TSTP Solution File: ALG185+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NRVK1Lhg4X true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 17:11:54 EDT 2023
% Result : Theorem 1.29s 1.32s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 629 ( 177 unt; 14 typ; 0 def)
% Number of atoms : 1532 (1530 equ; 0 cnn)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 3587 ( 229 ~; 209 |; 354 &;2441 @)
% ( 0 <=>; 2 =>; 352 <=; 0 <~>)
% Maximal formula depth : 63 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(e21_type,type,
e21: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(e20_type,type,
e20: $i ).
thf(e22_type,type,
e22: $i ).
thf(j_type,type,
j: $i > $i ).
thf(e14_type,type,
e14: $i ).
thf(e24_type,type,
e24: $i ).
thf(e13_type,type,
e13: $i ).
thf(h_type,type,
h: $i > $i ).
thf(e12_type,type,
e12: $i ).
thf(e11_type,type,
e11: $i ).
thf(e10_type,type,
e10: $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(e23_type,type,
e23: $i ).
thf(co1,conjecture,
( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl95,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl168,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl96,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl106,plain,
( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
( ( ( op1 @ e14 @ e14 )
= e14 )
& ( ( op1 @ e14 @ e13 )
= e10 )
& ( ( op1 @ e14 @ e12 )
= e11 )
& ( ( op1 @ e14 @ e11 )
= e12 )
& ( ( op1 @ e14 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e14 )
= e11 )
& ( ( op1 @ e13 @ e13 )
= e13 )
& ( ( op1 @ e13 @ e12 )
= e10 )
& ( ( op1 @ e13 @ e11 )
= e14 )
& ( ( op1 @ e13 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e14 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e14 )
& ( ( op1 @ e12 @ e12 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e14 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e12 )
= e13 )
& ( ( op1 @ e11 @ e11 )
= e11 )
& ( ( op1 @ e11 @ e10 )
= e14 )
& ( ( op1 @ e10 @ e14 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e14 )
& ( ( op1 @ e10 @ e11 )
= e13 )
& ( ( op1 @ e10 @ e10 )
= e10 ) ) ).
thf(zip_derived_cl68,plain,
( ( op1 @ e10 @ e11 )
= e13 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl589,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).
thf(zip_derived_cl594,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl589]) ).
thf(zip_derived_cl888,plain,
( ( ( h @ e13 )
= ( op2 @ e23 @ e24 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl594]) ).
thf(ax5,axiom,
( ( ( op2 @ e24 @ e24 )
= e24 )
& ( ( op2 @ e24 @ e23 )
= e21 )
& ( ( op2 @ e24 @ e22 )
= e20 )
& ( ( op2 @ e24 @ e21 )
= e22 )
& ( ( op2 @ e24 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e24 )
= e22 )
& ( ( op2 @ e23 @ e23 )
= e23 )
& ( ( op2 @ e23 @ e22 )
= e21 )
& ( ( op2 @ e23 @ e21 )
= e20 )
& ( ( op2 @ e23 @ e20 )
= e24 )
& ( ( op2 @ e22 @ e24 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e24 )
& ( ( op2 @ e22 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e24 )
= e20 )
& ( ( op2 @ e21 @ e23 )
= e24 )
& ( ( op2 @ e21 @ e22 )
= e23 )
& ( ( op2 @ e21 @ e21 )
= e21 )
& ( ( op2 @ e21 @ e20 )
= e22 )
& ( ( op2 @ e20 @ e24 )
= e21 )
& ( ( op2 @ e20 @ e23 )
= e22 )
& ( ( op2 @ e20 @ e22 )
= e24 )
& ( ( op2 @ e20 @ e21 )
= e23 )
& ( ( op2 @ e20 @ e20 )
= e20 ) ) ).
thf(zip_derived_cl75,plain,
( ( op2 @ e23 @ e24 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl895,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl888,zip_derived_cl75]) ).
thf(zip_derived_cl108,plain,
( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
( ( op1 @ e10 @ e13 )
= e11 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl615,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl6694,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl895,zip_derived_cl615]) ).
thf(zip_derived_cl174_001,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl168_002,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl77,plain,
( ( op2 @ e23 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl6733,plain,
( ( e24 = e21 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6694,zip_derived_cl174,zip_derived_cl168,zip_derived_cl77]) ).
thf(ax2,axiom,
( ( e23 != e24 )
& ( e22 != e24 )
& ( e22 != e23 )
& ( e21 != e24 )
& ( e21 != e23 )
& ( e21 != e22 )
& ( e20 != e24 )
& ( e20 != e23 )
& ( e20 != e22 )
& ( e20 != e21 ) ) ).
thf(zip_derived_cl13,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl6734,plain,
( $false
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6733,zip_derived_cl13]) ).
thf(zip_derived_cl165,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl173,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl589_003,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).
thf(zip_derived_cl593,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl589]) ).
thf(zip_derived_cl856,plain,
( ( ( h @ e13 )
= ( op2 @ e20 @ e23 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl593]) ).
thf(zip_derived_cl91,plain,
( ( op2 @ e20 @ e23 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl863,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl856,zip_derived_cl91]) ).
thf(zip_derived_cl615_004,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl5465,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl863,zip_derived_cl615]) ).
thf(zip_derived_cl173_005,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl165_006,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl92,plain,
( ( op2 @ e20 @ e22 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl5497,plain,
( ( e23 = e24 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5465,zip_derived_cl173,zip_derived_cl165,zip_derived_cl92]) ).
thf(zip_derived_cl10,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('0',plain,
( ( ( h @ e11 )
!= e23 )
| ( ( h @ e10 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5497,zip_derived_cl10]) ).
thf(zip_derived_cl165_007,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl594_008,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl589]) ).
thf(zip_derived_cl885,plain,
( ( ( h @ e13 )
= ( op2 @ e20 @ e24 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl594]) ).
thf(zip_derived_cl90,plain,
( ( op2 @ e20 @ e24 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl892,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl885,zip_derived_cl90]) ).
thf(zip_derived_cl615_009,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl6242,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl892,zip_derived_cl615]) ).
thf(zip_derived_cl174_010,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl165_011,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl93,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl6280,plain,
( ( e24 = e23 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6242,zip_derived_cl174,zip_derived_cl165,zip_derived_cl93]) ).
thf(zip_derived_cl10_012,plain,
e23 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('1',plain,
( ( ( h @ e10 )
!= e20 )
| ( ( h @ e11 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6280,zip_derived_cl10]) ).
thf(zip_derived_cl172,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl161,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4233,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl161]) ).
