%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG038+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.jKwhza1bE4 true
% Computer : n027.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 04:27:22 PM UTC 2025
% Result : Theorem 9.04s 1.86s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 369 ( 293 unt; 0 typ; 0 def)
% Number of atoms : 1308 (1307 equ; 0 cnn)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4164 ( 233 ~; 565 |; 374 &;2992 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(unit1_type,type,
unit1: $i ).
thf(e22_type,type,
e22: $i ).
thf(e13_type,type,
e13: $i ).
thf(h2_type,type,
h2: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e21_type,type,
e21: $i ).
thf(e20_type,type,
e20: $i ).
thf(e11_type,type,
e11: $i ).
thf(h3_type,type,
h3: $i > $i ).
thf(h1_type,type,
h1: $i > $i ).
thf(e10_type,type,
e10: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(unit2_type,type,
unit2: $i ).
thf(e23_type,type,
e23: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(h4_type,type,
h4: $i > $i ).
thf(co1,conjecture,
( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h4 @ e13 )
= e23 )
| ( ( h4 @ e12 )
= e23 )
| ( ( h4 @ e11 )
= e23 )
| ( ( h4 @ e10 )
= e23 ) )
& ( ( ( h4 @ e13 )
= e22 )
| ( ( h4 @ e12 )
= e22 )
| ( ( h4 @ e11 )
= e22 )
| ( ( h4 @ e10 )
= e22 ) )
& ( ( ( h4 @ e13 )
= e21 )
| ( ( h4 @ e12 )
= e21 )
| ( ( h4 @ e11 )
= e21 )
| ( ( h4 @ e10 )
= e21 ) )
& ( ( ( h4 @ e13 )
= e20 )
| ( ( h4 @ e12 )
= e20 )
| ( ( h4 @ e11 )
= e20 )
| ( ( h4 @ e10 )
= e20 ) )
& ( ( h4 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) )
& ( ( h4 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) )
| ( ( ( ( h3 @ e13 )
= e23 )
| ( ( h3 @ e12 )
= e23 )
| ( ( h3 @ e11 )
= e23 )
| ( ( h3 @ e10 )
= e23 ) )
& ( ( ( h3 @ e13 )
= e22 )
| ( ( h3 @ e12 )
= e22 )
| ( ( h3 @ e11 )
= e22 )
| ( ( h3 @ e10 )
= e22 ) )
& ( ( ( h3 @ e13 )
= e21 )
| ( ( h3 @ e12 )
= e21 )
| ( ( h3 @ e11 )
= e21 )
| ( ( h3 @ e10 )
= e21 ) )
& ( ( ( h3 @ e13 )
= e20 )
| ( ( h3 @ e12 )
= e20 )
| ( ( h3 @ e11 )
= e20 )
| ( ( h3 @ e10 )
= e20 ) )
& ( ( h3 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) )
& ( ( h3 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) )
| ( ( ( ( h2 @ e13 )
= e23 )
| ( ( h2 @ e12 )
= e23 )
| ( ( h2 @ e11 )
= e23 )
| ( ( h2 @ e10 )
= e23 ) )
& ( ( ( h2 @ e13 )
= e22 )
| ( ( h2 @ e12 )
= e22 )
| ( ( h2 @ e11 )
= e22 )
| ( ( h2 @ e10 )
= e22 ) )
& ( ( ( h2 @ e13 )
= e21 )
| ( ( h2 @ e12 )
= e21 )
| ( ( h2 @ e11 )
= e21 )
| ( ( h2 @ e10 )
= e21 ) )
& ( ( ( h2 @ e13 )
= e20 )
| ( ( h2 @ e12 )
= e20 )
| ( ( h2 @ e11 )
= e20 )
| ( ( h2 @ e10 )
= e20 ) )
& ( ( h2 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
& ( ( h2 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) )
| ( ( ( ( h1 @ e13 )
= e23 )
| ( ( h1 @ e12 )
= e23 )
| ( ( h1 @ e11 )
= e23 )
| ( ( h1 @ e10 )
= e23 ) )
& ( ( ( h1 @ e13 )
= e22 )
| ( ( h1 @ e12 )
= e22 )
| ( ( h1 @ e11 )
= e22 )
| ( ( h1 @ e10 )
= e22 ) )
& ( ( ( h1 @ e13 )
= e21 )
| ( ( h1 @ e12 )
= e21 )
| ( ( h1 @ e11 )
= e21 )
| ( ( h1 @ e10 )
= e21 ) )
& ( ( ( h1 @ e13 )
= e20 )
| ( ( h1 @ e12 )
= e20 )
| ( ( h1 @ e11 )
= e20 )
| ( ( h1 @ e10 )
= e20 ) )
& ( ( h1 @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) )
& ( ( h1 @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl564,plain,
( ( ( h2 @ e13 )
!= e23 )
| ( ( h2 @ e12 )
!= e22 )
| ( ( h2 @ e11 )
!= e21 )
| ( ( h2 @ e10 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax17,axiom,
( ( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e12 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) )
& ( ( h2 @ e11 )
= e21 ) ) ).
