TSTP Solution File: SYO500^1.003 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO500^1.003 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uvywU94owb true
% Computer : n023.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 : Fri Sep 1 05:51:43 EDT 2023
% Result : Theorem 7.06s 1.51s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 5
% Syntax : Number of formulae : 546 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 5019 ( 0 equ; 0 cnn)
% Maximal formula atoms : 17 ( 9 avg)
% Number of connectives : 5666 (1189 ~;1820 |; 0 &;2655 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(x_type,type,
x: $o ).
thf(f1_type,type,
f1: $o > $o ).
thf(f2_type,type,
f2: $o > $o ).
thf(f0_type,type,
f0: $o > $o ).
thf(kaminski3,conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
<=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
<=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[kaminski3]) ).
thf(zip_derived_cl1,plain,
( ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl310,plain,
( ( f1 @ ( f1 @ ( f2 @ x ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl322,plain,
( x
| ( f1 @ ( f1 @ ( f2 @ $false ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $false ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl357,plain,
( ~ ( f2 @ $false )
| x
| ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl322]) ).
thf(zip_derived_cl452,plain,
( ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl680,plain,
( ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl452]) ).
thf(zip_derived_cl681,plain,
( ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl680]) ).
thf(zip_derived_cl1046,plain,
( ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl681]) ).
thf(zip_derived_cl1048,plain,
( ~ ( f0 @ $true )
| ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1046]) ).
thf(zip_derived_cl1490,plain,
( ~ ( f0 @ $false )
| ( f1 @ $false )
| x
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl1048]) ).
thf(zip_derived_cl308,plain,
( ( f1 @ ( f2 @ x ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl328,plain,
( x
| ( f1 @ ( f2 @ $false ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $false ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl308]) ).
thf(zip_derived_cl371,plain,
( ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl328]) ).
thf(zip_derived_cl497,plain,
( ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl371]) ).
thf(zip_derived_cl498,plain,
( ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl497]) ).
thf(zip_derived_cl0,plain,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $false ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ $false ) ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
( ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
( ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl38,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl39,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl499,plain,
( ~ ( f0 @ ( f0 @ $true ) )
| ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl498,zip_derived_cl39]) ).
thf(zip_derived_cl501,plain,
( ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl499]) ).
thf(zip_derived_cl759,plain,
( ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl501]) ).
thf(zip_derived_cl500,plain,
( ( f0 @ $true )
| ~ ( f0 @ $false )
| ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl499]) ).
thf(zip_derived_cl39_001,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl760,plain,
( ( f2 @ $false )
| x
| ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl500,zip_derived_cl39]) ).
thf(zip_derived_cl2220,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl7,plain,
( ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl13,plain,
( ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl33,plain,
( ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ $true ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl34,plain,
( ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl65,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl99,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl100,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl147,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(local_rewriting,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl101,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl146,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(local_rewriting,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl309,plain,
( ~ ( f1 @ ( f2 @ x ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl327,plain,
( ~ ( f2 @ x )
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl360,plain,
( ~ ( f2 @ x )
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl327]) ).
thf(zip_derived_cl361,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl360]) ).
thf(zip_derived_cl461,plain,
( ( f2 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl361]) ).
thf(zip_derived_cl694,plain,
( ( f2 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl461]) ).
thf(zip_derived_cl462,plain,
( ~ ( f2 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl361]) ).
thf(zip_derived_cl693,plain,
( ~ ( f2 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl362,plain,
( ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl360]) ).
thf(zip_derived_cl459,plain,
( ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl362]) ).
thf(zip_derived_cl3,plain,
( ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $true ) ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ $true ) ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ $true ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl21,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true )
| ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl40,plain,
( ( f0 @ $true )
| ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl20,plain,
( ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ $false )
| ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl41,plain,
( ( f0 @ $true )
| ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl275,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl41]) ).
thf(zip_derived_cl460,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl459,zip_derived_cl275]) ).
thf(zip_derived_cl2202,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false )
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl693,zip_derived_cl460]) ).
thf(zip_derived_cl2592,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl694,zip_derived_cl2202]) ).
thf(zip_derived_cl35,plain,
( ~ ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl61,plain,
( ~ ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl62,plain,
( ~ ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl63,plain,
( ( f0 @ $false )
| ~ ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ $false )
| ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl96,plain,
( ( f0 @ $true )
| x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ ( f1 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl14,plain,
( ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl30,plain,
( ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ $true ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $true ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl32,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl55,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl56,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl57,plain,
( ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ $false )
| ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl89,plain,
( ( f0 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl2202_002,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false )
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl693,zip_derived_cl460]) ).
thf(zip_derived_cl2250,plain,
( ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl89,zip_derived_cl2202]) ).
thf(zip_derived_cl460_003,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl459,zip_derived_cl275]) ).
thf(zip_derived_cl2251,plain,
( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl2250,zip_derived_cl460]) ).
thf(zip_derived_cl2450,plain,
( ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl2251]) ).
thf(zip_derived_cl64,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ $true )
| ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl95,plain,
( ( f0 @ $true )
| x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl58,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ $true )
| ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl88,plain,
( ( f0 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl460_004,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl459,zip_derived_cl275]) ).
thf(zip_derived_cl2051,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl88,zip_derived_cl460]) ).
thf(zip_derived_cl2305,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl2051]) ).
thf(zip_derived_cl2451,plain,
( ( f0 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2450,zip_derived_cl2305]) ).
thf(zip_derived_cl2593,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl3203,plain,
( x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ( f0 @ $false )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl146,zip_derived_cl2593]) ).
thf(zip_derived_cl31,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl59,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl92,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl93,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl141,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(local_rewriting,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl94,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl140,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(local_rewriting,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl2593_005,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl2848,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f0 @ $false )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl2593]) ).
thf(zip_derived_cl311,plain,
( ~ ( f1 @ ( f1 @ ( f2 @ x ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl320,plain,
( ( f1 @ $true )
| ~ ( f1 @ ( f1 @ ( f2 @ x ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl349,plain,
( ~ x
| ( f1 @ $true )
| ~ ( f1 @ ( f1 @ ( f2 @ $true ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $true ) ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl430,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl349]) ).
