_075,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl1778,plain,
( e23
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl1777]) ).
thf(zip_derived_cl2393,plain,
( ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2392,zip_derived_cl1778]) ).
thf(zip_derived_cl3260,plain,
( ( e22 = e23 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3240,zip_derived_cl2393]) ).
thf(zip_derived_cl198_076,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl3262,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3260,zip_derived_cl198]) ).
thf(zip_derived_cl3101_077,plain,
( ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3100,zip_derived_cl202]) ).
thf(zip_derived_cl162,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl3235,plain,
( ( e23
!= ( op2 @ e20 @ e23 ) )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3101,zip_derived_cl162]) ).
thf(zip_derived_cl4575,plain,
( ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3262,zip_derived_cl3235]) ).
thf(zip_derived_cl2837_078,plain,
( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl2835]) ).
thf(zip_derived_cl4581,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4575,zip_derived_cl2837]) ).
thf(zip_derived_cl71,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl274_079,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2482,plain,
( ( ( h4 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e22 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl274]) ).
thf(zip_derived_cl1598_080,plain,
( e20
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl259]) ).
thf(zip_derived_cl2483,plain,
( ( ( h4 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2482,zip_derived_cl1598]) ).
thf(zip_derived_cl2888_081,plain,
( ( op2 @ e23 @ e20 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2887,zip_derived_cl202]) ).
thf(zip_derived_cl2921,plain,
( ( ( h4 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 )
| ( e22 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2483,zip_derived_cl2888]) ).
thf(zip_derived_cl202_082,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2922,plain,
( ( ( h4 @ e10 )
= e20 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2921,zip_derived_cl202]) ).
thf(zip_derived_cl181,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl266_083,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1629,plain,
( ( h2 @ e10 )
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl266]) ).
thf(zip_derived_cl2959,plain,
( ( ( h2 @ e10 )
!= e20 )
| ( ( h4 @ e10 )
= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2922,zip_derived_cl1629]) ).
thf(zip_derived_cl4913_084,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4938,plain,
( ( e20 != e20 )
| ( ( h4 @ e10 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2959,zip_derived_cl4913]) ).
thf(zip_derived_cl4939,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl5022,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl4581,zip_derived_cl4939]) ).
thf(zip_derived_cl201_085,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5023,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5022,zip_derived_cl201]) ).
thf(zip_derived_cl5220_086,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl4919_087,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl4581_088,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4575,zip_derived_cl2837]) ).
thf(zip_derived_cl2302_089,plain,
( ( ( op2 @ e22 @ e21 )
!= e22 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2301,zip_derived_cl151]) ).
thf(zip_derived_cl4592,plain,
( ( e22 != e22 )
| ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4581,zip_derived_cl2302]) ).
thf(zip_derived_cl4598,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4592]) ).
thf(zip_derived_cl4939_090,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl5026,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl4598,zip_derived_cl4939]) ).
thf(zip_derived_cl201_091,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5027,plain,
( ( op2 @ e22 @ e23 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5026,zip_derived_cl201]) ).
thf(zip_derived_cl42,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl255,plain,
( e11
= ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl256_092,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1490,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl254,plain,
( e13
= ( op1 @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl256_093,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1490_094,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl256_095,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1724,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl2152,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( e11 = e12 )
| ( e13 = e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl1490,zip_derived_cl1724]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2153,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2152,zip_derived_cl192,zip_derived_cl194]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1724_096,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl2224,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( e13 = e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl1724]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2225,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2224,zip_derived_cl195]) ).
thf(zip_derived_cl1490_097,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl2226,plain,
( ( e11 = e10 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2225,zip_derived_cl1490]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2227,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2226,zip_derived_cl197]) ).
thf(zip_derived_cl2153_098,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2152,zip_derived_cl192,zip_derived_cl194]) ).
thf(zip_derived_cl2261,plain,
( ( e10 = e12 )
| ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2227,zip_derived_cl2153]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2264,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2261,zip_derived_cl196]) ).
thf(ax10,axiom,
( ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
= e13 ) )
| ( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 ) ) ) ).
thf(zf_stmt_10,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= e13 )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ) ) ) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl39,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1724_099,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl2124,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e12 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| ( e13 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl1724]) ).
thf(zip_derived_cl195_100,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl128,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl256_101,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1401,plain,
( ( op1 @ e11 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl128,zip_derived_cl256]) ).
thf(zip_derived_cl2125,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2124,zip_derived_cl195,zip_derived_cl1401]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl3,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zf_stmt_11,type,
zip_tseitin_3: $o ).
