TSTP Solution File: SEU643^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU643^2 : 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.SJUb5ldjit true
% Computer : n015.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 19:15:28 EDT 2023
% Result : Theorem 18.50s 3.05s
% Output : Refutation 18.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 63 ( 29 unt; 16 typ; 0 def)
% Number of atoms : 181 ( 66 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 816 ( 25 ~; 30 |; 17 &; 708 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 158 ( 79 ^; 62 !; 17 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(iskpair_type,type,
iskpair: $i > $o ).
thf(ex1_type,type,
ex1: $i > ( $i > $o ) > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(ex1I_type,type,
ex1I: $o ).
thf(sk__13_type,type,
sk__13: $i > ( $i > $o ) > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(sk__12_type,type,
sk__12: ( $i > $o ) > $i > $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(setukpairinjL1_type,type,
setukpairinjL1: $o ).
thf(singleton_type,type,
singleton: $i > $o ).
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('0',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(ex1I,axiom,
( ex1I
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( ! [Xy: $i] :
( ( in @ Xy @ A )
=> ( ( Xphi @ Xy )
=> ( Xy = Xx ) ) )
=> ( ex1 @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('1',plain,
( ex1I
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( X6 @ X10 )
=> ( X10 = X8 ) ) )
=> ( ex1 @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(ex1,axiom,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ) ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('3',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( ex1
= ( ^ [A: $i,Xphi: $i > $o] :
( singleton
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ex1,'3']) ).
thf('5',plain,
( ex1
= ( ^ [V_1: $i,V_2: $i > $o] :
( singleton
@ ( dsetconstr @ V_1
@ ^ [V_3: $i] : ( V_2 @ V_3 ) ) ) ) ),
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('6',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('7',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(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('8',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(kfstsingleton,conjecture,
( setadjoinIL
=> ( ex1I
=> ( setukpairinjL1
=> ! [Xu: $i] :
( ( iskpair @ Xu )
=> ( singleton
@ ( dsetconstr @ ( setunion @ Xu )
@ ^ [Xx: $i] : ( in @ ( setadjoin @ Xx @ emptyset ) @ Xu ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i > $o,X12: $i] :
( ( in @ X12 @ X8 )
=> ( ( X10 @ X12 )
=> ( ! [X14: $i] :
( ( in @ X14 @ X8 )
=> ( ( X10 @ X14 )
=> ( X14 = X12 ) ) )
=> ? [X16: $i] :
( ( ( dsetconstr @ X8
@ ^ [V_1: $i] : ( X10 @ V_1 ) )
= ( setadjoin @ X16 @ emptyset ) )
& ( in @ X16
@ ( dsetconstr @ X8
@ ^ [V_2: $i] : ( X10 @ V_2 ) ) ) ) ) ) )
=> ( ! [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_3: $i] : ( in @ ( setadjoin @ V_3 @ emptyset ) @ X24 ) )
= ( setadjoin @ X30 @ emptyset ) )
& ( in @ X30
@ ( dsetconstr @ ( setunion @ X24 )
@ ^ [V_4: $i] : ( in @ ( setadjoin @ V_4 @ emptyset ) @ X24 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i > $o,X12: $i] :
( ( in @ X12 @ X8 )
=> ( ( X10 @ X12 )
=> ( ! [X14: $i] :
( ( in @ X14 @ X8 )
=> ( ( X10 @ X14 )
=> ( X14 = X12 ) ) )
=> ? [X16: $i] :
( ( ( dsetconstr @ X8
@ ^ [V_1: $i] : ( X10 @ V_1 ) )
= ( setadjoin @ X16 @ emptyset ) )
& ( in @ X16
@ ( dsetconstr @ X8
@ ^ [V_2: $i] : ( X10 @ V_2 ) ) ) ) ) ) )
=> ( ! [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_3: $i] : ( in @ ( setadjoin @ V_3 @ emptyset ) @ X24 ) )
= ( setadjoin @ X30 @ emptyset ) )
& ( in @ X30
@ ( dsetconstr @ ( setunion @ X24 )
@ ^ [V_4: $i] : ( in @ ( setadjoin @ V_4 @ emptyset ) @ X24 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
( sk__14
= ( setadjoin @ ( setadjoin @ sk__15 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__15 @ ( setadjoin @ sk__16 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
in @ ( setadjoin @ sk__15 @ emptyset ) @ sk__14,
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
in @ sk__15 @ ( setunion @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X6: $i > $o,X7: $i,X8: $i] :
( ( ( dsetconstr @ X7
@ ^ [Y0: $i] : ( X6 @ Y0 ) )
= ( setadjoin @ ( sk__12 @ X6 @ X7 ) @ emptyset ) )
| ~ ( in @ X8 @ X7 )
| ( X6 @ ( sk__13 @ X8 @ X6 @ X7 ) )
| ~ ( X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl28,plain,
! [X6: $i > $o,X7: $i,X8: $i] :
( ( ( dsetconstr @ X7 @ X6 )
= ( setadjoin @ ( sk__12 @ X6 @ X7 ) @ emptyset ) )
| ~ ( in @ X8 @ X7 )
| ( X6 @ ( sk__13 @ X8 @ X6 @ X7 ) )
| ~ ( X6 @ X8 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl30,plain,
! [X0: $i > $o] :
( ~ ( X0 @ sk__15 )
| ( X0 @ ( sk__13 @ sk__15 @ X0 @ ( setunion @ sk__14 ) ) )
| ( ( dsetconstr @ ( setunion @ sk__14 ) @ X0 )
= ( setadjoin @ ( sk__12 @ X0 @ ( setunion @ sk__14 ) ) @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl28]) ).
