TSTP Solution File: SEU762^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU762^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lvPWAcGASp 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 Aug 31 19:17:10 EDT 2023
% Result : Theorem 1.82s 0.96s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 97 ( 23 unt; 13 typ; 0 def)
% Number of atoms : 595 ( 8 equ; 0 cnn)
% Maximal formula atoms : 46 ( 7 avg)
% Number of connectives : 2100 ( 96 ~; 72 |; 0 &;1509 @)
% ( 0 <=>; 297 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 11 con; 0-2 aty)
% ( 126 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 291 ( 126 ^; 165 !; 0 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
thf(woz13rule2_type,type,
woz13rule2: $o ).
thf(binintersectT_lem_type,type,
binintersectT_lem: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(woz13rule1_type,type,
woz13rule1: $o ).
thf(woz13rule3_type,type,
woz13rule3: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(woz13rule3,axiom,
( woz13rule3
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ( ( subset @ X @ Y )
=> ( ( subset @ X @ Z )
=> ( subset @ X @ ( binintersect @ Y @ Z ) ) ) ) ) ) ) ) ) ).
thf('0',plain,
( woz13rule3
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( powerset @ X4 ) )
=> ( ( subset @ X6 @ X8 )
=> ( ( subset @ X6 @ X10 )
=> ( subset @ X6 @ ( binintersect @ X8 @ X10 ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(woz13rule2,axiom,
( woz13rule2
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ( ( subset @ Y @ Z )
=> ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ).
thf('1',plain,
( woz13rule2
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( powerset @ X4 ) )
=> ( ( subset @ X8 @ X10 )
=> ( subset @ ( binintersect @ X6 @ X8 ) @ X10 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(woz13rule1,axiom,
( woz13rule1
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ( ( subset @ X @ Z )
=> ( subset @ ( binintersect @ X @ Y ) @ Z ) ) ) ) ) ) ) ).
thf('2',plain,
( woz13rule1
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( powerset @ X4 ) )
=> ( ( subset @ X6 @ X10 )
=> ( subset @ ( binintersect @ X6 @ X8 ) @ X10 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(binintersectT_lem,axiom,
( binintersectT_lem
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( in @ ( binintersect @ X @ Y ) @ ( powerset @ A ) ) ) ) ) ) ).
thf('3',plain,
( binintersectT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(woz13rule4,conjecture,
( binintersectT_lem
=> ( woz13rule1
=> ( woz13rule2
=> ( woz13rule3
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ! [Z: $i] :
( ( in @ Z @ ( powerset @ A ) )
=> ! [W: $i] :
( ( in @ W @ ( powerset @ A ) )
=> ( ( subset @ X @ Z )
=> ( ( subset @ Y @ W )
=> ( subset @ ( binintersect @ X @ Y ) @ ( binintersect @ Z @ W ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ ( powerset @ X10 ) )
=> ( ( subset @ X12 @ X16 )
=> ( subset @ ( binintersect @ X12 @ X14 ) @ X16 ) ) ) ) )
=> ( ! [X18: $i,X20: $i] :
( ( in @ X20 @ ( powerset @ X18 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X18 ) )
=> ! [X24: $i] :
( ( in @ X24 @ ( powerset @ X18 ) )
=> ( ( subset @ X22 @ X24 )
=> ( subset @ ( binintersect @ X20 @ X22 ) @ X24 ) ) ) ) )
=> ( ! [X26: $i,X28: $i] :
( ( in @ X28 @ ( powerset @ X26 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X26 ) )
=> ! [X32: $i] :
( ( in @ X32 @ ( powerset @ X26 ) )
=> ( ( subset @ X28 @ X30 )
=> ( ( subset @ X28 @ X32 )
=> ( subset @ X28 @ ( binintersect @ X30 @ X32 ) ) ) ) ) ) )
=> ! [X34: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X34 ) )
=> ! [X38: $i] :
( ( in @ X38 @ ( powerset @ X34 ) )
=> ! [X40: $i] :
( ( in @ X40 @ ( powerset @ X34 ) )
=> ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X34 ) )
=> ( ( subset @ X36 @ X40 )
=> ( ( subset @ X38 @ X42 )
=> ( subset @ ( binintersect @ X36 @ X38 ) @ ( binintersect @ X40 @ X42 ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( in @ ( binintersect @ X6 @ X8 ) @ ( powerset @ X4 ) ) ) )
=> ( ! [X10: $i,X12: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ! [X14: $i] :
( ( in @ X14 @ ( powerset @ X10 ) )
=> ! [X16: $i] :
( ( in @ X16 @ ( powerset @ X10 ) )
=> ( ( subset @ X12 @ X16 )
=> ( subset @ ( binintersect @ X12 @ X14 ) @ X16 ) ) ) ) )
=> ( ! [X18: $i,X20: $i] :
( ( in @ X20 @ ( powerset @ X18 ) )
=> ! [X22: $i] :
( ( in @ X22 @ ( powerset @ X18 ) )
=> ! [X24: $i] :
( ( in @ X24 @ ( powerset @ X18 ) )
=> ( ( subset @ X22 @ X24 )
=> ( subset @ ( binintersect @ X20 @ X22 ) @ X24 ) ) ) ) )
=> ( ! [X26: $i,X28: $i] :
( ( in @ X28 @ ( powerset @ X26 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X26 ) )
=> ! [X32: $i] :
( ( in @ X32 @ ( powerset @ X26 ) )
=> ( ( subset @ X28 @ X30 )
=> ( ( subset @ X28 @ X32 )
=> ( subset @ X28 @ ( binintersect @ X30 @ X32 ) ) ) ) ) ) )
=> ! [X34: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X34 ) )
=> ! [X38: $i] :
( ( in @ X38 @ ( powerset @ X34 ) )
=> ! [X40: $i] :
( ( in @ X40 @ ( powerset @ X34 ) )
=> ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X34 ) )
=> ( ( subset @ X36 @ X40 )
=> ( ( subset @ X38 @ X42 )
=> ( subset @ ( binintersect @ X36 @ X38 ) @ ( binintersect @ X40 @ X42 ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( in @ ( binintersect @ Y1 @ Y2 ) @ ( powerset @ Y0 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y2 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ Y1 @ ( binintersect @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( ( subset @ Y2 @ Y4 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ ( binintersect @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( in @ ( binintersect @ Y1 @ Y2 ) @ ( powerset @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( in @ ( binintersect @ Y0 @ Y1 ) @ ( powerset @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( in @ ( binintersect @ X4 @ Y0 ) @ ( powerset @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( in @ ( binintersect @ X4 @ Y0 ) @ ( powerset @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( in @ ( binintersect @ X4 @ X6 ) @ ( powerset @ X2 ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( in @ ( binintersect @ X4 @ X6 ) @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y2 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ Y1 @ ( binintersect @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( ( subset @ Y2 @ Y4 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ ( binintersect @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y2 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ Y1 @ ( binintersect @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( ( subset @ Y2 @ Y4 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ ( binintersect @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ Y1 @ ( binintersect @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( ( subset @ Y2 @ Y4 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ ( binintersect @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( ( subset @ Y2 @ Y4 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ ( binintersect @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ Y0 @ Y2 )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ ( binintersect @ Y0 @ Y1 ) @ ( binintersect @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl24,plain,
~ ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ Y1 )
=> ( ( subset @ Y0 @ Y2 )
=> ( subset @ ( binintersect @ '#sk2' @ Y0 ) @ ( binintersect @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ X2 ) )
=> ( ( subset @ Y0 @ Y2 )
=> ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ Y1 )
=> ( subset @ ( binintersect @ X4 @ Y0 ) @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ Y1 )
=> ( subset @ ( binintersect @ X4 @ Y0 ) @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ Y0 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ Y0 ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ Y0 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ Y0 ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ X8 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ X8 ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ ( powerset @ X2 ) )
| ( ( subset @ X4 @ X8 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ X8 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( subset @ X4 @ X8 )
| ( subset @ ( binintersect @ X4 @ X6 ) @ X8 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X8 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ~ ( in @ X1 @ ( powerset @ '#sk1' ) )
| ( subset @ ( binintersect @ '#sk2' @ X1 ) @ X0 )
| ~ ( subset @ '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl39]) ).
thf(zip_derived_cl28_001,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y2 @ Y3 )
=> ( subset @ ( binintersect @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ X2 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( ( subset @ Y0 @ Y1 )
=> ( subset @ ( binintersect @ X4 @ Y0 ) @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( ( subset @ Y0 @ Y1 )
=> ( subset @ ( binintersect @ X4 @ Y0 ) @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X6 @ Y0 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ Y0 ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X6 @ Y0 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ Y0 ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ ( powerset @ X2 ) )
=> ( ( subset @ X6 @ X8 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ X8 ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ ( powerset @ X2 ) )
| ( ( subset @ X6 @ X8 )
=> ( subset @ ( binintersect @ X4 @ X6 ) @ X8 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl43,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( subset @ X6 @ X8 )
| ( subset @ ( binintersect @ X4 @ X6 ) @ X8 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X8 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ~ ( in @ X1 @ ( powerset @ '#sk1' ) )
| ( subset @ ( binintersect @ '#sk2' @ X1 ) @ X0 )
| ~ ( subset @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl43]) ).