thf(zip_derived_cl256,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax15,axiom,
( ( e23
= ( op2 @ e21 @ e21 ) )
& ( e22
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( e20
= ( op2 @ e21 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) ) ) ).
thf(zip_derived_cl249,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1346,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl257,plain,
( ( h2 @ e12 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl249_001,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl250,plain,
( e22
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl249_002,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1735,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl1771,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl259,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(ax2,axiom,
( ( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e11 )
| ( unit1 = e10 ) )
& ( ( op1 @ e13 @ unit1 )
= e13 )
& ( ( op1 @ unit1 @ e13 )
= e13 )
& ( ( op1 @ e12 @ unit1 )
= e12 )
& ( ( op1 @ unit1 @ e12 )
= e12 )
& ( ( op1 @ e11 @ unit1 )
= e11 )
& ( ( op1 @ unit1 @ e11 )
= e11 )
& ( ( op1 @ e10 @ unit1 )
= e10 )
& ( ( op1 @ unit1 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl16,plain,
( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e11 )
| ( unit1 = e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(ax7,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_cl127,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(ax14,axiom,
( ( e13
= ( op1 @ e11 @ e11 ) )
& ( e12
= ( op1 @ e11 @ ( op1 @ e11 @ e11 ) ) )
& ( e10
= ( op1 @ e11 @ ( op1 @ e11 @ ( op1 @ e11 @ e11 ) ) ) ) ) ).
thf(zip_derived_cl246,plain,
( e13
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1327,plain,
( e13
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl246]) ).
thf(zip_derived_cl1375,plain,
( ( e13
!= ( op1 @ unit1 @ e13 ) )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( unit1 = e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1327]) ).
thf(zip_derived_cl18,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1392,plain,
( ( e13 != e13 )
| ( unit1 = e10 )
| ( unit1 = e12 )
| ( unit1 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1375,zip_derived_cl18]) ).
thf(zip_derived_cl1393,plain,
( ( unit1 = e13 )
| ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1392]) ).
thf(zip_derived_cl140,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl247,plain,
( e12
= ( op1 @ e11 @ ( op1 @ e11 @ e11 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl246_003,plain,
( e13
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1578,plain,
( e12
= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl246]) ).
thf(zip_derived_cl1582,plain,
( e12
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl1578]) ).
thf(zip_derived_cl1624,plain,
( ( e12
!= ( op1 @ e12 @ unit1 ) )
| ( unit1 = e10 )
| ( unit1 = e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1393,zip_derived_cl1582]) ).
thf(zip_derived_cl19,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1627,plain,
( ( e12 != e12 )
| ( unit1 = e10 )
| ( unit1 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1624,zip_derived_cl19]) ).
thf(zip_derived_cl1628,plain,
( ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1627]) ).