thf(zf_stmt_12,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= e13 )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_2: $o ).
thf(zf_stmt_14,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
= e13 )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= e10 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_1: $o ).
thf(zf_stmt_16,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= e12 )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= e10 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_0: $o ).
thf(zf_stmt_18,axiom,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ).
thf(zip_derived_cl236,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= e12 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl256_102,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1352,plain,
( ( ( op1 @ e12 @ e10 )
= e12 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl229,zip_derived_cl256]) ).
thf(zip_derived_cl1490_103,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl1499,plain,
( ( e11 = e12 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl1352,zip_derived_cl1490]) ).
thf(zip_derived_cl194_104,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1500,plain,
~ zip_tseitin_2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1499,zip_derived_cl194]) ).
thf(zip_derived_cl1502,plain,
( zip_tseitin_3
| zip_tseitin_1
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl1500]) ).
thf(zip_derived_cl235,plain,
( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl1524,plain,
( zip_tseitin_0
| zip_tseitin_1
| ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl235]) ).
thf(zip_derived_cl1608,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| zip_tseitin_1
| zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1524]) ).
thf(zip_derived_cl138,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1490_105,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl1493,plain,
( e11
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl1490]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl256_106,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1406,plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl256]) ).
thf(zip_derived_cl1609,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e13 @ e10 )
= e13 )
| zip_tseitin_1
| zip_tseitin_0 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1608,zip_derived_cl1493,zip_derived_cl1406]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1671,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| zip_tseitin_0
| zip_tseitin_1
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1609,zip_derived_cl139]) ).
thf(zip_derived_cl1724_107,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl1733,plain,
( ( e13 != e13 )
| zip_tseitin_0
| zip_tseitin_1
| ( ( op1 @ e13 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl1724]) ).
thf(zip_derived_cl1734,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| zip_tseitin_1
| zip_tseitin_0 ),
inference(simplify,[status(thm)],[zip_derived_cl1733]) ).
thf(zip_derived_cl1524_108,plain,
( zip_tseitin_0
| zip_tseitin_1
| ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1502,zip_derived_cl235]) ).
thf(zip_derived_cl1751,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| zip_tseitin_0
| zip_tseitin_1
| zip_tseitin_1
| zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl1734,zip_derived_cl1524]) ).
thf(zip_derived_cl1755,plain,
( zip_tseitin_1
| zip_tseitin_0
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1751]) ).
thf(zip_derived_cl1734_109,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| zip_tseitin_1
| zip_tseitin_0 ),
inference(simplify,[status(thm)],[zip_derived_cl1733]) ).
thf(zip_derived_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1746,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| zip_tseitin_0
| zip_tseitin_1 ),
inference('sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl141]) ).
thf(zip_derived_cl1785,plain,
( zip_tseitin_0
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl1755,zip_derived_cl1746]) ).
thf(zip_derived_cl224,plain,
( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1786,plain,
( zip_tseitin_0
| ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1785,zip_derived_cl224]) ).
thf(zip_derived_cl2133,plain,
( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e10 )
| zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl2125,zip_derived_cl1786]) ).
thf(zip_derived_cl139_110,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1724_111,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl1728,plain,
( e13
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl1724]) ).
thf(zip_derived_cl2138,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| zip_tseitin_0 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2133,zip_derived_cl1728]) ).
thf(zip_derived_cl1785_112,plain,
( zip_tseitin_0
| zip_tseitin_1 ),
inference(clc,[status(thm)],[zip_derived_cl1755,zip_derived_cl1746]) ).
thf(zip_derived_cl226,plain,
( ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl1788,plain,
( zip_tseitin_0
| ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1785,zip_derived_cl226]) ).
thf(zip_derived_cl2635,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| zip_tseitin_0
| zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl2138,zip_derived_cl1788]) ).
thf(zip_derived_cl2637,plain,
( zip_tseitin_0
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2635]) ).
thf(zip_derived_cl1724_113,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl2638,plain,
( ( e13 = e11 )
| zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl2637,zip_derived_cl1724]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2639,plain,
zip_tseitin_0,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2638,zip_derived_cl193]) ).
thf(zip_derived_cl2643,plain,
( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl2639]) ).
thf(zip_derived_cl3006,plain,
( ( ( op1 @ e10 @ e12 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2264,zip_derived_cl2643]) ).
thf(zip_derived_cl1406_114,plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl256]) ).
thf(zip_derived_cl3007,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3006,zip_derived_cl1406]) ).