thf(zip_derived_cl624,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl430]) ).
thf(zip_derived_cl9,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl22,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl44,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl46,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl76,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(local_rewriting,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl45,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl77,plain,
( ( f1 @ $false )
| ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(local_rewriting,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl4,plain,
( ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
( ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl24,plain,
( ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl25,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl49,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl50,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl11,plain,
( ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl27,plain,
( ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl28,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl53,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl54,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl39_006,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl168,plain,
( ( f0 @ $false )
| ( f2 @ $true )
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl39]) ).
thf(zip_derived_cl182,plain,
( ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl168]) ).
thf(zip_derived_cl191,plain,
( ~ x
| ( f1 @ $true )
| ( f0 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl182]) ).
thf(zip_derived_cl250,plain,
( ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl191]) ).
thf(zip_derived_cl625,plain,
( ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl624,zip_derived_cl250]) ).
thf(zip_derived_cl627,plain,
( ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| ~ x
| ~ ( f2 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl625]) ).
thf(zip_derived_cl962,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl627]) ).
thf(zip_derived_cl460_007,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl459,zip_derived_cl275]) ).
thf(zip_derived_cl2343,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl962,zip_derived_cl460]) ).
thf(zip_derived_cl323,plain,
( ~ x
| ( f1 @ ( f1 @ ( f2 @ $true ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $true ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl310]) ).
thf(zip_derived_cl355,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl323]) ).
thf(zip_derived_cl443,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ $true ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl444,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl443]) ).
thf(zip_derived_cl658,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl444]) ).
thf(zip_derived_cl659,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl658]) ).
thf(zip_derived_cl250_008,plain,
( ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl191]) ).
thf(zip_derived_cl660,plain,
( ~ ( f0 @ ( f0 @ $true ) )
| ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl659,zip_derived_cl250]) ).
thf(zip_derived_cl661,plain,
( ( f0 @ $true )
| ~ ( f0 @ $false )
| ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl660]) ).
thf(zip_derived_cl250_009,plain,
( ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl191]) ).
thf(zip_derived_cl1016,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl661,zip_derived_cl250]) ).
thf(zip_derived_cl275_010,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl41]) ).
thf(zip_derived_cl1017,plain,
( ( f0 @ $true )
| ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1016,zip_derived_cl275]) ).
thf(zip_derived_cl626,plain,
( ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| ~ x
| ~ ( f2 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl625]) ).
thf(zip_derived_cl250_011,plain,
( ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl191]) ).
thf(zip_derived_cl963,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl626,zip_derived_cl250]) ).
thf(zip_derived_cl275_012,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl41]) ).
thf(zip_derived_cl964,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl963,zip_derived_cl275]) ).
thf(zip_derived_cl2174,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1017,zip_derived_cl964]) ).
thf(zip_derived_cl2344,plain,
( ~ ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl2343,zip_derived_cl2174]) ).
thf(zip_derived_cl2849,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl2848,zip_derived_cl2344]) ).
thf(zip_derived_cl3081,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl2849]) ).
thf(zip_derived_cl662,plain,
( ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl660]) ).
thf(zip_derived_cl1015,plain,
( ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x
| ( f1 @ $false )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl662]) ).
thf(zip_derived_cl460_013,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl459,zip_derived_cl275]) ).
thf(zip_derived_cl3074,plain,
( ~ ( f0 @ $true )
| ( f1 @ $false )
| ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1015,zip_derived_cl460]) ).
thf(zip_derived_cl2174_014,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1017,zip_derived_cl964]) ).
thf(zip_derived_cl3075,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3074,zip_derived_cl2174]) ).
thf(zip_derived_cl2344_015,plain,
( ~ ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl2343,zip_derived_cl2174]) ).
thf(zip_derived_cl3076,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3082,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3081,zip_derived_cl3076]) ).
thf(zip_derived_cl2251_016,plain,
( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl2250,zip_derived_cl460]) ).
thf(zip_derived_cl3083,plain,
( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3082,zip_derived_cl2251]) ).
thf(zip_derived_cl3204,plain,
( ~ ( f1 @ $false )
| ( f0 @ $false )
| ~ ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl3203,zip_derived_cl3083]) ).
thf(zip_derived_cl3278,plain,
( x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ( f1 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl147,zip_derived_cl3204]) ).
thf(zip_derived_cl3083_017,plain,
( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3082,zip_derived_cl2251]) ).
thf(zip_derived_cl3279,plain,
( ( f0 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl3278,zip_derived_cl3083]) ).
thf(zip_derived_cl2593_018,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl3280,plain,
( x
| ~ ( f2 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3279,zip_derived_cl2593]) ).
thf(zip_derived_cl3291,plain,
( x
| ( f1 @ $false )
| ( f0 @ $false )
| x ),
inference('sup-',[status(thm)],[zip_derived_cl2220,zip_derived_cl3280]) ).
thf(zip_derived_cl3297,plain,
( ( f0 @ $false )
| ( f1 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl3291]) ).
thf(zip_derived_cl306,plain,
( ( f2 @ x )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl333,plain,
( ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl306]) ).
thf(zip_derived_cl383,plain,
( ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl333]) ).
thf(zip_derived_cl513,plain,
( ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl383]) ).
thf(zip_derived_cl514,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl513]) ).
thf(zip_derived_cl777,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl778,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl777]) ).
thf(zip_derived_cl182_019,plain,
( ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl168]) ).
thf(zip_derived_cl779,plain,
( ~ ( f0 @ ( f0 @ $true ) )
| ( f2 @ $true )
| ~ x
| ~ ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl778,zip_derived_cl182]) ).
thf(zip_derived_cl781,plain,
( ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ( f2 @ $true )
| ~ x
| ~ ( f2 @ $false )
| ( f1 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl779]) ).
thf(zip_derived_cl1191,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl781]) ).
thf(zip_derived_cl382,plain,
( ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl333]) ).
thf(zip_derived_cl516,plain,
( ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl382]) ).
thf(zip_derived_cl517,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl516]) ).
thf(zip_derived_cl784,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl517]) ).
thf(zip_derived_cl785,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl784]) ).