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_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_cl129,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1578_004,plain,
( e12
= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl246]) ).
thf(zip_derived_cl1580,plain,
( ( op1 @ e11 @ e10 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl1578]) ).
thf(zip_derived_cl131,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl246_005,plain,
( e13
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1329,plain,
( ( op1 @ e11 @ e10 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl246]) ).
thf(zip_derived_cl1810,plain,
( ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11,zip_derived_cl1580,zip_derived_cl1329]) ).
thf(zip_derived_cl1628_006,plain,
( ( unit1 = e12 )
| ( unit1 = e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1627]) ).
thf(zip_derived_cl130,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1650,plain,
( ( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ unit1 ) )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1628,zip_derived_cl130]) ).
thf(zip_derived_cl21,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1689,plain,
( ( ( op1 @ e11 @ e10 )
!= e11 )
| ( unit1 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1650,zip_derived_cl21]) ).
thf(zip_derived_cl1851,plain,
( ( e11 != e11 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1810,zip_derived_cl1689]) ).
thf(zip_derived_cl1852,plain,
( ( unit1 = e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1851]) ).
thf(zip_derived_cl158,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1892,plain,
( ( e10
!= ( op1 @ e12 @ e10 ) )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1852,zip_derived_cl158]) ).
thf(zip_derived_cl2074,plain,
( ( e10
!= ( op1 @ unit1 @ e10 ) )
| ( unit1 = e10 )
| ( unit1 = e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1628,zip_derived_cl1892]) ).
thf(zip_derived_cl24,plain,
( ( op1 @ unit1 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2075,plain,
( ( e10 != e10 )
| ( unit1 = e10 )
| ( unit1 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2074,zip_derived_cl24]) ).
thf(zip_derived_cl2076,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl258,plain,
( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2076_007,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl249_008,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1735_009,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl251,plain,
( e20
= ( op2 @ e21 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl249_010,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1735_011,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl2212,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2241,plain,
( ( h2 @ unit1 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl258,zip_derived_cl2076,zip_derived_cl249,zip_derived_cl1735,zip_derived_cl2212]) ).
thf(ax5,axiom,
( ( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e21 )
| ( unit2 = e20 ) )
& ( ( op2 @ e23 @ unit2 )
= e23 )
& ( ( op2 @ unit2 @ e23 )
= e23 )
& ( ( op2 @ e22 @ unit2 )
= e22 )
& ( ( op2 @ unit2 @ e22 )
= e22 )
& ( ( op2 @ e21 @ unit2 )
= e21 )
& ( ( op2 @ unit2 @ e21 )
= e21 )
& ( ( op2 @ e20 @ unit2 )
= e20 )
& ( ( op2 @ unit2 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl73,plain,
( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e21 )
| ( unit2 = e20 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax8,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_cl174,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1735_012,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl1841,plain,
( ( op2 @ e21 @ e22 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl1735]) ).
thf(zip_derived_cl1842,plain,
( ( ( op2 @ unit2 @ e22 )
!= e22 )
| ( unit2 = e20 )
| ( unit2 = e22 )
| ( unit2 = e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl1841]) ).
thf(zip_derived_cl77,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1843,plain,
( ( e22 != e22 )
| ( unit2 = e20 )
| ( unit2 = e22 )
| ( unit2 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1842,zip_derived_cl77]) ).
thf(zip_derived_cl1844,plain,
( ( unit2 = e23 )
| ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1843]) ).
thf(zip_derived_cl188,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1735_013,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl1951,plain,
( e22
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl1735]) ).
thf(zip_derived_cl1952,plain,
( ( e22
!= ( op2 @ e22 @ unit2 ) )
| ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl1951]) ).
thf(zip_derived_cl76,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1953,plain,
( ( e22 != e22 )
| ( unit2 = e20 )
| ( unit2 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1952,zip_derived_cl76]) ).
thf(zip_derived_cl1954,plain,
( ( unit2 = e22 )
| ( unit2 = e20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1953]) ).
thf(zip_derived_cl197,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2212_014,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2216,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl2212]) ).
