%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG105+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cxndbjrOOO true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:27:40 PM UTC 2025
% Result : Theorem 11.88s 2.29s
% Output : Refutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 34
% Syntax : Number of formulae : 828 ( 702 unt; 0 typ; 0 def)
% Number of atoms : 2449 (2382 equ; 0 cnn)
% Maximal formula atoms : 384 ( 2 avg)
% Number of connectives : 9209 ( 322 ~; 814 |; 799 &;7266 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 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(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(e13_type,type,
e13: $i ).
thf(h6_type,type,
h6: $i > $i ).
thf(h8_type,type,
h8: $i > $i ).
thf(h11_type,type,
h11: $i > $i ).
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_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h10_type,type,
h10: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(h9_type,type,
h9: $i > $i ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(h12_type,type,
h12: $i > $i ).
thf(h5_type,type,
h5: $i > $i ).
thf(h7_type,type,
h7: $i > $i ).
thf(e20_type,type,
e20: $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(co1,conjecture,
( ( ( ( ( h12 @ e13 )
= e23 )
| ( ( h12 @ e12 )
= e23 )
| ( ( h12 @ e11 )
= e23 )
| ( ( h12 @ e10 )
= e23 ) )
& ( ( ( h12 @ e13 )
= e22 )
| ( ( h12 @ e12 )
= e22 )
| ( ( h12 @ e11 )
= e22 )
| ( ( h12 @ e10 )
= e22 ) )
& ( ( ( h12 @ e13 )
= e21 )
| ( ( h12 @ e12 )
= e21 )
| ( ( h12 @ e11 )
= e21 )
| ( ( h12 @ e10 )
= e21 ) )
& ( ( ( h12 @ e13 )
= e20 )
| ( ( h12 @ e12 )
= e20 )
| ( ( h12 @ e11 )
= e20 )
| ( ( h12 @ e10 )
= e20 ) )
& ( ( h12 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e10 ) ) ) )
| ( ( ( ( h11 @ e13 )
= e23 )
| ( ( h11 @ e12 )
= e23 )
| ( ( h11 @ e11 )
= e23 )
| ( ( h11 @ e10 )
= e23 ) )
& ( ( ( h11 @ e13 )
= e22 )
| ( ( h11 @ e12 )
= e22 )
| ( ( h11 @ e11 )
= e22 )
| ( ( h11 @ e10 )
= e22 ) )
& ( ( ( h11 @ e13 )
= e21 )
| ( ( h11 @ e12 )
= e21 )
| ( ( h11 @ e11 )
= e21 )
| ( ( h11 @ e10 )
= e21 ) )
& ( ( ( h11 @ e13 )
= e20 )
| ( ( h11 @ e12 )
= e20 )
| ( ( h11 @ e11 )
= e20 )
| ( ( h11 @ e10 )
= e20 ) )
& ( ( h11 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e10 ) ) ) )
| ( ( ( ( h10 @ e13 )
= e23 )
| ( ( h10 @ e12 )
= e23 )
| ( ( h10 @ e11 )
= e23 )
| ( ( h10 @ e10 )
= e23 ) )
& ( ( ( h10 @ e13 )
= e22 )
| ( ( h10 @ e12 )
= e22 )
| ( ( h10 @ e11 )
= e22 )
| ( ( h10 @ e10 )
= e22 ) )
& ( ( ( h10 @ e13 )
= e21 )
| ( ( h10 @ e12 )
= e21 )
| ( ( h10 @ e11 )
= e21 )
| ( ( h10 @ e10 )
= e21 ) )
& ( ( ( h10 @ e13 )
= e20 )
| ( ( h10 @ e12 )
= e20 )
| ( ( h10 @ e11 )
= e20 )
| ( ( h10 @ e10 )
= e20 ) )
& ( ( h10 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e10 ) ) ) )
| ( ( ( ( h9 @ e13 )
= e23 )
| ( ( h9 @ e12 )
= e23 )
| ( ( h9 @ e11 )
= e23 )
| ( ( h9 @ e10 )
= e23 ) )
& ( ( ( h9 @ e13 )
= e22 )
| ( ( h9 @ e12 )
= e22 )
| ( ( h9 @ e11 )
= e22 )
| ( ( h9 @ e10 )
= e22 ) )
& ( ( ( h9 @ e13 )
= e21 )
| ( ( h9 @ e12 )
= e21 )
| ( ( h9 @ e11 )
= e21 )
| ( ( h9 @ e10 )
= e21 ) )
& ( ( ( h9 @ e13 )
= e20 )
| ( ( h9 @ e12 )
= e20 )
| ( ( h9 @ e11 )
= e20 )
| ( ( h9 @ e10 )
= e20 ) )
& ( ( h9 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e10 ) ) ) )
| ( ( ( ( h8 @ e13 )
= e23 )
| ( ( h8 @ e12 )
= e23 )
| ( ( h8 @ e11 )
= e23 )
| ( ( h8 @ e10 )
= e23 ) )
& ( ( ( h8 @ e13 )
= e22 )
| ( ( h8 @ e12 )
= e22 )
| ( ( h8 @ e11 )
= e22 )
| ( ( h8 @ e10 )
= e22 ) )
& ( ( ( h8 @ e13 )
= e21 )
| ( ( h8 @ e12 )
= e21 )
| ( ( h8 @ e11 )
= e21 )
| ( ( h8 @ e10 )
= e21 ) )
& ( ( ( h8 @ e13 )
= e20 )
| ( ( h8 @ e12 )
= e20 )
| ( ( h8 @ e11 )
= e20 )
| ( ( h8 @ e10 )
= e20 ) )
& ( ( h8 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) )
| ( ( ( ( h7 @ e13 )
= e23 )
| ( ( h7 @ e12 )
= e23 )
| ( ( h7 @ e11 )
= e23 )
| ( ( h7 @ e10 )
= e23 ) )
& ( ( ( h7 @ e13 )
= e22 )
| ( ( h7 @ e12 )
= e22 )
| ( ( h7 @ e11 )
= e22 )
| ( ( h7 @ e10 )
= e22 ) )
& ( ( ( h7 @ e13 )
= e21 )
| ( ( h7 @ e12 )
= e21 )
| ( ( h7 @ e11 )
= e21 )
| ( ( h7 @ e10 )
= e21 ) )
& ( ( ( h7 @ e13 )
= e20 )
| ( ( h7 @ e12 )
= e20 )
| ( ( h7 @ e11 )
= e20 )
| ( ( h7 @ e10 )
= e20 ) )
& ( ( h7 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e10 ) ) ) )
| ( ( ( ( h6 @ e13 )
= e23 )
| ( ( h6 @ e12 )
= e23 )
| ( ( h6 @ e11 )
= e23 )
| ( ( h6 @ e10 )
= e23 ) )
& ( ( ( h6 @ e13 )
= e22 )
| ( ( h6 @ e12 )
= e22 )
| ( ( h6 @ e11 )
= e22 )
| ( ( h6 @ e10 )
= e22 ) )
& ( ( ( h6 @ e13 )
= e21 )
| ( ( h6 @ e12 )
= e21 )
| ( ( h6 @ e11 )
= e21 )
| ( ( h6 @ e10 )
= e21 ) )
& ( ( ( h6 @ e13 )
= e20 )
| ( ( h6 @ e12 )
= e20 )
| ( ( h6 @ e11 )
= e20 )
| ( ( h6 @ e10 )
= e20 ) )
& ( ( h6 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e10 ) ) ) )
| ( ( ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ 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,
~ ( ( ( ( ( h12 @ e13 )
= e23 )
| ( ( h12 @ e12 )
= e23 )
| ( ( h12 @ e11 )
= e23 )
| ( ( h12 @ e10 )
= e23 ) )
& ( ( ( h12 @ e13 )
= e22 )
| ( ( h12 @ e12 )
= e22 )
| ( ( h12 @ e11 )
= e22 )
| ( ( h12 @ e10 )
= e22 ) )
& ( ( ( h12 @ e13 )
= e21 )
| ( ( h12 @ e12 )
= e21 )
| ( ( h12 @ e11 )
= e21 )
| ( ( h12 @ e10 )
= e21 ) )
& ( ( ( h12 @ e13 )
= e20 )
| ( ( h12 @ e12 )
= e20 )
| ( ( h12 @ e11 )
= e20 )
| ( ( h12 @ e10 )
= e20 ) )
& ( ( h12 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e10 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e13 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e12 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e11 ) ) )
& ( ( h12 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h12 @ e10 ) @ ( h12 @ e10 ) ) ) )
| ( ( ( ( h11 @ e13 )
= e23 )
| ( ( h11 @ e12 )
= e23 )
| ( ( h11 @ e11 )
= e23 )
| ( ( h11 @ e10 )
= e23 ) )
& ( ( ( h11 @ e13 )
= e22 )
| ( ( h11 @ e12 )
= e22 )
| ( ( h11 @ e11 )
= e22 )
| ( ( h11 @ e10 )
= e22 ) )
& ( ( ( h11 @ e13 )
= e21 )
| ( ( h11 @ e12 )
= e21 )
| ( ( h11 @ e11 )
= e21 )
| ( ( h11 @ e10 )
= e21 ) )
& ( ( ( h11 @ e13 )
= e20 )
| ( ( h11 @ e12 )
= e20 )
| ( ( h11 @ e11 )
= e20 )
| ( ( h11 @ e10 )
= e20 ) )
& ( ( h11 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h11 @ e13 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h11 @ e11 ) @ ( h11 @ e10 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e13 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e12 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e11 ) ) )
& ( ( h11 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h11 @ e10 ) @ ( h11 @ e10 ) ) ) )
| ( ( ( ( h10 @ e13 )
= e23 )
| ( ( h10 @ e12 )
= e23 )
| ( ( h10 @ e11 )
= e23 )
| ( ( h10 @ e10 )
= e23 ) )
& ( ( ( h10 @ e13 )
= e22 )
| ( ( h10 @ e12 )
= e22 )
| ( ( h10 @ e11 )
= e22 )
| ( ( h10 @ e10 )
= e22 ) )
& ( ( ( h10 @ e13 )
= e21 )
| ( ( h10 @ e12 )
= e21 )
| ( ( h10 @ e11 )
= e21 )
| ( ( h10 @ e10 )
= e21 ) )
& ( ( ( h10 @ e13 )
= e20 )
| ( ( h10 @ e12 )
= e20 )
| ( ( h10 @ e11 )
= e20 )
| ( ( h10 @ e10 )
= e20 ) )
& ( ( h10 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h10 @ e13 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h10 @ e12 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h10 @ e11 ) @ ( h10 @ e10 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e13 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e12 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e11 ) ) )
& ( ( h10 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h10 @ e10 ) @ ( h10 @ e10 ) ) ) )
| ( ( ( ( h9 @ e13 )
= e23 )
| ( ( h9 @ e12 )
= e23 )
| ( ( h9 @ e11 )
= e23 )
| ( ( h9 @ e10 )
= e23 ) )
& ( ( ( h9 @ e13 )
= e22 )
| ( ( h9 @ e12 )
= e22 )
| ( ( h9 @ e11 )
= e22 )
| ( ( h9 @ e10 )
= e22 ) )
& ( ( ( h9 @ e13 )
= e21 )
| ( ( h9 @ e12 )
= e21 )
| ( ( h9 @ e11 )
= e21 )
| ( ( h9 @ e10 )
= e21 ) )
& ( ( ( h9 @ e13 )
= e20 )
| ( ( h9 @ e12 )
= e20 )
| ( ( h9 @ e11 )
= e20 )
| ( ( h9 @ e10 )
= e20 ) )
& ( ( h9 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h9 @ e13 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h9 @ e12 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h9 @ e11 ) @ ( h9 @ e10 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e13 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e12 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e11 ) ) )
& ( ( h9 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h9 @ e10 ) @ ( h9 @ e10 ) ) ) )
| ( ( ( ( h8 @ e13 )
= e23 )
| ( ( h8 @ e12 )
= e23 )
| ( ( h8 @ e11 )
= e23 )
| ( ( h8 @ e10 )
= e23 ) )
& ( ( ( h8 @ e13 )
= e22 )
| ( ( h8 @ e12 )
= e22 )
| ( ( h8 @ e11 )
= e22 )
| ( ( h8 @ e10 )
= e22 ) )
& ( ( ( h8 @ e13 )
= e21 )
| ( ( h8 @ e12 )
= e21 )
| ( ( h8 @ e11 )
= e21 )
| ( ( h8 @ e10 )
= e21 ) )
& ( ( ( h8 @ e13 )
= e20 )
| ( ( h8 @ e12 )
= e20 )
| ( ( h8 @ e11 )
= e20 )
| ( ( h8 @ e10 )
= e20 ) )
& ( ( h8 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