thf(zip_derived_cl182_020,plain,
( ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl168]) ).
thf(zip_derived_cl786,plain,
( ~ ( f0 @ ( f0 @ $true ) )
| ( f2 @ $true )
| ~ x
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl785,zip_derived_cl182]) ).
thf(zip_derived_cl788,plain,
( ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ( f2 @ $true )
| ~ x
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl786]) ).
thf(zip_derived_cl1198,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl788]) ).
thf(zip_derived_cl2220_021,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl2991,plain,
( ~ ( f0 @ $true )
| ( f2 @ $true )
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1198,zip_derived_cl2220]) ).
thf(zip_derived_cl305,plain,
( ~ x
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $true ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ $true ) ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl334,plain,
( ( f2 @ $true )
| ~ x
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl305]) ).
thf(zip_derived_cl394,plain,
( ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl544,plain,
( ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ ( f1 @ $false ) ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl394]) ).
thf(zip_derived_cl545,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $false ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl544]) ).
thf(zip_derived_cl836,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ ( f0 @ ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl545]) ).
thf(zip_derived_cl837,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl836]) ).
thf(zip_derived_cl182_022,plain,
( ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl168]) ).
thf(zip_derived_cl838,plain,
( ~ ( f0 @ ( f0 @ $true ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl837,zip_derived_cl182]) ).
thf(zip_derived_cl839,plain,
( ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl838]) ).
thf(zip_derived_cl182_023,plain,
( ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl168]) ).
thf(zip_derived_cl1257,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl839,zip_derived_cl182]) ).
thf(zip_derived_cl2174_024,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1017,zip_derived_cl964]) ).
thf(zip_derived_cl2760,plain,
( ( f0 @ $true )
| ~ x
| ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1257,zip_derived_cl2174]) ).
thf(zip_derived_cl2220_025,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl2761,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2760,zip_derived_cl2220]) ).
thf(zip_derived_cl2992,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2991,zip_derived_cl2761]) ).
thf(zip_derived_cl3180,plain,
( ~ ( f0 @ $true )
| ( f2 @ $true )
| ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1191,zip_derived_cl2992]) ).
thf(zip_derived_cl780,plain,
( ( f0 @ $true )
| ~ ( f0 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f2 @ $false )
| ( f1 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl779]) ).
thf(zip_derived_cl182_026,plain,
( ( f0 @ $false )
| ~ x
| ( f2 @ $true )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl168]) ).
thf(zip_derived_cl1192,plain,
( ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl780,zip_derived_cl182]) ).
thf(zip_derived_cl2761_027,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2760,zip_derived_cl2220]) ).
thf(zip_derived_cl2939,plain,
( ( f0 @ $true )
| ( f2 @ $true )
| ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1192,zip_derived_cl2761]) ).
thf(zip_derived_cl2174_028,plain,
( ~ ( f2 @ $true )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1017,zip_derived_cl964]) ).
thf(zip_derived_cl2940,plain,
( ( f1 @ $false )
| ~ x
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2939,zip_derived_cl2174]) ).
thf(zip_derived_cl3181,plain,
( ( f1 @ $false )
| ~ x
| ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3180,zip_derived_cl2940]) ).
thf(zip_derived_cl3076_029,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3182,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl3308,plain,
( ( f1 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3297,zip_derived_cl3182]) ).
thf(zip_derived_cl348,plain,
( x
| ( f1 @ $true )
| ~ ( f1 @ ( f1 @ ( f2 @ $false ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $false ) ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl432,plain,
( ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl348]) ).
thf(zip_derived_cl630,plain,
( ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $true ) ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl432]) ).
thf(zip_derived_cl631,plain,
( ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl630]) ).
thf(zip_derived_cl973,plain,
( ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl631]) ).
thf(zip_derived_cl974,plain,
( ( f0 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ $false )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl1416,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl974]) ).
thf(zip_derived_cl17,plain,
( ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl36,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl70,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ $false )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl109,plain,
( ( f0 @ ( f1 @ ( f1 @ $true ) ) )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl111,plain,
( ~ ( f1 @ $true )
| ( f0 @ ( f1 @ $true ) )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl150,plain,
( ~ ( f1 @ $true )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl110,plain,
( ( f1 @ $true )
| ( f0 @ ( f1 @ $false ) )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl151,plain,
( ( f1 @ $true )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl3280_030,plain,
( x
| ~ ( f2 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3279,zip_derived_cl2593]) ).
thf(zip_derived_cl3545,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| x
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl151,zip_derived_cl3280]) ).
thf(zip_derived_cl3308_031,plain,
( ( f1 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3297,zip_derived_cl3182]) ).
thf(zip_derived_cl3546,plain,
( ( f1 @ $true )
| x
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3545,zip_derived_cl3308]) ).
thf(zip_derived_cl3820,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl3546]) ).
thf(zip_derived_cl71,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ( f0 @ $true )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl106,plain,
( ( f0 @ ( f1 @ ( f1 @ $true ) ) )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl107,plain,
( ( f1 @ $true )
| ( f0 @ ( f1 @ $false ) )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl149,plain,
( ( f1 @ $true )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl108,plain,
( ~ ( f1 @ $true )
| ( f0 @ ( f1 @ $true ) )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl148,plain,
( ~ ( f1 @ $true )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl2593_032,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl3371,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| x
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl148,zip_derived_cl2593]) ).
thf(zip_derived_cl313,plain,
( ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl314,plain,
( x
| ~ ( f1 @ ( f1 @ ( f1 @ ( f2 @ $false ) ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $false ) ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl313]) ).
thf(zip_derived_cl340,plain,
( ( f2 @ $false )
| x
| ~ ( f1 @ ( f1 @ ( f1 @ $false ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl314]) ).
thf(zip_derived_cl412,plain,
( ( f2 @ $false )
| x
| ~ ( f1 @ ( f1 @ ( f1 @ $false ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ $false ) ) ) )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl414,plain,
( ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ~ ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl412]) ).
thf(zip_derived_cl584,plain,
( ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ~ ( f1 @ ( f1 @ $true ) )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl586,plain,
( ~ ( f1 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl584]) ).