thf(zip_derived_cl2237,plain,
( ( ( op2 @ e20 @ unit2 )
!= e20 )
| ( unit2 = e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1954,zip_derived_cl2216]) ).
thf(zip_derived_cl80,plain,
( ( op2 @ e20 @ unit2 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2238,plain,
( ( e20 != e20 )
| ( unit2 = e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl2237,zip_derived_cl80]) ).
thf(zip_derived_cl2239,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2299,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl2239_015,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(ax3,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_cl31,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2076_016,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_017,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_018,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_019,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl18_020,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2076_021,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2300,plain,
( ( ( op1 @ e13 @ e13 )
= unit1 )
| ( ( op1 @ e12 @ e13 )
= unit1 )
| ( ( op1 @ e11 @ e13 )
= unit1 )
| ( e13 = unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl2076,zip_derived_cl2076,zip_derived_cl2076,zip_derived_cl2076,zip_derived_cl18,zip_derived_cl2076]) ).
thf(ax9,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl213,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2076_022,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2125,plain,
unit1 != e13,
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl2076]) ).
thf(zip_derived_cl2301,plain,
( ( ( op1 @ e13 @ e13 )
= unit1 )
| ( ( op1 @ e12 @ e13 )
= unit1 )
| ( ( op1 @ e11 @ e13 )
= unit1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2300,zip_derived_cl2125]) ).
thf(zip_derived_cl1578_023,plain,
( e12
= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl246]) ).
thf(zip_derived_cl2302,plain,
( ( e12 = unit1 )
| ( ( op1 @ e12 @ e13 )
= unit1 )
| ( ( op1 @ e13 @ e13 )
= unit1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2301,zip_derived_cl1578]) ).
thf(zip_derived_cl214,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2076_024,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2126,plain,
unit1 != e12,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl2076]) ).
thf(zip_derived_cl2303,plain,
( ( ( op1 @ e12 @ e13 )
= unit1 )
| ( ( op1 @ e13 @ e13 )
= unit1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2302,zip_derived_cl2126]) ).
thf(zip_derived_cl38,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl33,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e13 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl248,plain,
( e10
= ( op1 @ e11 @ ( op1 @ e11 @ ( op1 @ e11 @ e11 ) ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2076_025,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl246_026,plain,
( e13
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1578_027,plain,
( e12
= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl246]) ).
thf(zip_derived_cl2200,plain,
( unit1
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl2076,zip_derived_cl246,zip_derived_cl1578]) ).
thf(zip_derived_cl2076_028,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl20,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2313,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e13 )
| ( unit1 = e13 )
| ( e12 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl2200,zip_derived_cl2076,zip_derived_cl20]) ).
thf(zip_derived_cl210,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2125_029,plain,
unit1 != e13,
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl2076]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2076_030,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl17,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2100,plain,
( e13
!= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl2076,zip_derived_cl17]) ).
thf(zip_derived_cl2314,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2313,zip_derived_cl210,zip_derived_cl2125,zip_derived_cl2100]) ).
thf(zip_derived_cl2076_031,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl19_032,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2335,plain,
( ( ( op1 @ e12 @ e13 )
= e11 )
| ( e13 = e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl2314,zip_derived_cl2076,zip_derived_cl19]) ).
thf(zip_derived_cl212,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl154,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2076_033,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl22,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2118,plain,
( e11
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl2076,zip_derived_cl22]) ).
thf(zip_derived_cl211,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2336,plain,
( ( op1 @ e12 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2335,zip_derived_cl212,zip_derived_cl2118,zip_derived_cl211]) ).
thf(zip_derived_cl2658,plain,
( ( e11 = unit1 )
| ( ( op1 @ e13 @ e13 )
= unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2303,zip_derived_cl2336]) ).
thf(zip_derived_cl215,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2076_034,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2127,plain,
unit1 != e11,
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl2076]) ).
thf(zip_derived_cl2659,plain,
( ( op1 @ e13 @ e13 )
= unit1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2658,zip_derived_cl2127]) ).
