%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU725^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sVWbjsx3xK true
% Computer : n005.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 04:55:58 PM UTC 2025
% Result : Theorem 0.60s 0.96s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 505 ( 10 equ; 14 cnn)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 1784 ( 103 ~; 72 |; 0 &;1300 @)
% ( 0 <=>; 206 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 11 con; 0-3 aty)
% ( 103 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 262 ( 103 ^; 159 !; 0 ?; 262 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setminusI_type,type,
setminusI: $o ).
thf(complementT_lem_type,type,
complementT_lem: $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetTI_type,type,
subsetTI: $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(subsetE_type,type,
subsetE: $o ).
thf('#sk4_type',type,
'#sk4': $i > $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(setminusER_type,type,
setminusER: $o ).
thf(subsetTI,axiom,
( subsetTI
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ X )
=> ( in @ Xx @ Y ) ) )
=> ( subset @ X @ Y ) ) ) ) ) ) ).
thf('0',plain,
( subsetTI
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ ( powerset @ X4 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( in @ X10 @ X6 )
=> ( in @ X10 @ X8 ) ) )
=> ( subset @ X6 @ X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(complementT_lem,axiom,
( complementT_lem
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( in @ ( setminus @ A @ X ) @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( complementT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) ) ),
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(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('4',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(contrasubsetT2,conjecture,
( subsetE
=> ( setminusI
=> ( setminusER
=> ( complementT_lem
=> ( subsetTI
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ( subset @ X @ Y )
=> ( subset @ ( setminus @ A @ Y ) @ ( setminus @ A @ X ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ 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 ) )
=> ( in @ ( setminus @ X22 @ X24 ) @ ( powerset @ X22 ) ) )
=> ( ! [X26: $i,X28: $i] :
( ( in @ X28 @ ( powerset @ X26 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X26 ) )
=> ( ! [X32: $i] :
( ( in @ X32 @ X26 )
=> ( ( in @ X32 @ X28 )
=> ( in @ X32 @ X30 ) ) )
=> ( subset @ X28 @ X30 ) ) ) )
=> ! [X34: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X34 ) )
=> ! [X38: $i] :
( ( in @ X38 @ ( powerset @ X34 ) )
=> ( ( subset @ X36 @ X38 )
=> ( subset @ ( setminus @ X34 @ X38 ) @ ( setminus @ X34 @ X36 ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ 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 ) )
=> ( in @ ( setminus @ X22 @ X24 ) @ ( powerset @ X22 ) ) )
=> ( ! [X26: $i,X28: $i] :
( ( in @ X28 @ ( powerset @ X26 ) )
=> ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X26 ) )
=> ( ! [X32: $i] :
( ( in @ X32 @ X26 )
=> ( ( in @ X32 @ X28 )
=> ( in @ X32 @ X30 ) ) )
=> ( subset @ X28 @ X30 ) ) ) )
=> ! [X34: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X34 ) )
=> ! [X38: $i] :
( ( in @ X38 @ ( powerset @ X34 ) )
=> ( ( subset @ X36 @ X38 )
=> ( subset @ ( setminus @ X34 @ X38 ) @ ( setminus @ X34 @ X36 ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ 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 ) )
=> ( in @ ( setminus @ Y0 @ Y1 ) @ ( powerset @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( setminus @ Y0 @ Y2 ) @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ),
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 ) )
=> ( in @ ( setminus @ Y0 @ Y1 ) @ ( powerset @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( setminus @ Y0 @ Y2 ) @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
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 ) )
=> ( in @ ( setminus @ Y0 @ Y1 ) @ ( powerset @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( setminus @ Y0 @ Y2 ) @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( in @ ( setminus @ Y0 @ Y1 ) @ ( powerset @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( setminus @ Y0 @ Y2 ) @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( in @ ( setminus @ Y0 @ Y1 ) @ ( powerset @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( in @ ( setminus @ X2 @ Y0 ) @ ( powerset @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29_001,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
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 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( setminus @ Y0 @ Y2 ) @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
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 ) )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ ( setminus @ Y0 @ Y2 ) @ ( setminus @ Y0 @ Y1 ) ) ) ) ) ) ) ),
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' ) )
=> ( ( subset @ Y0 @ Y1 )
=> ( subset @ ( setminus @ '#sk1' @ Y1 ) @ ( setminus @ '#sk1' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
~ ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ Y0 )
=> ( subset @ ( setminus @ '#sk1' @ Y0 ) @ ( setminus @ '#sk1' @ '#sk2' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl34,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ Y0 )
=> ( subset @ ( setminus @ '#sk1' @ Y0 ) @ ( setminus @ '#sk1' @ '#sk2' ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl36,plain,
~ ( ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk2' @ '#sk3' )
=> ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl38,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl29_002,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
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 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ 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 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) )
=> ( subset @ Y0 @ 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 @ X4 )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ X4 )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ ( powerset @ X2 ) )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X6 ) ) ) )
=> ( subset @ X4 @ X6 ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( powerset @ X2 ) )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X6 ) ) ) )
=> ( subset @ X4 @ X6 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X6 ) ) ) )
| ( subset @ X4 @ X6 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl43,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X2 )
=> ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X4 )
=> ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X6 ) ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X2 )
| ( subset @ X4 @ X6 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( subset @ ( setminus @ X0 @ X1 ) @ X2 )
| ( in @ ( '#sk4' @ X0 @ ( setminus @ X0 @ X1 ) @ X2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl44]) ).