thf(zip_derived_cl904,plain,
( ~ ( f0 @ $true )
| x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ ( f1 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl586]) ).
thf(zip_derived_cl2593_033,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl2912,plain,
( ~ ( f1 @ $true )
| ~ ( f1 @ $false )
| x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl904,zip_derived_cl2593]) ).
thf(zip_derived_cl2220_034,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl2593_035,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl2605,plain,
( x
| ( f1 @ $false )
| ~ ( f1 @ $true )
| x ),
inference('sup-',[status(thm)],[zip_derived_cl2220,zip_derived_cl2593]) ).
thf(zip_derived_cl2614,plain,
( ~ ( f1 @ $true )
| ( f1 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl2605]) ).
thf(zip_derived_cl2913,plain,
( ~ ( f0 @ $true )
| x
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2912,zip_derived_cl2614]) ).
thf(zip_derived_cl3372,plain,
( ~ ( f1 @ $true )
| x
| ~ ( f1 @ $false )
| ~ ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3371,zip_derived_cl2913]) ).
thf(zip_derived_cl2614_036,plain,
( ~ ( f1 @ $true )
| ( f1 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl2605]) ).
thf(zip_derived_cl3373,plain,
( ~ ( f0 @ $false )
| x
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3372,zip_derived_cl2614]) ).
thf(zip_derived_cl3464,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl3373]) ).
thf(zip_derived_cl359,plain,
( ~ ( f1 @ $false )
| x
| ( f1 @ ( f1 @ ( f2 @ $false ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $false ) ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl322]) ).
thf(zip_derived_cl448,plain,
( ( f2 @ $false )
| ~ ( f1 @ $false )
| x
| ( f1 @ ( f1 @ $false ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl671,plain,
( ( f2 @ $false )
| ~ ( f1 @ $false )
| x
| ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl448]) ).
thf(zip_derived_cl2220_037,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl3260,plain,
( ~ ( f0 @ $true )
| ( f1 @ $true )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl671,zip_derived_cl2220]) ).
thf(zip_derived_cl2913_038,plain,
( ~ ( f0 @ $true )
| x
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2912,zip_derived_cl2614]) ).
thf(zip_derived_cl3261,plain,
( ( f2 @ $false )
| x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3260,zip_derived_cl2913]) ).
thf(zip_derived_cl3465,plain,
( x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3464,zip_derived_cl3261]) ).
thf(zip_derived_cl2220_039,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl3466,plain,
( ~ ( f0 @ $false )
| ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl3465,zip_derived_cl2220]) ).
thf(zip_derived_cl3821,plain,
( x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3820,zip_derived_cl3466]) ).
thf(zip_derived_cl2220_040,plain,
( ( f1 @ $false )
| x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl759,zip_derived_cl760]) ).
thf(zip_derived_cl3822,plain,
( ( f0 @ $true )
| ( f2 @ $false )
| x ),
inference(clc,[status(thm)],[zip_derived_cl3821,zip_derived_cl2220]) ).
thf(zip_derived_cl3261_041,plain,
( ( f2 @ $false )
| x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3260,zip_derived_cl2913]) ).
thf(zip_derived_cl3823,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl3280_042,plain,
( x
| ~ ( f2 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3279,zip_derived_cl2593]) ).
thf(zip_derived_cl3831,plain,
( x
| ( f0 @ $false )
| x ),
inference('sup-',[status(thm)],[zip_derived_cl3823,zip_derived_cl3280]) ).
thf(zip_derived_cl3846,plain,
( ( f0 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl3831]) ).
thf(zip_derived_cl4090,plain,
( ( f0 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1416,zip_derived_cl3846]) ).
thf(zip_derived_cl975,plain,
( ~ ( f0 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl973]) ).
thf(zip_derived_cl1415,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl975]) ).
thf(zip_derived_cl3846_043,plain,
( ( f0 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl3831]) ).
thf(zip_derived_cl4047,plain,
( ~ ( f0 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1415,zip_derived_cl3846]) ).
thf(zip_derived_cl632,plain,
( ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl630]) ).
thf(zip_derived_cl970,plain,
( ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl632]) ).
thf(zip_derived_cl971,plain,
( ( f0 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ $false )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl970]) ).
thf(zip_derived_cl1414,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl971]) ).
thf(zip_derived_cl3823_044,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl3083_045,plain,
( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3082,zip_derived_cl2251]) ).
thf(zip_derived_cl3832,plain,
( x
| ( f0 @ $false )
| ~ ( f2 @ $true ) ),
inference('sup-',[status(thm)],[zip_derived_cl3823,zip_derived_cl3083]) ).
thf(zip_derived_cl3076_046,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3867,plain,
( ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl3076]) ).
thf(zip_derived_cl4042,plain,
( ( f0 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1414,zip_derived_cl3867]) ).
thf(zip_derived_cl972,plain,
( ~ ( f0 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl970]) ).
thf(zip_derived_cl1413,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl972]) ).
thf(zip_derived_cl3867_047,plain,
( ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl3076]) ).
thf(zip_derived_cl3896,plain,
( ~ ( f0 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1413,zip_derived_cl3867]) ).
thf(zip_derived_cl3823_048,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl3897,plain,
( ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3896,zip_derived_cl3823]) ).
thf(zip_derived_cl325,plain,
( ~ x
| ~ ( f1 @ ( f2 @ $true ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $true ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl309]) ).
thf(zip_derived_cl365,plain,
( ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl325]) ).
thf(zip_derived_cl471,plain,
( ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl709,plain,
( ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl471]) ).
thf(zip_derived_cl711,plain,
( ~ ( f0 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl709]) ).
thf(zip_derived_cl1078,plain,
( ~ ( f0 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl711]) ).
thf(zip_derived_cl1080,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false )
| ~ ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1078]) ).
thf(zip_derived_cl1518,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1080]) ).
thf(zip_derived_cl354,plain,
( ( f2 @ $true )
| ~ x
| ( f1 @ ( f1 @ $false ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl323]) ).
thf(zip_derived_cl447,plain,
( ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl354]) ).
thf(zip_derived_cl664,plain,
( ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl1018,plain,
( ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl664]) ).