& ( ( h8 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) )
| ( ( ( ( h7 @ e13 )
= e23 )
| ( ( h7 @ e12 )
= e23 )
| ( ( h7 @ e11 )
= e23 )
| ( ( h7 @ e10 )
= e23 ) )
& ( ( ( h7 @ e13 )
= e22 )
| ( ( h7 @ e12 )
= e22 )
| ( ( h7 @ e11 )
= e22 )
| ( ( h7 @ e10 )
= e22 ) )
& ( ( ( h7 @ e13 )
= e21 )
| ( ( h7 @ e12 )
= e21 )
| ( ( h7 @ e11 )
= e21 )
| ( ( h7 @ e10 )
= e21 ) )
& ( ( ( h7 @ e13 )
= e20 )
| ( ( h7 @ e12 )
= e20 )
| ( ( h7 @ e11 )
= e20 )
| ( ( h7 @ e10 )
= e20 ) )
& ( ( h7 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h7 @ e13 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h7 @ e12 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h7 @ e11 ) @ ( h7 @ e10 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e13 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e12 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e11 ) ) )
& ( ( h7 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h7 @ e10 ) @ ( h7 @ e10 ) ) ) )
| ( ( ( ( h6 @ e13 )
= e23 )
| ( ( h6 @ e12 )
= e23 )
| ( ( h6 @ e11 )
= e23 )
| ( ( h6 @ e10 )
= e23 ) )
& ( ( ( h6 @ e13 )
= e22 )
| ( ( h6 @ e12 )
= e22 )
| ( ( h6 @ e11 )
= e22 )
| ( ( h6 @ e10 )
= e22 ) )
& ( ( ( h6 @ e13 )
= e21 )
| ( ( h6 @ e12 )
= e21 )
| ( ( h6 @ e11 )
= e21 )
| ( ( h6 @ e10 )
= e21 ) )
& ( ( ( h6 @ e13 )
= e20 )
| ( ( h6 @ e12 )
= e20 )
| ( ( h6 @ e11 )
= e20 )
| ( ( h6 @ e10 )
= e20 ) )
& ( ( h6 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h6 @ e13 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h6 @ e12 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h6 @ e11 ) @ ( h6 @ e10 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e13 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e12 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e11 ) ) )
& ( ( h6 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h6 @ e10 ) @ ( h6 @ e10 ) ) ) )
| ( ( ( ( h5 @ e13 )
= e23 )
| ( ( h5 @ e12 )
= e23 )
| ( ( h5 @ e11 )
= e23 )
| ( ( h5 @ e10 )
= e23 ) )
& ( ( ( h5 @ e13 )
= e22 )
| ( ( h5 @ e12 )
= e22 )
| ( ( h5 @ e11 )
= e22 )
| ( ( h5 @ e10 )
= e22 ) )
& ( ( ( h5 @ e13 )
= e21 )
| ( ( h5 @ e12 )
= e21 )
| ( ( h5 @ e11 )
= e21 )
| ( ( h5 @ e10 )
= e21 ) )
& ( ( ( h5 @ e13 )
= e20 )
| ( ( h5 @ e12 )
= e20 )
| ( ( h5 @ e11 )
= e20 )
| ( ( h5 @ e10 )
= e20 ) )
& ( ( h5 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h5 @ e13 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h5 @ e12 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h5 @ e11 ) @ ( h5 @ e10 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e13 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e12 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e11 ) ) )
& ( ( h5 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h5 @ e10 ) @ ( h5 @ e10 ) ) ) )
| ( ( ( ( h4 @ 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_cl2150,plain,
( ( ( h8 @ e13 )
!= e23 )
| ( ( h8 @ e11 )
!= e22 )
| ( ( h8 @ e12 )
!= e21 )
| ( ( h8 @ e10 )
!= e20 )
| ( ( h8 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e10 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h8 @ e12 ) @ ( h8 @ e10 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h8 @ e11 ) @ ( h8 @ e10 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e13 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e12 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e11 ) ) )
| ( ( h8 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h8 @ e10 ) @ ( h8 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax11,axiom,
( ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 )
& ( ( ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= ( op2 @ e20 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= ( op2 @ e23 @ e20 ) ) )
| ( ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= ( op2 @ e20 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= ( op2 @ e23 @ e21 ) ) )
| ( ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= ( op2 @ e20 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= ( op2 @ e23 @ e22 ) ) )
| ( ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= ( op2 @ e20 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= ( op2 @ e23 @ e23 ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_7: $o ).
thf(zf_stmt_2,axiom,
( zip_tseitin_7
=> ( ( ( op2 @ e23 @ ( op2 @ e23 @ e23 ) )
= ( op2 @ e23 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e22 @ e23 ) )
= ( op2 @ e22 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= ( op2 @ e21 @ e23 ) )
& ( ( op2 @ e23 @ ( op2 @ e20 @ e23 ) )
= ( op2 @ e20 @ e23 ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_6: $o ).
thf(zf_stmt_4,axiom,
( zip_tseitin_6
=> ( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= ( op2 @ e23 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e22 @ e22 ) )
= ( op2 @ e22 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e21 @ e22 ) )
= ( op2 @ e21 @ e22 ) )
& ( ( op2 @ e22 @ ( op2 @ e20 @ e22 ) )
= ( op2 @ e20 @ e22 ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_5: $o ).
thf(zf_stmt_6,axiom,
( zip_tseitin_5
=> ( ( ( op2 @ e21 @ ( op2 @ e23 @ e21 ) )
= ( op2 @ e23 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= ( op2 @ e22 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e21 @ e21 ) )
= ( op2 @ e21 @ e21 ) )
& ( ( op2 @ e21 @ ( op2 @ e20 @ e21 ) )
= ( op2 @ e20 @ e21 ) ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_4: $o ).
thf(zf_stmt_8,axiom,
( zip_tseitin_4
=> ( ( ( op2 @ e20 @ ( op2 @ e23 @ e20 ) )
= ( op2 @ e23 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= ( op2 @ e22 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= ( op2 @ e21 @ e20 ) )
& ( ( op2 @ e20 @ ( op2 @ e20 @ e20 ) )
= ( op2 @ e20 @ e20 ) ) ) ) ).
thf(zf_stmt_9,axiom,
( ( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 )
& ( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 )
& ( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 )
& ( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 )
& ( ( op2 @ ( op2 @ e23 @ e20 ) @ e23 )
= e20 )
& ( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 )
& ( ( op2 @ ( op2 @ e22 @ e22 ) @ e22 )
= e22 )
& ( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= e21 )
& ( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 )
& ( ( op2 @ ( op2 @ e21 @ e23 ) @ e21 )
= e23 )
& ( ( op2 @ ( op2 @ e21 @ e22 ) @ e21 )
= e22 )
& ( ( op2 @ ( op2 @ e21 @ e21 ) @ e21 )
= e21 )
& ( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 )
& ( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= e23 )
& ( ( op2 @ ( op2 @ e20 @ e22 ) @ e20 )
= e22 )
& ( ( op2 @ ( op2 @ e20 @ e21 ) @ e20 )
= e21 )
& ( ( op2 @ ( op2 @ e20 @ e20 ) @ e20 )
= e20 ) ) ).
thf(zip_derived_cl274,plain,
( ( op2 @ ( op2 @ e22 @ e23 ) @ e22 )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(ax25,axiom,
( ( ( h12 @ e13 )
= ( op2 @ e22 @ e23 ) )
& ( ( h12 @ e10 )
= ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) ) )
& ( ( h12 @ e12 )
= e22 )
& ( ( h12 @ e11 )
= e23 ) ) ).
thf(zip_derived_cl336,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl334,plain,
( ( h12 @ e13 )
= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_001,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_002,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3998,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl336_003,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_004,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4195,plain,
( ( op2 @ ( h12 @ e13 ) @ ( h12 @ e12 ) )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl274,zip_derived_cl336,zip_derived_cl337,zip_derived_cl3998,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl272,plain,
( ( op2 @ ( op2 @ e23 @ e21 ) @ e23 )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl337_005,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(ax24,axiom,
( ( ( h11 @ e13 )
= ( op2 @ e21 @ e23 ) )
& ( ( h11 @ e10 )
= ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) ) )
& ( ( h11 @ e12 )
= e21 )
& ( ( h11 @ e11 )
= e23 ) ) ).
thf(zip_derived_cl332,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(ax19,axiom,
( ( ( h6 @ e13 )
= ( op2 @ e23 @ e21 ) )
& ( ( h6 @ e10 )
= ( op2 @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e21 ) ) )
& ( ( h6 @ e12 )
= e23 )
& ( ( h6 @ e11 )
= e21 ) ) ).
thf(zip_derived_cl310,plain,
( ( h6 @ e13 )
= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl337_006,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_007,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3909,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl337_008,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_009,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4193,plain,
( ( op2 @ ( h6 @ e13 ) @ ( h12 @ e11 ) )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl337,zip_derived_cl332,zip_derived_cl3909,zip_derived_cl337,zip_derived_cl332]) ).
