%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT337+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.9wAuw6n09J true
% Computer : n021.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 04:41:36 PM UTC 2025
% Result : Theorem 4.37s 1.20s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 160 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 515 ( 0 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 1801 ( 290 ~; 247 |; 58 &;1156 @)
% ( 0 <=>; 22 =>; 28 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 26 usr; 4 con; 0-3 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_lattices_type,type,
r3_lattices: $i > $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(v15_lattices_type,type,
v15_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v17_lattices_type,type,
v17_lattices: $i > $o ).
thf(v11_lattices_type,type,
v11_lattices: $i > $o ).
thf(k23_filter_2_type,type,
k23_filter_2: $i > $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(v12_lattices_type,type,
v12_lattices: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(v16_lattices_type,type,
v16_lattices: $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(v13_lattices_type,type,
v13_lattices: $i > $o ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(k22_filter_2_type,type,
k22_filter_2: $i > $i > $i > $i ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(cc6_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v11_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v17_lattices @ A ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v11_lattices @ X0 )
| ~ ( v15_lattices @ X0 )
| ~ ( v16_lattices @ X0 )
| ( v17_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc6_lattices]) ).
thf(t87_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A )
& ( r3_lattices @ A @ B @ C ) )
=> ( ~ ( v3_struct_0 @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v10_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v17_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( l3_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A )
& ( r3_lattices @ A @ B @ C ) )
=> ( ~ ( v3_struct_0 @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v10_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v17_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( l3_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t87_filter_2]) ).
thf(zip_derived_cl4,plain,
( ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ~ ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ~ ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl393,plain,
( ( ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) )
<= ~ ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl247]) ).
thf(zip_derived_cl400,plain,
( ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf(t78_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) )
=> ( ( v11_lattices @ A )
=> ( v11_lattices @ ( k23_filter_2 @ A @ B ) ) ) ) ) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m2_lattice4 @ X0 @ X1 )
| ( v11_lattices @ ( k23_filter_2 @ X1 @ X0 ) )
| ~ ( v11_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t78_filter_2]) ).
thf(zip_derived_cl1053,plain,
( ( ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) )
| ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ )
| ~ ( v11_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) )
<= ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl400,zip_derived_cl238]) ).
thf(zip_derived_cl7,plain,
v17_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc5_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v17_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v11_lattices @ A )
& ( v13_lattices @ A )
& ( v14_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v17_lattices @ X0 )
| ( v11_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc5_lattices]) ).
thf(zip_derived_cl306,plain,
( ( v3_struct_0 @ sk_ )
| ( v11_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl33]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308,plain,
v11_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl2_001,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_002,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1062,plain,
( ( ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) )
| ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ) )
<= ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1053,zip_derived_cl308,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0]) ).
thf(cc7_lattices,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v11_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ A )
& ( v4_lattices @ A )
& ( v5_lattices @ A )
& ( v6_lattices @ A )
& ( v7_lattices @ A )
& ( v8_lattices @ A )
& ( v9_lattices @ A )
& ( v10_lattices @ A )
& ( v12_lattices @ A ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v11_lattices @ X0 )
| ( v12_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc7_lattices]) ).
thf(t86_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v15_lattices @ A )
& ( v16_lattices @ A )
& ( l3_lattices @ A )
& ( v12_lattices @ A )
& ( r3_lattices @ A @ B @ C ) )
=> ( ~ ( v3_struct_0 @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v10_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v15_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( v16_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) )
& ( l3_lattices @ ( k23_filter_2 @ A @ ( k22_filter_2 @ A @ B @ C ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v12_lattices @ X1 )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ( v16_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t86_filter_2]) ).
thf(zip_derived_cl1317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( v16_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( v12_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl243]) ).
thf(zip_derived_cl398,plain,
( ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf(zip_derived_cl1318,plain,
( ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v15_lattices @ sk_ )
| ~ ( v16_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v12_lattices @ sk_ )
| ~ ( r3_lattices @ sk_ @ sk__1 @ sk__2 )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) )
<= ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1317,zip_derived_cl398]) ).
thf(zip_derived_cl10,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_003,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_004,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_005,plain,
v17_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v17_lattices @ X0 )
| ( v15_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc5_lattices]) ).
thf(zip_derived_cl320,plain,
( ( v3_struct_0 @ sk_ )
| ( v15_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl36]) ).
thf(zip_derived_cl0_006,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_007,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322,plain,
v15_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl7_008,plain,
v17_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v17_lattices @ X0 )
| ( v16_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc5_lattices]) ).
