%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT323+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.RIMiiyPyYl true
% Computer : n002.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 04:41:32 PM UTC 2025
% Result : Theorem 49.20s 7.61s
% Output : Refutation 49.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 161 ( 81 unt; 0 typ; 0 def)
% Number of atoms : 512 ( 19 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1569 ( 226 ~; 249 |; 65 &; 992 @)
% ( 5 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 0 ^; 85 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(r2_filter_2_type,type,
r2_filter_2: $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v9_lattices_type,type,
v9_lattices: $i > $o ).
thf(v1_filter_0_type,type,
v1_filter_0: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v11_lattices_type,type,
v11_lattices: $i > $o ).
thf(k1_lattice2_type,type,
k1_lattice2: $i > $i ).
thf(v12_lattices_type,type,
v12_lattices: $i > $o ).
thf(v13_lattices_type,type,
v13_lattices: $i > $o ).
thf(m1_filter_2_type,type,
m1_filter_2: $i > $i > $o ).
thf(v6_lattices_type,type,
v6_lattices: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(v15_lattices_type,type,
v15_lattices: $i > $o ).
thf(m2_filter_2_type,type,
m2_filter_2: $i > $i > $o ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(k15_filter_2_type,type,
k15_filter_2: $i > $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(v16_lattices_type,type,
v16_lattices: $i > $o ).
thf(v8_lattices_type,type,
v8_lattices: $i > $o ).
thf(k7_filter_2_type,type,
k7_filter_2: $i > $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(v3_lattices_type,type,
v3_lattices: $i > $o ).
thf(k7_lattices_type,type,
k7_lattices: $i > $i > $i ).
thf(v17_lattices_type,type,
v17_lattices: $i > $o ).
thf(v4_lattices_type,type,
v4_lattices: $i > $o ).
thf(v5_lattices_type,type,
v5_lattices: $i > $o ).
thf(v14_lattices_type,type,
v14_lattices: $i > $o ).
thf(k5_filter_2_type,type,
k5_filter_2: $i > $i > $i ).
thf(v7_lattices_type,type,
v7_lattices: $i > $o ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(t59_filter_2,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( r2_filter_2 @ A @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r2_hidden @ C @ B )
<=> ~ ( r2_hidden @ ( k7_lattices @ A @ C ) @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( r2_filter_2 @ A @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r2_hidden @ C @ B )
<=> ~ ( r2_hidden @ ( k7_lattices @ A @ C ) @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t59_filter_2]) ).
thf(zip_derived_cl0,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
( ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ sk__1 )
| ~ ( r2_hidden @ sk__2 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k1_lattice2,axiom,
! [A: $i] :
( ( l3_lattices @ A )
=> ( ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( l3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(fc6_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl8,plain,
m2_filter_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k15_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m2_filter_2 @ B @ A ) )
=> ( m1_filter_2 @ ( k15_filter_2 @ A @ B ) @ ( k1_lattice2 @ A ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m2_filter_2 @ X1 @ X0 )
| ( m1_filter_2 @ ( k15_filter_2 @ X0 @ X1 ) @ ( k1_lattice2 @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k15_filter_2]) ).
thf(zip_derived_cl1546,plain,
( ( m1_filter_2 @ ( k15_filter_2 @ sk_ @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl52]) ).
thf(zip_derived_cl0_001,plain,
~ ( v3_struct_0 @ 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_cl3,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1548,plain,
m1_filter_2 @ ( k15_filter_2 @ sk_ @ sk__1 ) @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1546,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl8_002,plain,
m2_filter_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k15_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m2_filter_2 @ B @ A ) )
=> ( ( k15_filter_2 @ A @ B )
= ( k7_filter_2 @ A @ B ) ) ) ).
thf(zip_derived_cl244,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m2_filter_2 @ X1 @ X0 )
| ( ( k15_filter_2 @ X0 @ X1 )
= ( k7_filter_2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[redefinition_k15_filter_2]) ).
thf(zip_derived_cl4174,plain,
( ( ( k15_filter_2 @ sk_ @ sk__1 )
= ( k7_filter_2 @ sk_ @ sk__1 ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl244]) ).
thf(zip_derived_cl8_003,plain,
m2_filter_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m2_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ~ ( v1_xboole_0 @ B )
& ( m2_lattice4 @ B @ A ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ( m2_lattice4 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_filter_2]) ).
thf(zip_derived_cl1511,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m2_lattice4 @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl72]) ).
