TSTP Solution File: ALG114+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eIbOaJomHh true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:10:55 EDT 2023
% Result : Theorem 8.34s 1.83s
% Output : Refutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 127
% Syntax : Number of formulae : 606 ( 343 unt; 78 typ; 0 def)
% Number of atoms : 1635 (1434 equ; 0 cnn)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5046 ( 428 ~; 653 |; 422 &;3511 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 46 usr; 41 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_18_type,type,
zip_tseitin_18: $o ).
thf(zip_tseitin_26_type,type,
zip_tseitin_26: $o ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $o ).
thf(zip_tseitin_22_type,type,
zip_tseitin_22: $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $o ).
thf(h3_type,type,
h3: $i > $i ).
thf(zip_tseitin_25_type,type,
zip_tseitin_25: $o ).
thf(e13_type,type,
e13: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $o ).
thf(e12_type,type,
e12: $i ).
thf(e22_type,type,
e22: $i ).
thf(zip_tseitin_21_type,type,
zip_tseitin_21: $o ).
thf(e21_type,type,
e21: $i ).
thf(e11_type,type,
e11: $i ).
thf(zip_tseitin_28_type,type,
zip_tseitin_28: $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $o ).
thf(zip_tseitin_24_type,type,
zip_tseitin_24: $o ).
thf(zip_tseitin_30_type,type,
zip_tseitin_30: $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $o ).
thf(zip_tseitin_29_type,type,
zip_tseitin_29: $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $o ).
thf(e10_type,type,
e10: $i ).
thf(zip_tseitin_31_type,type,
zip_tseitin_31: $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $o ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $o ).
thf(h1_type,type,
h1: $i > $i ).
thf(zip_tseitin_27_type,type,
zip_tseitin_27: $o ).
thf(zip_tseitin_23_type,type,
zip_tseitin_23: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $o ).
thf(e20_type,type,
e20: $i ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $o ).
thf(h4_type,type,
h4: $i > $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(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_cl785,plain,
( ( ( h2 @ e10 )
!= e23 )
| ( ( h2 @ e11 )
!= e22 )
| ( ( h2 @ e12 )
!= e21 )
| ( ( h2 @ e13 )
!= e20 )
| ( ( h2 @ ( op1 @ e13 @ e13 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e12 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e11 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e13 @ e10 ) )
!= ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e13 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e12 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e11 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e12 @ e10 ) )
!= ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e13 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e12 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e11 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e11 @ e10 ) )
!= ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e13 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e12 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e11 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) )
| ( ( h2 @ ( op1 @ e10 @ e10 ) )
!= ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax15,axiom,
( ( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e11 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e10 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) )
& ( ( h2 @ e12 )
= e21 ) ) ).
thf(zip_derived_cl304,plain,
( ( h2 @ e10 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl302,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1864,plain,
( ( h2 @ e10 )
= ( op2 @ ( h2 @ e13 ) @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl304,zip_derived_cl302]) ).
thf(zip_derived_cl302_001,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_17
=> ( ( ( op2 @ e20 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ) ).
thf(zip_derived_cl259,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1678,plain,
( ( ( h2 @ e13 )
= e20 )
| ~ zip_tseitin_17 ),
inference('sup+',[status(thm)],[zip_derived_cl302,zip_derived_cl259]) ).
thf(zf_stmt_2,type,
zip_tseitin_31: $o ).
thf(zf_stmt_3,axiom,
( zip_tseitin_31
=> ( ( ( op2 @ e23 @ e23 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e23 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_30: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_30
=> ( ( ( op2 @ e23 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_29: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_29
=> ( ( ( op2 @ e23 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_28: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_28
=> ( ( ( op2 @ e23 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_27: $o ).
thf(zf_stmt_11,axiom,
( zip_tseitin_27
=> ( ( ( op2 @ e22 @ e22 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e22 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_26: $o ).
thf(zf_stmt_13,axiom,
( zip_tseitin_26
=> ( ( ( op2 @ e22 @ e22 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e22 ) ) ) ).
thf(zf_stmt_14,type,
zip_tseitin_25: $o ).
thf(zf_stmt_15,axiom,
( zip_tseitin_25
=> ( ( ( op2 @ e22 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_24: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_24
=> ( ( ( op2 @ e22 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_23: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_23
=> ( ( ( op2 @ e21 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_22: $o ).
thf(zf_stmt_21,axiom,
( zip_tseitin_22
=> ( ( ( op2 @ e21 @ e21 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e21 ) ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_21: $o ).
thf(zf_stmt_23,axiom,
( zip_tseitin_21
=> ( ( ( op2 @ e21 @ e21 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e21 ) ) ) ).
thf(zf_stmt_24,type,
zip_tseitin_20: $o ).
thf(zf_stmt_25,axiom,
( zip_tseitin_20
=> ( ( ( op2 @ e21 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zf_stmt_26,type,
zip_tseitin_19: $o ).
thf(zf_stmt_27,axiom,
( zip_tseitin_19
=> ( ( ( op2 @ e20 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_28,type,
zip_tseitin_18: $o ).
thf(zf_stmt_29,axiom,
( zip_tseitin_18
=> ( ( ( op2 @ e20 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_30,type,
zip_tseitin_17: $o ).
thf(zf_stmt_31,type,
zip_tseitin_16: $o ).
thf(zf_stmt_32,axiom,
( zip_tseitin_16
=> ( ( ( op2 @ e20 @ e20 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zf_stmt_33,axiom,
( ( zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28 )
& ( zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24 )
& ( zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20 )
& ( zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 ) ) ).
thf(zip_derived_cl291,plain,
( zip_tseitin_19
| zip_tseitin_18
| zip_tseitin_17
| zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl261,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(ax13,axiom,
( ( e23
= ( op2 @ e22 @ e22 ) )
& ( e21
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) )
& ( e20
= ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) ) ) ).
