TSTP Solution File: SEU367+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DxEmAZSash true
% Computer : n016.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 19:12:27 EDT 2023
% Result : Theorem 249.08s 36.33s
% Output : Refutation 249.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 34
% Syntax : Number of formulae : 158 ( 27 unt; 23 typ; 0 def)
% Number of atoms : 557 ( 6 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 2073 ( 292 ~; 347 |; 19 &;1359 @)
% ( 3 <=>; 21 =>; 32 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 6 con; 0-4 aty)
% Number of variables : 200 ( 0 ^; 197 !; 3 ?; 200 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(is_often_in_type,type,
is_often_in: $i > $i > $i > $o ).
thf(related_type,type,
related: $i > $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i > $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(is_eventually_in_type,type,
is_eventually_in: $i > $i > $i > $o ).
thf(net_str_type,type,
net_str: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(apply_netmap_type,type,
apply_netmap: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(t8_waybel_0,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty_carrier @ B )
& ( net_str @ B @ A ) )
=> ! [C: $i,D: $i] :
( ( subset @ C @ D )
=> ( ( ( is_eventually_in @ A @ B @ C )
=> ( is_eventually_in @ A @ B @ D ) )
& ( ( is_often_in @ A @ B @ C )
=> ( is_often_in @ A @ B @ D ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty_carrier @ B )
& ( net_str @ B @ A ) )
=> ! [C: $i,D: $i] :
( ( subset @ C @ D )
=> ( ( ( is_eventually_in @ A @ B @ C )
=> ( is_eventually_in @ A @ B @ D ) )
& ( ( is_often_in @ A @ B @ C )
=> ( is_often_in @ A @ B @ D ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t8_waybel_0]) ).
thf(zip_derived_cl79,plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
| ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
| ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl76,plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 )
| ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 )
| ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl77,plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 )
| ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
| ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(d11_waybel_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty_carrier @ B )
& ( net_str @ B @ A ) )
=> ! [C: $i] :
( ( is_eventually_in @ A @ B @ C )
<=> ? [D: $i] :
( ! [E: $i] :
( ( element @ E @ ( the_carrier @ B ) )
=> ( ( related @ B @ D @ E )
=> ( in @ ( apply_netmap @ A @ B @ E ) @ C ) ) )
& ( element @ D @ ( the_carrier @ B ) ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ( element @ ( sk_ @ X2 @ X3 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( is_eventually_in @ X1 @ X0 @ X3 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d11_waybel_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ( related @ X0 @ X2 @ ( sk_ @ X2 @ X3 @ X0 @ X1 ) )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( is_eventually_in @ X1 @ X0 @ X3 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d11_waybel_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_eventually_in @ X1 @ X0 @ X2 )
| ~ ( related @ X0 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X3 )
| ( in @ ( apply_netmap @ X1 @ X0 @ X3 ) @ X2 )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d11_waybel_0]) ).
thf(zip_derived_cl149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ( is_eventually_in @ X0 @ X1 @ X2 )
| ~ ( element @ ( sk__1 @ X4 @ X1 @ X3 ) @ ( the_carrier @ X1 ) )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X3 )
| ~ ( is_eventually_in @ X3 @ X1 @ X4 )
| ( in @ ( apply_netmap @ X3 @ X1 @ ( sk_ @ ( sk__1 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) ) @ X4 )
| ~ ( element @ ( sk_ @ ( sk__1 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X3 )
| ( empty_carrier @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( empty_carrier @ X3 )
| ~ ( one_sorted_str @ X3 )
| ~ ( element @ ( sk_ @ ( sk__1 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( in @ ( apply_netmap @ X3 @ X1 @ ( sk_ @ ( sk__1 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) ) @ X4 )
| ~ ( is_eventually_in @ X3 @ X1 @ X4 )
| ~ ( net_str @ X1 @ X3 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__1 @ X4 @ X1 @ X3 ) @ ( the_carrier @ X1 ) )
| ( is_eventually_in @ X0 @ X1 @ X2 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl75,plain,
subset @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl110,plain,
element @ sk__21 @ ( powerset @ sk__22 ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl67]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__21 )
| ( element @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl68]) ).
thf(zip_derived_cl589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ( is_eventually_in @ X0 @ X1 @ X2 )
| ~ ( element @ ( sk__1 @ sk__21 @ X1 @ X3 ) @ ( the_carrier @ X1 ) )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X3 )
| ~ ( is_eventually_in @ X3 @ X1 @ sk__21 )
| ~ ( element @ ( sk_ @ ( sk__1 @ sk__21 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X3 )
| ( empty_carrier @ X3 )
| ( element @ ( apply_netmap @ X3 @ X1 @ ( sk_ @ ( sk__1 @ sk__21 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) ) @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl157]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( in @ ( apply_netmap @ X1 @ X0 @ ( sk_ @ X2 @ X3 @ X0 @ X1 ) ) @ X3 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ( is_eventually_in @ X1 @ X0 @ X3 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d11_waybel_0]) ).