thf(zip_derived_cl102,plain,
( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
( ( ( j @ e22 )
= e13 )
<= ( ( j @ e22 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl4413,plain,
( ( e11 = e13 )
<= ( ( ( h @ e11 )
= e22 )
& ( ( j @ e22 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4233,zip_derived_cl203]) ).
thf(ax1,axiom,
( ( e13 != e14 )
& ( e12 != e14 )
& ( e12 != e13 )
& ( e11 != e14 )
& ( e11 != e13 )
& ( e11 != e12 )
& ( e10 != e14 )
& ( e10 != e13 )
& ( e10 != e12 )
& ( e10 != e11 ) ) ).
thf(zip_derived_cl4,plain,
e11 != e13,
inference(cnf,[status(esa)],[ax1]) ).
thf('2',plain,
( ( ( h @ e11 )
!= e22 )
| ( ( j @ e22 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4413,zip_derived_cl4]) ).
thf(zip_derived_cl4233_013,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl161]) ).
thf(zip_derived_cl200,plain,
( ( ( j @ e22 )
= e10 )
<= ( ( j @ e22 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl4411,plain,
( ( e11 = e10 )
<= ( ( ( h @ e11 )
= e22 )
& ( ( j @ e22 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4233,zip_derived_cl200]) ).
thf(zip_derived_cl9,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf('3',plain,
( ( ( h @ e11 )
!= e22 )
| ( ( j @ e22 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4411,zip_derived_cl9]) ).
thf(zip_derived_cl4233_014,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl161]) ).
thf(zip_derived_cl202,plain,
( ( ( j @ e22 )
= e12 )
<= ( ( j @ e22 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl4412,plain,
( ( e11 = e12 )
<= ( ( ( h @ e11 )
= e22 )
& ( ( j @ e22 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4233,zip_derived_cl202]) ).
thf(zip_derived_cl5,plain,
e11 != e12,
inference(cnf,[status(esa)],[ax1]) ).
thf('4',plain,
( ( ( h @ e11 )
!= e22 )
| ( ( j @ e22 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4412,zip_derived_cl5]) ).
thf(zip_derived_cl166,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl172_015,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl589_016,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).
thf(zip_derived_cl592,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl589]) ).
thf(zip_derived_cl843,plain,
( ( ( h @ e13 )
= ( op2 @ e21 @ e22 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl592]) ).
thf(zip_derived_cl87,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl850,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl843,zip_derived_cl87]) ).
thf(zip_derived_cl615_017,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl2491,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl850,zip_derived_cl615]) ).
thf(zip_derived_cl172_018,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl166_019,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl86,plain,
( ( op2 @ e21 @ e23 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2518,plain,
( ( e22 = e24 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2491,zip_derived_cl172,zip_derived_cl166,zip_derived_cl86]) ).
thf(zip_derived_cl11,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('5',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( h @ e11 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2518,zip_derived_cl11]) ).
thf(zip_derived_cl167,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl160,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4068,plain,
( ( ( j @ e22 )
= e10 )
<= ( ( h @ e10 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl160]) ).
thf(zip_derived_cl201,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( j @ e22 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl4261,plain,
( ( e10 = e11 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( j @ e22 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4068,zip_derived_cl201]) ).
thf(zip_derived_cl9_020,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf('6',plain,
( ( ( j @ e22 )
!= e11 )
| ( ( h @ e10 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4261,zip_derived_cl9]) ).
thf(zip_derived_cl169,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl593_021,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl589]) ).
thf(zip_derived_cl860,plain,
( ( ( h @ e13 )
= ( op2 @ e24 @ e23 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl593]) ).
thf(zip_derived_cl71,plain,
( ( op2 @ e24 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl867,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl860,zip_derived_cl71]) ).
thf(zip_derived_cl615_022,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl5663,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl867,zip_derived_cl615]) ).
thf(zip_derived_cl173_023,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl169_024,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl73,plain,
( ( op2 @ e24 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl5699,plain,
( ( e23 = e22 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5663,zip_derived_cl173,zip_derived_cl169,zip_derived_cl73]) ).
thf(zip_derived_cl12,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('7',plain,
( ( ( h @ e10 )
!= e24 )
| ( ( h @ e11 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5699,zip_derived_cl12]) ).
thf(zip_derived_cl174_025,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl161_026,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4235,plain,
( ( ( j @ e24 )
= e11 )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl161]) ).
thf(zip_derived_cl169_027,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl160_028,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4070,plain,
( ( ( j @ e24 )
= e10 )
<= ( ( h @ e10 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl160]) ).
thf(zip_derived_cl4467,plain,
( ( e11 = e10 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4235,zip_derived_cl4070]) ).
thf(zip_derived_cl9_029,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf('8',plain,
( ( ( h @ e10 )
!= e24 )
| ( ( h @ e11 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4467,zip_derived_cl9]) ).
thf(zip_derived_cl169_030,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl592_031,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl589]) ).
thf(zip_derived_cl846,plain,
( ( ( h @ e13 )
= ( op2 @ e24 @ e22 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl592]) ).
thf(zip_derived_cl72,plain,
( ( op2 @ e24 @ e22 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl853,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl846,zip_derived_cl72]) ).
thf(zip_derived_cl615_032,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl3181,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl853,zip_derived_cl615]) ).
thf(zip_derived_cl172_033,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl169_034,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl74,plain,
( ( op2 @ e24 @ e20 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl3206,plain,
( ( e22 = e23 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3181,zip_derived_cl172,zip_derived_cl169,zip_derived_cl74]) ).
thf(zip_derived_cl12_035,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('9',plain,
( ( ( h @ e10 )
!= e24 )
| ( ( h @ e11 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3206,zip_derived_cl12]) ).
thf(zip_derived_cl168_036,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl592_037,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl589]) ).
thf(zip_derived_cl845,plain,
( ( ( h @ e13 )
= ( op2 @ e23 @ e22 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl592]) ).
thf(zip_derived_cl77_038,plain,
( ( op2 @ e23 @ e22 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl852,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl845,zip_derived_cl77]) ).
thf(zip_derived_cl615_039,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl2960,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl852,zip_derived_cl615]) ).
thf(zip_derived_cl172_040,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl168_041,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl78,plain,
( ( op2 @ e23 @ e21 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2985,plain,
( ( e22 = e20 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2960,zip_derived_cl172,zip_derived_cl168,zip_derived_cl78]) ).
thf(zip_derived_cl18,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('10',plain,
( ( ( h @ e11 )
!= e22 )
| ( ( h @ e10 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2985,zip_derived_cl18]) ).