thf(zip_derived_cl329,plain,
( ( v3_struct_0 @ sk_ )
| ( v16_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl37]) ).
thf(zip_derived_cl0_009,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_010,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331,plain,
v16_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl2_011,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
r3_lattices @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1332,plain,
( ~ ( v12_lattices @ sk_ )
<= ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1318,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl322,zip_derived_cl331,zip_derived_cl2,zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl1343,plain,
( ( ~ ( l3_lattices @ sk_ )
| ~ ( v11_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) )
<= ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1332]) ).
thf(zip_derived_cl2_012,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308_013,plain,
v11_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1_014,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_015,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1343,zip_derived_cl2,zip_derived_cl308,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl40_016,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v11_lattices @ X0 )
| ( v12_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc7_lattices]) ).
thf(zip_derived_cl242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v12_lattices @ X1 )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ( v15_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t86_filter_2]) ).
thf(zip_derived_cl1288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( v15_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( v12_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl242]) ).
thf(zip_derived_cl399,plain,
( ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf(zip_derived_cl1289,plain,
( ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v15_lattices @ sk_ )
| ~ ( v16_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v12_lattices @ sk_ )
| ~ ( r3_lattices @ sk_ @ sk__1 @ sk__2 )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) )
<= ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1288,zip_derived_cl399]) ).
thf(zip_derived_cl10_017,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_018,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_019,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322_020,plain,
v15_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl331_021,plain,
v16_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl2_022,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_023,plain,
r3_lattices @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_024,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1303,plain,
( ~ ( v12_lattices @ sk_ )
<= ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1289,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl322,zip_derived_cl331,zip_derived_cl2,zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl1314,plain,
( ( ~ ( l3_lattices @ sk_ )
| ~ ( v11_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) )
<= ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1303]) ).
thf(zip_derived_cl2_025,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308_026,plain,
v11_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1_027,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_028,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1314,zip_derived_cl2,zip_derived_cl308,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl40_029,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v11_lattices @ X0 )
| ( v12_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc7_lattices]) ).
thf(zip_derived_cl241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v12_lattices @ X1 )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ( v10_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t86_filter_2]) ).
thf(zip_derived_cl1263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( v10_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( v12_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl241]) ).
thf(zip_derived_cl248,plain,
( ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1264,plain,
( ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v15_lattices @ sk_ )
| ~ ( v16_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v12_lattices @ sk_ )
| ~ ( r3_lattices @ sk_ @ sk__1 @ sk__2 )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) )
<= ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1263,zip_derived_cl248]) ).
thf(zip_derived_cl10_030,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_031,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_032,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322_033,plain,
v15_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl331_034,plain,
v16_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl2_035,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_036,plain,
r3_lattices @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_037,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1273,plain,
( ~ ( v12_lattices @ sk_ )
<= ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1264,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl322,zip_derived_cl331,zip_derived_cl2,zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl1278,plain,
( ( ~ ( l3_lattices @ sk_ )
| ~ ( v11_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) )
<= ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1273]) ).
thf(zip_derived_cl2_038,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308_039,plain,
v11_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1_040,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_041,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1278,zip_derived_cl2,zip_derived_cl308,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl40_042,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v11_lattices @ X0 )
| ( v12_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc7_lattices]) ).
thf(zip_derived_cl249,plain,
( ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v12_lattices @ X1 )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( v3_struct_0 @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t86_filter_2]) ).
thf(zip_derived_cl1215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( v3_struct_0 @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( v12_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl240]) ).
thf(zip_derived_cl1225,plain,
( ( ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
| ~ ( r3_lattices @ sk_ @ sk__1 @ sk__2 )
| ~ ( v12_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v16_lattices @ sk_ )
| ~ ( v15_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) )
<= ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl1215]) ).
thf(zip_derived_cl3_043,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_044,plain,
r3_lattices @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_045,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331_046,plain,
v16_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl322_047,plain,
v15_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1_048,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_049,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_050,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1236,plain,
( ~ ( v12_lattices @ sk_ )
<= ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1225,zip_derived_cl3,zip_derived_cl5,zip_derived_cl2,zip_derived_cl331,zip_derived_cl322,zip_derived_cl1,zip_derived_cl0,zip_derived_cl10]) ).
thf(zip_derived_cl1260,plain,
( ( ~ ( l3_lattices @ sk_ )
| ~ ( v11_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) )
<= ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1236]) ).