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_cl50,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl337_010,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_011,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3909_012,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl337_013,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_014,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_015,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3909_016,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl336_017,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_018,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_019,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3909_020,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl332_021,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_022,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_023,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3909_024,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(ax23,axiom,
( ( ( h10 @ e13 )
= ( op2 @ e20 @ e23 ) )
& ( ( h10 @ e10 )
= ( op2 @ ( op2 @ e20 @ e23 ) @ ( op2 @ e20 @ e23 ) ) )
& ( ( h10 @ e12 )
= e20 )
& ( ( h10 @ e11 )
= e23 ) ) ).
thf(zip_derived_cl328,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl5117,plain,
( ( ( h6 @ e13 )
= ( h12 @ e11 ) )
| ( ( h6 @ e13 )
= ( h12 @ e12 ) )
| ( ( h6 @ e13 )
= ( h11 @ e12 ) )
| ( ( h6 @ e13 )
= ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl337,zip_derived_cl332,zip_derived_cl3909,zip_derived_cl337,zip_derived_cl337,zip_derived_cl332,zip_derived_cl3909,zip_derived_cl336,zip_derived_cl337,zip_derived_cl332,zip_derived_cl3909,zip_derived_cl332,zip_derived_cl337,zip_derived_cl332,zip_derived_cl3909,zip_derived_cl328]) ).
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_cl145,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl337_025,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_026,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_027,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_028,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3529,plain,
( ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) )
!= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl337,zip_derived_cl332,zip_derived_cl337,zip_derived_cl337]) ).
thf(zip_derived_cl3909_029,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl3910,plain,
( ( h6 @ e13 )
!= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3529,zip_derived_cl3909]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e22 @ e21 ) )
& ( e20
= ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) ) ) ) ).
thf(zip_derived_cl289,plain,
( e20
= ( op2 @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl328_030,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_031,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_032,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl288,plain,
( e23
= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl337_033,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_034,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_035,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3651,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl336_036,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_037,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3651_038,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl4883,plain,
( ( h10 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl328,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651]) ).
thf(zip_derived_cl4885,plain,
( ( h6 @ e13 )
!= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3910,zip_derived_cl4883]) ).
thf(zip_derived_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl337_039,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_040,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_041,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_042,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3530,plain,
( ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) )
!= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl337,zip_derived_cl332,zip_derived_cl337,zip_derived_cl336]) ).
thf(zip_derived_cl3909_043,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl3911,plain,
( ( h6 @ e13 )
!= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3530,zip_derived_cl3909]) ).
thf(ax22,axiom,
( ( ( h9 @ e13 )
= ( op2 @ e23 @ e22 ) )
& ( ( h9 @ e10 )
= ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) ) )
& ( ( h9 @ e12 )
= e23 )
& ( ( h9 @ e11 )
= e22 ) ) ).
thf(zip_derived_cl322,plain,
( ( h9 @ e13 )
= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl337_044,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_045,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3953,plain,
( ( h9 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl337,zip_derived_cl336]) ).
thf(zip_derived_cl3957,plain,
( ( h6 @ e13 )
!= ( h9 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3911,zip_derived_cl3953]) ).
thf(zip_derived_cl276,plain,
( ( op2 @ ( op2 @ e22 @ e21 ) @ e22 )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl336_046,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_047,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3651_048,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl336_049,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3953_050,plain,
( ( h9 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl337,zip_derived_cl336]) ).
thf(zip_derived_cl332_051,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl4197,plain,
( ( h9 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl3953,zip_derived_cl332]) ).
thf(zip_derived_cl4202,plain,
( ( h6 @ e13 )
!= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3957,zip_derived_cl4197]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl336_052,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_053,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_054,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_055,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3584,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) )
!= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl336,zip_derived_cl332,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl3651_056,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl3655,plain,
( ( h12 @ e11 )
!= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3584,zip_derived_cl3651]) ).
thf(zip_derived_cl3909_057,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl3913,plain,
( ( h12 @ e11 )
!= ( h6 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3655,zip_derived_cl3909]) ).
thf(zip_derived_cl5118,plain,
( ( h6 @ e13 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5117,zip_derived_cl4885,zip_derived_cl4202,zip_derived_cl3913]) ).
thf(zip_derived_cl3998_058,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl5122,plain,
( ( h12 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4193,zip_derived_cl5118,zip_derived_cl3998]) ).
thf(ax21,axiom,
( ( ( h8 @ e13 )
= ( op2 @ e21 @ e22 ) )
& ( ( h8 @ e10 )
= ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) ) )
& ( ( h8 @ e12 )
= e21 )
& ( ( h8 @ e11 )
= e22 ) ) ).
thf(zip_derived_cl318,plain,
( ( h8 @ e13 )
= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl332_059,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl336_060,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3933,plain,
( ( h8 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl332,zip_derived_cl336]) ).
thf(zip_derived_cl5132,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl337_061,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl321,plain,
( ( h8 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl325,plain,
( ( h9 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl3507,plain,
( ( h8 @ e11 )
= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl325]) ).
thf(zip_derived_cl325_062,plain,
( ( h9 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl336_063,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3524,plain,
( ( h9 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl336]) ).
thf(zip_derived_cl3775,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl336_064,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl320,plain,
( ( h8 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl332_065,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3510,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl332_066,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl319,plain,
( ( h8 @ e10 )
= ( op2 @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl332_067,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl336_068,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3933_069,plain,
( ( h8 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl332,zip_derived_cl336]) ).
thf(zip_derived_cl332_070,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl336_071,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3933_072,plain,
( ( h8 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl332,zip_derived_cl336]) ).
thf(zip_derived_cl4963,plain,
( ( h8 @ e10 )
= ( op2 @ ( h8 @ e13 ) @ ( h8 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl319,zip_derived_cl332,zip_derived_cl336,zip_derived_cl3933,zip_derived_cl332,zip_derived_cl336,zip_derived_cl3933]) ).
thf(zip_derived_cl5132_073,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl5132_074,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl4883_075,plain,
( ( h10 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl328,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651]) ).
thf(zip_derived_cl5154,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl328_076,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e12 @ e11 ) )
& ( e10
= ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) ) ) ) ).
thf(zip_derived_cl287,plain,
( e10
= ( op1 @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e11 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl286,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl286_077,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4725,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl5154_078,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl5132_079,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl5132_080,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl4883_081,plain,
( ( h10 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl328,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651]) ).
thf(ax10,axiom,
( ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
& ( ( ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= ( op1 @ e10 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= ( op1 @ e13 @ e10 ) ) )
| ( ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= ( op1 @ e10 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= ( op1 @ e13 @ e11 ) ) )
| ( ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= ( op1 @ e10 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= ( op1 @ e13 @ e12 ) ) )
| ( ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= ( op1 @ e10 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= ( op1 @ e13 @ e13 ) ) ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_3: $o ).
thf(zf_stmt_11,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ ( op1 @ e13 @ e13 ) )
= ( op1 @ e13 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e12 @ e13 ) )
= ( op1 @ e12 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= ( op1 @ e11 @ e13 ) )
& ( ( op1 @ e13 @ ( op1 @ e10 @ e13 ) )
= ( op1 @ e10 @ e13 ) ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_2: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= ( op1 @ e13 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e12 @ e12 ) )
= ( op1 @ e12 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e11 @ e12 ) )
= ( op1 @ e11 @ e12 ) )
& ( ( op1 @ e12 @ ( op1 @ e10 @ e12 ) )
= ( op1 @ e10 @ e12 ) ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_1: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e11 @ ( op1 @ e13 @ e11 ) )
= ( op1 @ e13 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= ( op1 @ e12 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e11 @ e11 ) )
= ( op1 @ e11 @ e11 ) )
& ( ( op1 @ e11 @ ( op1 @ e10 @ e11 ) )
= ( op1 @ e10 @ e11 ) ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_0: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e10 @ ( op1 @ e13 @ e10 ) )
= ( op1 @ e13 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= ( op1 @ e12 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= ( op1 @ e11 @ e10 ) )
& ( ( op1 @ e10 @ ( op1 @ e10 @ e10 ) )
= ( op1 @ e10 @ e10 ) ) ) ) ).
thf(zf_stmt_18,axiom,
( ( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 )
& ( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 )
& ( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 )
& ( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 )
& ( ( op1 @ ( op1 @ e13 @ e10 ) @ e13 )
= e10 )
& ( ( op1 @ ( op1 @ e12 @ e13 ) @ e12 )
= e13 )
& ( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 )
& ( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 )
& ( ( op1 @ ( op1 @ e12 @ e10 ) @ e12 )
= e10 )
& ( ( op1 @ ( op1 @ e11 @ e13 ) @ e11 )
= e13 )
& ( ( op1 @ ( op1 @ e11 @ e12 ) @ e11 )
= e12 )
& ( ( op1 @ ( op1 @ e11 @ e11 ) @ e11 )
= e11 )
& ( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 )
& ( ( op1 @ ( op1 @ e10 @ e13 ) @ e10 )
= e13 )
& ( ( op1 @ ( op1 @ e10 @ e12 ) @ e10 )
= e12 )
& ( ( op1 @ ( op1 @ e10 @ e11 ) @ e10 )
= e11 )
& ( ( op1 @ ( op1 @ e10 @ e10 ) @ e10 )
= e10 ) ) ).
thf(zip_derived_cl243,plain,
( ( op1 @ ( op1 @ e12 @ e11 ) @ e12 )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl286_082,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4049,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl3775_083,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl5132_084,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl3510_085,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3909_086,plain,
( ( h6 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl337,zip_derived_cl332]) ).
thf(zip_derived_cl5118_087,plain,
( ( h6 @ e13 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5117,zip_derived_cl4885,zip_derived_cl4202,zip_derived_cl3913]) ).
thf(zip_derived_cl5119,plain,
( ( h12 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3909,zip_derived_cl5118]) ).
thf(zip_derived_cl4725_088,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
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_cl16,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
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_cl103,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl286_089,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl3608,plain,
( e13
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl286]) ).
thf(zip_derived_cl3846,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16,zip_derived_cl3608]) ).
thf(zip_derived_cl238,plain,
( ( op1 @ ( op1 @ e13 @ e12 ) @ e13 )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl4049_090,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4058,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl4098,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( e12 = e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3846,zip_derived_cl4058]) ).