thf(zip_derived_cl103,plain,
( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl209,plain,
( ( ( j @ e23 )
= e14 )
<= ( ( j @ e23 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl158,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3568,plain,
( ( ( h @ e14 )
= e23 )
<= ( ( j @ e23 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl209,zip_derived_cl158]) ).
thf(zip_derived_cl99,plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( h @ e14 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3864,plain,
( ( e23 = e22 )
<= ( ( ( h @ e14 )
= e22 )
& ( ( j @ e23 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3568,zip_derived_cl187]) ).
thf(zip_derived_cl12_042,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('11',plain,
( ( ( j @ e23 )
!= e14 )
| ( ( h @ e14 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3864,zip_derived_cl12]) ).
thf(zip_derived_cl204,plain,
( ( ( j @ e22 )
= e14 )
<= ( ( j @ e22 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl157,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3323,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( j @ e22 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl157]) ).
thf(zip_derived_cl189,plain,
( ( ( h @ e14 )
= e24 )
<= ( ( h @ e14 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3572,plain,
( ( e22 = e24 )
<= ( ( ( h @ e14 )
= e24 )
& ( ( j @ e22 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3323,zip_derived_cl189]) ).
thf(zip_derived_cl11_043,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('12',plain,
( ( ( h @ e14 )
!= e24 )
| ( ( j @ e22 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3572,zip_derived_cl11]) ).
thf(zip_derived_cl3323_044,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( j @ e22 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl157]) ).
thf(zip_derived_cl188,plain,
( ( ( h @ e14 )
= e23 )
<= ( ( h @ e14 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3571,plain,
( ( e22 = e23 )
<= ( ( ( h @ e14 )
= e23 )
& ( ( j @ e22 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3323,zip_derived_cl188]) ).
thf(zip_derived_cl12_045,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('13',plain,
( ( ( h @ e14 )
!= e23 )
| ( ( j @ e22 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3571,zip_derived_cl12]) ).
thf(zip_derived_cl3323_046,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( j @ e22 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl157]) ).
thf(zip_derived_cl185,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( h @ e14 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3569,plain,
( ( e22 = e20 )
<= ( ( ( h @ e14 )
= e20 )
& ( ( j @ e22 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3323,zip_derived_cl185]) ).
thf(zip_derived_cl18_047,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('14',plain,
( ( ( j @ e22 )
!= e14 )
| ( ( h @ e14 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3569,zip_derived_cl18]) ).
thf(zip_derived_cl207,plain,
( ( ( j @ e23 )
= e12 )
<= ( ( j @ e23 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl158_048,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3566,plain,
( ( ( h @ e12 )
= e23 )
<= ( ( j @ e23 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl158]) ).
thf(zip_derived_cl100,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
( ( ( j @ e20 )
= e12 )
<= ( ( j @ e20 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl155,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl533,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( j @ e20 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl155]) ).
thf(zip_derived_cl3771,plain,
( ( e23 = e20 )
<= ( ( ( j @ e20 )
= e12 )
& ( ( j @ e23 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3566,zip_derived_cl533]) ).
thf(zip_derived_cl17,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('15',plain,
( ( ( j @ e20 )
!= e12 )
| ( ( j @ e23 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3771,zip_derived_cl17]) ).
thf(zip_derived_cl202_049,plain,
( ( ( j @ e22 )
= e12 )
<= ( ( j @ e22 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl157_050,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3321,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( j @ e22 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl157]) ).
thf(zip_derived_cl533_051,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( j @ e20 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl155]) ).
thf(zip_derived_cl3484,plain,
( ( e22 = e20 )
<= ( ( ( j @ e20 )
= e12 )
& ( ( j @ e22 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3321,zip_derived_cl533]) ).
thf(zip_derived_cl18_052,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('16',plain,
( ( ( j @ e20 )
!= e12 )
| ( ( j @ e22 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3484,zip_derived_cl18]) ).
thf('17',plain,
( ( ( j @ e20 )
= e14 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl3323_053,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( j @ e22 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl157]) ).
thf(zip_derived_cl186,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( h @ e14 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3570,plain,
( ( e22 = e21 )
<= ( ( ( h @ e14 )
= e21 )
& ( ( j @ e22 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3323,zip_derived_cl186]) ).
thf(zip_derived_cl15,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('18',plain,
( ( ( j @ e22 )
!= e14 )
| ( ( h @ e14 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3570,zip_derived_cl15]) ).
thf(zip_derived_cl101,plain,
( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
( ( ( j @ e21 )
= e14 )
<= ( ( j @ e21 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl632,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).
thf(zip_derived_cl188_054,plain,
( ( ( h @ e14 )
= e23 )
<= ( ( h @ e14 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl697,plain,
( ( e21 = e23 )
<= ( ( ( h @ e14 )
= e23 )
& ( ( j @ e21 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl188]) ).
thf(zip_derived_cl14,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('19',plain,
( ( ( h @ e14 )
!= e23 )
| ( ( j @ e21 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl697,zip_derived_cl14]) ).
thf(zip_derived_cl632_055,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).
thf(zip_derived_cl187_056,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( h @ e14 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl696,plain,
( ( e21 = e22 )
<= ( ( ( h @ e14 )
= e22 )
& ( ( j @ e21 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl187]) ).
thf(zip_derived_cl15_057,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('20',plain,
( ( ( h @ e14 )
!= e22 )
| ( ( j @ e21 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl696,zip_derived_cl15]) ).
thf(zip_derived_cl632_058,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).
thf(zip_derived_cl185_059,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( h @ e14 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl695,plain,
( ( e21 = e20 )
<= ( ( ( h @ e14 )
= e20 )
& ( ( j @ e21 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl185]) ).
thf(zip_derived_cl19,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('21',plain,
( ( ( j @ e21 )
!= e14 )
| ( ( h @ e14 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl695,zip_derived_cl19]) ).
thf(zip_derived_cl632_060,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( j @ e21 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl199,zip_derived_cl156]) ).
thf(zip_derived_cl189_061,plain,
( ( ( h @ e14 )
= e24 )
<= ( ( h @ e14 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl698,plain,
( ( e21 = e24 )
<= ( ( ( h @ e14 )
= e24 )
& ( ( j @ e21 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl632,zip_derived_cl189]) ).
thf(zip_derived_cl13_062,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('22',plain,
( ( ( h @ e14 )
!= e24 )
| ( ( j @ e21 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl698,zip_derived_cl13]) ).
thf('23',plain,
( ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e14 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl200_063,plain,
( ( ( j @ e22 )
= e10 )
<= ( ( j @ e22 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl157_064,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3319,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( j @ e22 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl157]) ).