thf(zip_derived_cl0_004,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_005,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_006,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1513,plain,
m2_lattice4 @ sk__1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl1511,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(dt_m2_lattice4,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_lattice4 @ B @ A )
=> ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_lattice4 @ X0 @ X1 )
| ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m2_lattice4]) ).
thf(zip_derived_cl1970,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1513,zip_derived_cl74]) ).
thf(zip_derived_cl0_007,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_008,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_009,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1973,plain,
m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1970,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(d6_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
=> ( ( k7_filter_2 @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( ( k7_filter_2 @ X1 @ X0 )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d6_filter_2]) ).
thf(zip_derived_cl2000,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k7_filter_2 @ sk_ @ sk__1 )
= sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1973,zip_derived_cl49]) ).
thf(zip_derived_cl0_010,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_011,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_012,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2016,plain,
( ( k7_filter_2 @ sk_ @ sk__1 )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl2000,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl0_013,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_014,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_015,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4176,plain,
( ( k15_filter_2 @ sk_ @ sk__1 )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl4174,zip_derived_cl2016,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl4178,plain,
m1_filter_2 @ sk__1 @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl1548,zip_derived_cl4176]) ).
thf(redefinition_m1_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_2 @ B @ A )
<=> ( m1_filter_0 @ B @ A ) ) ) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_2 @ X0 @ X1 )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[redefinition_m1_filter_2]) ).
thf(zip_derived_cl4186,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4178,zip_derived_cl246]) ).
thf(zip_derived_cl4231,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl4186]) ).
thf(zip_derived_cl0_016,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_017,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_018,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4237,plain,
( ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4231,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl4238,plain,
( ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl4237]) ).
thf(zip_derived_cl3_019,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4244,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4238,zip_derived_cl3]) ).
thf(fc4_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) )
& ( v4_lattices @ ( k1_lattice2 @ A ) )
& ( v5_lattices @ ( k1_lattice2 @ A ) )
& ( v6_lattices @ ( k1_lattice2 @ A ) )
& ( v7_lattices @ ( k1_lattice2 @ A ) )
& ( v8_lattices @ ( k1_lattice2 @ A ) )
& ( v9_lattices @ ( k1_lattice2 @ A ) )
& ( v10_lattices @ ( k1_lattice2 @ A ) )
& ( v11_lattices @ ( k1_lattice2 @ A ) )
& ( v12_lattices @ ( k1_lattice2 @ A ) )
& ( v13_lattices @ ( k1_lattice2 @ A ) )
& ( v14_lattices @ ( k1_lattice2 @ A ) )
& ( v15_lattices @ ( k1_lattice2 @ A ) )
& ( v16_lattices @ ( k1_lattice2 @ A ) )
& ( v17_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl127,plain,
! [X0: $i] :
( ( v17_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v17_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc4_filter_2]) ).
thf(zip_derived_cl54_020,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl147_021,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl5,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k5_filter_2,axiom,
! [A: $i,B: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A )
& ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) )
=> ( m1_subset_1 @ ( k5_filter_2 @ A @ B ) @ ( u1_struct_0 @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ( m1_subset_1 @ ( k5_filter_2 @ X0 @ X1 ) @ ( u1_struct_0 @ ( k1_lattice2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k5_filter_2]) ).
thf(zip_derived_cl1605,plain,
( ( m1_subset_1 @ ( k5_filter_2 @ sk_ @ sk__2 ) @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl58]) ).
thf(zip_derived_cl5_022,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_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 ) )
=> ( ( k5_filter_2 @ A @ B )
= B ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k5_filter_2 @ X1 @ X0 )
= X0 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d4_filter_2]) ).
thf(zip_derived_cl1277,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k5_filter_2 @ sk_ @ sk__2 )
= sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl48]) ).
thf(zip_derived_cl0_023,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_024,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_025,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1281,plain,
( ( k5_filter_2 @ sk_ @ sk__2 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl1277,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl0_026,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_027,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_028,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1611,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1605,zip_derived_cl1281,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(t59_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( ( v1_filter_0 @ B @ A )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r2_hidden @ C @ B )
<=> ~ ( r2_hidden @ ( k7_lattices @ A @ C ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( r2_hidden @ ( k7_lattices @ X1 @ X2 ) @ X0 )
| ( r2_hidden @ X2 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v17_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t59_filter_0]) ).
thf(zip_derived_cl5240,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ X0 )
| ( r2_hidden @ ( k7_lattices @ ( k1_lattice2 @ sk_ ) @ sk__2 ) @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1611,zip_derived_cl258]) ).