thf(zip_derived_cl3019,plain,
( ( ( op1 @ e13 @ e10 )
= e12 )
| ( e10 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2153,zip_derived_cl3007]) ).
thf(zip_derived_cl196_115,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3020,plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3019,zip_derived_cl196]) ).
thf(zip_derived_cl267_116,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl5220_117,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl4913_118,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl1526_119,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl267_120,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl5220_121,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl74,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl259_122,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl2531,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( e20 = e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl259]) ).
thf(zip_derived_cl202_123,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2532,plain,
( ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2531,zip_derived_cl202]) ).
thf(zip_derived_cl2914_124,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl2888]) ).
thf(zip_derived_cl2930,plain,
( ( e22 != e22 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2532,zip_derived_cl2914]) ).
thf(zip_derived_cl2933,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2930]) ).
thf(zip_derived_cl4575_125,plain,
( ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3262,zip_derived_cl3235]) ).
thf(zip_derived_cl4939_126,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl5016,plain,
( ( e20 = e23 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl4575,zip_derived_cl4939]) ).
thf(zip_derived_cl201_127,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5017,plain,
( ( op2 @ e20 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5016,zip_derived_cl201]) ).
thf(zip_derived_cl5088,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( e21 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2933,zip_derived_cl5017]) ).
thf(zip_derived_cl200_128,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5089,plain,
( ( op2 @ e21 @ e22 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5088,zip_derived_cl200]) ).
thf(zip_derived_cl256_129,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4913_130,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl267_131,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl267_132,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl266_133,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl4913_134,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4914,plain,
( e20
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl4913]) ).
thf(zip_derived_cl267_135,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl4919_136,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl2838_137,plain,
( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl2835]) ).
thf(zip_derived_cl62,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl4581_138,plain,
( ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4575,zip_derived_cl2837]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl4588,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4581,zip_derived_cl184]) ).
thf(zip_derived_cl4939_139,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl5024,plain,
( ( ( op2 @ e20 @ e21 )
!= e22 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl4588,zip_derived_cl4939]) ).
thf(zip_derived_cl201_140,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5025,plain,
( ( op2 @ e20 @ e21 )
!= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5024,zip_derived_cl201]) ).
thf(zip_derived_cl5051,plain,
( ( e22 != e22 )
| ( ( op2 @ e20 @ e21 )
= e20 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl5025]) ).
thf(zip_derived_cl5052,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5051]) ).
thf(zip_derived_cl2882_141,plain,
( e20
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1580,zip_derived_cl2878]) ).
thf(zip_derived_cl4575_142,plain,
( ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(clc,[status(thm)],[zip_derived_cl3262,zip_derived_cl3235]) ).
thf(zip_derived_cl164,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl4577,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( ( h4 @ e10 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4575,zip_derived_cl164]) ).
thf(zip_derived_cl4939_143,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl5020,plain,
( ( ( op2 @ e20 @ e21 )
!= e21 )
| ( e20 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl4577,zip_derived_cl4939]) ).
thf(zip_derived_cl201_144,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5021,plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5020,zip_derived_cl201]) ).
thf(zip_derived_cl5053,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5052,zip_derived_cl2882,zip_derived_cl5021]) ).
thf(zip_derived_cl5126,plain,
( ( op2 @ e21 @ e23 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl2838,zip_derived_cl5053]) ).
thf(zip_derived_cl1490_145,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl4919_146,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl267_147,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl4913_148,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl1777_149,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl4919_150,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl5220_151,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl72,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl259_152,plain,
( e20
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl2504,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( e20 = e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl259]) ).
thf(zip_derived_cl160,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1777_153,plain,
( e23
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl259,zip_derived_cl1526,zip_derived_cl259]) ).
thf(zip_derived_cl1779,plain,
( e23
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl1777]) ).
thf(zip_derived_cl201_154,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2505,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2504,zip_derived_cl1779,zip_derived_cl201]) ).
thf(zip_derived_cl5017_155,plain,
( ( op2 @ e20 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5016,zip_derived_cl201]) ).
thf(zip_derived_cl5081,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( e21 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl2505,zip_derived_cl5017]) ).
thf(zip_derived_cl199_156,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5082,plain,
( ( op2 @ e23 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5081,zip_derived_cl199]) ).
thf(zip_derived_cl4919_157,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl267_158,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl84,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl266_159,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2623,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( h2 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl266]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1526_160,plain,
( e21
= ( op2 @ e22 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl259]) ).
thf(zip_derived_cl1528,plain,
( e21
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl1526]) ).
thf(zip_derived_cl2624,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( h2 @ e10 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2623,zip_derived_cl1528]) ).
