%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT379+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GYJkdZTVXk 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 Oct 2 04:41:47 PM UTC 2025
% Result : Theorem 0.52s 0.99s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 135 ( 52 unt; 0 typ; 0 def)
% Number of atoms : 457 ( 13 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1870 ( 249 ~; 250 |; 43 &;1299 @)
% ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 35 usr; 6 con; 0-4 aty)
% Number of variables : 105 ( 0 ^; 104 !; 1 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v1_membered_type,type,
v1_membered: $i > $o ).
thf(k2_tarski_type,type,
k2_tarski: $i > $i > $i ).
thf(v13_waybel_0_type,type,
v13_waybel_0: $i > $i > $o ).
thf(v5_orders_2_type,type,
v5_orders_2: $i > $i > $o ).
thf(l1_struct_0_type,type,
l1_struct_0: $i > $o ).
thf(v4_waybel34_type,type,
v4_waybel34: $i > $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v12_waybel_0_type,type,
v12_waybel_0: $i > $i > $o ).
thf(v3_membered_type,type,
v3_membered: $i > $o ).
thf(v2_waybel_0_type,type,
v2_waybel_0: $i > $i > $o ).
thf(v5_membered_type,type,
v5_membered: $i > $o ).
thf(v1_waybel_0_type,type,
v1_waybel_0: $i > $i > $o ).
thf(v1_finset_1_type,type,
v1_finset_1: $i > $o ).
thf(k1_pre_topc_type,type,
k1_pre_topc: $i > $i ).
thf(v1_funct_2_type,type,
v1_funct_2: $i > $i > $i > $o ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(v4_membered_type,type,
v4_membered: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v2_membered_type,type,
v2_membered: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(r4_waybel_0_type,type,
r4_waybel_0: $i > $i > $i > $i > $o ).
thf(v20_waybel_0_type,type,
v20_waybel_0: $i > $i > $i > $o ).
thf(k2_struct_0_type,type,
k2_struct_0: $i > $i > $i > $i ).
thf(m2_relset_1_type,type,
m2_relset_1: $i > $i > $i > $o ).
thf(v5_waybel34_type,type,
v5_waybel34: $i > $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(dt_l1_orders_2,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( l1_struct_0 @ A ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_orders_2]) ).
thf(d2_pre_topc,axiom,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( ( k1_pre_topc @ A )
= k1_xboole_0 ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( ( k1_pre_topc @ X0 )
= k1_xboole_0 )
| ~ ( l1_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[d2_pre_topc]) ).
thf(zip_derived_cl575,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k1_pre_topc @ X0 )
= k1_xboole_0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl35]) ).
thf(zip_derived_cl42_001,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_orders_2]) ).
thf(dt_k1_pre_topc,axiom,
! [A: $i] :
( ( l1_struct_0 @ A )
=> ( m1_subset_1 @ ( k1_pre_topc @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_pre_topc]) ).
thf(zip_derived_cl576,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl40]) ).
thf(zip_derived_cl677,plain,
! [X0: $i] :
( ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl575,zip_derived_cl576]) ).
thf(zip_derived_cl680,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl677]) ).
thf(zip_derived_cl42_002,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_orders_2]) ).
thf(redefinition_k2_struct_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ( k2_struct_0 @ A @ B @ C )
= ( k2_tarski @ B @ C ) ) ) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_struct_0 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( ( k2_struct_0 @ X1 @ X0 @ X2 )
= ( k2_tarski @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k2_struct_0]) ).
thf(zip_derived_cl582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k2_struct_0 @ X0 @ X1 @ X2 )
= ( k2_tarski @ X1 @ X2 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl119]) ).
thf(zip_derived_cl42_003,plain,
! [X0: $i] :
( ( l1_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_orders_2]) ).
thf(dt_k2_struct_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_struct_0 @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k2_struct_0 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_struct_0 @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( m1_subset_1 @ ( k2_struct_0 @ X1 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[dt_k2_struct_0]) ).
thf(zip_derived_cl577,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( k2_struct_0 @ X0 @ X1 @ X2 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X0 ) )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl41]) ).
thf(t65_waybel34,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v4_waybel34 @ C @ A @ B )
=> ( ( v20_waybel_0 @ C @ A @ B )
& ( v5_waybel34 @ C @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v4_waybel34 @ C @ A @ B )
=> ( ( v20_waybel_0 @ C @ A @ B )
& ( v5_waybel34 @ C @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t65_waybel34]) ).