thf(zip_derived_cl3182_049,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl3482,plain,
( ~ ( f0 @ $true )
| ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1018,zip_derived_cl3182]) ).
thf(zip_derived_cl319,plain,
( ~ x
| ~ ( f1 @ ( f1 @ ( f2 @ $true ) ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ $true ) ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl350,plain,
( ( f2 @ $true )
| ~ x
| ~ ( f1 @ ( f1 @ $false ) )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl319]) ).
thf(zip_derived_cl437,plain,
( ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ ( f1 @ $true ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl642,plain,
( ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ $false ) ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl437]) ).
thf(zip_derived_cl644,plain,
( ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl642]) ).
thf(zip_derived_cl985,plain,
( ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl644]) ).
thf(zip_derived_cl3182_050,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl3326,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl985,zip_derived_cl3182]) ).
thf(zip_derived_cl2913_051,plain,
( ~ ( f0 @ $true )
| x
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2912,zip_derived_cl2614]) ).
thf(zip_derived_cl3327,plain,
( ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3326,zip_derived_cl2913]) ).
thf(zip_derived_cl2202_052,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false )
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl693,zip_derived_cl460]) ).
thf(zip_derived_cl3328,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3327,zip_derived_cl2202]) ).
thf(zip_derived_cl3483,plain,
( ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3482,zip_derived_cl3328]) ).
thf(zip_derived_cl3076_053,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3484,plain,
( ~ ( f0 @ $true )
| ~ x
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3483,zip_derived_cl3076]) ).
thf(zip_derived_cl3793,plain,
( ~ ( f1 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ $true )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1518,zip_derived_cl3484]) ).
thf(zip_derived_cl3182_054,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl3794,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl3793,zip_derived_cl3182]) ).
thf(zip_derived_cl3076_055,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3795,plain,
( ~ x
| ~ ( f0 @ $true )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3794,zip_derived_cl3076]) ).
thf(zip_derived_cl2913_056,plain,
( ~ ( f0 @ $true )
| x
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2912,zip_derived_cl2614]) ).
thf(zip_derived_cl3796,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3795,zip_derived_cl2913]) ).
thf(zip_derived_cl3898,plain,
( ~ ( f0 @ $true )
| ~ ( f2 @ $true )
| x
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3897,zip_derived_cl3796]) ).
thf(zip_derived_cl3076_057,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3899,plain,
( ~ ( f1 @ $false )
| ~ ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3898,zip_derived_cl3076]) ).
thf(zip_derived_cl4043,plain,
( ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4042,zip_derived_cl3899]) ).
thf(zip_derived_cl3823_058,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl2051_059,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl88,zip_derived_cl460]) ).
thf(zip_derived_cl3834,plain,
( x
| ( f0 @ $true )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $false ) ),
inference('sup-',[status(thm)],[zip_derived_cl3823,zip_derived_cl2051]) ).
thf(zip_derived_cl3076_060,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3868,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $true )
| ~ ( f2 @ $true )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3834,zip_derived_cl3076]) ).
thf(zip_derived_cl3867_061,plain,
( ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl3076]) ).
thf(zip_derived_cl3869,plain,
( ( f0 @ $true )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3868,zip_derived_cl3867]) ).
thf(zip_derived_cl3796_062,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3795,zip_derived_cl2913]) ).
thf(zip_derived_cl3870,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3869,zip_derived_cl3796]) ).
thf(zip_derived_cl4044,plain,
( ~ ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4043,zip_derived_cl3870]) ).
thf(zip_derived_cl3823_063,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl4045,plain,
( ~ ( f1 @ $false )
| x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4044,zip_derived_cl3823]) ).
thf(zip_derived_cl3076_064,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl4046,plain,
( ~ ( f2 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4045,zip_derived_cl3076]) ).
thf(zip_derived_cl4048,plain,
( ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4047,zip_derived_cl4046]) ).
thf(zip_derived_cl3796_065,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3795,zip_derived_cl2913]) ).
thf(zip_derived_cl4049,plain,
( ~ ( f0 @ $true )
| ~ ( f2 @ $false )
| x
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4048,zip_derived_cl3796]) ).
thf(zip_derived_cl518,plain,
( ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl516]) ).
thf(zip_derived_cl783,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl518]) ).
thf(zip_derived_cl1193,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl783]) ).
thf(zip_derived_cl1194,plain,
( ( f1 @ $true )
| ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| ~ ( f0 @ ( f1 @ $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1193]) ).
thf(zip_derived_cl1643,plain,
( ( f1 @ $true )
| ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ x
| ( f2 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1194]) ).
thf(zip_derived_cl663,plain,
( ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $false ) ) ) ) )
| ~ ( f0 @ $true ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl1019,plain,
( ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl663]) ).
thf(zip_derived_cl3484_066,plain,
( ~ ( f0 @ $true )
| ~ x
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3483,zip_derived_cl3076]) ).
thf(zip_derived_cl3908,plain,
( ~ ( f0 @ $true )
| ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1019,zip_derived_cl3484]) ).
thf(zip_derived_cl3796_067,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3795,zip_derived_cl2913]) ).
thf(zip_derived_cl3909,plain,
( ~ ( f1 @ $false )
| ( f2 @ $true )
| ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3908,zip_derived_cl3796]) ).
thf(zip_derived_cl3182_068,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl3910,plain,
( ~ ( f0 @ $true )
| ~ x
| ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3909,zip_derived_cl3182]) ).
thf(zip_derived_cl3076_069,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3911,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl3926,plain,
( ( f2 @ $true )
| ~ x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl1643,zip_derived_cl3911]) ).
thf(zip_derived_cl3911_070,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl3927,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl3926,zip_derived_cl3911]) ).
thf(zip_derived_cl3911_071,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl3928,plain,
( ~ x
| ( f2 @ $false )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3927,zip_derived_cl3911]) ).
thf(zip_derived_cl3823_072,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl3929,plain,
( ~ ( f0 @ $true )
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3928,zip_derived_cl3823]) ).
thf(zip_derived_cl4050,plain,
( ~ ( f1 @ $false )
| x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4049,zip_derived_cl3929]) ).
