TSTP Solution File: SEU359+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.445FhpCHHC true
% Computer : n017.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 19:12:23 EDT 2023
% Result : Theorem 1.26s 0.84s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 31 unt; 14 typ; 0 def)
% Number of atoms : 411 ( 64 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1665 ( 249 ~; 265 |; 16 &;1109 @)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 91 ( 0 ^; 90 !; 1 ?; 91 :)
% 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(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_cl20,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_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_cl307,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_sup_of_relstr_set @ sk__6 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( X0
= ( join_on_relstr @ sk__6 @ X1 ) )
| ( element @ ( sk_ @ X0 @ X1 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl2]) ).
thf(zip_derived_cl20_001,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl305,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_sup_of_relstr_set @ sk__6 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( X0
= ( join_on_relstr @ sk__6 @ X1 ) )
| ( relstr_set_smaller @ sk__6 @ X1 @ ( sk_ @ X0 @ X1 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl20_002,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl306,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_sup_of_relstr_set @ sk__6 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( X0
= ( join_on_relstr @ sk__6 @ X1 ) )
| ~ ( related @ sk__6 @ X0 @ ( sk_ @ X0 @ X1 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
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(zip_derived_cl27,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 )
| ~ ( related @ sk__6 @ sk__7 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl352,plain,
! [X0: $i] :
( ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl20_003,plain,
rel_str @ 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_cl309,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_sup_of_relstr_set @ sk__6 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( relstr_set_smaller @ sk__6 @ X1 @ X0 )
| ( X0
!= ( join_on_relstr @ sk__6 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).
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_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_cl20_004,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ex_sup_of_relstr_set @ sk__6 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ X2 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ X2 )
| ~ ( relstr_set_smaller @ sk__6 @ X1 @ X2 )
| ( X0
!= ( join_on_relstr @ sk__6 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).
thf(zip_derived_cl385,plain,
! [X0: $i] :
( ~ ( 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
!= ( 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 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl308]) ).
thf(zip_derived_cl390,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 )
| ( X0
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( 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(simplify,[status(thm)],[zip_derived_cl385]) ).
thf(zip_derived_cl391,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ( related @ sk__6 @ X0 @ sk__9 )
| ( X0 != sk__7 )
| ~ ( 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(local_rewriting,[status(thm)],[zip_derived_cl390]) ).
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(zip_derived_cl309_005,plain,
! [X0: $i,X1: $i] :
( ~ ( ex_sup_of_relstr_set @ sk__6 @ X1 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) )
| ( relstr_set_smaller @ sk__6 @ X1 @ X0 )
| ( X0
!= ( join_on_relstr @ sk__6 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).
thf(zip_derived_cl339,plain,
( ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl309]) ).
thf(zip_derived_cl36,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl340,plain,
( ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl36]) ).
thf(zip_derived_cl341,plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ( element @ sk__9 @ ( the_carrier @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl340]) ).
thf(zip_derived_cl458,plain,
! [X0: $i] :
( ~ ( 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 != sk__7 )
| ( related @ sk__6 @ X0 @ sk__9 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl391,zip_derived_cl341]) ).
thf(zip_derived_cl461,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 )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ( sk__7 != sk__7 )
| ~ ( 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('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl458]) ).
thf(zip_derived_cl36_006,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl462,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 )
| ( sk__7 != sk__7 )
| ~ ( 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(demod,[status(thm)],[zip_derived_cl461,zip_derived_cl36]) ).
thf(zip_derived_cl463,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 ) ),
inference(simplify,[status(thm)],[zip_derived_cl462]) ).
thf(zip_derived_cl471,plain,
( ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl463]) ).
thf(zip_derived_cl36_007,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl474,plain,
( ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl471,zip_derived_cl36]) ).
thf(zip_derived_cl475,plain,
( ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl474]) ).
thf(zip_derived_cl20_008,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(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(zip_derived_cl275,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ sk__6 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ( element @ ( sk__4 @ X1 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl13]) ).
thf(zip_derived_cl313,plain,
! [X0: $i,X1: $i] :
( ( sk__6 != sk__6 )
| ( element @ ( sk__4 @ X1 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl275]) ).
thf(zip_derived_cl457,plain,
! [X0: $i,X1: $i] :
( ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ( element @ ( sk__4 @ X1 @ X0 @ sk__6 ) @ ( the_carrier @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl313]) ).
thf(zip_derived_cl20_009,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_010,plain,
antisymmetric_relstr @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl277,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ sk__6 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ( relstr_set_smaller @ sk__6 @ X0 @ ( sk__4 @ X1 @ X0 @ sk__6 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).
thf(zip_derived_cl319,plain,
! [X0: $i,X1: $i] :
( ( sk__6 != sk__6 )
| ( relstr_set_smaller @ sk__6 @ X0 @ ( sk__4 @ X1 @ X0 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl277]) ).
thf(zip_derived_cl490,plain,
! [X0: $i,X1: $i] :
( ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ( relstr_set_smaller @ sk__6 @ X0 @ ( sk__4 @ X1 @ X0 @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl319]) ).