thf(zip_derived_cl129,plain,
v4_waybel34 @ sk__19 @ sk__17 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d15_waybel34,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v4_waybel34 @ C @ A @ B )
<=> ! [D: $i] :
( ( ( v1_finset_1 @ D )
& ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( r4_waybel_0 @ A @ B @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( v4_waybel34 @ X1 @ X2 @ X0 )
| ( r4_waybel_0 @ X2 @ X0 @ X1 @ X3 )
| ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X2 ) ) )
| ~ ( v1_finset_1 @ X3 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_orders_2 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[d15_waybel34]) ).
thf(zip_derived_cl567,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_finset_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ X0 )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl129,zip_derived_cl32]) ).
thf(zip_derived_cl123,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127,plain,
m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130,plain,
l1_orders_2 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl769,plain,
! [X0: $i] :
( ~ ( v1_finset_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl130,zip_derived_cl131]) ).
thf(zip_derived_cl575_004,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k1_pre_topc @ X0 )
= k1_xboole_0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl35]) ).
thf(d35_waybel_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v20_waybel_0 @ C @ A @ B )
<=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) )
=> ( r4_waybel_0 @ A @ B @ C @ ( k2_struct_0 @ A @ D @ E ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( r4_waybel_0 @ X1 @ X0 @ X2 @ ( k2_struct_0 @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) @ ( sk__2 @ X2 @ X0 @ X1 ) ) )
| ( v20_waybel_0 @ X2 @ X1 @ X0 )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d35_waybel_0]) ).
thf(d16_waybel34,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( ( v1_funct_1 @ C )
& ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
& ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( ( v5_waybel34 @ C @ A @ B )
<=> ( r4_waybel_0 @ A @ B @ C @ ( k1_pre_topc @ A ) ) ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( r4_waybel_0 @ X1 @ X0 @ X2 @ ( k1_pre_topc @ X1 ) )
| ( v5_waybel34 @ X2 @ X1 @ X0 )
| ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X2 )
| ~ ( l1_orders_2 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d16_waybel34]) ).
thf(zip_derived_cl128,plain,
( ~ ( v20_waybel_0 @ sk__19 @ sk__17 @ sk__18 )
| ~ ( v5_waybel34 @ sk__19 @ sk__17 @ sk__18 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl563,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( v20_waybel_0 @ sk__19 @ sk__17 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl128]) ).
thf(zip_derived_cl571,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( l1_orders_2 @ sk__18 )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( l1_orders_2 @ sk__17 )
| ( v3_struct_0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl563]) ).
thf(zip_derived_cl914,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l1_orders_2 @ sk__18 )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( l1_orders_2 @ sk__17 )
| ( v3_struct_0 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl571]) ).
thf(zip_derived_cl131_005,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_006,plain,
l1_orders_2 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_007,plain,
m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_008,plain,
v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125_009,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124_010,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123_011,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl915,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl914,zip_derived_cl131,zip_derived_cl130,zip_derived_cl127,zip_derived_cl126,zip_derived_cl125,zip_derived_cl124,zip_derived_cl123]) ).
thf(zip_derived_cl769_012,plain,
! [X0: $i] :
( ~ ( v1_finset_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl130,zip_derived_cl131]) ).
thf(zip_derived_cl919,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( m1_subset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl915,zip_derived_cl769]) ).
thf(zip_derived_cl1155,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ k1_xboole_0 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( m1_subset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl919]) ).
thf(zip_derived_cl124_013,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1160,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ k1_xboole_0 )
| ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( m1_subset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1155,zip_derived_cl124]) ).
thf(zip_derived_cl1199,plain,
( ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( v1_finset_1 @ k1_xboole_0 )
| ~ ( m1_subset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl1160]) ).
thf(existence_l1_orders_2,axiom,
? [A: $i] : ( l1_orders_2 @ A ) ).
thf(zip_derived_cl44,plain,
l1_orders_2 @ sk__3,
inference(cnf,[status(esa)],[existence_l1_orders_2]) ).
thf(zip_derived_cl575_014,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k1_pre_topc @ X0 )
= k1_xboole_0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl35]) ).
thf(fc1_waybel11,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ( ( v1_xboole_0 @ ( k1_pre_topc @ A ) )
& ( v1_finset_1 @ ( k1_pre_topc @ A ) )
& ( v5_orders_2 @ ( k1_pre_topc @ A ) @ A )
& ( v1_membered @ ( k1_pre_topc @ A ) )
& ( v2_membered @ ( k1_pre_topc @ A ) )
& ( v3_membered @ ( k1_pre_topc @ A ) )
& ( v4_membered @ ( k1_pre_topc @ A ) )
& ( v5_membered @ ( k1_pre_topc @ A ) )
& ( v1_waybel_0 @ ( k1_pre_topc @ A ) @ A )
& ( v2_waybel_0 @ ( k1_pre_topc @ A ) @ A )
& ( v12_waybel_0 @ ( k1_pre_topc @ A ) @ A )
& ( v13_waybel_0 @ ( k1_pre_topc @ A ) @ A ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( v1_finset_1 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel11]) ).