thf(zip_derived_cl165_065,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl3324,plain,
( ( e22 = e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( j @ e22 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3319,zip_derived_cl165]) ).
thf(zip_derived_cl18_066,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('24',plain,
( ( ( j @ e22 )
!= e10 )
| ( ( h @ e10 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3324,zip_derived_cl18]) ).
thf(zip_derived_cl203_067,plain,
( ( ( j @ e22 )
= e13 )
<= ( ( j @ e22 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl157_068,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3322,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( j @ e22 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl157]) ).
thf(zip_derived_cl165_069,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl170,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl589_070,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).
thf(zip_derived_cl590,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl589]) ).
thf(zip_derived_cl721,plain,
( ( ( h @ e13 )
= ( op2 @ e20 @ e20 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl590]) ).
thf(zip_derived_cl94,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl728,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl721,zip_derived_cl94]) ).
thf(zip_derived_cl3534,plain,
( ( e22 = e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 )
& ( ( j @ e22 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3322,zip_derived_cl728]) ).
thf(zip_derived_cl18_071,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('25',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e10 )
!= e20 )
| ( ( j @ e22 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3534,zip_derived_cl18]) ).
thf(zip_derived_cl3321_072,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( j @ e22 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl157]) ).
thf(zip_derived_cl728_073,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl721,zip_derived_cl94]) ).
thf(zip_derived_cl113,plain,
( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
( ( op1 @ e11 @ e13 )
= e12 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl791,plain,
( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl61]) ).
thf(zip_derived_cl799,plain,
( ( ( h @ e12 )
= ( op2 @ ( h @ e11 ) @ e20 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl791]) ).
thf(zip_derived_cl170_074,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl94_075,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl807,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl170,zip_derived_cl94]) ).
thf(zip_derived_cl3496,plain,
( ( e22 = e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 )
& ( ( j @ e22 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3321,zip_derived_cl807]) ).
thf(zip_derived_cl18_076,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('26',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e10 )
!= e20 )
| ( ( j @ e22 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3496,zip_derived_cl18]) ).
thf(zip_derived_cl807_077,plain,
( ( ( h @ e12 )
= e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl799,zip_derived_cl170,zip_derived_cl94]) ).
thf(zip_derived_cl197,plain,
( ( ( j @ e21 )
= e12 )
<= ( ( j @ e21 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_078,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl630,plain,
( ( ( h @ e12 )
= e21 )
<= ( ( j @ e21 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl156]) ).
thf(zip_derived_cl1969,plain,
( ( e20 = e21 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl807,zip_derived_cl630]) ).
thf(zip_derived_cl19_079,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('27',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( j @ e21 )
!= e12 )
| ( ( h @ e10 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1969,zip_derived_cl19]) ).
thf(zip_derived_cl728_080,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl721,zip_derived_cl94]) ).
thf(zip_derived_cl198,plain,
( ( ( j @ e21 )
= e13 )
<= ( ( j @ e21 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_081,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl631,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( j @ e21 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl156]) ).
thf(zip_derived_cl784,plain,
( ( e20 = e21 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl728,zip_derived_cl631]) ).
thf(zip_derived_cl19_082,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('28',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( j @ e21 )
!= e13 )
| ( ( h @ e10 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl784,zip_derived_cl19]) ).
thf(zip_derived_cl201_083,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( j @ e22 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl157_084,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3320,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl157]) ).
thf(zip_derived_cl170_085,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl3416,plain,
( ( e22 = e20 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e22 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3320,zip_derived_cl170]) ).
thf(zip_derived_cl18_086,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('29',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( j @ e22 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3416,zip_derived_cl18]) ).
thf(zip_derived_cl195,plain,
( ( ( j @ e21 )
= e10 )
<= ( ( j @ e21 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_087,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl628,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl156]) ).
thf(zip_derived_cl590_088,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl589]) ).
thf(zip_derived_cl727,plain,
( ( ( h @ e13 )
= ( op2 @ e21 @ e20 ) )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl628,zip_derived_cl590]) ).
thf(zip_derived_cl89,plain,
( ( op2 @ e21 @ e20 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl734,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl727,zip_derived_cl89]) ).
thf(zip_derived_cl615_089,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1184,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl734,zip_derived_cl615]) ).
thf(zip_derived_cl170_090,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl628_091,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( j @ e21 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl195,zip_derived_cl156]) ).
thf(zip_derived_cl87_092,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1196,plain,
( ( e20 = e23 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1184,zip_derived_cl170,zip_derived_cl628,zip_derived_cl87]) ).
thf(zip_derived_cl17_093,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('30',plain,
( ( ( j @ e21 )
!= e10 )
| ( ( h @ e11 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1196,zip_derived_cl17]) ).
thf(zip_derived_cl168_094,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl590_095,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl589]) ).
thf(zip_derived_cl724,plain,
( ( ( h @ e13 )
= ( op2 @ e23 @ e20 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl590]) ).
thf(zip_derived_cl79,plain,
( ( op2 @ e23 @ e20 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl731,plain,
( ( ( h @ e13 )
= e24 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl724,zip_derived_cl79]) ).
thf(zip_derived_cl615_096,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1034,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl615]) ).
thf(zip_derived_cl170_097,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl168_098,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl75_099,plain,
( ( op2 @ e23 @ e24 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1043,plain,
( ( e20 = e22 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl170,zip_derived_cl168,zip_derived_cl75]) ).
thf(zip_derived_cl18_100,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('31',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e10 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1043,zip_derived_cl18]) ).
thf(zip_derived_cl166_101,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl590_102,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl589]) ).
thf(zip_derived_cl722,plain,
( ( ( h @ e13 )
= ( op2 @ e21 @ e20 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl590]) ).
thf(zip_derived_cl89_103,plain,
( ( op2 @ e21 @ e20 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl729,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl89]) ).
thf(zip_derived_cl615_104,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl813,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl615]) ).
thf(zip_derived_cl170_105,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl166_106,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl87_107,plain,
( ( op2 @ e21 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl822,plain,
( ( e20 = e23 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl813,zip_derived_cl170,zip_derived_cl166,zip_derived_cl87]) ).
thf(zip_derived_cl17_108,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('32',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e10 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl822,zip_derived_cl17]) ).
thf(zip_derived_cl167_109,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl590_110,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl589]) ).
thf(zip_derived_cl723,plain,
( ( ( h @ e13 )
= ( op2 @ e22 @ e20 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl590]) ).
thf(zip_derived_cl84,plain,
( ( op2 @ e22 @ e20 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl730,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl723,zip_derived_cl84]) ).
thf(zip_derived_cl615_111,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl946,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl730,zip_derived_cl615]) ).
