%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU690^2 : 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.PT7kOsx3DM true
% Computer : n013.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 04:55:47 PM UTC 2025
% Result : Theorem 0.53s 0.82s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 224 ( 18 equ; 0 cnn)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 971 ( 54 ~; 77 |; 0 &; 772 @)
% ( 0 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 112 ( 9 ^; 103 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
thf(subbreln_type,type,
subbreln: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(setextsub_type,type,
setextsub: $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(breln_type,type,
breln: $i > $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i > $i > $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subbreln,axiom,
( subbreln
= ( ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [S: $i] :
( ( breln @ A @ B @ S )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
=> ( subset @ R @ S ) ) ) ) ) ) ).
thf('0',plain,
( subbreln
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( breln @ X4 @ X6 @ X8 )
=> ! [X10: $i] :
( ( breln @ X4 @ X6 @ X10 )
=> ( ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X6 )
=> ( ( in @ ( kpair @ X12 @ X14 ) @ X8 )
=> ( in @ ( kpair @ X12 @ X14 ) @ X10 ) ) ) )
=> ( subset @ X8 @ X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(breln,axiom,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).
thf('1',plain,
( breln
= ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[breln]) ).
thf('2',plain,
( breln
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(setextsub,axiom,
( setextsub
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ A )
=> ( A = B ) ) ) ) ) ).
thf('3',plain,
( setextsub
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(eqbreln,conjecture,
( setextsub
=> ( subbreln
=> ! [A: $i,B: $i,R: $i] :
( ( breln @ A @ B @ R )
=> ! [S: $i] :
( ( breln @ A @ B @ S )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ R )
=> ( in @ ( kpair @ Xx @ Xy ) @ S ) ) ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( in @ ( kpair @ Xx @ Xy ) @ S )
=> ( in @ ( kpair @ Xx @ Xy ) @ R ) ) ) )
=> ( R = S ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( subset @ X12 @ ( cartprod @ X8 @ X10 ) )
=> ! [X14: $i] :
( ( subset @ X14 @ ( cartprod @ X8 @ X10 ) )
=> ( ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ( ( in @ ( kpair @ X16 @ X18 ) @ X12 )
=> ( in @ ( kpair @ X16 @ X18 ) @ X14 ) ) ) )
=> ( subset @ X12 @ X14 ) ) ) )
=> ! [X20: $i,X22: $i,X24: $i] :
( ( subset @ X24 @ ( cartprod @ X20 @ X22 ) )
=> ! [X26: $i] :
( ( subset @ X26 @ ( cartprod @ X20 @ X22 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ! [X30: $i] :
( ( in @ X30 @ X22 )
=> ( ( in @ ( kpair @ X28 @ X30 ) @ X24 )
=> ( in @ ( kpair @ X28 @ X30 ) @ X26 ) ) ) )
=> ( ! [X32: $i] :
( ( in @ X32 @ X20 )
=> ! [X34: $i] :
( ( in @ X34 @ X22 )
=> ( ( in @ ( kpair @ X32 @ X34 ) @ X26 )
=> ( in @ ( kpair @ X32 @ X34 ) @ X24 ) ) ) )
=> ( X24 = X26 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( subset @ X12 @ ( cartprod @ X8 @ X10 ) )
=> ! [X14: $i] :
( ( subset @ X14 @ ( cartprod @ X8 @ X10 ) )
=> ( ! [X16: $i] :
( ( in @ X16 @ X8 )
=> ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ( ( in @ ( kpair @ X16 @ X18 ) @ X12 )
=> ( in @ ( kpair @ X16 @ X18 ) @ X14 ) ) ) )
=> ( subset @ X12 @ X14 ) ) ) )
=> ! [X20: $i,X22: $i,X24: $i] :
( ( subset @ X24 @ ( cartprod @ X20 @ X22 ) )
=> ! [X26: $i] :
( ( subset @ X26 @ ( cartprod @ X20 @ X22 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X20 )
=> ! [X30: $i] :
( ( in @ X30 @ X22 )
=> ( ( in @ ( kpair @ X28 @ X30 ) @ X24 )
=> ( in @ ( kpair @ X28 @ X30 ) @ X26 ) ) ) )
=> ( ! [X32: $i] :
( ( in @ X32 @ X20 )
=> ! [X34: $i] :
( ( in @ X34 @ X22 )
=> ( ( in @ ( kpair @ X32 @ X34 ) @ X26 )
=> ( in @ ( kpair @ X32 @ X34 ) @ X24 ) ) ) )
=> ( X24 = X26 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ X1 )
| ( X1 = X0 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ( in @ ( kpair @ ( sk__8 @ X6 @ X9 @ X8 @ X7 ) @ ( sk__9 @ X6 @ X9 @ X8 @ X7 ) ) @ X9 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in @ ( kpair @ ( sk__8 @ sk__12 @ X0 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__12 @ X0 @ sk__11 @ sk__10 ) ) @ X0 )
| ( subset @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl8]) ).