thf(zip_derived_cl4913_161,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4932,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( e20 = e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl2624,zip_derived_cl4913]) ).
thf(zip_derived_cl203_162,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4933,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4932,zip_derived_cl203]) ).
thf(zip_derived_cl5053_163,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5052,zip_derived_cl2882,zip_derived_cl5021]) ).
thf(zip_derived_cl5278,plain,
( ( ( op2 @ e23 @ e21 )
= e21 )
| ( e23 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl4933,zip_derived_cl5053]) ).
thf(zip_derived_cl199_164,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5279,plain,
( ( op2 @ e23 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5278,zip_derived_cl199]) ).
thf(zip_derived_cl4919_165,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl4919_166,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl274_167,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl4939_168,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl4993,plain,
( e20
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl4939]) ).
thf(zip_derived_cl1724_169,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl5220_170,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl4919_171,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl4913_172,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl2888_173,plain,
( ( op2 @ e23 @ e20 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2887,zip_derived_cl202]) ).
thf(zip_derived_cl4913_174,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl5220_175,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl5017_176,plain,
( ( op2 @ e20 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5016,zip_derived_cl201]) ).
thf(zip_derived_cl4913_177,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl267_178,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl5053_179,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5052,zip_derived_cl2882,zip_derived_cl5021]) ).
thf(zip_derived_cl4913_180,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4919_181,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl4598_182,plain,
( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4592]) ).
thf(zip_derived_cl66,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl274_183,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2419,plain,
( ( ( h4 @ e10 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl274]) ).
thf(zip_derived_cl4648,plain,
( ( e23 = e22 )
| ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4598,zip_derived_cl2419]) ).
thf(zip_derived_cl2709_184,plain,
( ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2708,zip_derived_cl198,zip_derived_cl200]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl274_185,plain,
( ( h4 @ e10 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1470,plain,
( ( op2 @ e23 @ e20 )
!= ( h4 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl274]) ).
thf(zip_derived_cl2710,plain,
( ( e22
!= ( h4 @ e10 ) )
| ( ( h1 @ e10 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2709,zip_derived_cl1470]) ).
thf(zip_derived_cl2878_186,plain,
( ( h1 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2875,zip_derived_cl1616]) ).
thf(zip_derived_cl2889,plain,
( ( e22
!= ( h4 @ e10 ) )
| ( e20 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2710,zip_derived_cl2878]) ).
thf(zip_derived_cl202_187,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2890,plain,
( e22
!= ( h4 @ e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2889,zip_derived_cl202]) ).
thf(zip_derived_cl198_188,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl4652,plain,
( ( ( h4 @ e10 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4648,zip_derived_cl2890,zip_derived_cl198]) ).
thf(zip_derived_cl4939_189,plain,
( ( h4 @ e10 )
= e20 ),
inference(simplify,[status(thm)],[zip_derived_cl4938]) ).
thf(zip_derived_cl5126_190,plain,
( ( op2 @ e21 @ e23 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl2838,zip_derived_cl5053]) ).
thf(zip_derived_cl5554,plain,
( ( e20 = e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( e21 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl4652,zip_derived_cl4939,zip_derived_cl5126]) ).
thf(zip_derived_cl200_191,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl201_192,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl5555,plain,
( ( op2 @ e20 @ e23 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5554,zip_derived_cl200,zip_derived_cl201]) ).
thf(zip_derived_cl3007_193,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3006,zip_derived_cl1406]) ).
thf(zip_derived_cl4913_194,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4913_195,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl4913_196,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl262_197,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2878_198,plain,
( ( h1 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2875,zip_derived_cl1616]) ).
thf(zip_derived_cl2879,plain,
( e20
= ( op2 @ e20 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl2878]) ).
