%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU359+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vYCGS2j7LI true
% Computer : n014.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 04:54:22 PM UTC 2025
% Result : Theorem 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 97 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 438 ( 65 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1819 ( 265 ~; 271 |; 17 &;1213 @)
% ( 2 <=>; 24 =>; 27 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 94 ( 0 ^; 93 !; 1 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(join_on_relstr_type,type,
join_on_relstr: $i > $i > $i ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(ex_sup_of_relstr_set_type,type,
ex_sup_of_relstr_set: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(relstr_set_smaller_type,type,
relstr_set_smaller: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(t15_yellow_0,axiom,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ex_sup_of_relstr_set @ A @ B )
<=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) )
& ( relstr_set_smaller @ A @ B @ C )
& ( element @ C @ ( the_carrier @ A ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( element @ ( sk__4 @ X0 @ X1 @ X2 ) @ ( the_carrier @ X2 ) )
| ~ ( relstr_set_smaller @ X2 @ X1 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ X2 ) )
| ( ex_sup_of_relstr_set @ X2 @ X1 )
| ~ ( rel_str @ X2 )
| ~ ( antisymmetric_relstr @ X2 ) ),
inference(cnf,[status(esa)],[t15_yellow_0]) ).
thf(t30_yellow_0,conjecture,
! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) )
=> ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) ) )
& ( ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) )
=> ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( antisymmetric_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) )
=> ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) ) )
& ( ( ( B
= ( join_on_relstr @ A @ C ) )
& ( ex_sup_of_relstr_set @ A @ C ) )
=> ( ( relstr_set_smaller @ A @ C @ B )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ C @ D )
=> ( related @ A @ B @ D ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t30_yellow_0]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( element @ sk__9 @ ( the_carrier @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
( ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) )
<= ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(d9_yellow_0,axiom,
! [A: $i] :
( ( rel_str @ A )
=> ! [B: $i,C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ex_sup_of_relstr_set @ A @ B )
=> ( ( C
= ( join_on_relstr @ A @ B ) )
<=> ( ( relstr_set_smaller @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ ( the_carrier @ A ) )
=> ( ( relstr_set_smaller @ A @ B @ D )
=> ( related @ A @ C @ D ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ( relstr_set_smaller @ X0 @ X1 @ ( sk_ @ X2 @ X1 @ X0 ) )
| ( X2
= ( join_on_relstr @ X0 @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d9_yellow_0]) ).
thf(zip_derived_cl49_001,plain,
( ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) )
<= ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ~ ( related @ X0 @ X2 @ ( sk_ @ X2 @ X1 @ X0 ) )
| ( X2
= ( join_on_relstr @ X0 @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d9_yellow_0]) ).
thf(zip_derived_cl70,plain,
( ! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( rel_str @ sk__6 ) )
<= ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1]) ).
thf(zip_derived_cl20,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl93,plain,
( ! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 ) )
<= ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl20]) ).
thf(zip_derived_cl94,plain,
( ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ( element @ ( sk_ @ X2 @ X1 @ X0 ) @ ( the_carrier @ X0 ) )
| ( X2
= ( join_on_relstr @ X0 @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d9_yellow_0]) ).
thf(zip_derived_cl96,plain,
( ! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( rel_str @ sk__6 ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl2]) ).
thf(zip_derived_cl20_002,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl20]) ).
thf(zip_derived_cl101,plain,
( ! [X0: $i] :
( ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl36,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
( ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl36]) ).
thf(zip_derived_cl129,plain,
( ( ~ ( rel_str @ sk__6 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl127]) ).
thf(zip_derived_cl20_003,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_004,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
( ( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl20,zip_derived_cl36]) ).
thf(zip_derived_cl131,plain,
( ( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) )
<= ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf('0',plain,
( ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl23,plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( join_on_relstr @ X0 @ X1 ) )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X3 )
| ( related @ X0 @ X2 @ X3 )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d9_yellow_0]) ).
thf(zip_derived_cl80,plain,
( ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ( related @ sk__6 @ X0 @ sk__9 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( rel_str @ sk__6 ) )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl3]) ).
thf(zip_derived_cl20_005,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
( ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ( related @ sk__6 @ X0 @ sk__9 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl20]) ).
thf(zip_derived_cl87,plain,
( ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 ) )
<= ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl22,plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( related @ sk__6 @ sk__7 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
( ~ ( related @ sk__6 @ sk__7 @ sk__9 )
<= ~ ( related @ sk__6 @ sk__7 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl90,plain,
( ( ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ) )
<= ( ~ ( related @ sk__6 @ sk__7 @ sk__9 )
& ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl41]) ).