thf(zip_derived_cl3911_073,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl4051,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4050,zip_derived_cl3911]) ).
thf(zip_derived_cl4091,plain,
( ~ ( f1 @ $false )
| ( f1 @ $true )
| x
| ~ ( f2 @ $false )
| ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4090,zip_derived_cl4051]) ).
thf(zip_derived_cl2593_074,plain,
( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2592,zip_derived_cl2451]) ).
thf(zip_derived_cl3823_075,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl3836,plain,
( ~ ( f1 @ $true )
| x
| x ),
inference('sup+',[status(thm)],[zip_derived_cl2593,zip_derived_cl3823]) ).
thf(zip_derived_cl3845,plain,
( x
| ~ ( f1 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl3836]) ).
thf(zip_derived_cl4092,plain,
( ( f2 @ $true )
| ~ ( f2 @ $false )
| x
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4091,zip_derived_cl3845]) ).
thf(zip_derived_cl4046_076,plain,
( ~ ( f2 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4045,zip_derived_cl3076]) ).
thf(zip_derived_cl4093,plain,
( ~ ( f1 @ $false )
| x
| ~ ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4092,zip_derived_cl4046]) ).
thf(zip_derived_cl26,plain,
( ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl47,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl81,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $false )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl123,plain,
( ( f0 @ ( f1 @ ( f1 @ $true ) ) )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl125,plain,
( ~ ( f1 @ $true )
| ( f0 @ ( f1 @ $true ) )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl154,plain,
( ~ ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl29,plain,
( ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ ( f0 @ $true ) ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl51,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ ( f0 @ $false ) )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl86,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $false )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl133,plain,
( ( f0 @ ( f1 @ ( f1 @ $true ) ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl134,plain,
( ( f1 @ $true )
| ( f0 @ ( f1 @ $false ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl159,plain,
( ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl3546_077,plain,
( ( f1 @ $true )
| x
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3545,zip_derived_cl3308]) ).
thf(zip_derived_cl3636,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl159,zip_derived_cl3546]) ).
thf(zip_derived_cl3308_078,plain,
( ( f1 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3297,zip_derived_cl3182]) ).
thf(zip_derived_cl3637,plain,
( ( f1 @ $true )
| ( f2 @ $true )
| ( f2 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3636,zip_derived_cl3308]) ).
thf(zip_derived_cl124,plain,
( ( f1 @ $true )
| ( f0 @ ( f1 @ $false ) )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl155,plain,
( ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl3846_079,plain,
( ( f0 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl3831]) ).
thf(zip_derived_cl3986,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl155,zip_derived_cl3846]) ).
thf(zip_derived_cl3308_080,plain,
( ( f1 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3297,zip_derived_cl3182]) ).
thf(zip_derived_cl3987,plain,
( ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3986,zip_derived_cl3308]) ).
thf(zip_derived_cl3867_081,plain,
( ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl3076]) ).
thf(zip_derived_cl3988,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f2 @ $false )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3987,zip_derived_cl3867]) ).
thf(zip_derived_cl3991,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ( f2 @ $true )
| ( f1 @ $true )
| ( f1 @ $true )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference('sup-',[status(thm)],[zip_derived_cl3637,zip_derived_cl3988]) ).
thf(zip_derived_cl4000,plain,
( ( f1 @ $true )
| ( f2 @ $true )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl3991]) ).
thf(zip_derived_cl3867_082,plain,
( ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl3076]) ).
thf(zip_derived_cl4008,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4000,zip_derived_cl3867]) ).
thf(zip_derived_cl4027,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl154,zip_derived_cl4008]) ).
thf(zip_derived_cl82,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $true )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl120,plain,
( ( f0 @ ( f1 @ ( f1 @ $true ) ) )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl121,plain,
( ( f1 @ $true )
| ( f0 @ ( f1 @ $false ) )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl153,plain,
( ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ ( f1 @ $true )
| ( f0 @ ( f1 @ $true ) )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl152,plain,
( ~ ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl3845_083,plain,
( x
| ~ ( f1 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl3836]) ).
thf(zip_derived_cl3887,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl152,zip_derived_cl3845]) ).
thf(zip_derived_cl3796_084,plain,
( ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3795,zip_derived_cl2913]) ).
thf(zip_derived_cl3888,plain,
( ~ ( f1 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3887,zip_derived_cl3796]) ).
thf(zip_derived_cl3870_085,plain,
( ~ ( f1 @ $true )
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3869,zip_derived_cl3796]) ).
thf(zip_derived_cl3889,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3888,zip_derived_cl3870]) ).
thf(zip_derived_cl3962,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl153,zip_derived_cl3889]) ).
thf(zip_derived_cl3911_086,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl3963,plain,
( ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3962,zip_derived_cl3911]) ).
thf(zip_derived_cl3076_087,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl3964,plain,
( ~ ( f0 @ $false )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl3963,zip_derived_cl3076]) ).
thf(zip_derived_cl3182_088,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl3965,plain,
( ~ x
| ~ ( f2 @ $false )
| ~ ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3964,zip_derived_cl3182]) ).
thf(zip_derived_cl4028,plain,
( ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4027,zip_derived_cl3965]) ).
thf(zip_derived_cl3076_089,plain,
( ~ x
| ~ ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3075,zip_derived_cl2344]) ).
thf(zip_derived_cl4029,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ~ ( f2 @ $false )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl4028,zip_derived_cl3076]) ).
thf(zip_derived_cl3911_090,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl4030,plain,
( ~ x
| ~ ( f2 @ $false )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4029,zip_derived_cl3911]) ).
thf(zip_derived_cl3182_091,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl4031,plain,
( ~ ( f2 @ $false )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl4030,zip_derived_cl3182]) ).
thf(zip_derived_cl4094,plain,
( ~ ( f2 @ $false )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4093,zip_derived_cl4031]) ).
thf(zip_derived_cl87,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x
| ( f0 @ $true )
| ( f0 @ ( f1 @ ( f1 @ $true ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl130,plain,
( ( f0 @ ( f1 @ ( f1 @ $true ) ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl132,plain,
( ~ ( f1 @ $true )
| ( f0 @ ( f1 @ $true ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl156,plain,
( ~ ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl132]) ).
