%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU792^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RjJ7Uq53Ux true
% Computer : n003.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 04:56:24 PM UTC 2025
% Result : Theorem 0.57s 0.84s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 178 ( 53 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 892 ( 46 ~; 30 |; 0 &; 745 @)
% ( 0 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 104 ( 0 ^; 104 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(breln1unionCommutes_type,type,
breln1unionCommutes: $o ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(woz2Ex_type,type,
woz2Ex: $o ).
thf(woz2W_type,type,
woz2W: $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(breln1invset_type,type,
breln1invset: $i > $i > $i ).
thf(breln1compset_type,type,
breln1compset: $i > $i > $i > $i ).
thf(breln1compprop_type,type,
breln1compprop: $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(breln1invprop_type,type,
breln1invprop: $o ).
thf(woz2A_type,type,
woz2A: $o ).
thf(breln1_type,type,
breln1: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(woz2A,axiom,
( woz2A
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1compset @ A @ R @ T ) @ ( breln1compset @ A @ S @ T ) ) ) ) ) ) ) ) ).
thf('0',plain,
( woz2A
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ! [X10: $i] :
( ( breln1 @ X4 @ X10 )
=> ( ( breln1compset @ X4 @ ( binunion @ X6 @ X8 ) @ X10 )
= ( binunion @ ( breln1compset @ X4 @ X6 @ X10 ) @ ( breln1compset @ X4 @ X8 @ X10 ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(woz2W,axiom,
( woz2W
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( breln1invset @ A @ ( breln1compset @ A @ R @ S ) )
= ( breln1compset @ A @ ( breln1invset @ A @ S ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ).
thf('1',plain,
( woz2W
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ( ( breln1invset @ X4 @ ( breln1compset @ X4 @ X6 @ X8 ) )
= ( breln1compset @ X4 @ ( breln1invset @ X4 @ X8 ) @ ( breln1invset @ X4 @ X6 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(woz2Ex,axiom,
( woz2Ex
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( R
= ( breln1invset @ A @ ( breln1invset @ A @ R ) ) ) ) ) ) ).
thf('2',plain,
( woz2Ex
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ( X6
= ( breln1invset @ X4 @ ( breln1invset @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1unionCommutes,axiom,
( breln1unionCommutes
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( ( binunion @ R @ S )
= ( binunion @ S @ R ) ) ) ) ) ) ).
thf('3',plain,
( breln1unionCommutes
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ( ( binunion @ X6 @ X8 )
= ( binunion @ X8 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1compprop,axiom,
( breln1compprop
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ( breln1 @ A @ ( breln1compset @ A @ R @ S ) ) ) ) ) ) ).
thf('4',plain,
( breln1compprop
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ! [X8: $i] :
( ( breln1 @ X4 @ X8 )
=> ( breln1 @ X4 @ ( breln1compset @ X4 @ X6 @ X8 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln1invprop,axiom,
( breln1invprop
= ( ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ( breln1 @ A @ ( breln1invset @ A @ R ) ) ) ) ) ).
thf('5',plain,
( breln1invprop
= ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ( breln1 @ X4 @ ( breln1invset @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(woz2B,conjecture,
( breln1invprop
=> ( breln1compprop
=> ( breln1unionCommutes
=> ( woz2Ex
=> ( woz2W
=> ( woz2A
=> ! [A: $i,R: $i] :
( ( breln1 @ A @ R )
=> ! [S: $i] :
( ( breln1 @ A @ S )
=> ! [T: $i] :
( ( breln1 @ A @ T )
=> ( ( breln1compset @ A @ ( binunion @ R @ S ) @ T )
= ( binunion @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ S ) ) ) @ ( breln1invset @ A @ ( breln1compset @ A @ ( breln1invset @ A @ T ) @ ( breln1invset @ A @ R ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ( breln1 @ X4 @ ( breln1invset @ X4 @ X6 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( breln1 @ X8 @ X10 )
=> ! [X12: $i] :
( ( breln1 @ X8 @ X12 )
=> ( breln1 @ X8 @ ( breln1compset @ X8 @ X10 @ X12 ) ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ( ( binunion @ X16 @ X18 )
= ( binunion @ X18 @ X16 ) ) ) )
=> ( ! [X20: $i,X22: $i] :
( ( breln1 @ X20 @ X22 )
=> ( X22
= ( breln1invset @ X20 @ ( breln1invset @ X20 @ X22 ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( breln1 @ X24 @ X26 )
=> ! [X28: $i] :
( ( breln1 @ X24 @ X28 )
=> ( ( breln1invset @ X24 @ ( breln1compset @ X24 @ X26 @ X28 ) )
= ( breln1compset @ X24 @ ( breln1invset @ X24 @ X28 ) @ ( breln1invset @ X24 @ X26 ) ) ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( breln1 @ X30 @ X32 )
