%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU653^2 : 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.zP7HLJcmtu 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 Oct 2 04:55:34 PM UTC 2025
% Result : Theorem 0.56s 1.03s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 153 ( 117 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 690 ( 27 ~; 41 |; 0 &; 584 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 110 ( 0 ^; 110 !; 0 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__17_type,type,
sk__17: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setukpairinjR1_type,type,
setukpairinjR1: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(upairset2E_type,type,
upairset2E: $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(secondinupair_type,type,
secondinupair: $o ).
thf(setukpairinjL2_type,type,
setukpairinjL2: $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(upairequniteq_type,type,
upairequniteq: $o ).
thf(upairequniteq,axiom,
( upairequniteq
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xz @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('0',plain,
( upairequniteq
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) )
= ( setadjoin @ X8 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjR1,axiom,
( setukpairinjR1
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
=> ( ( Xz = Xu )
=> ( Xy = Xu ) ) ) ) ) ).
thf('1',plain,
( setukpairinjR1
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
=> ( ( X8 = X10 )
=> ( X6 = X10 ) ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjL2,axiom,
( setukpairinjL2
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
=> ( Xx = Xz ) ) ) ) ).
thf('2',plain,
( setukpairinjL2
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ emptyset ) ) )
=> ( X4 = X8 ) ) ) ),
define([status(thm)]) ).
thf(upairset2E,axiom,
( upairset2E
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ) ).
thf('3',plain,
( upairset2E
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ( X8 = X4 )
| ( X8 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(secondinupair,axiom,
( secondinupair
= ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('4',plain,
( secondinupair
= ( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjR2,conjecture,
( secondinupair
=> ( upairset2E
=> ( setukpairinjL2
=> ( setukpairinjR1
=> ( upairequniteq
=> ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
=> ( Xy = Xu ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) )
=> ( ( X12 = X8 )
| ( X12 = X10 ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i,X20: $i] :
( ( ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ ( setadjoin @ X20 @ emptyset ) ) @ emptyset ) ) )
=> ( X14 = X18 ) )
=> ( ! [X22: $i,X24: $i,X26: $i,X28: $i] :
( ( ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) )
=> ( ( X26 = X28 )
=> ( X24 = X28 ) ) )
=> ( ! [X30: $i,X32: $i,X34: $i] :
( ( ( setadjoin @ X30 @ ( setadjoin @ X32 @ emptyset ) )
= ( setadjoin @ X34 @ emptyset ) )
=> ( X30 = X32 ) )
=> ! [X36: $i,X38: $i,X40: $i,X42: $i] :
( ( ( setadjoin @ ( setadjoin @ X36 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ ( setadjoin @ X38 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X40 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X40 @ ( setadjoin @ X42 @ emptyset ) ) @ emptyset ) ) )
=> ( X38 = X42 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) )
=> ( ( X12 = X8 )
| ( X12 = X10 ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i,X20: $i] :
( ( ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X18 @ ( setadjoin @ X20 @ emptyset ) ) @ emptyset ) ) )
=> ( X14 = X18 ) )
=> ( ! [X22: $i,X24: $i,X26: $i,X28: $i] :
( ( ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) )
=> ( ( X26 = X28 )
=> ( X24 = X28 ) ) )
=> ( ! [X30: $i,X32: $i,X34: $i] :
( ( ( setadjoin @ X30 @ ( setadjoin @ X32 @ emptyset ) )
= ( setadjoin @ X34 @ emptyset ) )
=> ( X30 = X32 ) )
=> ! [X36: $i,X38: $i,X40: $i,X42: $i] :
( ( ( setadjoin @ ( setadjoin @ X36 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X36 @ ( setadjoin @ X38 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X40 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X40 @ ( setadjoin @ X42 @ emptyset ) ) @ emptyset ) ) )
=> ( X38 = X42 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
( ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sk__18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X2 )
| ( ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X5 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) )
| ( X1 = sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl1006,plain,
sk__16 = sk__18,
inference(eq_res,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl4_001,plain,
( ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sk__18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
in @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
! [X13: $i,X14: $i,X15: $i] :
( ( X14 = X13 )
| ( X14 = X15 )
| ~ ( in @ X14 @ ( setadjoin @ X15 @ ( setadjoin @ X13 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
( ( ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) )
= ( setadjoin @ sk__16 @ emptyset ) )
| ( ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) )
= ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl6]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
( ( in @ sk__19 @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) )
| ( ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) )
= ( setadjoin @ sk__16 @ emptyset ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl6_003,plain,
! [X13: $i,X14: $i,X15: $i] :
( ( X14 = X13 )
| ( X14 = X15 )
| ~ ( in @ X14 @ ( setadjoin @ X15 @ ( setadjoin @ X13 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl163,plain,
( ( ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) )
= ( setadjoin @ sk__16 @ emptyset ) )
| ( sk__19 = sk__16 )
| ( sk__19 = sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
sk__17 != sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl167,plain,
( ( ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) )
= ( setadjoin @ sk__16 @ emptyset ) )
| ( sk__19 = sk__16 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl163,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
! [X6: $i,X7: $i,X8: $i] :
( ( X7 = X6 )
| ( ( setadjoin @ X7 @ ( setadjoin @ X6 @ emptyset ) )
!= ( setadjoin @ X8 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl173,plain,
! [X0: $i] :
( ( ( setadjoin @ sk__16 @ emptyset )
!= ( setadjoin @ X0 @ emptyset ) )
| ( sk__19 = sk__16 )
| ( sk__18 = sk__19 ) ),
inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl2]) ).