thf(zip_derived_cl637,plain,
! [X0: $i] :
( ( v1_finset_1 @ k1_xboole_0 )
| ~ ( l1_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl575,zip_derived_cl68]) ).
thf(zip_derived_cl640,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( v1_finset_1 @ k1_xboole_0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl637]) ).
thf(zip_derived_cl644,plain,
v1_finset_1 @ k1_xboole_0,
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl640]) ).
thf(zip_derived_cl1202,plain,
( ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( m1_subset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1199,zip_derived_cl644]) ).
thf(zip_derived_cl1251,plain,
( ~ ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ( v3_struct_0 @ sk__17 )
| ~ ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl1202]) ).
thf(zip_derived_cl576_015,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl40]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel11]) ).
thf(zip_derived_cl67_016,plain,
! [X0: $i] :
( ( v1_xboole_0 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel11]) ).
thf(t8_boole,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( v1_xboole_0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(zip_derived_cl629,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k1_pre_topc @ X0 )
= X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl122]) ).
thf(zip_derived_cl695,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k1_pre_topc @ X1 )
= ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl629]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__1 @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ( v20_waybel_0 @ X1 @ X2 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_orders_2 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[d35_waybel_0]) ).
thf(zip_derived_cl563_017,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( v20_waybel_0 @ sk__19 @ sk__17 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl128]) ).
thf(zip_derived_cl569,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( l1_orders_2 @ sk__18 )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( l1_orders_2 @ sk__17 )
| ( v3_struct_0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl36,zip_derived_cl563]) ).
thf(zip_derived_cl819,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l1_orders_2 @ sk__18 )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( l1_orders_2 @ sk__17 )
| ( v3_struct_0 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl569]) ).
thf(zip_derived_cl131_018,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_019,plain,
l1_orders_2 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_020,plain,
m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_021,plain,
v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125_022,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124_023,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123_024,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl820,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl819,zip_derived_cl131,zip_derived_cl130,zip_derived_cl127,zip_derived_cl126,zip_derived_cl125,zip_derived_cl124,zip_derived_cl123]) ).
thf(zip_derived_cl827,plain,
! [X0: $i] :
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl820]) ).
thf(zip_derived_cl124_025,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl832,plain,
! [X0: $i] :
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl124]) ).
thf(zip_derived_cl769_026,plain,
! [X0: $i] :
( ~ ( v1_finset_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl130,zip_derived_cl131]) ).
thf(zip_derived_cl851,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( v1_finset_1 @ ( k1_pre_topc @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl832,zip_derived_cl769]) ).
thf(zip_derived_cl68_027,plain,
! [X0: $i] :
( ( v1_finset_1 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel11]) ).
thf(zip_derived_cl933,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl851,zip_derived_cl68]) ).
thf(zip_derived_cl934,plain,
( ~ ( l1_orders_2 @ sk__17 )
| ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl933]) ).
thf(zip_derived_cl124_028,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124_029,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl940,plain,
m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl934,zip_derived_cl124,zip_derived_cl124]) ).
thf(zip_derived_cl123_030,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl576_031,plain,
! [X0: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl40]) ).
thf(zip_derived_cl695_032,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( ( k1_pre_topc @ X1 )
= ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl629]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__2 @ X1 @ X0 @ X2 ) @ ( u1_struct_0 @ X2 ) )
| ( v20_waybel_0 @ X1 @ X2 @ X0 )
| ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( l1_orders_2 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[d35_waybel_0]) ).
thf(zip_derived_cl563_033,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( v20_waybel_0 @ sk__19 @ sk__17 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl128]) ).
thf(zip_derived_cl573,plain,
( ( v3_struct_0 @ sk__17 )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ( v3_struct_0 @ sk__18 )
| ~ ( l1_orders_2 @ sk__18 )
| ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( l1_orders_2 @ sk__17 )
| ( v3_struct_0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl38,zip_derived_cl563]) ).