thf(zip_derived_cl5999,plain,
( ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( e21 != e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( e20 != e20 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( e23 != e23 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( e22 != e22 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= e22 )
| ( e20 != e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl4919,zip_derived_cl5220,zip_derived_cl267,zip_derived_cl4913,zip_derived_cl5220,zip_derived_cl5220,zip_derived_cl259,zip_derived_cl5220,zip_derived_cl267,zip_derived_cl5023,zip_derived_cl5220,zip_derived_cl4919,zip_derived_cl5027,zip_derived_cl3020,zip_derived_cl267,zip_derived_cl5220,zip_derived_cl4913,zip_derived_cl1526,zip_derived_cl267,zip_derived_cl5220,zip_derived_cl5089,zip_derived_cl256,zip_derived_cl4913,zip_derived_cl267,zip_derived_cl267,zip_derived_cl4914,zip_derived_cl267,zip_derived_cl4919,zip_derived_cl5126,zip_derived_cl1490,zip_derived_cl4919,zip_derived_cl267,zip_derived_cl4913,zip_derived_cl1777,zip_derived_cl4919,zip_derived_cl5220,zip_derived_cl5082,zip_derived_cl4919,zip_derived_cl267,zip_derived_cl5279,zip_derived_cl4919,zip_derived_cl4919,zip_derived_cl4993,zip_derived_cl1724,zip_derived_cl5220,zip_derived_cl4919,zip_derived_cl4913,zip_derived_cl2888,zip_derived_cl4913,zip_derived_cl5220,zip_derived_cl5017,zip_derived_cl4913,zip_derived_cl267,zip_derived_cl5053,zip_derived_cl4913,zip_derived_cl4919,zip_derived_cl5555,zip_derived_cl3007,zip_derived_cl4913,zip_derived_cl4913,zip_derived_cl4913,zip_derived_cl2879]) ).
thf(zip_derived_cl6000,plain,
( ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5999]) ).
thf(zip_derived_cl41,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1724_199,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl1729,plain,
( ( op1 @ e10 @ e10 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl1724]) ).
thf(zip_derived_cl2141,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl41,zip_derived_cl1729]) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl2639_200,plain,
zip_tseitin_0,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2638,zip_derived_cl193]) ).
thf(zip_derived_cl2641,plain,
( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2639]) ).
thf(zip_derived_cl2999,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2141,zip_derived_cl2641]) ).
thf(zip_derived_cl25,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl256_201,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1490_202,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl1929,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( e10 = e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( e11 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl256,zip_derived_cl1490]) ).
thf(zip_derived_cl193_203,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl195_204,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1930,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1929,zip_derived_cl193,zip_derived_cl195]) ).
thf(zip_derived_cl5866,plain,
( ( e12 = e13 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2999,zip_derived_cl1930]) ).
thf(zip_derived_cl192_205,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl5869,plain,
( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5866,zip_derived_cl192]) ).
thf(zip_derived_cl1930_206,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1929,zip_derived_cl193,zip_derived_cl195]) ).
thf(zip_derived_cl124,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1935,plain,
( ( ( op1 @ e10 @ e13 )
!= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1930,zip_derived_cl124]) ).
thf(zip_derived_cl7244,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(clc,[status(thm)],[zip_derived_cl5869,zip_derived_cl1935]) ).
thf(zip_derived_cl43,plain,
( ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2641_207,plain,
( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2639]) ).
thf(zip_derived_cl2997,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl2641]) ).
thf(zip_derived_cl256_208,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl3001,plain,
( ( e10 = e12 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2997,zip_derived_cl256]) ).
thf(zip_derived_cl196_209,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3002,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3001,zip_derived_cl196]) ).
thf(zip_derived_cl3007_210,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3006,zip_derived_cl1406]) ).
thf(zip_derived_cl5929,plain,
( ( e10 = e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3002,zip_derived_cl3007]) ).
thf(zip_derived_cl196_211,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl5930,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5929,zip_derived_cl196]) ).
thf(zip_derived_cl27,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl256_212,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1490_213,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl1957,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( e10 = e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( e11 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl256,zip_derived_cl1490]) ).
thf(zip_derived_cl194_214,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl196_215,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1958,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1957,zip_derived_cl194,zip_derived_cl196]) ).
thf(zip_derived_cl124_216,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1963,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1958,zip_derived_cl124]) ).
thf(zip_derived_cl5935,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5930,zip_derived_cl1963]) ).
thf(zip_derived_cl5944,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5935]) ).
thf(zip_derived_cl7256,plain,
( ( e13 = e12 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7244,zip_derived_cl5944]) ).
thf(zip_derived_cl192_217,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7267,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7256,zip_derived_cl192]) ).
thf(zip_derived_cl222,plain,
( ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl2639_218,plain,
zip_tseitin_0,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2638,zip_derived_cl193]) ).
thf(zip_derived_cl2642,plain,
( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl2639]) ).
thf(zip_derived_cl7309,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7267,zip_derived_cl2642]) ).
thf(zip_derived_cl110,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl7392,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7309,zip_derived_cl110]) ).
thf(zip_derived_cl7244_219,plain,
( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(clc,[status(thm)],[zip_derived_cl5869,zip_derived_cl1935]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1724_220,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl2095,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( e13 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl1724]) ).
thf(zip_derived_cl193_221,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2096,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2095,zip_derived_cl193]) ).