thf(zip_derived_cl295,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1575,plain,
( ( e23 = e20 )
| ~ zip_tseitin_18 ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl295]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1576,plain,
~ zip_tseitin_18,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1575,zip_derived_cl201]) ).
thf(zip_derived_cl1577,plain,
( zip_tseitin_19
| zip_tseitin_17
| zip_tseitin_16 ),
inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl1576]) ).
thf(zip_derived_cl257,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl256,plain,
( ( ( op2 @ e20 @ e20 )
!= e20 )
| ~ zip_tseitin_16 ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl1539,plain,
~ zip_tseitin_16,
inference(clc,[status(thm)],[zip_derived_cl257,zip_derived_cl256]) ).
thf(zip_derived_cl1578,plain,
( zip_tseitin_17
| zip_tseitin_19 ),
inference(clc,[status(thm)],[zip_derived_cl1577,zip_derived_cl1539]) ).
thf(zip_derived_cl263,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
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_cl144,plain,
( ( op2 @ e23 @ e22 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1580,plain,
( ( ( op2 @ e23 @ e22 )
!= e20 )
| ~ zip_tseitin_19 ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl144]) ).
thf(zip_derived_cl297,plain,
( e20
= ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl295_002,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1812,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1818,plain,
( ( e20 != e20 )
| ~ zip_tseitin_19 ),
inference(demod,[status(thm)],[zip_derived_cl1580,zip_derived_cl1812]) ).
thf(zip_derived_cl1819,plain,
~ zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(zip_derived_cl1826,plain,
zip_tseitin_17,
inference(demod,[status(thm)],[zip_derived_cl1578,zip_derived_cl1819]) ).
thf(zip_derived_cl1838,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl1921,plain,
( ( h2 @ e10 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1864,zip_derived_cl1838]) ).
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_cl62,plain,
( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl185,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl302_003,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1674,plain,
( ( op2 @ e20 @ e21 )
!= ( h2 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl302]) ).
thf(zip_derived_cl1838_004,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl1917,plain,
( ( op2 @ e20 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1674,zip_derived_cl1838]) ).
thf(zip_derived_cl184,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl54,plain,
( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1578_005,plain,
( zip_tseitin_17
| zip_tseitin_19 ),
inference(clc,[status(thm)],[zip_derived_cl1577,zip_derived_cl1539]) ).
thf(zip_derived_cl259_006,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1574,plain,
( ( e20
!= ( op2 @ e22 @ e21 ) )
| ~ zip_tseitin_17 ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl182]) ).
thf(zip_derived_cl1588,plain,
( zip_tseitin_19
| ( e20
!= ( op2 @ e22 @ e21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1578,zip_derived_cl1574]) ).
thf(zip_derived_cl1819_007,plain,
~ zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(zip_derived_cl1828,plain,
( e20
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1588,zip_derived_cl1819]) ).
thf(zip_derived_cl180,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
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_cl146,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1812_008,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1813,plain,
( ( op2 @ e23 @ e21 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl1812]) ).
thf(zip_derived_cl145,plain,
( ( op2 @ e23 @ e21 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax17,axiom,
( ( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) )
& ( ( h4 @ e11 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) )
& ( ( h4 @ e10 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
& ( ( h4 @ e12 )
= e23 ) ) ).
thf(zip_derived_cl310,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1711,plain,
( ( op2 @ e23 @ e21 )
!= ( h4 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl310]) ).
thf(zip_derived_cl310_009,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl271,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl1720,plain,
( ( ( h4 @ e13 )
= e21 )
| ~ zip_tseitin_23 ),
inference('sup+',[status(thm)],[zip_derived_cl310,zip_derived_cl271]) ).
thf(zip_derived_cl259_010,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl290,plain,
( zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_21
| zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl267,plain,
( ( ( op2 @ e21 @ e21 )
= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl266,plain,
( ( ( op2 @ e21 @ e21 )
!= e21 )
| ~ zip_tseitin_21 ),
inference(cnf,[status(esa)],[zf_stmt_23]) ).
thf(zip_derived_cl1583,plain,
~ zip_tseitin_21,
inference(clc,[status(thm)],[zip_derived_cl267,zip_derived_cl266]) ).
thf(zip_derived_cl1584,plain,
( zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl1583]) ).
thf(zip_derived_cl269,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl295_011,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1611,plain,
( ( e23 = e21 )
| ~ zip_tseitin_22 ),
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl295]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1612,plain,
~ zip_tseitin_22,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1611,zip_derived_cl199]) ).
thf(zip_derived_cl1613,plain,
( zip_tseitin_23
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl1584,zip_derived_cl1612]) ).
thf(zip_derived_cl264,plain,
( ( ( op2 @ e21 @ e21 )
!= e20 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl1614,plain,
( zip_tseitin_23
| ( ( op2 @ e21 @ e21 )
!= e20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1613,zip_derived_cl264]) ).
thf(zip_derived_cl1647,plain,
( ( e20 != e20 )
| ~ zip_tseitin_17
| zip_tseitin_23 ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl1614]) ).
thf(zip_derived_cl1649,plain,
( zip_tseitin_23
| ~ zip_tseitin_17 ),
inference(simplify,[status(thm)],[zip_derived_cl1647]) ).
thf(zip_derived_cl1578_012,plain,
( zip_tseitin_17
| zip_tseitin_19 ),
inference(clc,[status(thm)],[zip_derived_cl1577,zip_derived_cl1539]) ).
thf(zip_derived_cl1692,plain,
( zip_tseitin_23
| zip_tseitin_19 ),
inference('sup+',[status(thm)],[zip_derived_cl1649,zip_derived_cl1578]) ).
thf(zip_derived_cl1819_013,plain,
~ zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(zip_derived_cl1830,plain,
zip_tseitin_23,
inference('sup-',[status(thm)],[zip_derived_cl1692,zip_derived_cl1819]) ).