thf(zip_derived_cl170_112,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl167_113,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl83,plain,
( ( op2 @ e22 @ e21 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl954,plain,
( ( e20 = e24 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl946,zip_derived_cl170,zip_derived_cl167,zip_derived_cl83]) ).
thf(zip_derived_cl16,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('33',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e10 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl954,zip_derived_cl16]) ).
thf(zip_derived_cl169_114,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl590_115,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( h @ e11 )
= e20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl589]) ).
thf(zip_derived_cl725,plain,
( ( ( h @ e13 )
= ( op2 @ e24 @ e20 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl590]) ).
thf(zip_derived_cl74_116,plain,
( ( op2 @ e24 @ e20 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl732,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl725,zip_derived_cl74]) ).
thf(zip_derived_cl615_117,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1084,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e20 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl732,zip_derived_cl615]) ).
thf(zip_derived_cl170_118,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl169_119,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl71_120,plain,
( ( op2 @ e24 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1094,plain,
( ( e20 = e21 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1084,zip_derived_cl170,zip_derived_cl169,zip_derived_cl71]) ).
thf(zip_derived_cl19_121,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('34',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e10 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1094,zip_derived_cl19]) ).
thf(zip_derived_cl196,plain,
( ( ( j @ e21 )
= e11 )
<= ( ( j @ e21 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl156_122,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl629,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( j @ e21 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl156]) ).
thf(zip_derived_cl170_123,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( h @ e11 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl662,plain,
( ( e21 = e20 )
<= ( ( ( h @ e11 )
= e20 )
& ( ( j @ e21 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl629,zip_derived_cl170]) ).
thf(zip_derived_cl19_124,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('35',plain,
( ( ( h @ e11 )
!= e20 )
| ( ( j @ e21 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl662,zip_derived_cl19]) ).
thf(zip_derived_cl191,plain,
( ( ( j @ e20 )
= e11 )
<= ( ( j @ e20 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl155_125,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( j @ e20 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).
thf(zip_derived_cl174_126,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl560,plain,
( ( e20 = e24 )
<= ( ( ( h @ e11 )
= e24 )
& ( ( j @ e20 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl174]) ).
thf(zip_derived_cl16_127,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('36',plain,
( ( ( j @ e20 )
!= e11 )
| ( ( h @ e11 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl560,zip_derived_cl16]) ).
thf(zip_derived_cl532_128,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( j @ e20 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).
thf(zip_derived_cl173_129,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl559,plain,
( ( e20 = e23 )
<= ( ( ( h @ e11 )
= e23 )
& ( ( j @ e20 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl173]) ).
thf(zip_derived_cl17_130,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('37',plain,
( ( ( j @ e20 )
!= e11 )
| ( ( h @ e11 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl559,zip_derived_cl17]) ).
thf(zip_derived_cl532_131,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( j @ e20 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).
thf(zip_derived_cl172_132,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl558,plain,
( ( e20 = e22 )
<= ( ( ( h @ e11 )
= e22 )
& ( ( j @ e20 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl172]) ).
thf(zip_derived_cl18_133,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('38',plain,
( ( ( j @ e20 )
!= e11 )
| ( ( h @ e11 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl558,zip_derived_cl18]) ).
thf(zip_derived_cl532_134,plain,
( ( ( h @ e11 )
= e20 )
<= ( ( j @ e20 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl191,zip_derived_cl155]) ).
thf(zip_derived_cl171,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl557,plain,
( ( e20 = e21 )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e20 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl532,zip_derived_cl171]) ).
thf(zip_derived_cl19_135,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('39',plain,
( ( ( j @ e20 )
!= e11 )
| ( ( h @ e11 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl557,zip_derived_cl19]) ).
thf(zip_derived_cl3566_136,plain,
( ( ( h @ e12 )
= e23 )
<= ( ( j @ e23 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl207,zip_derived_cl158]) ).
thf(zip_derived_cl3321_137,plain,
( ( ( h @ e12 )
= e22 )
<= ( ( j @ e22 )
= e12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl157]) ).
thf(zip_derived_cl3792,plain,
( ( e23 = e22 )
<= ( ( ( j @ e22 )
= e12 )
& ( ( j @ e23 )
= e12 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3566,zip_derived_cl3321]) ).
thf(zip_derived_cl12_138,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('40',plain,
( ( ( j @ e23 )
!= e12 )
| ( ( j @ e22 )
!= e12 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3792,zip_derived_cl12]) ).
thf(zip_derived_cl3568_139,plain,
( ( ( h @ e14 )
= e23 )
<= ( ( j @ e23 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl209,zip_derived_cl158]) ).
thf(zip_derived_cl185_140,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( h @ e14 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3862,plain,
( ( e23 = e20 )
<= ( ( ( h @ e14 )
= e20 )
& ( ( j @ e23 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3568,zip_derived_cl185]) ).
thf(zip_derived_cl17_141,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('41',plain,
( ( ( j @ e23 )
!= e14 )
| ( ( h @ e14 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3862,zip_derived_cl17]) ).
thf('42',plain,
( ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl3323_142,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( j @ e22 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl157]) ).
thf(zip_derived_cl194,plain,
( ( ( j @ e20 )
= e14 )
<= ( ( j @ e20 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl155_143,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( j @ e20 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).
thf(zip_derived_cl3573,plain,
( ( e22 = e20 )
<= ( ( ( j @ e20 )
= e14 )
& ( ( j @ e22 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3323,zip_derived_cl535]) ).
thf(zip_derived_cl18_144,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('43',plain,
( ( ( j @ e22 )
!= e14 )
| ( ( j @ e20 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3573,zip_derived_cl18]) ).
thf(zip_derived_cl535_145,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( j @ e20 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).
thf(zip_derived_cl189_146,plain,
( ( ( h @ e14 )
= e24 )
<= ( ( h @ e14 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl584,plain,
( ( e20 = e24 )
<= ( ( ( h @ e14 )
= e24 )
& ( ( j @ e20 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl189]) ).
thf(zip_derived_cl16_147,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('44',plain,
( ( ( h @ e14 )
!= e24 )
| ( ( j @ e20 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl584,zip_derived_cl16]) ).
thf(zip_derived_cl535_148,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( j @ e20 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).
thf(zip_derived_cl188_149,plain,
( ( ( h @ e14 )
= e23 )
<= ( ( h @ e14 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl583,plain,
( ( e20 = e23 )
<= ( ( ( h @ e14 )
= e23 )
& ( ( j @ e20 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl188]) ).
thf(zip_derived_cl17_150,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('45',plain,
( ( ( h @ e14 )
!= e23 )
| ( ( j @ e20 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl583,zip_derived_cl17]) ).
