%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT297+3 : TPTP v9.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8LWZJdn0Tb true
% Computer : n005.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 04:41:24 PM UTC 2025
% Result : Theorem 43.18s 6.79s
% Output : Refutation 43.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 92 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 283 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1035 ( 103 ~; 146 |; 18 &; 741 @)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__29_type,type,
sk__29: $i ).
thf(sk__18_type,type,
sk__18: $i > $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__28_type,type,
sk__28: $i ).
thf(k4_lattices_type,type,
k4_lattices: $i > $i > $i > $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v10_lattices_type,type,
v10_lattices: $i > $o ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(k3_lattices_type,type,
k3_lattices: $i > $i > $i > $i ).
thf(sk__26_type,type,
sk__26: $i > $i > $i ).
thf(l3_lattices_type,type,
l3_lattices: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(m1_filter_0_type,type,
m1_filter_0: $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i > $i > $i ).
thf(m2_lattice4_type,type,
m2_lattice4: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(t13_filter_2,conjecture,
! [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 ) ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_hidden @ C @ B )
& ( r2_hidden @ D @ B ) )
<=> ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B ) ) ) )
=> ( m2_lattice4 @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) )
=> ( ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_hidden @ C @ B )
& ( r2_hidden @ D @ B ) )
<=> ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B ) ) ) )
=> ( m2_lattice4 @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t13_filter_2]) ).
thf(zip_derived_cl112,plain,
~ ( m2_lattice4 @ sk__29 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_filter_0,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( ( m1_filter_0 @ B @ A )
<=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_hidden @ C @ B )
& ( r2_hidden @ D @ B ) )
<=> ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( sk__19 @ X0 @ X1 ) @ X0 )
| ( r2_hidden @ ( k4_lattices @ X1 @ ( sk__18 @ X0 @ X1 ) @ ( sk__19 @ X0 @ X1 ) ) @ X0 )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d1_filter_0]) ).
thf(zip_derived_cl2781,plain,
( ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ( v1_xboole_0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl60]) ).
thf(zip_derived_cl106,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2795,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ( v1_xboole_0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2781,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).
thf(zip_derived_cl113_001,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d10_lattice4,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 ) ) )
=> ( ( m2_lattice4 @ B @ A )
<=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
=> ( ( ( r2_hidden @ C @ B )
& ( r2_hidden @ D @ B ) )
=> ( ( r2_hidden @ ( k4_lattices @ A @ C @ D ) @ B )
& ( r2_hidden @ ( k3_lattices @ A @ C @ D ) @ B ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( sk__26 @ X0 @ X1 ) @ X0 )
| ( m2_lattice4 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d10_lattice4]) ).
thf(zip_derived_cl5827,plain,
( ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m2_lattice4 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( sk__26 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl99]) ).
thf(zip_derived_cl106_002,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_003,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_004,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112_005,plain,
~ ( m2_lattice4 @ sk__29 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5834,plain,
r2_hidden @ ( sk__26 @ sk__29 @ sk__28 ) @ sk__29,
inference(demod,[status(thm)],[zip_derived_cl5827,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108,zip_derived_cl112]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl5837,plain,
~ ( v1_xboole_0 @ sk__29 ),
inference('sup-',[status(thm)],[zip_derived_cl5834,zip_derived_cl5]) ).
thf(zip_derived_cl5890,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2795,zip_derived_cl5837]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__28 ) )
| ~ ( r2_hidden @ X1 @ sk__29 )
| ~ ( r2_hidden @ X0 @ sk__29 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ X1 @ X0 ) @ sk__29 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__28 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_006,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( r2_hidden @ A @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
=> ( m1_subset_1 @ A @ C ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
| ( m1_subset_1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl418,plain,
! [X0: $i] :
( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__28 ) )
| ~ ( r2_hidden @ X0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl38]) ).
thf(zip_derived_cl6385,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__28 ) )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ X1 @ X0 ) @ sk__29 )
| ~ ( r2_hidden @ X0 @ sk__29 )
| ~ ( r2_hidden @ X1 @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl418]) ).
