%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG117+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5mBRRRSc20 true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:27:43 PM UTC 2025
% Result : Theorem 7.91s 4.64s
% Output : Refutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 50
% Syntax : Number of formulae : 512 ( 305 unt; 0 typ; 0 def)
% Number of atoms : 1712 (1485 equ; 0 cnn)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5168 ( 419 ~; 731 |; 437 &;3549 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 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_cl529,plain,
( ( ( h1 @ e10 )
!= e23 )
| ( ( h1 @ e11 )
!= e22 )
| ( ( h1 @ e12 )
!= e21 )
| ( ( h1 @ e13 )
!= 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,[status(esa)],[zf_stmt_0]) ).
thf(ax14,axiom,
( ( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) )
& ( ( h1 @ e11 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) )
& ( ( h1 @ e10 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) )
& ( ( h1 @ e13 )
= e20 ) ) ).
thf(zip_derived_cl300,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(ax11,axiom,
( ( ( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e20 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e20 )
& ( ( op2 @ e21 @ e20 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e20 )
& ( ( op2 @ e22 @ e20 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e20 )
& ( ( op2 @ e23 @ e20 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e21 )
& ( ( op2 @ e20 @ e21 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e21 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e21 )
& ( ( op2 @ e22 @ e21 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e21 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e22 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e22 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e22 )
& ( ( op2 @ e23 @ e22 )
!= e23 ) ) )
& ( ( ( ( op2 @ e20 @ e20 )
= e23 )
& ( ( op2 @ e20 @ e23 )
!= e20 ) )
| ( ( ( op2 @ e21 @ e21 )
= e23 )
& ( ( op2 @ e21 @ e23 )
!= e21 ) )
| ( ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
!= e22 ) )
| ( ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e23 )
!= e23 ) ) ) ) ).
thf(zf_stmt_1,axiom,
( zip_tseitin_20
=> ( ( ( op2 @ e20 @ e21 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e21 ) ) ) ).
thf(zip_derived_cl265,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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 @ e22 @ e23 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e23 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_29: $o ).
thf(zf_stmt_7,axiom,
( zip_tseitin_29
=> ( ( ( op2 @ e21 @ e23 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e23 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_28: $o ).
thf(zf_stmt_9,axiom,
( zip_tseitin_28
=> ( ( ( op2 @ e20 @ e23 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e23 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_27: $o ).
thf(zf_stmt_11,axiom,
( zip_tseitin_27
=> ( ( ( op2 @ e23 @ 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 @ e21 @ e22 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_24: $o ).
thf(zf_stmt_17,axiom,
( zip_tseitin_24
=> ( ( ( op2 @ e20 @ e22 )
!= e20 )
& ( ( op2 @ e20 @ e20 )
= e22 ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_23: $o ).
thf(zf_stmt_19,axiom,
( zip_tseitin_23
=> ( ( ( op2 @ e23 @ e21 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e21 ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_22: $o ).
thf(zf_stmt_21,axiom,
( zip_tseitin_22
=> ( ( ( op2 @ e22 @ 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,type,
zip_tseitin_19: $o ).
thf(zf_stmt_26,axiom,
( zip_tseitin_19
=> ( ( ( op2 @ e23 @ e20 )
!= e23 )
& ( ( op2 @ e23 @ e23 )
= e20 ) ) ) ).
thf(zf_stmt_27,type,
zip_tseitin_18: $o ).
thf(zf_stmt_28,axiom,
( zip_tseitin_18
=> ( ( ( op2 @ e22 @ e20 )
!= e22 )
& ( ( op2 @ e22 @ e22 )
= e20 ) ) ) ).
thf(zf_stmt_29,type,
zip_tseitin_17: $o ).
thf(zf_stmt_30,axiom,
( zip_tseitin_17
=> ( ( ( op2 @ e21 @ e20 )
!= e21 )
& ( ( op2 @ e21 @ e21 )
= e20 ) ) ) ).
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_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_cl1573,plain,
~ zip_tseitin_21,
inference(clc,[status(thm)],[zip_derived_cl267,zip_derived_cl266]) ).
thf(zip_derived_cl1574,plain,
( zip_tseitin_23
| zip_tseitin_22
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl1573]) ).
thf(zip_derived_cl271,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ~ zip_tseitin_23 ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(ax13,axiom,
( ( e22
= ( op2 @ e23 @ e23 ) )
& ( e21
= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) )
& ( e20
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ) ).
thf(zip_derived_cl295,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1580,plain,
( ( e22 = e21 )
| ~ zip_tseitin_23 ),
inference(demod,[status(thm)],[zip_derived_cl271,zip_derived_cl295]) ).
thf(ax8,axiom,
( ( e22 != e23 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl200,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1581,plain,
~ zip_tseitin_23,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1580,zip_derived_cl200]) ).
thf(zip_derived_cl1582,plain,
( zip_tseitin_22
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl1574,zip_derived_cl1581]) ).
thf(zip_derived_cl269,plain,
( ( ( op2 @ e22 @ e22 )
= e21 )
| ~ zip_tseitin_22 ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
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_cl150,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1576,plain,
( ( e21
!= ( op2 @ e22 @ e23 ) )
| ~ zip_tseitin_22 ),
inference('sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl150]) ).
thf(zip_derived_cl296,plain,
( e21
= ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl295_001,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1898,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
thf(zip_derived_cl1905,plain,
( ( e21 != e21 )
| ~ zip_tseitin_22 ),
inference(demod,[status(thm)],[zip_derived_cl1576,zip_derived_cl1898]) ).
thf(zip_derived_cl1906,plain,
~ zip_tseitin_22,
inference(simplify,[status(thm)],[zip_derived_cl1905]) ).
thf(zip_derived_cl1912,plain,
zip_tseitin_20,
inference(demod,[status(thm)],[zip_derived_cl1582,zip_derived_cl1906]) ).
thf(zip_derived_cl1924,plain,
( ( op2 @ e20 @ e20 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl1912]) ).
thf(zip_derived_cl2068,plain,
( ( h1 @ e10 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl300,zip_derived_cl1924]) ).
thf(ax15,axiom,
( ( ( h2 @ e12 )
= ( op2 @ e21 @ e21 ) )
& ( ( h2 @ e11 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) )
& ( ( h2 @ e10 )
= ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) )
& ( ( h2 @ e13 )
= e21 ) ) ).
thf(zip_derived_cl303,plain,
( ( h2 @ e11 )
= ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) ),
inference(cnf,[status(esa)],[ax15]) ).
thf(zip_derived_cl259,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
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_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_cl1533,plain,
~ zip_tseitin_16,
inference(clc,[status(thm)],[zip_derived_cl257,zip_derived_cl256]) ).
thf(zip_derived_cl1534,plain,
( zip_tseitin_17
| zip_tseitin_18
| zip_tseitin_19 ),
inference('sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl1533]) ).
thf(zip_derived_cl263,plain,
( ( ( op2 @ e23 @ e23 )
= e20 )
| ~ zip_tseitin_19 ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl295_002,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1559,plain,
( ( e22 = e20 )
| ~ zip_tseitin_19 ),
inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl295]) ).
thf(zip_derived_cl202,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1560,plain,
~ zip_tseitin_19,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1559,zip_derived_cl202]) ).
thf(zip_derived_cl1561,plain,
( zip_tseitin_17
| zip_tseitin_18 ),
inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl1560]) ).
thf(zip_derived_cl261,plain,
( ( ( op2 @ e22 @ e22 )
= e20 )
| ~ zip_tseitin_18 ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl174,plain,
( ( op2 @ e22 @ e22 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1540,plain,
( ( e20
!= ( op2 @ e23 @ e22 ) )
| ~ zip_tseitin_18 ),
inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl174]) ).
thf(zip_derived_cl297,plain,
( e20
= ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl295_003,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1947,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1954,plain,
( ( e20 != e20 )
| ~ zip_tseitin_18 ),
inference(demod,[status(thm)],[zip_derived_cl1540,zip_derived_cl1947]) ).
thf(zip_derived_cl1955,plain,
~ zip_tseitin_18,
inference(simplify,[status(thm)],[zip_derived_cl1954]) ).
thf(zip_derived_cl1961,plain,
zip_tseitin_17,
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl1955]) ).
thf(zip_derived_cl1966,plain,
( ( op2 @ e21 @ e21 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1961]) ).
thf(zip_derived_cl2069,plain,
( ( h2 @ e11 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl1966]) ).
thf(zip_derived_cl2295,plain,
( ( h1 @ e10 )
= ( h2 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl2068,zip_derived_cl2069]) ).
thf(zip_derived_cl2069_004,plain,
( ( h2 @ e11 )
= ( op2 @ e20 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl303,zip_derived_cl1966]) ).