thf(zip_derived_cl116,plain,
! [X0: $i] :
( ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ '#sk3' ) @ X0 ) @ '#sk1' )
| ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ X0 )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl58]) ).
thf(zip_derived_cl39,plain,
~ ( ( subset @ '#sk2' @ '#sk3' )
=> ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl42,plain,
~ ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl122,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl42]) ).
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_cl45,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X4 )
=> ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X6 ) )
| ( subset @ X4 @ X6 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X6 )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ ( '#sk4' @ X3 @ X2 @ ( setminus @ X1 @ X0 ) ) @ X1 )
| ( in @ ( '#sk4' @ X3 @ X2 @ ( setminus @ X1 @ X0 ) ) @ X0 )
| ( subset @ X2 @ ( setminus @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X3 ) )
| ~ ( in @ ( setminus @ X1 @ X0 ) @ ( powerset @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl47]) ).
thf(zip_derived_cl130,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) )
| ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl54]) ).
thf(zip_derived_cl132,plain,
( ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl42_003,plain,
~ ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl134,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference(clc,[status(thm)],[zip_derived_cl132,zip_derived_cl42]) ).
thf(zip_derived_cl41,plain,
subset @ '#sk2' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( in @ X0 @ '#sk3' )
| ~ ( in @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl21]) ).
thf(zip_derived_cl136,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl48]) ).
thf(zip_derived_cl29_004,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl29_005,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl46,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X4 )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( subset @ X2 @ ( setminus @ X0 @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( in @ ( '#sk4' @ X0 @ X2 @ ( setminus @ X0 @ X1 ) ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl46]) ).
thf(zip_derived_cl156,plain,
! [X0: $i] :
( ( in @ ( '#sk4' @ '#sk1' @ X0 @ ( setminus @ '#sk1' @ '#sk2' ) ) @ X0 )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( subset @ X0 @ ( setminus @ '#sk1' @ '#sk2' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl64]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( subset @ ( setminus @ '#sk1' @ X0 ) @ ( setminus @ '#sk1' @ '#sk2' ) )
| ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ ( setminus @ '#sk1' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl156]) ).
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_cl274,plain,
! [X0: $i] :
( ( subset @ ( setminus @ '#sk1' @ X0 ) @ ( setminus @ '#sk1' @ '#sk2' ) )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( '#sk4' @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) @ ( setminus @ '#sk1' @ '#sk2' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl28]) ).
thf(zip_derived_cl295,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
| ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl274]) ).
thf(zip_derived_cl38_006,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl299,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl38]) ).
thf(zip_derived_cl42_007,plain,
~ ( subset @ ( setminus @ '#sk1' @ '#sk3' ) @ ( setminus @ '#sk1' @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl301,plain,
( ~ ( in @ ( setminus @ '#sk1' @ '#sk3' ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) ) ),
inference(clc,[status(thm)],[zip_derived_cl299,zip_derived_cl42]) ).
thf(zip_derived_cl302,plain,
( ~ ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl301]) ).
thf(zip_derived_cl38_008,plain,
in @ '#sk3' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl304,plain,
~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl38]) ).
thf(zip_derived_cl307,plain,
~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl304]) ).
thf(zip_derived_cl33_009,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl310,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU725^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sVWbjsx3xK true
% 0.13/0.34 % Computer : n005.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
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Wed Oct 1 16:14:38 EDT 2025
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.58/0.67 % Total configuration time : 828
% 0.58/0.67 % Estimated wc time : 1656
% 0.58/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.96 % Solved by lams/35_full_unif4.sh.
% 0.60/0.96 % done 120 iterations in 0.124s
% 0.60/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.96 % SZS output start Refutation
% See solution above
% 0.60/0.97
% 0.60/0.97
% 0.60/0.97 % Terminating...
% 3.22/1.13 % Runner terminated.
% 3.22/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------