thf(zip_derived_cl187,plain,
( ( sk__18 = sk__19 )
| ( sk__19 = sk__16 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl200,plain,
( ( sk__18 != sk__16 )
| ( sk__19 = sk__16 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_005,plain,
( ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sk__18 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_006,plain,
! [X13: $i,X14: $i,X15: $i] :
( ( X14 = X13 )
| ( X14 = X15 )
| ~ ( in @ X14 @ ( setadjoin @ X15 @ ( setadjoin @ X13 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) )
| ( X0
= ( setadjoin @ sk__18 @ emptyset ) )
| ( X0
= ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).
thf(zip_derived_cl458,plain,
( ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__18 @ ( setadjoin @ sk__19 @ emptyset ) ) )
| ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__18 @ emptyset ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).
thf(zip_derived_cl507,plain,
( ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__18 @ ( setadjoin @ sk__16 @ emptyset ) ) )
| ( sk__18 != sk__16 )
| ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__18 @ emptyset ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl458]) ).
thf(zip_derived_cl520,plain,
( ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__16 @ ( setadjoin @ sk__16 @ emptyset ) ) )
| ( sk__18 != sk__16 )
| ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__16 @ emptyset ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl507]) ).
thf(zip_derived_cl2_007,plain,
! [X6: $i,X7: $i,X8: $i] :
( ( X7 = X6 )
| ( ( setadjoin @ X7 @ ( setadjoin @ X6 @ emptyset ) )
!= ( setadjoin @ X8 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl700,plain,
( ( sk__18 != sk__16 )
| ( ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) )
= ( setadjoin @ sk__16 @ ( setadjoin @ sk__16 @ emptyset ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl520,zip_derived_cl2]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl717,plain,
( ( in @ sk__17 @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__16 @ emptyset ) ) )
| ( sk__18 != sk__16 ) ),
inference('sup+',[status(thm)],[zip_derived_cl700,zip_derived_cl0]) ).
thf(zip_derived_cl6_009,plain,
! [X13: $i,X14: $i,X15: $i] :
( ( X14 = X13 )
| ( X14 = X15 )
| ~ ( in @ X14 @ ( setadjoin @ X15 @ ( setadjoin @ X13 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl763,plain,
( ( sk__18 != sk__16 )
| ( sk__17 = sk__16 )
| ( sk__17 = sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl6]) ).
thf(zip_derived_cl769,plain,
( ( sk__17 = sk__16 )
| ( sk__18 != sk__16 ) ),
inference(simplify,[status(thm)],[zip_derived_cl763]) ).
thf(zip_derived_cl187_010,plain,
( ( sk__18 = sk__19 )
| ( sk__19 = sk__16 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl3_011,plain,
sk__17 != sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl199,plain,
( ( sk__17 != sk__18 )
| ( sk__19 = sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl3]) ).
thf(zip_derived_cl3_012,plain,
sk__17 != sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl212,plain,
( ( sk__17 != sk__16 )
| ( sk__17 != sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl3]) ).
thf(zip_derived_cl220,plain,
( ( sk__17 != sk__16 )
| ( sk__16 != sk__18 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl791,plain,
sk__18 != sk__16,
inference(clc,[status(thm)],[zip_derived_cl769,zip_derived_cl220]) ).
thf(zip_derived_cl1021,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1006,zip_derived_cl791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU653^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zP7HLJcmtu 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 : Wed Oct 1 16:09:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.54/0.65 % Total configuration time : 828
% 0.54/0.65 % Estimated wc time : 1656
% 0.54/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/1.03 % Solved by lams/40_c.s.sh.
% 0.56/1.03 % done 160 iterations in 0.282s
% 0.56/1.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/1.03 % SZS output start Refutation
% See solution above
% 0.56/1.04
% 0.56/1.04
% 0.56/1.04 % Terminating...
% 0.63/1.15 % Runner terminated.
% 0.63/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------