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_cl80,plain,
( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl69,plain,
( ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl295_005,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1947_006,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(ax3,axiom,
( ( ( ( op2 @ e23 @ e23 )
= e23 )
| ( ( op2 @ e23 @ e23 )
= e22 )
| ( ( op2 @ e23 @ e23 )
= e21 )
| ( ( op2 @ e23 @ e23 )
= e20 ) )
& ( ( ( op2 @ e23 @ e22 )
= e23 )
| ( ( op2 @ e23 @ e22 )
= e22 )
| ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e23 @ e22 )
= e20 ) )
& ( ( ( op2 @ e23 @ e21 )
= e23 )
| ( ( op2 @ e23 @ e21 )
= e22 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( ( op2 @ e23 @ e21 )
= e20 ) )
& ( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) )
& ( ( ( op2 @ e22 @ e23 )
= e23 )
| ( ( op2 @ e22 @ e23 )
= e22 )
| ( ( op2 @ e22 @ e23 )
= e21 )
| ( ( op2 @ e22 @ e23 )
= e20 ) )
& ( ( ( op2 @ e22 @ e22 )
= e23 )
| ( ( op2 @ e22 @ e22 )
= e22 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e20 ) )
& ( ( ( op2 @ e22 @ e21 )
= e23 )
| ( ( op2 @ e22 @ e21 )
= e22 )
| ( ( op2 @ e22 @ e21 )
= e21 )
| ( ( op2 @ e22 @ e21 )
= e20 ) )
& ( ( ( op2 @ e22 @ e20 )
= e23 )
| ( ( op2 @ e22 @ e20 )
= e22 )
| ( ( op2 @ e22 @ e20 )
= e21 )
| ( ( op2 @ e22 @ e20 )
= e20 ) )
& ( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) )
& ( ( ( op2 @ e21 @ e22 )
= e23 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e20 ) )
& ( ( ( op2 @ e21 @ e21 )
= e23 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e21 )
| ( ( op2 @ e21 @ e21 )
= e20 ) )
& ( ( ( op2 @ e21 @ e20 )
= e23 )
| ( ( op2 @ e21 @ e20 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e21 )
| ( ( op2 @ e21 @ e20 )
= e20 ) )
& ( ( ( op2 @ e20 @ e23 )
= e23 )
| ( ( op2 @ e20 @ e23 )
= e22 )
| ( ( op2 @ e20 @ e23 )
= e21 )
| ( ( op2 @ e20 @ e23 )
= e20 ) )
& ( ( ( op2 @ e20 @ e22 )
= e23 )
| ( ( op2 @ e20 @ e22 )
= e22 )
| ( ( op2 @ e20 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e20 ) )
& ( ( ( op2 @ e20 @ e21 )
= e23 )
| ( ( op2 @ e20 @ e21 )
= e22 )
| ( ( op2 @ e20 @ e21 )
= e21 )
| ( ( op2 @ e20 @ e21 )
= e20 ) )
& ( ( ( op2 @ e20 @ e20 )
= e23 )
| ( ( op2 @ e20 @ e20 )
= e22 )
| ( ( op2 @ e20 @ e20 )
= e21 )
| ( ( op2 @ e20 @ e20 )
= e20 ) ) ) ).
thf(zip_derived_cl51,plain,
( ( ( op2 @ e23 @ e20 )
= e23 )
| ( ( op2 @ e23 @ e20 )
= e22 )
| ( ( op2 @ e23 @ e20 )
= e21 )
| ( ( op2 @ e23 @ e20 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl148,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1947_007,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1949,plain,
( ( op2 @ e23 @ e20 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl1947]) ).
thf(zip_derived_cl1582_008,plain,
( zip_tseitin_22
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl1574,zip_derived_cl1581]) ).
thf(zip_derived_cl265_009,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl189,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e23 @ e20 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1570,plain,
( ( e21
!= ( op2 @ e23 @ e20 ) )
| ~ zip_tseitin_20 ),
inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl189]) ).
thf(zip_derived_cl1602,plain,
( zip_tseitin_22
| ( e21
!= ( op2 @ e23 @ e20 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1582,zip_derived_cl1570]) ).
thf(zip_derived_cl1906_010,plain,
~ zip_tseitin_22,
inference(simplify,[status(thm)],[zip_derived_cl1905]) ).
thf(zip_derived_cl1916,plain,
( e21
!= ( op2 @ e23 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl1602,zip_derived_cl1906]) ).
thf(zip_derived_cl147,plain,
( ( op2 @ e23 @ e20 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl295_011,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1513,plain,
( ( op2 @ e23 @ e20 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl295]) ).
thf(zip_derived_cl2442,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51,zip_derived_cl1949,zip_derived_cl1916,zip_derived_cl1513]) ).
thf(zip_derived_cl2526,plain,
( ( e22 = e21 )
| ( e20 = e21 )
| ( ( op2 @ e23 @ e21 )
= e21 )
| ( e23 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl295,zip_derived_cl1947,zip_derived_cl2442]) ).
thf(zip_derived_cl199,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl203,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl200_012,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2527,plain,
( ( op2 @ e23 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2526,zip_derived_cl199,zip_derived_cl203,zip_derived_cl200]) ).
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_cl1561_013,plain,
( zip_tseitin_17
| zip_tseitin_18 ),
inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl1560]) ).
thf(zip_derived_cl259_014,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl182,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e22 @ e21 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1538,plain,
( ( e20
!= ( op2 @ e22 @ e21 ) )
| ~ zip_tseitin_17 ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl182]) ).
thf(zip_derived_cl1566,plain,
( zip_tseitin_18
| ( e20
!= ( op2 @ e22 @ e21 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1561,zip_derived_cl1538]) ).
thf(zip_derived_cl1955_015,plain,
~ zip_tseitin_18,
inference(simplify,[status(thm)],[zip_derived_cl1954]) ).
thf(zip_derived_cl1963,plain,
( e20
!= ( op2 @ e22 @ e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1566,zip_derived_cl1955]) ).
thf(zip_derived_cl151,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1898_016,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
thf(zip_derived_cl1899,plain,
( ( op2 @ e22 @ e21 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl1898]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ e22 @ e21 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(ax16,axiom,
( ( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) )
& ( ( h3 @ e11 )
= ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) )
& ( ( h3 @ e10 )
= ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) )
& ( ( h3 @ e13 )
= e22 ) ) ).
thf(zip_derived_cl306,plain,
( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1738,plain,
( ( op2 @ e22 @ e21 )
!= ( h3 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl306]) ).