thf(zip_derived_cl1857,plain,
( ( h4 @ e13 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl1720,zip_derived_cl1830]) ).
thf(zip_derived_cl1984,plain,
( ( op2 @ e23 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl1711,zip_derived_cl1857]) ).
thf(zip_derived_cl2208,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl50,zip_derived_cl1813,zip_derived_cl1984]) ).
thf(zip_derived_cl149,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl51,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl148,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1812_014,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1814,plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl1812]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl310_015,plain,
( ( h4 @ e13 )
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl1712,plain,
( ( op2 @ e23 @ e20 )
!= ( h4 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl310]) ).
thf(zip_derived_cl1857_016,plain,
( ( h4 @ e13 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl1720,zip_derived_cl1830]) ).
thf(zip_derived_cl1985,plain,
( ( op2 @ e23 @ e20 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl1712,zip_derived_cl1857]) ).
thf(zip_derived_cl189,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax14,axiom,
( ( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e11 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e10 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
& ( ( h1 @ e12 )
= e20 ) ) ).
thf(zip_derived_cl298,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1550,plain,
( ( h1 @ e13 )
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl189,zip_derived_cl298]) ).
thf(zip_derived_cl298_017,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl273,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1622,plain,
( ( ( h1 @ e13 )
= e22 )
| ~ zip_tseitin_24 ),
inference('sup+',[status(thm)],[zip_derived_cl298,zip_derived_cl273]) ).
thf(zip_derived_cl289,plain,
( zip_tseitin_27
| zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl278,plain,
( ( ( op2 @ e22 @ e22 )
!= e23 )
| ~ zip_tseitin_27 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl295_018,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1502,plain,
( ( e23 != e23 )
| ~ zip_tseitin_27 ),
inference(demod,[status(thm)],[zip_derived_cl278,zip_derived_cl295]) ).
thf(zip_derived_cl1503,plain,
~ zip_tseitin_27,
inference(simplify,[status(thm)],[zip_derived_cl1502]) ).
thf(zip_derived_cl1536,plain,
( zip_tseitin_26
| zip_tseitin_25
| zip_tseitin_24 ),
inference(demod,[status(thm)],[zip_derived_cl289,zip_derived_cl1503]) ).
thf(zip_derived_cl295_019,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl277,plain,
( ( ( op2 @ e22 @ e22 )
= e22 )
| ~ zip_tseitin_26 ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl1630,plain,
( ( e23 = e22 )
| ~ zip_tseitin_26 ),
inference('sup+',[status(thm)],[zip_derived_cl295,zip_derived_cl277]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1631,plain,
~ zip_tseitin_26,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1630,zip_derived_cl198]) ).
thf(zip_derived_cl1632,plain,
( zip_tseitin_25
| zip_tseitin_24 ),
inference(demod,[status(thm)],[zip_derived_cl1536,zip_derived_cl1631]) ).
thf(zip_derived_cl275,plain,
( ( ( op2 @ e21 @ e21 )
= e22 )
| ~ zip_tseitin_25 ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl259_020,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1628,plain,
( ( e22 = e20 )
| ~ zip_tseitin_25
| ~ zip_tseitin_17 ),
inference('sup+',[status(thm)],[zip_derived_cl275,zip_derived_cl259]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1629,plain,
( ~ zip_tseitin_25
| ~ zip_tseitin_17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1628,zip_derived_cl202]) ).
thf(zip_derived_cl1826_021,plain,
zip_tseitin_17,
inference(demod,[status(thm)],[zip_derived_cl1578,zip_derived_cl1819]) ).
thf(zip_derived_cl1835,plain,
~ zip_tseitin_25,
inference(demod,[status(thm)],[zip_derived_cl1629,zip_derived_cl1826]) ).
thf(zip_derived_cl1848,plain,
zip_tseitin_24,
inference(demod,[status(thm)],[zip_derived_cl1632,zip_derived_cl1835]) ).
thf(zip_derived_cl1859,plain,
( ( h1 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl1622,zip_derived_cl1848]) ).
thf(zip_derived_cl2018,plain,
( e22
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1550,zip_derived_cl1859]) ).
thf(zip_derived_cl2213,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51,zip_derived_cl1814,zip_derived_cl1985,zip_derived_cl2018]) ).
thf(zip_derived_cl2214,plain,
( e23
!= ( op2 @ e23 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl2213]) ).
thf(zip_derived_cl2220,plain,
( ( e23 != e23 )
| ( ( op2 @ e23 @ e21 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2208,zip_derived_cl2214]) ).
thf(zip_derived_cl2221,plain,
( ( op2 @ e23 @ e21 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2220]) ).
thf(zip_derived_cl2226,plain,
( ( op2 @ e22 @ e21 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl180,zip_derived_cl2221]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl295_022,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1494,plain,
( ( op2 @ e22 @ e21 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl295]) ).
thf(zip_derived_cl2237,plain,
( ( op2 @ e22 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54,zip_derived_cl1828,zip_derived_cl2226,zip_derived_cl1494]) ).
thf(zip_derived_cl2240,plain,
( ( op2 @ e20 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl2237]) ).
thf(zip_derived_cl167,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl298_023,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1549,plain,
( ( h1 @ e13 )
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl298]) ).
thf(zip_derived_cl1859_024,plain,
( ( h1 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl1622,zip_derived_cl1848]) ).
thf(zip_derived_cl2017,plain,
( e22
!= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl1859]) ).
thf(zip_derived_cl2288,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl62,zip_derived_cl1917,zip_derived_cl2240,zip_derived_cl2017]) ).
thf(zip_derived_cl2385,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl303,plain,
( ( h2 @ e11 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl311,plain,
( ( h4 @ e11 )
= ( op2 @ ( op2 @ e23 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax17]) ).