thf(zip_derived_cl418_007,plain,
! [X0: $i] :
( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__28 ) )
| ~ ( r2_hidden @ X0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl38]) ).
thf(zip_derived_cl6386,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X1 @ sk__29 )
| ~ ( r2_hidden @ X0 @ sk__29 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ X1 @ X0 ) @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl6385,zip_derived_cl418]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ~ ( r2_hidden @ ( sk__18 @ X0 @ X1 ) @ X0 )
| ~ ( r2_hidden @ ( sk__19 @ X0 @ X1 ) @ X0 )
| ~ ( r2_hidden @ ( k4_lattices @ X1 @ ( sk__18 @ X0 @ X1 ) @ ( sk__19 @ X0 @ X1 ) ) @ X0 )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d1_filter_0]) ).
thf(zip_derived_cl6418,plain,
( ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ) )
| ( v1_xboole_0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6386,zip_derived_cl61]) ).
thf(zip_derived_cl106_008,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_009,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_010,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113_011,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5837_012,plain,
~ ( v1_xboole_0 @ sk__29 ),
inference('sup-',[status(thm)],[zip_derived_cl5834,zip_derived_cl5]) ).
thf(zip_derived_cl6425,plain,
( ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl6418,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108,zip_derived_cl113,zip_derived_cl5837]) ).
thf(zip_derived_cl6426,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl6425]) ).
thf(zip_derived_cl113_013,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( sk__18 @ X0 @ X1 ) @ X0 )
| ( r2_hidden @ ( k4_lattices @ X1 @ ( sk__18 @ X0 @ X1 ) @ ( sk__19 @ X0 @ X1 ) ) @ X0 )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d1_filter_0]) ).
thf(zip_derived_cl2713,plain,
( ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ( v1_xboole_0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl59]) ).
thf(zip_derived_cl106_014,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_015,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_016,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2727,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ( v1_xboole_0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2713,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).
thf(zip_derived_cl5837_017,plain,
~ ( v1_xboole_0 @ sk__29 ),
inference('sup-',[status(thm)],[zip_derived_cl5834,zip_derived_cl5]) ).
thf(zip_derived_cl5889,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2727,zip_derived_cl5837]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__28 ) )
| ~ ( r2_hidden @ ( k4_lattices @ sk__28 @ X1 @ X0 ) @ sk__29 )
| ( r2_hidden @ X1 @ sk__29 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__28 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11625,plain,
( ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5889,zip_derived_cl110]) ).
thf(zip_derived_cl11641,plain,
( ~ ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ~ ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11625]) ).
thf(zip_derived_cl113_018,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( m1_subset_1 @ ( sk__19 @ X0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d1_filter_0]) ).
thf(zip_derived_cl2983,plain,
( ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( v1_xboole_0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl62]) ).
thf(zip_derived_cl106_019,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_020,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_021,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2996,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( v1_xboole_0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2983,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).
thf(zip_derived_cl5837_022,plain,
~ ( v1_xboole_0 @ sk__29 ),
inference('sup-',[status(thm)],[zip_derived_cl5834,zip_derived_cl5]) ).
thf(zip_derived_cl5901,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2996,zip_derived_cl5837]) ).
thf(zip_derived_cl11644,plain,
( ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11641,zip_derived_cl5901]) ).
thf(zip_derived_cl113_023,plain,
m1_subset_1 @ sk__29 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__28 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( m1_subset_1 @ ( sk__18 @ X0 @ X1 ) @ ( u1_struct_0 @ X1 ) )
| ( m1_filter_0 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[d1_filter_0]) ).
thf(zip_derived_cl2591,plain,
( ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( v1_xboole_0 @ sk__29 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl58]) ).
thf(zip_derived_cl106_024,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_025,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_026,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2604,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( v1_xboole_0 @ sk__29 ) ),
inference(demod,[status(thm)],[zip_derived_cl2591,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).
thf(zip_derived_cl5837_027,plain,
~ ( v1_xboole_0 @ sk__29 ),
inference('sup-',[status(thm)],[zip_derived_cl5834,zip_derived_cl5]) ).