thf(zip_derived_cl306_017,plain,
( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl285,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl1745,plain,
( ( ( h3 @ e12 )
= e23 )
| ~ zip_tseitin_30 ),
inference('sup+',[status(thm)],[zip_derived_cl306,zip_derived_cl285]) ).
thf(zip_derived_cl288,plain,
( zip_tseitin_31
| zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_33]) ).
thf(zip_derived_cl295_018,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl287,plain,
( ( ( op2 @ e23 @ e23 )
= e23 )
| ~ zip_tseitin_31 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1667,plain,
( ( e22 = e23 )
| ~ zip_tseitin_31 ),
inference('sup+',[status(thm)],[zip_derived_cl295,zip_derived_cl287]) ).
thf(zip_derived_cl198,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1668,plain,
~ zip_tseitin_31,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1667,zip_derived_cl198]) ).
thf(zip_derived_cl1678,plain,
( zip_tseitin_30
| zip_tseitin_29
| zip_tseitin_28 ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl1668]) ).
thf(zip_derived_cl281,plain,
( ( ( op2 @ e20 @ e20 )
= e23 )
| ~ zip_tseitin_28 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl265_019,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1632,plain,
( ( e23 = e21 )
| ~ zip_tseitin_28
| ~ zip_tseitin_20 ),
inference('sup+',[status(thm)],[zip_derived_cl281,zip_derived_cl265]) ).
thf(zip_derived_cl199_020,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1634,plain,
( ~ zip_tseitin_28
| ~ zip_tseitin_20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1632,zip_derived_cl199]) ).
thf(zip_derived_cl1732,plain,
( zip_tseitin_29
| zip_tseitin_30
| ~ zip_tseitin_20 ),
inference('sup-',[status(thm)],[zip_derived_cl1678,zip_derived_cl1634]) ).
thf(zip_derived_cl1912_021,plain,
zip_tseitin_20,
inference(demod,[status(thm)],[zip_derived_cl1582,zip_derived_cl1906]) ).
thf(zip_derived_cl1933,plain,
( zip_tseitin_29
| zip_tseitin_30 ),
inference(demod,[status(thm)],[zip_derived_cl1732,zip_derived_cl1912]) ).
thf(zip_derived_cl283,plain,
( ( ( op2 @ e21 @ e21 )
= e23 )
| ~ zip_tseitin_29 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl259_022,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1640,plain,
( ( e23 = e20 )
| ~ zip_tseitin_29
| ~ zip_tseitin_17 ),
inference('sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl259]) ).
thf(zip_derived_cl201,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl1642,plain,
( ~ zip_tseitin_29
| ~ zip_tseitin_17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1640,zip_derived_cl201]) ).
thf(zip_derived_cl1961_023,plain,
zip_tseitin_17,
inference(demod,[status(thm)],[zip_derived_cl1561,zip_derived_cl1955]) ).
thf(zip_derived_cl1970,plain,
~ zip_tseitin_29,
inference(demod,[status(thm)],[zip_derived_cl1642,zip_derived_cl1961]) ).
thf(zip_derived_cl2015,plain,
zip_tseitin_30,
inference(clc,[status(thm)],[zip_derived_cl1933,zip_derived_cl1970]) ).
thf(zip_derived_cl2017,plain,
( ( h3 @ e12 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1745,zip_derived_cl2015]) ).
thf(zip_derived_cl2019,plain,
( ( op2 @ e22 @ e21 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1738,zip_derived_cl2017]) ).
thf(zip_derived_cl2453,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54,zip_derived_cl1963,zip_derived_cl1899,zip_derived_cl2019]) ).
thf(zip_derived_cl1966_024,plain,
( ( op2 @ e21 @ e21 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1961]) ).
thf(zip_derived_cl2578,plain,
( ( e21 = e23 )
| ( e22 = e23 )
| ( e20 = e23 )
| ( ( op2 @ e20 @ e21 )
= e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl2527,zip_derived_cl2453,zip_derived_cl1966]) ).
thf(zip_derived_cl201_025,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl198_026,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl199_027,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2579,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2578,zip_derived_cl201,zip_derived_cl198,zip_derived_cl199]) ).
thf(zip_derived_cl2580,plain,
( ( h2 @ e11 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2069,zip_derived_cl2579]) ).
thf(zip_derived_cl2584,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl299,plain,
( ( h1 @ e11 )
= ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1924_028,plain,
( ( op2 @ e20 @ e20 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl1912]) ).
thf(zip_derived_cl2067,plain,
( ( h1 @ e11 )
= ( op2 @ e21 @ e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl1924]) ).
thf(zip_derived_cl83,plain,
( ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e22 )
= e22 )
| ( ( op2 @ e21 @ e21 )
= e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl56,plain,
( ( ( op2 @ e21 @ e23 )
= e23 )
| ( ( op2 @ e21 @ e23 )
= e22 )
| ( ( op2 @ e21 @ e23 )
= e21 )
| ( ( op2 @ e21 @ e23 )
= e20 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl1561_029,plain,
( zip_tseitin_17
| zip_tseitin_18 ),
inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl1560]) ).
thf(zip_derived_cl259_030,plain,
( ( ( op2 @ e21 @ e21 )
= e20 )
| ~ zip_tseitin_17 ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl157,plain,
( ( op2 @ e21 @ e21 )
!= ( op2 @ e21 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1535,plain,
( ( e20
!= ( op2 @ e21 @ e23 ) )
| ~ zip_tseitin_17 ),
inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl157]) ).
thf(zip_derived_cl1563,plain,
( zip_tseitin_18
| ( e20
!= ( op2 @ e21 @ e23 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1561,zip_derived_cl1535]) ).
thf(zip_derived_cl1955_031,plain,
~ zip_tseitin_18,
inference(simplify,[status(thm)],[zip_derived_cl1954]) ).
thf(zip_derived_cl1962,plain,
( e20
!= ( op2 @ e21 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl1955]) ).
thf(zip_derived_cl170,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e22 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1898_032,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
thf(zip_derived_cl1901,plain,
( ( op2 @ e21 @ e23 )
!= e21 ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl1898]) ).
thf(zip_derived_cl169,plain,
( ( op2 @ e21 @ e23 )
!= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl295_033,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1515,plain,
( ( op2 @ e21 @ e23 )
!= e22 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl295]) ).
thf(zip_derived_cl2465,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56,zip_derived_cl1962,zip_derived_cl1901,zip_derived_cl1515]) ).
thf(zip_derived_cl76,plain,
( ( ( op2 @ e23 @ e22 )
= e21 )
| ( ( op2 @ e22 @ e22 )
= e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( ( op2 @ e20 @ e22 )
= e21 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl1947_034,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl285_035,plain,
( ( ( op2 @ e22 @ e22 )
= e23 )
| ~ zip_tseitin_30 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2015_036,plain,
zip_tseitin_30,
inference(clc,[status(thm)],[zip_derived_cl1933,zip_derived_cl1970]) ).
thf(zip_derived_cl2016,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl2015]) ).