thf(zip_derived_cl296,plain,
( e21
= ( op2 @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl295_025,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl295_026,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl2041,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295,zip_derived_cl295]) ).
thf(zip_derived_cl2041_027,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295,zip_derived_cl295]) ).
thf(zip_derived_cl2043,plain,
( ( h4 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl2041,zip_derived_cl2041]) ).
thf(zip_derived_cl2043_028,plain,
( ( h4 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl2041,zip_derived_cl2041]) ).
thf(zip_derived_cl2044,plain,
( ( h2 @ e11 )
= ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl2043,zip_derived_cl2043]) ).
thf(zip_derived_cl2043_029,plain,
( ( h4 @ e11 )
= ( op2 @ e21 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl2041,zip_derived_cl2041]) ).
thf(zip_derived_cl259_030,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1826_031,plain,
zip_tseitin_17,
inference(demod,[status(thm)],[zip_derived_cl1578,zip_derived_cl1819]) ).
thf(zip_derived_cl1832,plain,
( ( op2 @ e21 @ e21 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1826]) ).
thf(zip_derived_cl2046,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl2043,zip_derived_cl1832]) ).
thf(zip_derived_cl2046_032,plain,
( ( h4 @ e11 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl2043,zip_derived_cl1832]) ).
thf(zip_derived_cl273_033,plain,
( ( ( op2 @ e20 @ e20 )
= e22 )
| ~ zip_tseitin_24 ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl1848_034,plain,
zip_tseitin_24,
inference(demod,[status(thm)],[zip_derived_cl1632,zip_derived_cl1835]) ).
thf(zip_derived_cl1858,plain,
( ( op2 @ e20 @ e20 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl1848]) ).
thf(zip_derived_cl2059,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl305,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1838_035,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(ax12,axiom,
( ( e13
= ( op1 @ e12 @ e12 ) )
& ( e11
= ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) ) )
& ( e10
= ( op1 @ ( op1 @ e12 @ e12 ) @ e12 ) ) ) ).
thf(zip_derived_cl293,plain,
( e11
= ( op1 @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e12 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl292,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl292_036,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1867,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl2059_037,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl1838_038,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl1838_039,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl1858_040,plain,
( ( op2 @ e20 @ e20 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl1848]) ).
thf(zip_derived_cl294,plain,
( e10
= ( op1 @ ( op1 @ e12 @ e12 ) @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl292_041,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1755,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl2385_042,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl1838_043,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl305_044,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2288_045,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl62,zip_derived_cl1917,zip_derived_cl2240,zip_derived_cl2017]) ).
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_cl19,plain,
( ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1867_046,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl1755_047,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl1957,plain,
( ( e11 = e12 )
| ( e10 = e12 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl1867,zip_derived_cl1755]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1958,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1957,zip_derived_cl196,zip_derived_cl194]) ).
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_cl141,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(ax10,axiom,
( ( ( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e10 @ e10 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) ) ) ) ).
thf(zf_stmt_34,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e12 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zip_derived_cl237,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zf_stmt_35,type,
zip_tseitin_15: $o ).
thf(zf_stmt_36,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_37,type,
zip_tseitin_14: $o ).
thf(zf_stmt_38,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e13 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_39,type,
zip_tseitin_13: $o ).
thf(zf_stmt_40,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e13 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_41,type,
zip_tseitin_12: $o ).
thf(zf_stmt_42,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e13 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_43,type,
zip_tseitin_11: $o ).
thf(zf_stmt_44,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e12 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_45,type,
zip_tseitin_10: $o ).
thf(zf_stmt_46,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_47,type,
zip_tseitin_9: $o ).
thf(zf_stmt_48,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e12 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_49,type,
zip_tseitin_8: $o ).
thf(zf_stmt_50,type,
zip_tseitin_7: $o ).
thf(zf_stmt_51,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e11 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_52,type,
zip_tseitin_6: $o ).
thf(zf_stmt_53,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e11 @ e11 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e11 ) ) ) ).
thf(zf_stmt_54,type,
zip_tseitin_5: $o ).
thf(zf_stmt_55,axiom,
( zip_tseitin_5
=> ( ( ( op1 @ e11 @ e11 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e11 ) ) ) ).
thf(zf_stmt_56,type,
zip_tseitin_4: $o ).
thf(zf_stmt_57,axiom,
( zip_tseitin_4
=> ( ( ( op1 @ e11 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_58,type,
zip_tseitin_3: $o ).
thf(zf_stmt_59,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e10 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_60,type,
zip_tseitin_2: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e10 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_1: $o ).
thf(zf_stmt_63,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e10 @ e10 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e10 ) ) ) ).
thf(zf_stmt_64,type,
zip_tseitin_0: $o ).
thf(zf_stmt_65,axiom,
( zip_tseitin_0
=> ( ( ( op1 @ e10 @ e10 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zf_stmt_66,axiom,
( ( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12 )
& ( zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8 )
& ( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 )
& ( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ) ) ).
thf(zip_derived_cl253,plain,
( zip_tseitin_11
| zip_tseitin_10
| zip_tseitin_9
| zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl242,plain,
( ( ( op1 @ e12 @ e12 )
!= e13 )
| ~ zip_tseitin_11 ),
inference(cnf,[status(esa)],[zf_stmt_44]) ).
thf(zip_derived_cl292_048,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1446,plain,
( ( e13 != e13 )
| ~ zip_tseitin_11 ),
inference(demod,[status(thm)],[zip_derived_cl242,zip_derived_cl292]) ).
thf(zip_derived_cl1447,plain,
~ zip_tseitin_11,
inference(simplify,[status(thm)],[zip_derived_cl1446]) ).
thf(zip_derived_cl241,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf(zip_derived_cl240,plain,
( ( ( op1 @ e12 @ e12 )
!= e12 )
| ~ zip_tseitin_10 ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf(zip_derived_cl1433,plain,
~ zip_tseitin_10,
inference(clc,[status(thm)],[zip_derived_cl241,zip_derived_cl240]) ).
