TSTP Solution File: SEU598^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU598^2 : 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.d7egFLXXh9 true
% Computer : n019.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 19:14:28 EDT 2023
% Result : Theorem 1.68s 0.87s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 74 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 309 ( 38 equ; 0 cnn)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 818 ( 31 ~; 25 |; 0 &; 561 @)
% ( 0 <=>; 126 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% ( 75 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 191 ( 75 ^; 116 !; 0 ?; 191 :)
% Comments :
%------------------------------------------------------------------------------
thf(binintersect_type,type,
binintersect: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(binintersectRsub_type,type,
binintersectRsub: $o ).
thf(subsetI1_type,type,
subsetI1: $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(setextsub_type,type,
setextsub: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(binintersectI_type,type,
binintersectI: $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $i ).
thf(binintersectRsub,axiom,
( binintersectRsub
= ( ! [A: $i,B: $i] : ( subset @ ( binintersect @ A @ B ) @ B ) ) ) ).
thf('0',plain,
( binintersectRsub
= ( ! [X4: $i,X6: $i] : ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) ) ),
define([status(thm)]) ).
thf(binintersectI,axiom,
( binintersectI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
thf('1',plain,
( binintersectI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setextsub,axiom,
( setextsub
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ A )
=> ( A = B ) ) ) ) ) ).
thf('2',plain,
( setextsub
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( 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('3',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('4',plain,
( subsetI1
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(binintersectSubset4,conjecture,
( subsetI1
=> ( subsetE
=> ( setextsub
=> ( binintersectI
=> ( binintersectRsub
=> ! [A: $i,B: $i] :
( ( subset @ B @ A )
=> ( ( binintersect @ A @ B )
= B ) ) ) ) ) ) ) ).
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] :
( ( subset @ X16 @ X18 )
=> ( ( subset @ X18 @ X16 )
=> ( X16 = X18 ) ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X24 @ X20 )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ ( binintersect @ X20 @ X22 ) ) ) )
=> ( ! [X26: $i,X28: $i] : ( subset @ ( binintersect @ X26 @ X28 ) @ X28 )
=> ! [X30: $i,X32: $i] :
( ( subset @ X32 @ X30 )
=> ( ( binintersect @ X30 @ X32 )
= X32 ) ) ) ) ) ) ) ).
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] :
( ( subset @ X16 @ X18 )
=> ( ( subset @ X18 @ X16 )
=> ( X16 = X18 ) ) )
=> ( ! [X20: $i,X22: $i,X24: $i] :
( ( in @ X24 @ X20 )
=> ( ( in @ X24 @ X22 )
=> ( in @ X24 @ ( binintersect @ X20 @ X22 ) ) ) )
=> ( ! [X26: $i,X28: $i] : ( subset @ ( binintersect @ X26 @ X28 ) @ X28 )
=> ! [X30: $i,X32: $i] :
( ( subset @ X32 @ X30 )
=> ( ( binintersect @ X30 @ X32 )
= X32 ) ) ) ) ) ) ),
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] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( binintersect @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ) ) ),
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] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( binintersect @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( binintersect @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( binintersect @ Y0 @ Y1 )
= Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y1 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( binintersect @ Y0 @ Y1 )
= Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ ( binintersect @ Y0 @ Y1 ) @ Y1 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( subset @ ( binintersect @ X2 @ Y0 ) @ Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] : ( subset @ ( binintersect @ X2 @ X4 ) @ X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( subset @ Y0 @ X2 )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ( subset @ X2 @ X4 )
=> ( ( subset @ X4 @ X2 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( subset @ X4 @ X2 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( subset @ X4 @ X2 )
| ( X2 = X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i] :
( ~ ( subset @ X4 @ X2 )
| ( X2 = X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ ( binintersect @ X1 @ X0 ) )
| ( X0
= ( binintersect @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
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_cl15,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21_001,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( binintersect @ Y0 @ Y1 )
= Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl27,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ '#sk2' )
=> ( ( binintersect @ '#sk2' @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl32,plain,
~ ( ( subset @ '#sk3' @ '#sk2' )
=> ( ( binintersect @ '#sk2' @ '#sk3' )
= '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl35,plain,
subset @ '#sk3' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
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_cl16,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_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( in @ X0 @ '#sk2' )
| ~ ( in @ X0 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl28]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( subset @ '#sk3' @ X0 )
| ( in @ ( '#sk1' @ '#sk3' @ X0 ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl61]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl13,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_cl9]) ).
thf(zip_derived_cl18,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_cl13]) ).
thf(zip_derived_cl25,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_cl18]) ).
thf(zip_derived_cl30,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_cl25]) ).
thf(zip_derived_cl34,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_cl30]) ).
thf(zip_derived_cl37,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_cl34]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ ( binintersect @ X1 @ X0 ) )
| ~ ( in @ ( '#sk1' @ X2 @ ( binintersect @ X1 @ X0 ) ) @ X1 )
| ~ ( in @ ( '#sk1' @ X2 @ ( binintersect @ X1 @ X0 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl37]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( subset @ '#sk3' @ ( binintersect @ '#sk2' @ X0 ) )
| ~ ( in @ ( '#sk1' @ '#sk3' @ ( binintersect @ '#sk2' @ X0 ) ) @ X0 )
| ( subset @ '#sk3' @ ( binintersect @ '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl46]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ~ ( in @ ( '#sk1' @ '#sk3' @ ( binintersect @ '#sk2' @ X0 ) ) @ X0 )
| ( subset @ '#sk3' @ ( binintersect @ '#sk2' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl101,plain,
( ( subset @ '#sk3' @ ( binintersect @ '#sk2' @ '#sk3' ) )
| ( subset @ '#sk3' @ ( binintersect @ '#sk2' @ '#sk3' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl93]) ).
thf(zip_derived_cl110,plain,
subset @ '#sk3' @ ( binintersect @ '#sk2' @ '#sk3' ),
inference(simplify,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl124,plain,
( '#sk3'
= ( binintersect @ '#sk2' @ '#sk3' ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl110]) ).
thf(zip_derived_cl36,plain,
( ( binintersect @ '#sk2' @ '#sk3' )
!= '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl38,plain,
( ( binintersect @ '#sk2' @ '#sk3' )
!= '#sk3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl129,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl124,zip_derived_cl38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU598^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d7egFLXXh9 true
% 0.11/0.35 % Computer : n019.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Aug 24 01:42:43 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Running portfolio for 300 s
% 0.11/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Number of cores: 8
% 0.11/0.35 % Python version: Python 3.6.8
% 0.11/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.68/0.87 % Solved by lams/35_full_unif4.sh.
% 1.68/0.87 % done 29 iterations in 0.061s
% 1.68/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.68/0.87 % SZS output start Refutation
% See solution above
% 1.68/0.87
% 1.68/0.87
% 1.68/0.87 % Terminating...
% 2.55/0.96 % Runner terminated.
% 2.55/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------