=> ! [X34: $i] :
( ( breln1 @ X30 @ X34 )
=> ! [X36: $i] :
( ( breln1 @ X30 @ X36 )
=> ( ( breln1compset @ X30 @ ( binunion @ X32 @ X34 ) @ X36 )
= ( binunion @ ( breln1compset @ X30 @ X32 @ X36 ) @ ( breln1compset @ X30 @ X34 @ X36 ) ) ) ) ) )
=> ! [X38: $i,X40: $i] :
( ( breln1 @ X38 @ X40 )
=> ! [X42: $i] :
( ( breln1 @ X38 @ X42 )
=> ! [X44: $i] :
( ( breln1 @ X38 @ X44 )
=> ( ( breln1compset @ X38 @ ( binunion @ X40 @ X42 ) @ X44 )
= ( binunion @ ( breln1invset @ X38 @ ( breln1compset @ X38 @ ( breln1invset @ X38 @ X44 ) @ ( breln1invset @ X38 @ X42 ) ) ) @ ( breln1invset @ X38 @ ( breln1compset @ X38 @ ( breln1invset @ X38 @ X44 ) @ ( breln1invset @ X38 @ X40 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( breln1 @ X4 @ X6 )
=> ( breln1 @ X4 @ ( breln1invset @ X4 @ X6 ) ) )
=> ( ! [X8: $i,X10: $i] :
( ( breln1 @ X8 @ X10 )
=> ! [X12: $i] :
( ( breln1 @ X8 @ X12 )
=> ( breln1 @ X8 @ ( breln1compset @ X8 @ X10 @ X12 ) ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( breln1 @ X14 @ X16 )
=> ! [X18: $i] :
( ( breln1 @ X14 @ X18 )
=> ( ( binunion @ X16 @ X18 )
= ( binunion @ X18 @ X16 ) ) ) )
=> ( ! [X20: $i,X22: $i] :
( ( breln1 @ X20 @ X22 )
=> ( X22
= ( breln1invset @ X20 @ ( breln1invset @ X20 @ X22 ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( breln1 @ X24 @ X26 )
=> ! [X28: $i] :
( ( breln1 @ X24 @ X28 )
=> ( ( breln1invset @ X24 @ ( breln1compset @ X24 @ X26 @ X28 ) )
= ( breln1compset @ X24 @ ( breln1invset @ X24 @ X28 ) @ ( breln1invset @ X24 @ X26 ) ) ) ) )
=> ( ! [X30: $i,X32: $i] :
( ( breln1 @ X30 @ X32 )
=> ! [X34: $i] :
( ( breln1 @ X30 @ X34 )
=> ! [X36: $i] :
( ( breln1 @ X30 @ X36 )
=> ( ( breln1compset @ X30 @ ( binunion @ X32 @ X34 ) @ X36 )
= ( binunion @ ( breln1compset @ X30 @ X32 @ X36 ) @ ( breln1compset @ X30 @ X34 @ X36 ) ) ) ) ) )
=> ! [X38: $i,X40: $i] :
( ( breln1 @ X38 @ X40 )
=> ! [X42: $i] :
( ( breln1 @ X38 @ X42 )
=> ! [X44: $i] :
( ( breln1 @ X38 @ X44 )
=> ( ( breln1compset @ X38 @ ( binunion @ X40 @ X42 ) @ X44 )
= ( binunion @ ( breln1invset @ X38 @ ( breln1compset @ X38 @ ( breln1invset @ X38 @ X44 ) @ ( breln1invset @ X38 @ X42 ) ) ) @ ( breln1invset @ X38 @ ( breln1compset @ X38 @ ( breln1invset @ X38 @ X44 ) @ ( breln1invset @ X38 @ X40 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
breln1 @ sk__17 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( breln1 @ X2 @ X3 )
| ( ( binunion @ X4 @ X3 )
= ( binunion @ X3 @ X4 ) )
| ~ ( breln1 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( breln1 @ sk__17 @ X0 )
| ( ( binunion @ X0 @ sk__19 )
= ( binunion @ sk__19 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( breln1 @ X8 @ X9 )
| ( ( breln1compset @ X8 @ ( binunion @ X10 @ X9 ) @ X11 )
= ( binunion @ ( breln1compset @ X8 @ X10 @ X11 ) @ ( breln1compset @ X8 @ X9 @ X11 ) ) )
| ~ ( breln1 @ X8 @ X11 )
| ~ ( breln1 @ X8 @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X14: $i,X15: $i,X16: $i] :
( ~ ( breln1 @ X14 @ X15 )
| ( breln1 @ X14 @ ( breln1compset @ X14 @ X16 @ X15 ) )
| ~ ( breln1 @ X14 @ X16 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X12: $i,X13: $i] :
( ( X13
= ( breln1invset @ X12 @ ( breln1invset @ X12 @ X13 ) ) )
| ~ ( breln1 @ X12 @ X13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( breln1 @ X5 @ X6 )
| ( ( breln1invset @ X5 @ ( breln1compset @ X5 @ X7 @ X6 ) )
= ( breln1compset @ X5 @ ( breln1invset @ X5 @ X6 ) @ ( breln1invset @ X5 @ X7 ) ) )
| ~ ( breln1 @ X5 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9_001,plain,
! [X14: $i,X15: $i,X16: $i] :
( ~ ( breln1 @ X14 @ X15 )
| ( breln1 @ X14 @ ( breln1compset @ X14 @ X16 @ X15 ) )
| ~ ( breln1 @ X14 @ X16 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_002,plain,
! [X12: $i,X13: $i] :
( ( X13
= ( breln1invset @ X12 @ ( breln1invset @ X12 @ X13 ) ) )
| ~ ( breln1 @ X12 @ X13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_003,plain,
! [X5: $i,X6: $i,X7: $i] :
( ~ ( breln1 @ X5 @ X6 )
| ( ( breln1invset @ X5 @ ( breln1compset @ X5 @ X7 @ X6 ) )
= ( breln1compset @ X5 @ ( breln1invset @ X5 @ X6 ) @ ( breln1invset @ X5 @ X7 ) ) )
| ~ ( breln1 @ X5 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__19 ) ) ) @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__18 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38,plain,
( ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1invset @ sk__17 @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) ) ) @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__18 ) ) ) ) )
| ~ ( breln1 @ sk__17 @ sk__19 )