thf(zip_derived_cl2299_035,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl1346_036,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl1346_037,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(ax19,axiom,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e12 )
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e10 )
= ( op2 @ e23 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) )
& ( ( h4 @ e11 )
= e23 ) ) ).
thf(zip_derived_cl264,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(ax6,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_cl88,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl264_038,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl2239_039,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2239_040,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2239_041,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2239_042,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl75,plain,
( ( op2 @ unit2 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2239_043,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2505,plain,
( ( ( h4 @ e13 )
= unit2 )
| ( ( op2 @ e22 @ e23 )
= unit2 )
| ( ( op2 @ e21 @ e23 )
= unit2 )
| ( e23 = unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl264,zip_derived_cl2239,zip_derived_cl2239,zip_derived_cl2239,zip_derived_cl2239,zip_derived_cl75,zip_derived_cl2239]) ).
thf(ax10,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl219,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2239_044,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2276,plain,
unit2 != e23,
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl2239]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(ax4,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_cl63,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2239_045,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2430,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl63,zip_derived_cl2239]) ).
thf(zip_derived_cl202,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2239_046,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl79,plain,
( ( op2 @ unit2 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2269,plain,
( e21
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl2239,zip_derived_cl79]) ).
thf(zip_derived_cl173,plain,
( ( op2 @ e22 @ e20 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2239_047,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl76_048,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2258,plain,
( e22
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl2239,zip_derived_cl76]) ).
thf(zip_derived_cl200,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl249_049,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2060,plain,
( e23
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl249]) ).
thf(zip_derived_cl2431,plain,
( ( op2 @ e22 @ e21 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2430,zip_derived_cl2269,zip_derived_cl2258,zip_derived_cl2060]) ).
thf(zip_derived_cl2432,plain,
( unit2
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl2431]) ).
thf(zip_derived_cl2506,plain,
( ( ( h4 @ e13 )
= unit2 )
| ( ( op2 @ e21 @ e23 )
= unit2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2505,zip_derived_cl2276,zip_derived_cl2432]) ).
thf(zip_derived_cl1735_050,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl2507,plain,
( ( e22 = unit2 )
| ( ( h4 @ e13 )
= unit2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2506,zip_derived_cl1735]) ).
thf(zip_derived_cl220,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2239_051,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2277,plain,
unit2 != e22,
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl2239]) ).
thf(zip_derived_cl2508,plain,
( ( h4 @ e13 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2507,zip_derived_cl2277]) ).
thf(zip_derived_cl2509,plain,
( unit2
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl264,zip_derived_cl2508]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2314_052,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2313,zip_derived_cl210,zip_derived_cl2125,zip_derived_cl2100]) ).
thf(zip_derived_cl2200_053,plain,
( unit1
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl2076,zip_derived_cl246,zip_derived_cl1578]) ).
thf(zip_derived_cl2076_054,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl20_055,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2325,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( e13 = e11 )
| ( unit1 = e11 )
| ( e12 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl2314,zip_derived_cl2200,zip_derived_cl2076,zip_derived_cl20]) ).
thf(zip_derived_cl212_056,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2127_057,plain,
unit1 != e11,
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl2076]) ).
thf(zip_derived_cl211_058,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2326,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2325,zip_derived_cl212,zip_derived_cl2127,zip_derived_cl211]) ).
thf(zip_derived_cl259_059,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1346_060,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl1771_061,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl94,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl90,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2212_062,plain,
( e20
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2239_063,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2293,plain,
( unit2
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2212,zip_derived_cl2239]) ).
thf(zip_derived_cl2239_064,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl77_065,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2525,plain,
( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e23 )
| ( unit2 = e23 )
| ( e22 = e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl2293,zip_derived_cl2239,zip_derived_cl77]) ).
thf(zip_derived_cl216,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2276_066,plain,
unit2 != e23,
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl2239]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2239_067,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl74,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2254,plain,
( e23
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl2239,zip_derived_cl74]) ).