thf(zip_derived_cl170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ ( apply_netmap @ X1 @ X2 @ ( sk_ @ X3 @ X0 @ X2 @ X1 ) ) @ X0 )
| ( empty @ X0 )
| ( empty_carrier @ X2 )
| ~ ( net_str @ X2 @ X1 )
| ~ ( element @ X3 @ ( the_carrier @ X2 ) )
| ( is_eventually_in @ X1 @ X2 @ X0 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl5]) ).
thf(zip_derived_cl1016,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk_ @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( is_eventually_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( is_eventually_in @ X0 @ X1 @ sk__22 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 )
| ( empty @ sk__22 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( is_eventually_in @ X0 @ X1 @ sk__22 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl170]) ).
thf(zip_derived_cl110_001,plain,
element @ sk__21 @ ( powerset @ sk__22 ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl67]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) )
& ( empty @ C ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__21 )
| ~ ( empty @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl69]) ).
thf(zip_derived_cl121,plain,
( ~ ( empty @ sk__22 )
<= ~ ( empty @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl65_002,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl157_003,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__21 )
| ( element @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl68]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__21 )
| ( empty @ sk__21 )
| ( element @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl157]) ).
thf(zip_derived_cl259,plain,
( ! [X0: $i] :
( ( element @ X0 @ sk__22 )
| ~ ( element @ X0 @ sk__21 ) )
<= ! [X0: $i] :
( ( element @ X0 @ sk__22 )
| ~ ( element @ X0 @ sk__21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl65_004,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(antisymmetry_r2_hidden,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
~ ( in @ X0 @ X0 ),
inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ~ ( element @ X0 @ X0 )
| ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl90]) ).
thf(zip_derived_cl263,plain,
( ( ~ ( element @ sk__22 @ sk__21 )
| ( empty @ sk__22 ) )
<= ! [X0: $i] :
( ( element @ X0 @ sk__22 )
| ~ ( element @ X0 @ sk__21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl164]) ).
thf(zip_derived_cl266,plain,
( ( empty @ sk__22 )
<= ( empty @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl268,plain,
( ( sk__22 = empty_set )
<= ( empty @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl70]) ).
thf(zip_derived_cl83,plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 )
<= ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl275,plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ empty_set )
<= ( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 )
& ( empty @ sk__22 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl83]) ).
thf(zip_derived_cl65_005,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl120,plain,
( ! [X0: $i] :
~ ( in @ X0 @ sk__21 )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl168,plain,
( ! [X0: $i] :
( ~ ( element @ X0 @ sk__21 )
| ( empty @ sk__21 ) )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl120]) ).
thf(zip_derived_cl179,plain,
( ( empty @ sk__21 )
<= ( empty @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl168]) ).
thf(zip_derived_cl70_006,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl182,plain,
( ( sk__21 = empty_set )
<= ( empty @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl70]) ).
thf(zip_derived_cl78,plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
| ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
<= ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl187,plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ empty_set )
<= ( ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
& ( empty @ sk__21 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl182,zip_derived_cl86]) ).
thf('3',plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 )
| ~ ( empty @ sk__22 )
| ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
| ~ ( empty @ sk__21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl275,zip_derived_cl187]) ).
thf(zip_derived_cl84,plain,
( ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
<= ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( element @ ( sk__8 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(d12_waybel_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty_carrier @ B )
& ( net_str @ B @ A ) )
=> ! [C: $i] :
( ( is_often_in @ A @ B @ C )
<=> ! [D: $i] :
( ( element @ D @ ( the_carrier @ B ) )
=> ? [E: $i] :
( ( in @ ( apply_netmap @ A @ B @ E ) @ C )
& ( related @ B @ D @ E )
& ( element @ E @ ( the_carrier @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_often_in @ X1 @ X0 @ X2 )
| ( in @ ( apply_netmap @ X1 @ X0 @ ( sk__3 @ X3 @ X2 @ X0 @ X1 ) ) @ X2 )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d12_waybel_0]) ).
thf(zip_derived_cl120_007,plain,
( ! [X0: $i] :
~ ( in @ X0 @ sk__21 )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl209,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 ) )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl120]) ).