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_cl1947_037,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl1951,plain,
( ( op2 @ e20 @ e22 )
!= e20 ),
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl1947]) ).
thf(zip_derived_cl1582_038,plain,
( zip_tseitin_22
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl1574,zip_derived_cl1581]) ).
thf(zip_derived_cl265_039,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl166,plain,
( ( op2 @ e20 @ e20 )
!= ( op2 @ e20 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl1568,plain,
( ( e21
!= ( op2 @ e20 @ e22 ) )
| ~ zip_tseitin_20 ),
inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl166]) ).
thf(zip_derived_cl1594,plain,
( zip_tseitin_22
| ( e21
!= ( op2 @ e20 @ e22 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1582,zip_derived_cl1568]) ).
thf(zip_derived_cl1906_040,plain,
~ zip_tseitin_22,
inference(simplify,[status(thm)],[zip_derived_cl1905]) ).
thf(zip_derived_cl1914,plain,
( e21
!= ( op2 @ e20 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1594,zip_derived_cl1906]) ).
thf(zip_derived_cl178,plain,
( ( op2 @ e20 @ e22 )
!= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax6]) ).
thf(zip_derived_cl306_041,plain,
( ( h3 @ e12 )
= ( op2 @ e22 @ e22 ) ),
inference(cnf,[status(esa)],[ax16]) ).
thf(zip_derived_cl1742,plain,
( ( op2 @ e20 @ e22 )
!= ( h3 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl306]) ).
thf(zip_derived_cl2017_042,plain,
( ( h3 @ e12 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1745,zip_derived_cl2015]) ).
thf(zip_derived_cl2022,plain,
( ( op2 @ e20 @ e22 )
!= e23 ),
inference(demod,[status(thm)],[zip_derived_cl1742,zip_derived_cl2017]) ).
thf(zip_derived_cl2491,plain,
( ( op2 @ e20 @ e22 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61,zip_derived_cl1951,zip_derived_cl1914,zip_derived_cl2022]) ).
thf(zip_derived_cl2562,plain,
( ( e20 = e21 )
| ( e23 = e21 )
| ( ( op2 @ e21 @ e22 )
= e21 )
| ( e22 = e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl1947,zip_derived_cl2016,zip_derived_cl2491]) ).
thf(zip_derived_cl200_043,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl199_044,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl203_045,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2563,plain,
( ( op2 @ e21 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2562,zip_derived_cl200,zip_derived_cl199,zip_derived_cl203]) ).
thf(zip_derived_cl1966_046,plain,
( ( op2 @ e21 @ e21 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1961]) ).
thf(zip_derived_cl2598,plain,
( ( e23 = e22 )
| ( e21 = e22 )
| ( e20 = e22 )
| ( ( op2 @ e21 @ e20 )
= e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl2465,zip_derived_cl2563,zip_derived_cl1966]) ).
thf(zip_derived_cl202_047,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl200_048,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl198_049,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2599,plain,
( ( op2 @ e21 @ e20 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2598,zip_derived_cl202,zip_derived_cl200,zip_derived_cl198]) ).
thf(zip_derived_cl2600,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl298,plain,
( ( h1 @ e12 )
= ( op2 @ e20 @ e20 ) ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl265_050,plain,
( ( ( op2 @ e20 @ e20 )
= e21 )
| ~ zip_tseitin_20 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1675,plain,
( ( ( h1 @ e12 )
= e21 )
| ~ zip_tseitin_20 ),
inference('sup+',[status(thm)],[zip_derived_cl298,zip_derived_cl265]) ).
thf(zip_derived_cl1582_051,plain,
( zip_tseitin_22
| zip_tseitin_20 ),
inference(demod,[status(thm)],[zip_derived_cl1574,zip_derived_cl1581]) ).
thf(zip_derived_cl1691,plain,
( ( ( h1 @ e12 )
= e21 )
| zip_tseitin_22 ),
inference('sup+',[status(thm)],[zip_derived_cl1675,zip_derived_cl1582]) ).
thf(zip_derived_cl1576_052,plain,
( ( e21
!= ( op2 @ e22 @ e23 ) )
| ~ zip_tseitin_22 ),
inference('sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl150]) ).
thf(zip_derived_cl1717,plain,
( ( ( h1 @ e12 )
= e21 )
| ( e21
!= ( op2 @ e22 @ e23 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1691,zip_derived_cl1576]) ).
thf(zip_derived_cl1898_053,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
thf(zip_derived_cl1908,plain,
( ( ( h1 @ e12 )
= e21 )
| ( e21 != e21 ) ),
inference(demod,[status(thm)],[zip_derived_cl1717,zip_derived_cl1898]) ).
thf(zip_derived_cl1909,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl301,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(ax12,axiom,
( ( e12
= ( op1 @ e13 @ e13 ) )
& ( e11
= ( op1 @ ( op1 @ e13 @ e13 ) @ e13 ) )
& ( e10
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ) ).
thf(zip_derived_cl292,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1909_054,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl301_055,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl301_056,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1924_057,plain,
( ( op2 @ e20 @ e20 )
= e21 ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl1912]) ).
thf(zip_derived_cl294,plain,
( e10
= ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl292_058,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1836,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl2584_059,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl301_060,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1909_061,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2579_062,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2578,zip_derived_cl201,zip_derived_cl198,zip_derived_cl199]) ).
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_cl21,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl292_063,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1836_064,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl2003,plain,
( ( e12 = e11 )
| ( e10 = e11 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl292,zip_derived_cl1836]) ).
thf(ax7,axiom,
( ( e12 != e13 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl197,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl194,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2004,plain,
( ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2003,zip_derived_cl197,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 @ e11 @ e10 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e10 )
& ( ( op1 @ e12 @ e10 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e10 )
& ( ( op1 @ e13 @ e10 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e11 )
& ( ( op1 @ e10 @ e11 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e11 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e11 )
& ( ( op1 @ e12 @ e11 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e11 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e12 )
& ( ( op1 @ e10 @ e12 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e12 )
& ( ( op1 @ e11 @ e12 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e12 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e12 )
& ( ( op1 @ e13 @ e12 )
!= e13 ) ) )
& ( ( ( ( op1 @ e10 @ e10 )
= e13 )
& ( ( op1 @ e10 @ e13 )
!= e10 ) )
| ( ( ( op1 @ e11 @ e11 )
= e13 )
& ( ( op1 @ e11 @ e13 )
!= e11 ) )
| ( ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
!= e12 ) )
| ( ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e13 )
!= e13 ) ) ) ) ).
thf(zf_stmt_34,type,
zip_tseitin_15: $o ).
thf(zf_stmt_35,axiom,
( zip_tseitin_15
=> ( ( ( op1 @ e13 @ e13 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e13 ) ) ) ).
thf(zf_stmt_36,type,
zip_tseitin_14: $o ).
thf(zf_stmt_37,axiom,
( zip_tseitin_14
=> ( ( ( op1 @ e12 @ e13 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e13 ) ) ) ).
thf(zf_stmt_38,type,
zip_tseitin_13: $o ).
thf(zf_stmt_39,axiom,
( zip_tseitin_13
=> ( ( ( op1 @ e11 @ e13 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e13 ) ) ) ).
thf(zf_stmt_40,type,
zip_tseitin_12: $o ).
thf(zf_stmt_41,axiom,
( zip_tseitin_12
=> ( ( ( op1 @ e10 @ e13 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e13 ) ) ) ).
thf(zf_stmt_42,type,
zip_tseitin_11: $o ).
thf(zf_stmt_43,axiom,
( zip_tseitin_11
=> ( ( ( op1 @ e13 @ e12 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e12 ) ) ) ).
thf(zf_stmt_44,type,
zip_tseitin_10: $o ).
thf(zf_stmt_45,axiom,
( zip_tseitin_10
=> ( ( ( op1 @ e12 @ e12 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e12 ) ) ) ).
thf(zf_stmt_46,type,
zip_tseitin_9: $o ).
thf(zf_stmt_47,axiom,
( zip_tseitin_9
=> ( ( ( op1 @ e11 @ e12 )
!= e11 )
& ( ( op1 @ e11 @ e11 )
= e12 ) ) ) ).
thf(zf_stmt_48,type,
zip_tseitin_8: $o ).