thf(zip_derived_cl2526,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2525,zip_derived_cl216,zip_derived_cl2276,zip_derived_cl2254]) ).
thf(zip_derived_cl2293_068,plain,
( unit2
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2212,zip_derived_cl2239]) ).
thf(zip_derived_cl2239_069,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl77_070,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2539,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( e23 = e21 )
| ( unit2 = e21 )
| ( e22 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl2526,zip_derived_cl2293,zip_derived_cl2239,zip_derived_cl77]) ).
thf(zip_derived_cl218,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl221,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2239_071,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2278,plain,
unit2 != e21,
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2239]) ).
thf(zip_derived_cl217,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2540,plain,
( ( op2 @ e23 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2539,zip_derived_cl218,zip_derived_cl2278,zip_derived_cl217]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2076_072,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl17_073,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2205,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( e13 = e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl2076,zip_derived_cl17]) ).
thf(zip_derived_cl210_074,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1578_075,plain,
( e12
= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl246]) ).
thf(zip_derived_cl1581,plain,
( e12
!= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl1578]) ).
thf(zip_derived_cl2206,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2205,zip_derived_cl210,zip_derived_cl1581]) ).
thf(zip_derived_cl2326_076,plain,
( ( op1 @ e13 @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2325,zip_derived_cl212,zip_derived_cl2127,zip_derived_cl211]) ).
thf(zip_derived_cl2331,plain,
( ( e11 = e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2206,zip_derived_cl2326]) ).
thf(zip_derived_cl212_077,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax9]) ).
thf(zip_derived_cl2332,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2331,zip_derived_cl212]) ).
thf(zip_derived_cl1771_078,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl1346_079,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl259_080,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl85,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl264_081,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl2239_082,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl74_083,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2482,plain,
( ( ( h4 @ e13 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( e23 = e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl264,zip_derived_cl2239,zip_derived_cl74]) ).
thf(zip_derived_cl216_084,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl195,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2239_085,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl77_086,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2266,plain,
( e22
!= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl2239,zip_derived_cl77]) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1735_087,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl264_088,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax19]) ).
thf(zip_derived_cl1935,plain,
( e22
!= ( h4 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl1735,zip_derived_cl264]) ).
thf(zip_derived_cl2483,plain,
( ( op2 @ e23 @ e21 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2482,zip_derived_cl216,zip_derived_cl2266,zip_derived_cl1935]) ).
thf(zip_derived_cl2076_089,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl17_090,plain,
( ( op1 @ e13 @ unit1 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1346_091,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl1346_092,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl2076_093,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_094,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl74_095,plain,
( ( op2 @ e23 @ unit2 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2336_096,plain,
( ( op1 @ e12 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2335,zip_derived_cl212,zip_derived_cl2118,zip_derived_cl211]) ).
thf(zip_derived_cl259_097,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1771_098,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl1346_099,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl95,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2526_100,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2525,zip_derived_cl216,zip_derived_cl2276,zip_derived_cl2254]) ).
thf(zip_derived_cl2431_101,plain,
( ( op2 @ e22 @ e21 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2430,zip_derived_cl2269,zip_derived_cl2258,zip_derived_cl2060]) ).
thf(zip_derived_cl2239_102,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl76_103,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2544,plain,
( ( ( op2 @ e22 @ e23 )
= e21 )
| ( e23 = e21 )
| ( unit2 = e21 )
| ( e22 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl2526,zip_derived_cl2431,zip_derived_cl2239,zip_derived_cl76]) ).
thf(zip_derived_cl218_104,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2278_105,plain,
unit2 != e21,
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl2239]) ).
thf(zip_derived_cl217_106,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax10]) ).
thf(zip_derived_cl2545,plain,
( ( op2 @ e22 @ e23 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2544,zip_derived_cl218,zip_derived_cl2278,zip_derived_cl217]) ).
