TSTP Solution File: SEU645^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU645^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1ddNlFv6UV true
% Computer : n029.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 19:15:29 EDT 2023
% Result : Theorem 16.60s 2.76s
% Output : Refutation 16.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 39
% Syntax : Number of formulae : 96 ( 56 unt; 19 typ; 0 def)
% Number of atoms : 206 ( 76 equ; 0 cnn)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1817 ( 32 ~; 27 |; 21 &;1706 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 214 ( 47 ^; 146 !; 21 ?; 214 :)
% Comments :
%------------------------------------------------------------------------------
thf(setukpairinjL1_type,type,
setukpairinjL1: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(kfst_type,type,
kfst: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(theprop_type,type,
theprop: $o ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(iskpair_type,type,
iskpair: $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(kfstsingleton_type,type,
kfstsingleton: $o ).
thf(kpairp_type,type,
kpairp: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(kfst,axiom,
( kfst
= ( ^ [Xu: $i] :
( setunion
@ ( dsetconstr @ ( setunion @ Xu )
@ ^ [Xx: $i] : ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ) ).
thf('0',plain,
( kfst
= ( ^ [Xu: $i] :
( setunion
@ ( dsetconstr @ ( setunion @ Xu )
@ ^ [Xx: $i] : ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[kfst]) ).
thf('1',plain,
( kfst
= ( ^ [V_1: $i] :
( setunion
@ ( dsetconstr @ ( setunion @ V_1 )
@ ^ [V_2: $i] : ( in @ ( setadjoin @ V_2 @ emptyset ) @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(theprop,axiom,
( theprop
= ( ! [X: $i] :
( ( singleton @ X )
=> ( in @ ( setunion @ X ) @ X ) ) ) ) ).
thf('2',plain,
( theprop
= ( ! [X4: $i] :
( ( singleton @ X4 )
=> ( in @ ( setunion @ X4 ) @ X4 ) ) ) ),
define([status(thm)]) ).
thf(kfstsingleton,axiom,
( kfstsingleton
= ( ! [Xu: $i] :
( ( iskpair @ Xu )
=> ( singleton
@ ( dsetconstr @ ( setunion @ Xu )
@ ^ [Xx: $i] : ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ) ) ).
thf('3',plain,
( kfstsingleton
= ( ! [X4: $i] :
( ( iskpair @ X4 )
=> ( singleton
@ ( dsetconstr @ ( setunion @ X4 )
@ ^ [V_1: $i] : ( in @ ( setadjoin @ V_1 @ emptyset ) @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjL1,axiom,
( setukpairinjL1
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
=> ( Xx = Xz ) ) ) ) ).
thf('4',plain,
( setukpairinjL1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) )
=> ( X4 = X8 ) ) ) ),
define([status(thm)]) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('5',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('6',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(kpairp,axiom,
( kpairp
= ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).
thf('7',plain,
( kpairp
= ( ! [X4: $i,X6: $i] : ( iskpair @ ( kpair @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(kpair,axiom,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
thf('8',plain,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[kpair]) ).
thf('9',plain,
( kpair
= ( ^ [V_1: $i,V_2: $i] : ( setadjoin @ ( setadjoin @ V_1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) ),
define([status(thm)]) ).
thf(iskpair,axiom,
( iskpair
= ( ^ [A: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( A
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
& ( in @ Xy @ ( setunion @ A ) ) )
& ( in @ Xx @ ( setunion @ A ) ) ) ) ) ).
thf('10',plain,
( iskpair
= ( ^ [A: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( A
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
& ( in @ Xy @ ( setunion @ A ) ) )
& ( in @ Xx @ ( setunion @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iskpair]) ).