thf(zf_stmt_49,axiom,
( zip_tseitin_8
=> ( ( ( op1 @ e10 @ e12 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e12 ) ) ) ).
thf(zf_stmt_50,type,
zip_tseitin_7: $o ).
thf(zf_stmt_51,axiom,
( zip_tseitin_7
=> ( ( ( op1 @ e13 @ e11 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e11 ) ) ) ).
thf(zf_stmt_52,type,
zip_tseitin_6: $o ).
thf(zf_stmt_53,axiom,
( zip_tseitin_6
=> ( ( ( op1 @ e12 @ 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 @ e10 @ e11 )
!= e10 )
& ( ( op1 @ e10 @ e10 )
= e11 ) ) ) ).
thf(zf_stmt_58,type,
zip_tseitin_3: $o ).
thf(zf_stmt_59,axiom,
( zip_tseitin_3
=> ( ( ( op1 @ e13 @ e10 )
!= e13 )
& ( ( op1 @ e13 @ e13 )
= e10 ) ) ) ).
thf(zf_stmt_60,type,
zip_tseitin_2: $o ).
thf(zf_stmt_61,axiom,
( zip_tseitin_2
=> ( ( ( op1 @ e12 @ e10 )
!= e12 )
& ( ( op1 @ e12 @ e12 )
= e10 ) ) ) ).
thf(zf_stmt_62,type,
zip_tseitin_1: $o ).
thf(zf_stmt_63,axiom,
( zip_tseitin_1
=> ( ( ( op1 @ e11 @ 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_cl254,plain,
( zip_tseitin_7
| zip_tseitin_6
| zip_tseitin_5
| zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl235,plain,
( ( ( op1 @ e13 @ e13 )
= e11 )
| ~ zip_tseitin_7 ),
inference(cnf,[status(esa)],[zf_stmt_51]) ).
thf(zip_derived_cl292_065,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1448,plain,
( ( e12 = e11 )
| ~ zip_tseitin_7 ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl292]) ).
thf(zip_derived_cl194_066,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1449,plain,
~ zip_tseitin_7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1448,zip_derived_cl194]) ).
thf(zip_derived_cl231,plain,
( ( ( op1 @ e11 @ e11 )
= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf(zip_derived_cl230,plain,
( ( ( op1 @ e11 @ e11 )
!= e11 )
| ~ zip_tseitin_5 ),
inference(cnf,[status(esa)],[zf_stmt_55]) ).
thf(zip_derived_cl1438,plain,
~ zip_tseitin_5,
inference(clc,[status(thm)],[zip_derived_cl231,zip_derived_cl230]) ).
thf(zip_derived_cl1496,plain,
( zip_tseitin_6
| zip_tseitin_4 ),
inference(demod,[status(thm)],[zip_derived_cl254,zip_derived_cl1449,zip_derived_cl1438]) ).
thf(zip_derived_cl229,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_57]) ).
thf(zip_derived_cl1498,plain,
( zip_tseitin_6
| ( ( op1 @ e10 @ e10 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1496,zip_derived_cl229]) ).
thf(zip_derived_cl233,plain,
( ( ( op1 @ e12 @ e12 )
= e11 )
| ~ zip_tseitin_6 ),
inference(cnf,[status(esa)],[zf_stmt_53]) ).
thf(zip_derived_cl1527,plain,
( ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1498,zip_derived_cl233]) ).
thf(zip_derived_cl102,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl293,plain,
( e11
= ( op1 @ ( op1 @ e13 @ e13 ) @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl292_067,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1784,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292]) ).
thf(zip_derived_cl1785,plain,
( ( op1 @ e12 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl1784]) ).
thf(zip_derived_cl2626,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2630,plain,
( e11
!= ( op1 @ e13 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl2626]) ).
thf(zip_derived_cl2670,plain,
( ( e11 != e11 )
| ( ( op1 @ e13 @ e11 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2004,zip_derived_cl2630]) ).
thf(zip_derived_cl2672,plain,
( ( op1 @ e13 @ e11 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl2670]) ).
thf(zip_derived_cl2600_068,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl301_069,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2600_070,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2491_071,plain,
( ( op2 @ e20 @ e22 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl61,zip_derived_cl1951,zip_derived_cl1914,zip_derived_cl2022]) ).
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_cl292_072,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1813,plain,
( ( e12 = e13 )
| ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl292]) ).
thf(zip_derived_cl192,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1814,plain,
( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1813,zip_derived_cl192]) ).
thf(zip_derived_cl1836_073,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl1853,plain,
( ( e10 = e13 )
| ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1814,zip_derived_cl1836]) ).
thf(zip_derived_cl195,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1854,plain,
( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1853,zip_derived_cl195]) ).
thf(zip_derived_cl2672_074,plain,
( ( op1 @ e13 @ e11 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl2670]) ).
thf(zip_derived_cl2734,plain,
( ( e11 = e13 )
| ( ( op1 @ e13 @ e10 )
= e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1854,zip_derived_cl2672]) ).
thf(zip_derived_cl193,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2735,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2734,zip_derived_cl193]) ).
thf(zip_derived_cl301_075,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl301_076,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2584_077,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
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_cl295_078,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl1898_079,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
thf(zip_derived_cl2465_080,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56,zip_derived_cl1962,zip_derived_cl1901,zip_derived_cl1515]) ).
thf(zip_derived_cl2532,plain,
( ( e22 = e20 )
| ( e21 = e20 )
| ( e23 = e20 )
| ( ( op2 @ e20 @ e23 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl295,zip_derived_cl1898,zip_derived_cl2465]) ).
thf(zip_derived_cl201_081,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl203_082,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl202_083,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2533,plain,
( ( op2 @ e20 @ e23 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2532,zip_derived_cl201,zip_derived_cl203,zip_derived_cl202]) ).
thf(zip_derived_cl1784_084,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292]) ).
thf(zip_derived_cl2600_085,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl1909_086,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl301_087,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2599_088,plain,
( ( op2 @ e21 @ e20 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2598,zip_derived_cl202,zip_derived_cl200,zip_derived_cl198]) ).
thf(zip_derived_cl249,plain,
( ( ( op1 @ e12 @ e12 )
= e13 )
| ~ zip_tseitin_14 ),
inference(cnf,[status(esa)],[zf_stmt_37]) ).
thf(zip_derived_cl252,plain,
( zip_tseitin_15
| zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_66]) ).
thf(zip_derived_cl251,plain,
( ( ( op1 @ e13 @ e13 )
= e13 )
| ~ zip_tseitin_15 ),
inference(cnf,[status(esa)],[zf_stmt_35]) ).
thf(zip_derived_cl292_089,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1486,plain,
( ( e12 = e13 )
| ~ zip_tseitin_15 ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl292]) ).
thf(zip_derived_cl192_090,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1487,plain,
~ zip_tseitin_15,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1486,zip_derived_cl192]) ).
thf(zip_derived_cl1488,plain,
( zip_tseitin_14
| zip_tseitin_13
| zip_tseitin_12 ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl1487]) ).
thf(zip_derived_cl245,plain,
( ( ( op1 @ e10 @ e10 )
= e13 )
| ~ zip_tseitin_12 ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl1490,plain,
( zip_tseitin_13
| zip_tseitin_14
| ( ( op1 @ e10 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl245]) ).
thf(zip_derived_cl2626_091,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2637,plain,
( zip_tseitin_13
| zip_tseitin_14
| ( e11 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl1490,zip_derived_cl2626]) ).
thf(zip_derived_cl193_092,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2638,plain,
( zip_tseitin_13
| zip_tseitin_14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2637,zip_derived_cl193]) ).
thf(zip_derived_cl247,plain,
( ( ( op1 @ e11 @ e11 )
= e13 )
| ~ zip_tseitin_13 ),
inference(cnf,[status(esa)],[zf_stmt_39]) ).
thf(zip_derived_cl2696,plain,
( zip_tseitin_14
| ( ( op1 @ e11 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2638,zip_derived_cl247]) ).
