TSTP Solution File: SEU604^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU604^2 : 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.nUcNxYpvZJ true
% Computer : n012.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 19:14:36 EDT 2023
% Result : Theorem 0.93s 0.83s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 71 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 296 ( 35 equ; 9 cnn)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 761 ( 36 ~; 16 |; 0 &; 517 @)
% ( 0 <=>; 114 =>; 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 : 16 ( 12 usr; 11 con; 0-2 aty)
% ( 78 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 191 ( 78 ^; 113 !; 0 ?; 191 :)
% Comments :
%------------------------------------------------------------------------------
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(subsetemptysetimpeq_type,type,
subsetemptysetimpeq: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(setminusER_type,type,
setminusER: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(setminusEL_type,type,
setminusEL: $o ).
thf(setminusER,axiom,
( setminusER
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ) ) ).
thf('0',plain,
( setminusER
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ~ ( in @ X8 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setminusEL,axiom,
( setminusEL
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('1',plain,
( setminusEL
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setminus @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(subsetemptysetimpeq,axiom,
( subsetemptysetimpeq
= ( ! [A: $i] :
( ( subset @ A @ emptyset )
=> ( A = emptyset ) ) ) ) ).
thf('2',plain,
( subsetemptysetimpeq
= ( ! [X4: $i] :
( ( subset @ X4 @ emptyset )
=> ( X4 = emptyset ) ) ) ),
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(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('4',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setminusSubset2,conjecture,
( subsetI2
=> ( subsetE
=> ( subsetemptysetimpeq
=> ( setminusEL
=> ( setminusER
=> ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( setminus @ A @ B )
= emptyset ) ) ) ) ) ) ) ).
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] :
( ( subset @ X16 @ emptyset )
=> ( X16 = emptyset ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( setminus @ X18 @ X20 ) )
=> ( in @ X22 @ X18 ) )
=> ( ! [X24: $i,X26: $i,X28: $i] :
( ( in @ X28 @ ( setminus @ X24 @ X26 ) )
=> ~ ( in @ X28 @ X26 ) )
=> ! [X30: $i,X32: $i] :
( ( subset @ X30 @ X32 )
=> ( ( setminus @ X30 @ X32 )
= emptyset ) ) ) ) ) ) ) ).
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] :
( ( subset @ X16 @ emptyset )
=> ( X16 = emptyset ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( setminus @ X18 @ X20 ) )
=> ( in @ X22 @ X18 ) )
=> ( ! [X24: $i,X26: $i,X28: $i] :
( ( in @ X28 @ ( setminus @ X24 @ X26 ) )
=> ~ ( in @ X28 @ X26 ) )
=> ! [X30: $i,X32: $i] :
( ( subset @ X30 @ X32 )
=> ( ( setminus @ X30 @ X32 )
= emptyset ) ) ) ) ) ) ),
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] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( setminus @ Y0 @ Y1 )
= emptyset ) ) ) ) ) ) ) ) ),
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] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( setminus @ Y0 @ Y1 )
= emptyset ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( setminus @ Y0 @ Y1 )
= emptyset ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ( subset @ X2 @ emptyset )
=> ( X2 = emptyset ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ~ ( subset @ X2 @ emptyset )
| ( X2 = emptyset ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ~ ( subset @ X2 @ emptyset )
| ( X2 = emptyset ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( setminus @ Y0 @ Y1 )
= emptyset ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( setminus @ Y0 @ Y1 )
= emptyset ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( (~) @ ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setminus @ X2 @ Y0 ) )
=> ( (~) @ ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setminus @ X2 @ X4 ) )
=> ( (~) @ ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ ( setminus @ X2 @ X4 ) )
=> ( (~) @ ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( setminus @ X2 @ X4 ) )
| ~ ( in @ X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[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_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( '#sk1' @ ( setminus @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ ( setminus @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl21]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setminus @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setminus @ X2 @ Y0 ) )
=> ( in @ Y1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setminus @ X2 @ X4 ) )
=> ( in @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ ( setminus @ X2 @ X4 ) )
=> ( in @ X6 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( setminus @ X2 @ X4 ) )
| ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
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_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( '#sk1' @ ( setminus @ X1 @ X0 ) @ X2 ) @ X1 )
| ( subset @ ( setminus @ X1 @ X0 ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl21]) ).
thf(zip_derived_cl20,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( setminus @ Y0 @ Y1 )
= emptyset ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl27,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ '#sk2' @ Y0 )
=> ( ( setminus @ '#sk2' @ Y0 )
= emptyset ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl31,plain,
~ ( ( subset @ '#sk2' @ '#sk3' )
=> ( ( setminus @ '#sk2' @ '#sk3' )
= emptyset ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
subset @ '#sk2' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
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_cl38,plain,
! [X0: $i] :
( ( in @ X0 @ '#sk3' )
| ~ ( in @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( setminus @ '#sk2' @ X1 ) @ X0 )
| ( in @ ( '#sk1' @ ( setminus @ '#sk2' @ X1 ) @ X0 ) @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl38]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ( subset @ ( setminus @ '#sk2' @ '#sk3' ) @ X0 )
| ( subset @ ( setminus @ '#sk2' @ '#sk3' ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl73]) ).
thf(zip_derived_cl185,plain,
! [X0: $i] : ( subset @ ( setminus @ '#sk2' @ '#sk3' ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl196,plain,
( ( setminus @ '#sk2' @ '#sk3' )
= emptyset ),
inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl185]) ).
thf(zip_derived_cl35,plain,
( ( setminus @ '#sk2' @ '#sk3' )
!= emptyset ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl37,plain,
( ( setminus @ '#sk2' @ '#sk3' )
!= emptyset ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl200,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl196,zip_derived_cl37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU604^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nUcNxYpvZJ true
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 13:45:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.71 % Total configuration time : 828
% 0.21/0.71 % Estimated wc time : 1656
% 0.21/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.93/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.93/0.83 % Solved by lams/35_full_unif4.sh.
% 0.93/0.83 % done 69 iterations in 0.039s
% 0.93/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.93/0.83 % SZS output start Refutation
% See solution above
% 0.93/0.83
% 0.93/0.83
% 0.93/0.83 % Terminating...
% 1.58/0.88 % Runner terminated.
% 1.58/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------