thf(zip_derived_cl5_029,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l70_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( v17_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ( ( k7_lattices @ ( k1_lattice2 @ A ) @ ( k5_filter_2 @ A @ B ) )
= ( k7_lattices @ A @ B ) ) ) ) ).
thf(zip_derived_cl151,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k7_lattices @ ( k1_lattice2 @ X1 ) @ ( k5_filter_2 @ X1 @ X0 ) )
= ( k7_lattices @ X1 @ X0 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v17_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[l70_filter_2]) ).
thf(zip_derived_cl4720,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v17_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( ( k7_lattices @ ( k1_lattice2 @ sk_ ) @ ( k5_filter_2 @ sk_ @ sk__2 ) )
= ( k7_lattices @ sk_ @ sk__2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl151]) ).
thf(zip_derived_cl0_030,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_031,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v17_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_032,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1281_033,plain,
( ( k5_filter_2 @ sk_ @ sk__2 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl1277,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl4750,plain,
( ( k7_lattices @ ( k1_lattice2 @ sk_ ) @ sk__2 )
= ( k7_lattices @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4720,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl1281]) ).
thf(zip_derived_cl5273,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ X0 )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5240,zip_derived_cl4750]) ).
thf(zip_derived_cl45125,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl5273]) ).
thf(zip_derived_cl0_034,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_035,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_036,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45131,plain,
! [X0: $i] :
( ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45125,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl45132,plain,
! [X0: $i] :
( ~ ( l3_lattices @ sk_ )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ X0 )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl45131]) ).
thf(zip_derived_cl3_037,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45138,plain,
! [X0: $i] :
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ X0 )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45132,zip_derived_cl3]) ).
thf(zip_derived_cl45139,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v17_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl45138]) ).
thf(zip_derived_cl0_038,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_039,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_040,plain,
v17_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_041,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45145,plain,
! [X0: $i] :
( ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45139,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl45146,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ sk__1 )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4244,zip_derived_cl45145]) ).
thf(zip_derived_cl8_042,plain,
m2_filter_2 @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t33_filter_2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m2_filter_2 @ B @ A )
=> ( ( r2_filter_2 @ A @ B )
<=> ( v1_filter_0 @ ( k15_filter_2 @ A @ B ) @ ( k1_lattice2 @ A ) ) ) ) ) ).
thf(zip_derived_cl252,plain,
! [X0: $i,X1: $i] :
( ~ ( m2_filter_2 @ X0 @ X1 )
| ~ ( r2_filter_2 @ X1 @ X0 )
| ( v1_filter_0 @ ( k15_filter_2 @ X1 @ X0 ) @ ( k1_lattice2 @ X1 ) )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t33_filter_2]) ).
thf(zip_derived_cl4849,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ( v1_filter_0 @ ( k15_filter_2 @ sk_ @ sk__1 ) @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_filter_2 @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl252]) ).
thf(zip_derived_cl0_043,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_044,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_045,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4176_046,plain,
( ( k15_filter_2 @ sk_ @ sk__1 )
= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl4174,zip_derived_cl2016,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl4,plain,
r2_filter_2 @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4851,plain,
v1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl4849,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3,zip_derived_cl4176,zip_derived_cl4]) ).
thf(zip_derived_cl45154,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ sk__1 )
| ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl45146,zip_derived_cl4851]) ).
thf(zip_derived_cl45155,plain,
( ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ sk__1 )
| ( r2_hidden @ sk__2 @ sk__1 )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl45154]) ).
thf(zip_derived_cl7,plain,
( ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ sk__1 )
| ( r2_hidden @ sk__2 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45158,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( r2_hidden @ sk__2 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl45155,zip_derived_cl7]) ).
thf(fc1_lattice2,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l3_lattices @ A ) )
=> ( ~ ( v3_struct_0 @ ( k1_lattice2 @ A ) )
& ( v3_lattices @ ( k1_lattice2 @ A ) ) ) ) ).
thf(zip_derived_cl95,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_lattice2]) ).
thf(zip_derived_cl45159,plain,
( ( r2_hidden @ sk__2 @ sk__1 )
| ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl45158,zip_derived_cl95]) ).
thf(zip_derived_cl0_047,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_048,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45165,plain,
r2_hidden @ sk__2 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl45159,zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl45166,plain,
r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl45165]) ).
thf(zip_derived_cl127_049,plain,
! [X0: $i] :
( ( v17_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v17_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc4_filter_2]) ).