thf(zip_derived_cl2_051,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308_052,plain,
v11_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1_053,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_054,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
~ ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1260,zip_derived_cl2,zip_derived_cl308,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl40_055,plain,
! [X0: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( v10_lattices @ X0 )
| ~ ( v11_lattices @ X0 )
| ( v12_lattices @ X0 )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[cc7_lattices]) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( v3_struct_0 @ X1 )
| ~ ( v10_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v12_lattices @ X1 )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ( l3_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t86_filter_2]) ).
thf(zip_derived_cl1350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( l3_lattices @ ( k23_filter_2 @ X1 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) )
| ~ ( r3_lattices @ X1 @ X0 @ X2 )
| ~ ( v12_lattices @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v16_lattices @ X1 )
| ~ ( v15_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl244]) ).
thf(zip_derived_cl246,plain,
( ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
<= ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl1351,plain,
( ( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v15_lattices @ sk_ )
| ~ ( v16_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( v12_lattices @ sk_ )
| ~ ( r3_lattices @ sk_ @ sk__1 @ sk__2 )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) )
<= ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1350,zip_derived_cl246]) ).
thf(zip_derived_cl10_056,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_057,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_058,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322_059,plain,
v15_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl331_060,plain,
v16_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl2_061,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_062,plain,
r3_lattices @ sk_ @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_063,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1365,plain,
( ~ ( v12_lattices @ sk_ )
<= ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1351,zip_derived_cl10,zip_derived_cl0,zip_derived_cl1,zip_derived_cl322,zip_derived_cl331,zip_derived_cl2,zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl1376,plain,
( ( ~ ( l3_lattices @ sk_ )
| ~ ( v11_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ ) )
<= ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1365]) ).
thf(zip_derived_cl2_064,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl308_065,plain,
v11_lattices @ sk_,
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1_066,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_067,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1376,zip_derived_cl2,zip_derived_cl308,zip_derived_cl1,zip_derived_cl0]) ).
thf('5',plain,
( ~ ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v10_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('6',plain,
( ~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ( v17_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v15_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( l3_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ~ ( v16_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) )
| ( v3_struct_0 @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl393]) ).
thf('7',plain,
~ ( v11_lattices @ ( k23_filter_2 @ sk_ @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6']) ).
thf(zip_derived_cl1559,plain,
( ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) )
| ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1062,'7']) ).
thf(zip_derived_cl1561,plain,
( ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) )
<= ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1559]) ).
thf(dt_k22_filter_2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
& ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) )
=> ( ~ ( v1_xboole_0 @ ( k22_filter_2 @ A @ B @ C ) )
& ( m2_lattice4 @ ( k22_filter_2 @ A @ B @ C ) @ A ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ( m2_lattice4 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[dt_k22_filter_2]) ).
thf(zip_derived_cl1560,plain,
( ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ )
<= ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl1559]) ).
thf(zip_derived_cl1563,plain,
( ( ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) ) )
<= ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl1560]) ).
thf(zip_derived_cl3_068,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_069,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_070,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_071,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_072,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl1563,zip_derived_cl3,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl10]) ).
thf('9',plain,
( ( v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) )
| ~ ( m2_lattice4 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ) @ sk_ ) ),
inference(split,[status(esa)],[zip_derived_cl1559]) ).
thf('10',plain,
v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ),
inference('sat_resolution*',[status(thm)],['8','9']) ).
thf(zip_derived_cl1568,plain,
v1_xboole_0 @ ( k22_filter_2 @ sk_ @ sk__1 @ sk__2 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1561,'10']) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_xboole_0 @ ( k22_filter_2 @ X1 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[dt_k22_filter_2]) ).
thf(zip_derived_cl1576,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ) )
| ~ ( l3_lattices @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ( v3_struct_0 @ sk_ )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1568,zip_derived_cl53]) ).
thf(zip_derived_cl10_073,plain,
m1_subset_1 @ sk__1 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_074,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_075,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_076,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_077,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1581,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1576,zip_derived_cl10,zip_derived_cl2,zip_derived_cl1,zip_derived_cl0,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : LAT337+1 : TPTP v9.2.0. Released v3.4.0.
% 0.02/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9wAuw6n09J true
% 0.08/0.28 % Computer : n021.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Oct 1 14:38:23 EDT 2025
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.29 % Running in FO mode
% 0.46/0.57 % Total configuration time : 435
% 0.46/0.57 % Estimated wc time : 1092
% 0.46/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.97 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.37/1.20 % Solved by fo/fo1_av.sh.
% 4.37/1.20 % done 736 iterations in 0.469s
% 4.37/1.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.37/1.20 % SZS output start Refutation
% See solution above
% 4.37/1.20
% 4.37/1.20
% 4.37/1.20 % Terminating...
% 4.90/1.31 % Runner terminated.
% 4.90/1.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------