thf(zip_derived_cl5886,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2604,zip_derived_cl5837]) ).
thf(zip_derived_cl11645,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( sk__18 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl11644,zip_derived_cl5886]) ).
thf(zip_derived_cl11679,plain,
( ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_filter_0 @ sk__29 @ sk__28 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6426,zip_derived_cl11645]) ).
thf(zip_derived_cl11680,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11679]) ).
thf(zip_derived_cl11857,plain,
( ( r2_hidden @ ( k4_lattices @ sk__28 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( sk__19 @ sk__29 @ sk__28 ) ) @ sk__29 )
| ( m1_filter_0 @ sk__29 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl5890,zip_derived_cl11680]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__28 ) )
| ~ ( r2_hidden @ ( k4_lattices @ sk__28 @ X1 @ X0 ) @ sk__29 )
| ( r2_hidden @ X0 @ sk__29 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__28 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11892,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ~ ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11857,zip_derived_cl111]) ).
thf(zip_derived_cl5886_028,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__18 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2604,zip_derived_cl5837]) ).
thf(zip_derived_cl11922,plain,
( ~ ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) )
| ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 )
| ( m1_filter_0 @ sk__29 @ sk__28 ) ),
inference(clc,[status(thm)],[zip_derived_cl11892,zip_derived_cl5886]) ).
thf(zip_derived_cl5901_029,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( m1_subset_1 @ ( sk__19 @ sk__29 @ sk__28 ) @ ( u1_struct_0 @ sk__28 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2996,zip_derived_cl5837]) ).
thf(zip_derived_cl11923,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(clc,[status(thm)],[zip_derived_cl11922,zip_derived_cl5901]) ).
thf(zip_derived_cl11680_030,plain,
( ( m1_filter_0 @ sk__29 @ sk__28 )
| ~ ( r2_hidden @ ( sk__19 @ sk__29 @ sk__28 ) @ sk__29 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11679]) ).
thf(zip_derived_cl11924,plain,
m1_filter_0 @ sk__29 @ sk__28,
inference(clc,[status(thm)],[zip_derived_cl11923,zip_derived_cl11680]) ).
thf(t11_lattice4,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v10_lattices @ A )
& ( l3_lattices @ A ) )
=> ! [B: $i] :
( ( m1_filter_0 @ B @ A )
=> ( m2_lattice4 @ B @ A ) ) ) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_filter_0 @ X0 @ X1 )
| ( m2_lattice4 @ X0 @ X1 )
| ~ ( l3_lattices @ X1 )
| ~ ( v10_lattices @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t11_lattice4]) ).
thf(zip_derived_cl11925,plain,
( ( v3_struct_0 @ sk__28 )
| ~ ( v10_lattices @ sk__28 )
| ~ ( l3_lattices @ sk__28 )
| ( m2_lattice4 @ sk__29 @ sk__28 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11924,zip_derived_cl103]) ).
thf(zip_derived_cl106_031,plain,
~ ( v3_struct_0 @ sk__28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_032,plain,
v10_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_033,plain,
l3_lattices @ sk__28,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11926,plain,
m2_lattice4 @ sk__29 @ sk__28,
inference(demod,[status(thm)],[zip_derived_cl11925,zip_derived_cl106,zip_derived_cl107,zip_derived_cl108]) ).
thf(zip_derived_cl11927,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl11926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT297+3 : TPTP v9.2.0. Released v3.4.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8LWZJdn0Tb true
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 14:29:24 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.48/0.58 % Total configuration time : 435
% 0.48/0.58 % Estimated wc time : 1092
% 0.48/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 43.18/6.79 % Solved by fo/fo4.sh.
% 43.18/6.79 % done 2892 iterations in 6.051s
% 43.18/6.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 43.18/6.79 % SZS output start Refutation
% See solution above
% 43.18/6.79
% 43.18/6.79
% 43.18/6.79 % Terminating...
% 43.18/6.83 % Runner terminated.
% 43.18/6.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------