thf(zip_derived_cl221,plain,
( ! [X0: $i,X1: $i] :
( ( empty_carrier @ X1 )
| ~ ( one_sorted_str @ X1 )
| ~ ( is_often_in @ X1 @ X0 @ sk__21 )
| ~ ( net_str @ X0 @ X1 )
| ( empty_carrier @ X0 ) )
<= ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl209]) ).
thf(zip_derived_cl226,plain,
( ( ( empty_carrier @ sk__19 )
| ~ ( one_sorted_str @ sk__19 )
| ~ ( net_str @ sk__20 @ sk__19 )
| ( empty_carrier @ sk__20 ) )
<= ( ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
& ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl221]) ).
thf(zip_derived_cl73,plain,
~ ( empty_carrier @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
one_sorted_str @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
net_str @ sk__20 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
~ ( empty_carrier @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ~ ! [X0: $i] :
~ ( in @ X0 @ sk__21 )
| ~ ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl73,zip_derived_cl74,zip_derived_cl80,zip_derived_cl81]) ).
thf(zip_derived_cl178,plain,
( ! [X0: $i] :
~ ( element @ X0 @ sk__21 )
<= ! [X0: $i] :
~ ( element @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl168]) ).
thf(zip_derived_cl35_008,plain,
! [X0: $i] : ( element @ ( sk__8 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf('5',plain,
~ ! [X0: $i] :
~ ( element @ X0 @ sk__21 ),
inference('s_sup+',[status(thm)],[zip_derived_cl178,zip_derived_cl35]) ).
thf(zip_derived_cl268_009,plain,
( ( sk__22 = empty_set )
<= ( empty @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl70]) ).
thf(zip_derived_cl110_010,plain,
element @ sk__21 @ ( powerset @ sk__22 ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl67]) ).
thf(zip_derived_cl276,plain,
( ( element @ sk__21 @ ( powerset @ empty_set ) )
<= ( empty @ sk__22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl268,zip_derived_cl110]) ).
thf(zip_derived_cl69_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl293,plain,
( ! [X0: $i] :
( ~ ( in @ X0 @ sk__21 )
| ~ ( empty @ empty_set ) )
<= ( empty @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl276,zip_derived_cl69]) ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl40,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl296,plain,
( ! [X0: $i] :
~ ( in @ X0 @ sk__21 )
<= ( empty @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl40]) ).
thf(zip_derived_cl65_012,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl297,plain,
( ! [X0: $i] :
( ( empty @ sk__21 )
| ~ ( element @ X0 @ sk__21 ) )
<= ( empty @ sk__22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl65]) ).
thf('6',plain,
( ( empty @ sk__21 )
| ! [X0: $i] :
~ ( element @ X0 @ sk__21 )
| ~ ( empty @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl297]) ).
thf('7',plain,
( ~ ( empty @ sk__22 )
| ! [X0: $i] :
~ ( in @ X0 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf('8',plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
| ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf('9',plain,
~ ( empty @ sk__22 ),
inference('sat_resolution*',[status(thm)],['3','2','4','5','6','7','8']) ).
thf(zip_derived_cl339,plain,
~ ( empty @ sk__22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl121,'9']) ).
thf(zip_derived_cl1019,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk_ @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( is_eventually_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( is_eventually_in @ X0 @ X1 @ sk__22 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( is_eventually_in @ X0 @ X1 @ sk__22 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1016,zip_derived_cl339]) ).
thf(zip_derived_cl1020,plain,
! [X0: $i,X1: $i] :
( ( is_eventually_in @ X0 @ X1 @ sk__22 )
| ~ ( element @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( is_eventually_in @ X0 @ X1 @ sk__21 )
| ~ ( element @ ( sk_ @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1019]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_eventually_in @ X1 @ X0 @ X2 )
| ( element @ ( sk__1 @ X2 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d11_waybel_0]) ).
thf(zip_derived_cl1065,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk_ @ ( sk__1 @ sk__21 @ X1 @ X0 ) @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( is_eventually_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ( is_eventually_in @ X0 @ X1 @ sk__22 ) ),
inference(clc,[status(thm)],[zip_derived_cl1020,zip_derived_cl7]) ).
thf(zip_derived_cl1067,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X1 )
| ~ ( one_sorted_str @ X1 )
| ( is_eventually_in @ X1 @ X0 @ sk__22 )
| ~ ( element @ ( sk__1 @ sk__21 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ~ ( net_str @ X0 @ X1 )
| ( empty_carrier @ X0 )
| ( empty_carrier @ X1 )
| ~ ( one_sorted_str @ X1 )
| ~ ( is_eventually_in @ X1 @ X0 @ sk__21 )
| ~ ( net_str @ X0 @ X1 )
| ( empty_carrier @ X0 )
| ( is_eventually_in @ X1 @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1065]) ).