thf(zip_derived_cl56,plain,
( ( subset @ sk__13 @ sk__12 )
| ( in @ ( kpair @ ( sk__8 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl49]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i] :
( ~ ( in @ X2 @ sk__11 )
| ( in @ ( kpair @ X3 @ X2 ) @ sk__12 )
| ~ ( in @ ( kpair @ X3 @ X2 ) @ sk__13 )
| ~ ( in @ X3 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl87,plain,
( ( subset @ sk__13 @ sk__12 )
| ~ ( in @ ( sk__8 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ sk__10 )
| ( in @ ( kpair @ ( sk__8 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) ) @ sk__12 )
| ~ ( in @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl2]) ).
thf(zip_derived_cl1_001,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_002,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ( in @ ( sk__8 @ X6 @ X9 @ X8 @ X7 ) @ X7 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in @ ( sk__8 @ sk__12 @ X0 @ sk__11 @ sk__10 ) @ sk__10 )
| ( subset @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).
thf(zip_derived_cl44,plain,
( ( subset @ sk__13 @ sk__12 )
| ( in @ ( sk__8 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl37]) ).
thf(zip_derived_cl123,plain,
( ~ ( in @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ sk__11 )
| ( in @ ( kpair @ ( sk__8 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) ) @ sk__12 )
| ( subset @ sk__13 @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl87,zip_derived_cl44]) ).
thf(zip_derived_cl1_003,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_004,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ( in @ ( sk__9 @ X6 @ X9 @ X8 @ X7 ) @ X8 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in @ ( sk__9 @ sk__12 @ X0 @ sk__11 @ sk__10 ) @ sk__11 )
| ( subset @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl32,plain,
( ( subset @ sk__13 @ sk__12 )
| ( in @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl23]) ).
thf(zip_derived_cl124,plain,
( ( subset @ sk__13 @ sk__12 )
| ( in @ ( kpair @ ( sk__8 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__12 @ sk__13 @ sk__11 @ sk__10 ) ) @ sk__12 ) ),
inference(clc,[status(thm)],[zip_derived_cl123,zip_derived_cl32]) ).
thf(zip_derived_cl7,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ~ ( in @ ( kpair @ ( sk__8 @ X6 @ X9 @ X8 @ X7 ) @ ( sk__9 @ X6 @ X9 @ X8 @ X7 ) ) @ X6 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl125,plain,
( ( subset @ sk__13 @ sk__12 )
| ~ ( subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( subset @ sk__13 @ sk__12 )
| ~ ( subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl7]) ).
thf(zip_derived_cl1_005,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_006,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl127,plain,
( ( subset @ sk__13 @ sk__12 )
| ( subset @ sk__13 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl128,plain,
subset @ sk__13 @ sk__12,
inference(simplify,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl133,plain,
( ( sk__13 = sk__12 )
| ~ ( subset @ sk__12 @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl128]) ).
thf(zip_derived_cl5_007,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_008,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_009,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ( in @ ( kpair @ ( sk__8 @ X6 @ X9 @ X8 @ X7 ) @ ( sk__9 @ X6 @ X9 @ X8 @ X7 ) ) @ X9 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in @ ( kpair @ ( sk__8 @ sk__13 @ X0 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__13 @ X0 @ sk__11 @ sk__10 ) ) @ X0 )
| ( subset @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl53,plain,
( ( subset @ sk__12 @ sk__13 )
| ( in @ ( kpair @ ( sk__8 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ ( sk__9 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl48]) ).