thf(zip_derived_cl3182_092,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl131,plain,
( ( f1 @ $true )
| ( f0 @ ( f1 @ $false ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl157,plain,
( ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl3823_093,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl4052,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl157,zip_derived_cl3823]) ).
thf(zip_derived_cl4008_094,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4000,zip_derived_cl3867]) ).
thf(zip_derived_cl4053,plain,
( ( f1 @ $true )
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4052,zip_derived_cl4008]) ).
thf(zip_derived_cl4046_095,plain,
( ~ ( f2 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4045,zip_derived_cl3076]) ).
thf(zip_derived_cl4054,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f1 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4053,zip_derived_cl4046]) ).
thf(zip_derived_cl4051_096,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4050,zip_derived_cl3911]) ).
thf(zip_derived_cl4055,plain,
( ( f1 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4054,zip_derived_cl4051]) ).
thf(zip_derived_cl4057,plain,
( ~ x
| ( f2 @ $false )
| ( f1 @ $true ) ),
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4055]) ).
thf(zip_derived_cl3823_097,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl4060,plain,
( ( f1 @ $true )
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4057,zip_derived_cl3823]) ).
thf(zip_derived_cl4080,plain,
( ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl156,zip_derived_cl4060]) ).
thf(zip_derived_cl135,plain,
( ~ ( f1 @ $true )
| ( f0 @ ( f1 @ $true ) )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl158,plain,
( ~ ( f1 @ $true )
| ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl4060_098,plain,
( ( f1 @ $true )
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4057,zip_derived_cl3823]) ).
thf(zip_derived_cl4061,plain,
( ( f0 @ $false )
| ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl158,zip_derived_cl4060]) ).
thf(zip_derived_cl3911_099,plain,
( ~ x
| ~ ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl3910,zip_derived_cl3076]) ).
thf(zip_derived_cl4062,plain,
( ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4061,zip_derived_cl3911]) ).
thf(zip_derived_cl3846_100,plain,
( ( f0 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl3831]) ).
thf(zip_derived_cl4063,plain,
( ( f0 @ $false )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4062,zip_derived_cl3846]) ).
thf(zip_derived_cl3308_101,plain,
( ( f1 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3297,zip_derived_cl3182]) ).
thf(zip_derived_cl4064,plain,
( ( f2 @ $true )
| ( f2 @ $false )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4063,zip_derived_cl3308]) ).
thf(zip_derived_cl3867_102,plain,
( ~ ( f2 @ $true )
| ( f0 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3832,zip_derived_cl3076]) ).
thf(zip_derived_cl4065,plain,
( ( f0 @ $false )
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4064,zip_derived_cl3867]) ).
thf(zip_derived_cl4081,plain,
( ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4080,zip_derived_cl4065]) ).
thf(zip_derived_cl3823_103,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl4082,plain,
( ( f0 @ $true )
| ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4081,zip_derived_cl3823]) ).
thf(zip_derived_cl4051_104,plain,
( ~ ( f0 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4050,zip_derived_cl3911]) ).
thf(zip_derived_cl4083,plain,
( ( f2 @ $true )
| ( f2 @ $false )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4082,zip_derived_cl4051]) ).
thf(zip_derived_cl4046_105,plain,
( ~ ( f2 @ $true )
| ~ ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4045,zip_derived_cl3076]) ).
thf(zip_derived_cl4084,plain,
( ~ ( f1 @ $false )
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4083,zip_derived_cl4046]) ).
thf(zip_derived_cl4095,plain,
~ ( f1 @ $false ),
inference(clc,[status(thm)],[zip_derived_cl4094,zip_derived_cl4084]) ).
thf(zip_derived_cl4099,plain,
f0 @ $false,
inference('sup-',[status(thm)],[zip_derived_cl3308,zip_derived_cl4095]) ).
thf(zip_derived_cl4095_106,plain,
~ ( f1 @ $false ),
inference(clc,[status(thm)],[zip_derived_cl4094,zip_derived_cl4084]) ).
thf(zip_derived_cl3182_107,plain,
( ~ x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3181,zip_derived_cl3076]) ).
thf(zip_derived_cl4095_108,plain,
~ ( f1 @ $false ),
inference(clc,[status(thm)],[zip_derived_cl4094,zip_derived_cl4084]) ).
thf(zip_derived_cl4100,plain,
~ x,
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4095]) ).
thf(zip_derived_cl3823_109,plain,
( x
| ( f2 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl3822,zip_derived_cl3261]) ).
thf(zip_derived_cl4100_110,plain,
~ x,
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4095]) ).
thf(zip_derived_cl4103,plain,
f2 @ $false,
inference(demod,[status(thm)],[zip_derived_cl3823,zip_derived_cl4100]) ).
thf(zip_derived_cl3845_111,plain,
( x
| ~ ( f1 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl3836]) ).
thf(zip_derived_cl4100_112,plain,
~ x,
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4095]) ).
thf(zip_derived_cl4104,plain,
~ ( f1 @ $true ),
inference(demod,[status(thm)],[zip_derived_cl3845,zip_derived_cl4100]) ).
thf(zip_derived_cl682,plain,
( ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ $true ) ) ) ) )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl680]) ).
thf(zip_derived_cl1043,plain,
( ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ ( f0 @ $true ) )
| ~ ( f0 @ $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl682]) ).
thf(zip_derived_cl1045,plain,
( ~ ( f0 @ $true )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1043]) ).
thf(zip_derived_cl1488,plain,
( ~ ( f0 @ $false )
| ( f1 @ $false )
| x
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl1045]) ).
thf(zip_derived_cl4099_113,plain,
f0 @ $false,
inference('sup-',[status(thm)],[zip_derived_cl3308,zip_derived_cl4095]) ).
thf(zip_derived_cl4095_114,plain,
~ ( f1 @ $false ),
inference(clc,[status(thm)],[zip_derived_cl4094,zip_derived_cl4084]) ).
thf(zip_derived_cl4100_115,plain,
~ x,
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4095]) ).