thf(zip_derived_cl1490,plain,
( zip_tseitin_9
| zip_tseitin_8 ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl1447,zip_derived_cl1433]) ).
thf(zip_derived_cl239,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf(zip_derived_cl255,plain,
( zip_tseitin_3
| zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl225,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf(zip_derived_cl292_049,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1440,plain,
( ( e13 = e10 )
| ~ zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl292]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1441,plain,
~ zip_tseitin_2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1440,zip_derived_cl195]) ).
thf(zip_derived_cl1530,plain,
( zip_tseitin_3
| zip_tseitin_1
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl1441]) ).
thf(zip_derived_cl221,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf(zip_derived_cl220,plain,
( ( ( op1 @ e10 @ e10 )
!= e10 )
| ~ zip_tseitin_0 ),
inference(cnf,[status(esa)],[zf_stmt_65]) ).
thf(zip_derived_cl1426,plain,
~ zip_tseitin_0,
inference(clc,[status(thm)],[zip_derived_cl221,zip_derived_cl220]) ).
thf(zip_derived_cl1531,plain,
( zip_tseitin_1
| zip_tseitin_3 ),
inference(clc,[status(thm)],[zip_derived_cl1530,zip_derived_cl1426]) ).
thf(zip_derived_cl227,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf(zip_derived_cl1867_050,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl1873,plain,
( ( e11 = e10 )
| ~ zip_tseitin_3 ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl1867]) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1874,plain,
~ zip_tseitin_3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1873,zip_derived_cl197]) ).
thf(zip_derived_cl1885,plain,
zip_tseitin_1,
inference(demod,[status(thm)],[zip_derived_cl1531,zip_derived_cl1874]) ).
thf(zip_derived_cl1890,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl1936,plain,
( ( e10 = e12 )
| ~ zip_tseitin_9 ),
inference(demod,[status(thm)],[zip_derived_cl239,zip_derived_cl1890]) ).
thf(zip_derived_cl196_051,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1937,plain,
~ zip_tseitin_9,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1936,zip_derived_cl196]) ).
thf(zip_derived_cl1953,plain,
zip_tseitin_8,
inference(demod,[status(thm)],[zip_derived_cl1490,zip_derived_cl1937]) ).
thf(zip_derived_cl1956,plain,
( ( op1 @ e10 @ e10 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl1953]) ).
thf(zip_derived_cl1998,plain,
( e12
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl1956]) ).
thf(zip_derived_cl2006,plain,
( ( e12 != e12 )
| ( ( op1 @ e13 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1958,zip_derived_cl1998]) ).
thf(zip_derived_cl2008,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl305_052,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1838_053,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl2059_054,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl61,plain,
( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl177,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1812_055,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1816,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl1812]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl298_056,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1548,plain,
( ( h1 @ e13 )
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl298]) ).
thf(zip_derived_cl1859_057,plain,
( ( h1 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl1622,zip_derived_cl1848]) ).
thf(zip_derived_cl2016,plain,
( e22
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1548,zip_derived_cl1859]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl295_058,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1498,plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl295]) ).
thf(zip_derived_cl2282,plain,
( ( op2 @ e20 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61,zip_derived_cl1816,zip_derived_cl2016,zip_derived_cl1498]) ).
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_cl1755_059,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl1840,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( e10 = e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl1755]) ).
thf(zip_derived_cl195_060,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1841,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1840,zip_derived_cl195]) ).
thf(zip_derived_cl1867_061,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl1883,plain,
( ( e11 = e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1841,zip_derived_cl1867]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1884,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1883,zip_derived_cl193]) ).
thf(zip_derived_cl2008_062,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl2055,plain,
( ( e12 = e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1884,zip_derived_cl2008]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2056,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2055,zip_derived_cl192]) ).
thf(zip_derived_cl1838_063,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl1838_064,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl2385_065,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
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_cl70,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2041_066,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295,zip_derived_cl295]) ).
thf(zip_derived_cl66,plain,
( ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2041_067,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295,zip_derived_cl295]) ).
thf(zip_derived_cl2305,plain,
( ( e21 = e22 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl2041]) ).
thf(zip_derived_cl165,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl298_068,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1547,plain,
( ( h1 @ e13 )
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl298]) ).
thf(zip_derived_cl1859_069,plain,
( ( h1 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl1622,zip_derived_cl1848]) ).
thf(zip_derived_cl2015,plain,
( e22
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1547,zip_derived_cl1859]) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2306,plain,
( ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2305,zip_derived_cl2015,zip_derived_cl200]) ).
thf(zip_derived_cl156,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl57,plain,
( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl175,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1812_070,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1815,plain,
( ( op2 @ e21 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl1812]) ).
thf(zip_derived_cl176,plain,
( ( op2 @ e21 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl295_071,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1497,plain,
( ( op2 @ e21 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl295]) ).
thf(zip_derived_cl2255,plain,
( ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl57,zip_derived_cl1815,zip_derived_cl1497]) ).
thf(zip_derived_cl160,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
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_cl161,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl302_072,plain,
( ( h2 @ e13 )
= ( op2 @ e21 @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1671,plain,
( ( op2 @ e21 @ e20 )
!= ( h2 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl302]) ).
thf(zip_derived_cl1838_073,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl1914,plain,
( ( op2 @ e21 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl1838]) ).
thf(zip_derived_cl191,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e21 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl298_074,plain,
( ( h1 @ e13 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1552,plain,
( ( h1 @ e13 )
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl298]) ).
thf(zip_derived_cl1859_075,plain,
( ( h1 @ e13 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl1622,zip_derived_cl1848]) ).
thf(zip_derived_cl2020,plain,
( e22
!= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1552,zip_derived_cl1859]) ).