thf(zip_derived_cl4,plain,
! [X4: $i,X5: $i] :
( ~ ( in @ X4 @ sk__11 )
| ( in @ ( kpair @ X5 @ X4 ) @ sk__13 )
| ~ ( in @ ( kpair @ X5 @ X4 ) @ sk__12 )
| ~ ( in @ X5 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7_010,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ~ ( in @ ( kpair @ ( sk__8 @ X6 @ X9 @ X8 @ X7 ) @ ( sk__9 @ X6 @ X9 @ X8 @ X7 ) ) @ X6 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__8 @ sk__13 @ X2 @ X1 @ X0 ) @ sk__10 )
| ~ ( in @ ( kpair @ ( sk__8 @ sk__13 @ X2 @ X1 @ X0 ) @ ( sk__9 @ sk__13 @ X2 @ X1 @ X0 ) ) @ sk__12 )
| ~ ( in @ ( sk__9 @ sk__13 @ X2 @ X1 @ X0 ) @ sk__11 )
| ~ ( subset @ X2 @ ( cartprod @ X0 @ X1 ) )
| ( subset @ X2 @ sk__13 )
| ~ ( subset @ sk__13 @ ( cartprod @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl113,plain,
( ( subset @ sk__12 @ sk__13 )
| ~ ( subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( subset @ sk__12 @ sk__13 )
| ~ ( subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ) )
| ~ ( in @ ( sk__9 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__11 )
| ~ ( in @ ( sk__8 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl30]) ).
thf(zip_derived_cl1_011,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_012,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl115,plain,
( ( subset @ sk__12 @ sk__13 )
| ( subset @ sk__12 @ sk__13 )
| ~ ( in @ ( sk__9 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__11 )
| ~ ( in @ ( sk__8 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl116,plain,
( ~ ( in @ ( sk__8 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 )
| ~ ( in @ ( sk__9 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__11 )
| ( subset @ sk__12 @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl5_013,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_014,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9_015,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ( in @ ( sk__8 @ X6 @ X9 @ X8 @ X7 ) @ X7 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in @ ( sk__8 @ sk__13 @ X0 @ sk__11 @ sk__10 ) @ sk__10 )
| ( subset @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).
thf(zip_derived_cl41,plain,
( ( subset @ sk__12 @ sk__13 )
| ( in @ ( sk__8 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).
thf(zip_derived_cl119,plain,
( ( subset @ sk__12 @ sk__13 )
| ~ ( in @ ( sk__9 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__11 ) ),
inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl41]) ).
thf(zip_derived_cl5_016,plain,
subset @ sk__12 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_017,plain,
subset @ sk__13 @ ( cartprod @ sk__10 @ sk__11 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_018,plain,
! [X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( subset @ X6 @ ( cartprod @ X7 @ X8 ) )
| ( subset @ X9 @ X6 )
| ( in @ ( sk__9 @ X6 @ X9 @ X8 @ X7 ) @ X8 )
| ~ ( subset @ X9 @ ( cartprod @ X7 @ X8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ ( cartprod @ sk__10 @ sk__11 ) )
| ( in @ ( sk__9 @ sk__13 @ X0 @ sk__11 @ sk__10 ) @ sk__11 )
| ( subset @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
thf(zip_derived_cl27,plain,
( ( subset @ sk__12 @ sk__13 )
| ( in @ ( sk__9 @ sk__13 @ sk__12 @ sk__11 @ sk__10 ) @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl22]) ).
thf(zip_derived_cl120,plain,
subset @ sk__12 @ sk__13,
inference(clc,[status(thm)],[zip_derived_cl119,zip_derived_cl27]) ).
thf(zip_derived_cl139,plain,
sk__13 = sk__12,
inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl120]) ).
thf(zip_derived_cl3,plain,
sk__12 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl140,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl139,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU690^2 : TPTP v9.2.0. Released v3.7.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PT7kOsx3DM true
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:11:38 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.32 % Number of cores: 8
% 0.17/0.33 % Python version: Python 3.6.8
% 0.17/0.33 % Running in HO mode
% 0.50/0.63 % Total configuration time : 828
% 0.50/0.63 % Estimated wc time : 1656
% 0.50/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.82 % Solved by lams/40_c_ic.sh.
% 0.53/0.82 % done 55 iterations in 0.075s
% 0.53/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.82 % SZS output start Refutation
% See solution above
% 0.53/0.82
% 0.53/0.82
% 0.53/0.82 % Terminating...
% 2.05/0.95 % Runner terminated.
% 2.05/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------