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_cl4099,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4098,zip_derived_cl192]) ).
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_cl2,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl239,plain,
( ( op1 @ ( op1 @ e13 @ e11 ) @ e13 )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl4020,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl239]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl286_091,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl3611,plain,
( e13
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl286]) ).
thf(zip_derived_cl4022,plain,
( ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4020,zip_derived_cl3611]) ).
thf(zip_derived_cl4310,plain,
( ( e13 = e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4099,zip_derived_cl4022]) ).
thf(zip_derived_cl98,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4049_092,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4053,plain,
( ( op1 @ e13 @ e11 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl4049]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4316,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4310,zip_derived_cl4053,zip_derived_cl193]) ).
thf(zip_derived_cl4745,plain,
( ( e10 = e13 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4725,zip_derived_cl4316]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4751,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4745,zip_derived_cl195]) ).
thf(zip_derived_cl3510_093,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl5132_094,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl3775_095,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl3953_096,plain,
( ( h9 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl337,zip_derived_cl336]) ).
thf(zip_derived_cl4197_097,plain,
( ( h9 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl3953,zip_derived_cl332]) ).
thf(zip_derived_cl4198,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl17,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl3611_098,plain,
( e13
!= ( op1 @ e13 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl286]) ).
thf(zip_derived_cl3880,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17,zip_derived_cl3611]) ).
thf(zip_derived_cl4049_099,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4064,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( e11 = e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3880,zip_derived_cl4049]) ).
thf(zip_derived_cl193_100,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4065,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4064,zip_derived_cl193]) ).
thf(zip_derived_cl4725_101,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl4738,plain,
( ( e10 = e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4065,zip_derived_cl4725]) ).
thf(zip_derived_cl195_102,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4739,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4738,zip_derived_cl195]) ).
thf(zip_derived_cl5132_103,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl5132_104,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl5154_105,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(ax16,axiom,
( ( ( h3 @ e13 )
= ( op2 @ e23 @ e20 ) )
& ( ( h3 @ e10 )
= ( op2 @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e20 ) ) )
& ( ( h3 @ e12 )
= e23 )
& ( ( h3 @ e11 )
= e20 ) ) ).
thf(zip_derived_cl298,plain,
( ( h3 @ e13 )
= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl337_106,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_107,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3873,plain,
( ( h3 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl337,zip_derived_cl328]) ).
thf(zip_derived_cl282,plain,
( ( op2 @ ( op2 @ e20 @ e23 ) @ e20 )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl328_108,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl337_109,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl326,plain,
( ( h10 @ e13 )
= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl328_110,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl337_111,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3970,plain,
( ( h10 @ e13 )
= ( op2 @ ( h10 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl328,zip_derived_cl337]) ).
thf(zip_derived_cl328_112,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl337_113,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4240,plain,
( ( op2 @ ( h10 @ e13 ) @ ( h10 @ e12 ) )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl328,zip_derived_cl337,zip_derived_cl3970,zip_derived_cl328,zip_derived_cl337]) ).
thf(zip_derived_cl270,plain,
( ( op2 @ ( op2 @ e23 @ e23 ) @ e23 )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl337_114,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_115,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_116,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_117,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4191,plain,
( ( op2 @ ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) @ ( h12 @ e11 ) )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl270,zip_derived_cl337,zip_derived_cl337,zip_derived_cl337,zip_derived_cl337]) ).
thf(zip_derived_cl4883_118,plain,
( ( h10 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl328,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651]) ).
thf(zip_derived_cl3970_119,plain,
( ( h10 @ e13 )
= ( op2 @ ( h10 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl328,zip_derived_cl337]) ).
thf(zip_derived_cl4888,plain,
( ( h10 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4191,zip_derived_cl4883,zip_derived_cl3970]) ).
thf(zip_derived_cl3873_120,plain,
( ( h3 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl337,zip_derived_cl328]) ).
thf(zip_derived_cl4920,plain,
( ( h3 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4240,zip_derived_cl4888,zip_derived_cl3873]) ).
thf(zip_derived_cl4922,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3873,zip_derived_cl4920]) ).
thf(zip_derived_cl4725_121,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl4099_122,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4098,zip_derived_cl192]) ).
thf(zip_derived_cl20,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4058_123,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl4086,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( e12 = e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl4058]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl96,plain,
( ( op1 @ e13 @ e12 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4049_124,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4052,plain,
( e11
!= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl4049]) ).
thf(zip_derived_cl4087,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4086,zip_derived_cl194,zip_derived_cl4052]) ).
thf(zip_derived_cl4311,plain,
( ( e13 = e11 )
| ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4099,zip_derived_cl4087]) ).
thf(zip_derived_cl193_125,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4317,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4311,zip_derived_cl193]) ).
thf(zip_derived_cl4746,plain,
( ( e10 = e13 )
| ( ( op1 @ e12 @ e13 )
= e11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4725,zip_derived_cl4317]) ).
thf(zip_derived_cl195_126,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4752,plain,
( ( op1 @ e12 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4746,zip_derived_cl195]) ).
thf(zip_derived_cl3775_127,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl3510_128,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl5132_129,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl330,plain,
( ( h11 @ e13 )
= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl332_130,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_131,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3991,plain,
( ( h11 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl332,zip_derived_cl337]) ).
thf(zip_derived_cl271,plain,
( ( op2 @ ( op2 @ e23 @ e22 ) @ e23 )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl337_132,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_133,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3953_134,plain,
( ( h9 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl337,zip_derived_cl336]) ).
thf(zip_derived_cl337_135,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_136,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4192,plain,
( ( op2 @ ( h9 @ e13 ) @ ( h12 @ e11 ) )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl337,zip_derived_cl336,zip_derived_cl3953,zip_derived_cl337,zip_derived_cl336]) ).
thf(zip_derived_cl4197_137,plain,
( ( h9 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl336,zip_derived_cl3953,zip_derived_cl332]) ).
thf(zip_derived_cl3991_138,plain,
( ( h11 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl332,zip_derived_cl337]) ).
thf(zip_derived_cl4205,plain,
( ( h11 @ e13 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4192,zip_derived_cl4197,zip_derived_cl3991]) ).
thf(zip_derived_cl4216,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl4205]) ).
thf(zip_derived_cl31,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl286_139,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4788,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( e13 = e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl286]) ).
thf(zip_derived_cl195_140,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl120,plain,
( ( op1 @ e12 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4725_141,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl4728,plain,
( ( op1 @ e12 @ e13 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl4725]) ).
thf(zip_derived_cl4789,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4788,zip_derived_cl195,zip_derived_cl4728]) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= ( op1 @ e12 @ e10 ) )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
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_cl225,plain,
( ( ( op1 @ e11 @ ( op1 @ e12 @ e11 ) )
= ( op1 @ e12 @ e11 ) )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl286_142,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4058_143,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl286_144,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4374,plain,
( ( e12 = e13 )
| ~ zip_tseitin_1 ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl286,zip_derived_cl4058,zip_derived_cl286]) ).
thf(zip_derived_cl192_145,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4375,plain,
~ zip_tseitin_1,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4374,zip_derived_cl192]) ).
thf(zip_derived_cl4376,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl4375]) ).
thf(zip_derived_cl228,plain,
( ( ( op1 @ e12 @ ( op1 @ e13 @ e12 ) )
= ( op1 @ e13 @ e12 ) )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl4049_146,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl286_147,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl4049_148,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4381,plain,
( ( e13 = e11 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl4049,zip_derived_cl286,zip_derived_cl4049]) ).
thf(zip_derived_cl193_149,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4382,plain,
~ zip_tseitin_2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4381,zip_derived_cl193]) ).
thf(zip_derived_cl4383,plain,
( zip_tseitin_3
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl4376,zip_derived_cl4382]) ).
thf(zip_derived_cl234,plain,
( ( ( op1 @ e13 @ ( op1 @ e11 @ e13 ) )
= ( op1 @ e11 @ e13 ) )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl4058_150,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl4049_151,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4058_152,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl4461,plain,
( ( e11 = e12 )
| ~ zip_tseitin_3 ),
inference(demod,[status(thm)],[zip_derived_cl234,zip_derived_cl4058,zip_derived_cl4049,zip_derived_cl4058]) ).
thf(zip_derived_cl194_153,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4462,plain,
~ zip_tseitin_3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4461,zip_derived_cl194]) ).
thf(zip_derived_cl4463,plain,
zip_tseitin_0,
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl4462]) ).
thf(zip_derived_cl4465,plain,
( ( op1 @ e10 @ ( op1 @ e12 @ e10 ) )
= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl4463]) ).
thf(zip_derived_cl4798,plain,
( ( ( op1 @ e10 @ e10 )
= ( op1 @ e12 @ e10 ) )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4789,zip_derived_cl4465]) ).
thf(zip_derived_cl142,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4808,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4798,zip_derived_cl142]) ).
thf(zip_derived_cl5154_154,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl3510_155,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3510_156,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl323,plain,
( ( h9 @ e10 )
= ( op2 @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl337_157,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_158,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4198_159,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl337_160,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_161,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4198_162,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl4989,plain,
( ( h9 @ e10 )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl323,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198]) ).