thf(zip_derived_cl187,plain,
( ( op2 @ e21 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2213_076,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51,zip_derived_cl1814,zip_derived_cl1985,zip_derived_cl2018]) ).
thf(zip_derived_cl2216,plain,
( ( op2 @ e21 @ e20 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl2213]) ).
thf(zip_derived_cl2259,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl59,zip_derived_cl1914,zip_derived_cl2020,zip_derived_cl2216]) ).
thf(zip_derived_cl2261,plain,
( e21
!= ( op2 @ e21 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl2259]) ).
thf(zip_derived_cl2275,plain,
( ( e21 != e21 )
| ( ( op2 @ e21 @ e22 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2255,zip_derived_cl2261]) ).
thf(zip_derived_cl2276,plain,
( ( op2 @ e21 @ e22 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2275]) ).
thf(zip_derived_cl2277,plain,
( e22
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl2276]) ).
thf(zip_derived_cl2318,plain,
( ( e22 != e22 )
| ( ( op2 @ e22 @ e23 )
= e22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2306,zip_derived_cl2277]) ).
thf(zip_derived_cl2320,plain,
( ( op2 @ e22 @ e23 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2318]) ).
thf(zip_derived_cl2334,plain,
( ( e21 = e20 )
| ( e22 = e20 )
| ( ( op2 @ e21 @ e23 )
= e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl2041,zip_derived_cl2320]) ).
thf(zip_derived_cl1578_077,plain,
( zip_tseitin_17
| zip_tseitin_19 ),
inference(clc,[status(thm)],[zip_derived_cl1577,zip_derived_cl1539]) ).
thf(zip_derived_cl259_078,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1571,plain,
( ( e20
!= ( op2 @ e21 @ e23 ) )
| ~ zip_tseitin_17 ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl157]) ).
thf(zip_derived_cl1585,plain,
( zip_tseitin_19
| ( e20
!= ( op2 @ e21 @ e23 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1578,zip_derived_cl1571]) ).
thf(zip_derived_cl1819_079,plain,
~ zip_tseitin_19,
inference(simplify,[status(thm)],[zip_derived_cl1818]) ).
thf(zip_derived_cl1827,plain,
( e20
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1585,zip_derived_cl1819]) ).
thf(zip_derived_cl202_080,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2335,plain,
( ( op2 @ e20 @ e23 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2334,zip_derived_cl1827,zip_derived_cl202,zip_derived_cl203]) ).
thf(zip_derived_cl27,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl292_081,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl2084,plain,
( ( ( op1 @ e12 @ e13 )
= e12 )
| ( e13 = e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl292]) ).
thf(zip_derived_cl142,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e12 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1956_082,plain,
( ( op1 @ e10 @ e10 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl1953]) ).
thf(zip_derived_cl1999,plain,
( e12
!= ( op1 @ e12 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl1956]) ).
thf(zip_derived_cl132,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e13 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2008_083,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl2051,plain,
( ( op1 @ e12 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl2008]) ).
thf(zip_derived_cl192_084,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2085,plain,
( ( op1 @ e12 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2084,zip_derived_cl1999,zip_derived_cl2051,zip_derived_cl192]) ).
thf(zip_derived_cl305_085,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl305_086,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1838_087,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl2259_088,plain,
( ( op2 @ e21 @ e20 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl59,zip_derived_cl1914,zip_derived_cl2020,zip_derived_cl2216]) ).
thf(zip_derived_cl292_089,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1838_090,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl305_091,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl305_092,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl1832_093,plain,
( ( op2 @ e21 @ e21 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1826]) ).
thf(zip_derived_cl36,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2008_094,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl1890_095,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl32,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2008_096,plain,
( ( op1 @ e13 @ e11 )
= e12 ),
inference(simplify,[status(thm)],[zip_derived_cl2006]) ).
thf(zip_derived_cl1890_097,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl2135,plain,
( ( e12 = e13 )
| ( ( op1 @ e12 @ e11 )
= e13 )
| ( e10 = e13 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl2008,zip_derived_cl1890]) ).
thf(zip_derived_cl195_098,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl104,plain,
( ( op1 @ e12 @ e11 )
!= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl292_099,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1435,plain,
( ( op1 @ e12 @ e11 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl292]) ).
thf(zip_derived_cl192_100,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2136,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2135,zip_derived_cl195,zip_derived_cl1435,zip_derived_cl192]) ).
thf(zip_derived_cl2155,plain,
( ( e12 = e11 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( e10 = e11 )
| ( e13 = e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl2008,zip_derived_cl1890,zip_derived_cl2136]) ).
thf(zip_derived_cl193_101,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl197_102,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl194_103,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2156,plain,
( ( op1 @ e12 @ e11 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2155,zip_derived_cl193,zip_derived_cl197,zip_derived_cl194]) ).
thf(zip_derived_cl2059_104,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl305_105,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2059_106,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl2276_107,plain,
( ( op2 @ e21 @ e22 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2275]) ).
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_cl2085_108,plain,
( ( op1 @ e12 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2084,zip_derived_cl1999,zip_derived_cl2051,zip_derived_cl192]) ).
thf(zip_derived_cl292_109,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl2123,plain,
( ( e12 = e10 )
| ( e13 = e10 )
| ( ( op1 @ e12 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl2085,zip_derived_cl292]) ).
thf(zip_derived_cl134,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e12 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1890_110,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl1931,plain,
( e10
!= ( op1 @ e12 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl1890]) ).
thf(zip_derived_cl195_111,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl196_112,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2124,plain,
( ( op1 @ e12 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2123,zip_derived_cl1931,zip_derived_cl195,zip_derived_cl196]) ).
thf(zip_derived_cl2385_113,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl305_114,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2385_115,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl64,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2041_116,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295,zip_derived_cl295]) ).
thf(zip_derived_cl2295,plain,
( ( e21 = e23 )
| ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl2041]) ).
