%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU754^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YF60seAMSf true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:56:08 PM UTC 2025
% Result : Theorem 0.59s 0.86s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 86 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 603 ( 10 equ; 64 cnn)
% Maximal formula atoms : 50 ( 7 avg)
% Number of connectives : 1980 ( 158 ~; 52 |; 0 &;1389 @)
% ( 0 <=>; 250 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 12 con; 0-2 aty)
% ( 131 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 297 ( 131 ^; 166 !; 0 ?; 297 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminusER_type,type,
setminusER: $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(binintersectI_type,type,
binintersectI: $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(setminusI_type,type,
setminusI: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(binunionTIRcontra_type,type,
binunionTIRcontra: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(binunionTILcontra_type,type,
binunionTILcontra: $o ).
thf(binunionTIRcontra,axiom,
( binunionTIRcontra
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
=> ~ ( in @ Xx @ Y ) ) ) ) ) ) ) ).
thf('0',plain,
( binunionTIRcontra
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) )
=> ~ ( in @ X10 @ X8 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binunionTILcontra,axiom,
( binunionTILcontra
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ ( binunion @ X @ Y ) )
=> ~ ( in @ Xx @ X ) ) ) ) ) ) ) ).
thf('1',plain,
( binunionTILcontra
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ~ ( in @ X10 @ ( binunion @ X6 @ X8 ) )
=> ~ ( in @ X10 @ X6 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(setminusER,axiom,
( setminusER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ) ) ).
thf('2',plain,
( setminusER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ~ ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setminusI,axiom,
( setminusI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
thf('3',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectI,axiom,
( binintersectI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('4',plain,
( binintersectI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(demorgan2a,conjecture,
( binintersectI
=> ( setminusI
=> ( setminusER
=> ( binunionTILcontra
=> ( binunionTIRcontra
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( setminus @ A @ ( binunion @ X @ Y ) ) )
=> ( in @ Xx @ ( binintersect @ ( setminus @ A @ X ) @ ( setminus @ A @ Y ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ( ~ ( in @ X14 @ X12 )
=> ( in @ X14 @ ( setminus @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ~ ( in @ X20 @ X18 ) )
=> ( ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ( ~ ( in @ X28 @ ( binunion @ X24 @ X26 ) )
=> ~ ( in @ X28 @ X24 ) ) ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ( ~ ( in @ X36 @ ( binunion @ X32 @ X34 ) )
=> ~ ( in @ X36 @ X34 ) ) ) ) )
=> ! [X38: $i,X40: $i] :
( ( in @ X40 @ ( powerset @ X38 ) )
=> ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X38 ) )
=> ! [X44: $i] :
( ( in @ X44 @ X38 )
=> ( ( in @ X44 @ ( setminus @ X38 @ ( binunion @ X40 @ X42 ) ) )
=> ( in @ X44 @ ( binintersect @ ( setminus @ X38 @ X40 ) @ ( setminus @ X38 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14 @ X10 )
=> ( ~ ( in @ X14 @ X12 )
=> ( in @ X14 @ ( setminus @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ ( setminus @ X16 @ X18 ) )
=> ~ ( in @ X20 @ X18 ) )
=> ( ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ X22 )
=> ( ~ ( in @ X28 @ ( binunion @ X24 @ X26 ) )
=> ~ ( in @ X28 @ X24 ) ) ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( in @ X32 @ ( powerset @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X30 ) )
=> ! [X36: $i] :
( ( in @ X36 @ X30 )
=> ( ~ ( in @ X36 @ ( binunion @ X32 @ X34 ) )
=> ~ ( in @ X36 @ X34 ) ) ) ) )
=> ! [X38: $i,X40: $i] :
( ( in @ X40 @ ( powerset @ X38 ) )
=> ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X38 ) )
=> ! [X44: $i] :
( ( in @ X44 @ X38 )
=> ( ( in @ X44 @ ( setminus @ X38 @ ( binunion @ X40 @ X42 ) ) )
=> ( in @ X44 @ ( binintersect @ ( setminus @ X38 @ X40 ) @ ( setminus @ X38 @ X42 ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( (~) @ ( in @ Y2 @ Y1 ) )
=> ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ ( setminus @ Y0 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( in @ Y3 @ ( binintersect @ ( setminus @ Y0 @ Y1 ) @ ( setminus @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( (~) @ ( in @ Y2 @ Y1 ) )
=> ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ ( setminus @ Y0 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( in @ Y3 @ ( binintersect @ ( setminus @ Y0 @ Y1 ) @ ( setminus @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ ( setminus @ Y0 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( in @ Y3 @ ( binintersect @ ( setminus @ Y0 @ Y1 ) @ ( setminus @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setminus @ X2 @ Y0 ) )
=> ( (~) @ ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setminus @ X2 @ X4 ) )
=> ( (~) @ ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ ( setminus @ X2 @ X4 ) )
=> ( (~) @ ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( setminus @ X2 @ X4 ) )
| ~ ( in @ X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ ( setminus @ Y0 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( in @ Y3 @ ( binintersect @ ( setminus @ Y0 @ Y1 ) @ ( setminus @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ ( setminus @ Y0 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( in @ Y3 @ ( binintersect @ ( setminus @ Y0 @ Y1 ) @ ( setminus @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ ( setminus @ Y0 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( in @ Y3 @ ( binintersect @ ( setminus @ Y0 @ Y1 ) @ ( setminus @ Y0 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk1' )
=> ( ( in @ Y2 @ ( setminus @ '#sk1' @ ( binunion @ Y0 @ Y1 ) ) )
=> ( in @ Y2 @ ( binintersect @ ( setminus @ '#sk1' @ Y0 ) @ ( setminus @ '#sk1' @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
~ ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ Y1 @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ Y0 ) ) )
=> ( in @ Y1 @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl35,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ Y1 @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ Y0 ) ) )
=> ( in @ Y1 @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl38,plain,
~ ( ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y0 @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ '#sk3' ) ) )
=> ( in @ Y0 @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ '#sk3' ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y0 @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ '#sk3' ) ) )
=> ( in @ Y0 @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ '#sk3' ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl45,plain,
~ ( ( in @ '#sk4' @ '#sk1' )
=> ( ( in @ '#sk4' @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ '#sk3' ) ) )
=> ( in @ '#sk4' @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ '#sk3' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl49,plain,
~ ( ( in @ '#sk4' @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ '#sk3' ) ) )
=> ( in @ '#sk4' @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ '#sk3' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl51,plain,
in @ '#sk4' @ ( setminus @ '#sk1' @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl69,plain,
~ ( in @ '#sk4' @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl51]) ).
thf(zip_derived_cl34,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( ( (~) @ ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( (~) @ ( in @ Y1 @ ( binunion @ X4 @ Y0 ) ) )
=> ( (~) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( (~) @ ( in @ Y1 @ ( binunion @ X4 @ Y0 ) ) )
=> ( (~) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( (~) @ ( in @ Y0 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ Y0 @ X6 ) ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( (~) @ ( in @ Y0 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ Y0 @ X6 ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ X2 )
=> ( ( (~) @ ( in @ X8 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ X8 @ X6 ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ X2 )
| ( ( (~) @ ( in @ X8 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ X8 @ X6 ) ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl50,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
| ~ ( in @ X8 @ X6 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X8 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ '#sk1' )
| ~ ( in @ X1 @ ( powerset @ '#sk1' ) )
| ~ ( in @ X0 @ X1 )
| ( in @ X0 @ ( binunion @ '#sk2' @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl50]) ).
thf(zip_derived_cl115,plain,
( ~ ( in @ '#sk4' @ '#sk3' )
| ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk4' @ '#sk1' ) ),
inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl92]) ).
thf(zip_derived_cl69_001,plain,
~ ( in @ '#sk4' @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl51]) ).