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_cl227,plain,
( ( ( op1 @ e13 @ e13 )
= e10 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_59]) ).
thf(zip_derived_cl292_093,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1446,plain,
( ( e12 = e10 )
| ~ zip_tseitin_3 ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl292]) ).
thf(zip_derived_cl196,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl1447,plain,
~ zip_tseitin_3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1446,zip_derived_cl196]) ).
thf(zip_derived_cl1500,plain,
( zip_tseitin_2
| zip_tseitin_1
| zip_tseitin_0 ),
inference(demod,[status(thm)],[zip_derived_cl255,zip_derived_cl1447]) ).
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_cl1431,plain,
~ zip_tseitin_0,
inference(clc,[status(thm)],[zip_derived_cl221,zip_derived_cl220]) ).
thf(zip_derived_cl1501,plain,
( zip_tseitin_1
| zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl1500,zip_derived_cl1431]) ).
thf(zip_derived_cl223,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_63]) ).
thf(zip_derived_cl1503,plain,
( zip_tseitin_2
| ( ( op1 @ e11 @ e11 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1501,zip_derived_cl223]) ).
thf(zip_derived_cl225,plain,
( ( ( op1 @ e12 @ e12 )
= e10 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_61]) ).
thf(zip_derived_cl1552,plain,
( ( ( op1 @ e11 @ e11 )
= e10 )
| ( ( op1 @ e12 @ e12 )
= e10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl225]) ).
thf(zip_derived_cl126,plain,
( ( op1 @ e12 @ e12 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1836_094,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl1839,plain,
( ( op1 @ e12 @ e12 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl1836]) ).
thf(zip_derived_cl2789,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1839]) ).
thf(zip_derived_cl2798,plain,
( zip_tseitin_14
| ( e10 = e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl2696,zip_derived_cl2789]) ).
thf(zip_derived_cl195_095,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2799,plain,
zip_tseitin_14,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2798,zip_derived_cl195]) ).
thf(zip_derived_cl2802,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl2799]) ).
thf(zip_derived_cl301_096,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl1909_097,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl1909_098,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl1966_099,plain,
( ( op2 @ e21 @ e21 )
= e20 ),
inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl1961]) ).
thf(zip_derived_cl34,plain,
( ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl97,plain,
( ( op1 @ e13 @ e11 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl292_100,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1441,plain,
( ( op1 @ e13 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl292]) ).
thf(zip_derived_cl2169,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34,zip_derived_cl1441]) ).
thf(zip_derived_cl2789_101,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1839]) ).
thf(zip_derived_cl2796,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( e10 = e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2169,zip_derived_cl2789]) ).
thf(zip_derived_cl196_102,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2797,plain,
( ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2796,zip_derived_cl196]) ).
thf(zip_derived_cl116,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
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_cl1836_103,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl2079,plain,
( ( e10 = e12 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl1836]) ).
thf(zip_derived_cl196_104,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2080,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2079,zip_derived_cl196]) ).
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_cl1836_105,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl2102,plain,
( ( e10 = e11 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl1836]) ).
thf(zip_derived_cl1785_106,plain,
( ( op1 @ e12 @ e12 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl1784]) ).
thf(zip_derived_cl197_107,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2103,plain,
( ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2102,zip_derived_cl1785,zip_derived_cl197]) ).
thf(zip_derived_cl118,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2626_108,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2628,plain,
( e11
!= ( op1 @ e10 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl2626]) ).
thf(zip_derived_cl2658,plain,
( ( e11 != e11 )
| ( ( op1 @ e11 @ e12 )
= e11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2103,zip_derived_cl2628]) ).
thf(zip_derived_cl2660,plain,
( ( op1 @ e11 @ e12 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl2658]) ).
thf(zip_derived_cl2715,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( e11 = e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2080,zip_derived_cl2660]) ).
thf(zip_derived_cl194_109,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2716,plain,
( ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2715,zip_derived_cl194]) ).
thf(zip_derived_cl2802_110,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl2799]) ).
thf(zip_derived_cl2988,plain,
( ( e13 = e12 )
| ( ( op1 @ e10 @ e12 )
= e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl2716,zip_derived_cl2802]) ).
thf(zip_derived_cl192_111,plain,
e12 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2989,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2988,zip_derived_cl192]) ).
thf(zip_derived_cl2990,plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl2989]) ).
thf(zip_derived_cl3001,plain,
( ( op1 @ e12 @ e11 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2797,zip_derived_cl2990]) ).
thf(zip_derived_cl1909_112,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl1909_113,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2600_114,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2563_115,plain,
( ( op2 @ e21 @ e22 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2562,zip_derived_cl200,zip_derived_cl199,zip_derived_cl203]) ).
thf(zip_derived_cl46,plain,
( ( ( op1 @ e13 @ e10 )
= e10 )
| ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl100,plain,
( ( op1 @ e13 @ e10 )
!= ( op1 @ e13 @ e12 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1836_116,plain,
( e10
= ( op1 @ e13 @ e12 ) ),
inference(demod,[status(thm)],[zip_derived_cl294,zip_derived_cl292]) ).
thf(zip_derived_cl1838,plain,
( ( op1 @ e13 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl1836]) ).
thf(zip_derived_cl2366,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl46,zip_derived_cl1838]) ).
thf(zip_derived_cl2626_117,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2641,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 )
| ( e11 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2366,zip_derived_cl2626]) ).
thf(zip_derived_cl197_118,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2642,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2641,zip_derived_cl197]) ).
thf(ax1,axiom,
( ( ( ( op1 @ e13 @ e13 )
= e13 )
| ( ( op1 @ e13 @ e13 )
= e12 )
| ( ( op1 @ e13 @ e13 )
= e11 )
| ( ( op1 @ e13 @ e13 )
= e10 ) )
& ( ( ( op1 @ e13 @ e12 )
= e13 )
| ( ( op1 @ e13 @ e12 )
= e12 )
| ( ( op1 @ e13 @ e12 )
= e11 )
| ( ( op1 @ e13 @ e12 )
= e10 ) )
& ( ( ( op1 @ e13 @ e11 )
= e13 )
| ( ( op1 @ e13 @ e11 )
= e12 )
| ( ( op1 @ e13 @ e11 )
= e11 )
| ( ( op1 @ e13 @ e11 )
= e10 ) )
& ( ( ( op1 @ e13 @ e10 )
= e13 )
| ( ( op1 @ e13 @ e10 )
= e12 )
| ( ( op1 @ e13 @ e10 )
= e11 )
| ( ( op1 @ e13 @ e10 )
= e10 ) )
& ( ( ( op1 @ e12 @ e13 )
= e13 )
| ( ( op1 @ e12 @ e13 )
= e12 )
| ( ( op1 @ e12 @ e13 )
= e11 )
| ( ( op1 @ e12 @ e13 )
= e10 ) )
& ( ( ( op1 @ e12 @ e12 )
= e13 )
| ( ( op1 @ e12 @ e12 )
= e12 )
| ( ( op1 @ e12 @ e12 )
= e11 )
| ( ( op1 @ e12 @ e12 )
= e10 ) )
& ( ( ( op1 @ e12 @ e11 )
= e13 )
| ( ( op1 @ e12 @ e11 )
= e12 )
| ( ( op1 @ e12 @ e11 )
= e11 )
| ( ( op1 @ e12 @ e11 )
= e10 ) )
& ( ( ( op1 @ e12 @ e10 )
= e13 )
| ( ( op1 @ e12 @ e10 )
= e12 )
| ( ( op1 @ e12 @ e10 )
= e11 )
| ( ( op1 @ e12 @ e10 )
= e10 ) )
& ( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) )
& ( ( ( op1 @ e11 @ e12 )
= e13 )
| ( ( op1 @ e11 @ e12 )
= e12 )
| ( ( op1 @ e11 @ e12 )
= e11 )
| ( ( op1 @ e11 @ e12 )
= e10 ) )
& ( ( ( op1 @ e11 @ e11 )
= e13 )
| ( ( op1 @ e11 @ e11 )
= e12 )
| ( ( op1 @ e11 @ e11 )
= e11 )
| ( ( op1 @ e11 @ e11 )
= e10 ) )
& ( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) )
& ( ( ( op1 @ e10 @ e13 )
= e13 )
| ( ( op1 @ e10 @ e13 )
= e12 )
| ( ( op1 @ e10 @ e13 )
= e11 )
| ( ( op1 @ e10 @ e13 )
= e10 ) )
& ( ( ( op1 @ e10 @ e12 )
= e13 )
| ( ( op1 @ e10 @ e12 )
= e12 )
| ( ( op1 @ e10 @ e12 )
= e11 )
| ( ( op1 @ e10 @ e12 )
= e10 ) )
& ( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) )
& ( ( ( op1 @ e10 @ e10 )
= e13 )
| ( ( op1 @ e10 @ e10 )
= e12 )
| ( ( op1 @ e10 @ e10 )
= e11 )
| ( ( op1 @ e10 @ e10 )
= e10 ) ) ) ).