thf(zip_derived_cl155,plain,
( ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] :
( in
@ ( ^ [Y1: $i] :
( setadjoin
@ ( ^ [Y2: $i] : Y2
@ Y1 )
@ ( ^ [Y2: $i] : emptyset
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: $i] : sk__14
@ Y0 ) ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] :
( in
@ ( ^ [Y1: $i] :
( setadjoin
@ ( ^ [Y2: $i] : Y2
@ Y1 )
@ ( ^ [Y2: $i] : emptyset
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: $i] : sk__14
@ Y0 ) )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ( ^ [Y0: $i] :
( in
@ ( ^ [Y1: $i] :
( setadjoin
@ ( ^ [Y2: $i] : Y2
@ Y1 )
@ ( ^ [Y2: $i] : emptyset
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: $i] : sk__14
@ Y0 ) )
@ ( sk__13 @ sk__15
@ ^ [Y0: $i] :
( in
@ ( ^ [Y1: $i] :
( setadjoin
@ ( ^ [Y2: $i] : Y2
@ Y1 )
@ ( ^ [Y2: $i] : emptyset
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: $i] : sk__14
@ Y0 ) )
@ ( setunion @ sk__14 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl30]) ).
thf(zip_derived_cl187,plain,
( ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ( in
@ ( setadjoin
@ ( sk__13 @ sk__15
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset )
@ sk__14 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl4_001,plain,
( sk__14
= ( setadjoin @ ( setadjoin @ sk__15 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__15 @ ( setadjoin @ sk__16 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( X3 = X2 )
| ~ ( in @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( in @ ( setadjoin @ X0 @ emptyset ) @ sk__14 )
| ( sk__15 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl2880,plain,
( ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ( sk__15
= ( sk__13 @ sk__15
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl15]) ).
thf(zip_derived_cl3_002,plain,
in @ sk__15 @ ( setunion @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X6: $i > $o,X7: $i,X8: $i] :
( ( ( dsetconstr @ X7
@ ^ [Y0: $i] : ( X6 @ Y0 ) )
= ( setadjoin @ ( sk__12 @ X6 @ X7 ) @ emptyset ) )
| ~ ( in @ X8 @ X7 )
| ( ( sk__13 @ X8 @ X6 @ X7 )
!= X8 )
| ~ ( X6 @ X8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl87,plain,
! [X6: $i > $o,X7: $i,X8: $i] :
( ( ( dsetconstr @ X7 @ X6 )
= ( setadjoin @ ( sk__12 @ X6 @ X7 ) @ emptyset ) )
| ~ ( in @ X8 @ X7 )
| ( ( sk__13 @ X8 @ X6 @ X7 )
!= X8 )
| ~ ( X6 @ X8 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl89,plain,
! [X0: $i > $o] :
( ~ ( X0 @ sk__15 )
| ( ( sk__13 @ sk__15 @ X0 @ ( setunion @ sk__14 ) )
!= sk__15 )
| ( ( dsetconstr @ ( setunion @ sk__14 ) @ X0 )
= ( setadjoin @ ( sk__12 @ X0 @ ( setunion @ sk__14 ) ) @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl87]) ).
thf(zip_derived_cl2906,plain,
( ( sk__15 != sk__15 )
| ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ~ ( ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2880,zip_derived_cl89]) ).
thf(zip_derived_cl2913,plain,
( ( sk__15 != sk__15 )
| ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ~ ( in @ ( setadjoin @ sk__15 @ emptyset ) @ sk__14 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2906]) ).
thf(zip_derived_cl12_003,plain,
in @ ( setadjoin @ sk__15 @ emptyset ) @ sk__14,
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2914,plain,
( ( sk__15 != sk__15 )
| ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) )
| ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2913,zip_derived_cl12]) ).
thf(zip_derived_cl2915,plain,
( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) ),
inference(simplify,[status(thm)],[zip_derived_cl2914]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2972,plain,
( in
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2915,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X5: $i] :
( ( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
!= ( setadjoin @ X5 @ emptyset ) )
| ~ ( in @ X5
@ ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2984,plain,
( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
!= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl2972,zip_derived_cl2]) ).
thf(zip_derived_cl2915_005,plain,
( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
= ( setadjoin
@ ( sk__12
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 )
@ ( setunion @ sk__14 ) )
@ emptyset ) ),
inference(simplify,[status(thm)],[zip_derived_cl2914]) ).
thf(zip_derived_cl3041,plain,
( ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) )
!= ( dsetconstr @ ( setunion @ sk__14 )
@ ^ [Y0: $i] : ( in @ ( setadjoin @ Y0 @ emptyset ) @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2984,zip_derived_cl2915]) ).
thf(zip_derived_cl3042,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU643^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SJUb5ldjit true
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 14:02:19 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /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
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 18.50/3.05 % Solved by lams/40_c.s.sh.
% 18.50/3.05 % done 239 iterations in 2.271s
% 18.50/3.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 18.50/3.05 % SZS output start Refutation
% See solution above
% 18.50/3.05
% 18.50/3.05
% 18.50/3.05 % Terminating...
% 18.51/3.10 % Runner terminated.
% 18.51/3.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------