thf(zip_derived_cl13,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1406_222,plain,
( ( op1 @ e10 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl256]) ).
thf(zip_derived_cl1559,plain,
( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl13,zip_derived_cl1406]) ).
thf(zip_derived_cl2641_223,plain,
( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2639]) ).
thf(zip_derived_cl2998,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1559,zip_derived_cl2641]) ).
thf(zip_derived_cl256_224,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl3003,plain,
( ( e10 = e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2998,zip_derived_cl256]) ).
thf(zip_derived_cl196_225,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3004,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3003,zip_derived_cl196]) ).
thf(zip_derived_cl1,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl100,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1322,plain,
( ( ( op1 @ e13 @ e10 )
!= e12 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl100]) ).
thf(zip_derived_cl3020_226,plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3019,zip_derived_cl196]) ).
thf(zip_derived_cl3049,plain,
( ( e12 != e12 )
| ( ( op1 @ e13 @ e12 )
= e10 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1322,zip_derived_cl3020]) ).
thf(zip_derived_cl3050,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3049]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl256_227,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1392,plain,
( e10
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl256]) ).
thf(zip_derived_cl3051,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3050,zip_derived_cl1392]) ).
thf(zip_derived_cl129,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3188,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3051,zip_derived_cl129]) ).
thf(zip_derived_cl3389,plain,
( ( e13 != e13 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3004,zip_derived_cl3188]) ).
thf(zip_derived_cl3391,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3389]) ).
thf(zip_derived_cl127,plain,
( ( op1 @ e11 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3422,plain,
( ( ( op1 @ e11 @ e12 )
!= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3391,zip_derived_cl127]) ).
thf(zip_derived_cl3543,plain,
( ( e11 != e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2096,zip_derived_cl3422]) ).
thf(zip_derived_cl3546,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3543]) ).
thf(zip_derived_cl2096_228,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2095,zip_derived_cl193]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2099,plain,
( ( ( op1 @ e10 @ e12 )
!= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2096,zip_derived_cl131]) ).
thf(zip_derived_cl6838,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(clc,[status(thm)],[zip_derived_cl3546,zip_derived_cl2099]) ).
thf(zip_derived_cl3004_229,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3003,zip_derived_cl196]) ).
thf(zip_derived_cl2641_230,plain,
( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2639]) ).
thf(zip_derived_cl3160,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3004,zip_derived_cl2641]) ).
thf(zip_derived_cl16,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3243,plain,
( ( e12 = e13 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl3160,zip_derived_cl16]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1724_231,plain,
( e13
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl256,zip_derived_cl1490,zip_derived_cl256]) ).
thf(zip_derived_cl1725,plain,
( e13
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl1724]) ).
thf(zip_derived_cl192_232,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl3251,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3243,zip_derived_cl1725,zip_derived_cl192]) ).
thf(zip_derived_cl3004_233,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3003,zip_derived_cl196]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3154,plain,
( ( e13
!= ( op1 @ e10 @ e13 ) )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3004,zip_derived_cl114]) ).
thf(zip_derived_cl6359,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(clc,[status(thm)],[zip_derived_cl3251,zip_derived_cl3154]) ).
thf(zip_derived_cl1869_234,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22,zip_derived_cl1325]) ).
thf(zip_derived_cl6364,plain,
( ( e13 = e10 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6359,zip_derived_cl1869]) ).
thf(zip_derived_cl117,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3007_235,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3006,zip_derived_cl1406]) ).
thf(zip_derived_cl3012,plain,
( e10
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl3007]) ).
thf(zip_derived_cl195_236,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl6374,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6364,zip_derived_cl3012,zip_derived_cl195]) ).
thf(zip_derived_cl6852,plain,
( ( e11 = e10 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6838,zip_derived_cl6374]) ).
thf(zip_derived_cl197_237,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl6858,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6852,zip_derived_cl197]) ).
thf(zip_derived_cl2641_238,plain,
( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2639]) ).
thf(zip_derived_cl6897,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6858,zip_derived_cl2641]) ).
thf(zip_derived_cl7260,plain,
( ( e13 = e12 )
| ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7244,zip_derived_cl6897]) ).
thf(zip_derived_cl192_239,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7271,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7260,zip_derived_cl192]) ).
thf(zip_derived_cl7421,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl5220_240,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl7456,plain,
( ( e22 != e22 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl6000,zip_derived_cl7421,zip_derived_cl5220]) ).
thf(zip_derived_cl7457,plain,
( ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7456]) ).