thf(zip_derived_cl335,plain,
( ( h12 @ e10 )
= ( op2 @ ( op2 @ e22 @ e23 ) @ ( op2 @ e22 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_163,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_164,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3998_165,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl336_166,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_167,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3998_168,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl5060,plain,
( ( h12 @ e10 )
= ( op2 @ ( h12 @ e13 ) @ ( h12 @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl336,zip_derived_cl337,zip_derived_cl3998,zip_derived_cl336,zip_derived_cl337,zip_derived_cl3998]) ).
thf(zip_derived_cl5122_169,plain,
( ( h12 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4193,zip_derived_cl5118,zip_derived_cl3998]) ).
thf(zip_derived_cl5122_170,plain,
( ( h12 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4193,zip_derived_cl5118,zip_derived_cl3998]) ).
thf(zip_derived_cl4989_171,plain,
( ( h9 @ e10 )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl323,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198]) ).
thf(zip_derived_cl5136,plain,
( ( h12 @ e10 )
= ( h9 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl5060,zip_derived_cl5122,zip_derived_cl5122,zip_derived_cl4989]) ).
thf(zip_derived_cl5161,plain,
( ( h12 @ e10 )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4989,zip_derived_cl5136]) ).
thf(zip_derived_cl281,plain,
( ( op2 @ ( op2 @ e21 @ e20 ) @ e21 )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl332_172,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_173,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ e21 @ e20 ) )
& ( ( h1 @ e10 )
= ( op2 @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e20 ) ) )
& ( ( h1 @ e12 )
= e21 )
& ( ( h1 @ e11 )
= e20 ) ) ).
thf(zip_derived_cl290,plain,
( ( h1 @ e13 )
= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl332_174,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_175,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl332_176,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_177,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl4239,plain,
( ( op2 @ ( h1 @ e13 ) @ ( h11 @ e12 ) )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl59,plain,
( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl332_178,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_179,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839_180,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl337_181,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_182,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_183,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839_184,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl336_185,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_186,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_187,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839_188,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl332_189,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl332_190,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_191,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839_192,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl328_193,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl5242,plain,
( ( ( h1 @ e13 )
= ( h12 @ e11 ) )
| ( ( h1 @ e13 )
= ( h12 @ e12 ) )
| ( ( h1 @ e13 )
= ( h11 @ e12 ) )
| ( ( h1 @ e13 )
= ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839,zip_derived_cl337,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839,zip_derived_cl336,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839,zip_derived_cl332,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839,zip_derived_cl328]) ).
thf(zip_derived_cl159,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl332_194,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_195,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl332_196,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_197,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3551,plain,
( ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) )
!= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl332,zip_derived_cl328,zip_derived_cl332,zip_derived_cl337]) ).
thf(zip_derived_cl3839_198,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl3840,plain,
( ( h1 @ e13 )
!= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3551,zip_derived_cl3839]) ).
thf(zip_derived_cl3991_199,plain,
( ( h11 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl332,zip_derived_cl337]) ).
thf(zip_derived_cl3995,plain,
( ( h1 @ e13 )
!= ( h11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3840,zip_derived_cl3991]) ).
thf(zip_derived_cl4205_200,plain,
( ( h11 @ e13 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4192,zip_derived_cl4197,zip_derived_cl3991]) ).
thf(zip_derived_cl4219,plain,
( ( h1 @ e13 )
!= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3995,zip_derived_cl4205]) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl332_201,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_202,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl337_203,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_204,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3595,plain,
( ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) )
!= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl332,zip_derived_cl328,zip_derived_cl337,zip_derived_cl328]) ).
thf(zip_derived_cl3839_205,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl3843,plain,
( ( h1 @ e13 )
!= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3595,zip_derived_cl3839]) ).
thf(zip_derived_cl3873_206,plain,
( ( h3 @ e13 )
= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl337,zip_derived_cl328]) ).
thf(zip_derived_cl3878,plain,
( ( h1 @ e13 )
!= ( h3 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3843,zip_derived_cl3873]) ).
thf(zip_derived_cl4920_207,plain,
( ( h3 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4240,zip_derived_cl4888,zip_derived_cl3873]) ).
thf(zip_derived_cl4924,plain,
( ( h1 @ e13 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3878,zip_derived_cl4920]) ).
thf(zip_derived_cl5243,plain,
( ( ( h1 @ e13 )
= ( h11 @ e12 ) )
| ( ( h1 @ e13 )
= ( h10 @ e12 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5242,zip_derived_cl4219,zip_derived_cl4924]) ).
thf(zip_derived_cl255,plain,
( ( ( op2 @ e20 @ ( op2 @ e21 @ e20 ) )
= ( op2 @ e21 @ e20 ) )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl328_208,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl332_209,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_210,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839_211,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl332_212,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_213,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3839_214,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl4576,plain,
( ( ( op2 @ ( h10 @ e12 ) @ ( h1 @ e13 ) )
= ( h1 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl328,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839,zip_derived_cl332,zip_derived_cl328,zip_derived_cl3839]) ).
thf(zip_derived_cl269,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl258,plain,
( ( ( op2 @ e21 @ ( op2 @ e22 @ e21 ) )
= ( op2 @ e22 @ e21 ) )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl332_215,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl336_216,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_217,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3651_218,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl4216_219,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl4205]) ).
thf(zip_derived_cl336_220,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_221,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3651_222,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl4579,plain,
( ( ( h12 @ e12 )
= ( h12 @ e11 ) )
| ~ zip_tseitin_5 ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl332,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651,zip_derived_cl4216,zip_derived_cl336,zip_derived_cl332,zip_derived_cl3651]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl312,plain,
( ( h6 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3443,plain,
( e22
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl312]) ).
thf(ax20,axiom,
( ( ( h7 @ e13 )
= ( op2 @ e20 @ e22 ) )
& ( ( h7 @ e10 )
= ( op2 @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e22 ) ) )
& ( ( h7 @ e12 )
= e20 )
& ( ( h7 @ e11 )
= e22 ) ) ).
thf(zip_derived_cl317,plain,
( ( h7 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3491,plain,
( ( h7 @ e11 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3443,zip_derived_cl317]) ).
thf(zip_derived_cl317_223,plain,
( ( h7 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl321_224,plain,
( ( h8 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl3505,plain,
( ( h7 @ e11 )
= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl321]) ).
thf(zip_derived_cl3694,plain,
( ( h8 @ e11 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3491,zip_derived_cl3505]) ).
thf(zip_derived_cl312_225,plain,
( ( h6 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl324,plain,
( ( h9 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl3506,plain,
( ( h6 @ e12 )
= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl324]) ).
thf(zip_derived_cl3712,plain,
( ( h8 @ e11 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3694,zip_derived_cl3506]) ).
thf(zip_derived_cl3507_226,plain,
( ( h8 @ e11 )
= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl325]) ).
thf(zip_derived_cl3728,plain,
( ( h9 @ e11 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3712,zip_derived_cl3507]) ).
thf(zip_derived_cl324_227,plain,
( ( h9 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax22]) ).
thf(zip_derived_cl333,plain,
( ( h11 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3523,plain,
( ( h9 @ e12 )
= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl333]) ).
thf(zip_derived_cl3772,plain,
( ( h9 @ e11 )
!= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3728,zip_derived_cl3523]) ).
thf(zip_derived_cl3524_228,plain,
( ( h9 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl336]) ).
thf(zip_derived_cl3782,plain,
( ( h12 @ e12 )
!= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3772,zip_derived_cl3524]) ).
thf(zip_derived_cl333_229,plain,
( ( h11 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_230,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3525,plain,
( ( h11 @ e11 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl337]) ).
thf(zip_derived_cl3810,plain,
( ( h12 @ e12 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3782,zip_derived_cl3525]) ).
thf(zip_derived_cl4580,plain,
~ zip_tseitin_5,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4579,zip_derived_cl3810]) ).
thf(zip_derived_cl4581,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl4580]) ).
thf(zip_derived_cl261,plain,
( ( ( op2 @ e22 @ ( op2 @ e23 @ e22 ) )
= ( op2 @ e23 @ e22 ) )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl336_231,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_232,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_233,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4198_234,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl3651_235,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl337_236,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_237,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4198_238,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl4584,plain,
( ( ( h12 @ e11 )
= ( h11 @ e12 ) )
| ~ zip_tseitin_6 ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl336,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198,zip_derived_cl3651,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl312_239,plain,
( ( h6 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3444,plain,
( e21
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl312]) ).
thf(zip_derived_cl313,plain,
( ( h6 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3468,plain,
( ( h6 @ e11 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3444,zip_derived_cl313]) ).
thf(zip_derived_cl313_240,plain,
( ( h6 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl320_241,plain,
( ( h8 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax21]) ).
thf(zip_derived_cl3504,plain,
( ( h6 @ e11 )
= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl320]) ).
thf(zip_derived_cl3676,plain,
( ( h8 @ e12 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3468,zip_derived_cl3504]) ).
thf(zip_derived_cl3506_242,plain,
( ( h6 @ e12 )
= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl324]) ).
thf(zip_derived_cl3711,plain,
( ( h8 @ e12 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3676,zip_derived_cl3506]) ).
thf(zip_derived_cl3510_243,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3756,plain,
( ( h11 @ e12 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3711,zip_derived_cl3510]) ).
thf(zip_derived_cl3523_244,plain,
( ( h9 @ e12 )
= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl333]) ).
thf(zip_derived_cl3774,plain,
( ( h11 @ e12 )
!= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3756,zip_derived_cl3523]) ).
thf(zip_derived_cl3525_245,plain,
( ( h11 @ e11 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl337]) ).
thf(zip_derived_cl3809,plain,
( ( h11 @ e12 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3774,zip_derived_cl3525]) ).
thf(zip_derived_cl4585,plain,
~ zip_tseitin_6,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4584,zip_derived_cl3809]) ).
thf(zip_derived_cl4586,plain,
( zip_tseitin_7
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl4581,zip_derived_cl4585]) ).
thf(zip_derived_cl267,plain,
( ( ( op2 @ e23 @ ( op2 @ e21 @ e23 ) )
= ( op2 @ e21 @ e23 ) )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl337_246,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_247,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_248,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4216_249,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl4205]) ).
thf(zip_derived_cl4198_250,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl332_251,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_252,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4216_253,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl4205]) ).