thf(zip_derived_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl295_117,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1493,plain,
( e23
!= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl295]) ).
thf(zip_derived_cl199_118,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2296,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2295,zip_derived_cl1493,zip_derived_cl199]) ).
thf(zip_derived_cl163,plain,
( ( op2 @ e20 @ e21 )
!= ( op2 @ e20 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl2288_119,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl62,zip_derived_cl1917,zip_derived_cl2240,zip_derived_cl2017]) ).
thf(zip_derived_cl2289,plain,
( e23
!= ( op2 @ e20 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl2288]) ).
thf(zip_derived_cl2324,plain,
( ( e23 != e23 )
| ( ( op2 @ e21 @ e23 )
= e23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2296,zip_derived_cl2289]) ).
thf(zip_derived_cl2326,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference(simplify,[status(thm)],[zip_derived_cl2324]) ).
thf(zip_derived_cl16,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl292_120,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1434,plain,
( e13
!= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl292]) ).
thf(zip_derived_cl1783,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16,zip_derived_cl1434]) ).
thf(zip_derived_cl1867_121,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl1881,plain,
( ( e11 = e13 )
| ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1783,zip_derived_cl1867]) ).
thf(zip_derived_cl193_122,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1882,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1881,zip_derived_cl193]) ).
thf(zip_derived_cl115,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2136_123,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2135,zip_derived_cl195,zip_derived_cl1435,zip_derived_cl192]) ).
thf(zip_derived_cl2137,plain,
( e13
!= ( op1 @ e10 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl2136]) ).
thf(zip_derived_cl2162,plain,
( ( e13 != e13 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1882,zip_derived_cl2137]) ).
thf(zip_derived_cl2164,plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference(simplify,[status(thm)],[zip_derived_cl2162]) ).
thf(zip_derived_cl1838_124,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl2059_125,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl1838_126,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl79,plain,
( ( ( op2 @ e22 @ e23 )
= e20 )
| ( ( op2 @ e22 @ e22 )
= e20 )
| ( ( op2 @ e22 @ e21 )
= e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl2320_127,plain,
( ( op2 @ e22 @ e23 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2318]) ).
thf(zip_derived_cl295_128,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl2237_129,plain,
( ( op2 @ e22 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54,zip_derived_cl1828,zip_derived_cl2226,zip_derived_cl1494]) ).
thf(zip_derived_cl2369,plain,
( ( e22 = e20 )
| ( e23 = e20 )
| ( e21 = e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl2320,zip_derived_cl295,zip_derived_cl2237]) ).
thf(zip_derived_cl203_130,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl201_131,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl202_132,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2370,plain,
( ( op2 @ e22 @ e20 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2369,zip_derived_cl203,zip_derived_cl201,zip_derived_cl202]) ).
thf(zip_derived_cl26,plain,
( ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1755_133,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl292_134,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl2077,plain,
( ( e10 = e12 )
| ( e13 = e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl1755,zip_derived_cl292]) ).
thf(zip_derived_cl1890_135,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl1490_136,plain,
( zip_tseitin_9
| zip_tseitin_8 ),
inference(demod,[status(thm)],[zip_derived_cl253,zip_derived_cl1447,zip_derived_cl1433]) ).
thf(zip_derived_cl237_137,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ~ zip_tseitin_8 ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl1491,plain,
( zip_tseitin_9
| ( ( op1 @ e10 @ e10 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1490,zip_derived_cl237]) ).
thf(zip_derived_cl239_138,plain,
( ( ( op1 @ e11 @ e11 )
= e12 )
| ~ zip_tseitin_9 ),
inference(cnf,[status(esa)],[zf_stmt_48]) ).
thf(zip_derived_cl1514,plain,
( ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1491,zip_derived_cl239]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1521,plain,
( ( e12
!= ( op1 @ e10 @ e12 ) )
| ( ( op1 @ e11 @ e11 )
= e12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1514,zip_derived_cl118]) ).
thf(zip_derived_cl1950,plain,
( ( e10 = e12 )
| ( e12
!= ( op1 @ e10 @ e12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1890,zip_derived_cl1521]) ).
thf(zip_derived_cl196_139,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1951,plain,
( e12
!= ( op1 @ e10 @ e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1950,zip_derived_cl196]) ).
thf(zip_derived_cl192_140,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl196_141,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2078,plain,
( ( op1 @ e11 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2077,zip_derived_cl1951,zip_derived_cl192,zip_derived_cl196]) ).
thf(zip_derived_cl305_142,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2059_143,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl305_144,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2237_145,plain,
( ( op2 @ e22 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54,zip_derived_cl1828,zip_derived_cl2226,zip_derived_cl1494]) ).
thf(zip_derived_cl1890_146,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl2385_147,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl2059_148,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl2059_149,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl295_150,plain,
( e23
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl37,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl2078_151,plain,
( ( op1 @ e11 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2077,zip_derived_cl1951,zip_derived_cl192,zip_derived_cl196]) ).
thf(zip_derived_cl1890_152,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl2170,plain,
( ( ( op1 @ e11 @ e13 )
= e11 )
| ( e12 = e11 )
| ( e10 = e11 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl2078,zip_derived_cl1890]) ).
thf(zip_derived_cl197_153,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl194_154,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl121,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1867_155,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl1871,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl1867]) ).
thf(zip_derived_cl2171,plain,
( ( op1 @ e11 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2170,zip_derived_cl197,zip_derived_cl194,zip_derived_cl1871]) ).
thf(zip_derived_cl2059_156,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl2059_157,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl2385_158,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl2320_159,plain,
( ( op2 @ e22 @ e23 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2318]) ).
thf(zip_derived_cl22,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1867_160,plain,
( e11
= ( op1 @ e13 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292,zip_derived_cl292]) ).
thf(zip_derived_cl2060,plain,
( ( e11 = e10 )
| ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl1867]) ).