thf(zip_derived_cl535_151,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( j @ e20 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).
thf(zip_derived_cl187_152,plain,
( ( ( h @ e14 )
= e22 )
<= ( ( h @ e14 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl582,plain,
( ( e20 = e22 )
<= ( ( ( h @ e14 )
= e22 )
& ( ( j @ e20 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl187]) ).
thf(zip_derived_cl18_153,plain,
e20 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('46',plain,
( ( ( h @ e14 )
!= e22 )
| ( ( j @ e20 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl582,zip_derived_cl18]) ).
thf(zip_derived_cl535_154,plain,
( ( ( h @ e14 )
= e20 )
<= ( ( j @ e20 )
= e14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl155]) ).
thf(zip_derived_cl186_155,plain,
( ( ( h @ e14 )
= e21 )
<= ( ( h @ e14 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl581,plain,
( ( e20 = e21 )
<= ( ( ( h @ e14 )
= e21 )
& ( ( j @ e20 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl186]) ).
thf(zip_derived_cl19_156,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('47',plain,
( ( ( h @ e14 )
!= e21 )
| ( ( j @ e20 )
!= e14 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl581,zip_derived_cl19]) ).
thf('48',plain,
( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl205,plain,
( ( ( j @ e23 )
= e10 )
<= ( ( j @ e23 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl158_157,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3564,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( j @ e23 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl158]) ).
thf(zip_derived_cl166_158,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl3608,plain,
( ( e23 = e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( j @ e23 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3564,zip_derived_cl166]) ).
thf(zip_derived_cl14_159,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('49',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( j @ e23 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3608,zip_derived_cl14]) ).
thf(zip_derived_cl3319_160,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( j @ e22 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl157]) ).
thf(zip_derived_cl166_161,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl3325,plain,
( ( e22 = e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( j @ e22 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3319,zip_derived_cl166]) ).
thf(zip_derived_cl15_162,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('50',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( j @ e22 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3325,zip_derived_cl15]) ).
thf(zip_derived_cl3322_163,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( j @ e22 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl157]) ).
thf(zip_derived_cl166_164,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl171_165,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl589_166,plain,
( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl68]) ).
thf(zip_derived_cl591,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl589]) ).
thf(zip_derived_cl736,plain,
( ( ( h @ e13 )
= ( op2 @ e21 @ e21 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl591]) ).
thf(zip_derived_cl88,plain,
( ( op2 @ e21 @ e21 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl743,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl736,zip_derived_cl88]) ).
thf(zip_derived_cl3536,plain,
( ( e22 = e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 )
& ( ( j @ e22 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3322,zip_derived_cl743]) ).
thf(zip_derived_cl15_167,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('51',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( j @ e22 )
!= e13 )
| ( ( h @ e11 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3536,zip_derived_cl15]) ).
thf(zip_derived_cl208,plain,
( ( ( j @ e23 )
= e13 )
<= ( ( j @ e23 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl158_168,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3567,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( j @ e23 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl208,zip_derived_cl158]) ).
thf(zip_derived_cl743_169,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl736,zip_derived_cl88]) ).
thf(zip_derived_cl3830,plain,
( ( e23 = e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 )
& ( ( j @ e23 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3567,zip_derived_cl743]) ).
thf(zip_derived_cl14_170,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('52',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( h @ e11 )
!= e21 )
| ( ( j @ e23 )
!= e13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3830,zip_derived_cl14]) ).
thf(zip_derived_cl743_171,plain,
( ( ( h @ e13 )
= e21 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl736,zip_derived_cl88]) ).
thf(zip_derived_cl193,plain,
( ( ( j @ e20 )
= e13 )
<= ( ( j @ e20 )
= e13 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl155_172,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl534,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( j @ e20 )
= e13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl155]) ).
thf(zip_derived_cl1415,plain,
( ( e21 = e20 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e21 )
& ( ( j @ e20 )
= e13 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl743,zip_derived_cl534]) ).
thf(zip_derived_cl19_173,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('53',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( j @ e20 )
!= e13 )
| ( ( h @ e11 )
!= e21 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1415,zip_derived_cl19]) ).
thf(zip_derived_cl206,plain,
( ( ( j @ e23 )
= e11 )
<= ( ( j @ e23 )
= e11 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl158_174,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3565,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( j @ e23 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl206,zip_derived_cl158]) ).
thf(zip_derived_cl171_175,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl3702,plain,
( ( e23 = e21 )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e23 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3565,zip_derived_cl171]) ).
thf(zip_derived_cl14_176,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('54',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( j @ e23 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3702,zip_derived_cl14]) ).
thf(zip_derived_cl167_177,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl591_178,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl589]) ).
thf(zip_derived_cl737,plain,
( ( ( h @ e13 )
= ( op2 @ e22 @ e21 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl591]) ).
thf(zip_derived_cl83_179,plain,
( ( op2 @ e22 @ e21 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl744,plain,
( ( ( h @ e13 )
= e24 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl737,zip_derived_cl83]) ).
thf(zip_derived_cl615_180,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1479,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl744,zip_derived_cl615]) ).
thf(zip_derived_cl171_181,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl167_182,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl80,plain,
( ( op2 @ e22 @ e24 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1497,plain,
( ( e21 = e23 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1479,zip_derived_cl171,zip_derived_cl167,zip_derived_cl80]) ).
thf(zip_derived_cl14_183,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('55',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( h @ e10 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1497,zip_derived_cl14]) ).
thf(zip_derived_cl165_184,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl591_185,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl589]) ).
thf(zip_derived_cl735,plain,
( ( ( h @ e13 )
= ( op2 @ e20 @ e21 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl591]) ).
thf(zip_derived_cl93_186,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl742,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl735,zip_derived_cl93]) ).
thf(zip_derived_cl615_187,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1367,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl742,zip_derived_cl615]) ).
thf(zip_derived_cl171_188,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl165_189,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl91_190,plain,
( ( op2 @ e20 @ e23 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1381,plain,
( ( e21 = e22 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1367,zip_derived_cl171,zip_derived_cl165,zip_derived_cl91]) ).
thf(zip_derived_cl15_191,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('56',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( h @ e10 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1381,zip_derived_cl15]) ).
thf(zip_derived_cl168_192,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl591_193,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl589]) ).
thf(zip_derived_cl738,plain,
( ( ( h @ e13 )
= ( op2 @ e23 @ e21 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl591]) ).
thf(zip_derived_cl78_194,plain,
( ( op2 @ e23 @ e21 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl745,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl738,zip_derived_cl78]) ).