thf('2',plain,
( ( related @ sk__6 @ sk__7 @ sk__9 )
| ~ ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl21,plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( element @ sk__9 @ ( the_carrier @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('4',plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( related @ sk__6 @ sk__7 @ sk__9 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf('5',plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf('6',plain,
( ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 ) )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl36_006,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( join_on_relstr @ X0 @ X1 ) )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X3 )
| ( related @ X0 @ X2 @ X3 )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d9_yellow_0]) ).
thf(zip_derived_cl79,plain,
( ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ( related @ sk__6 @ X0 @ sk__7 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( rel_str @ sk__6 ) )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl3]) ).
thf(zip_derived_cl20_008,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
( ! [X0: $i] :
( ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ( related @ sk__6 @ X0 @ sk__7 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl20]) ).
thf(zip_derived_cl84,plain,
( ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
<= ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf('7',plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl84]) ).
thf(zip_derived_cl35,plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl61,plain,
( ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
<= ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl36_009,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( join_on_relstr @ X0 @ X1 ) )
| ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 ) ),
inference(cnf,[status(esa)],[d9_yellow_0]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ( sk__7
!= ( join_on_relstr @ sk__6 @ X0 ) )
| ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( rel_str @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl4]) ).
thf(zip_derived_cl20_010,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( sk__7
!= ( join_on_relstr @ sk__6 @ X0 ) )
| ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl20]) ).
thf(zip_derived_cl148,plain,
( ( ( sk__7 != sk__7 )
| ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) )
<= ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl121]) ).
thf(zip_derived_cl149,plain,
( ( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) )
<= ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf('9',plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('10',plain,
( ! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ ( sk_ @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk_ @ sk__7 @ X0 @ sk__6 ) ) )
| ~ ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( ! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf('12',plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11']) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl49,'12']) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( related @ X0 @ X1 @ ( sk__4 @ X1 @ X2 @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X2 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( ex_sup_of_relstr_set @ X0 @ X2 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 ) ),
inference(cnf,[status(esa)],[t15_yellow_0]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) )
| ~ ( element @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( rel_str @ sk__6 )
| ~ ( antisymmetric_relstr @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl14]) ).
thf(zip_derived_cl36_011,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_012,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
antisymmetric_relstr @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) )
| ~ ( element @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl36,zip_derived_cl20,zip_derived_cl19]) ).
thf(zip_derived_cl191,plain,
! [X0: $i] :
( ~ ( antisymmetric_relstr @ sk__6 )
| ~ ( rel_str @ sk__6 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl187]) ).
thf(zip_derived_cl19_013,plain,
antisymmetric_relstr @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_014,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_015,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl19,zip_derived_cl20,zip_derived_cl36]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ ( sk__4 @ sk__7 @ X0 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relstr_set_smaller @ X0 @ X1 @ ( sk__4 @ X2 @ X1 @ X0 ) )
| ~ ( relstr_set_smaller @ X0 @ X1 @ X2 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( ex_sup_of_relstr_set @ X0 @ X1 )
| ~ ( rel_str @ X0 )
| ~ ( antisymmetric_relstr @ X0 ) ),
inference(cnf,[status(esa)],[t15_yellow_0]) ).
thf(zip_derived_cl202,plain,
( ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( rel_str @ sk__6 )
| ~ ( antisymmetric_relstr @ sk__6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl15]) ).
thf(zip_derived_cl40,plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
<= ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('13',plain,
~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10']) ).
thf(zip_derived_cl154,plain,
~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl40,'13']) ).
thf(zip_derived_cl62_016,plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
<= ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('14',plain,
( ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('15',plain,
relstr_set_smaller @ sk__6 @ sk__8 @ sk__7,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','14']) ).
thf(zip_derived_cl156,plain,
relstr_set_smaller @ sk__6 @ sk__8 @ sk__7,
inference(simpl_trail,[status(thm)],[zip_derived_cl62,'15']) ).
thf(zip_derived_cl156_017,plain,
relstr_set_smaller @ sk__6 @ sk__8 @ sk__7,
inference(simpl_trail,[status(thm)],[zip_derived_cl62,'15']) ).
thf(zip_derived_cl36_018,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl154_019,plain,
~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl40,'13']) ).
thf(zip_derived_cl20_020,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_021,plain,
antisymmetric_relstr @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl154,zip_derived_cl156,zip_derived_cl156,zip_derived_cl36,zip_derived_cl154,zip_derived_cl20,zip_derived_cl19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU359+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vYCGS2j7LI true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:12:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79 % Solved by fo/fo1_av.sh.
% 0.56/0.79 % done 88 iterations in 0.040s
% 0.56/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.79 % SZS output start Refutation
% See solution above
% 0.56/0.79
% 0.56/0.79
% 0.56/0.79 % Terminating...
% 0.56/0.85 % Runner terminated.
% 1.74/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------