thf(zip_derived_cl4652,plain,
( ( ( h11 @ e12 )
= ( h12 @ e12 ) )
| ~ zip_tseitin_7 ),
inference(demod,[status(thm)],[zip_derived_cl267,zip_derived_cl337,zip_derived_cl332,zip_derived_cl337,zip_derived_cl4216,zip_derived_cl4198,zip_derived_cl332,zip_derived_cl337,zip_derived_cl4216]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl313_254,plain,
( ( h6 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3459,plain,
( ( h6 @ e11 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl313]) ).
thf(zip_derived_cl317_255,plain,
( ( h7 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3492,plain,
( ( h6 @ e11 )
!= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3459,zip_derived_cl317]) ).
thf(zip_derived_cl3504_256,plain,
( ( h6 @ e11 )
= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl320]) ).
thf(zip_derived_cl3677,plain,
( ( h8 @ e12 )
!= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3492,zip_derived_cl3504]) ).
thf(zip_derived_cl3505_257,plain,
( ( h7 @ e11 )
= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl321]) ).
thf(zip_derived_cl3696,plain,
( ( h8 @ e12 )
!= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3677,zip_derived_cl3505]) ).
thf(zip_derived_cl3507_258,plain,
( ( h8 @ e11 )
= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl325]) ).
thf(zip_derived_cl3727,plain,
( ( h8 @ e12 )
!= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3696,zip_derived_cl3507]) ).
thf(zip_derived_cl3510_259,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3757,plain,
( ( h11 @ e12 )
!= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3727,zip_derived_cl3510]) ).
thf(zip_derived_cl3524_260,plain,
( ( h9 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl336]) ).
thf(zip_derived_cl3781,plain,
( ( h11 @ e12 )
!= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3757,zip_derived_cl3524]) ).
thf(zip_derived_cl4653,plain,
~ zip_tseitin_7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4652,zip_derived_cl3781]) ).
thf(zip_derived_cl4654,plain,
zip_tseitin_4,
inference(demod,[status(thm)],[zip_derived_cl4586,zip_derived_cl4653]) ).
thf(zip_derived_cl4657,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h1 @ e13 ) )
= ( h1 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4576,zip_derived_cl4654]) ).
thf(zip_derived_cl5246,plain,
( ( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
= ( h1 @ e13 ) )
| ( ( h1 @ e13 )
= ( h11 @ e12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5243,zip_derived_cl4657]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl328_261,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl328_262,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl332_263,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_264,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3599,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
!= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl328,zip_derived_cl328,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl3839_265,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl3845,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
!= ( h1 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3599,zip_derived_cl3839]) ).
thf(zip_derived_cl5252,plain,
( ( h1 @ e13 )
= ( h11 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5246,zip_derived_cl3845]) ).
thf(zip_derived_cl5161_266,plain,
( ( h12 @ e10 )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4989,zip_derived_cl5136]) ).
thf(zip_derived_cl5282,plain,
( ( h12 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4239,zip_derived_cl5252,zip_derived_cl5161]) ).
thf(zip_derived_cl5292,plain,
( ( h10 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5161,zip_derived_cl5282]) ).
thf(zip_derived_cl286_267,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl5132_268,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl3510_269,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3775_270,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl3933_271,plain,
( ( h8 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl318,zip_derived_cl332,zip_derived_cl336]) ).
thf(zip_derived_cl5132_272,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl5148,plain,
( ( h12 @ e11 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3933,zip_derived_cl5132]) ).
thf(zip_derived_cl7,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl106,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3541,plain,
( ( e10
!= ( op1 @ e12 @ e12 ) )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl106]) ).
thf(zip_derived_cl4808_273,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4798,zip_derived_cl142]) ).
thf(zip_derived_cl4896,plain,
( ( e10 != e10 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3541,zip_derived_cl4808]) ).
thf(zip_derived_cl4897,plain,
( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4896]) ).
thf(zip_derived_cl105,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4752_274,plain,
( ( op1 @ e12 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4746,zip_derived_cl195]) ).
thf(zip_derived_cl4855,plain,
( ( op1 @ e12 @ e10 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl4752]) ).
thf(zip_derived_cl107,plain,
( ( op1 @ e12 @ e10 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl286_275,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl3610,plain,
( ( op1 @ e12 @ e10 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl286]) ).
thf(zip_derived_cl4898,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4897,zip_derived_cl4855,zip_derived_cl3610]) ).
thf(zip_derived_cl3510_276,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3510_277,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl5154_278,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl3839_279,plain,
( ( h1 @ e13 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl332,zip_derived_cl328]) ).
thf(zip_derived_cl5252_280,plain,
( ( h1 @ e13 )
= ( h11 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5246,zip_derived_cl3845]) ).
thf(zip_derived_cl5279,plain,
( ( h11 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3839,zip_derived_cl5252]) ).
thf(zip_derived_cl4058_281,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl3510_282,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3775_283,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl5132_284,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl3998_285,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl5122_286,plain,
( ( h12 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4193,zip_derived_cl5118,zip_derived_cl3998]) ).
thf(zip_derived_cl5129,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3998,zip_derived_cl5122]) ).
thf(zip_derived_cl24,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl4049_287,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4242,plain,
( ( e11 = e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl4049]) ).
thf(zip_derived_cl104,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl286_288,plain,
( e13
= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl3609,plain,
( e13
!= ( op1 @ e12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl286]) ).
thf(zip_derived_cl193_289,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4243,plain,
( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4242,zip_derived_cl3609,zip_derived_cl193]) ).
thf(zip_derived_cl4725_290,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl3846_291,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16,zip_derived_cl3608]) ).
thf(zip_derived_cl114,plain,
( ( op1 @ e10 @ e12 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3848,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3846,zip_derived_cl114]) ).
thf(zip_derived_cl4058_292,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl4100,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( e12 = e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3848,zip_derived_cl4058]) ).
thf(zip_derived_cl192_293,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4101,plain,
( ( ( op1 @ e10 @ e12 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4100,zip_derived_cl192]) ).
thf(zip_derived_cl4744,plain,
( ( e10 = e13 )
| ( ( op1 @ e10 @ e12 )
!= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4725,zip_derived_cl4101]) ).
thf(zip_derived_cl195_294,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4750,plain,
( ( op1 @ e10 @ e12 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4744,zip_derived_cl195]) ).
thf(zip_derived_cl4783,plain,
( ( e13 != e13 )
| ( ( op1 @ e11 @ e12 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4243,zip_derived_cl4750]) ).
thf(zip_derived_cl4787,plain,
( ( op1 @ e11 @ e12 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl4783]) ).
thf(zip_derived_cl5132_295,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl3775_296,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl3510_297,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3651_298,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl248,plain,
( ( op1 @ ( op1 @ e11 @ e10 ) @ e11 )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl11,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl222,plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= ( op1 @ e11 @ e10 ) )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl4367,plain,
( ( ( op1 @ e10 @ e10 )
= ( op1 @ e11 @ e10 ) )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ~ zip_tseitin_0 ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl222]) ).
thf(zip_derived_cl111,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4058_299,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl238,zip_derived_cl4049]) ).
thf(zip_derived_cl4090,plain,
( ( op1 @ e11 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl4058]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl4368,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e13 )
| ~ zip_tseitin_0 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4367,zip_derived_cl4090,zip_derived_cl143]) ).
thf(zip_derived_cl4463_300,plain,
zip_tseitin_0,
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl4462]) ).
thf(zip_derived_cl5009,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4368,zip_derived_cl4463]) ).
thf(zip_derived_cl4725_301,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl3880_302,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl17,zip_derived_cl3611]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3886,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3880,zip_derived_cl139]) ).
thf(zip_derived_cl4049_303,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl243,zip_derived_cl286]) ).
thf(zip_derived_cl4066,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( e11 = e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3886,zip_derived_cl4049]) ).
thf(zip_derived_cl193_304,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4067,plain,
( ( ( op1 @ e11 @ e10 )
!= e13 )
| ( ( op1 @ e13 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4066,zip_derived_cl193]) ).
thf(zip_derived_cl4743,plain,
( ( e10 = e13 )
| ( ( op1 @ e11 @ e10 )
!= e13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4725,zip_derived_cl4067]) ).
thf(zip_derived_cl195_305,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl4749,plain,
( ( op1 @ e11 @ e10 )
!= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4743,zip_derived_cl195]) ).
thf(zip_derived_cl5010,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5009,zip_derived_cl4749]) ).
thf(zip_derived_cl5013,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl5010]) ).
thf(zip_derived_cl5154_306,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl3775_307,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl3775_308,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl331,plain,
( ( h11 @ e10 )
= ( op2 @ ( op2 @ e21 @ e23 ) @ ( op2 @ e21 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl332_309,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_310,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4216_311,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl4205]) ).
thf(zip_derived_cl332_312,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl337_313,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4216_314,plain,
( ( h12 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3991,zip_derived_cl4205]) ).
thf(zip_derived_cl5034,plain,
( ( h11 @ e10 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl332,zip_derived_cl337,zip_derived_cl4216,zip_derived_cl332,zip_derived_cl337,zip_derived_cl4216]) ).
thf(zip_derived_cl277,plain,
( ( op2 @ ( op2 @ e22 @ e20 ) @ e22 )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl336_315,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_316,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(ax15,axiom,
( ( ( h2 @ e13 )
= ( op2 @ e22 @ e20 ) )
& ( ( h2 @ e10 )
= ( op2 @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e20 ) ) )
& ( ( h2 @ e12 )
= e22 )
& ( ( h2 @ e11 )
= e20 ) ) ).
thf(zip_derived_cl294,plain,
( ( h2 @ e13 )
= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl336_317,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_318,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl336_319,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_320,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl4235,plain,
( ( op2 @ ( h2 @ e13 ) @ ( h12 @ e12 ) )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl55,plain,
( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl336_321,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_322,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854_323,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl337_324,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_325,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_326,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854_327,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl336_328,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_329,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_330,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854_331,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl332_332,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl336_333,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_334,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854_335,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl328_336,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl5194,plain,
( ( ( h2 @ e13 )
= ( h12 @ e11 ) )
| ( ( h2 @ e13 )
= ( h12 @ e12 ) )
| ( ( h2 @ e13 )
= ( h11 @ e12 ) )
| ( ( h2 @ e13 )
= ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854,zip_derived_cl337,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854,zip_derived_cl336,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854,zip_derived_cl332,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854,zip_derived_cl328]) ).
