%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU730^2 : 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.mwNgCZCYSb true
% Computer : n006.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 04:56:00 PM UTC 2025
% Result : Theorem 0.51s 0.83s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 323 ( 6 equ; 0 cnn)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 1277 ( 63 ~; 61 |; 0 &; 973 @)
% ( 0 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-3 aty)
% ( 52 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 163 ( 52 ^; 111 !; 0 ?; 163 :)
% Comments :
%------------------------------------------------------------------------------
thf(complementT_lem_type,type,
complementT_lem: $o ).
thf('#sk3_type',type,
'#sk3': $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetTI_type,type,
subsetTI: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(doubleComplementE1_type,type,
doubleComplementE1: $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(doubleComplementE1,axiom,
( doubleComplementE1
= ( ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ ( setminus @ A @ ( setminus @ A @ X ) ) )
=> ( in @ Xx @ X ) ) ) ) ) ) ).
thf('0',plain,
( doubleComplementE1
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ ( setminus @ X4 @ ( setminus @ X4 @ X6 ) ) )
=> ( in @ X8 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
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('1',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('2',plain,
( complementT_lem
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(doubleComplementSub2,conjecture,
( complementT_lem
=> ( subsetTI
=> ( doubleComplementE1
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( subset @ ( setminus @ A @ ( setminus @ A @ X ) ) @ X ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ ( powerset @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( powerset @ X8 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X8 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( subset @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ ( setminus @ X16 @ ( setminus @ X16 @ X18 ) ) )
=> ( in @ X20 @ X18 ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ( subset @ ( setminus @ X22 @ ( setminus @ X22 @ X24 ) ) @ X24 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( in @ ( setminus @ X4 @ X6 ) @ ( powerset @ X4 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( in @ X10 @ ( powerset @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ ( powerset @ X8 ) )
=> ( ! [X14: $i] :
( ( in @ X14 @ X8 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( subset @ X10 @ X12 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ ( setminus @ X16 @ ( setminus @ X16 @ X18 ) ) )
=> ( in @ X20 @ X18 ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ( subset @ ( setminus @ X22 @ ( setminus @ X22 @ X24 ) ) @ X24 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,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 @ Y0 )
=> ( ( in @ Y2 @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( subset @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( in @ ( setminus @ Y0 @ Y1 ) @ ( powerset @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( in @ ( setminus @ X2 @ Y0 ) @ ( powerset @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl2,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 @ Y0 )
=> ( ( in @ Y2 @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( subset @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) @ Y1 ) ) ) ) ) ),
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 @ Y0 )
=> ( ( in @ Y2 @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( subset @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( subset @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ Y0 ) ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
~ ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
=> ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
~ ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl10_001,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10_002,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl4,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_cl2]) ).
thf(zip_derived_cl7,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_cl4]) ).
thf(zip_derived_cl11,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_cl7]) ).
thf(zip_derived_cl14,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_cl11]) ).
thf(zip_derived_cl17,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_cl14]) ).
thf(zip_derived_cl21,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_cl17]) ).
thf(zip_derived_cl23,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_cl21]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X2 )
=> ( ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X4 )
=> ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X6 ) ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X2 )
| ( subset @ X4 @ X6 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( in @ X2 @ ( powerset @ X0 ) )
| ( subset @ ( setminus @ X0 @ X1 ) @ X2 )
| ( in @ ( '#sk3' @ X0 @ ( setminus @ X0 @ X1 ) @ X2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl27]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ ( powerset @ X0 ) )
| ( in @ ( '#sk3' @ X0 @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X2 ) @ X0 )
| ( subset @ ( setminus @ X0 @ ( setminus @ X0 @ X1 ) ) @ X2 )
| ~ ( in @ X2 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl32]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ X0 )
| ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ X0 ) @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl44]) ).
thf(zip_derived_cl74,plain,
( ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) @ '#sk1' )
| ~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl69]) ).