thf(zip_derived_cl34_002,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( (~) @ ( in @ Y3 @ ( binunion @ Y1 @ Y2 ) ) )
=> ( (~) @ ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( ( (~) @ ( in @ Y2 @ ( binunion @ Y0 @ Y1 ) ) )
=> ( (~) @ ( in @ Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( (~) @ ( in @ Y1 @ ( binunion @ X4 @ Y0 ) ) )
=> ( (~) @ ( in @ Y1 @ X4 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( (~) @ ( in @ Y1 @ ( binunion @ X4 @ Y0 ) ) )
=> ( (~) @ ( in @ Y1 @ X4 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( (~) @ ( in @ Y0 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ Y0 @ X4 ) ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( (~) @ ( in @ Y0 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ Y0 @ X4 ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ X2 )
=> ( ( (~) @ ( in @ X8 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ X8 @ X4 ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl43,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ X2 )
| ( ( (~) @ ( in @ X8 @ ( binunion @ X4 @ X6 ) ) )
=> ( (~) @ ( in @ X8 @ X4 ) ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl46,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( binunion @ X4 @ X6 ) )
| ~ ( in @ X8 @ X4 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X8 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ '#sk1' )
| ~ ( in @ X1 @ ( powerset @ '#sk1' ) )
| ~ ( in @ X0 @ '#sk2' )
| ( in @ X0 @ ( binunion @ '#sk2' @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl46]) ).
thf(zip_derived_cl84,plain,
( ~ ( in @ '#sk4' @ '#sk2' )
| ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk4' @ '#sk1' ) ),
inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl78]) ).
thf(zip_derived_cl41,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl48,plain,
in @ '#sk4' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl87,plain,
~ ( in @ '#sk4' @ '#sk2' ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl41,zip_derived_cl48]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( (~) @ ( in @ Y2 @ Y1 ) )
=> ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( (~) @ ( in @ Y1 @ Y0 ) )
=> ( in @ Y1 @ ( setminus @ X2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( (~) @ ( in @ Y0 @ X4 ) )
=> ( in @ Y0 @ ( setminus @ X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X2 )
=> ( ( (~) @ ( in @ X6 @ X4 ) )
=> ( in @ X6 @ ( setminus @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( ( (~) @ ( in @ X6 @ X4 ) )
=> ( in @ X6 @ ( setminus @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X4 )
| ( in @ X6 @ ( setminus @ X2 @ X4 ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27_003,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X4 )
| ( in @ X6 @ ( setminus @ X2 @ X4 ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl52,plain,
~ ( in @ '#sk4' @ ( binintersect @ ( setminus @ '#sk1' @ '#sk2' ) @ ( setminus @ '#sk1' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( binintersect @ X2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ ( binintersect @ X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ X2 )
=> ( ( in @ X6 @ X4 )
=> ( in @ X6 @ ( binintersect @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( ( in @ X6 @ X4 )
=> ( in @ X6 @ ( binintersect @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X4 )
| ( in @ X6 @ ( binintersect @ X2 @ X4 ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl53,plain,
( ~ ( in @ '#sk4' @ ( setminus @ '#sk1' @ '#sk2' ) )
| ~ ( in @ '#sk4' @ ( setminus @ '#sk1' @ '#sk3' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl21]) ).
thf(zip_derived_cl57,plain,
( ~ ( in @ '#sk4' @ '#sk1' )
| ( in @ '#sk4' @ '#sk2' )
| ~ ( in @ '#sk4' @ ( setminus @ '#sk1' @ '#sk3' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl53]) ).
thf(zip_derived_cl48_004,plain,
in @ '#sk4' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl59,plain,
( ( in @ '#sk4' @ '#sk2' )
| ~ ( in @ '#sk4' @ ( setminus @ '#sk1' @ '#sk3' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl48]) ).
thf(zip_derived_cl62,plain,
( ~ ( in @ '#sk4' @ '#sk1' )
| ( in @ '#sk4' @ '#sk3' )
| ( in @ '#sk4' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl59]) ).
thf(zip_derived_cl48_005,plain,
in @ '#sk4' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl65,plain,
( ( in @ '#sk4' @ '#sk3' )
| ( in @ '#sk4' @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl48]) ).
thf(zip_derived_cl98,plain,
in @ '#sk4' @ '#sk3',
inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl65]) ).
thf(zip_derived_cl41_006,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl48_007,plain,
in @ '#sk4' @ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl118,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl98,zip_derived_cl41,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU754^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YF60seAMSf true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:10:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.86 % Solved by lams/35_full_unif4.sh.
% 0.59/0.86 % done 44 iterations in 0.050s
% 0.59/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.86 % SZS output start Refutation
% See solution above
% 0.59/0.86
% 0.59/0.86
% 0.59/0.86 % Terminating...
% 1.57/0.98 % Runner terminated.
% 1.57/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------