thf(zip_derived_cl2314_107,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2313,zip_derived_cl210,zip_derived_cl2125,zip_derived_cl2100]) ).
thf(zip_derived_cl1346_108,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl1771_109,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl1771_110,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2526_111,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2525,zip_derived_cl216,zip_derived_cl2276,zip_derived_cl2254]) ).
thf(zip_derived_cl40,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2336_112,plain,
( ( op1 @ e12 @ e13 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2335,zip_derived_cl212,zip_derived_cl2118,zip_derived_cl211]) ).
thf(zip_derived_cl2076_113,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2314_114,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2313,zip_derived_cl210,zip_derived_cl2125,zip_derived_cl2100]) ).
thf(zip_derived_cl2076_115,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_116,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_117,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl19_118,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2076_119,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2345,plain,
( ( e11 = unit1 )
| ( e13 = unit1 )
| ( ( op1 @ e12 @ e11 )
= unit1 )
| ( e12 = unit1 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl2336,zip_derived_cl2076,zip_derived_cl2314,zip_derived_cl2076,zip_derived_cl2076,zip_derived_cl2076,zip_derived_cl19,zip_derived_cl2076]) ).
thf(zip_derived_cl2126_120,plain,
unit1 != e12,
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl2076]) ).
thf(zip_derived_cl2125_121,plain,
unit1 != e13,
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl2076]) ).
thf(zip_derived_cl2127_122,plain,
unit1 != e11,
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl2076]) ).
thf(zip_derived_cl2346,plain,
( ( op1 @ e12 @ e11 )
= unit1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2345,zip_derived_cl2126,zip_derived_cl2125,zip_derived_cl2127]) ).
thf(zip_derived_cl2299_123,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl1771_124,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl259_125,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2431_126,plain,
( ( op2 @ e22 @ e21 )
= unit2 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2430,zip_derived_cl2269,zip_derived_cl2258,zip_derived_cl2060]) ).
thf(zip_derived_cl2076_127,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl19_128,plain,
( ( op1 @ e12 @ unit1 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1771_129,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl1771_130,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2076_131,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_132,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl76_133,plain,
( ( op2 @ e22 @ unit2 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1578_134,plain,
( e12
= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl247,zip_derived_cl246]) ).
thf(zip_derived_cl1771_135,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl259_136,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1346_137,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl1735_138,plain,
( e22
= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl249]) ).
thf(zip_derived_cl2200_139,plain,
( unit1
= ( op1 @ e11 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl2076,zip_derived_cl246,zip_derived_cl1578]) ).
thf(zip_derived_cl2299_140,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl259_141,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1771_142,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2293_143,plain,
( unit2
= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl2212,zip_derived_cl2239]) ).
thf(zip_derived_cl246_144,plain,
( e13
= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1346_145,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl259_146,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl259_147,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl249_148,plain,
( e23
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2076_149,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl21_150,plain,
( ( op1 @ e11 @ unit1 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl259_151,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl259_152,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2076_153,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_154,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl78,plain,
( ( op2 @ e21 @ unit2 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2076_155,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl18_156,plain,
( ( op1 @ unit1 @ e13 )
= e13 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1346_157,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl2076_158,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_159,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl1346_160,plain,
( ( h2 @ e13 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl249]) ).
thf(zip_derived_cl75_161,plain,
( ( op2 @ unit2 @ e23 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2076_162,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl20_163,plain,
( ( op1 @ unit1 @ e12 )
= e12 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1771_164,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl2076_165,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_166,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl1771_167,plain,
( ( h2 @ e12 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl249,zip_derived_cl1735]) ).
thf(zip_derived_cl77_168,plain,
( ( op2 @ unit2 @ e22 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2076_169,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl22_170,plain,
( ( op1 @ unit1 @ e11 )
= e11 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl259_171,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl2076_172,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_173,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl259_174,plain,
( ( h2 @ e11 )
= e21 ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl79_175,plain,
( ( op2 @ unit2 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2076_176,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_177,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl23,plain,
( ( op1 @ e10 @ unit1 )
= e10 ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2076_178,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2076_179,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2097,plain,
( ( op1 @ unit1 @ unit1 )
= unit1 ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl2076,zip_derived_cl2076]) ).