thf(zip_derived_cl153,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl336_337,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_338,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_339,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl337_340,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl3537,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl336,zip_derived_cl328,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl3854_341,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl3855,plain,
( ( h2 @ e13 )
!= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3537,zip_derived_cl3854]) ).
thf(zip_derived_cl3998_342,plain,
( ( h12 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl336,zip_derived_cl337]) ).
thf(zip_derived_cl4002,plain,
( ( h2 @ e13 )
!= ( h12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3855,zip_derived_cl3998]) ).
thf(zip_derived_cl5122_343,plain,
( ( h12 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4193,zip_derived_cl5118,zip_derived_cl3998]) ).
thf(zip_derived_cl5131,plain,
( ( h2 @ e13 )
!= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4002,zip_derived_cl5122]) ).
thf(zip_derived_cl155,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl336_344,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_345,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_346,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_347,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3539,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl336,zip_derived_cl328,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl3651_348,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl337,zip_derived_cl336,zip_derived_cl332]) ).
thf(zip_derived_cl3654,plain,
( ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3539,zip_derived_cl3651]) ).
thf(zip_derived_cl3854_349,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl3859,plain,
( ( h2 @ e13 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3654,zip_derived_cl3854]) ).
thf(zip_derived_cl5195,plain,
( ( ( h2 @ e13 )
= ( h12 @ e12 ) )
| ( ( h2 @ e13 )
= ( h10 @ e12 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5194,zip_derived_cl5131,zip_derived_cl3859]) ).
thf(zip_derived_cl254,plain,
( ( ( op2 @ e20 @ ( op2 @ e22 @ e20 ) )
= ( op2 @ e22 @ e20 ) )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl328_350,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_351,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_352,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854_353,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl336_354,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_355,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3854_356,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl4541,plain,
( ( ( op2 @ ( h10 @ e12 ) @ ( h2 @ e13 ) )
= ( h2 @ e13 ) )
| ~ zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl328,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854,zip_derived_cl336,zip_derived_cl328,zip_derived_cl3854]) ).
thf(zip_derived_cl4654_357,plain,
zip_tseitin_4,
inference(demod,[status(thm)],[zip_derived_cl4586,zip_derived_cl4653]) ).
thf(zip_derived_cl4656,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h2 @ e13 ) )
= ( h2 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4541,zip_derived_cl4654]) ).
thf(zip_derived_cl5198,plain,
( ( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
= ( h2 @ e13 ) )
| ( ( h2 @ e13 )
= ( h12 @ e12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5195,zip_derived_cl4656]) ).
thf(zip_derived_cl190,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e22 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl328_358,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl328_359,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_360,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_361,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3598,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
!= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl190,zip_derived_cl328,zip_derived_cl328,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl3854_362,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl3858,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
!= ( h2 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl3598,zip_derived_cl3854]) ).
thf(zip_derived_cl5204,plain,
( ( h2 @ e13 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5198,zip_derived_cl3858]) ).
thf(zip_derived_cl5034_363,plain,
( ( h11 @ e10 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl332,zip_derived_cl337,zip_derived_cl4216,zip_derived_cl332,zip_derived_cl337,zip_derived_cl4216]) ).
thf(zip_derived_cl5210,plain,
( ( h11 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4235,zip_derived_cl5204,zip_derived_cl5034]) ).
thf(zip_derived_cl5217,plain,
( ( h10 @ e12 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5034,zip_derived_cl5210]) ).
thf(zip_derived_cl5010_364,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5009,zip_derived_cl4749]) ).
thf(zip_derived_cl3775_365,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl3775_366,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl5154_367,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl3854_368,plain,
( ( h2 @ e13 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl336,zip_derived_cl328]) ).
thf(zip_derived_cl5204_369,plain,
( ( h2 @ e13 )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5198,zip_derived_cl3858]) ).
thf(zip_derived_cl5206,plain,
( ( h12 @ e12 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3854,zip_derived_cl5204]) ).
thf(zip_derived_cl237,plain,
( ( op1 @ ( op1 @ e13 @ e13 ) @ e13 )
= e13 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl4725_370,plain,
( e10
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl287,zip_derived_cl286,zip_derived_cl286]) ).
thf(zip_derived_cl4730,plain,
( ( op1 @ e10 @ e13 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl4725]) ).
thf(zip_derived_cl5132_371,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl5154_372,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl5132_373,plain,
( ( h8 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4195,zip_derived_cl5122,zip_derived_cl3933]) ).
thf(zip_derived_cl3970_374,plain,
( ( h10 @ e13 )
= ( op2 @ ( h10 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl328,zip_derived_cl337]) ).
thf(zip_derived_cl4888_375,plain,
( ( h10 @ e13 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl4191,zip_derived_cl4883,zip_derived_cl3970]) ).
thf(zip_derived_cl4914,plain,
( ( h12 @ e11 )
= ( op2 @ ( h10 @ e12 ) @ ( h12 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3970,zip_derived_cl4888]) ).
thf(zip_derived_cl242,plain,
( ( op1 @ ( op1 @ e12 @ e12 ) @ e12 )
= e12 ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl4808_376,plain,
( ( op1 @ e12 @ e12 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4798,zip_derived_cl142]) ).
thf(zip_derived_cl4895,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl4808]) ).
thf(zip_derived_cl3510_377,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl5154_378,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl3510_379,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ e20 @ e21 ) )
& ( ( h4 @ e10 )
= ( op2 @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e21 ) ) )
& ( ( h4 @ e12 )
= e20 )
& ( ( h4 @ e11 )
= e21 ) ) ).
thf(zip_derived_cl302,plain,
( ( h4 @ e13 )
= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl328_380,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl332_381,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl3888,plain,
( ( h4 @ e13 )
= ( op2 @ ( h10 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl328,zip_derived_cl332]) ).
thf(zip_derived_cl4657_382,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h1 @ e13 ) )
= ( h1 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl4576,zip_derived_cl4654]) ).
thf(zip_derived_cl5252_383,plain,
( ( h1 @ e13 )
= ( h11 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5246,zip_derived_cl3845]) ).
thf(zip_derived_cl3888_384,plain,
( ( h4 @ e13 )
= ( op2 @ ( h10 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl328,zip_derived_cl332]) ).
thf(zip_derived_cl5252_385,plain,
( ( h1 @ e13 )
= ( h11 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5246,zip_derived_cl3845]) ).
thf(zip_derived_cl5283,plain,
( ( h4 @ e13 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4657,zip_derived_cl5252,zip_derived_cl3888,zip_derived_cl5252]) ).
thf(zip_derived_cl5314,plain,
( ( h11 @ e12 )
= ( op2 @ ( h10 @ e12 ) @ ( h11 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3888,zip_derived_cl5283]) ).
thf(zip_derived_cl222_386,plain,
( ( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= ( op1 @ e11 @ e10 ) )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl4463_387,plain,
zip_tseitin_0,
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl4462]) ).
thf(zip_derived_cl4466,plain,
( ( op1 @ e10 @ ( op1 @ e11 @ e10 ) )
= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl4463]) ).
thf(zip_derived_cl5010_388,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5009,zip_derived_cl4749]) ).
thf(zip_derived_cl5010_389,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5009,zip_derived_cl4749]) ).
thf(zip_derived_cl5017,plain,
( ( op1 @ e10 @ e11 )
= e11 ),
inference(demod,[status(thm)],[zip_derived_cl4466,zip_derived_cl5010,zip_derived_cl5010]) ).
thf(zip_derived_cl3775_390,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
thf(zip_derived_cl5154_391,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl3775_392,plain,
( ( h8 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3507,zip_derived_cl3524]) ).
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_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_cl337_393,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_394,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl4198_395,plain,
( ( h11 @ e12 )
= ( op2 @ ( h12 @ e11 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3953,zip_derived_cl4197]) ).
thf(zip_derived_cl336_396,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_397,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_398,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl5217_399,plain,
( ( h10 @ e12 )
= ( op2 @ ( h12 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5034,zip_derived_cl5210]) ).
thf(zip_derived_cl336_400,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl332_401,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl336_402,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl5148_403,plain,
( ( h12 @ e11 )
= ( op2 @ ( h11 @ e12 ) @ ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3933,zip_derived_cl5132]) ).
thf(zip_derived_cl336_404,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_405,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_406,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl336_407,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl5335,plain,
( ( ( h11 @ e12 )
= ( h12 @ e12 ) )
| ( ( h10 @ e12 )
= ( h12 @ e12 ) )
| ( ( h12 @ e11 )
= ( h12 @ e12 ) )
| ( ( op2 @ ( h10 @ e12 ) @ ( h12 @ e12 ) )
= ( h12 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl337,zip_derived_cl336,zip_derived_cl4198,zip_derived_cl336,zip_derived_cl336,zip_derived_cl336,zip_derived_cl5217,zip_derived_cl336,zip_derived_cl332,zip_derived_cl336,zip_derived_cl5148,zip_derived_cl336,zip_derived_cl328,zip_derived_cl336,zip_derived_cl336]) ).
thf(zip_derived_cl3810_408,plain,
( ( h12 @ e12 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3782,zip_derived_cl3525]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl304,plain,
( ( h4 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3419,plain,
( ( h4 @ e12 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl304]) ).
thf(zip_derived_cl317_409,plain,
( ( h7 @ e11 )
= e22 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3490,plain,
( ( h4 @ e12 )
!= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3419,zip_derived_cl317]) ).
thf(zip_derived_cl304_410,plain,
( ( h4 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl316,plain,
( ( h7 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl3483,plain,
( ( h4 @ e12 )
= ( h7 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl316]) ).
thf(zip_derived_cl3642,plain,
( ( h7 @ e12 )
!= ( h7 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3490,zip_derived_cl3483]) ).
thf(zip_derived_cl3505_411,plain,
( ( h7 @ e11 )
= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl317,zip_derived_cl321]) ).
thf(zip_derived_cl3695,plain,
( ( h7 @ e12 )
!= ( h8 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3642,zip_derived_cl3505]) ).
thf(zip_derived_cl3507_412,plain,
( ( h8 @ e11 )
= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl325]) ).
thf(zip_derived_cl3726,plain,
( ( h7 @ e12 )
!= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3695,zip_derived_cl3507]) ).
thf(zip_derived_cl316_413,plain,
( ( h7 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax20]) ).
thf(zip_derived_cl328_414,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl3508,plain,
( ( h7 @ e12 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl328]) ).
thf(zip_derived_cl3744,plain,
( ( h10 @ e12 )
!= ( h9 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3726,zip_derived_cl3508]) ).
thf(zip_derived_cl3524_415,plain,
( ( h9 @ e11 )
= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl336]) ).
thf(zip_derived_cl3780,plain,
( ( h10 @ e12 )
!= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl3524]) ).
thf(zip_derived_cl3781_416,plain,
( ( h11 @ e12 )
!= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3757,zip_derived_cl3524]) ).
thf(zip_derived_cl5336,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h12 @ e12 ) )
= ( h12 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5335,zip_derived_cl3810,zip_derived_cl3780,zip_derived_cl3781]) ).