thf(zip_derived_cl615_195,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1570,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl745,zip_derived_cl615]) ).
thf(zip_derived_cl171_196,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl168_197,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl79_198,plain,
( ( op2 @ e23 @ e20 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1585,plain,
( ( e21 = e24 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1570,zip_derived_cl171,zip_derived_cl168,zip_derived_cl79]) ).
thf(zip_derived_cl13_199,plain,
e21 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('57',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( h @ e10 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1585,zip_derived_cl13]) ).
thf(zip_derived_cl169_200,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl591_201,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl589]) ).
thf(zip_derived_cl739,plain,
( ( ( h @ e13 )
= ( op2 @ e24 @ e21 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl591]) ).
thf(zip_derived_cl73_202,plain,
( ( op2 @ e24 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl746,plain,
( ( ( h @ e13 )
= e22 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl739,zip_derived_cl73]) ).
thf(zip_derived_cl615_203,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1773,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl746,zip_derived_cl615]) ).
thf(zip_derived_cl171_204,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl169_205,plain,
( ( ( h @ e10 )
= e24 )
<= ( ( h @ e10 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl72_206,plain,
( ( op2 @ e24 @ e22 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1794,plain,
( ( e21 = e20 )
<= ( ( ( h @ e10 )
= e24 )
& ( ( h @ e11 )
= e21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1773,zip_derived_cl171,zip_derived_cl169,zip_derived_cl72]) ).
thf(zip_derived_cl19_207,plain,
e20 != e21,
inference(cnf,[status(esa)],[ax2]) ).
thf('58',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( h @ e10 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1794,zip_derived_cl19]) ).
thf(zip_derived_cl190,plain,
( ( ( j @ e20 )
= e10 )
<= ( ( j @ e20 )
= e10 ) ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl155_208,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl531,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( j @ e20 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl155]) ).
thf(zip_derived_cl591_209,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e21 ) )
<= ( ( h @ e11 )
= e21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl589]) ).
thf(zip_derived_cl740,plain,
( ( ( h @ e13 )
= ( op2 @ e20 @ e21 ) )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e20 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl531,zip_derived_cl591]) ).
thf(zip_derived_cl93_210,plain,
( ( op2 @ e20 @ e21 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl747,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e20 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl740,zip_derived_cl93]) ).
thf(zip_derived_cl615_211,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl1852,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e20 )
= e10 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl747,zip_derived_cl615]) ).
thf(zip_derived_cl171_212,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl531_213,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( j @ e20 )
= e10 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl155]) ).
thf(zip_derived_cl91_214,plain,
( ( op2 @ e20 @ e23 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl1873,plain,
( ( e21 = e22 )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e20 )
= e10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1852,zip_derived_cl171,zip_derived_cl531,zip_derived_cl91]) ).
thf(zip_derived_cl15_215,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('59',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( j @ e20 )
!= e10 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1873,zip_derived_cl15]) ).
thf(zip_derived_cl3320_216,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl157]) ).
thf(zip_derived_cl171_217,plain,
( ( ( h @ e11 )
= e21 )
<= ( ( h @ e11 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl3417,plain,
( ( e22 = e21 )
<= ( ( ( h @ e11 )
= e21 )
& ( ( j @ e22 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3320,zip_derived_cl171]) ).
thf(zip_derived_cl15_218,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('60',plain,
( ( ( h @ e11 )
!= e21 )
| ( ( j @ e22 )
!= e11 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3417,zip_derived_cl15]) ).
thf('61',plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 )
| ( ( h @ e14 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl3320_219,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl157]) ).
thf(zip_derived_cl174_220,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl3419,plain,
( ( e22 = e24 )
<= ( ( ( h @ e11 )
= e24 )
& ( ( j @ e22 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3320,zip_derived_cl174]) ).
thf(zip_derived_cl11_221,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('62',plain,
( ( ( j @ e22 )
!= e11 )
| ( ( h @ e11 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3419,zip_derived_cl11]) ).
thf(zip_derived_cl3320_222,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( j @ e22 )
= e11 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl157]) ).
thf(zip_derived_cl173_223,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl3418,plain,
( ( e22 = e23 )
<= ( ( ( h @ e11 )
= e23 )
& ( ( j @ e22 )
= e11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3320,zip_derived_cl173]) ).
thf(zip_derived_cl12_224,plain,
e22 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('63',plain,
( ( ( j @ e22 )
!= e11 )
| ( ( h @ e11 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3418,zip_derived_cl12]) ).
thf(zip_derived_cl165_225,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl592_226,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e22 ) )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl589]) ).
thf(zip_derived_cl842,plain,
( ( ( h @ e13 )
= ( op2 @ e20 @ e22 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl165,zip_derived_cl592]) ).
thf(zip_derived_cl92_227,plain,
( ( op2 @ e20 @ e22 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl849,plain,
( ( ( h @ e13 )
= e24 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl842,zip_derived_cl92]) ).
thf(zip_derived_cl615_228,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl2179,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e22 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl849,zip_derived_cl615]) ).
thf(zip_derived_cl172_229,plain,
( ( ( h @ e11 )
= e22 )
<= ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl165_230,plain,
( ( ( h @ e10 )
= e20 )
<= ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl90_231,plain,
( ( op2 @ e20 @ e24 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl2205,plain,
( ( e22 = e21 )
<= ( ( ( h @ e10 )
= e20 )
& ( ( h @ e11 )
= e22 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2179,zip_derived_cl172,zip_derived_cl165,zip_derived_cl90]) ).
thf(zip_derived_cl15_232,plain,
e21 != e22,
inference(cnf,[status(esa)],[ax2]) ).
thf('64',plain,
( ( ( h @ e11 )
!= e22 )
| ( ( h @ e10 )
!= e20 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2205,zip_derived_cl15]) ).
thf(zip_derived_cl4233_233,plain,
( ( ( j @ e22 )
= e11 )
<= ( ( h @ e11 )
= e22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl161]) ).
thf(zip_derived_cl204_234,plain,
( ( ( j @ e22 )
= e14 )
<= ( ( j @ e22 )
= e14 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl4414,plain,
( ( e11 = e14 )
<= ( ( ( h @ e11 )
= e22 )
& ( ( j @ e22 )
= e14 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4233,zip_derived_cl204]) ).
thf(zip_derived_cl3,plain,
e11 != e14,
inference(cnf,[status(esa)],[ax1]) ).
thf('65',plain,
( ( ( j @ e22 )
!= e14 )
| ( ( h @ e11 )
!= e22 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4414,zip_derived_cl3]) ).
thf(zip_derived_cl167_235,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl594_236,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl589]) ).