thf(zip_derived_cl7474,plain,
( ( ( h2 @ e10 )
!= e20 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1869,zip_derived_cl7457]) ).
thf(zip_derived_cl4913_241,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl7480,plain,
( ( e20 != e20 )
| ( ( op1 @ e10 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl7474,zip_derived_cl4913]) ).
thf(zip_derived_cl7481,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7480]) ).
thf(zip_derived_cl3012_242,plain,
( e10
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl3007]) ).
thf(zip_derived_cl7482,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7481,zip_derived_cl3012]) ).
thf(zip_derived_cl2642_243,plain,
( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl2639]) ).
thf(zip_derived_cl7421_244,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7430,plain,
( ( op1 @ e11 @ e13 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl2642,zip_derived_cl7421]) ).
thf(zip_derived_cl4919_245,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl7430_246,plain,
( ( op1 @ e11 @ e13 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl2642,zip_derived_cl7421]) ).
thf(zip_derived_cl7588,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( e23 != e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( e11 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl7482,zip_derived_cl7430,zip_derived_cl4919,zip_derived_cl7430]) ).
thf(zip_derived_cl7589,plain,
( ( e11 = e10 )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7588]) ).
thf(zip_derived_cl197_247,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7590,plain,
( ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7589,zip_derived_cl197]) ).
thf(zip_derived_cl3004_248,plain,
( ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3003,zip_derived_cl196]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3155,plain,
( ( ( op1 @ e10 @ e11 )
!= e13 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3004,zip_derived_cl116]) ).
thf(zip_derived_cl7421_249,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7432,plain,
( ( e13 != e13 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3155,zip_derived_cl7421]) ).
thf(zip_derived_cl7433,plain,
( ( op1 @ e10 @ e12 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl7432]) ).
thf(zip_derived_cl4919_250,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl5930_251,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5929,zip_derived_cl196]) ).
thf(zip_derived_cl7421_252,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7436,plain,
( ( e13 = e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl5930,zip_derived_cl7421]) ).
thf(zip_derived_cl192_253,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7437,plain,
( ( op1 @ e10 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7436,zip_derived_cl192]) ).
thf(zip_derived_cl267_254,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl7667,plain,
( ( e23 != e23 )
| ( e21 != e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl7590,zip_derived_cl7433,zip_derived_cl4919,zip_derived_cl7437,zip_derived_cl267]) ).
thf(zip_derived_cl7668,plain,
( ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7667]) ).
thf(zip_derived_cl5930_255,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5929,zip_derived_cl196]) ).
thf(zip_derived_cl220,plain,
( ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= e13 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl2639_256,plain,
zip_tseitin_0,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2638,zip_derived_cl193]) ).
thf(zip_derived_cl2640,plain,
( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl2639]) ).
thf(zip_derived_cl5936,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5930,zip_derived_cl2640]) ).
thf(zip_derived_cl7421_257,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7438,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( e13 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl5936,zip_derived_cl7421]) ).
thf(zip_derived_cl192_258,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7439,plain,
( ( op1 @ e13 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7438,zip_derived_cl192]) ).
thf(zip_derived_cl5220_259,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl7700,plain,
( ( e22 != e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl7668,zip_derived_cl7439,zip_derived_cl5220]) ).
thf(zip_derived_cl7701,plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7700]) ).
thf(zip_derived_cl5944_260,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5935]) ).
thf(zip_derived_cl7421_261,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7442,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( e13 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl5944,zip_derived_cl7421]) ).
thf(zip_derived_cl192_262,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7443,plain,
( ( op1 @ e12 @ e11 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7442,zip_derived_cl192]) ).
thf(zip_derived_cl267_263,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl5930_264,plain,
( ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5929,zip_derived_cl196]) ).
thf(zip_derived_cl4,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl1325_265,plain,
( e10
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl256]) ).
thf(zip_derived_cl1338,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4,zip_derived_cl1325]) ).
thf(zip_derived_cl124_266,plain,
( ( op1 @ e10 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1382,plain,
( ( ( op1 @ e10 @ e13 )
!= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1338,zip_derived_cl124]) ).
thf(zip_derived_cl5933,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5930,zip_derived_cl1382]) ).
thf(zip_derived_cl5942,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5933]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1490_267,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl1491,plain,
( e11
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl1490]) ).
thf(zip_derived_cl5943,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5942,zip_derived_cl1491]) ).
thf(zip_derived_cl7421_268,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7440,plain,
( ( ( op1 @ e12 @ e13 )
= e13 )
| ( e13 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl5943,zip_derived_cl7421]) ).