thf('11',plain,
( iskpair
= ( ^ [V_1: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_1
= ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X6 @ ( setunion @ V_1 ) ) )
& ( in @ X4 @ ( setunion @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('12',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(kfstpairEq,conjecture,
( dsetconstrER
=> ( kpairp
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ! [Xx: $i,Xy: $i] :
( ( kfst @ ( kpair @ Xx @ Xy ) )
= Xx ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ( ! [X10: $i,X12: $i] :
? [X14: $i] :
( ? [X16: $i] :
( ( ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X16 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
& ( in @ X14 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ ( setadjoin @ X20 @ emptyset ) ) @ emptyset ) ) )
=> ( X18 = X22 ) )
=> ( ! [X24: $i] :
( ? [X26: $i] :
( ? [X28: $i] :
( ( X24
= ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X28 @ ( setunion @ X24 ) ) )
& ( in @ X26 @ ( setunion @ X24 ) ) )
=> ? [X30: $i] :
( ( ( dsetconstr @ ( setunion @ X24 )
@ ^ [V_2: $i] : ( in @ ( setadjoin @ V_2 @ emptyset ) @ X24 ) )
= ( setadjoin @ X30 @ emptyset ) )
& ( in @ X30
@ ( dsetconstr @ ( setunion @ X24 )
@ ^ [V_3: $i] : ( in @ ( setadjoin @ V_3 @ emptyset ) @ X24 ) ) ) ) )
=> ( ! [X32: $i] :
( ? [X34: $i] :
( ( X32
= ( setadjoin @ X34 @ emptyset ) )
& ( in @ X34 @ X32 ) )
=> ( in @ ( setunion @ X32 ) @ X32 ) )
=> ! [X36: $i,X38: $i] :
( ( setunion
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X36 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ ( setadjoin @ X38 @ emptyset ) ) @ emptyset ) ) )
@ ^ [V_4: $i] : ( in @ ( setadjoin @ V_4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ ( setadjoin @ X38 @ emptyset ) ) @ emptyset ) ) ) ) )
= X36 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ( ! [X10: $i,X12: $i] :
? [X14: $i] :
( ? [X16: $i] :
( ( ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X16 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
& ( in @ X14 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
=> ( ! [X18: $i,X20: $i,X22: $i] :
( ( in @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ ( setadjoin @ X20 @ emptyset ) ) @ emptyset ) ) )
=> ( X18 = X22 ) )
=> ( ! [X24: $i] :
( ? [X26: $i] :
( ? [X28: $i] :
( ( X24
= ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X28 @ ( setunion @ X24 ) ) )
& ( in @ X26 @ ( setunion @ X24 ) ) )
=> ? [X30: $i] :
( ( ( dsetconstr @ ( setunion @ X24 )
@ ^ [V_2: $i] : ( in @ ( setadjoin @ V_2 @ emptyset ) @ X24 ) )
= ( setadjoin @ X30 @ emptyset ) )
& ( in @ X30
@ ( dsetconstr @ ( setunion @ X24 )
@ ^ [V_3: $i] : ( in @ ( setadjoin @ V_3 @ emptyset ) @ X24 ) ) ) ) )
=> ( ! [X32: $i] :
( ? [X34: $i] :
( ( X32
= ( setadjoin @ X34 @ emptyset ) )
& ( in @ X34 @ X32 ) )
=> ( in @ ( setunion @ X32 ) @ X32 ) )
=> ! [X36: $i,X38: $i] :
( ( setunion
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X36 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ ( setadjoin @ X38 @ emptyset ) ) @ emptyset ) ) )
@ ^ [V_4: $i] : ( in @ ( setadjoin @ V_4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ ( setadjoin @ X38 @ emptyset ) ) @ emptyset ) ) ) ) )
= X36 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
( ( setunion
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) ) ) )
!= sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X8: $i,X9: $i,X10: $i] :
( ( ( dsetconstr @ ( setunion @ X8 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ X8 ) )
= ( setadjoin @ ( sk__15 @ X8 ) @ emptyset ) )
| ~ ( in @ X9 @ ( setunion @ X8 ) )
| ( X8
!= ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X10 @ ( setunion @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl233,plain,
! [X9: $i,X10: $i] :
( ~ ( in @ X10 @ ( setunion @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) )
| ~ ( in @ X9 @ ( setunion @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) )
| ( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) )
= ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i] :
( ( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) )
= ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) )
| ~ ( in @ ( sk__13 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) )
| ~ ( in @ ( sk__14 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl233]) ).
thf(zip_derived_cl7_001,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_002,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_003,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X11: $i,X12: $i] : ( in @ ( sk__13 @ X11 @ X12 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_004,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X11: $i,X12: $i] : ( in @ ( sk__14 @ X11 @ X12 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl336,plain,
! [X0: $i,X1: $i] :
( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
= ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl349,plain,
( ( setunion @ ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) )
!= sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl336]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl26,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7_005,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X8: $i,X9: $i,X10: $i] :
( ( in @ ( sk__15 @ X8 )
@ ( dsetconstr @ ( setunion @ X8 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ X8 ) ) )
| ~ ( in @ X9 @ ( setunion @ X8 ) )
| ( X8
!= ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X10 @ ( setunion @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl450,plain,
! [X9: $i,X10: $i] :
( ~ ( in @ X10 @ ( setunion @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) )
| ~ ( in @ X9 @ ( setunion @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) )
| ( in @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X9 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl455,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) ) )
| ~ ( in @ ( sk__13 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) )
| ~ ( in @ ( sk__14 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X0 @ X1 ) @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl450]) ).
