%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU761^2 : 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.pSdMJ8Hqsg true
% Computer : n002.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 04:56:10 PM UTC 2025
% Result : Theorem 2.16s 2.89s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 278 ( 6 equ; 0 cnn)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 840 ( 29 ~; 13 |; 0 &; 597 @)
% ( 0 <=>; 139 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 9 con; 0-2 aty)
% ( 62 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 147 ( 62 ^; 85 !; 0 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(binintersectI_type,type,
binintersectI: $o ).
thf('#sk2_type',type,
'#sk2': $i > $i > $i ).
thf(binintersectI,axiom,
( binintersectI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('0',plain,
( binintersectI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ 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('1',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI1,axiom,
( subsetI1
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('2',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(woz13rule3,conjecture,
( subsetI1
=> ( subsetE
=> ( binintersectI
=> ! [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(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ X18 )
=> ( in @ X20 @ ( binintersect @ X16 @ X18 ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X22 ) )
=> ( ( subset @ X24 @ X26 )
=> ( ( subset @ X24 @ X28 )
=> ( subset @ X24 @ ( binintersect @ X26 @ X28 ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X16 )
=> ( ( in @ X20 @ X18 )
=> ( in @ X20 @ ( binintersect @ X16 @ X18 ) ) ) )
=> ! [X22: $i,X24: $i] :
( ( in @ X24 @ ( powerset @ X22 ) )
=> ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X22 ) )
=> ! [X28: $i] :
( ( in @ X28 @ ( powerset @ X22 ) )
=> ( ( subset @ X24 @ X26 )
=> ( ( subset @ X24 @ X28 )
=> ( subset @ X24 @ ( binintersect @ X26 @ X28 ) ) ) ) ) ) ) ) ) ),
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 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [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 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [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(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,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 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [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_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( !!
@ ^ [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_cl2]) ).
thf(zip_derived_cl8,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_cl5]) ).
thf(zip_derived_cl12,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_cl8]) ).
thf(zip_derived_cl16,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_cl12]) ).
thf(zip_derived_cl21,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_cl16]) ).
thf(zip_derived_cl25,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_cl21]) ).
thf(zip_derived_cl27,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_cl25]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ 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 ) ) )
=> ( subset @ 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 ) ) )
=> ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
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 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y0 @ Y2 )
=> ( subset @ Y0 @ ( binintersect @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
~ ( ( in @ '#sk3' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk3' @ Y0 )
=> ( ( subset @ '#sk3' @ Y1 )
=> ( subset @ '#sk3' @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk3' @ Y0 )
=> ( ( subset @ '#sk3' @ Y1 )
=> ( subset @ '#sk3' @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl26,plain,
~ ( ( in @ '#sk4' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk3' @ '#sk4' )
=> ( ( subset @ '#sk3' @ Y0 )
=> ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk3' @ '#sk4' )
=> ( ( subset @ '#sk3' @ Y0 )
=> ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
~ ( ( in @ '#sk5' @ ( powerset @ '#sk1' ) )
=> ( ( subset @ '#sk3' @ '#sk4' )
=> ( ( subset @ '#sk3' @ '#sk5' )
=> ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl32,plain,
~ ( ( subset @ '#sk3' @ '#sk4' )
=> ( ( subset @ '#sk3' @ '#sk5' )
=> ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
~ ( ( subset @ '#sk3' @ '#sk5' )
=> ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl36,plain,
~ ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl63,plain,
~ ( in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ ( binintersect @ '#sk4' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl36]) ).
thf(zip_derived_cl89,plain,
( ~ ( in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ '#sk4' )
| ~ ( in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl63]) ).
thf(zip_derived_cl33,plain,
subset @ '#sk3' @ '#sk4',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl36_001,plain,
~ ( subset @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl45,plain,
in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ '#sk3',
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl36]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ~ ( subset @ '#sk3' @ X0 )
| ( in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl24]) ).
thf(zip_derived_cl78,plain,
in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl51]) ).
thf(zip_derived_cl35,plain,
subset @ '#sk3' @ '#sk5',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl51_002,plain,
! [X0: $i] :
( ~ ( subset @ '#sk3' @ X0 )
| ( in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl24]) ).
thf(zip_derived_cl77,plain,
in @ ( '#sk2' @ '#sk3' @ ( binintersect @ '#sk4' @ '#sk5' ) ) @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl51]) ).
thf(zip_derived_cl93,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl78,zip_derived_cl77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.03 % Problem : SEU761^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/1.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pSdMJ8Hqsg true
% 0.13/1.54 % Computer : n002.cluster.edu
% 0.13/1.54 % Model : x86_64 x86_64
% 0.13/1.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/1.54 % Memory : 8042.1875MB
% 0.13/1.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/1.54 % CPULimit : 300
% 0.13/1.54 % WCLimit : 300
% 0.13/1.54 % DateTime : Wed Oct 1 16:07:54 EDT 2025
% 0.13/1.56 % CPUTime :
% 0.13/1.56 % Running portfolio for 300 s
% 0.13/1.56 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.57 % Number of cores: 8
% 0.19/1.59 % Python version: Python 3.6.8
% 0.19/1.60 % Running in HO mode
% 0.34/2.12 % Total configuration time : 828
% 0.34/2.12 % Estimated wc time : 1656
% 0.34/2.12 % Estimated cpu time (8 cpus) : 207.0
% 1.47/2.49 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.48/2.56 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.48/2.58 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.48/2.60 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.48/2.61 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.49/2.64 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.49/2.65 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.49/2.66 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 2.16/2.89 % Solved by lams/20_acsne_simpl.sh.
% 2.16/2.89 % done 27 iterations in 0.099s
% 2.16/2.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.16/2.89 % SZS output start Refutation
% See solution above
% 2.16/2.89
% 2.16/2.89
% 2.16/2.89 % Terminating...
% 2.48/3.08 % Runner terminated.
% 2.48/3.11 % Zipperpin 1.5 exiting
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