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(zip_derived_cl20_011,plain,
rel_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_012,plain,
antisymmetric_relstr @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl276,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_str @ sk__6 )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ~ ( related @ sk__6 @ X1 @ ( sk__4 @ X1 @ X0 @ sk__6 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl14]) ).
thf(zip_derived_cl316,plain,
! [X0: $i,X1: $i] :
( ( sk__6 != sk__6 )
| ~ ( related @ sk__6 @ X1 @ ( sk__4 @ X1 @ X0 @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl276]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: $i] :
( ( ex_sup_of_relstr_set @ sk__6 @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ X0 @ X1 )
| ~ ( related @ sk__6 @ X1 @ ( sk__4 @ X1 @ X0 @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl316]) ).
thf(zip_derived_cl368,plain,
! [X0: $i] :
( ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( 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 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl361]) ).
thf(zip_derived_cl36_013,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl371,plain,
! [X0: $i] :
( ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( 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_cl368,zip_derived_cl36]) ).
thf(zip_derived_cl501,plain,
( ~ ( 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 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( element @ ( sk__4 @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl371]) ).
thf(zip_derived_cl36_014,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl504,plain,
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( element @ ( sk__4 @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl36]) ).
thf(zip_derived_cl505,plain,
( ~ ( element @ ( sk__4 @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl504]) ).
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_cl510,plain,
( ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( element @ ( sk__4 @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl505,zip_derived_cl34]) ).
thf(zip_derived_cl512,plain,
( ~ ( 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 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl510]) ).
thf(zip_derived_cl36_015,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl513,plain,
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ( ex_sup_of_relstr_set @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl512,zip_derived_cl36]) ).
thf(zip_derived_cl514,plain,
( ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl513]) ).
thf(zip_derived_cl34_016,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_cl517,plain,
ex_sup_of_relstr_set @ sk__6 @ sk__8,
inference(clc,[status(thm)],[zip_derived_cl514,zip_derived_cl34]) ).
thf(zip_derived_cl519,plain,
( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl517]) ).
thf(zip_derived_cl539,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 )
| ~ ( element @ sk__9 @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl352,zip_derived_cl519]) ).
thf(zip_derived_cl28,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 )
| ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl540,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(clc,[status(thm)],[zip_derived_cl539,zip_derived_cl28]) ).
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_cl541,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ X0 )
| ( related @ sk__6 @ sk__7 @ X0 )
| ~ ( element @ X0 @ ( the_carrier @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl540,zip_derived_cl26]) ).
thf(zip_derived_cl544,plain,
! [X0: $i] :
( ~ ( 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 )
| ~ ( 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('sup+',[status(thm)],[zip_derived_cl306,zip_derived_cl541]) ).
thf(zip_derived_cl36_017,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl546,plain,
! [X0: $i] :
( ~ ( relstr_set_smaller @ sk__6 @ X0 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ X0 ) )
| ~ ( 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(demod,[status(thm)],[zip_derived_cl544,zip_derived_cl36]) ).
thf(zip_derived_cl577,plain,
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ~ ( element @ ( sk_ @ sk__7 @ sk__8 @ sk__6 ) @ ( 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('sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl546]) ).
thf(zip_derived_cl36_018,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl517_019,plain,
ex_sup_of_relstr_set @ sk__6 @ sk__8,
inference(clc,[status(thm)],[zip_derived_cl514,zip_derived_cl34]) ).
thf(zip_derived_cl517_020,plain,
ex_sup_of_relstr_set @ sk__6 @ sk__8,
inference(clc,[status(thm)],[zip_derived_cl514,zip_derived_cl34]) ).
thf(zip_derived_cl581,plain,
( ~ ( 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 )
| ~ ( element @ ( sk_ @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl36,zip_derived_cl517,zip_derived_cl517]) ).
thf(zip_derived_cl582,plain,
( ~ ( element @ ( sk_ @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl581]) ).
thf(zip_derived_cl519_021,plain,
( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl517]) ).
thf(zip_derived_cl583,plain,
( ~ ( element @ ( sk_ @ sk__7 @ sk__8 @ sk__6 ) @ ( the_carrier @ sk__6 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl582,zip_derived_cl519]) ).
thf(zip_derived_cl591,plain,
( ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 )
| ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( element @ sk__7 @ ( the_carrier @ sk__6 ) )
| ~ ( ex_sup_of_relstr_set @ sk__6 @ sk__8 )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl583]) ).
thf(zip_derived_cl36_022,plain,
element @ sk__7 @ ( the_carrier @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl517_023,plain,
ex_sup_of_relstr_set @ sk__6 @ sk__8,
inference(clc,[status(thm)],[zip_derived_cl514,zip_derived_cl34]) ).
thf(zip_derived_cl592,plain,
( ~ ( 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 ) ),
inference(demod,[status(thm)],[zip_derived_cl591,zip_derived_cl36,zip_derived_cl517]) ).
thf(zip_derived_cl593,plain,
( ( sk__7
= ( join_on_relstr @ sk__6 @ sk__8 ) )
| ~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl592]) ).
thf(zip_derived_cl519_024,plain,
( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl517]) ).
thf(zip_derived_cl594,plain,
~ ( relstr_set_smaller @ sk__6 @ sk__8 @ sk__7 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl593,zip_derived_cl519]) ).
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(zip_derived_cl519_025,plain,
( sk__7
!= ( join_on_relstr @ sk__6 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl517]) ).
thf(zip_derived_cl598,plain,
relstr_set_smaller @ sk__6 @ sk__8 @ sk__7,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl35,zip_derived_cl519]) ).
thf(zip_derived_cl603,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl594,zip_derived_cl598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.445FhpCHHC true
% 0.14/0.35 % Computer : n017.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 15:17:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.84 % Solved by fo/fo3_bce.sh.
% 1.26/0.84 % BCE start: 37
% 1.26/0.84 % BCE eliminated: 3
% 1.26/0.84 % PE start: 34
% 1.26/0.84 logic: eq
% 1.26/0.84 % PE eliminated: -9
% 1.26/0.84 % done 91 iterations in 0.075s
% 1.26/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.26/0.84 % SZS output start Refutation
% See solution above
% 1.26/0.84
% 1.26/0.84
% 1.26/0.84 % Terminating...
% 1.26/0.88 % Runner terminated.
% 1.26/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------