thf(zip_derived_cl1051,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ( v3_struct_0 @ sk__18 )
| ~ ( l1_orders_2 @ sk__18 )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ) )
| ~ ( v1_funct_1 @ sk__19 )
| ~ ( l1_orders_2 @ sk__17 )
| ( v3_struct_0 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl131_034,plain,
~ ( v3_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_035,plain,
l1_orders_2 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl127_036,plain,
m2_relset_1 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126_037,plain,
v1_funct_2 @ sk__19 @ ( u1_struct_0 @ sk__17 ) @ ( u1_struct_0 @ sk__18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125_038,plain,
v1_funct_1 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124_039,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123_040,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1052,plain,
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ sk__17 ) )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1051,zip_derived_cl131,zip_derived_cl130,zip_derived_cl127,zip_derived_cl126,zip_derived_cl125,zip_derived_cl124,zip_derived_cl123]) ).
thf(zip_derived_cl1059,plain,
! [X0: $i] :
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl1052]) ).
thf(zip_derived_cl124_041,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1064,plain,
! [X0: $i] :
( ~ ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1059,zip_derived_cl124]) ).
thf(zip_derived_cl769_042,plain,
! [X0: $i] :
( ~ ( v1_finset_1 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ( r4_waybel_0 @ sk__17 @ sk__18 @ sk__19 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl130,zip_derived_cl131]) ).
thf(zip_derived_cl1084,plain,
! [X0: $i] :
( ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ X0 )
| ~ ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( v1_finset_1 @ ( k1_pre_topc @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1064,zip_derived_cl769]) ).
thf(zip_derived_cl68_043,plain,
! [X0: $i] :
( ( v1_finset_1 @ ( k1_pre_topc @ X0 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel11]) ).
thf(zip_derived_cl1117,plain,
! [X0: $i] :
( ~ ( m1_subset_1 @ ( k1_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1084,zip_derived_cl68]) ).
thf(zip_derived_cl1118,plain,
( ~ ( l1_orders_2 @ sk__17 )
| ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__17 ) ),
inference('sup-',[status(thm)],[zip_derived_cl576,zip_derived_cl1117]) ).
thf(zip_derived_cl124_044,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124_045,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1125,plain,
m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl1118,zip_derived_cl124,zip_derived_cl124]) ).
thf(zip_derived_cl124_046,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1253,plain,
( ~ ( v1_finset_1 @ ( k2_struct_0 @ sk__17 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1251,zip_derived_cl940,zip_derived_cl123,zip_derived_cl1125,zip_derived_cl124]) ).
thf(zip_derived_cl1258,plain,
( ~ ( v1_finset_1 @ ( k2_tarski @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) ) )
| ~ ( m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ( v3_struct_0 @ sk__17 )
| ~ ( m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ) )
| ~ ( l1_orders_2 @ sk__17 )
| ~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl1253]) ).
thf(fc2_finset_1,axiom,
! [A: $i,B: $i] :
( ( v1_finset_1 @ ( k2_tarski @ A @ B ) )
& ~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] : ( v1_finset_1 @ ( k2_tarski @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fc2_finset_1]) ).
thf(zip_derived_cl940_047,plain,
m1_subset_1 @ ( sk__1 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl934,zip_derived_cl124,zip_derived_cl124]) ).
thf(zip_derived_cl123_048,plain,
~ ( v3_struct_0 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1125_049,plain,
m1_subset_1 @ ( sk__2 @ sk__19 @ sk__18 @ sk__17 ) @ ( u1_struct_0 @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl1118,zip_derived_cl124,zip_derived_cl124]) ).
thf(zip_derived_cl124_050,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1259,plain,
~ ( m1_subset_1 @ k1_xboole_0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1258,zip_derived_cl90,zip_derived_cl940,zip_derived_cl123,zip_derived_cl1125,zip_derived_cl124]) ).
thf(zip_derived_cl1261,plain,
~ ( l1_orders_2 @ sk__17 ),
inference('sup-',[status(thm)],[zip_derived_cl680,zip_derived_cl1259]) ).
thf(zip_derived_cl124_051,plain,
l1_orders_2 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1262,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1261,zip_derived_cl124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT379+1 : TPTP v9.2.0. Released v3.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GYJkdZTVXk true
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:45:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.46/0.60 % Total configuration time : 435
% 0.46/0.60 % Estimated wc time : 1092
% 0.46/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.52/0.99 % Solved by fo/fo3_bce.sh.
% 0.52/0.99 % BCE start: 132
% 0.52/0.99 % BCE eliminated: 61
% 0.52/0.99 % PE start: 71
% 0.52/0.99 logic: eq
% 0.52/0.99 % PE eliminated: -11
% 0.52/0.99 % done 251 iterations in 0.249s
% 0.52/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.99 % SZS output start Refutation
% See solution above
% 0.52/0.99
% 0.52/0.99
% 0.52/1.00 % Terminating...
% 3.62/1.14 % Runner terminated.
% 3.62/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------