thf(zip_derived_cl54_050,plain,
! [X0: $i] :
( ( l3_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 ) ),
inference(cnf,[status(esa)],[dt_k1_lattice2]) ).
thf(zip_derived_cl147_051,plain,
! [X0: $i] :
( ( v10_lattices @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ~ ( v10_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc6_lattice2]) ).
thf(zip_derived_cl4750_052,plain,
( ( k7_lattices @ ( k1_lattice2 @ sk_ ) @ sk__2 )
= ( k7_lattices @ sk_ @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4720,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl1281]) ).
thf(zip_derived_cl257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ~ ( r2_hidden @ X2 @ X0 )
| ~ ( r2_hidden @ ( k7_lattices @ X1 @ X2 ) @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( v1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v17_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t59_filter_0]) ).
thf(zip_derived_cl5143,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4750,zip_derived_cl257]) ).
thf(zip_derived_cl1611_053,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k1_lattice2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl1605,zip_derived_cl1281,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl5153,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v10_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5143,zip_derived_cl1611]) ).
thf(zip_derived_cl19011,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl5153]) ).
thf(zip_derived_cl0_054,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_055,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_056,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19017,plain,
! [X0: $i] :
( ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( l3_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl19011,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl19018,plain,
! [X0: $i] :
( ~ ( l3_lattices @ sk_ )
| ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl19017]) ).
thf(zip_derived_cl3_057,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19024,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v17_lattices @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19018,zip_derived_cl3]) ).
thf(zip_derived_cl19025,plain,
! [X0: $i] :
( ( v3_struct_0 @ sk_ )
| ~ ( v10_lattices @ sk_ )
| ~ ( v17_lattices @ sk_ )
| ~ ( l3_lattices @ sk_ )
| ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl19024]) ).
thf(zip_derived_cl0_058,plain,
~ ( v3_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_059,plain,
v10_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_060,plain,
v17_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_061,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19031,plain,
! [X0: $i] :
( ~ ( m1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ X0 )
| ~ ( v1_filter_0 @ X0 @ ( k1_lattice2 @ sk_ ) )
| ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ ( k7_lattices @ sk_ @ sk__2 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl19025,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl45277,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( v1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) )
| ~ ( r2_hidden @ sk__2 @ sk__1 )
| ~ ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45166,zip_derived_cl19031]) ).
thf(zip_derived_cl4851_062,plain,
v1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl4849,zip_derived_cl0,zip_derived_cl1,zip_derived_cl3,zip_derived_cl4176,zip_derived_cl4]) ).
thf(zip_derived_cl45165_063,plain,
r2_hidden @ sk__2 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl45159,zip_derived_cl0,zip_derived_cl3]) ).
thf(zip_derived_cl45290,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ~ ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45277,zip_derived_cl4851,zip_derived_cl45165]) ).
thf(zip_derived_cl4244_064,plain,
( ( v3_struct_0 @ ( k1_lattice2 @ sk_ ) )
| ( m1_filter_0 @ sk__1 @ ( k1_lattice2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4238,zip_derived_cl3]) ).
thf(zip_derived_cl45324,plain,
v3_struct_0 @ ( k1_lattice2 @ sk_ ),
inference(clc,[status(thm)],[zip_derived_cl45290,zip_derived_cl4244]) ).
thf(zip_derived_cl95_065,plain,
! [X0: $i] :
( ~ ( v3_struct_0 @ ( k1_lattice2 @ X0 ) )
| ~ ( l3_lattices @ X0 )
| ( v3_struct_0 @ X0 ) ),
inference(cnf,[status(esa)],[fc1_lattice2]) ).
thf(zip_derived_cl45325,plain,
( ( v3_struct_0 @ sk_ )
| ~ ( l3_lattices @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl45324,zip_derived_cl95]) ).
thf(zip_derived_cl3_066,plain,
l3_lattices @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45331,plain,
v3_struct_0 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl45325,zip_derived_cl3]) ).
thf(zip_derived_cl45443,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl45331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT323+1 : TPTP v9.2.0. Released v3.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RIMiiyPyYl true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 14:39:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 49.20/7.61 % Solved by fo/fo5.sh.
% 49.20/7.61 % done 4122 iterations in 6.822s
% 49.20/7.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 49.20/7.61 % SZS output start Refutation
% See solution above
% 49.20/7.61
% 49.20/7.61
% 49.20/7.61 % Terminating...
% 49.20/7.67 % Runner terminated.
% 49.22/7.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------