thf(zip_derived_cl19_003,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl77,plain,
in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) @ '#sk1',
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl19]) ).
thf(zip_derived_cl10_004,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl19_005,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X4 )
=> ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X6 ) )
| ( subset @ X4 @ X6 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X4 )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( subset @ X0 @ '#sk2' )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk3' @ '#sk1' @ X0 @ '#sk2' ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl29]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) @ '#sk2' ) @ ( setminus @ '#sk1' @ X0 ) )
| ( subset @ ( setminus @ '#sk1' @ X0 ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl35]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ ( setminus @ Y0 @ ( setminus @ Y0 @ Y1 ) ) )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
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 @ X2 )
=> ( ( in @ Y1 @ ( setminus @ X2 @ ( setminus @ X2 @ Y0 ) ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ ( setminus @ X2 @ ( setminus @ X2 @ X4 ) ) )
=> ( in @ Y0 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ ( setminus @ X2 @ ( setminus @ X2 @ X4 ) ) )
=> ( in @ Y0 @ X4 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ X6 @ X2 )
=> ( ( in @ X6 @ ( setminus @ X2 @ ( setminus @ X2 @ X4 ) ) )
=> ( in @ X6 @ X4 ) ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( ( in @ X6 @ ( setminus @ X2 @ ( setminus @ X2 @ X4 ) ) )
=> ( in @ X6 @ X4 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( setminus @ X2 @ ( setminus @ X2 @ X4 ) ) )
| ( in @ X6 @ X4 )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) ) @ '#sk2' )
| ~ ( in @ ( setminus @ '#sk1' @ X0 ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) ) @ '#sk2' ) @ '#sk1' )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) ) @ '#sk2' ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl26]) ).
thf(zip_derived_cl10_006,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) ) @ '#sk2' ) @ X0 )
| ~ ( in @ X0 @ ( powerset @ '#sk1' ) )
| ~ ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) ) @ '#sk2' ) @ '#sk1' )
| ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ X0 ) ) @ '#sk2' ) ),
inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl10]) ).
thf(zip_derived_cl86,plain,
( ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl85]) ).
thf(zip_derived_cl19_007,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl88,plain,
( ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) @ '#sk2' ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl19]) ).
thf(zip_derived_cl20_008,plain,
~ ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl90,plain,
in @ ( '#sk3' @ '#sk1' @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ) @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl88,zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ ( '#sk3' @ X2 @ X4 @ X6 ) @ X6 )
| ~ ( in @ X6 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( subset @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl91,plain,
( ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ~ ( in @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ ( powerset @ '#sk1' ) )
| ~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl30]) ).
thf(zip_derived_cl19_009,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl93,plain,
( ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ~ ( in @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ ( powerset @ '#sk1' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl19]) ).
thf(zip_derived_cl20_010,plain,
~ ( subset @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl95,plain,
~ ( in @ ( setminus @ '#sk1' @ ( setminus @ '#sk1' @ '#sk2' ) ) @ ( powerset @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl93,zip_derived_cl20]) ).
thf(zip_derived_cl10_011,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( in @ ( setminus @ X2 @ X4 ) @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl96,plain,
~ ( in @ ( setminus @ '#sk1' @ '#sk2' ) @ ( powerset @ '#sk1' ) ),
inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl10]) ).
thf(zip_derived_cl101,plain,
~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl96]) ).
thf(zip_derived_cl19_012,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl104,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU730^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mwNgCZCYSb true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:01:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.50/0.63 % Total configuration time : 828
% 0.50/0.63 % Estimated wc time : 1656
% 0.50/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.83 % Solved by lams/35_full_unif4.sh.
% 0.51/0.83 % done 41 iterations in 0.081s
% 0.51/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.83 % SZS output start Refutation
% See solution above
% 0.51/0.83
% 0.51/0.83
% 0.51/0.83 % Terminating...
% 0.56/0.92 % Runner terminated.
% 2.30/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------