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_cl4739_417,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4738,zip_derived_cl195]) ).
thf(zip_derived_cl4898_418,plain,
( ( op1 @ e12 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4897,zip_derived_cl4855,zip_derived_cl3610]) ).
thf(zip_derived_cl5010_419,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5009,zip_derived_cl4749]) ).
thf(zip_derived_cl5105,plain,
( ( e13 = e10 )
| ( e12 = e10 )
| ( e11 = e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl4739,zip_derived_cl4898,zip_derived_cl5010]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl195_420,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl5106,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5105,zip_derived_cl197,zip_derived_cl196,zip_derived_cl195]) ).
thf(zip_derived_cl5154_421,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl5154_422,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
thf(zip_derived_cl5154_423,plain,
( ( h8 @ e10 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4963,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883]) ).
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_cl337_424,plain,
( ( h12 @ e11 )
= e23 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_425,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl4922_426,plain,
( ( h12 @ e11 )
= ( op2 @ ( h12 @ e11 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3873,zip_derived_cl4920]) ).
thf(zip_derived_cl328_427,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl336_428,plain,
( ( h12 @ e12 )
= e22 ),
inference(cnf,[status(esa)],[ax25]) ).
thf(zip_derived_cl328_429,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl5206_430,plain,
( ( h12 @ e12 )
= ( op2 @ ( h12 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3854,zip_derived_cl5204]) ).
thf(zip_derived_cl328_431,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl332_432,plain,
( ( h11 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax24]) ).
thf(zip_derived_cl328_433,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl5279_434,plain,
( ( h11 @ e12 )
= ( op2 @ ( h11 @ e12 ) @ ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3839,zip_derived_cl5252]) ).
thf(zip_derived_cl328_435,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl328_436,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl328_437,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl328_438,plain,
( ( h10 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax23]) ).
thf(zip_derived_cl5430,plain,
( ( ( h12 @ e11 )
= ( h10 @ e12 ) )
| ( ( h12 @ e12 )
= ( h10 @ e12 ) )
| ( ( h11 @ e12 )
= ( h10 @ e12 ) )
| ( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
= ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl337,zip_derived_cl328,zip_derived_cl4922,zip_derived_cl328,zip_derived_cl336,zip_derived_cl328,zip_derived_cl5206,zip_derived_cl328,zip_derived_cl332,zip_derived_cl328,zip_derived_cl5279,zip_derived_cl328,zip_derived_cl328,zip_derived_cl328,zip_derived_cl328]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl304_439,plain,
( ( h4 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3420,plain,
( ( h4 @ e12 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl304]) ).
thf(zip_derived_cl313_440,plain,
( ( h6 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3467,plain,
( ( h4 @ e12 )
!= ( h6 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3420,zip_derived_cl313]) ).
thf(zip_derived_cl3483_441,plain,
( ( h4 @ e12 )
= ( h7 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl316]) ).
thf(zip_derived_cl3641,plain,
( ( h7 @ e12 )
!= ( h6 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3467,zip_derived_cl3483]) ).
thf(zip_derived_cl3504_442,plain,
( ( h6 @ e11 )
= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl320]) ).
thf(zip_derived_cl3678,plain,
( ( h7 @ e12 )
!= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3641,zip_derived_cl3504]) ).
thf(zip_derived_cl3508_443,plain,
( ( h7 @ e12 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl328]) ).
thf(zip_derived_cl3742,plain,
( ( h10 @ e12 )
!= ( h8 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3678,zip_derived_cl3508]) ).
thf(zip_derived_cl3510_444,plain,
( ( h8 @ e12 )
= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl332]) ).
thf(zip_derived_cl3758,plain,
( ( h10 @ e12 )
!= ( h11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3742,zip_derived_cl3510]) ).
thf(zip_derived_cl3780_445,plain,
( ( h10 @ e12 )
!= ( h12 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3744,zip_derived_cl3524]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl304_446,plain,
( ( h4 @ e12 )
= e20 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl3418,plain,
( ( h4 @ e12 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl304]) ).
thf(zip_derived_cl312_447,plain,
( ( h6 @ e12 )
= e23 ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl3450,plain,
( ( h4 @ e12 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3418,zip_derived_cl312]) ).
thf(zip_derived_cl3483_448,plain,
( ( h4 @ e12 )
= ( h7 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl316]) ).
thf(zip_derived_cl3640,plain,
( ( h7 @ e12 )
!= ( h6 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3450,zip_derived_cl3483]) ).
thf(zip_derived_cl3506_449,plain,
( ( h6 @ e12 )
= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl324]) ).
thf(zip_derived_cl3710,plain,
( ( h7 @ e12 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3640,zip_derived_cl3506]) ).
thf(zip_derived_cl3508_450,plain,
( ( h7 @ e12 )
= ( h10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl328]) ).
thf(zip_derived_cl3743,plain,
( ( h10 @ e12 )
!= ( h9 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3710,zip_derived_cl3508]) ).
thf(zip_derived_cl3523_451,plain,
( ( h9 @ e12 )
= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl333]) ).
thf(zip_derived_cl3773,plain,
( ( h10 @ e12 )
!= ( h11 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3743,zip_derived_cl3523]) ).
thf(zip_derived_cl3525_452,plain,
( ( h11 @ e11 )
= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl333,zip_derived_cl337]) ).
thf(zip_derived_cl3808,plain,
( ( h10 @ e12 )
!= ( h12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl3773,zip_derived_cl3525]) ).
thf(zip_derived_cl5431,plain,
( ( op2 @ ( h10 @ e12 ) @ ( h10 @ e12 ) )
= ( h10 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5430,zip_derived_cl3758,zip_derived_cl3780,zip_derived_cl3808]) ).
thf(zip_derived_cl6953,plain,
( ( ( h12 @ e11 )
!= ( h12 @ e11 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h11 @ e12 )
!= ( h11 @ e12 ) )
| ( ( h10 @ e12 )
!= ( h10 @ e12 ) )
| ( ( h10 @ e12 )
!= ( h10 @ e12 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h11 @ e12 )
!= ( h11 @ e12 ) )
| ( ( h12 @ e11 )
!= ( h12 @ e11 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h10 @ e12 )
!= ( h10 @ e12 ) )
| ( ( h12 @ e11 )
!= ( h12 @ e11 ) )
| ( ( h11 @ e12 )
!= ( h11 @ e12 ) )
| ( ( h11 @ e12 )
!= ( h11 @ e12 ) )
| ( ( h12 @ e11 )
!= ( h12 @ e11 ) )
| ( ( h10 @ e12 )
!= ( h10 @ e12 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h12 @ e11 )
!= ( h12 @ e11 ) )
| ( ( h11 @ e12 )
!= ( h11 @ e12 ) )
| ( ( h12 @ e12 )
!= ( h12 @ e12 ) )
| ( ( h10 @ e12 )
!= ( h10 @ e12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2150,zip_derived_cl5132,zip_derived_cl337,zip_derived_cl3775,zip_derived_cl336,zip_derived_cl3510,zip_derived_cl332,zip_derived_cl5154,zip_derived_cl328,zip_derived_cl4725,zip_derived_cl5154,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl4883,zip_derived_cl4049,zip_derived_cl3775,zip_derived_cl5132,zip_derived_cl3510,zip_derived_cl5119,zip_derived_cl4751,zip_derived_cl3510,zip_derived_cl5132,zip_derived_cl3775,zip_derived_cl4198,zip_derived_cl4739,zip_derived_cl5132,zip_derived_cl5132,zip_derived_cl5154,zip_derived_cl4922,zip_derived_cl4752,zip_derived_cl3775,zip_derived_cl3510,zip_derived_cl5132,zip_derived_cl4216,zip_derived_cl4808,zip_derived_cl5154,zip_derived_cl3510,zip_derived_cl3510,zip_derived_cl5292,zip_derived_cl286,zip_derived_cl5132,zip_derived_cl3510,zip_derived_cl3775,zip_derived_cl5148,zip_derived_cl4898,zip_derived_cl3510,zip_derived_cl3510,zip_derived_cl5154,zip_derived_cl5279,zip_derived_cl4058,zip_derived_cl3510,zip_derived_cl3775,zip_derived_cl5132,zip_derived_cl5129,zip_derived_cl4787,zip_derived_cl5132,zip_derived_cl3775,zip_derived_cl3510,zip_derived_cl3651,zip_derived_cl5013,zip_derived_cl5154,zip_derived_cl3775,zip_derived_cl3775,zip_derived_cl5217,zip_derived_cl5010,zip_derived_cl3775,zip_derived_cl3775,zip_derived_cl5154,zip_derived_cl5206,zip_derived_cl4730,zip_derived_cl5132,zip_derived_cl5154,zip_derived_cl5132,zip_derived_cl4914,zip_derived_cl4895,zip_derived_cl3510,zip_derived_cl5154,zip_derived_cl3510,zip_derived_cl5314,zip_derived_cl5017,zip_derived_cl3775,zip_derived_cl5154,zip_derived_cl3775,zip_derived_cl5336,zip_derived_cl5106,zip_derived_cl5154,zip_derived_cl5154,zip_derived_cl5154,zip_derived_cl5431]) ).
thf(zip_derived_cl6954,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl6953]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG105+1 : TPTP v9.2.0. Released v2.7.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cxndbjrOOO true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:02:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.88/2.29 % Solved by fo/fo4.sh.
% 11.88/2.29 % done 1630 iterations in 1.473s
% 11.88/2.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.88/2.29 % SZS output start Refutation
% See solution above
% 11.88/2.30
% 11.88/2.30
% 11.88/2.30 % Terminating...
% 12.36/2.36 % Runner terminated.
% 12.36/2.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------