thf(zip_derived_cl29,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ Y1 )
=> ( ( subset @ Y0 @ Y2 )
=> ( subset @ ( binintersect @ '#sk2' @ Y0 ) @ ( binintersect @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
~ ( ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ Y0 )
=> ( ( subset @ '#sk3' @ Y1 )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl38,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ Y0 )
=> ( ( subset @ '#sk3' @ Y1 )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl42,plain,
~ ( ( in @ '#sk4' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ '#sk4' )
=> ( ( subset @ '#sk3' @ Y0 )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ '#sk4' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl46,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ '#sk4' )
=> ( ( subset @ '#sk3' @ Y0 )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ '#sk4' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl48,plain,
~ ( ( in @ '#sk5' @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ '#sk4' )
=> ( ( subset @ '#sk3' @ '#sk5' )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ '#sk4' @ '#sk5' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl51,plain,
~ ( ( subset @ '#sk2' @ '#sk4' )
=> ( ( subset @ '#sk3' @ '#sk5' )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ '#sk4' @ '#sk5' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl53,plain,
~ ( ( subset @ '#sk3' @ '#sk5' )
=> ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ '#sk4' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl55,plain,
~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( binintersect @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl50,plain,
in @ '#sk5' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( ( subset @ Y1 @ Y3 )
=> ( subset @ Y1 @ ( binintersect @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
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 @ ( powerset @ X2 ) )
=> ( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y0 @ Y2 )
=> ( subset @ Y0 @ ( binintersect @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ Y0 )
=> ( ( subset @ X4 @ Y1 )
=> ( subset @ X4 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ Y0 )
=> ( ( subset @ X4 @ Y1 )
=> ( subset @ X4 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ X6 )
=> ( ( subset @ X4 @ Y0 )
=> ( subset @ X4 @ ( binintersect @ X6 @ Y0 ) ) ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ X6 )
=> ( ( subset @ X4 @ Y0 )
=> ( subset @ X4 @ ( binintersect @ X6 @ Y0 ) ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl41,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( in @ X8 @ ( powerset @ X2 ) )
=> ( ( subset @ X4 @ X6 )
=> ( ( subset @ X4 @ X8 )
=> ( subset @ X4 @ ( binintersect @ X6 @ X8 ) ) ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( in @ X8 @ ( powerset @ X2 ) )
| ( ( subset @ X4 @ X6 )
=> ( ( subset @ X4 @ X8 )
=> ( subset @ X4 @ ( binintersect @ X6 @ X8 ) ) ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( subset @ X4 @ X6 )
| ( ( subset @ X4 @ X8 )
=> ( subset @ X4 @ ( binintersect @ X6 @ X8 ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X8 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( subset @ X4 @ X8 )
| ( subset @ X4 @ ( binintersect @ X6 @ X8 ) )
| ~ ( in @ X8 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( in @ X1 @ ( powerset @ '#sk1' ) )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( subset @ X1 @ ( binintersect @ X0 @ '#sk5' ) )
| ~ ( subset @ X1 @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl249,plain,
( ~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ '#sk5' )
| ~ ( in @ '#sk4' @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ '#sk4' ) ),
inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl106]) ).
thf(zip_derived_cl45,plain,
in @ '#sk4' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl258,plain,
( ~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ '#sk5' )
| ~ ( in @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl249,zip_derived_cl45]) ).
thf(zip_derived_cl290,plain,
( ~ ( subset @ '#sk3' @ '#sk5' )
| ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk5' @ ( powerset @ '#sk1' ) )
| ~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ '#sk4' )
| ~ ( in @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( powerset @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl258]) ).
thf(zip_derived_cl54,plain,
subset @ '#sk3' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl37,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl50_002,plain,
in @ '#sk5' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl294,plain,
( ~ ( subset @ ( binintersect @ '#sk2' @ '#sk3' ) @ '#sk4' )
| ~ ( in @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( powerset @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl54,zip_derived_cl37,zip_derived_cl50]) ).
thf(zip_derived_cl301,plain,
( ~ ( subset @ '#sk2' @ '#sk4' )
| ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk4' @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( powerset @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl294]) ).
thf(zip_derived_cl52,plain,
subset @ '#sk2' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl37_003,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl45_004,plain,
in @ '#sk4' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl307,plain,
~ ( in @ ( binintersect @ '#sk2' @ '#sk3' ) @ ( powerset @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl301,zip_derived_cl52,zip_derived_cl37,zip_derived_cl45]) ).
thf(zip_derived_cl315,plain,
( ~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl307]) ).
thf(zip_derived_cl28_005,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl37_006,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl318,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl315,zip_derived_cl28,zip_derived_cl37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU762^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lvPWAcGASp 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 Aug 23 15:09:16 EDT 2023
% 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
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in HO mode
% 0.23/0.66 % Total configuration time : 828
% 0.23/0.66 % Estimated wc time : 1656
% 0.23/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.29/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.82/0.96 % Solved by lams/35_full_unif4.sh.
% 1.82/0.96 % done 138 iterations in 0.139s
% 1.82/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.82/0.96 % SZS output start Refutation
% See solution above
% 1.82/0.96
% 1.82/0.96
% 1.82/0.96 % Terminating...
% 2.00/1.06 % Runner terminated.
% 2.00/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------