thf(zip_derived_cl1069,plain,
! [X0: $i,X1: $i] :
( ~ ( is_eventually_in @ X1 @ X0 @ sk__21 )
| ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( element @ ( sk__1 @ sk__21 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ( is_eventually_in @ X1 @ X0 @ sk__22 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1067]) ).
thf(zip_derived_cl7_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_eventually_in @ X1 @ X0 @ X2 )
| ( element @ ( sk__1 @ X2 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d11_waybel_0]) ).
thf(zip_derived_cl1238,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X1 )
| ~ ( one_sorted_str @ X1 )
| ( is_eventually_in @ X1 @ X0 @ sk__22 )
| ~ ( net_str @ X0 @ X1 )
| ( empty_carrier @ X0 )
| ~ ( is_eventually_in @ X1 @ X0 @ sk__21 ) ),
inference(clc,[status(thm)],[zip_derived_cl1069,zip_derived_cl7]) ).
thf(zip_derived_cl83_014,plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 )
<= ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl1239,plain,
( ( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
| ( empty_carrier @ sk__20 )
| ~ ( net_str @ sk__20 @ sk__19 )
| ~ ( one_sorted_str @ sk__19 )
| ( empty_carrier @ sk__19 ) )
<= ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1238,zip_derived_cl83]) ).
thf(zip_derived_cl81_015,plain,
~ ( empty_carrier @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_016,plain,
net_str @ sk__20 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_017,plain,
one_sorted_str @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_018,plain,
~ ( empty_carrier @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1240,plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
<= ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl1239,zip_derived_cl81,zip_derived_cl80,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl86_019,plain,
( ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
<= ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf('10',plain,
( ~ ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 )
| ( is_eventually_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1240,zip_derived_cl86]) ).
thf('11',plain,
( ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 )
| ( is_eventually_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl11_020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_often_in @ X1 @ X0 @ X2 )
| ( in @ ( apply_netmap @ X1 @ X0 @ ( sk__3 @ X3 @ X2 @ X0 @ X1 ) ) @ X2 )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d12_waybel_0]) ).
thf(zip_derived_cl157_021,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__21 )
| ( element @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl68]) ).
thf(zip_derived_cl210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ X2 @ ( the_carrier @ X1 ) )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ( element @ ( apply_netmap @ X0 @ X1 @ ( sk__3 @ X2 @ sk__21 @ X1 @ X0 ) ) @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl157]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_often_in @ X1 @ X0 @ X2 )
| ( related @ X0 @ X3 @ ( sk__3 @ X3 @ X2 @ X0 @ X1 ) )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d12_waybel_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( element @ X2 @ ( the_carrier @ X0 ) )
| ~ ( related @ X0 @ ( sk__2 @ X3 @ X0 @ X1 ) @ X2 )
| ~ ( in @ ( apply_netmap @ X1 @ X0 @ X2 ) @ X3 )
| ( is_often_in @ X1 @ X0 @ X3 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d12_waybel_0]) ).
thf(zip_derived_cl236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk__2 @ X4 @ X1 @ X3 ) @ ( the_carrier @ X1 ) )
| ~ ( is_often_in @ X0 @ X1 @ X2 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X3 )
| ~ ( element @ ( sk__3 @ ( sk__2 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( in @ ( apply_netmap @ X3 @ X1 @ ( sk__3 @ ( sk__2 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) ) @ X4 )
| ( is_often_in @ X3 @ X1 @ X4 )
| ~ ( one_sorted_str @ X3 )
| ( empty_carrier @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( empty_carrier @ X3 )
| ~ ( one_sorted_str @ X3 )
| ( is_often_in @ X3 @ X1 @ X4 )
| ~ ( in @ ( apply_netmap @ X3 @ X1 @ ( sk__3 @ ( sk__2 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) ) @ X4 )
| ~ ( element @ ( sk__3 @ ( sk__2 @ X4 @ X1 @ X3 ) @ X2 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( net_str @ X1 @ X3 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( is_often_in @ X0 @ X1 @ X2 )
| ~ ( element @ ( sk__2 @ X4 @ X1 @ X3 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl65_022,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl1227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( empty_carrier @ X1 )
| ~ ( one_sorted_str @ X1 )
| ~ ( element @ ( sk__2 @ X0 @ X2 @ X4 ) @ ( the_carrier @ X2 ) )
| ~ ( is_often_in @ X1 @ X2 @ X3 )
| ~ ( net_str @ X2 @ X1 )
| ( empty_carrier @ X2 )
| ~ ( net_str @ X2 @ X4 )
| ~ ( element @ ( sk__3 @ ( sk__2 @ X0 @ X2 @ X4 ) @ X3 @ X2 @ X1 ) @ ( the_carrier @ X2 ) )
| ( is_often_in @ X4 @ X2 @ X0 )
| ~ ( one_sorted_str @ X4 )
| ( empty_carrier @ X4 )
| ( empty @ X0 )
| ~ ( element @ ( apply_netmap @ X4 @ X2 @ ( sk__3 @ ( sk__2 @ X0 @ X2 @ X4 ) @ X3 @ X2 @ X1 ) ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl238,zip_derived_cl65]) ).