thf(zip_derived_cl887,plain,
( ( ( h @ e13 )
= ( op2 @ e22 @ e24 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl594]) ).
thf(zip_derived_cl80_237,plain,
( ( op2 @ e22 @ e24 )
= e23 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl894,plain,
( ( ( h @ e13 )
= e23 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl887,zip_derived_cl80]) ).
thf(zip_derived_cl615_238,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl6528,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl894,zip_derived_cl615]) ).
thf(zip_derived_cl174_239,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl167_240,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl81,plain,
( ( op2 @ e22 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl6567,plain,
( ( e24 = e20 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6528,zip_derived_cl174,zip_derived_cl167,zip_derived_cl81]) ).
thf(zip_derived_cl16_241,plain,
e20 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('66',plain,
( ( ( h @ e10 )
!= e22 )
| ( ( h @ e11 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6567,zip_derived_cl16]) ).
thf(zip_derived_cl167_242,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl593_243,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl589]) ).
thf(zip_derived_cl858,plain,
( ( ( h @ e13 )
= ( op2 @ e22 @ e23 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl593]) ).
thf(zip_derived_cl81_244,plain,
( ( op2 @ e22 @ e23 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl865,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl858,zip_derived_cl81]) ).
thf(zip_derived_cl615_245,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl5593,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl865,zip_derived_cl615]) ).
thf(zip_derived_cl173_246,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl167_247,plain,
( ( ( h @ e10 )
= e22 )
<= ( ( h @ e10 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl84_248,plain,
( ( op2 @ e22 @ e20 )
= e21 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl5628,plain,
( ( e23 = e21 )
<= ( ( ( h @ e10 )
= e22 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5593,zip_derived_cl173,zip_derived_cl167,zip_derived_cl84]) ).
thf(zip_derived_cl14_249,plain,
e21 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('67',plain,
( ( ( h @ e10 )
!= e22 )
| ( ( h @ e11 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5628,zip_derived_cl14]) ).
thf(zip_derived_cl166_250,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl593_251,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e23 ) )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl589]) ).
thf(zip_derived_cl857,plain,
( ( ( h @ e13 )
= ( op2 @ e21 @ e23 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl593]) ).
thf(zip_derived_cl86_252,plain,
( ( op2 @ e21 @ e23 )
= e24 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl864,plain,
( ( ( h @ e13 )
= e24 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl857,zip_derived_cl86]) ).
thf(zip_derived_cl615_253,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl5529,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl864,zip_derived_cl615]) ).
thf(zip_derived_cl173_254,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl166_255,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl85,plain,
( ( op2 @ e21 @ e24 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl5561,plain,
( ( e23 = e20 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e23 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5529,zip_derived_cl173,zip_derived_cl166,zip_derived_cl85]) ).
thf(zip_derived_cl17_256,plain,
e20 != e23,
inference(cnf,[status(esa)],[ax2]) ).
thf('68',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( h @ e11 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5561,zip_derived_cl17]) ).
thf(zip_derived_cl173_257,plain,
( ( ( h @ e11 )
= e23 )
<= ( ( h @ e11 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl161_258,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4234,plain,
( ( ( j @ e23 )
= e11 )
<= ( ( h @ e11 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl173,zip_derived_cl161]) ).
thf(zip_derived_cl168_259,plain,
( ( ( h @ e10 )
= e23 )
<= ( ( h @ e10 )
= e23 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl160_260,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4069,plain,
( ( ( j @ e23 )
= e10 )
<= ( ( h @ e10 )
= e23 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl168,zip_derived_cl160]) ).
thf(zip_derived_cl4446,plain,
( ( e11 = e10 )
<= ( ( ( h @ e10 )
= e23 )
& ( ( h @ e11 )
= e23 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4234,zip_derived_cl4069]) ).
thf(zip_derived_cl9_261,plain,
e10 != e11,
inference(cnf,[status(esa)],[ax1]) ).
thf('69',plain,
( ( ( h @ e11 )
!= e23 )
| ( ( h @ e10 )
!= e23 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4446,zip_derived_cl9]) ).
thf('70',plain,
( ( ( h @ e11 )
= e24 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl166_262,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl594_263,plain,
( ( ( h @ e13 )
= ( op2 @ ( h @ e10 ) @ e24 ) )
<= ( ( h @ e11 )
= e24 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl589]) ).
thf(zip_derived_cl886,plain,
( ( ( h @ e13 )
= ( op2 @ e21 @ e24 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl594]) ).
thf(zip_derived_cl85_264,plain,
( ( op2 @ e21 @ e24 )
= e20 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl893,plain,
( ( ( h @ e13 )
= e20 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl886,zip_derived_cl85]) ).
thf(zip_derived_cl615_265,plain,
( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl66]) ).
thf(zip_derived_cl6374,plain,
( ( ( h @ e11 )
= ( op2 @ ( h @ e10 ) @ e20 ) )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e24 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl893,zip_derived_cl615]) ).
thf(zip_derived_cl174_266,plain,
( ( ( h @ e11 )
= e24 )
<= ( ( h @ e11 )
= e24 ) ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl166_267,plain,
( ( ( h @ e10 )
= e21 )
<= ( ( h @ e10 )
= e21 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl89_268,plain,
( ( op2 @ e21 @ e20 )
= e22 ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl6413,plain,
( ( e24 = e22 )
<= ( ( ( h @ e10 )
= e21 )
& ( ( h @ e11 )
= e24 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6374,zip_derived_cl174,zip_derived_cl166,zip_derived_cl89]) ).
thf(zip_derived_cl11_269,plain,
e22 != e24,
inference(cnf,[status(esa)],[ax2]) ).
thf('71',plain,
( ( ( h @ e10 )
!= e21 )
| ( ( h @ e11 )
!= e24 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6413,zip_derived_cl11]) ).
thf('72',plain,
( ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e24 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e20 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('73',plain,
( ( h @ e10 )
= e23 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72']) ).
thf('74',plain,
( ( h @ e11 )
= e24 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','72','70']) ).
thf(zip_derived_cl11336,plain,
$false,
inference(simpl_trail,[status(thm)],[zip_derived_cl6734,'73','74']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NRVK1Lhg4X true
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 05:14:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.67/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.67/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.67/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.67/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.67/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.67/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.67/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/1.32 % Solved by fo/fo1_av.sh.
% 1.29/1.32 % done 1788 iterations in 0.512s
% 1.29/1.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/1.32 % SZS output start Refutation
% See solution above
% 1.29/1.32
% 1.29/1.32
% 1.29/1.32 % Terminating...
% 1.94/1.46 % Runner terminated.
% 1.97/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------