thf(zip_derived_cl7_006,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_007,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_008,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_009,plain,
! [X11: $i,X12: $i] : ( in @ ( sk__13 @ X11 @ X12 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_010,plain,
! [X11: $i,X12: $i] :
( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__13 @ X11 @ X12 ) @ ( setadjoin @ ( sk__14 @ X11 @ X12 ) @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_011,plain,
! [X11: $i,X12: $i] : ( in @ ( sk__14 @ X11 @ X12 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X11 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl471,plain,
! [X0: $i,X1: $i] :
( in @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl514,plain,
! [X0: $i,X1: $i] :
( ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl471]) ).
thf(zip_derived_cl527,plain,
! [X0: $i,X1: $i] : ( in @ ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl1,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( X4 = X3 )
| ~ ( in @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X5 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl534,plain,
! [X0: $i,X1: $i] :
( X1
= ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl1]) ).
thf(zip_derived_cl566,plain,
( ( setunion @ ( setadjoin @ sk__16 @ emptyset ) )
!= sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl534]) ).
thf(zip_derived_cl336_012,plain,
! [X0: $i,X1: $i] :
( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
= ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl26_013,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ X1 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) )
| ( ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl26]) ).
thf(zip_derived_cl421,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) )
| ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl351]) ).
thf(zip_derived_cl534_014,plain,
! [X0: $i,X1: $i] :
( X1
= ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl1]) ).
thf(zip_derived_cl958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( setadjoin @ X1 @ emptyset ) )
| ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl534]) ).
thf(zip_derived_cl1_015,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( X4 = X3 )
| ~ ( in @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X5 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl959,plain,
! [X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( setadjoin @ X1 @ emptyset ) )
| ( X1 = X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl958,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X6: $i,X7: $i] :
( ( in @ ( setunion @ X6 ) @ X6 )
| ~ ( in @ X7 @ X6 )
| ( X6
!= ( setadjoin @ X7 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X7: $i] :
( ~ ( in @ X7 @ ( setadjoin @ X7 @ emptyset ) )
| ( in @ ( setunion @ ( setadjoin @ X7 @ emptyset ) ) @ ( setadjoin @ X7 @ emptyset ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl973,plain,
! [X0: $i] :
( ( X0
= ( setunion @ ( setadjoin @ X0 @ emptyset ) ) )
| ~ ( in @ X0 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl9]) ).
thf(zip_derived_cl471_016,plain,
! [X0: $i,X1: $i] :
( in @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl534_017,plain,
! [X0: $i,X1: $i] :
( X1
= ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl1]) ).
thf(zip_derived_cl567,plain,
! [X0: $i,X1: $i] :
( in @ X1
@ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl534]) ).
thf(zip_derived_cl336_018,plain,
! [X0: $i,X1: $i] :
( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
= ( setadjoin @ ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl534_019,plain,
! [X0: $i,X1: $i] :
( X1
= ( sk__15 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl1]) ).
thf(zip_derived_cl565,plain,
! [X0: $i,X1: $i] :
( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) )
= ( setadjoin @ X1 @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl534]) ).
thf(zip_derived_cl2782,plain,
! [X1: $i] : ( in @ X1 @ ( setadjoin @ X1 @ emptyset ) ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl565]) ).
thf(zip_derived_cl2859,plain,
! [X0: $i] :
( X0
= ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(demod,[status(thm)],[zip_derived_cl973,zip_derived_cl2782]) ).
thf(zip_derived_cl2880,plain,
sk__16 != sk__16,
inference(demod,[status(thm)],[zip_derived_cl566,zip_derived_cl2859]) ).
thf(zip_derived_cl2881,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl2880]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU645^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1ddNlFv6UV true
% 0.13/0.34 % Computer : n029.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 01:55:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/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
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.40/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 16.60/2.76 % Solved by lams/40_c_ic.sh.
% 16.60/2.76 % done 165 iterations in 1.978s
% 16.60/2.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 16.60/2.76 % SZS output start Refutation
% See solution above
% 16.60/2.77
% 16.60/2.77
% 16.60/2.77 % Terminating...
% 16.60/2.91 % Runner terminated.
% 16.60/2.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------