thf(zip_derived_cl192_269,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7441,plain,
( ( op1 @ e12 @ e13 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7440,zip_derived_cl192]) ).
thf(zip_derived_cl5220_270,plain,
( ( h2 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl4924,zip_derived_cl4919,zip_derived_cl2888]) ).
thf(zip_derived_cl7726,plain,
( ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( e21 != e21 )
| ( e22 != e22 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl7701,zip_derived_cl7443,zip_derived_cl267,zip_derived_cl7441,zip_derived_cl5220]) ).
thf(zip_derived_cl7727,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7726]) ).
thf(zip_derived_cl7430_271,plain,
( ( op1 @ e11 @ e13 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl2642,zip_derived_cl7421]) ).
thf(zip_derived_cl2125_272,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2124,zip_derived_cl195,zip_derived_cl1401]) ).
thf(zip_derived_cl7598,plain,
( ( e11 = e10 )
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7430,zip_derived_cl2125]) ).
thf(zip_derived_cl197_273,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7600,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7598,zip_derived_cl197]) ).
thf(zip_derived_cl4913_274,plain,
( ( h2 @ e10 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4912,zip_derived_cl203]) ).
thf(zip_derived_cl7757,plain,
( ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( e20 != e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl7727,zip_derived_cl7600,zip_derived_cl4913]) ).
thf(zip_derived_cl7758,plain,
( ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= e21 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7757]) ).
thf(zip_derived_cl26,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl256_275,plain,
( e10
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1941,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( e10 = e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl256]) ).
thf(zip_derived_cl196_276,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1942,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1941,zip_derived_cl196]) ).
thf(zip_derived_cl100_277,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3020_278,plain,
( ( op1 @ e13 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3019,zip_derived_cl196]) ).
thf(zip_derived_cl3043,plain,
( e12
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl3020]) ).
thf(zip_derived_cl3071,plain,
( ( e12 != e12 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1942,zip_derived_cl3043]) ).
thf(zip_derived_cl3076,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3071]) ).
thf(zip_derived_cl7433_279,plain,
( ( op1 @ e10 @ e12 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl7432]) ).
thf(zip_derived_cl7619,plain,
( ( ( op1 @ e11 @ e12 )
= e12 )
| ( e11 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3076,zip_derived_cl7433]) ).
thf(zip_derived_cl194_280,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7620,plain,
( ( op1 @ e11 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7619,zip_derived_cl194]) ).
thf(zip_derived_cl267_281,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl7780,plain,
( ( e21 != e21 )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl7758,zip_derived_cl7620,zip_derived_cl267]) ).
thf(zip_derived_cl7781,plain,
( ( h2 @ ( op1 @ e13 @ e11 ) )
!= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl7780]) ).
thf(zip_derived_cl36,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1490_282,plain,
( e11
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl256]) ).
thf(zip_derived_cl1492,plain,
( e11
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl1490]) ).
thf(zip_derived_cl2066,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl36,zip_derived_cl1492]) ).
thf(zip_derived_cl7421_283,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(clc,[status(thm)],[zip_derived_cl7392,zip_derived_cl7271]) ).
thf(zip_derived_cl7428,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( e13 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl2066,zip_derived_cl7421]) ).
thf(zip_derived_cl193_284,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7429,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7428,zip_derived_cl193]) ).
thf(zip_derived_cl7600_285,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7598,zip_derived_cl197]) ).
thf(zip_derived_cl7932,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( e10 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl7429,zip_derived_cl7600]) ).
thf(zip_derived_cl197_286,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl7933,plain,
( ( op1 @ e13 @ e11 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7932,zip_derived_cl197]) ).
thf(zip_derived_cl4919_287,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1558,zip_derived_cl4913,zip_derived_cl1777]) ).
thf(zip_derived_cl7937,plain,
e23 != e23,
inference(demod,[status(thm)],[zip_derived_cl7781,zip_derived_cl7933,zip_derived_cl4919]) ).
thf(zip_derived_cl7938,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl7937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG107+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vUFztjZbJM true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 05:40:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.49/0.64 % Total configuration time : 435
% 0.49/0.64 % Estimated wc time : 1092
% 0.49/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.44/2.23 % Solved by fo/fo5.sh.
% 11.44/2.23 % done 2472 iterations in 1.433s
% 11.44/2.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.44/2.23 % SZS output start Refutation
% See solution above
% 11.44/2.24
% 11.44/2.24
% 11.44/2.24 % Terminating...
% 11.44/2.31 % Runner terminated.
% 11.44/2.32 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------