| ~ ( breln1 @ sk__17 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl3_004,plain,
breln1 @ sk__17 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
breln1 @ sk__17 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1invset @ sk__17 @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) ) ) @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__18 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl69,plain,
( ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__18 ) ) ) ) )
| ~ ( breln1 @ sk__17 @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl46]) ).
thf(zip_derived_cl75,plain,
( ~ ( breln1 @ sk__17 @ sk__19 )
| ~ ( breln1 @ sk__17 @ sk__20 )
| ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__18 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl69]) ).
thf(zip_derived_cl3_005,plain,
breln1 @ sk__17 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_006,plain,
breln1 @ sk__17 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl77,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ ( breln1invset @ sk__17 @ sk__20 ) @ ( breln1invset @ sk__17 @ sk__18 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl114,plain,
( ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1invset @ sk__17 @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ sk__18 @ sk__20 ) ) ) ) )
| ~ ( breln1 @ sk__17 @ sk__18 )
| ~ ( breln1 @ sk__17 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl77]) ).
thf(zip_derived_cl6,plain,
breln1 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_007,plain,
breln1 @ sk__17 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl116,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1invset @ sk__17 @ ( breln1invset @ sk__17 @ ( breln1compset @ sk__17 @ sk__18 @ sk__20 ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl118,plain,
( ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1compset @ sk__17 @ sk__18 @ sk__20 ) ) )
| ~ ( breln1 @ sk__17 @ ( breln1compset @ sk__17 @ sk__18 @ sk__20 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl116]) ).
thf(zip_derived_cl122,plain,
( ~ ( breln1 @ sk__17 @ sk__18 )
| ~ ( breln1 @ sk__17 @ sk__20 )
| ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1compset @ sk__17 @ sk__18 @ sk__20 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl118]) ).
thf(zip_derived_cl6_008,plain,
breln1 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_009,plain,
breln1 @ sk__17 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl124,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( binunion @ ( breln1compset @ sk__17 @ sk__19 @ sk__20 ) @ ( breln1compset @ sk__17 @ sk__18 @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl6,zip_derived_cl5]) ).
thf(zip_derived_cl126,plain,
( ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( breln1compset @ sk__17 @ ( binunion @ sk__19 @ sk__18 ) @ sk__20 ) )
| ~ ( breln1 @ sk__17 @ sk__19 )
| ~ ( breln1 @ sk__17 @ sk__20 )
| ~ ( breln1 @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl124]) ).
thf(zip_derived_cl3_010,plain,
breln1 @ sk__17 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_011,plain,
breln1 @ sk__17 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_012,plain,
breln1 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl128,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( breln1compset @ sk__17 @ ( binunion @ sk__19 @ sk__18 ) @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl3,zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl130,plain,
( ( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 ) )
| ~ ( breln1 @ sk__17 @ sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl128]) ).
thf(zip_derived_cl6_013,plain,
breln1 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl134,plain,
( ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 )
!= ( breln1compset @ sk__17 @ ( binunion @ sk__18 @ sk__19 ) @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl6]) ).
thf(zip_derived_cl135,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU792^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RjJ7Uq53Ux true
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:08:23 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.55/0.65 % Total configuration time : 828
% 0.55/0.65 % Estimated wc time : 1656
% 0.55/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.84 % Solved by lams/40_noforms.sh.
% 0.57/0.84 % done 33 iterations in 0.056s
% 0.57/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.84 % SZS output start Refutation
% See solution above
% 0.57/0.84
% 0.57/0.84
% 0.57/0.84 % Terminating...
% 0.58/0.88 % Runner terminated.
% 0.58/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------