thf(zip_derived_cl11,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl113,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2789_119,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1839]) ).
thf(zip_derived_cl2791,plain,
( ( op1 @ e11 @ e10 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl2789]) ).
thf(zip_derived_cl2808,plain,
( ( e10 != e10 )
| ( ( op1 @ e11 @ e10 )
= e11 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2791]) ).
thf(zip_derived_cl2809,plain,
( ( ( op1 @ e11 @ e10 )
= e13 )
| ( ( op1 @ e11 @ e10 )
= e12 )
| ( ( op1 @ e11 @ e10 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2808]) ).
thf(zip_derived_cl143,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e11 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2626_120,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2632,plain,
( e11
!= ( op1 @ e11 @ e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl2626]) ).
thf(zip_derived_cl139,plain,
( ( op1 @ e11 @ e10 )
!= ( op1 @ e13 @ e10 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2735_121,plain,
( ( op1 @ e13 @ e10 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2734,zip_derived_cl193]) ).
thf(zip_derived_cl2753,plain,
( ( op1 @ e11 @ e10 )
!= e13 ),
inference(demod,[status(thm)],[zip_derived_cl139,zip_derived_cl2735]) ).
thf(zip_derived_cl2810,plain,
( ( op1 @ e11 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2809,zip_derived_cl2632,zip_derived_cl2753]) ).
thf(zip_derived_cl2940,plain,
( ( ( op1 @ e12 @ e10 )
= e10 )
| ( e12 = e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2642,zip_derived_cl2810]) ).
thf(zip_derived_cl196_122,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2941,plain,
( ( op1 @ e12 @ e10 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2940,zip_derived_cl196]) ).
thf(zip_derived_cl2584_123,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl1909_124,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2584_125,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl2465_126,plain,
( ( op2 @ e21 @ e23 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl56,zip_derived_cl1962,zip_derived_cl1901,zip_derived_cl1515]) ).
thf(zip_derived_cl8,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl109,plain,
( ( op1 @ e11 @ e11 )
!= ( op1 @ e11 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2789_127,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1839]) ).
thf(zip_derived_cl2790,plain,
( e10
!= ( op1 @ e11 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl2789]) ).
thf(zip_derived_cl2805,plain,
( ( e10 != e10 )
| ( ( op1 @ e11 @ e13 )
= e11 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2790]) ).
thf(zip_derived_cl2806,plain,
( ( ( op1 @ e11 @ e13 )
= e13 )
| ( ( op1 @ e11 @ e13 )
= e12 )
| ( ( op1 @ e11 @ e13 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2805]) ).
thf(zip_derived_cl122,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e12 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1784_128,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292]) ).
thf(zip_derived_cl1788,plain,
( ( op1 @ e11 @ e13 )
!= e11 ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl1784]) ).
thf(zip_derived_cl121,plain,
( ( op1 @ e11 @ e13 )
!= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl292_129,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1444,plain,
( ( op1 @ e11 @ e13 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl292]) ).
thf(zip_derived_cl2807,plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2806,zip_derived_cl1788,zip_derived_cl1444]) ).
thf(zip_derived_cl301_130,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2600_131,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl301_132,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
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_cl1898_133,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
thf(zip_derived_cl2016_134,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl2015]) ).
thf(zip_derived_cl2453_135,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54,zip_derived_cl1963,zip_derived_cl1899,zip_derived_cl2019]) ).
thf(zip_derived_cl2572,plain,
( ( e21 = e20 )
| ( e23 = e20 )
| ( e22 = e20 )
| ( ( op2 @ e22 @ e20 )
= e20 ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl1898,zip_derived_cl2016,zip_derived_cl2453]) ).
thf(zip_derived_cl202_136,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl201_137,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl203_138,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax8]) ).
thf(zip_derived_cl2573,plain,
( ( op2 @ e22 @ e20 )
= e20 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2572,zip_derived_cl202,zip_derived_cl201,zip_derived_cl203]) ).
thf(zip_derived_cl2660_139,plain,
( ( op1 @ e11 @ e12 )
= e11 ),
inference(simplify,[status(thm)],[zip_derived_cl2658]) ).
thf(zip_derived_cl2600_140,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2600_141,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl1909_142,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2453_143,plain,
( ( op2 @ e22 @ e21 )
= e22 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54,zip_derived_cl1963,zip_derived_cl1899,zip_derived_cl2019]) ).
thf(zip_derived_cl2789_144,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1839]) ).
thf(zip_derived_cl2584_145,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl2600_146,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2600_147,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2016_148,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl2015]) ).
thf(zip_derived_cl2810_149,plain,
( ( op1 @ e11 @ e10 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2809,zip_derived_cl2632,zip_derived_cl2753]) ).
thf(zip_derived_cl1909_150,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2600_151,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2584_152,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl1898_153,plain,
( e21
= ( op2 @ e22 @ e23 ) ),
inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl295]) ).