thf(zip_derived_cl7634,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( element @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 )
| ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__3 @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( is_often_in @ X0 @ X1 @ sk__22 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 )
| ( empty @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl1227]) ).
thf(zip_derived_cl339_023,plain,
~ ( empty @ sk__22 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl121,'9']) ).
thf(zip_derived_cl7647,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( element @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 )
| ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( element @ ( sk__3 @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( is_often_in @ X0 @ X1 @ sk__22 )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7634,zip_derived_cl339]) ).
thf(zip_derived_cl7648,plain,
! [X0: $i,X1: $i] :
( ( is_often_in @ X0 @ X1 @ sk__22 )
| ~ ( element @ ( sk__3 @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ sk__21 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( element @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl7647]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ~ ( is_often_in @ X1 @ X0 @ X2 )
| ( element @ ( sk__3 @ X3 @ X2 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ~ ( element @ X3 @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d12_waybel_0]) ).
thf(zip_derived_cl64471,plain,
! [X0: $i,X1: $i] :
( ( empty_carrier @ X1 )
| ~ ( net_str @ X1 @ X0 )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( element @ ( sk__2 @ sk__22 @ X1 @ X0 ) @ ( the_carrier @ X1 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 )
| ( is_often_in @ X0 @ X1 @ sk__22 ) ),
inference(clc,[status(thm)],[zip_derived_cl7648,zip_derived_cl13]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty_carrier @ X0 )
| ~ ( net_str @ X0 @ X1 )
| ( element @ ( sk__2 @ X2 @ X0 @ X1 ) @ ( the_carrier @ X0 ) )
| ( is_often_in @ X1 @ X0 @ X2 )
| ~ ( one_sorted_str @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d12_waybel_0]) ).
thf(zip_derived_cl64472,plain,
! [X0: $i,X1: $i] :
( ( is_often_in @ X0 @ X1 @ sk__22 )
| ( empty_carrier @ X0 )
| ~ ( one_sorted_str @ X0 )
| ~ ( is_often_in @ X0 @ X1 @ sk__21 )
| ~ ( net_str @ X1 @ X0 )
| ( empty_carrier @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl64471,zip_derived_cl9]) ).
thf(zip_derived_cl82,plain,
( ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 )
<= ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl64475,plain,
( ( ( empty_carrier @ sk__20 )
| ~ ( net_str @ sk__20 @ sk__19 )
| ~ ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
| ~ ( one_sorted_str @ sk__19 )
| ( empty_carrier @ sk__19 ) )
<= ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl64472,zip_derived_cl82]) ).
thf(zip_derived_cl81_024,plain,
~ ( empty_carrier @ sk__20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80_025,plain,
net_str @ sk__20 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_026,plain,
one_sorted_str @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_027,plain,
~ ( empty_carrier @ sk__19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl64479,plain,
( ~ ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
<= ~ ( is_often_in @ sk__19 @ sk__20 @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl64475,zip_derived_cl81,zip_derived_cl80,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl84_028,plain,
( ( is_often_in @ sk__19 @ sk__20 @ sk__21 )
<= ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf('12',plain,
( ( is_often_in @ sk__19 @ sk__20 @ sk__22 )
| ~ ( is_often_in @ sk__19 @ sk__20 @ sk__21 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl64479,zip_derived_cl84]) ).
thf(zip_derived_cl64524,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','10','11','12']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DxEmAZSash true
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 02:06:23 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.19/0.59 % Total configuration time : 435
% 0.19/0.59 % Estimated wc time : 1092
% 0.19/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 249.08/36.33 % Solved by fo/fo1_av.sh.
% 249.08/36.33 % done 15395 iterations in 35.611s
% 249.08/36.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 249.08/36.33 % SZS output start Refutation
% See solution above
% 249.08/36.34
% 249.08/36.34
% 249.08/36.34 % Terminating...
% 249.72/36.40 % Runner terminated.
% 249.72/36.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------