thf(zip_derived_cl2299_180,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl2076_181,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_182,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl2076_183,plain,
unit1 = e10,
inference(simplify,[status(thm)],[zip_derived_cl2075]) ).
thf(zip_derived_cl2299_184,plain,
( ( h2 @ unit1 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl2239]) ).
thf(zip_derived_cl80_185,plain,
( ( op2 @ e20 @ unit2 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2239_186,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2239_187,plain,
unit2 = e20,
inference(simplify,[status(thm)],[zip_derived_cl2238]) ).
thf(zip_derived_cl2252,plain,
( ( op2 @ unit2 @ unit2 )
= unit2 ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl2239,zip_derived_cl2239]) ).
thf(zip_derived_cl4150,plain,
( ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( unit2 != unit2 )
| ( unit2 != unit2 )
| ( e21 != e21 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( unit2 != unit2 )
| ( e22 != e22 )
| ( e22 != e22 )
| ( unit2 != unit2 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( unit2 != unit2 ) ),
inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl1346,zip_derived_cl1771,zip_derived_cl259,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl2239,zip_derived_cl2659,zip_derived_cl2299,zip_derived_cl1346,zip_derived_cl1346,zip_derived_cl2509,zip_derived_cl2326,zip_derived_cl259,zip_derived_cl1346,zip_derived_cl1771,zip_derived_cl2540,zip_derived_cl2332,zip_derived_cl1771,zip_derived_cl1346,zip_derived_cl259,zip_derived_cl2483,zip_derived_cl2076,zip_derived_cl17,zip_derived_cl1346,zip_derived_cl1346,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl74,zip_derived_cl2336,zip_derived_cl259,zip_derived_cl1771,zip_derived_cl1346,zip_derived_cl2545,zip_derived_cl2314,zip_derived_cl1346,zip_derived_cl1771,zip_derived_cl1771,zip_derived_cl2526,zip_derived_cl2346,zip_derived_cl2299,zip_derived_cl1771,zip_derived_cl259,zip_derived_cl2431,zip_derived_cl2076,zip_derived_cl19,zip_derived_cl1771,zip_derived_cl1771,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl76,zip_derived_cl1578,zip_derived_cl1771,zip_derived_cl259,zip_derived_cl1346,zip_derived_cl1735,zip_derived_cl2200,zip_derived_cl2299,zip_derived_cl259,zip_derived_cl1771,zip_derived_cl2293,zip_derived_cl246,zip_derived_cl1346,zip_derived_cl259,zip_derived_cl259,zip_derived_cl249,zip_derived_cl2076,zip_derived_cl21,zip_derived_cl259,zip_derived_cl259,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl78,zip_derived_cl2076,zip_derived_cl18,zip_derived_cl1346,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl1346,zip_derived_cl75,zip_derived_cl2076,zip_derived_cl20,zip_derived_cl1771,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl1771,zip_derived_cl77,zip_derived_cl2076,zip_derived_cl22,zip_derived_cl259,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl259,zip_derived_cl79,zip_derived_cl2076,zip_derived_cl2076,zip_derived_cl2097,zip_derived_cl2299,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl2076,zip_derived_cl2299,zip_derived_cl2252]) ).
thf(zip_derived_cl4151,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG038+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.jKwhza1bE4 true
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:03:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.42/0.61 % Total configuration time : 435
% 0.42/0.61 % Estimated wc time : 1092
% 0.42/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.04/1.86 % Solved by fo/fo5.sh.
% 9.04/1.86 % done 1073 iterations in 1.106s
% 9.04/1.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.04/1.86 % SZS output start Refutation
% See solution above
% 9.04/1.87
% 9.04/1.87
% 9.04/1.87 % Terminating...
% 9.04/1.92 % Runner terminated.
% 9.04/1.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------