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_cl292_154,plain,
( e12
= ( op1 @ e13 @ e13 ) ),
inference(cnf,[status(esa)],[ax12]) ).
thf(zip_derived_cl1784_155,plain,
( e11
= ( op1 @ e12 @ e13 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl292]) ).
thf(zip_derived_cl2028,plain,
( ( e12 = e10 )
| ( e11 = e10 )
| ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl292,zip_derived_cl1784]) ).
thf(zip_derived_cl197_156,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl196_157,plain,
e10 != e12,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2029,plain,
( ( ( op1 @ e11 @ e13 )
= e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2028,zip_derived_cl197,zip_derived_cl196]) ).
thf(zip_derived_cl2807_158,plain,
( ( op1 @ e11 @ e13 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2806,zip_derived_cl1788,zip_derived_cl1444]) ).
thf(zip_derived_cl2852,plain,
( ( e13 = e10 )
| ( ( op1 @ e10 @ e13 )
= e10 ) ),
inference(demod,[status(thm)],[zip_derived_cl2029,zip_derived_cl2807]) ).
thf(zip_derived_cl195_159,plain,
e10 != e13,
inference(cnf,[status(esa)],[ax7]) ).
thf(zip_derived_cl2853,plain,
( ( op1 @ e10 @ e13 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2852,zip_derived_cl195]) ).
thf(zip_derived_cl2584_160,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl2584_161,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl301_162,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2442_163,plain,
( ( op2 @ e23 @ e20 )
= e23 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl51,zip_derived_cl1949,zip_derived_cl1916,zip_derived_cl1513]) ).
thf(zip_derived_cl2989_164,plain,
( ( op1 @ e10 @ e12 )
= e12 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2988,zip_derived_cl192]) ).
thf(zip_derived_cl1909_165,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2584_166,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl1909_167,plain,
( ( h1 @ e12 )
= e21 ),
inference(simplify,[status(thm)],[zip_derived_cl1908]) ).
thf(zip_derived_cl2527_168,plain,
( ( op2 @ e23 @ e21 )
= e21 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2526,zip_derived_cl199,zip_derived_cl203,zip_derived_cl200]) ).
thf(zip_derived_cl14,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e10 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl137,plain,
( ( op1 @ e10 @ e11 )
!= ( op1 @ e11 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2789_169,plain,
( ( op1 @ e11 @ e11 )
= e10 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1552,zip_derived_cl1839]) ).
thf(zip_derived_cl2793,plain,
( ( op1 @ e10 @ e11 )
!= e10 ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl2789]) ).
thf(zip_derived_cl2814,plain,
( ( e10 != e10 )
| ( ( op1 @ e10 @ e11 )
= e11 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl2793]) ).
thf(zip_derived_cl2815,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 )
| ( ( op1 @ e10 @ e11 )
= e11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2814]) ).
thf(zip_derived_cl119,plain,
( ( op1 @ e10 @ e10 )
!= ( op1 @ e10 @ e11 ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2626_170,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2629,plain,
( e11
!= ( op1 @ e10 @ e11 ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl2626]) ).
thf(zip_derived_cl2816,plain,
( ( ( op1 @ e10 @ e11 )
= e13 )
| ( ( op1 @ e10 @ e11 )
= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2815,zip_derived_cl2629]) ).
thf(zip_derived_cl2990_171,plain,
( ( op1 @ e10 @ e11 )
!= e12 ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl2989]) ).
thf(zip_derived_cl3031,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2816,zip_derived_cl2990]) ).
thf(zip_derived_cl301_172,plain,
( ( h1 @ e13 )
= e20 ),
inference(cnf,[status(esa)],[ax14]) ).
thf(zip_derived_cl2584_173,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl2600_174,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl1947_175,plain,
( e20
= ( op2 @ e23 @ e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl295]) ).
thf(zip_derived_cl2626_176,plain,
( ( op1 @ e10 @ e10 )
= e11 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1527,zip_derived_cl1785]) ).
thf(zip_derived_cl2600_177,plain,
( ( h1 @ e11 )
= e22 ),
inference(demod,[status(thm)],[zip_derived_cl2067,zip_derived_cl2599]) ).
thf(zip_derived_cl2584_178,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl2584_179,plain,
( ( h1 @ e10 )
= e23 ),
inference(demod,[status(thm)],[zip_derived_cl2295,zip_derived_cl2580]) ).
thf(zip_derived_cl295_180,plain,
( e22
= ( op2 @ e23 @ e23 ) ),
inference(cnf,[status(esa)],[ax13]) ).
thf(zip_derived_cl4442,plain,
( ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( e22 != e22 )
| ( e20 != e20 )
| ( e22 != e22 )
| ( e20 != e20 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( e20 != e20 )
| ( e22 != e22 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e23 != e23 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( e22 != e22 ) ),
inference(demod,[status(thm)],[zip_derived_cl529,zip_derived_cl2584,zip_derived_cl2600,zip_derived_cl1909,zip_derived_cl301,zip_derived_cl292,zip_derived_cl1909,zip_derived_cl301,zip_derived_cl301,zip_derived_cl1924,zip_derived_cl1836,zip_derived_cl2584,zip_derived_cl301,zip_derived_cl1909,zip_derived_cl2579,zip_derived_cl2672,zip_derived_cl2600,zip_derived_cl301,zip_derived_cl2600,zip_derived_cl2491,zip_derived_cl2735,zip_derived_cl301,zip_derived_cl301,zip_derived_cl2584,zip_derived_cl2533,zip_derived_cl1784,zip_derived_cl2600,zip_derived_cl1909,zip_derived_cl301,zip_derived_cl2599,zip_derived_cl2802,zip_derived_cl301,zip_derived_cl1909,zip_derived_cl1909,zip_derived_cl1966,zip_derived_cl3001,zip_derived_cl1909,zip_derived_cl1909,zip_derived_cl2600,zip_derived_cl2563,zip_derived_cl2941,zip_derived_cl2584,zip_derived_cl1909,zip_derived_cl2584,zip_derived_cl2465,zip_derived_cl2807,zip_derived_cl301,zip_derived_cl2600,zip_derived_cl301,zip_derived_cl2573,zip_derived_cl2660,zip_derived_cl2600,zip_derived_cl2600,zip_derived_cl1909,zip_derived_cl2453,zip_derived_cl2789,zip_derived_cl2584,zip_derived_cl2600,zip_derived_cl2600,zip_derived_cl2016,zip_derived_cl2810,zip_derived_cl1909,zip_derived_cl2600,zip_derived_cl2584,zip_derived_cl1898,zip_derived_cl2853,zip_derived_cl2584,zip_derived_cl2584,zip_derived_cl301,zip_derived_cl2442,zip_derived_cl2989,zip_derived_cl1909,zip_derived_cl2584,zip_derived_cl1909,zip_derived_cl2527,zip_derived_cl3031,zip_derived_cl301,zip_derived_cl2584,zip_derived_cl2600,zip_derived_cl1947,zip_derived_cl2626,zip_derived_cl2600,zip_derived_cl2584,zip_derived_cl2584,zip_derived_cl295]) ).
thf(zip_derived_cl4443,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.81 % Problem : ALG117+1 : TPTP v9.2.0. Released v2.7.0.
% 0.09/0.92 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5mBRRRSc20 true
% 0.11/1.32 % Computer : n029.cluster.edu
% 0.11/1.32 % Model : x86_64 x86_64
% 0.11/1.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.32 % Memory : 8042.1875MB
% 0.11/1.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.32 % CPULimit : 300
% 0.11/1.32 % WCLimit : 300
% 0.11/1.32 % DateTime : Wed Oct 1 17:01:09 EDT 2025
% 0.11/1.34 % CPUTime :
% 0.11/1.34 % Running portfolio for 300 s
% 0.11/1.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/1.36 % Number of cores: 8
% 0.14/1.39 % Python version: Python 3.6.8
% 0.14/1.40 % Running in FO mode
% 0.36/1.97 % Total configuration time : 435
% 0.36/1.97 % Estimated wc time : 1092
% 0.36/1.97 % Estimated cpu time (7 cpus) : 156.0
% 0.83/2.30 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/2.31 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/2.35 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.85/2.38 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.85/2.39 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.85/2.39 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.85/2.39 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.91/4.64 % Solved by fo/fo4.sh.
% 7.91/4.64 % done 1420 iterations in 2.060s
% 7.91/4.64 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.91/4.64 % SZS output start Refutation
% See solution above
% 7.91/4.64
% 7.91/4.64
% 7.91/4.64 % Terminating...
% 8.17/4.83 % Runner terminated.
% 8.17/4.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------