thf(zip_derived_cl4103_116,plain,
f2 @ $false,
inference(demod,[status(thm)],[zip_derived_cl3823,zip_derived_cl4100]) ).
thf(zip_derived_cl4104_117,plain,
~ ( f1 @ $true ),
inference(demod,[status(thm)],[zip_derived_cl3845,zip_derived_cl4100]) ).
thf(zip_derived_cl4113,plain,
( ~ ( f2 @ $true )
| ~ ( f0 @ $true ) ),
inference(demod,[status(thm)],[zip_derived_cl1488,zip_derived_cl4099,zip_derived_cl4095,zip_derived_cl4100,zip_derived_cl4103,zip_derived_cl4104]) ).
thf(zip_derived_cl1044,plain,
( ( f0 @ $true )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ $false )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1043]) ).
thf(zip_derived_cl1489,plain,
( ~ ( f0 @ $false )
| ( f1 @ $false )
| x
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl1044]) ).
thf(zip_derived_cl4099_118,plain,
f0 @ $false,
inference('sup-',[status(thm)],[zip_derived_cl3308,zip_derived_cl4095]) ).
thf(zip_derived_cl4095_119,plain,
~ ( f1 @ $false ),
inference(clc,[status(thm)],[zip_derived_cl4094,zip_derived_cl4084]) ).
thf(zip_derived_cl4100_120,plain,
~ x,
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4095]) ).
thf(zip_derived_cl4103_121,plain,
f2 @ $false,
inference(demod,[status(thm)],[zip_derived_cl3823,zip_derived_cl4100]) ).
thf(zip_derived_cl4104_122,plain,
~ ( f1 @ $true ),
inference(demod,[status(thm)],[zip_derived_cl3845,zip_derived_cl4100]) ).
thf(zip_derived_cl4137,plain,
( ~ ( f2 @ $true )
| ( f0 @ $true ) ),
inference(demod,[status(thm)],[zip_derived_cl1489,zip_derived_cl4099,zip_derived_cl4095,zip_derived_cl4100,zip_derived_cl4103,zip_derived_cl4104]) ).
thf(zip_derived_cl1047,plain,
( ( f0 @ $true )
| ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false )
| ~ ( f0 @ $false )
| ~ ( f0 @ $false ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl1046]) ).
thf(zip_derived_cl1491,plain,
( ~ ( f0 @ $false )
| ( f1 @ $false )
| x
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ( f2 @ $true )
| ( f0 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl1047]) ).
thf(zip_derived_cl3846_123,plain,
( ( f0 @ $false )
| x ),
inference(simplify,[status(thm)],[zip_derived_cl3831]) ).
thf(zip_derived_cl4066,plain,
( ( f0 @ $true )
| ( f2 @ $true )
| ( f1 @ $true )
| ~ ( f2 @ $false )
| x
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl1491,zip_derived_cl3846]) ).
thf(zip_derived_cl3845_124,plain,
( x
| ~ ( f1 @ $true ) ),
inference(simplify,[status(thm)],[zip_derived_cl3836]) ).
thf(zip_derived_cl4067,plain,
( ( f1 @ $false )
| x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4066,zip_derived_cl3845]) ).
thf(zip_derived_cl4031_125,plain,
( ~ ( f2 @ $false )
| ~ x ),
inference(clc,[status(thm)],[zip_derived_cl4030,zip_derived_cl3182]) ).
thf(zip_derived_cl4068,plain,
( ( f0 @ $true )
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ( f1 @ $false ) ),
inference(clc,[status(thm)],[zip_derived_cl4067,zip_derived_cl4031]) ).
thf(zip_derived_cl2761_126,plain,
( ( f1 @ $false )
| ( f2 @ $false )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl2760,zip_derived_cl2220]) ).
thf(zip_derived_cl4069,plain,
( ( f1 @ $false )
| ( f2 @ $true )
| ( f0 @ $true ) ),
inference(clc,[status(thm)],[zip_derived_cl4068,zip_derived_cl2761]) ).
thf(zip_derived_cl4095_127,plain,
~ ( f1 @ $false ),
inference(clc,[status(thm)],[zip_derived_cl4094,zip_derived_cl4084]) ).
thf(zip_derived_cl4098,plain,
( ( f2 @ $true )
| ( f0 @ $true ) ),
inference(demod,[status(thm)],[zip_derived_cl4069,zip_derived_cl4095]) ).
thf(zip_derived_cl4138,plain,
f0 @ $true,
inference(clc,[status(thm)],[zip_derived_cl4137,zip_derived_cl4098]) ).
thf(zip_derived_cl4139,plain,
~ ( f2 @ $true ),
inference(demod,[status(thm)],[zip_derived_cl4113,zip_derived_cl4138]) ).
thf(zip_derived_cl4138_128,plain,
f0 @ $true,
inference(clc,[status(thm)],[zip_derived_cl4137,zip_derived_cl4098]) ).
thf(zip_derived_cl4148,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1490,zip_derived_cl4099,zip_derived_cl4095,zip_derived_cl4100,zip_derived_cl4103,zip_derived_cl4104,zip_derived_cl4139,zip_derived_cl4138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO500^1.003 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uvywU94owb true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 00:24:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.66 % Total configuration time : 828
% 0.56/0.66 % Estimated wc time : 1656
% 0.56/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 0.58/0.86 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 5.70/1.33 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 5.70/1.35 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 6.24/1.38 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 6.24/1.40 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 6.24/1.40 % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
% 6.24/1.43 % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
% 6.24/1.44 % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s
% 6.92/1.47 % /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 30s
% 6.92/1.47 % /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc2.sh running for 10s
% 7.06/1.49 % /export/starexec/sandbox/solver/bin/lams/8_cmb.lcnf4.sh running for 10s
% 7.06/1.51 % Solved by lams/40_c.s.sh.
% 7.06/1.51 % done 300 iterations in 0.763s
% 7.06/1.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.06/1.51 % SZS output start Refutation
% See solution above
% 7.06/1.52
% 7.06/1.52
% 7.06/1.52 % Terminating...
% 7.28/1.57 % Runner terminated.
% 7.28/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------