thf(zip_derived_cl109,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1890_161,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl1885]) ).
thf(zip_derived_cl1927,plain,
( e10
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl1890]) ).
thf(zip_derived_cl197_162,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2061,plain,
( ( ( op1 @ e12 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2060,zip_derived_cl1927,zip_derived_cl197]) ).
thf(zip_derived_cl2085_163,plain,
( ( op1 @ e12 @ e13 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2084,zip_derived_cl1999,zip_derived_cl2051,zip_derived_cl192]) ).
thf(zip_derived_cl2098,plain,
( ( e12 = e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2061,zip_derived_cl2085]) ).
thf(zip_derived_cl196_164,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2099,plain,
( ( op1 @ e10 @ e13 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2098,zip_derived_cl196]) ).
thf(zip_derived_cl2385_165,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl2385_166,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl1838_167,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl2213_168,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51,zip_derived_cl1814,zip_derived_cl1985,zip_derived_cl2018]) ).
thf(zip_derived_cl28,plain,
( ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl1755_169,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl292_170,plain,
( e13
= ( op1 @ e12 @ e12 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl2078_171,plain,
( ( op1 @ e11 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2077,zip_derived_cl1951,zip_derived_cl192,zip_derived_cl196]) ).
thf(zip_derived_cl2100,plain,
( ( e10 = e11 )
| ( e13 = e11 )
| ( e12 = e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl1755,zip_derived_cl292,zip_derived_cl2078]) ).
thf(zip_derived_cl194_172,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl193_173,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl197_174,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2101,plain,
( ( op1 @ e10 @ e12 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2100,zip_derived_cl194,zip_derived_cl193,zip_derived_cl197]) ).
thf(zip_derived_cl2059_175,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl2385_176,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl305_177,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2221_178,plain,
( ( op2 @ e23 @ e21 )
= e22 ),
inference(simplify,[status(thm)],[zip_derived_cl2220]) ).
thf(zip_derived_cl2136_179,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2135,zip_derived_cl195,zip_derived_cl1435,zip_derived_cl192]) ).
thf(zip_derived_cl1838_180,plain,
( ( h2 @ e13 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl1678,zip_derived_cl1826]) ).
thf(zip_derived_cl2385_181,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl2059_182,plain,
( ( h2 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2044,zip_derived_cl2046,zip_derived_cl2046,zip_derived_cl1858]) ).
thf(zip_derived_cl1812_183,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1956_184,plain,
( ( op1 @ e10 @ e10 )
= e12 ),
inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl1953]) ).
thf(zip_derived_cl305_185,plain,
( ( h2 @ e12 )
= e21 ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl2385_186,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl2385_187,plain,
( ( h2 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1921,zip_derived_cl2288]) ).
thf(zip_derived_cl2041_188,plain,
( e21
= ( op2 @ e23 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295,zip_derived_cl295]) ).
thf(zip_derived_cl4263,plain,
( ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e20 != e20 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e20 != e20 )
| ( e21 != e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl785,zip_derived_cl2385,zip_derived_cl2059,zip_derived_cl305,zip_derived_cl1838,zip_derived_cl1867,zip_derived_cl2059,zip_derived_cl1838,zip_derived_cl1838,zip_derived_cl1858,zip_derived_cl1755,zip_derived_cl2385,zip_derived_cl1838,zip_derived_cl305,zip_derived_cl2288,zip_derived_cl2008,zip_derived_cl305,zip_derived_cl1838,zip_derived_cl2059,zip_derived_cl2282,zip_derived_cl2056,zip_derived_cl1838,zip_derived_cl1838,zip_derived_cl2385,zip_derived_cl2335,zip_derived_cl2085,zip_derived_cl305,zip_derived_cl305,zip_derived_cl1838,zip_derived_cl2259,zip_derived_cl292,zip_derived_cl1838,zip_derived_cl305,zip_derived_cl305,zip_derived_cl1832,zip_derived_cl2156,zip_derived_cl2059,zip_derived_cl305,zip_derived_cl2059,zip_derived_cl2276,zip_derived_cl2124,zip_derived_cl2385,zip_derived_cl305,zip_derived_cl2385,zip_derived_cl2326,zip_derived_cl2164,zip_derived_cl1838,zip_derived_cl2059,zip_derived_cl1838,zip_derived_cl2370,zip_derived_cl2078,zip_derived_cl305,zip_derived_cl2059,zip_derived_cl305,zip_derived_cl2237,zip_derived_cl1890,zip_derived_cl2385,zip_derived_cl2059,zip_derived_cl2059,zip_derived_cl295,zip_derived_cl2171,zip_derived_cl2059,zip_derived_cl2059,zip_derived_cl2385,zip_derived_cl2320,zip_derived_cl2099,zip_derived_cl2385,zip_derived_cl2385,zip_derived_cl1838,zip_derived_cl2213,zip_derived_cl2101,zip_derived_cl2059,zip_derived_cl2385,zip_derived_cl305,zip_derived_cl2221,zip_derived_cl2136,zip_derived_cl1838,zip_derived_cl2385,zip_derived_cl2059,zip_derived_cl1812,zip_derived_cl1956,zip_derived_cl305,zip_derived_cl2385,zip_derived_cl2385,zip_derived_cl2041]) ).
thf(zip_derived_cl4264,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG114+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eIbOaJomHh true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 03:25:58 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.69 % Total configuration time : 435
% 0.21/0.69 % Estimated wc time : 1092
% 0.21/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 8.34/1.83 % Solved by fo/fo4.sh.
% 8.34/1.83 % done 1488 iterations in 0.965s
% 8.34/1.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 8.34/1.83 % SZS output start Refutation
% See solution above
% 8.34/1.84
% 8.34/1.84
% 8.34/1.84 % Terminating...
% 8.79/1.93 % Runner terminated.
% 8.79/1.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------